Simulacija tržišta zlata: Usporedba Cobweb i GBM modela
Luka Batarelo
27.06.2026.
1 Uvod
Cilj ovog projekta je simulirati kretanje cijene zlata kroz sljedeće 30 godina (2026.–2056.) primjenom dva simulacijska modela:
- Cobweb model — modelira ekonomsku strukturu ponude i potražnje s vremenskim kašnjenjem
- Geometric Brownian Motion (GBM) — modelira statističko ponašanje cijene kao slučajni hod s trendom
Oba modela proširena su Monte Carlo simulacijom s 1.000 scenarija.
2 Knjižnice i postavke
3 Učitavanje i priprema podataka
Koristimo dva skupa podataka (zlato/USD):
- 4-satni intervali — za startnu cijenu simulacije
- Mjesečni podaci — za kalibraciju modela (2006.–2026.)
Izvor podataka: https://elementum.hr/hr/content/o-nama/burzovna-cijena-zlata-i-srebra.html
dnevni_raw <- read.csv("AUX-EUR-14400-20260610074526.csv",
stringsAsFactors = FALSE, header = TRUE)
dnevni_raw## Date High..kg. Low..kg. Close..kg. X High..troy.oz.
## 1 04:00:00 10-Jun-2026 117457.0 116199.2 116611.2 NA 3653.32
## 2 00:00:00 10-Jun-2026 117779.9 116224.4 116486.8 NA 3663.36
## 3 20:00:00 09-Jun-2026 118703.6 117366.8 117687.3 NA 3692.10
## 4 16:00:00 09-Jun-2026 119091.9 118150.0 118644.3 NA 3704.17
## 5 12:00:00 09-Jun-2026 121119.8 118666.0 118888.4 NA 3767.25
## 6 08:00:00 09-Jun-2026 120781.7 120307.1 120568.7 NA 3756.73
## 7 04:00:00 09-Jun-2026 121166.1 120422.3 120550.7 NA 3768.69
## 8 00:00:00 09-Jun-2026 120982.8 120333.6 120840.9 NA 3762.99
## 9 20:00:00 08-Jun-2026 120756.5 120278.8 120404.0 NA 3755.95
## 10 16:00:00 08-Jun-2026 121071.3 120559.9 120647.7 NA 3765.74
## 11 12:00:00 08-Jun-2026 120996.4 120275.5 120918.7 NA 3763.41
## 12 08:00:00 08-Jun-2026 120725.3 119462.2 120725.3 NA 3754.98
## 13 04:00:00 08-Jun-2026 120481.8 119123.8 119888.7 NA 3747.40
## 14 00:00:00 08-Jun-2026 121458.0 120045.8 120336.2 NA 3777.77
## 15 20:00:00 07-Jun-2026 121291.7 120402.2 121217.8 NA 3772.59
## 16 16:00:00 07-Jun-2026 120800.8 120773.3 120773.3 NA 3757.33
## 17 12:00:00 07-Jun-2026 120800.8 120800.8 120800.8 NA 3757.33
## 18 08:00:00 07-Jun-2026 120800.8 120800.8 120800.8 NA 3757.33
## 19 04:00:00 07-Jun-2026 120800.8 120800.8 120800.8 NA 3757.33
## 20 00:00:00 07-Jun-2026 120800.8 120800.8 120800.8 NA 3757.33
## 21 20:00:00 06-Jun-2026 120800.8 120800.8 120800.8 NA 3757.33
## 22 16:00:00 06-Jun-2026 120800.8 120800.8 120800.8 NA 3757.33
## 23 12:00:00 06-Jun-2026 120800.8 120800.8 120800.8 NA 3757.33
## 24 08:00:00 06-Jun-2026 120800.8 120799.1 120800.8 NA 3757.33
## 25 04:00:00 06-Jun-2026 120799.1 120799.1 120799.1 NA 3757.27
## 26 00:00:00 06-Jun-2026 120799.1 120799.1 120799.1 NA 3757.27
## 27 20:00:00 05-Jun-2026 120842.2 120319.5 120799.1 NA 3758.61
## 28 16:00:00 05-Jun-2026 121255.2 120398.7 120462.2 NA 3771.46
## 29 12:00:00 05-Jun-2026 123607.7 120840.1 120867.2 NA 3844.63
## 30 08:00:00 05-Jun-2026 123603.5 123177.1 123464.3 NA 3844.50
## 31 04:00:00 05-Jun-2026 123489.7 122614.9 123301.8 NA 3840.96
## 32 00:00:00 05-Jun-2026 123733.2 122787.6 122970.1 NA 3848.53
## 33 20:00:00 04-Jun-2026 124080.1 123523.2 123534.6 NA 3859.32
## 34 16:00:00 04-Jun-2026 124099.9 123750.7 124055.2 NA 3859.94
## 35 12:00:00 04-Jun-2026 124711.5 123235.7 123788.3 NA 3878.96
## 36 08:00:00 04-Jun-2026 124662.9 123448.1 124633.2 NA 3877.45
## 37 04:00:00 04-Jun-2026 124161.9 123562.8 123620.1 NA 3861.87
## 38 00:00:00 04-Jun-2026 124001.8 123083.1 123656.5 NA 3856.89
## 39 20:00:00 03-Jun-2026 123640.1 122682.9 123429.9 NA 3845.64
## 40 16:00:00 03-Jun-2026 123401.5 122918.9 123198.2 NA 3838.22
## 41 12:00:00 03-Jun-2026 123816.4 122665.4 123069.9 NA 3851.12
## 42 08:00:00 03-Jun-2026 123641.8 122933.3 123501.7 NA 3845.69
## 43 04:00:00 03-Jun-2026 124103.1 123251.8 123267.0 NA 3860.04
## 44 00:00:00 03-Jun-2026 124299.6 123417.0 123997.8 NA 3866.15
## 45 20:00:00 02-Jun-2026 124212.3 123451.1 123785.1 NA 3863.43
## 46 16:00:00 02-Jun-2026 124399.1 123875.0 124039.3 NA 3869.24
## 47 12:00:00 02-Jun-2026 125096.7 124053.1 124347.3 NA 3890.94
## 48 08:00:00 02-Jun-2026 125262.0 124876.4 124948.4 NA 3896.08
## 49 04:00:00 02-Jun-2026 125348.8 124302.4 125179.5 NA 3898.78
## 50 00:00:00 02-Jun-2026 124339.5 123402.8 124337.5 NA 3867.39
## 51 20:00:00 01-Jun-2026 124025.4 123778.7 123923.3 NA 3857.62
## 52 16:00:00 01-Jun-2026 124200.7 123536.3 123845.1 NA 3863.07
## 53 12:00:00 01-Jun-2026 124496.5 123191.9 123766.4 NA 3872.27
## 54 08:00:00 01-Jun-2026 124591.1 123870.9 124403.6 NA 3875.22
## 55 04:00:00 01-Jun-2026 124850.2 123908.7 124193.5 NA 3883.28
## 56 00:00:00 01-Jun-2026 125444.3 124543.9 124700.8 NA 3901.75
## 57 20:00:00 31-May-2026 125424.4 124692.0 125317.0 NA 3901.14
## 58 16:00:00 31-May-2026 125255.3 125196.3 125255.3 NA 3895.88
## 59 12:00:00 31-May-2026 125196.3 125196.3 125196.3 NA 3894.04
## 60 08:00:00 31-May-2026 125196.3 125196.3 125196.3 NA 3894.04
## 61 04:00:00 31-May-2026 125196.3 125196.3 125196.3 NA 3894.04
## 62 00:00:00 31-May-2026 125196.3 125196.3 125196.3 NA 3894.04
## 63 20:00:00 30-May-2026 125196.3 125196.3 125196.3 NA 3894.04
## 64 16:00:00 30-May-2026 125196.3 125196.3 125196.3 NA 3894.04
## 65 12:00:00 30-May-2026 125196.3 125196.3 125196.3 NA 3894.04
## 66 08:00:00 30-May-2026 125208.8 125196.3 125196.3 NA 3894.43
## 67 04:00:00 30-May-2026 125208.8 125208.8 125208.8 NA 3894.43
## 68 00:00:00 30-May-2026 125208.8 125208.8 125208.8 NA 3894.43
## 69 20:00:00 29-May-2026 125400.9 125144.2 125208.8 NA 3900.40
## 70 16:00:00 29-May-2026 125947.6 125215.1 125282.5 NA 3917.41
## 71 12:00:00 29-May-2026 126507.6 124595.3 125852.9 NA 3934.83
## 72 08:00:00 29-May-2026 125434.4 124685.3 125267.3 NA 3901.45
## 73 04:00:00 29-May-2026 124983.9 124363.1 124957.1 NA 3887.43
## 74 00:00:00 29-May-2026 124670.0 123942.3 124363.2 NA 3877.67
## 75 20:00:00 28-May-2026 124227.4 123875.2 124029.9 NA 3863.91
## 76 16:00:00 28-May-2026 124585.4 123631.1 124162.0 NA 3875.04
## 77 12:00:00 28-May-2026 123716.4 121182.7 123716.4 NA 3848.01
## 78 08:00:00 28-May-2026 121917.2 121249.8 121430.0 NA 3792.05
## 79 04:00:00 28-May-2026 121811.7 121152.3 121501.0 NA 3788.77
## 80 00:00:00 28-May-2026 123331.8 121217.2 121391.0 NA 3836.05
## 81 20:00:00 27-May-2026 123454.0 123013.6 123074.5 NA 3839.85
## 82 16:00:00 27-May-2026 123319.7 122634.8 123057.0 NA 3835.67
## 83 12:00:00 27-May-2026 123140.3 121582.6 122639.3 NA 3830.09
## 84 08:00:00 27-May-2026 124219.2 122279.9 122327.9 NA 3863.65
## 85 04:00:00 27-May-2026 124747.0 123598.8 123796.4 NA 3880.06
## 86 00:00:00 27-May-2026 125017.7 124229.1 124229.1 NA 3888.49
## 87 20:00:00 26-May-2026 125461.3 124329.2 124874.1 NA 3902.28
## 88 16:00:00 26-May-2026 124731.7 124005.2 124618.9 NA 3879.59
## 89 12:00:00 26-May-2026 125236.1 124387.6 124702.5 NA 3895.28
## 90 08:00:00 26-May-2026 125400.2 124471.1 124542.2 NA 3900.38
## 91 04:00:00 26-May-2026 125529.6 124969.0 125389.8 NA 3904.41
## 92 00:00:00 26-May-2026 125986.1 125185.9 125512.0 NA 3918.61
## 93 20:00:00 25-May-2026 126471.3 125837.2 125986.1 NA 3933.70
## 94 16:00:00 25-May-2026 126390.8 126025.7 126195.3 NA 3931.19
## 95 12:00:00 25-May-2026 126268.8 125714.2 126234.8 NA 3927.40
## 96 08:00:00 25-May-2026 126342.0 125753.3 126182.0 NA 3929.68
## 97 04:00:00 25-May-2026 126140.5 125714.0 126110.8 NA 3923.41
## 98 00:00:00 25-May-2026 126384.4 125912.0 125975.6 NA 3931.00
## 99 20:00:00 24-May-2026 126430.8 124953.3 126116.2 NA 3932.44
## 100 16:00:00 24-May-2026 124953.3 124942.5 124953.3 NA 3886.48
## 101 12:00:00 24-May-2026 124942.5 124942.5 124942.5 NA 3886.15
## 102 08:00:00 24-May-2026 124942.5 124942.5 124942.5 NA 3886.15
## 103 04:00:00 24-May-2026 124942.5 124942.5 124942.5 NA 3886.15
## 104 00:00:00 24-May-2026 124942.5 124942.5 124942.5 NA 3886.15
## 105 20:00:00 23-May-2026 124942.5 124942.5 124942.5 NA 3886.15
## 106 16:00:00 23-May-2026 124942.5 124942.5 124942.5 NA 3886.15
## 107 12:00:00 23-May-2026 124942.5 124942.5 124942.5 NA 3886.15
## 108 08:00:00 23-May-2026 124942.5 124942.5 124942.5 NA 3886.15
## 109 04:00:00 23-May-2026 124942.5 124942.5 124942.5 NA 3886.15
## 110 00:00:00 23-May-2026 124942.5 124942.5 124942.5 NA 3886.15
## 111 20:00:00 22-May-2026 124974.6 124813.7 124942.5 NA 3887.14
## 112 16:00:00 22-May-2026 125344.8 124773.2 124888.9 NA 3898.66
## 113 12:00:00 22-May-2026 125633.8 124584.7 125254.6 NA 3907.65
## 114 08:00:00 22-May-2026 125668.5 125053.3 125335.5 NA 3908.73
## 115 04:00:00 22-May-2026 125514.8 124854.1 125238.7 NA 3903.95
## 116 00:00:00 22-May-2026 125716.9 125136.7 125409.5 NA 3910.23
## 117 20:00:00 21-May-2026 125803.0 125454.3 125518.4 NA 3912.91
## 118 16:00:00 21-May-2026 126041.0 125176.4 125692.0 NA 3920.31
## 119 12:00:00 21-May-2026 125291.5 124628.2 125176.4 NA 3897.00
## 120 08:00:00 21-May-2026 125577.8 124882.4 125124.3 NA 3905.90
## 121 04:00:00 21-May-2026 125611.2 125038.4 125190.2 NA 3906.94
## 122 00:00:00 21-May-2026 126307.2 125283.3 125292.2 NA 3928.59
## 123 20:00:00 20-May-2026 125808.8 125410.1 125737.8 NA 3913.09
## 124 16:00:00 20-May-2026 125748.0 125149.3 125696.1 NA 3911.20
## 125 12:00:00 20-May-2026 125683.5 124003.7 125332.2 NA 3909.19
## 126 08:00:00 20-May-2026 124715.8 124081.8 124686.3 NA 3879.10
## 127 04:00:00 20-May-2026 124361.7 123550.8 124206.8 NA 3868.08
## 128 00:00:00 20-May-2026 124893.6 123481.5 123698.0 NA 3884.62
## 129 20:00:00 19-May-2026 124497.5 124020.8 124353.7 NA 3872.30
## 130 16:00:00 19-May-2026 124991.1 124152.0 124194.9 NA 3887.66
## 131 12:00:00 19-May-2026 125808.9 123739.0 124946.6 NA 3913.09
## 132 08:00:00 19-May-2026 125964.2 125330.5 125378.7 NA 3917.92
## 133 04:00:00 19-May-2026 125956.1 125222.9 125923.3 NA 3917.67
## 134 00:00:00 19-May-2026 126607.1 125507.1 125520.7 NA 3937.92
## 135 20:00:00 18-May-2026 126553.9 125741.3 126397.0 NA 3936.27
## 136 16:00:00 18-May-2026 125902.9 125142.7 125772.1 NA 3916.02
## 137 12:00:00 18-May-2026 126457.4 125251.6 125386.8 NA 3933.27
## 138 08:00:00 18-May-2026 126042.9 125278.0 125670.9 NA 3920.37
## 139 04:00:00 18-May-2026 125945.6 125328.7 125656.5 NA 3917.35
## 140 00:00:00 18-May-2026 125798.6 124088.6 125634.1 NA 3912.77
## 141 20:00:00 17-May-2026 125989.0 125296.1 125601.7 NA 3918.70
## 142 16:00:00 17-May-2026 125550.3 125544.9 125544.9 NA 3905.05
## 143 12:00:00 17-May-2026 125550.3 125550.3 125550.3 NA 3905.05
## 144 08:00:00 17-May-2026 125550.3 125550.3 125550.3 NA 3905.05
## 145 04:00:00 17-May-2026 125550.3 125550.3 125550.3 NA 3905.05
## 146 00:00:00 17-May-2026 125550.3 125550.3 125550.3 NA 3905.05
## 147 20:00:00 16-May-2026 125550.3 125550.3 125550.3 NA 3905.05
## 148 16:00:00 16-May-2026 125550.3 125550.3 125550.3 NA 3905.05
## 149 12:00:00 16-May-2026 125550.3 125550.3 125550.3 NA 3905.05
## 150 08:00:00 16-May-2026 125550.3 125550.3 125550.3 NA 3905.05
## 151 04:00:00 16-May-2026 125550.3 125550.3 125550.3 NA 3905.05
## 152 00:00:00 16-May-2026 125550.3 125550.3 125550.3 NA 3905.05
## 153 20:00:00 15-May-2026 125776.9 125427.0 125550.3 NA 3912.10
## 154 16:00:00 15-May-2026 126202.8 125279.9 125760.7 NA 3925.35
## 155 12:00:00 15-May-2026 126232.0 124811.2 125531.5 NA 3926.25
## 156 08:00:00 15-May-2026 126309.8 125376.7 125834.5 NA 3928.67
## 157 04:00:00 15-May-2026 127520.7 125938.0 126287.4 NA 3966.34
## 158 00:00:00 15-May-2026 128399.5 127118.2 127358.2 NA 3993.67
## 159 20:00:00 14-May-2026 128591.8 127987.7 128247.6 NA 3999.65
## 160 16:00:00 14-May-2026 129043.2 128212.0 128228.4 NA 4013.69
## 161 12:00:00 14-May-2026 129431.3 128400.9 129005.8 NA 4025.76
## 162 08:00:00 14-May-2026 129256.1 128748.8 129053.8 NA 4020.31
## 163 04:00:00 14-May-2026 129478.2 128218.6 128895.5 NA 4027.22
## 164 00:00:00 14-May-2026 129149.8 128296.3 128335.6 NA 4017.01
## 165 20:00:00 13-May-2026 129020.1 128657.3 128882.5 NA 4012.97
## 166 16:00:00 13-May-2026 129230.4 128492.6 128729.4 NA 4019.52
## 167 12:00:00 13-May-2026 129018.4 128240.3 128901.6 NA 4012.92
## 168 08:00:00 13-May-2026 129346.0 128782.6 128968.9 NA 4023.11
## 169 04:00:00 13-May-2026 129268.4 128601.1 129170.2 NA 4020.70
## 170 00:00:00 13-May-2026 129471.6 128433.8 128665.9 NA 4027.02
## 171 20:00:00 12-May-2026 129392.3 129053.0 129252.0 NA 4024.55
## 172 16:00:00 12-May-2026 129126.7 127832.9 129126.7 NA 4016.29
## 173 12:00:00 12-May-2026 128940.6 127206.5 127860.8 NA 4010.50
## 174 08:00:00 12-May-2026 128906.2 128239.0 128854.8 NA 4009.43
## 175 04:00:00 12-May-2026 129356.2 128336.1 128624.6 NA 4023.43
## 176 00:00:00 12-May-2026 130310.1 129031.9 129089.6 NA 4053.10
## 177 20:00:00 11-May-2026 130172.7 129159.1 130136.5 NA 4048.82
## 178 16:00:00 11-May-2026 129308.1 128597.9 129217.1 NA 4021.93
## 179 12:00:00 11-May-2026 129525.1 127534.8 129157.2 NA 4028.68
## 180 08:00:00 11-May-2026 127736.1 127054.5 127706.4 NA 3973.04
## Low..troy.oz. Close..troy.oz. X.1
## 1 3614.20 3627.01 NA
## 2 3614.98 3623.14 NA
## 3 3650.51 3660.48 NA
## 4 3674.88 3690.25 NA
## 5 3690.92 3697.84 NA
## 6 3741.97 3750.10 NA
## 7 3745.55 3749.55 NA
## 8 3742.79 3758.57 NA
## 9 3741.09 3744.98 NA
## 10 3749.83 3752.56 NA
## 11 3740.99 3760.99 NA
## 12 3715.69 3754.98 NA
## 13 3705.16 3728.96 NA
## 14 3733.84 3742.87 NA
## 15 3744.93 3770.30 NA
## 16 3756.47 3756.47 NA
## 17 3757.33 3757.33 NA
## 18 3757.33 3757.33 NA
## 19 3757.33 3757.33 NA
## 20 3757.33 3757.33 NA
## 21 3757.33 3757.33 NA
## 22 3757.33 3757.33 NA
## 23 3757.33 3757.33 NA
## 24 3757.27 3757.33 NA
## 25 3757.27 3757.27 NA
## 26 3757.27 3757.27 NA
## 27 3742.35 3757.27 NA
## 28 3744.82 3746.79 NA
## 29 3758.55 3759.39 NA
## 30 3831.24 3840.17 NA
## 31 3813.75 3835.11 NA
## 32 3819.12 3824.80 NA
## 33 3842.00 3842.36 NA
## 34 3849.08 3858.55 NA
## 35 3833.06 3850.25 NA
## 36 3839.67 3876.53 NA
## 37 3843.23 3845.01 NA
## 38 3828.31 3846.15 NA
## 39 3815.86 3839.10 NA
## 40 3823.21 3831.89 NA
## 41 3815.32 3827.90 NA
## 42 3823.65 3841.33 NA
## 43 3833.56 3834.03 NA
## 44 3838.70 3856.76 NA
## 45 3839.76 3850.15 NA
## 46 3852.94 3858.05 NA
## 47 3858.48 3867.63 NA
## 48 3884.09 3886.33 NA
## 49 3866.24 3893.52 NA
## 50 3838.25 3867.33 NA
## 51 3849.95 3854.44 NA
## 52 3842.41 3852.01 NA
## 53 3831.70 3849.57 NA
## 54 3852.82 3869.38 NA
## 55 3853.99 3862.85 NA
## 56 3873.75 3878.63 NA
## 57 3878.35 3897.79 NA
## 58 3894.04 3895.88 NA
## 59 3894.04 3894.04 NA
## 60 3894.04 3894.04 NA
## 61 3894.04 3894.04 NA
## 62 3894.04 3894.04 NA
## 63 3894.04 3894.04 NA
## 64 3894.04 3894.04 NA
## 65 3894.04 3894.04 NA
## 66 3894.04 3894.04 NA
## 67 3894.43 3894.43 NA
## 68 3894.43 3894.43 NA
## 69 3892.42 3894.43 NA
## 70 3894.63 3896.72 NA
## 71 3875.35 3914.46 NA
## 72 3878.15 3896.25 NA
## 73 3868.12 3886.60 NA
## 74 3855.04 3868.13 NA
## 75 3852.95 3857.76 NA
## 76 3845.36 3861.87 NA
## 77 3769.20 3848.01 NA
## 78 3771.29 3776.90 NA
## 79 3768.26 3779.10 NA
## 80 3770.28 3775.68 NA
## 81 3826.15 3828.04 NA
## 82 3814.37 3827.50 NA
## 83 3781.64 3814.51 NA
## 84 3803.33 3804.82 NA
## 85 3844.35 3850.50 NA
## 86 3863.96 3863.96 NA
## 87 3867.07 3884.02 NA
## 88 3856.99 3876.08 NA
## 89 3868.89 3878.68 NA
## 90 3871.48 3873.70 NA
## 91 3886.97 3900.06 NA
## 92 3893.72 3903.86 NA
## 93 3913.98 3918.61 NA
## 94 3919.84 3925.11 NA
## 95 3910.15 3926.34 NA
## 96 3911.36 3924.70 NA
## 97 3910.14 3922.49 NA
## 98 3916.30 3918.28 NA
## 99 3886.48 3922.65 NA
## 100 3886.15 3886.48 NA
## 101 3886.15 3886.15 NA
## 102 3886.15 3886.15 NA
## 103 3886.15 3886.15 NA
## 104 3886.15 3886.15 NA
## 105 3886.15 3886.15 NA
## 106 3886.15 3886.15 NA
## 107 3886.15 3886.15 NA
## 108 3886.15 3886.15 NA
## 109 3886.15 3886.15 NA
## 110 3886.15 3886.15 NA
## 111 3882.14 3886.15 NA
## 112 3880.88 3884.48 NA
## 113 3875.02 3895.85 NA
## 114 3889.59 3898.37 NA
## 115 3883.40 3895.36 NA
## 116 3892.19 3900.67 NA
## 117 3902.06 3904.06 NA
## 118 3893.42 3909.46 NA
## 119 3876.37 3893.42 NA
## 120 3884.28 3891.80 NA
## 121 3889.13 3893.85 NA
## 122 3896.75 3897.02 NA
## 123 3900.69 3910.88 NA
## 124 3892.58 3909.59 NA
## 125 3856.95 3898.27 NA
## 126 3859.38 3878.18 NA
## 127 3842.86 3863.26 NA
## 128 3840.70 3847.44 NA
## 129 3857.48 3867.83 NA
## 130 3861.56 3862.89 NA
## 131 3848.71 3886.27 NA
## 132 3898.21 3899.71 NA
## 133 3894.87 3916.65 NA
## 134 3903.71 3904.13 NA
## 135 3910.99 3931.39 NA
## 136 3892.37 3911.95 NA
## 137 3895.76 3899.96 NA
## 138 3896.58 3908.80 NA
## 139 3898.16 3908.35 NA
## 140 3859.59 3907.66 NA
## 141 3897.14 3906.65 NA
## 142 3904.88 3904.88 NA
## 143 3905.05 3905.05 NA
## 144 3905.05 3905.05 NA
## 145 3905.05 3905.05 NA
## 146 3905.05 3905.05 NA
## 147 3905.05 3905.05 NA
## 148 3905.05 3905.05 NA
## 149 3905.05 3905.05 NA
## 150 3905.05 3905.05 NA
## 151 3905.05 3905.05 NA
## 152 3905.05 3905.05 NA
## 153 3901.22 3905.05 NA
## 154 3896.64 3911.59 NA
## 155 3882.06 3904.46 NA
## 156 3899.65 3913.89 NA
## 157 3917.11 3927.98 NA
## 158 3953.82 3961.28 NA
## 159 3980.86 3988.94 NA
## 160 3987.84 3988.35 NA
## 161 3993.72 4012.53 NA
## 162 4004.54 4014.02 NA
## 163 3988.04 4009.10 NA
## 164 3990.46 3991.68 NA
## 165 4001.69 4008.69 NA
## 166 3996.57 4003.93 NA
## 167 3988.72 4009.29 NA
## 168 4005.59 4011.38 NA
## 169 3999.94 4017.64 NA
## 170 3994.74 4001.96 NA
## 171 4014.00 4020.19 NA
## 172 3976.05 4016.29 NA
## 173 3956.57 3976.91 NA
## 174 3988.68 4007.83 NA
## 175 3991.70 4000.67 NA
## 176 4013.34 4015.14 NA
## 177 4017.30 4047.70 NA
## 178 3999.84 4019.10 NA
## 179 3966.78 4017.24 NA
## 180 3951.84 3972.11 NAmjesecni_raw <- read.csv("AUX-EUR-2592000-20260610074609.csv",
stringsAsFactors = FALSE, header = TRUE)
mjesecni_raw## Date High..kg. Low..kg. Close..kg. X High..troy.oz.
## 1 00:00:00 06-Jun-2026 121458.04 116199.23 116662.20 NA 3777.77
## 2 00:00:00 07-May-2026 130310.09 120319.48 120799.08 NA 4053.10
## 3 00:00:00 07-Apr-2026 133593.95 123890.12 128597.38 NA 4155.24
## 4 00:00:00 08-Mar-2026 144582.44 114324.11 129792.45 NA 4497.02
## 5 00:00:00 06-Feb-2026 148807.40 127172.65 143135.23 NA 4628.43
## 6 00:00:00 07-Jan-2026 150118.89 119509.20 128420.01 NA 4669.22
## 7 00:00:00 08-Dec-2025 124262.47 115174.10 123606.80 NA 3864.99
## 8 00:00:00 08-Nov-2025 117926.76 110868.01 116046.12 NA 3667.93
## 9 00:00:00 09-Oct-2025 121008.23 107289.14 111186.39 NA 3763.78
## 10 00:00:00 09-Sep-2025 112503.29 98936.72 110940.74 NA 3499.24
## 11 00:00:00 10-Aug-2025 99769.34 91285.91 99307.72 NA 3103.17
## 12 00:00:00 11-Jul-2025 94236.82 90745.66 93863.69 NA 2931.09
## 13 00:00:00 11-Jun-2025 96300.38 89099.61 91327.14 NA 2995.28
## 14 00:00:00 12-May-2025 95762.30 89686.65 93545.33 NA 2978.54
## 15 00:00:00 12-Apr-2025 97592.09 90365.60 94128.62 NA 3035.45
## 16 00:00:00 13-Mar-2025 93597.87 86706.16 91573.34 NA 2911.22
## 17 00:00:00 11-Feb-2025 91848.96 85401.47 86778.63 NA 2856.82
## 18 00:00:00 12-Jan-2025 91189.84 83279.96 91065.75 NA 2836.32
## 19 00:00:00 13-Dec-2024 84699.37 80035.49 84416.34 NA 2634.44
## 20 00:00:00 13-Nov-2024 83849.34 77545.00 82287.08 NA 2608.01
## 21 00:00:00 14-Oct-2024 82882.58 77826.62 78705.69 NA 2577.94
## 22 00:00:00 14-Sep-2024 78259.46 73782.43 77948.40 NA 2434.14
## 23 00:00:00 15-Aug-2024 75011.47 71421.34 74851.06 NA 2333.12
## 24 00:00:00 16-Jul-2024 73481.83 69308.99 71519.44 NA 2285.54
## 25 00:00:00 16-Jun-2024 71845.24 69047.64 71468.16 NA 2234.64
## 26 00:00:00 17-May-2024 72398.47 68062.90 70060.06 NA 2251.84
## 27 00:00:00 17-Apr-2024 73204.14 67973.57 70349.03 NA 2276.90
## 28 00:00:00 18-Mar-2024 73515.91 63364.91 72120.44 NA 2286.60
## 29 00:00:00 17-Feb-2024 64502.42 59919.83 63709.35 NA 2006.25
## 30 00:00:00 18-Jan-2024 61140.89 59211.98 60065.24 NA 1901.69
## 31 00:00:00 19-Dec-2023 60774.65 59105.26 59358.80 NA 1890.30
## 32 00:00:00 19-Nov-2023 63271.88 57851.32 59682.35 NA 1967.98
## 33 00:00:00 20-Oct-2023 61150.14 57982.54 58341.47 NA 1901.98
## 34 00:00:00 20-Sep-2023 60198.90 55366.81 60046.17 NA 1872.40
## 35 00:00:00 21-Aug-2023 58234.26 55673.47 58136.90 NA 1811.29
## 36 00:00:00 22-Jul-2023 57616.01 55771.88 55872.93 NA 1792.06
## 37 00:00:00 22-Jun-2023 57181.92 55747.98 56688.00 NA 1778.56
## 38 00:00:00 23-May-2023 59539.22 56537.49 56567.90 NA 1851.88
## 39 00:00:00 23-Apr-2023 60365.96 57618.97 58584.20 NA 1877.59
## 40 00:00:00 24-Mar-2023 59962.56 57844.32 58045.36 NA 1865.04
## 41 00:00:00 22-Feb-2023 60617.30 54719.61 59094.00 NA 1885.41
## 42 00:00:00 23-Jan-2023 57401.35 54959.25 55407.78 NA 1785.38
## 43 00:00:00 24-Dec-2022 57417.82 54349.45 57035.47 NA 1785.89
## 44 00:00:00 24-Nov-2022 55290.73 53384.49 54463.22 NA 1719.73
## 45 00:00:00 25-Oct-2022 55687.15 52963.38 54080.96 NA 1732.06
## 46 00:00:00 25-Sep-2022 56363.54 53241.98 53729.00 NA 1753.10
## 47 00:00:00 26-Aug-2022 56743.58 53399.95 54541.16 NA 1764.92
## 48 00:00:00 27-Jul-2022 56840.37 54299.35 56638.50 NA 1767.93
## 49 00:00:00 27-Jun-2022 56392.35 52902.63 54535.28 NA 1754.00
## 50 00:00:00 28-May-2022 57530.05 54829.25 55719.10 NA 1789.38
## 51 00:00:00 28-Apr-2022 58546.76 55194.18 55526.71 NA 1821.01
## 52 00:00:00 29-Mar-2022 59424.39 54631.38 57442.53 NA 1848.31
## 53 00:00:00 27-Feb-2022 61155.58 53923.49 56285.23 NA 1902.15
## 54 00:00:00 28-Jan-2022 56850.28 50405.31 53923.49 NA 1768.24
## 55 00:00:00 29-Dec-2021 52812.15 50662.67 51848.15 NA 1642.64
## 56 00:00:00 29-Nov-2021 51671.56 50004.87 51344.29 NA 1607.17
## 57 00:00:00 30-Oct-2021 53168.77 48879.69 51119.24 NA 1653.73
## 58 00:00:00 30-Sep-2021 50131.17 47859.46 49611.60 NA 1559.25
## 59 00:00:00 31-Aug-2021 49606.17 47593.30 47914.13 NA 1542.92
## 60 00:00:00 01-Aug-2021 49657.58 46195.10 49346.80 NA 1544.52
## 61 00:00:00 02-Jul-2021 49881.46 48178.09 49131.09 NA 1551.49
## 62 00:00:00 02-Jun-2021 50317.30 47357.72 48193.48 NA 1565.04
## 63 00:00:00 03-May-2021 50379.04 47258.78 49971.09 NA 1566.96
## 64 00:00:00 03-Apr-2021 48119.98 46551.70 47291.93 NA 1496.70
## 65 00:00:00 04-Mar-2021 47518.83 45385.43 47357.44 NA 1478.00
## 66 00:00:00 02-Feb-2021 49604.01 45388.50 45647.02 NA 1542.86
## 67 00:00:00 03-Jan-2021 51168.28 47973.32 49487.41 NA 1591.51
## 68 00:00:00 04-Dec-2020 50304.91 48146.16 49971.94 NA 1564.66
## 69 00:00:00 04-Nov-2020 53126.30 47359.90 48712.28 NA 1652.41
## 70 00:00:00 05-Oct-2020 52618.25 51120.89 52330.87 NA 1636.61
## 71 00:00:00 05-Sep-2020 53513.59 51009.24 52207.59 NA 1664.46
## 72 00:00:00 06-Aug-2020 56232.33 51194.84 52514.53 NA 1749.02
## 73 00:00:00 07-Jul-2020 55550.25 50562.93 55150.48 NA 1727.81
## 74 00:00:00 07-Jun-2020 51310.12 47733.22 50755.59 NA 1595.92
## 75 00:00:00 08-May-2020 52508.55 47502.32 47988.29 NA 1633.20
## 76 00:00:00 08-Apr-2020 51857.67 48552.43 50861.30 NA 1612.95
## 77 00:00:00 09-Mar-2020 49784.44 41848.68 48652.11 NA 1548.47
## 78 00:00:00 08-Feb-2020 50184.91 45744.72 47995.13 NA 1560.93
## 79 00:00:00 09-Jan-2020 46289.33 44345.40 46112.79 NA 1439.76
## 80 00:00:00 10-Dec-2019 46404.65 42036.18 45073.25 NA 1443.35
## 81 00:00:00 10-Nov-2019 43084.94 42197.05 42460.56 NA 1340.09
## 82 00:00:00 11-Oct-2019 43951.30 42444.97 42574.88 NA 1367.04
## 83 00:00:00 11-Sep-2019 44837.39 43085.91 43627.14 NA 1394.60
## 84 00:00:00 12-Aug-2019 45447.61 42597.25 43269.24 NA 1413.58
## 85 00:00:00 13-Jul-2019 43373.67 40145.72 43065.95 NA 1349.07
## 86 00:00:00 13-Jun-2019 40872.62 37941.94 40383.76 NA 1271.28
## 87 00:00:00 14-May-2019 38270.59 36610.05 37968.55 NA 1190.35
## 88 00:00:00 14-Apr-2019 37265.04 36170.21 37260.61 NA 1159.07
## 89 00:00:00 15-Mar-2019 37654.50 36670.52 36719.42 NA 1171.19
## 90 00:00:00 13-Feb-2019 38150.67 36413.83 36856.65 NA 1186.62
## 91 00:00:00 14-Jan-2019 37463.70 36105.74 37169.93 NA 1165.25
## 92 00:00:00 15-Dec-2018 36607.41 35071.79 36138.34 NA 1138.62
## 93 00:00:00 15-Nov-2018 35370.37 34287.49 35222.26 NA 1100.14
## 94 00:00:00 16-Oct-2018 35156.44 33972.02 34419.19 NA 1093.49
## 95 00:00:00 16-Sep-2018 34239.00 32539.30 34055.27 NA 1064.95
## 96 00:00:00 17-Aug-2018 33514.62 32961.30 33018.71 NA 1042.42
## 97 00:00:00 18-Jul-2018 34256.69 32913.71 33227.99 NA 1065.50
## 98 00:00:00 18-Jun-2018 35660.89 33741.48 33858.87 NA 1109.18
## 99 00:00:00 19-May-2018 36444.65 35109.29 35528.38 NA 1133.56
## 100 00:00:00 19-Apr-2018 35717.14 34776.03 35325.18 NA 1110.93
## 101 00:00:00 20-Mar-2018 35435.53 34225.52 35081.23 NA 1102.17
## 102 00:00:00 18-Feb-2018 35014.14 34236.58 34326.84 NA 1089.06
## 103 00:00:00 19-Jan-2018 35289.71 34307.79 34913.45 NA 1097.63
## 104 00:00:00 20-Dec-2017 35517.44 34179.27 34897.58 NA 1104.72
## 105 00:00:00 20-Nov-2017 35449.73 33856.38 34273.54 NA 1102.61
## 106 00:00:00 21-Oct-2017 35708.78 34682.45 35442.43 NA 1110.67
## 107 00:00:00 21-Sep-2017 35632.00 34641.37 34941.97 NA 1108.28
## 108 00:00:00 22-Aug-2017 36247.73 34703.78 35167.98 NA 1127.43
## 109 00:00:00 23-Jul-2017 35596.53 34178.42 35161.43 NA 1107.18
## 110 00:00:00 23-Jun-2017 36222.38 33979.70 34598.23 NA 1126.64
## 111 00:00:00 24-May-2017 37038.39 35820.44 36085.54 NA 1152.02
## 112 00:00:00 24-Apr-2017 37878.85 35766.02 35980.58 NA 1178.16
## 113 00:00:00 25-Mar-2017 39261.14 36892.88 37675.42 NA 1221.16
## 114 00:00:00 23-Feb-2017 38322.45 36123.26 37028.22 NA 1191.96
## 115 00:00:00 24-Jan-2017 37933.62 35538.55 37693.33 NA 1179.87
## 116 00:00:00 25-Dec-2016 36500.51 35296.99 36381.76 NA 1135.29
## 117 00:00:00 25-Nov-2016 36351.54 34671.06 35296.99 NA 1130.66
## 118 00:00:00 26-Oct-2016 38216.22 36007.87 36117.38 NA 1188.66
## 119 00:00:00 26-Sep-2016 38362.59 35783.37 37640.90 NA 1193.21
## 120 00:00:00 27-Aug-2016 38468.45 37731.98 38292.45 NA 1196.50
## 121 00:00:00 28-Jul-2016 39396.86 37554.95 37936.39 NA 1225.38
## 122 00:00:00 28-Jun-2016 40017.38 37854.79 38922.39 NA 1244.68
## 123 00:00:00 29-May-2016 40016.82 34734.86 38668.91 NA 1244.66
## 124 00:00:00 29-Apr-2016 36545.58 34839.65 35094.02 NA 1136.69
## 125 00:00:00 30-Mar-2016 35950.86 34243.66 35829.43 NA 1118.20
## 126 00:00:00 29-Feb-2016 37434.06 34835.43 35291.70 NA 1164.33
## 127 00:00:00 30-Jan-2016 36512.46 32912.13 35945.20 NA 1135.66
## 128 00:00:00 31-Dec-2015 33279.76 31208.16 33187.73 NA 1035.12
## 129 00:00:00 01-Dec-2015 32644.80 30922.37 31224.01 NA 1015.37
## 130 00:00:00 01-Nov-2015 33363.21 32000.83 32373.70 NA 1037.71
## 131 00:00:00 02-Oct-2015 34377.71 31839.75 33361.12 NA 1069.27
## 132 00:00:00 02-Sep-2015 33210.69 31240.77 31996.87 NA 1032.97
## 133 00:00:00 03-Aug-2015 33280.79 31516.68 32423.25 NA 1035.15
## 134 00:00:00 04-Jul-2015 34372.68 31573.08 32050.94 NA 1069.11
## 135 00:00:00 04-Jun-2015 34813.59 33354.70 33800.86 NA 1082.82
## 136 00:00:00 05-May-2015 35457.62 33387.31 33853.64 NA 1102.86
## 137 00:00:00 05-Apr-2015 36745.57 33431.02 34274.40 NA 1142.91
## 138 00:00:00 06-Mar-2015 36064.47 34252.98 35250.10 NA 1121.73
## 139 00:00:00 04-Feb-2015 36233.66 33767.72 34980.18 NA 1126.99
## 140 00:00:00 05-Jan-2015 37554.14 31814.75 35401.46 NA 1168.06
## 141 00:00:00 06-Dec-2014 32129.99 30526.63 31853.34 NA 999.35
## 142 00:00:00 06-Nov-2014 31705.35 29466.75 31199.68 NA 986.15
## 143 00:00:00 07-Oct-2014 31672.00 29318.20 29466.75 NA 985.11
## 144 00:00:00 07-Sep-2014 31604.17 30256.99 30683.06 NA 983.00
## 145 00:00:00 08-Aug-2014 31780.59 30839.90 31498.44 NA 988.49
## 146 00:00:00 09-Jul-2014 31773.49 30635.46 31562.01 NA 988.27
## 147 00:00:00 09-Jun-2014 31364.92 29494.58 31124.04 NA 975.56
## 148 00:00:00 10-May-2014 30746.99 29274.95 29545.86 NA 956.34
## 149 00:00:00 10-Apr-2014 30976.27 29519.60 30118.23 NA 963.47
## 150 00:00:00 11-Mar-2014 32191.43 29784.16 30432.22 NA 1001.27
## 151 00:00:00 09-Feb-2014 31676.40 29856.92 31060.49 NA 985.25
## 152 00:00:00 10-Jan-2014 30231.06 29010.40 29882.31 NA 940.29
## 153 00:00:00 11-Dec-2013 29494.65 27615.96 29042.17 NA 917.39
## 154 00:00:00 11-Nov-2013 31015.90 28618.22 29463.40 NA 964.70
## 155 00:00:00 12-Oct-2013 31887.01 29808.81 31015.90 NA 991.80
## 156 00:00:00 12-Sep-2013 32976.67 29942.45 30231.84 NA 1025.69
## 157 00:00:00 13-Aug-2013 34570.72 31916.32 32968.54 NA 1075.27
## 158 00:00:00 14-Jul-2013 32783.43 30796.31 32251.25 NA 1019.68
## 159 00:00:00 14-Jun-2013 33597.74 29139.82 31654.63 NA 1045.01
## 160 00:00:00 15-May-2013 35558.72 33087.24 33360.33 NA 1106.00
## 161 00:00:00 15-Apr-2013 36716.35 32583.29 35550.63 NA 1142.01
## 162 00:00:00 16-Mar-2013 40532.01 36279.21 36586.77 NA 1260.69
## 163 00:00:00 14-Feb-2013 39868.18 37693.50 39152.18 NA 1240.04
## 164 00:00:00 15-Jan-2013 40999.80 39145.83 39298.37 NA 1275.24
## 165 00:00:00 16-Dec-2012 41599.79 39785.48 40103.34 NA 1293.90
## 166 00:00:00 16-Nov-2012 43625.32 41391.66 41432.00 NA 1356.90
## 167 00:00:00 17-Oct-2012 43959.78 41934.57 43158.94 NA 1367.30
## 168 00:00:00 17-Sep-2012 44583.04 42860.70 42925.41 NA 1386.69
## 169 00:00:00 18-Aug-2012 44000.05 42018.70 43510.11 NA 1368.55
## 170 00:00:00 19-Jul-2012 42629.35 41173.64 42124.89 NA 1325.92
## 171 00:00:00 19-Jun-2012 41929.10 39859.67 41223.55 NA 1304.14
## 172 00:00:00 20-May-2012 42290.29 39254.77 41562.76 NA 1315.38
## 173 00:00:00 20-Apr-2012 40683.07 38704.42 40070.14 NA 1265.38
## 174 00:00:00 21-Mar-2012 41063.72 39502.19 40165.61 NA 1277.22
## 175 00:00:00 20-Feb-2012 43201.20 39997.13 40077.42 NA 1343.71
## 176 00:00:00 21-Jan-2012 43098.26 40965.54 42143.89 NA 1340.51
## 177 00:00:00 22-Dec-2011 42006.79 38041.52 41444.71 NA 1306.56
## 178 00:00:00 22-Nov-2011 42053.31 38657.03 39777.84 NA 1308.00
## 179 00:00:00 23-Oct-2011 42489.04 37976.31 40029.17 NA 1321.56
## 180 00:00:00 23-Sep-2011 41725.73 36934.86 37989.54 NA 1297.82
## 181 00:00:00 24-Aug-2011 44204.02 37975.43 41473.85 NA 1374.90
## 182 00:00:00 25-Jul-2011 42793.93 35681.29 40921.80 NA 1331.04
## 183 00:00:00 25-Jun-2011 36808.84 32837.10 36176.57 NA 1144.88
## 184 00:00:00 26-May-2011 34948.50 33655.38 34034.11 NA 1087.02
## 185 00:00:00 26-Apr-2011 34994.82 32381.32 34883.16 NA 1088.46
## 186 00:00:00 27-Mar-2011 33829.60 32149.78 33295.92 NA 1052.22
## 187 00:00:00 25-Feb-2011 33504.35 32003.50 32636.80 NA 1042.10
## 188 00:00:00 26-Jan-2011 33339.46 30680.15 32662.00 NA 1036.97
## 189 00:00:00 27-Dec-2010 34586.35 31207.70 31309.87 NA 1075.76
## 190 00:00:00 27-Nov-2010 34487.45 32929.57 33781.44 NA 1072.68
## 191 00:00:00 28-Oct-2010 33288.85 30436.69 33123.69 NA 1035.40
## 192 00:00:00 28-Sep-2010 31676.79 30394.27 30959.54 NA 985.26
## 193 00:00:00 29-Aug-2010 31997.20 30857.90 30949.10 NA 995.22
## 194 00:00:00 30-Jul-2010 31575.99 28688.83 31198.68 NA 982.12
## 195 00:00:00 30-Jun-2010 32855.89 28500.83 28740.61 NA 1021.93
## 196 00:00:00 31-May-2010 33802.64 31575.71 32742.56 NA 1051.38
## 197 00:00:00 01-May-2010 32595.42 28382.44 31684.25 NA 1013.83
## 198 00:00:00 01-Apr-2010 28759.50 26444.08 28525.91 NA 894.52
## 199 00:00:00 02-Mar-2010 26959.51 25703.48 26461.06 NA 838.53
## 200 00:00:00 31-Jan-2010 26711.83 24720.10 26515.75 NA 830.83
## 201 00:00:00 01-Jan-2010 25785.21 24591.01 25073.17 NA 802.01
## 202 00:00:00 02-Dec-2009 26133.62 24300.08 24628.32 NA 812.85
## 203 00:00:00 02-Nov-2009 25603.67 22734.67 25497.12 NA 796.36
## 204 00:00:00 03-Oct-2009 23169.99 22055.67 22800.45 NA 720.67
## 205 00:00:00 03-Sep-2009 22480.26 21636.59 22114.69 NA 699.21
## 206 00:00:00 04-Aug-2009 22100.22 21137.81 22003.86 NA 687.39
## 207 00:00:00 05-Jul-2009 21623.96 20886.92 21333.01 NA 672.58
## 208 00:00:00 05-Jun-2009 22222.77 21056.40 21445.10 NA 691.21
## 209 00:00:00 06-May-2009 22419.15 21508.02 22199.46 NA 697.31
## 210 00:00:00 06-Apr-2009 22443.59 20709.78 21692.85 NA 698.07
## 211 00:00:00 07-Mar-2009 24071.20 21161.10 21194.97 NA 748.70
## 212 00:00:00 05-Feb-2009 25517.62 21941.85 23860.68 NA 793.69
## 213 00:00:00 06-Jan-2009 23395.70 19592.47 22651.19 NA 727.69
## 214 00:00:00 07-Dec-2008 20432.25 18962.13 20201.05 NA 635.51
## 215 00:00:00 07-Nov-2008 20816.35 18074.03 19121.92 NA 647.46
## 216 00:00:00 08-Oct-2008 22032.01 17504.96 18561.59 NA 685.27
## 217 00:00:00 08-Sep-2008 21112.11 17020.67 21063.20 NA 656.66
## 218 00:00:00 09-Aug-2008 18548.44 16938.27 18201.54 NA 576.92
## 219 00:00:00 10-Jul-2008 19894.41 18151.81 18350.64 NA 618.79
## 220 00:00:00 10-Jun-2008 19265.59 17916.48 18982.74 NA 599.23
## 221 00:00:00 11-May-2008 19056.28 17904.83 18358.51 NA 592.72
## 222 00:00:00 11-Apr-2008 19200.61 17514.21 18380.03 NA 597.21
## 223 00:00:00 12-Mar-2008 20973.85 18049.04 18942.42 NA 652.36
## 224 00:00:00 11-Feb-2008 21129.29 19436.32 20384.98 NA 657.19
## 225 00:00:00 12-Jan-2008 20458.29 18983.57 20374.68 NA 636.32
## 226 00:00:00 13-Dec-2007 19520.43 17484.44 19491.13 NA 607.15
## 227 00:00:00 13-Nov-2007 18107.99 16962.21 17742.17 NA 563.22
## 228 00:00:00 14-Oct-2007 18524.30 16935.64 17522.68 NA 576.17
## 229 00:00:00 14-Sep-2007 17038.99 16312.04 17012.63 NA 529.97
## 230 00:00:00 15-Aug-2007 16631.51 15443.29 16381.17 NA 517.30
## 231 00:00:00 16-Jul-2007 15962.05 15442.64 15919.96 NA 496.48
## 232 00:00:00 16-Jun-2007 15879.80 15300.67 15568.10 NA 493.92
## 233 00:00:00 17-May-2007 16078.19 15527.22 15747.95 NA 500.09
## 234 00:00:00 17-Apr-2007 16430.03 15715.38 15756.99 NA 511.03
## 235 00:00:00 18-Mar-2007 16417.02 15727.52 16407.21 NA 510.63
## 236 00:00:00 16-Feb-2007 16798.55 15483.66 15807.01 NA 522.49
## 237 00:00:00 17-Jan-2007 16582.75 15448.85 16360.02 NA 515.78
## 238 00:00:00 18-Dec-2006 15665.94 14930.24 15542.15 NA 487.27
## 239 00:00:00 18-Nov-2006 15766.95 15092.97 15144.31 NA 490.41
## 240 00:00:00 19-Oct-2006 15932.18 14714.19 15565.58 NA 495.55
## Low..troy.oz. Close..troy.oz. X.1
## 1 3614.20 3628.60 NA
## 2 3742.35 3757.27 NA
## 3 3853.41 3999.83 NA
## 4 3555.88 4037.00 NA
## 5 3955.51 4452.00 NA
## 6 3717.15 3994.31 NA
## 7 3582.31 3844.60 NA
## 8 3448.38 3609.44 NA
## 9 3337.07 3458.28 NA
## 10 3077.28 3450.64 NA
## 11 2839.31 3088.82 NA
## 12 2822.51 2919.49 NA
## 13 2771.31 2840.59 NA
## 14 2789.57 2909.59 NA
## 15 2810.68 2927.73 NA
## 16 2696.86 2848.25 NA
## 17 2656.28 2699.12 NA
## 18 2590.30 2832.46 NA
## 19 2489.38 2625.64 NA
## 20 2411.92 2559.41 NA
## 21 2420.68 2448.02 NA
## 22 2294.89 2424.47 NA
## 23 2221.45 2328.13 NA
## 24 2155.75 2224.50 NA
## 25 2147.62 2222.91 NA
## 26 2116.99 2179.11 NA
## 27 2114.21 2188.10 NA
## 28 1970.87 2243.20 NA
## 29 1863.72 1981.58 NA
## 30 1841.70 1868.24 NA
## 31 1838.38 1846.27 NA
## 32 1799.38 1856.33 NA
## 33 1803.46 1814.62 NA
## 34 1722.10 1867.64 NA
## 35 1731.64 1808.26 NA
## 36 1734.70 1737.84 NA
## 37 1733.96 1763.19 NA
## 38 1758.51 1759.46 NA
## 39 1792.15 1822.17 NA
## 40 1799.16 1805.41 NA
## 41 1701.97 1838.03 NA
## 42 1709.42 1723.37 NA
## 43 1690.46 1774.00 NA
## 44 1660.44 1694.00 NA
## 45 1647.35 1682.11 NA
## 46 1656.01 1671.16 NA
## 47 1660.92 1696.42 NA
## 48 1688.90 1761.65 NA
## 49 1645.46 1696.24 NA
## 50 1705.38 1733.06 NA
## 51 1716.73 1727.07 NA
## 52 1699.23 1786.66 NA
## 53 1677.21 1750.67 NA
## 54 1567.78 1677.21 NA
## 55 1575.79 1612.66 NA
## 56 1555.33 1596.99 NA
## 57 1520.33 1589.99 NA
## 58 1488.60 1543.09 NA
## 59 1480.32 1490.30 NA
## 60 1436.83 1534.86 NA
## 61 1498.51 1528.15 NA
## 62 1472.99 1498.98 NA
## 63 1469.91 1554.27 NA
## 64 1447.92 1470.94 NA
## 65 1411.64 1472.98 NA
## 66 1411.74 1419.78 NA
## 67 1492.14 1539.23 NA
## 68 1497.51 1554.30 NA
## 69 1473.06 1515.12 NA
## 70 1590.04 1627.67 NA
## 71 1586.56 1623.84 NA
## 72 1592.34 1633.38 NA
## 73 1572.68 1715.37 NA
## 74 1484.67 1578.68 NA
## 75 1477.49 1492.60 NA
## 76 1510.15 1581.96 NA
## 77 1301.64 1513.25 NA
## 78 1422.82 1492.82 NA
## 79 1379.30 1434.27 NA
## 80 1307.47 1401.93 NA
## 81 1312.47 1320.67 NA
## 82 1320.19 1324.23 NA
## 83 1340.12 1356.96 NA
## 84 1324.92 1345.82 NA
## 85 1248.67 1339.50 NA
## 86 1180.13 1256.08 NA
## 87 1138.70 1180.95 NA
## 88 1125.02 1158.93 NA
## 89 1140.58 1142.10 NA
## 90 1132.60 1146.37 NA
## 91 1123.01 1156.11 NA
## 92 1090.85 1124.03 NA
## 93 1066.46 1095.53 NA
## 94 1056.65 1070.56 NA
## 95 1012.09 1059.24 NA
## 96 1025.21 1027.00 NA
## 97 1023.73 1033.51 NA
## 98 1049.48 1053.13 NA
## 99 1092.02 1105.06 NA
## 100 1081.66 1098.74 NA
## 101 1064.53 1091.15 NA
## 102 1064.88 1067.68 NA
## 103 1067.09 1085.93 NA
## 104 1063.09 1085.44 NA
## 105 1053.05 1066.03 NA
## 106 1078.74 1102.38 NA
## 107 1077.47 1086.82 NA
## 108 1079.41 1093.85 NA
## 109 1063.07 1093.64 NA
## 110 1056.89 1076.13 NA
## 111 1114.14 1122.39 NA
## 112 1112.45 1119.12 NA
## 113 1147.50 1171.84 NA
## 114 1123.56 1151.71 NA
## 115 1105.37 1172.39 NA
## 116 1097.86 1131.60 NA
## 117 1078.39 1097.86 NA
## 118 1119.97 1123.38 NA
## 119 1112.99 1170.76 NA
## 120 1173.60 1191.03 NA
## 121 1168.09 1179.95 NA
## 122 1177.42 1210.62 NA
## 123 1080.37 1202.74 NA
## 124 1083.63 1091.55 NA
## 125 1065.10 1114.42 NA
## 126 1083.50 1097.69 NA
## 127 1023.68 1118.02 NA
## 128 970.68 1032.25 NA
## 129 961.79 971.18 NA
## 130 995.34 1006.93 NA
## 131 990.33 1037.65 NA
## 132 971.70 995.21 NA
## 133 980.28 1008.48 NA
## 134 982.03 996.90 NA
## 135 1037.45 1051.32 NA
## 136 1038.46 1052.97 NA
## 137 1039.82 1066.05 NA
## 138 1065.39 1096.40 NA
## 139 1050.29 1088.01 NA
## 140 989.55 1101.11 NA
## 141 949.48 990.75 NA
## 142 916.52 970.42 NA
## 143 911.90 916.52 NA
## 144 941.10 954.35 NA
## 145 959.23 979.71 NA
## 146 952.87 981.69 NA
## 147 917.38 968.07 NA
## 148 910.55 918.98 NA
## 149 918.16 936.78 NA
## 150 926.39 946.55 NA
## 151 928.65 966.09 NA
## 152 902.32 929.44 NA
## 153 858.95 903.31 NA
## 154 890.13 916.41 NA
## 155 927.16 964.70 NA
## 156 931.31 940.32 NA
## 157 992.71 1025.44 NA
## 158 957.87 1003.13 NA
## 159 906.35 984.57 NA
## 160 1029.13 1037.62 NA
## 161 1013.45 1105.75 NA
## 162 1128.41 1137.98 NA
## 163 1172.40 1217.77 NA
## 164 1217.57 1222.32 NA
## 165 1237.47 1247.35 NA
## 166 1287.42 1288.68 NA
## 167 1304.31 1342.39 NA
## 168 1333.12 1335.13 NA
## 169 1306.93 1353.32 NA
## 170 1280.64 1310.23 NA
## 171 1239.77 1282.20 NA
## 172 1220.96 1292.75 NA
## 173 1203.84 1246.32 NA
## 174 1228.66 1249.29 NA
## 175 1244.05 1246.55 NA
## 176 1274.17 1310.82 NA
## 177 1183.22 1289.07 NA
## 178 1202.37 1237.23 NA
## 179 1181.20 1245.05 NA
## 180 1148.80 1181.61 NA
## 181 1181.17 1289.98 NA
## 182 1109.81 1272.81 NA
## 183 1021.35 1125.22 NA
## 184 1046.80 1058.58 NA
## 185 1007.17 1084.99 NA
## 186 999.97 1035.62 NA
## 187 995.42 1015.12 NA
## 188 954.26 1015.90 NA
## 189 970.67 973.85 NA
## 190 1024.22 1050.72 NA
## 191 946.69 1030.26 NA
## 192 945.37 962.95 NA
## 193 959.79 962.62 NA
## 194 892.32 970.39 NA
## 195 886.47 893.93 NA
## 196 982.11 1018.41 NA
## 197 882.79 985.49 NA
## 198 822.50 887.25 NA
## 199 799.47 823.03 NA
## 200 768.88 824.73 NA
## 201 764.87 779.86 NA
## 202 755.82 766.03 NA
## 203 707.13 793.05 NA
## 204 686.01 709.17 NA
## 205 672.97 687.84 NA
## 206 657.46 684.40 NA
## 207 649.66 663.53 NA
## 208 654.93 667.02 NA
## 209 668.97 690.48 NA
## 210 644.15 674.72 NA
## 211 658.18 659.24 NA
## 212 682.47 742.15 NA
## 213 609.39 704.53 NA
## 214 589.79 628.32 NA
## 215 562.17 594.76 NA
## 216 544.47 577.33 NA
## 217 529.40 655.14 NA
## 218 526.84 566.13 NA
## 219 564.58 570.77 NA
## 220 557.26 590.43 NA
## 221 556.90 571.01 NA
## 222 544.75 571.68 NA
## 223 561.39 589.18 NA
## 224 604.54 634.04 NA
## 225 590.46 633.72 NA
## 226 543.83 606.24 NA
## 227 527.58 551.84 NA
## 228 526.76 545.02 NA
## 229 507.36 529.15 NA
## 230 480.34 509.51 NA
## 231 480.32 495.17 NA
## 232 475.90 484.22 NA
## 233 482.95 489.82 NA
## 234 488.80 490.10 NA
## 235 489.18 510.32 NA
## 236 481.60 491.65 NA
## 237 480.51 508.85 NA
## 238 464.38 483.41 NA
## 239 469.44 471.04 NA
## 240 457.66 484.14 NAcolnames(dnevni_raw) <- c("Datum","High_kg","Low_kg","Close_kg","NA1",
"High_oz","Low_oz","Close_oz","NA2")
colnames(mjesecni_raw) <- c("Datum","High_kg","Low_kg","Close_kg","NA1",
"High_oz","Low_oz","Close_oz","NA2")
dnevni <- dnevni_raw %>%
mutate(Datum = dmy(sub(".*? ", "", Datum)),
Cijena = Close_oz) %>%
filter(!is.na(Cijena)) %>%
arrange(Datum)
dnevni## Datum High_kg Low_kg Close_kg NA1 High_oz Low_oz Close_oz NA2
## 1 2026-05-11 130172.7 129159.1 130136.5 NA 4048.82 4017.30 4047.70 NA
## 2 2026-05-11 129308.1 128597.9 129217.1 NA 4021.93 3999.84 4019.10 NA
## 3 2026-05-11 129525.1 127534.8 129157.2 NA 4028.68 3966.78 4017.24 NA
## 4 2026-05-11 127736.1 127054.5 127706.4 NA 3973.04 3951.84 3972.11 NA
## 5 2026-05-12 129392.3 129053.0 129252.0 NA 4024.55 4014.00 4020.19 NA
## 6 2026-05-12 129126.7 127832.9 129126.7 NA 4016.29 3976.05 4016.29 NA
## 7 2026-05-12 128940.6 127206.5 127860.8 NA 4010.50 3956.57 3976.91 NA
## 8 2026-05-12 128906.2 128239.0 128854.8 NA 4009.43 3988.68 4007.83 NA
## 9 2026-05-12 129356.2 128336.1 128624.6 NA 4023.43 3991.70 4000.67 NA
## 10 2026-05-12 130310.1 129031.9 129089.6 NA 4053.10 4013.34 4015.14 NA
## 11 2026-05-13 129020.1 128657.3 128882.5 NA 4012.97 4001.69 4008.69 NA
## 12 2026-05-13 129230.4 128492.6 128729.4 NA 4019.52 3996.57 4003.93 NA
## 13 2026-05-13 129018.4 128240.3 128901.6 NA 4012.92 3988.72 4009.29 NA
## 14 2026-05-13 129346.0 128782.6 128968.9 NA 4023.11 4005.59 4011.38 NA
## 15 2026-05-13 129268.4 128601.1 129170.2 NA 4020.70 3999.94 4017.64 NA
## 16 2026-05-13 129471.6 128433.8 128665.9 NA 4027.02 3994.74 4001.96 NA
## 17 2026-05-14 128591.8 127987.7 128247.6 NA 3999.65 3980.86 3988.94 NA
## 18 2026-05-14 129043.2 128212.0 128228.4 NA 4013.69 3987.84 3988.35 NA
## 19 2026-05-14 129431.3 128400.9 129005.8 NA 4025.76 3993.72 4012.53 NA
## 20 2026-05-14 129256.1 128748.8 129053.8 NA 4020.31 4004.54 4014.02 NA
## 21 2026-05-14 129478.2 128218.6 128895.5 NA 4027.22 3988.04 4009.10 NA
## 22 2026-05-14 129149.8 128296.3 128335.6 NA 4017.01 3990.46 3991.68 NA
## 23 2026-05-15 125776.9 125427.0 125550.3 NA 3912.10 3901.22 3905.05 NA
## 24 2026-05-15 126202.8 125279.9 125760.7 NA 3925.35 3896.64 3911.59 NA
## 25 2026-05-15 126232.0 124811.2 125531.5 NA 3926.25 3882.06 3904.46 NA
## 26 2026-05-15 126309.8 125376.7 125834.5 NA 3928.67 3899.65 3913.89 NA
## 27 2026-05-15 127520.7 125938.0 126287.4 NA 3966.34 3917.11 3927.98 NA
## 28 2026-05-15 128399.5 127118.2 127358.2 NA 3993.67 3953.82 3961.28 NA
## 29 2026-05-16 125550.3 125550.3 125550.3 NA 3905.05 3905.05 3905.05 NA
## 30 2026-05-16 125550.3 125550.3 125550.3 NA 3905.05 3905.05 3905.05 NA
## 31 2026-05-16 125550.3 125550.3 125550.3 NA 3905.05 3905.05 3905.05 NA
## 32 2026-05-16 125550.3 125550.3 125550.3 NA 3905.05 3905.05 3905.05 NA
## 33 2026-05-16 125550.3 125550.3 125550.3 NA 3905.05 3905.05 3905.05 NA
## 34 2026-05-16 125550.3 125550.3 125550.3 NA 3905.05 3905.05 3905.05 NA
## 35 2026-05-17 125989.0 125296.1 125601.7 NA 3918.70 3897.14 3906.65 NA
## 36 2026-05-17 125550.3 125544.9 125544.9 NA 3905.05 3904.88 3904.88 NA
## 37 2026-05-17 125550.3 125550.3 125550.3 NA 3905.05 3905.05 3905.05 NA
## 38 2026-05-17 125550.3 125550.3 125550.3 NA 3905.05 3905.05 3905.05 NA
## 39 2026-05-17 125550.3 125550.3 125550.3 NA 3905.05 3905.05 3905.05 NA
## 40 2026-05-17 125550.3 125550.3 125550.3 NA 3905.05 3905.05 3905.05 NA
## 41 2026-05-18 126553.9 125741.3 126397.0 NA 3936.27 3910.99 3931.39 NA
## 42 2026-05-18 125902.9 125142.7 125772.1 NA 3916.02 3892.37 3911.95 NA
## 43 2026-05-18 126457.4 125251.6 125386.8 NA 3933.27 3895.76 3899.96 NA
## 44 2026-05-18 126042.9 125278.0 125670.9 NA 3920.37 3896.58 3908.80 NA
## 45 2026-05-18 125945.6 125328.7 125656.5 NA 3917.35 3898.16 3908.35 NA
## 46 2026-05-18 125798.6 124088.6 125634.1 NA 3912.77 3859.59 3907.66 NA
## 47 2026-05-19 124497.5 124020.8 124353.7 NA 3872.30 3857.48 3867.83 NA
## 48 2026-05-19 124991.1 124152.0 124194.9 NA 3887.66 3861.56 3862.89 NA
## 49 2026-05-19 125808.9 123739.0 124946.6 NA 3913.09 3848.71 3886.27 NA
## 50 2026-05-19 125964.2 125330.5 125378.7 NA 3917.92 3898.21 3899.71 NA
## 51 2026-05-19 125956.1 125222.9 125923.3 NA 3917.67 3894.87 3916.65 NA
## 52 2026-05-19 126607.1 125507.1 125520.7 NA 3937.92 3903.71 3904.13 NA
## 53 2026-05-20 125808.8 125410.1 125737.8 NA 3913.09 3900.69 3910.88 NA
## 54 2026-05-20 125748.0 125149.3 125696.1 NA 3911.20 3892.58 3909.59 NA
## 55 2026-05-20 125683.5 124003.7 125332.2 NA 3909.19 3856.95 3898.27 NA
## 56 2026-05-20 124715.8 124081.8 124686.3 NA 3879.10 3859.38 3878.18 NA
## 57 2026-05-20 124361.7 123550.8 124206.8 NA 3868.08 3842.86 3863.26 NA
## 58 2026-05-20 124893.6 123481.5 123698.0 NA 3884.62 3840.70 3847.44 NA
## 59 2026-05-21 125803.0 125454.3 125518.4 NA 3912.91 3902.06 3904.06 NA
## 60 2026-05-21 126041.0 125176.4 125692.0 NA 3920.31 3893.42 3909.46 NA
## 61 2026-05-21 125291.5 124628.2 125176.4 NA 3897.00 3876.37 3893.42 NA
## 62 2026-05-21 125577.8 124882.4 125124.3 NA 3905.90 3884.28 3891.80 NA
## 63 2026-05-21 125611.2 125038.4 125190.2 NA 3906.94 3889.13 3893.85 NA
## 64 2026-05-21 126307.2 125283.3 125292.2 NA 3928.59 3896.75 3897.02 NA
## 65 2026-05-22 124974.6 124813.7 124942.5 NA 3887.14 3882.14 3886.15 NA
## 66 2026-05-22 125344.8 124773.2 124888.9 NA 3898.66 3880.88 3884.48 NA
## 67 2026-05-22 125633.8 124584.7 125254.6 NA 3907.65 3875.02 3895.85 NA
## 68 2026-05-22 125668.5 125053.3 125335.5 NA 3908.73 3889.59 3898.37 NA
## 69 2026-05-22 125514.8 124854.1 125238.7 NA 3903.95 3883.40 3895.36 NA
## 70 2026-05-22 125716.9 125136.7 125409.5 NA 3910.23 3892.19 3900.67 NA
## 71 2026-05-23 124942.5 124942.5 124942.5 NA 3886.15 3886.15 3886.15 NA
## 72 2026-05-23 124942.5 124942.5 124942.5 NA 3886.15 3886.15 3886.15 NA
## 73 2026-05-23 124942.5 124942.5 124942.5 NA 3886.15 3886.15 3886.15 NA
## 74 2026-05-23 124942.5 124942.5 124942.5 NA 3886.15 3886.15 3886.15 NA
## 75 2026-05-23 124942.5 124942.5 124942.5 NA 3886.15 3886.15 3886.15 NA
## 76 2026-05-23 124942.5 124942.5 124942.5 NA 3886.15 3886.15 3886.15 NA
## 77 2026-05-24 126430.8 124953.3 126116.2 NA 3932.44 3886.48 3922.65 NA
## 78 2026-05-24 124953.3 124942.5 124953.3 NA 3886.48 3886.15 3886.48 NA
## 79 2026-05-24 124942.5 124942.5 124942.5 NA 3886.15 3886.15 3886.15 NA
## 80 2026-05-24 124942.5 124942.5 124942.5 NA 3886.15 3886.15 3886.15 NA
## 81 2026-05-24 124942.5 124942.5 124942.5 NA 3886.15 3886.15 3886.15 NA
## 82 2026-05-24 124942.5 124942.5 124942.5 NA 3886.15 3886.15 3886.15 NA
## 83 2026-05-25 126471.3 125837.2 125986.1 NA 3933.70 3913.98 3918.61 NA
## 84 2026-05-25 126390.8 126025.7 126195.3 NA 3931.19 3919.84 3925.11 NA
## 85 2026-05-25 126268.8 125714.2 126234.8 NA 3927.40 3910.15 3926.34 NA
## 86 2026-05-25 126342.0 125753.3 126182.0 NA 3929.68 3911.36 3924.70 NA
## 87 2026-05-25 126140.5 125714.0 126110.8 NA 3923.41 3910.14 3922.49 NA
## 88 2026-05-25 126384.4 125912.0 125975.6 NA 3931.00 3916.30 3918.28 NA
## 89 2026-05-26 125461.3 124329.2 124874.1 NA 3902.28 3867.07 3884.02 NA
## 90 2026-05-26 124731.7 124005.2 124618.9 NA 3879.59 3856.99 3876.08 NA
## 91 2026-05-26 125236.1 124387.6 124702.5 NA 3895.28 3868.89 3878.68 NA
## 92 2026-05-26 125400.2 124471.1 124542.2 NA 3900.38 3871.48 3873.70 NA
## 93 2026-05-26 125529.6 124969.0 125389.8 NA 3904.41 3886.97 3900.06 NA
## 94 2026-05-26 125986.1 125185.9 125512.0 NA 3918.61 3893.72 3903.86 NA
## 95 2026-05-27 123454.0 123013.6 123074.5 NA 3839.85 3826.15 3828.04 NA
## 96 2026-05-27 123319.7 122634.8 123057.0 NA 3835.67 3814.37 3827.50 NA
## 97 2026-05-27 123140.3 121582.6 122639.3 NA 3830.09 3781.64 3814.51 NA
## 98 2026-05-27 124219.2 122279.9 122327.9 NA 3863.65 3803.33 3804.82 NA
## 99 2026-05-27 124747.0 123598.8 123796.4 NA 3880.06 3844.35 3850.50 NA
## 100 2026-05-27 125017.7 124229.1 124229.1 NA 3888.49 3863.96 3863.96 NA
## 101 2026-05-28 124227.4 123875.2 124029.9 NA 3863.91 3852.95 3857.76 NA
## 102 2026-05-28 124585.4 123631.1 124162.0 NA 3875.04 3845.36 3861.87 NA
## 103 2026-05-28 123716.4 121182.7 123716.4 NA 3848.01 3769.20 3848.01 NA
## 104 2026-05-28 121917.2 121249.8 121430.0 NA 3792.05 3771.29 3776.90 NA
## 105 2026-05-28 121811.7 121152.3 121501.0 NA 3788.77 3768.26 3779.10 NA
## 106 2026-05-28 123331.8 121217.2 121391.0 NA 3836.05 3770.28 3775.68 NA
## 107 2026-05-29 125400.9 125144.2 125208.8 NA 3900.40 3892.42 3894.43 NA
## 108 2026-05-29 125947.6 125215.1 125282.5 NA 3917.41 3894.63 3896.72 NA
## 109 2026-05-29 126507.6 124595.3 125852.9 NA 3934.83 3875.35 3914.46 NA
## 110 2026-05-29 125434.4 124685.3 125267.3 NA 3901.45 3878.15 3896.25 NA
## 111 2026-05-29 124983.9 124363.1 124957.1 NA 3887.43 3868.12 3886.60 NA
## 112 2026-05-29 124670.0 123942.3 124363.2 NA 3877.67 3855.04 3868.13 NA
## 113 2026-05-30 125196.3 125196.3 125196.3 NA 3894.04 3894.04 3894.04 NA
## 114 2026-05-30 125196.3 125196.3 125196.3 NA 3894.04 3894.04 3894.04 NA
## 115 2026-05-30 125196.3 125196.3 125196.3 NA 3894.04 3894.04 3894.04 NA
## 116 2026-05-30 125208.8 125196.3 125196.3 NA 3894.43 3894.04 3894.04 NA
## 117 2026-05-30 125208.8 125208.8 125208.8 NA 3894.43 3894.43 3894.43 NA
## 118 2026-05-30 125208.8 125208.8 125208.8 NA 3894.43 3894.43 3894.43 NA
## 119 2026-05-31 125424.4 124692.0 125317.0 NA 3901.14 3878.35 3897.79 NA
## 120 2026-05-31 125255.3 125196.3 125255.3 NA 3895.88 3894.04 3895.88 NA
## 121 2026-05-31 125196.3 125196.3 125196.3 NA 3894.04 3894.04 3894.04 NA
## 122 2026-05-31 125196.3 125196.3 125196.3 NA 3894.04 3894.04 3894.04 NA
## 123 2026-05-31 125196.3 125196.3 125196.3 NA 3894.04 3894.04 3894.04 NA
## 124 2026-05-31 125196.3 125196.3 125196.3 NA 3894.04 3894.04 3894.04 NA
## 125 2026-06-01 124025.4 123778.7 123923.3 NA 3857.62 3849.95 3854.44 NA
## 126 2026-06-01 124200.7 123536.3 123845.1 NA 3863.07 3842.41 3852.01 NA
## 127 2026-06-01 124496.5 123191.9 123766.4 NA 3872.27 3831.70 3849.57 NA
## 128 2026-06-01 124591.1 123870.9 124403.6 NA 3875.22 3852.82 3869.38 NA
## 129 2026-06-01 124850.2 123908.7 124193.5 NA 3883.28 3853.99 3862.85 NA
## 130 2026-06-01 125444.3 124543.9 124700.8 NA 3901.75 3873.75 3878.63 NA
## 131 2026-06-02 124212.3 123451.1 123785.1 NA 3863.43 3839.76 3850.15 NA
## 132 2026-06-02 124399.1 123875.0 124039.3 NA 3869.24 3852.94 3858.05 NA
## 133 2026-06-02 125096.7 124053.1 124347.3 NA 3890.94 3858.48 3867.63 NA
## 134 2026-06-02 125262.0 124876.4 124948.4 NA 3896.08 3884.09 3886.33 NA
## 135 2026-06-02 125348.8 124302.4 125179.5 NA 3898.78 3866.24 3893.52 NA
## 136 2026-06-02 124339.5 123402.8 124337.5 NA 3867.39 3838.25 3867.33 NA
## 137 2026-06-03 123640.1 122682.9 123429.9 NA 3845.64 3815.86 3839.10 NA
## 138 2026-06-03 123401.5 122918.9 123198.2 NA 3838.22 3823.21 3831.89 NA
## 139 2026-06-03 123816.4 122665.4 123069.9 NA 3851.12 3815.32 3827.90 NA
## 140 2026-06-03 123641.8 122933.3 123501.7 NA 3845.69 3823.65 3841.33 NA
## 141 2026-06-03 124103.1 123251.8 123267.0 NA 3860.04 3833.56 3834.03 NA
## 142 2026-06-03 124299.6 123417.0 123997.8 NA 3866.15 3838.70 3856.76 NA
## 143 2026-06-04 124080.1 123523.2 123534.6 NA 3859.32 3842.00 3842.36 NA
## 144 2026-06-04 124099.9 123750.7 124055.2 NA 3859.94 3849.08 3858.55 NA
## 145 2026-06-04 124711.5 123235.7 123788.3 NA 3878.96 3833.06 3850.25 NA
## 146 2026-06-04 124662.9 123448.1 124633.2 NA 3877.45 3839.67 3876.53 NA
## 147 2026-06-04 124161.9 123562.8 123620.1 NA 3861.87 3843.23 3845.01 NA
## 148 2026-06-04 124001.8 123083.1 123656.5 NA 3856.89 3828.31 3846.15 NA
## 149 2026-06-05 120842.2 120319.5 120799.1 NA 3758.61 3742.35 3757.27 NA
## 150 2026-06-05 121255.2 120398.7 120462.2 NA 3771.46 3744.82 3746.79 NA
## 151 2026-06-05 123607.7 120840.1 120867.2 NA 3844.63 3758.55 3759.39 NA
## 152 2026-06-05 123603.5 123177.1 123464.3 NA 3844.50 3831.24 3840.17 NA
## 153 2026-06-05 123489.7 122614.9 123301.8 NA 3840.96 3813.75 3835.11 NA
## 154 2026-06-05 123733.2 122787.6 122970.1 NA 3848.53 3819.12 3824.80 NA
## 155 2026-06-06 120800.8 120800.8 120800.8 NA 3757.33 3757.33 3757.33 NA
## 156 2026-06-06 120800.8 120800.8 120800.8 NA 3757.33 3757.33 3757.33 NA
## 157 2026-06-06 120800.8 120800.8 120800.8 NA 3757.33 3757.33 3757.33 NA
## 158 2026-06-06 120800.8 120799.1 120800.8 NA 3757.33 3757.27 3757.33 NA
## 159 2026-06-06 120799.1 120799.1 120799.1 NA 3757.27 3757.27 3757.27 NA
## 160 2026-06-06 120799.1 120799.1 120799.1 NA 3757.27 3757.27 3757.27 NA
## 161 2026-06-07 121291.7 120402.2 121217.8 NA 3772.59 3744.93 3770.30 NA
## 162 2026-06-07 120800.8 120773.3 120773.3 NA 3757.33 3756.47 3756.47 NA
## 163 2026-06-07 120800.8 120800.8 120800.8 NA 3757.33 3757.33 3757.33 NA
## 164 2026-06-07 120800.8 120800.8 120800.8 NA 3757.33 3757.33 3757.33 NA
## 165 2026-06-07 120800.8 120800.8 120800.8 NA 3757.33 3757.33 3757.33 NA
## 166 2026-06-07 120800.8 120800.8 120800.8 NA 3757.33 3757.33 3757.33 NA
## 167 2026-06-08 120756.5 120278.8 120404.0 NA 3755.95 3741.09 3744.98 NA
## 168 2026-06-08 121071.3 120559.9 120647.7 NA 3765.74 3749.83 3752.56 NA
## 169 2026-06-08 120996.4 120275.5 120918.7 NA 3763.41 3740.99 3760.99 NA
## 170 2026-06-08 120725.3 119462.2 120725.3 NA 3754.98 3715.69 3754.98 NA
## 171 2026-06-08 120481.8 119123.8 119888.7 NA 3747.40 3705.16 3728.96 NA
## 172 2026-06-08 121458.0 120045.8 120336.2 NA 3777.77 3733.84 3742.87 NA
## 173 2026-06-09 118703.6 117366.8 117687.3 NA 3692.10 3650.51 3660.48 NA
## 174 2026-06-09 119091.9 118150.0 118644.3 NA 3704.17 3674.88 3690.25 NA
## 175 2026-06-09 121119.8 118666.0 118888.4 NA 3767.25 3690.92 3697.84 NA
## 176 2026-06-09 120781.7 120307.1 120568.7 NA 3756.73 3741.97 3750.10 NA
## 177 2026-06-09 121166.1 120422.3 120550.7 NA 3768.69 3745.55 3749.55 NA
## 178 2026-06-09 120982.8 120333.6 120840.9 NA 3762.99 3742.79 3758.57 NA
## 179 2026-06-10 117457.0 116199.2 116611.2 NA 3653.32 3614.20 3627.01 NA
## 180 2026-06-10 117779.9 116224.4 116486.8 NA 3663.36 3614.98 3623.14 NA
## Cijena
## 1 4047.70
## 2 4019.10
## 3 4017.24
## 4 3972.11
## 5 4020.19
## 6 4016.29
## 7 3976.91
## 8 4007.83
## 9 4000.67
## 10 4015.14
## 11 4008.69
## 12 4003.93
## 13 4009.29
## 14 4011.38
## 15 4017.64
## 16 4001.96
## 17 3988.94
## 18 3988.35
## 19 4012.53
## 20 4014.02
## 21 4009.10
## 22 3991.68
## 23 3905.05
## 24 3911.59
## 25 3904.46
## 26 3913.89
## 27 3927.98
## 28 3961.28
## 29 3905.05
## 30 3905.05
## 31 3905.05
## 32 3905.05
## 33 3905.05
## 34 3905.05
## 35 3906.65
## 36 3904.88
## 37 3905.05
## 38 3905.05
## 39 3905.05
## 40 3905.05
## 41 3931.39
## 42 3911.95
## 43 3899.96
## 44 3908.80
## 45 3908.35
## 46 3907.66
## 47 3867.83
## 48 3862.89
## 49 3886.27
## 50 3899.71
## 51 3916.65
## 52 3904.13
## 53 3910.88
## 54 3909.59
## 55 3898.27
## 56 3878.18
## 57 3863.26
## 58 3847.44
## 59 3904.06
## 60 3909.46
## 61 3893.42
## 62 3891.80
## 63 3893.85
## 64 3897.02
## 65 3886.15
## 66 3884.48
## 67 3895.85
## 68 3898.37
## 69 3895.36
## 70 3900.67
## 71 3886.15
## 72 3886.15
## 73 3886.15
## 74 3886.15
## 75 3886.15
## 76 3886.15
## 77 3922.65
## 78 3886.48
## 79 3886.15
## 80 3886.15
## 81 3886.15
## 82 3886.15
## 83 3918.61
## 84 3925.11
## 85 3926.34
## 86 3924.70
## 87 3922.49
## 88 3918.28
## 89 3884.02
## 90 3876.08
## 91 3878.68
## 92 3873.70
## 93 3900.06
## 94 3903.86
## 95 3828.04
## 96 3827.50
## 97 3814.51
## 98 3804.82
## 99 3850.50
## 100 3863.96
## 101 3857.76
## 102 3861.87
## 103 3848.01
## 104 3776.90
## 105 3779.10
## 106 3775.68
## 107 3894.43
## 108 3896.72
## 109 3914.46
## 110 3896.25
## 111 3886.60
## 112 3868.13
## 113 3894.04
## 114 3894.04
## 115 3894.04
## 116 3894.04
## 117 3894.43
## 118 3894.43
## 119 3897.79
## 120 3895.88
## 121 3894.04
## 122 3894.04
## 123 3894.04
## 124 3894.04
## 125 3854.44
## 126 3852.01
## 127 3849.57
## 128 3869.38
## 129 3862.85
## 130 3878.63
## 131 3850.15
## 132 3858.05
## 133 3867.63
## 134 3886.33
## 135 3893.52
## 136 3867.33
## 137 3839.10
## 138 3831.89
## 139 3827.90
## 140 3841.33
## 141 3834.03
## 142 3856.76
## 143 3842.36
## 144 3858.55
## 145 3850.25
## 146 3876.53
## 147 3845.01
## 148 3846.15
## 149 3757.27
## 150 3746.79
## 151 3759.39
## 152 3840.17
## 153 3835.11
## 154 3824.80
## 155 3757.33
## 156 3757.33
## 157 3757.33
## 158 3757.33
## 159 3757.27
## 160 3757.27
## 161 3770.30
## 162 3756.47
## 163 3757.33
## 164 3757.33
## 165 3757.33
## 166 3757.33
## 167 3744.98
## 168 3752.56
## 169 3760.99
## 170 3754.98
## 171 3728.96
## 172 3742.87
## 173 3660.48
## 174 3690.25
## 175 3697.84
## 176 3750.10
## 177 3749.55
## 178 3758.57
## 179 3627.01
## 180 3623.14mjesecni <- mjesecni_raw %>%
mutate(Datum = dmy(sub(".*? ", "", Datum)),
Cijena = Close_oz) %>%
filter(!is.na(Cijena)) %>%
arrange(Datum)
mjesecni## Datum High_kg Low_kg Close_kg NA1 High_oz Low_oz Close_oz NA2
## 1 2006-10-19 15932.18 14714.19 15565.58 NA 495.55 457.66 484.14 NA
## 2 2006-11-18 15766.95 15092.97 15144.31 NA 490.41 469.44 471.04 NA
## 3 2006-12-18 15665.94 14930.24 15542.15 NA 487.27 464.38 483.41 NA
## 4 2007-01-17 16582.75 15448.85 16360.02 NA 515.78 480.51 508.85 NA
## 5 2007-02-16 16798.55 15483.66 15807.01 NA 522.49 481.60 491.65 NA
## 6 2007-03-18 16417.02 15727.52 16407.21 NA 510.63 489.18 510.32 NA
## 7 2007-04-17 16430.03 15715.38 15756.99 NA 511.03 488.80 490.10 NA
## 8 2007-05-17 16078.19 15527.22 15747.95 NA 500.09 482.95 489.82 NA
## 9 2007-06-16 15879.80 15300.67 15568.10 NA 493.92 475.90 484.22 NA
## 10 2007-07-16 15962.05 15442.64 15919.96 NA 496.48 480.32 495.17 NA
## 11 2007-08-15 16631.51 15443.29 16381.17 NA 517.30 480.34 509.51 NA
## 12 2007-09-14 17038.99 16312.04 17012.63 NA 529.97 507.36 529.15 NA
## 13 2007-10-14 18524.30 16935.64 17522.68 NA 576.17 526.76 545.02 NA
## 14 2007-11-13 18107.99 16962.21 17742.17 NA 563.22 527.58 551.84 NA
## 15 2007-12-13 19520.43 17484.44 19491.13 NA 607.15 543.83 606.24 NA
## 16 2008-01-12 20458.29 18983.57 20374.68 NA 636.32 590.46 633.72 NA
## 17 2008-02-11 21129.29 19436.32 20384.98 NA 657.19 604.54 634.04 NA
## 18 2008-03-12 20973.85 18049.04 18942.42 NA 652.36 561.39 589.18 NA
## 19 2008-04-11 19200.61 17514.21 18380.03 NA 597.21 544.75 571.68 NA
## 20 2008-05-11 19056.28 17904.83 18358.51 NA 592.72 556.90 571.01 NA
## 21 2008-06-10 19265.59 17916.48 18982.74 NA 599.23 557.26 590.43 NA
## 22 2008-07-10 19894.41 18151.81 18350.64 NA 618.79 564.58 570.77 NA
## 23 2008-08-09 18548.44 16938.27 18201.54 NA 576.92 526.84 566.13 NA
## 24 2008-09-08 21112.11 17020.67 21063.20 NA 656.66 529.40 655.14 NA
## 25 2008-10-08 22032.01 17504.96 18561.59 NA 685.27 544.47 577.33 NA
## 26 2008-11-07 20816.35 18074.03 19121.92 NA 647.46 562.17 594.76 NA
## 27 2008-12-07 20432.25 18962.13 20201.05 NA 635.51 589.79 628.32 NA
## 28 2009-01-06 23395.70 19592.47 22651.19 NA 727.69 609.39 704.53 NA
## 29 2009-02-05 25517.62 21941.85 23860.68 NA 793.69 682.47 742.15 NA
## 30 2009-03-07 24071.20 21161.10 21194.97 NA 748.70 658.18 659.24 NA
## 31 2009-04-06 22443.59 20709.78 21692.85 NA 698.07 644.15 674.72 NA
## 32 2009-05-06 22419.15 21508.02 22199.46 NA 697.31 668.97 690.48 NA
## 33 2009-06-05 22222.77 21056.40 21445.10 NA 691.21 654.93 667.02 NA
## 34 2009-07-05 21623.96 20886.92 21333.01 NA 672.58 649.66 663.53 NA
## 35 2009-08-04 22100.22 21137.81 22003.86 NA 687.39 657.46 684.40 NA
## 36 2009-09-03 22480.26 21636.59 22114.69 NA 699.21 672.97 687.84 NA
## 37 2009-10-03 23169.99 22055.67 22800.45 NA 720.67 686.01 709.17 NA
## 38 2009-11-02 25603.67 22734.67 25497.12 NA 796.36 707.13 793.05 NA
## 39 2009-12-02 26133.62 24300.08 24628.32 NA 812.85 755.82 766.03 NA
## 40 2010-01-01 25785.21 24591.01 25073.17 NA 802.01 764.87 779.86 NA
## 41 2010-01-31 26711.83 24720.10 26515.75 NA 830.83 768.88 824.73 NA
## 42 2010-03-02 26959.51 25703.48 26461.06 NA 838.53 799.47 823.03 NA
## 43 2010-04-01 28759.50 26444.08 28525.91 NA 894.52 822.50 887.25 NA
## 44 2010-05-01 32595.42 28382.44 31684.25 NA 1013.83 882.79 985.49 NA
## 45 2010-05-31 33802.64 31575.71 32742.56 NA 1051.38 982.11 1018.41 NA
## 46 2010-06-30 32855.89 28500.83 28740.61 NA 1021.93 886.47 893.93 NA
## 47 2010-07-30 31575.99 28688.83 31198.68 NA 982.12 892.32 970.39 NA
## 48 2010-08-29 31997.20 30857.90 30949.10 NA 995.22 959.79 962.62 NA
## 49 2010-09-28 31676.79 30394.27 30959.54 NA 985.26 945.37 962.95 NA
## 50 2010-10-28 33288.85 30436.69 33123.69 NA 1035.40 946.69 1030.26 NA
## 51 2010-11-27 34487.45 32929.57 33781.44 NA 1072.68 1024.22 1050.72 NA
## 52 2010-12-27 34586.35 31207.70 31309.87 NA 1075.76 970.67 973.85 NA
## 53 2011-01-26 33339.46 30680.15 32662.00 NA 1036.97 954.26 1015.90 NA
## 54 2011-02-25 33504.35 32003.50 32636.80 NA 1042.10 995.42 1015.12 NA
## 55 2011-03-27 33829.60 32149.78 33295.92 NA 1052.22 999.97 1035.62 NA
## 56 2011-04-26 34994.82 32381.32 34883.16 NA 1088.46 1007.17 1084.99 NA
## 57 2011-05-26 34948.50 33655.38 34034.11 NA 1087.02 1046.80 1058.58 NA
## 58 2011-06-25 36808.84 32837.10 36176.57 NA 1144.88 1021.35 1125.22 NA
## 59 2011-07-25 42793.93 35681.29 40921.80 NA 1331.04 1109.81 1272.81 NA
## 60 2011-08-24 44204.02 37975.43 41473.85 NA 1374.90 1181.17 1289.98 NA
## 61 2011-09-23 41725.73 36934.86 37989.54 NA 1297.82 1148.80 1181.61 NA
## 62 2011-10-23 42489.04 37976.31 40029.17 NA 1321.56 1181.20 1245.05 NA
## 63 2011-11-22 42053.31 38657.03 39777.84 NA 1308.00 1202.37 1237.23 NA
## 64 2011-12-22 42006.79 38041.52 41444.71 NA 1306.56 1183.22 1289.07 NA
## 65 2012-01-21 43098.26 40965.54 42143.89 NA 1340.51 1274.17 1310.82 NA
## 66 2012-02-20 43201.20 39997.13 40077.42 NA 1343.71 1244.05 1246.55 NA
## 67 2012-03-21 41063.72 39502.19 40165.61 NA 1277.22 1228.66 1249.29 NA
## 68 2012-04-20 40683.07 38704.42 40070.14 NA 1265.38 1203.84 1246.32 NA
## 69 2012-05-20 42290.29 39254.77 41562.76 NA 1315.38 1220.96 1292.75 NA
## 70 2012-06-19 41929.10 39859.67 41223.55 NA 1304.14 1239.77 1282.20 NA
## 71 2012-07-19 42629.35 41173.64 42124.89 NA 1325.92 1280.64 1310.23 NA
## 72 2012-08-18 44000.05 42018.70 43510.11 NA 1368.55 1306.93 1353.32 NA
## 73 2012-09-17 44583.04 42860.70 42925.41 NA 1386.69 1333.12 1335.13 NA
## 74 2012-10-17 43959.78 41934.57 43158.94 NA 1367.30 1304.31 1342.39 NA
## 75 2012-11-16 43625.32 41391.66 41432.00 NA 1356.90 1287.42 1288.68 NA
## 76 2012-12-16 41599.79 39785.48 40103.34 NA 1293.90 1237.47 1247.35 NA
## 77 2013-01-15 40999.80 39145.83 39298.37 NA 1275.24 1217.57 1222.32 NA
## 78 2013-02-14 39868.18 37693.50 39152.18 NA 1240.04 1172.40 1217.77 NA
## 79 2013-03-16 40532.01 36279.21 36586.77 NA 1260.69 1128.41 1137.98 NA
## 80 2013-04-15 36716.35 32583.29 35550.63 NA 1142.01 1013.45 1105.75 NA
## 81 2013-05-15 35558.72 33087.24 33360.33 NA 1106.00 1029.13 1037.62 NA
## 82 2013-06-14 33597.74 29139.82 31654.63 NA 1045.01 906.35 984.57 NA
## 83 2013-07-14 32783.43 30796.31 32251.25 NA 1019.68 957.87 1003.13 NA
## 84 2013-08-13 34570.72 31916.32 32968.54 NA 1075.27 992.71 1025.44 NA
## 85 2013-09-12 32976.67 29942.45 30231.84 NA 1025.69 931.31 940.32 NA
## 86 2013-10-12 31887.01 29808.81 31015.90 NA 991.80 927.16 964.70 NA
## 87 2013-11-11 31015.90 28618.22 29463.40 NA 964.70 890.13 916.41 NA
## 88 2013-12-11 29494.65 27615.96 29042.17 NA 917.39 858.95 903.31 NA
## 89 2014-01-10 30231.06 29010.40 29882.31 NA 940.29 902.32 929.44 NA
## 90 2014-02-09 31676.40 29856.92 31060.49 NA 985.25 928.65 966.09 NA
## 91 2014-03-11 32191.43 29784.16 30432.22 NA 1001.27 926.39 946.55 NA
## 92 2014-04-10 30976.27 29519.60 30118.23 NA 963.47 918.16 936.78 NA
## 93 2014-05-10 30746.99 29274.95 29545.86 NA 956.34 910.55 918.98 NA
## 94 2014-06-09 31364.92 29494.58 31124.04 NA 975.56 917.38 968.07 NA
## 95 2014-07-09 31773.49 30635.46 31562.01 NA 988.27 952.87 981.69 NA
## 96 2014-08-08 31780.59 30839.90 31498.44 NA 988.49 959.23 979.71 NA
## 97 2014-09-07 31604.17 30256.99 30683.06 NA 983.00 941.10 954.35 NA
## 98 2014-10-07 31672.00 29318.20 29466.75 NA 985.11 911.90 916.52 NA
## 99 2014-11-06 31705.35 29466.75 31199.68 NA 986.15 916.52 970.42 NA
## 100 2014-12-06 32129.99 30526.63 31853.34 NA 999.35 949.48 990.75 NA
## 101 2015-01-05 37554.14 31814.75 35401.46 NA 1168.06 989.55 1101.11 NA
## 102 2015-02-04 36233.66 33767.72 34980.18 NA 1126.99 1050.29 1088.01 NA
## 103 2015-03-06 36064.47 34252.98 35250.10 NA 1121.73 1065.39 1096.40 NA
## 104 2015-04-05 36745.57 33431.02 34274.40 NA 1142.91 1039.82 1066.05 NA
## 105 2015-05-05 35457.62 33387.31 33853.64 NA 1102.86 1038.46 1052.97 NA
## 106 2015-06-04 34813.59 33354.70 33800.86 NA 1082.82 1037.45 1051.32 NA
## 107 2015-07-04 34372.68 31573.08 32050.94 NA 1069.11 982.03 996.90 NA
## 108 2015-08-03 33280.79 31516.68 32423.25 NA 1035.15 980.28 1008.48 NA
## 109 2015-09-02 33210.69 31240.77 31996.87 NA 1032.97 971.70 995.21 NA
## 110 2015-10-02 34377.71 31839.75 33361.12 NA 1069.27 990.33 1037.65 NA
## 111 2015-11-01 33363.21 32000.83 32373.70 NA 1037.71 995.34 1006.93 NA
## 112 2015-12-01 32644.80 30922.37 31224.01 NA 1015.37 961.79 971.18 NA
## 113 2015-12-31 33279.76 31208.16 33187.73 NA 1035.12 970.68 1032.25 NA
## 114 2016-01-30 36512.46 32912.13 35945.20 NA 1135.66 1023.68 1118.02 NA
## 115 2016-02-29 37434.06 34835.43 35291.70 NA 1164.33 1083.50 1097.69 NA
## 116 2016-03-30 35950.86 34243.66 35829.43 NA 1118.20 1065.10 1114.42 NA
## 117 2016-04-29 36545.58 34839.65 35094.02 NA 1136.69 1083.63 1091.55 NA
## 118 2016-05-29 40016.82 34734.86 38668.91 NA 1244.66 1080.37 1202.74 NA
## 119 2016-06-28 40017.38 37854.79 38922.39 NA 1244.68 1177.42 1210.62 NA
## 120 2016-07-28 39396.86 37554.95 37936.39 NA 1225.38 1168.09 1179.95 NA
## 121 2016-08-27 38468.45 37731.98 38292.45 NA 1196.50 1173.60 1191.03 NA
## 122 2016-09-26 38362.59 35783.37 37640.90 NA 1193.21 1112.99 1170.76 NA
## 123 2016-10-26 38216.22 36007.87 36117.38 NA 1188.66 1119.97 1123.38 NA
## 124 2016-11-25 36351.54 34671.06 35296.99 NA 1130.66 1078.39 1097.86 NA
## 125 2016-12-25 36500.51 35296.99 36381.76 NA 1135.29 1097.86 1131.60 NA
## 126 2017-01-24 37933.62 35538.55 37693.33 NA 1179.87 1105.37 1172.39 NA
## 127 2017-02-23 38322.45 36123.26 37028.22 NA 1191.96 1123.56 1151.71 NA
## 128 2017-03-25 39261.14 36892.88 37675.42 NA 1221.16 1147.50 1171.84 NA
## 129 2017-04-24 37878.85 35766.02 35980.58 NA 1178.16 1112.45 1119.12 NA
## 130 2017-05-24 37038.39 35820.44 36085.54 NA 1152.02 1114.14 1122.39 NA
## 131 2017-06-23 36222.38 33979.70 34598.23 NA 1126.64 1056.89 1076.13 NA
## 132 2017-07-23 35596.53 34178.42 35161.43 NA 1107.18 1063.07 1093.64 NA
## 133 2017-08-22 36247.73 34703.78 35167.98 NA 1127.43 1079.41 1093.85 NA
## 134 2017-09-21 35632.00 34641.37 34941.97 NA 1108.28 1077.47 1086.82 NA
## 135 2017-10-21 35708.78 34682.45 35442.43 NA 1110.67 1078.74 1102.38 NA
## 136 2017-11-20 35449.73 33856.38 34273.54 NA 1102.61 1053.05 1066.03 NA
## 137 2017-12-20 35517.44 34179.27 34897.58 NA 1104.72 1063.09 1085.44 NA
## 138 2018-01-19 35289.71 34307.79 34913.45 NA 1097.63 1067.09 1085.93 NA
## 139 2018-02-18 35014.14 34236.58 34326.84 NA 1089.06 1064.88 1067.68 NA
## 140 2018-03-20 35435.53 34225.52 35081.23 NA 1102.17 1064.53 1091.15 NA
## 141 2018-04-19 35717.14 34776.03 35325.18 NA 1110.93 1081.66 1098.74 NA
## 142 2018-05-19 36444.65 35109.29 35528.38 NA 1133.56 1092.02 1105.06 NA
## 143 2018-06-18 35660.89 33741.48 33858.87 NA 1109.18 1049.48 1053.13 NA
## 144 2018-07-18 34256.69 32913.71 33227.99 NA 1065.50 1023.73 1033.51 NA
## 145 2018-08-17 33514.62 32961.30 33018.71 NA 1042.42 1025.21 1027.00 NA
## 146 2018-09-16 34239.00 32539.30 34055.27 NA 1064.95 1012.09 1059.24 NA
## 147 2018-10-16 35156.44 33972.02 34419.19 NA 1093.49 1056.65 1070.56 NA
## 148 2018-11-15 35370.37 34287.49 35222.26 NA 1100.14 1066.46 1095.53 NA
## 149 2018-12-15 36607.41 35071.79 36138.34 NA 1138.62 1090.85 1124.03 NA
## 150 2019-01-14 37463.70 36105.74 37169.93 NA 1165.25 1123.01 1156.11 NA
## 151 2019-02-13 38150.67 36413.83 36856.65 NA 1186.62 1132.60 1146.37 NA
## 152 2019-03-15 37654.50 36670.52 36719.42 NA 1171.19 1140.58 1142.10 NA
## 153 2019-04-14 37265.04 36170.21 37260.61 NA 1159.07 1125.02 1158.93 NA
## 154 2019-05-14 38270.59 36610.05 37968.55 NA 1190.35 1138.70 1180.95 NA
## 155 2019-06-13 40872.62 37941.94 40383.76 NA 1271.28 1180.13 1256.08 NA
## 156 2019-07-13 43373.67 40145.72 43065.95 NA 1349.07 1248.67 1339.50 NA
## 157 2019-08-12 45447.61 42597.25 43269.24 NA 1413.58 1324.92 1345.82 NA
## 158 2019-09-11 44837.39 43085.91 43627.14 NA 1394.60 1340.12 1356.96 NA
## 159 2019-10-11 43951.30 42444.97 42574.88 NA 1367.04 1320.19 1324.23 NA
## 160 2019-11-10 43084.94 42197.05 42460.56 NA 1340.09 1312.47 1320.67 NA
## 161 2019-12-10 46404.65 42036.18 45073.25 NA 1443.35 1307.47 1401.93 NA
## 162 2020-01-09 46289.33 44345.40 46112.79 NA 1439.76 1379.30 1434.27 NA
## 163 2020-02-08 50184.91 45744.72 47995.13 NA 1560.93 1422.82 1492.82 NA
## 164 2020-03-09 49784.44 41848.68 48652.11 NA 1548.47 1301.64 1513.25 NA
## 165 2020-04-08 51857.67 48552.43 50861.30 NA 1612.95 1510.15 1581.96 NA
## 166 2020-05-08 52508.55 47502.32 47988.29 NA 1633.20 1477.49 1492.60 NA
## 167 2020-06-07 51310.12 47733.22 50755.59 NA 1595.92 1484.67 1578.68 NA
## 168 2020-07-07 55550.25 50562.93 55150.48 NA 1727.81 1572.68 1715.37 NA
## 169 2020-08-06 56232.33 51194.84 52514.53 NA 1749.02 1592.34 1633.38 NA
## 170 2020-09-05 53513.59 51009.24 52207.59 NA 1664.46 1586.56 1623.84 NA
## 171 2020-10-05 52618.25 51120.89 52330.87 NA 1636.61 1590.04 1627.67 NA
## 172 2020-11-04 53126.30 47359.90 48712.28 NA 1652.41 1473.06 1515.12 NA
## 173 2020-12-04 50304.91 48146.16 49971.94 NA 1564.66 1497.51 1554.30 NA
## 174 2021-01-03 51168.28 47973.32 49487.41 NA 1591.51 1492.14 1539.23 NA
## 175 2021-02-02 49604.01 45388.50 45647.02 NA 1542.86 1411.74 1419.78 NA
## 176 2021-03-04 47518.83 45385.43 47357.44 NA 1478.00 1411.64 1472.98 NA
## 177 2021-04-03 48119.98 46551.70 47291.93 NA 1496.70 1447.92 1470.94 NA
## 178 2021-05-03 50379.04 47258.78 49971.09 NA 1566.96 1469.91 1554.27 NA
## 179 2021-06-02 50317.30 47357.72 48193.48 NA 1565.04 1472.99 1498.98 NA
## 180 2021-07-02 49881.46 48178.09 49131.09 NA 1551.49 1498.51 1528.15 NA
## 181 2021-08-01 49657.58 46195.10 49346.80 NA 1544.52 1436.83 1534.86 NA
## 182 2021-08-31 49606.17 47593.30 47914.13 NA 1542.92 1480.32 1490.30 NA
## 183 2021-09-30 50131.17 47859.46 49611.60 NA 1559.25 1488.60 1543.09 NA
## 184 2021-10-30 53168.77 48879.69 51119.24 NA 1653.73 1520.33 1589.99 NA
## 185 2021-11-29 51671.56 50004.87 51344.29 NA 1607.17 1555.33 1596.99 NA
## 186 2021-12-29 52812.15 50662.67 51848.15 NA 1642.64 1575.79 1612.66 NA
## 187 2022-01-28 56850.28 50405.31 53923.49 NA 1768.24 1567.78 1677.21 NA
## 188 2022-02-27 61155.58 53923.49 56285.23 NA 1902.15 1677.21 1750.67 NA
## 189 2022-03-29 59424.39 54631.38 57442.53 NA 1848.31 1699.23 1786.66 NA
## 190 2022-04-28 58546.76 55194.18 55526.71 NA 1821.01 1716.73 1727.07 NA
## 191 2022-05-28 57530.05 54829.25 55719.10 NA 1789.38 1705.38 1733.06 NA
## 192 2022-06-27 56392.35 52902.63 54535.28 NA 1754.00 1645.46 1696.24 NA
## 193 2022-07-27 56840.37 54299.35 56638.50 NA 1767.93 1688.90 1761.65 NA
## 194 2022-08-26 56743.58 53399.95 54541.16 NA 1764.92 1660.92 1696.42 NA
## 195 2022-09-25 56363.54 53241.98 53729.00 NA 1753.10 1656.01 1671.16 NA
## 196 2022-10-25 55687.15 52963.38 54080.96 NA 1732.06 1647.35 1682.11 NA
## 197 2022-11-24 55290.73 53384.49 54463.22 NA 1719.73 1660.44 1694.00 NA
## 198 2022-12-24 57417.82 54349.45 57035.47 NA 1785.89 1690.46 1774.00 NA
## 199 2023-01-23 57401.35 54959.25 55407.78 NA 1785.38 1709.42 1723.37 NA
## 200 2023-02-22 60617.30 54719.61 59094.00 NA 1885.41 1701.97 1838.03 NA
## 201 2023-03-24 59962.56 57844.32 58045.36 NA 1865.04 1799.16 1805.41 NA
## 202 2023-04-23 60365.96 57618.97 58584.20 NA 1877.59 1792.15 1822.17 NA
## 203 2023-05-23 59539.22 56537.49 56567.90 NA 1851.88 1758.51 1759.46 NA
## 204 2023-06-22 57181.92 55747.98 56688.00 NA 1778.56 1733.96 1763.19 NA
## 205 2023-07-22 57616.01 55771.88 55872.93 NA 1792.06 1734.70 1737.84 NA
## 206 2023-08-21 58234.26 55673.47 58136.90 NA 1811.29 1731.64 1808.26 NA
## 207 2023-09-20 60198.90 55366.81 60046.17 NA 1872.40 1722.10 1867.64 NA
## 208 2023-10-20 61150.14 57982.54 58341.47 NA 1901.98 1803.46 1814.62 NA
## 209 2023-11-19 63271.88 57851.32 59682.35 NA 1967.98 1799.38 1856.33 NA
## 210 2023-12-19 60774.65 59105.26 59358.80 NA 1890.30 1838.38 1846.27 NA
## 211 2024-01-18 61140.89 59211.98 60065.24 NA 1901.69 1841.70 1868.24 NA
## 212 2024-02-17 64502.42 59919.83 63709.35 NA 2006.25 1863.72 1981.58 NA
## 213 2024-03-18 73515.91 63364.91 72120.44 NA 2286.60 1970.87 2243.20 NA
## 214 2024-04-17 73204.14 67973.57 70349.03 NA 2276.90 2114.21 2188.10 NA
## 215 2024-05-17 72398.47 68062.90 70060.06 NA 2251.84 2116.99 2179.11 NA
## 216 2024-06-16 71845.24 69047.64 71468.16 NA 2234.64 2147.62 2222.91 NA
## 217 2024-07-16 73481.83 69308.99 71519.44 NA 2285.54 2155.75 2224.50 NA
## 218 2024-08-15 75011.47 71421.34 74851.06 NA 2333.12 2221.45 2328.13 NA
## 219 2024-09-14 78259.46 73782.43 77948.40 NA 2434.14 2294.89 2424.47 NA
## 220 2024-10-14 82882.58 77826.62 78705.69 NA 2577.94 2420.68 2448.02 NA
## 221 2024-11-13 83849.34 77545.00 82287.08 NA 2608.01 2411.92 2559.41 NA
## 222 2024-12-13 84699.37 80035.49 84416.34 NA 2634.44 2489.38 2625.64 NA
## 223 2025-01-12 91189.84 83279.96 91065.75 NA 2836.32 2590.30 2832.46 NA
## 224 2025-02-11 91848.96 85401.47 86778.63 NA 2856.82 2656.28 2699.12 NA
## 225 2025-03-13 93597.87 86706.16 91573.34 NA 2911.22 2696.86 2848.25 NA
## 226 2025-04-12 97592.09 90365.60 94128.62 NA 3035.45 2810.68 2927.73 NA
## 227 2025-05-12 95762.30 89686.65 93545.33 NA 2978.54 2789.57 2909.59 NA
## 228 2025-06-11 96300.38 89099.61 91327.14 NA 2995.28 2771.31 2840.59 NA
## 229 2025-07-11 94236.82 90745.66 93863.69 NA 2931.09 2822.51 2919.49 NA
## 230 2025-08-10 99769.34 91285.91 99307.72 NA 3103.17 2839.31 3088.82 NA
## 231 2025-09-09 112503.29 98936.72 110940.74 NA 3499.24 3077.28 3450.64 NA
## 232 2025-10-09 121008.23 107289.14 111186.39 NA 3763.78 3337.07 3458.28 NA
## 233 2025-11-08 117926.76 110868.01 116046.12 NA 3667.93 3448.38 3609.44 NA
## 234 2025-12-08 124262.47 115174.10 123606.80 NA 3864.99 3582.31 3844.60 NA
## 235 2026-01-07 150118.89 119509.20 128420.01 NA 4669.22 3717.15 3994.31 NA
## 236 2026-02-06 148807.40 127172.65 143135.23 NA 4628.43 3955.51 4452.00 NA
## 237 2026-03-08 144582.44 114324.11 129792.45 NA 4497.02 3555.88 4037.00 NA
## 238 2026-04-07 133593.95 123890.12 128597.38 NA 4155.24 3853.41 3999.83 NA
## 239 2026-05-07 130310.09 120319.48 120799.08 NA 4053.10 3742.35 3757.27 NA
## 240 2026-06-06 121458.04 116199.23 116662.20 NA 3777.77 3614.20 3628.60 NA
## Cijena
## 1 484.14
## 2 471.04
## 3 483.41
## 4 508.85
## 5 491.65
## 6 510.32
## 7 490.10
## 8 489.82
## 9 484.22
## 10 495.17
## 11 509.51
## 12 529.15
## 13 545.02
## 14 551.84
## 15 606.24
## 16 633.72
## 17 634.04
## 18 589.18
## 19 571.68
## 20 571.01
## 21 590.43
## 22 570.77
## 23 566.13
## 24 655.14
## 25 577.33
## 26 594.76
## 27 628.32
## 28 704.53
## 29 742.15
## 30 659.24
## 31 674.72
## 32 690.48
## 33 667.02
## 34 663.53
## 35 684.40
## 36 687.84
## 37 709.17
## 38 793.05
## 39 766.03
## 40 779.86
## 41 824.73
## 42 823.03
## 43 887.25
## 44 985.49
## 45 1018.41
## 46 893.93
## 47 970.39
## 48 962.62
## 49 962.95
## 50 1030.26
## 51 1050.72
## 52 973.85
## 53 1015.90
## 54 1015.12
## 55 1035.62
## 56 1084.99
## 57 1058.58
## 58 1125.22
## 59 1272.81
## 60 1289.98
## 61 1181.61
## 62 1245.05
## 63 1237.23
## 64 1289.07
## 65 1310.82
## 66 1246.55
## 67 1249.29
## 68 1246.32
## 69 1292.75
## 70 1282.20
## 71 1310.23
## 72 1353.32
## 73 1335.13
## 74 1342.39
## 75 1288.68
## 76 1247.35
## 77 1222.32
## 78 1217.77
## 79 1137.98
## 80 1105.75
## 81 1037.62
## 82 984.57
## 83 1003.13
## 84 1025.44
## 85 940.32
## 86 964.70
## 87 916.41
## 88 903.31
## 89 929.44
## 90 966.09
## 91 946.55
## 92 936.78
## 93 918.98
## 94 968.07
## 95 981.69
## 96 979.71
## 97 954.35
## 98 916.52
## 99 970.42
## 100 990.75
## 101 1101.11
## 102 1088.01
## 103 1096.40
## 104 1066.05
## 105 1052.97
## 106 1051.32
## 107 996.90
## 108 1008.48
## 109 995.21
## 110 1037.65
## 111 1006.93
## 112 971.18
## 113 1032.25
## 114 1118.02
## 115 1097.69
## 116 1114.42
## 117 1091.55
## 118 1202.74
## 119 1210.62
## 120 1179.95
## 121 1191.03
## 122 1170.76
## 123 1123.38
## 124 1097.86
## 125 1131.60
## 126 1172.39
## 127 1151.71
## 128 1171.84
## 129 1119.12
## 130 1122.39
## 131 1076.13
## 132 1093.64
## 133 1093.85
## 134 1086.82
## 135 1102.38
## 136 1066.03
## 137 1085.44
## 138 1085.93
## 139 1067.68
## 140 1091.15
## 141 1098.74
## 142 1105.06
## 143 1053.13
## 144 1033.51
## 145 1027.00
## 146 1059.24
## 147 1070.56
## 148 1095.53
## 149 1124.03
## 150 1156.11
## 151 1146.37
## 152 1142.10
## 153 1158.93
## 154 1180.95
## 155 1256.08
## 156 1339.50
## 157 1345.82
## 158 1356.96
## 159 1324.23
## 160 1320.67
## 161 1401.93
## 162 1434.27
## 163 1492.82
## 164 1513.25
## 165 1581.96
## 166 1492.60
## 167 1578.68
## 168 1715.37
## 169 1633.38
## 170 1623.84
## 171 1627.67
## 172 1515.12
## 173 1554.30
## 174 1539.23
## 175 1419.78
## 176 1472.98
## 177 1470.94
## 178 1554.27
## 179 1498.98
## 180 1528.15
## 181 1534.86
## 182 1490.30
## 183 1543.09
## 184 1589.99
## 185 1596.99
## 186 1612.66
## 187 1677.21
## 188 1750.67
## 189 1786.66
## 190 1727.07
## 191 1733.06
## 192 1696.24
## 193 1761.65
## 194 1696.42
## 195 1671.16
## 196 1682.11
## 197 1694.00
## 198 1774.00
## 199 1723.37
## 200 1838.03
## 201 1805.41
## 202 1822.17
## 203 1759.46
## 204 1763.19
## 205 1737.84
## 206 1808.26
## 207 1867.64
## 208 1814.62
## 209 1856.33
## 210 1846.27
## 211 1868.24
## 212 1981.58
## 213 2243.20
## 214 2188.10
## 215 2179.11
## 216 2222.91
## 217 2224.50
## 218 2328.13
## 219 2424.47
## 220 2448.02
## 221 2559.41
## 222 2625.64
## 223 2832.46
## 224 2699.12
## 225 2848.25
## 226 2927.73
## 227 2909.59
## 228 2840.59
## 229 2919.49
## 230 3088.82
## 231 3450.64
## 232 3458.28
## 233 3609.44
## 234 3844.60
## 235 3994.31
## 236 4452.00
## 237 4037.00
## 238 3999.83
## 239 3757.27
## 240 3628.60## Učitano 180 dnevnih i 240 mjesečnih opservacija## Raspon: od 2006-10-19 do 2026-06-06cat("Cijena zlata: min = $", round(min(mjesecni$Cijena), 2),
"| max = $", round(max(mjesecni$Cijena), 2),
"| zadnja = $", round(tail(mjesecni$Cijena, 1), 2), "\n")## Cijena zlata: min = $ 471.04 | max = $ 4452 | zadnja = $ 3628.64 Empirijska statistika i distribucija
Iz povijesnih podataka računamo log-return — standardnu mjeru promjene cijene. Log-return je simetričan (rast i pad iste veličine daju isti broj), što ga čini pogodnim za statističke izračune.
mjesecni <- mjesecni %>%
mutate(LogReturn = c(NA, diff(log(Cijena))),
Promjena = c(NA, diff(Cijena)))
mjesecni## Datum High_kg Low_kg Close_kg NA1 High_oz Low_oz Close_oz NA2
## 1 2006-10-19 15932.18 14714.19 15565.58 NA 495.55 457.66 484.14 NA
## 2 2006-11-18 15766.95 15092.97 15144.31 NA 490.41 469.44 471.04 NA
## 3 2006-12-18 15665.94 14930.24 15542.15 NA 487.27 464.38 483.41 NA
## 4 2007-01-17 16582.75 15448.85 16360.02 NA 515.78 480.51 508.85 NA
## 5 2007-02-16 16798.55 15483.66 15807.01 NA 522.49 481.60 491.65 NA
## 6 2007-03-18 16417.02 15727.52 16407.21 NA 510.63 489.18 510.32 NA
## 7 2007-04-17 16430.03 15715.38 15756.99 NA 511.03 488.80 490.10 NA
## 8 2007-05-17 16078.19 15527.22 15747.95 NA 500.09 482.95 489.82 NA
## 9 2007-06-16 15879.80 15300.67 15568.10 NA 493.92 475.90 484.22 NA
## 10 2007-07-16 15962.05 15442.64 15919.96 NA 496.48 480.32 495.17 NA
## 11 2007-08-15 16631.51 15443.29 16381.17 NA 517.30 480.34 509.51 NA
## 12 2007-09-14 17038.99 16312.04 17012.63 NA 529.97 507.36 529.15 NA
## 13 2007-10-14 18524.30 16935.64 17522.68 NA 576.17 526.76 545.02 NA
## 14 2007-11-13 18107.99 16962.21 17742.17 NA 563.22 527.58 551.84 NA
## 15 2007-12-13 19520.43 17484.44 19491.13 NA 607.15 543.83 606.24 NA
## 16 2008-01-12 20458.29 18983.57 20374.68 NA 636.32 590.46 633.72 NA
## 17 2008-02-11 21129.29 19436.32 20384.98 NA 657.19 604.54 634.04 NA
## 18 2008-03-12 20973.85 18049.04 18942.42 NA 652.36 561.39 589.18 NA
## 19 2008-04-11 19200.61 17514.21 18380.03 NA 597.21 544.75 571.68 NA
## 20 2008-05-11 19056.28 17904.83 18358.51 NA 592.72 556.90 571.01 NA
## 21 2008-06-10 19265.59 17916.48 18982.74 NA 599.23 557.26 590.43 NA
## 22 2008-07-10 19894.41 18151.81 18350.64 NA 618.79 564.58 570.77 NA
## 23 2008-08-09 18548.44 16938.27 18201.54 NA 576.92 526.84 566.13 NA
## 24 2008-09-08 21112.11 17020.67 21063.20 NA 656.66 529.40 655.14 NA
## 25 2008-10-08 22032.01 17504.96 18561.59 NA 685.27 544.47 577.33 NA
## 26 2008-11-07 20816.35 18074.03 19121.92 NA 647.46 562.17 594.76 NA
## 27 2008-12-07 20432.25 18962.13 20201.05 NA 635.51 589.79 628.32 NA
## 28 2009-01-06 23395.70 19592.47 22651.19 NA 727.69 609.39 704.53 NA
## 29 2009-02-05 25517.62 21941.85 23860.68 NA 793.69 682.47 742.15 NA
## 30 2009-03-07 24071.20 21161.10 21194.97 NA 748.70 658.18 659.24 NA
## 31 2009-04-06 22443.59 20709.78 21692.85 NA 698.07 644.15 674.72 NA
## 32 2009-05-06 22419.15 21508.02 22199.46 NA 697.31 668.97 690.48 NA
## 33 2009-06-05 22222.77 21056.40 21445.10 NA 691.21 654.93 667.02 NA
## 34 2009-07-05 21623.96 20886.92 21333.01 NA 672.58 649.66 663.53 NA
## 35 2009-08-04 22100.22 21137.81 22003.86 NA 687.39 657.46 684.40 NA
## 36 2009-09-03 22480.26 21636.59 22114.69 NA 699.21 672.97 687.84 NA
## 37 2009-10-03 23169.99 22055.67 22800.45 NA 720.67 686.01 709.17 NA
## 38 2009-11-02 25603.67 22734.67 25497.12 NA 796.36 707.13 793.05 NA
## 39 2009-12-02 26133.62 24300.08 24628.32 NA 812.85 755.82 766.03 NA
## 40 2010-01-01 25785.21 24591.01 25073.17 NA 802.01 764.87 779.86 NA
## 41 2010-01-31 26711.83 24720.10 26515.75 NA 830.83 768.88 824.73 NA
## 42 2010-03-02 26959.51 25703.48 26461.06 NA 838.53 799.47 823.03 NA
## 43 2010-04-01 28759.50 26444.08 28525.91 NA 894.52 822.50 887.25 NA
## 44 2010-05-01 32595.42 28382.44 31684.25 NA 1013.83 882.79 985.49 NA
## 45 2010-05-31 33802.64 31575.71 32742.56 NA 1051.38 982.11 1018.41 NA
## 46 2010-06-30 32855.89 28500.83 28740.61 NA 1021.93 886.47 893.93 NA
## 47 2010-07-30 31575.99 28688.83 31198.68 NA 982.12 892.32 970.39 NA
## 48 2010-08-29 31997.20 30857.90 30949.10 NA 995.22 959.79 962.62 NA
## 49 2010-09-28 31676.79 30394.27 30959.54 NA 985.26 945.37 962.95 NA
## 50 2010-10-28 33288.85 30436.69 33123.69 NA 1035.40 946.69 1030.26 NA
## 51 2010-11-27 34487.45 32929.57 33781.44 NA 1072.68 1024.22 1050.72 NA
## 52 2010-12-27 34586.35 31207.70 31309.87 NA 1075.76 970.67 973.85 NA
## 53 2011-01-26 33339.46 30680.15 32662.00 NA 1036.97 954.26 1015.90 NA
## 54 2011-02-25 33504.35 32003.50 32636.80 NA 1042.10 995.42 1015.12 NA
## 55 2011-03-27 33829.60 32149.78 33295.92 NA 1052.22 999.97 1035.62 NA
## 56 2011-04-26 34994.82 32381.32 34883.16 NA 1088.46 1007.17 1084.99 NA
## 57 2011-05-26 34948.50 33655.38 34034.11 NA 1087.02 1046.80 1058.58 NA
## 58 2011-06-25 36808.84 32837.10 36176.57 NA 1144.88 1021.35 1125.22 NA
## 59 2011-07-25 42793.93 35681.29 40921.80 NA 1331.04 1109.81 1272.81 NA
## 60 2011-08-24 44204.02 37975.43 41473.85 NA 1374.90 1181.17 1289.98 NA
## 61 2011-09-23 41725.73 36934.86 37989.54 NA 1297.82 1148.80 1181.61 NA
## 62 2011-10-23 42489.04 37976.31 40029.17 NA 1321.56 1181.20 1245.05 NA
## 63 2011-11-22 42053.31 38657.03 39777.84 NA 1308.00 1202.37 1237.23 NA
## 64 2011-12-22 42006.79 38041.52 41444.71 NA 1306.56 1183.22 1289.07 NA
## 65 2012-01-21 43098.26 40965.54 42143.89 NA 1340.51 1274.17 1310.82 NA
## 66 2012-02-20 43201.20 39997.13 40077.42 NA 1343.71 1244.05 1246.55 NA
## 67 2012-03-21 41063.72 39502.19 40165.61 NA 1277.22 1228.66 1249.29 NA
## 68 2012-04-20 40683.07 38704.42 40070.14 NA 1265.38 1203.84 1246.32 NA
## 69 2012-05-20 42290.29 39254.77 41562.76 NA 1315.38 1220.96 1292.75 NA
## 70 2012-06-19 41929.10 39859.67 41223.55 NA 1304.14 1239.77 1282.20 NA
## 71 2012-07-19 42629.35 41173.64 42124.89 NA 1325.92 1280.64 1310.23 NA
## 72 2012-08-18 44000.05 42018.70 43510.11 NA 1368.55 1306.93 1353.32 NA
## 73 2012-09-17 44583.04 42860.70 42925.41 NA 1386.69 1333.12 1335.13 NA
## 74 2012-10-17 43959.78 41934.57 43158.94 NA 1367.30 1304.31 1342.39 NA
## 75 2012-11-16 43625.32 41391.66 41432.00 NA 1356.90 1287.42 1288.68 NA
## 76 2012-12-16 41599.79 39785.48 40103.34 NA 1293.90 1237.47 1247.35 NA
## 77 2013-01-15 40999.80 39145.83 39298.37 NA 1275.24 1217.57 1222.32 NA
## 78 2013-02-14 39868.18 37693.50 39152.18 NA 1240.04 1172.40 1217.77 NA
## 79 2013-03-16 40532.01 36279.21 36586.77 NA 1260.69 1128.41 1137.98 NA
## 80 2013-04-15 36716.35 32583.29 35550.63 NA 1142.01 1013.45 1105.75 NA
## 81 2013-05-15 35558.72 33087.24 33360.33 NA 1106.00 1029.13 1037.62 NA
## 82 2013-06-14 33597.74 29139.82 31654.63 NA 1045.01 906.35 984.57 NA
## 83 2013-07-14 32783.43 30796.31 32251.25 NA 1019.68 957.87 1003.13 NA
## 84 2013-08-13 34570.72 31916.32 32968.54 NA 1075.27 992.71 1025.44 NA
## 85 2013-09-12 32976.67 29942.45 30231.84 NA 1025.69 931.31 940.32 NA
## 86 2013-10-12 31887.01 29808.81 31015.90 NA 991.80 927.16 964.70 NA
## 87 2013-11-11 31015.90 28618.22 29463.40 NA 964.70 890.13 916.41 NA
## 88 2013-12-11 29494.65 27615.96 29042.17 NA 917.39 858.95 903.31 NA
## 89 2014-01-10 30231.06 29010.40 29882.31 NA 940.29 902.32 929.44 NA
## 90 2014-02-09 31676.40 29856.92 31060.49 NA 985.25 928.65 966.09 NA
## 91 2014-03-11 32191.43 29784.16 30432.22 NA 1001.27 926.39 946.55 NA
## 92 2014-04-10 30976.27 29519.60 30118.23 NA 963.47 918.16 936.78 NA
## 93 2014-05-10 30746.99 29274.95 29545.86 NA 956.34 910.55 918.98 NA
## 94 2014-06-09 31364.92 29494.58 31124.04 NA 975.56 917.38 968.07 NA
## 95 2014-07-09 31773.49 30635.46 31562.01 NA 988.27 952.87 981.69 NA
## 96 2014-08-08 31780.59 30839.90 31498.44 NA 988.49 959.23 979.71 NA
## 97 2014-09-07 31604.17 30256.99 30683.06 NA 983.00 941.10 954.35 NA
## 98 2014-10-07 31672.00 29318.20 29466.75 NA 985.11 911.90 916.52 NA
## 99 2014-11-06 31705.35 29466.75 31199.68 NA 986.15 916.52 970.42 NA
## 100 2014-12-06 32129.99 30526.63 31853.34 NA 999.35 949.48 990.75 NA
## 101 2015-01-05 37554.14 31814.75 35401.46 NA 1168.06 989.55 1101.11 NA
## 102 2015-02-04 36233.66 33767.72 34980.18 NA 1126.99 1050.29 1088.01 NA
## 103 2015-03-06 36064.47 34252.98 35250.10 NA 1121.73 1065.39 1096.40 NA
## 104 2015-04-05 36745.57 33431.02 34274.40 NA 1142.91 1039.82 1066.05 NA
## 105 2015-05-05 35457.62 33387.31 33853.64 NA 1102.86 1038.46 1052.97 NA
## 106 2015-06-04 34813.59 33354.70 33800.86 NA 1082.82 1037.45 1051.32 NA
## 107 2015-07-04 34372.68 31573.08 32050.94 NA 1069.11 982.03 996.90 NA
## 108 2015-08-03 33280.79 31516.68 32423.25 NA 1035.15 980.28 1008.48 NA
## 109 2015-09-02 33210.69 31240.77 31996.87 NA 1032.97 971.70 995.21 NA
## 110 2015-10-02 34377.71 31839.75 33361.12 NA 1069.27 990.33 1037.65 NA
## 111 2015-11-01 33363.21 32000.83 32373.70 NA 1037.71 995.34 1006.93 NA
## 112 2015-12-01 32644.80 30922.37 31224.01 NA 1015.37 961.79 971.18 NA
## 113 2015-12-31 33279.76 31208.16 33187.73 NA 1035.12 970.68 1032.25 NA
## 114 2016-01-30 36512.46 32912.13 35945.20 NA 1135.66 1023.68 1118.02 NA
## 115 2016-02-29 37434.06 34835.43 35291.70 NA 1164.33 1083.50 1097.69 NA
## 116 2016-03-30 35950.86 34243.66 35829.43 NA 1118.20 1065.10 1114.42 NA
## 117 2016-04-29 36545.58 34839.65 35094.02 NA 1136.69 1083.63 1091.55 NA
## 118 2016-05-29 40016.82 34734.86 38668.91 NA 1244.66 1080.37 1202.74 NA
## 119 2016-06-28 40017.38 37854.79 38922.39 NA 1244.68 1177.42 1210.62 NA
## 120 2016-07-28 39396.86 37554.95 37936.39 NA 1225.38 1168.09 1179.95 NA
## 121 2016-08-27 38468.45 37731.98 38292.45 NA 1196.50 1173.60 1191.03 NA
## 122 2016-09-26 38362.59 35783.37 37640.90 NA 1193.21 1112.99 1170.76 NA
## 123 2016-10-26 38216.22 36007.87 36117.38 NA 1188.66 1119.97 1123.38 NA
## 124 2016-11-25 36351.54 34671.06 35296.99 NA 1130.66 1078.39 1097.86 NA
## 125 2016-12-25 36500.51 35296.99 36381.76 NA 1135.29 1097.86 1131.60 NA
## 126 2017-01-24 37933.62 35538.55 37693.33 NA 1179.87 1105.37 1172.39 NA
## 127 2017-02-23 38322.45 36123.26 37028.22 NA 1191.96 1123.56 1151.71 NA
## 128 2017-03-25 39261.14 36892.88 37675.42 NA 1221.16 1147.50 1171.84 NA
## 129 2017-04-24 37878.85 35766.02 35980.58 NA 1178.16 1112.45 1119.12 NA
## 130 2017-05-24 37038.39 35820.44 36085.54 NA 1152.02 1114.14 1122.39 NA
## 131 2017-06-23 36222.38 33979.70 34598.23 NA 1126.64 1056.89 1076.13 NA
## 132 2017-07-23 35596.53 34178.42 35161.43 NA 1107.18 1063.07 1093.64 NA
## 133 2017-08-22 36247.73 34703.78 35167.98 NA 1127.43 1079.41 1093.85 NA
## 134 2017-09-21 35632.00 34641.37 34941.97 NA 1108.28 1077.47 1086.82 NA
## 135 2017-10-21 35708.78 34682.45 35442.43 NA 1110.67 1078.74 1102.38 NA
## 136 2017-11-20 35449.73 33856.38 34273.54 NA 1102.61 1053.05 1066.03 NA
## 137 2017-12-20 35517.44 34179.27 34897.58 NA 1104.72 1063.09 1085.44 NA
## 138 2018-01-19 35289.71 34307.79 34913.45 NA 1097.63 1067.09 1085.93 NA
## 139 2018-02-18 35014.14 34236.58 34326.84 NA 1089.06 1064.88 1067.68 NA
## 140 2018-03-20 35435.53 34225.52 35081.23 NA 1102.17 1064.53 1091.15 NA
## 141 2018-04-19 35717.14 34776.03 35325.18 NA 1110.93 1081.66 1098.74 NA
## 142 2018-05-19 36444.65 35109.29 35528.38 NA 1133.56 1092.02 1105.06 NA
## 143 2018-06-18 35660.89 33741.48 33858.87 NA 1109.18 1049.48 1053.13 NA
## 144 2018-07-18 34256.69 32913.71 33227.99 NA 1065.50 1023.73 1033.51 NA
## 145 2018-08-17 33514.62 32961.30 33018.71 NA 1042.42 1025.21 1027.00 NA
## 146 2018-09-16 34239.00 32539.30 34055.27 NA 1064.95 1012.09 1059.24 NA
## 147 2018-10-16 35156.44 33972.02 34419.19 NA 1093.49 1056.65 1070.56 NA
## 148 2018-11-15 35370.37 34287.49 35222.26 NA 1100.14 1066.46 1095.53 NA
## 149 2018-12-15 36607.41 35071.79 36138.34 NA 1138.62 1090.85 1124.03 NA
## 150 2019-01-14 37463.70 36105.74 37169.93 NA 1165.25 1123.01 1156.11 NA
## 151 2019-02-13 38150.67 36413.83 36856.65 NA 1186.62 1132.60 1146.37 NA
## 152 2019-03-15 37654.50 36670.52 36719.42 NA 1171.19 1140.58 1142.10 NA
## 153 2019-04-14 37265.04 36170.21 37260.61 NA 1159.07 1125.02 1158.93 NA
## 154 2019-05-14 38270.59 36610.05 37968.55 NA 1190.35 1138.70 1180.95 NA
## 155 2019-06-13 40872.62 37941.94 40383.76 NA 1271.28 1180.13 1256.08 NA
## 156 2019-07-13 43373.67 40145.72 43065.95 NA 1349.07 1248.67 1339.50 NA
## 157 2019-08-12 45447.61 42597.25 43269.24 NA 1413.58 1324.92 1345.82 NA
## 158 2019-09-11 44837.39 43085.91 43627.14 NA 1394.60 1340.12 1356.96 NA
## 159 2019-10-11 43951.30 42444.97 42574.88 NA 1367.04 1320.19 1324.23 NA
## 160 2019-11-10 43084.94 42197.05 42460.56 NA 1340.09 1312.47 1320.67 NA
## 161 2019-12-10 46404.65 42036.18 45073.25 NA 1443.35 1307.47 1401.93 NA
## 162 2020-01-09 46289.33 44345.40 46112.79 NA 1439.76 1379.30 1434.27 NA
## 163 2020-02-08 50184.91 45744.72 47995.13 NA 1560.93 1422.82 1492.82 NA
## 164 2020-03-09 49784.44 41848.68 48652.11 NA 1548.47 1301.64 1513.25 NA
## 165 2020-04-08 51857.67 48552.43 50861.30 NA 1612.95 1510.15 1581.96 NA
## 166 2020-05-08 52508.55 47502.32 47988.29 NA 1633.20 1477.49 1492.60 NA
## 167 2020-06-07 51310.12 47733.22 50755.59 NA 1595.92 1484.67 1578.68 NA
## 168 2020-07-07 55550.25 50562.93 55150.48 NA 1727.81 1572.68 1715.37 NA
## 169 2020-08-06 56232.33 51194.84 52514.53 NA 1749.02 1592.34 1633.38 NA
## 170 2020-09-05 53513.59 51009.24 52207.59 NA 1664.46 1586.56 1623.84 NA
## 171 2020-10-05 52618.25 51120.89 52330.87 NA 1636.61 1590.04 1627.67 NA
## 172 2020-11-04 53126.30 47359.90 48712.28 NA 1652.41 1473.06 1515.12 NA
## 173 2020-12-04 50304.91 48146.16 49971.94 NA 1564.66 1497.51 1554.30 NA
## 174 2021-01-03 51168.28 47973.32 49487.41 NA 1591.51 1492.14 1539.23 NA
## 175 2021-02-02 49604.01 45388.50 45647.02 NA 1542.86 1411.74 1419.78 NA
## 176 2021-03-04 47518.83 45385.43 47357.44 NA 1478.00 1411.64 1472.98 NA
## 177 2021-04-03 48119.98 46551.70 47291.93 NA 1496.70 1447.92 1470.94 NA
## 178 2021-05-03 50379.04 47258.78 49971.09 NA 1566.96 1469.91 1554.27 NA
## 179 2021-06-02 50317.30 47357.72 48193.48 NA 1565.04 1472.99 1498.98 NA
## 180 2021-07-02 49881.46 48178.09 49131.09 NA 1551.49 1498.51 1528.15 NA
## 181 2021-08-01 49657.58 46195.10 49346.80 NA 1544.52 1436.83 1534.86 NA
## 182 2021-08-31 49606.17 47593.30 47914.13 NA 1542.92 1480.32 1490.30 NA
## 183 2021-09-30 50131.17 47859.46 49611.60 NA 1559.25 1488.60 1543.09 NA
## 184 2021-10-30 53168.77 48879.69 51119.24 NA 1653.73 1520.33 1589.99 NA
## 185 2021-11-29 51671.56 50004.87 51344.29 NA 1607.17 1555.33 1596.99 NA
## 186 2021-12-29 52812.15 50662.67 51848.15 NA 1642.64 1575.79 1612.66 NA
## 187 2022-01-28 56850.28 50405.31 53923.49 NA 1768.24 1567.78 1677.21 NA
## 188 2022-02-27 61155.58 53923.49 56285.23 NA 1902.15 1677.21 1750.67 NA
## 189 2022-03-29 59424.39 54631.38 57442.53 NA 1848.31 1699.23 1786.66 NA
## 190 2022-04-28 58546.76 55194.18 55526.71 NA 1821.01 1716.73 1727.07 NA
## 191 2022-05-28 57530.05 54829.25 55719.10 NA 1789.38 1705.38 1733.06 NA
## 192 2022-06-27 56392.35 52902.63 54535.28 NA 1754.00 1645.46 1696.24 NA
## 193 2022-07-27 56840.37 54299.35 56638.50 NA 1767.93 1688.90 1761.65 NA
## 194 2022-08-26 56743.58 53399.95 54541.16 NA 1764.92 1660.92 1696.42 NA
## 195 2022-09-25 56363.54 53241.98 53729.00 NA 1753.10 1656.01 1671.16 NA
## 196 2022-10-25 55687.15 52963.38 54080.96 NA 1732.06 1647.35 1682.11 NA
## 197 2022-11-24 55290.73 53384.49 54463.22 NA 1719.73 1660.44 1694.00 NA
## 198 2022-12-24 57417.82 54349.45 57035.47 NA 1785.89 1690.46 1774.00 NA
## 199 2023-01-23 57401.35 54959.25 55407.78 NA 1785.38 1709.42 1723.37 NA
## 200 2023-02-22 60617.30 54719.61 59094.00 NA 1885.41 1701.97 1838.03 NA
## 201 2023-03-24 59962.56 57844.32 58045.36 NA 1865.04 1799.16 1805.41 NA
## 202 2023-04-23 60365.96 57618.97 58584.20 NA 1877.59 1792.15 1822.17 NA
## 203 2023-05-23 59539.22 56537.49 56567.90 NA 1851.88 1758.51 1759.46 NA
## 204 2023-06-22 57181.92 55747.98 56688.00 NA 1778.56 1733.96 1763.19 NA
## 205 2023-07-22 57616.01 55771.88 55872.93 NA 1792.06 1734.70 1737.84 NA
## 206 2023-08-21 58234.26 55673.47 58136.90 NA 1811.29 1731.64 1808.26 NA
## 207 2023-09-20 60198.90 55366.81 60046.17 NA 1872.40 1722.10 1867.64 NA
## 208 2023-10-20 61150.14 57982.54 58341.47 NA 1901.98 1803.46 1814.62 NA
## 209 2023-11-19 63271.88 57851.32 59682.35 NA 1967.98 1799.38 1856.33 NA
## 210 2023-12-19 60774.65 59105.26 59358.80 NA 1890.30 1838.38 1846.27 NA
## 211 2024-01-18 61140.89 59211.98 60065.24 NA 1901.69 1841.70 1868.24 NA
## 212 2024-02-17 64502.42 59919.83 63709.35 NA 2006.25 1863.72 1981.58 NA
## 213 2024-03-18 73515.91 63364.91 72120.44 NA 2286.60 1970.87 2243.20 NA
## 214 2024-04-17 73204.14 67973.57 70349.03 NA 2276.90 2114.21 2188.10 NA
## 215 2024-05-17 72398.47 68062.90 70060.06 NA 2251.84 2116.99 2179.11 NA
## 216 2024-06-16 71845.24 69047.64 71468.16 NA 2234.64 2147.62 2222.91 NA
## 217 2024-07-16 73481.83 69308.99 71519.44 NA 2285.54 2155.75 2224.50 NA
## 218 2024-08-15 75011.47 71421.34 74851.06 NA 2333.12 2221.45 2328.13 NA
## 219 2024-09-14 78259.46 73782.43 77948.40 NA 2434.14 2294.89 2424.47 NA
## 220 2024-10-14 82882.58 77826.62 78705.69 NA 2577.94 2420.68 2448.02 NA
## 221 2024-11-13 83849.34 77545.00 82287.08 NA 2608.01 2411.92 2559.41 NA
## 222 2024-12-13 84699.37 80035.49 84416.34 NA 2634.44 2489.38 2625.64 NA
## 223 2025-01-12 91189.84 83279.96 91065.75 NA 2836.32 2590.30 2832.46 NA
## 224 2025-02-11 91848.96 85401.47 86778.63 NA 2856.82 2656.28 2699.12 NA
## 225 2025-03-13 93597.87 86706.16 91573.34 NA 2911.22 2696.86 2848.25 NA
## 226 2025-04-12 97592.09 90365.60 94128.62 NA 3035.45 2810.68 2927.73 NA
## 227 2025-05-12 95762.30 89686.65 93545.33 NA 2978.54 2789.57 2909.59 NA
## 228 2025-06-11 96300.38 89099.61 91327.14 NA 2995.28 2771.31 2840.59 NA
## 229 2025-07-11 94236.82 90745.66 93863.69 NA 2931.09 2822.51 2919.49 NA
## 230 2025-08-10 99769.34 91285.91 99307.72 NA 3103.17 2839.31 3088.82 NA
## 231 2025-09-09 112503.29 98936.72 110940.74 NA 3499.24 3077.28 3450.64 NA
## 232 2025-10-09 121008.23 107289.14 111186.39 NA 3763.78 3337.07 3458.28 NA
## 233 2025-11-08 117926.76 110868.01 116046.12 NA 3667.93 3448.38 3609.44 NA
## 234 2025-12-08 124262.47 115174.10 123606.80 NA 3864.99 3582.31 3844.60 NA
## 235 2026-01-07 150118.89 119509.20 128420.01 NA 4669.22 3717.15 3994.31 NA
## 236 2026-02-06 148807.40 127172.65 143135.23 NA 4628.43 3955.51 4452.00 NA
## 237 2026-03-08 144582.44 114324.11 129792.45 NA 4497.02 3555.88 4037.00 NA
## 238 2026-04-07 133593.95 123890.12 128597.38 NA 4155.24 3853.41 3999.83 NA
## 239 2026-05-07 130310.09 120319.48 120799.08 NA 4053.10 3742.35 3757.27 NA
## 240 2026-06-06 121458.04 116199.23 116662.20 NA 3777.77 3614.20 3628.60 NA
## Cijena LogReturn Promjena
## 1 484.14 NA NA
## 2 471.04 -0.0274311050 -13.10
## 3 483.41 0.0259221388 12.37
## 4 508.85 0.0512881228 25.44
## 5 491.65 -0.0343861964 -17.20
## 6 510.32 0.0372708987 18.67
## 7 490.10 -0.0404285280 -20.22
## 8 489.82 -0.0005714752 -0.28
## 9 484.22 -0.0114986278 -5.60
## 10 495.17 0.0223617891 10.95
## 11 509.51 0.0285483416 14.34
## 12 529.15 0.0378224660 19.64
## 13 545.02 0.0295505457 15.87
## 14 551.84 0.0124356580 6.82
## 15 606.24 0.0940177981 54.40
## 16 633.72 0.0443312692 27.48
## 17 634.04 0.0005048274 0.32
## 18 589.18 -0.0733803042 -44.86
## 19 571.68 -0.0301523454 -17.50
## 20 571.01 -0.0011726716 -0.67
## 21 590.43 0.0334443624 19.42
## 22 570.77 -0.0338647586 -19.66
## 23 566.13 -0.0081625926 -4.64
## 24 655.14 0.1460252194 89.01
## 25 577.33 -0.1264349265 -77.81
## 26 594.76 0.0297439361 17.43
## 27 628.32 0.0548916280 33.56
## 28 704.53 0.1144813230 76.21
## 29 742.15 0.0520204652 37.62
## 30 659.24 -0.1184637227 -82.91
## 31 674.72 0.0232101336 15.48
## 32 690.48 0.0230892179 15.76
## 33 667.02 -0.0345669774 -23.46
## 34 663.53 -0.0052459630 -3.49
## 35 684.40 0.0309684745 20.87
## 36 687.84 0.0050137107 3.44
## 37 709.17 0.0305390194 21.33
## 38 793.05 0.1117909992 83.88
## 39 766.03 -0.0346649379 -27.02
## 40 779.86 0.0178930829 13.83
## 41 824.73 0.0559416436 44.87
## 42 823.03 -0.0020634080 -1.70
## 43 887.25 0.0751341395 64.22
## 44 985.49 0.1050121879 98.24
## 45 1018.41 0.0328588871 32.92
## 46 893.93 -0.1303703942 -124.48
## 47 970.39 0.0820705802 76.46
## 48 962.62 -0.0080393188 -7.77
## 49 962.95 0.0003427557 0.33
## 50 1030.26 0.0675649872 67.31
## 51 1050.72 0.0196644459 20.46
## 52 973.85 -0.0759736348 -76.87
## 53 1015.90 0.0422729104 42.05
## 54 1015.12 -0.0007680870 -0.78
## 55 1035.62 0.0199934491 20.50
## 56 1084.99 0.0465704892 49.37
## 57 1058.58 -0.0246423830 -26.41
## 58 1125.22 0.0610501847 66.64
## 59 1272.81 0.1232484826 147.59
## 60 1289.98 0.0133996597 17.17
## 61 1181.61 -0.0877487991 -108.37
## 62 1245.05 0.0522977745 63.44
## 63 1237.23 -0.0063006799 -7.82
## 64 1289.07 0.0410460183 51.84
## 65 1310.82 0.0167318674 21.75
## 66 1246.55 -0.0502731601 -64.27
## 67 1249.29 0.0021956544 2.74
## 68 1246.32 -0.0023801807 -2.97
## 69 1292.75 0.0365765231 46.43
## 70 1282.20 -0.0081943797 -10.55
## 71 1310.23 0.0216253418 28.03
## 72 1353.32 0.0323581384 43.09
## 73 1335.13 -0.0135321673 -18.19
## 74 1342.39 0.0054229420 7.26
## 75 1288.68 -0.0408331687 -53.71
## 76 1247.35 -0.0325971377 -41.33
## 77 1222.32 -0.0202706087 -25.03
## 78 1217.77 -0.0037293750 -4.55
## 79 1137.98 -0.0677665564 -79.79
## 80 1105.75 -0.0287309231 -32.23
## 81 1037.62 -0.0635942087 -68.13
## 82 984.57 -0.0524799104 -53.05
## 83 1003.13 0.0186753931 18.56
## 84 1025.44 0.0219966770 22.31
## 85 940.32 -0.0866568249 -85.12
## 86 964.70 0.0255969293 24.38
## 87 916.41 -0.0513533094 -48.29
## 88 903.31 -0.0143980682 -13.10
## 89 929.44 0.0285164596 26.13
## 90 966.09 0.0386747433 36.65
## 91 946.55 -0.0204332021 -19.54
## 92 936.78 -0.0103753327 -9.77
## 93 918.98 -0.0191841034 -17.80
## 94 968.07 0.0520400394 49.09
## 95 981.69 0.0139711775 13.62
## 96 979.71 -0.0020189667 -1.98
## 97 954.35 -0.0262261290 -25.36
## 98 916.52 -0.0404465913 -37.83
## 99 970.42 0.0571450783 53.90
## 100 990.75 0.0207332646 20.33
## 101 1101.11 0.1056118088 110.36
## 102 1088.01 -0.0119684224 -13.10
## 103 1096.40 0.0076817459 8.39
## 104 1066.05 -0.0280718565 -30.35
## 105 1052.97 -0.0123454862 -13.08
## 106 1051.32 -0.0015682252 -1.65
## 107 996.90 -0.0531513324 -54.42
## 108 1008.48 0.0115490617 11.58
## 109 995.21 -0.0132457556 -13.27
## 110 1037.65 0.0417600498 42.44
## 111 1006.93 -0.0300524431 -30.72
## 112 971.18 -0.0361495499 -35.75
## 113 1032.25 0.0609843378 61.07
## 114 1118.02 0.0798183779 85.77
## 115 1097.69 -0.0183512919 -20.33
## 116 1114.42 0.0151261185 16.73
## 117 1091.55 -0.0207353857 -22.87
## 118 1202.74 0.0970035828 111.19
## 119 1210.62 0.0065303378 7.88
## 120 1179.95 -0.0256605604 -30.67
## 121 1191.03 0.0093464143 11.08
## 122 1170.76 -0.0171653684 -20.27
## 123 1123.38 -0.0413111127 -47.38
## 124 1097.86 -0.0229791675 -25.52
## 125 1131.60 0.0302697300 33.74
## 126 1172.39 0.0354118399 40.79
## 127 1151.71 -0.0177966058 -20.68
## 128 1171.84 0.0173273686 20.13
## 129 1119.12 -0.0460325009 -52.72
## 130 1122.39 0.0029176781 3.27
## 131 1076.13 -0.0420890680 -46.26
## 132 1093.64 0.0161403099 17.51
## 133 1093.85 0.0001920009 0.21
## 134 1086.82 -0.0064475820 -7.03
## 135 1102.38 0.0142154778 15.56
## 136 1066.03 -0.0335300109 -36.35
## 137 1085.44 0.0180439668 19.41
## 138 1085.93 0.0004513280 0.49
## 139 1067.68 -0.0169486925 -18.25
## 140 1091.15 0.0217441158 23.47
## 141 1098.74 0.0069318828 7.59
## 142 1105.06 0.0057355634 6.32
## 143 1053.13 -0.0481329498 -51.93
## 144 1033.51 -0.0188059064 -19.62
## 145 1027.00 -0.0063188450 -6.51
## 146 1059.24 0.0309097389 32.24
## 147 1070.56 0.0106302062 11.32
## 148 1095.53 0.0230563884 24.97
## 149 1124.03 0.0256821771 28.50
## 150 1156.11 0.0281404799 32.08
## 151 1146.37 -0.0084604931 -9.74
## 152 1142.10 -0.0037317552 -4.27
## 153 1158.93 0.0146284926 16.83
## 154 1180.95 0.0188220337 22.02
## 155 1256.08 0.0616765610 75.13
## 156 1339.50 0.0643006497 83.42
## 157 1345.82 0.0047070827 6.32
## 158 1356.96 0.0082434109 11.14
## 159 1324.23 -0.0244157452 -32.73
## 160 1320.67 -0.0026919749 -3.56
## 161 1401.93 0.0597106751 81.26
## 162 1434.27 0.0228061503 32.34
## 163 1492.82 0.0400109397 58.55
## 164 1513.25 0.0135927071 20.43
## 165 1581.96 0.0444049288 68.71
## 166 1492.60 -0.0581450189 -89.36
## 167 1578.68 0.0560694891 86.08
## 168 1715.37 0.0830397460 136.69
## 169 1633.38 -0.0489773133 -81.99
## 170 1623.84 -0.0058577728 -9.54
## 171 1627.67 0.0023558296 3.83
## 172 1515.12 -0.0716549006 -112.55
## 173 1554.30 0.0255306398 39.18
## 174 1539.23 -0.0097429921 -15.07
## 175 1419.78 -0.0807803614 -119.45
## 176 1472.98 0.0367856296 53.20
## 177 1470.94 -0.0013859074 -2.04
## 178 1554.27 0.0551043298 83.33
## 179 1498.98 -0.0362211052 -55.29
## 180 1528.15 0.0192729767 29.17
## 181 1534.86 0.0043813182 6.71
## 182 1490.30 -0.0294617297 -44.56
## 183 1543.09 0.0348094576 52.79
## 184 1589.99 0.0299408273 46.90
## 185 1596.99 0.0043928806 7.00
## 186 1612.66 0.0097643821 15.67
## 187 1677.21 0.0392467090 64.55
## 188 1750.67 0.0428668732 73.46
## 189 1786.66 0.0203493833 35.99
## 190 1727.07 -0.0339216240 -59.59
## 191 1733.06 0.0034623011 5.99
## 192 1696.24 -0.0214745954 -36.82
## 193 1761.65 0.0378368331 65.41
## 194 1696.42 -0.0377307217 -65.23
## 195 1671.16 -0.0150021521 -25.26
## 196 1682.11 0.0065309617 10.95
## 197 1694.00 0.0070436385 11.89
## 198 1774.00 0.0461442877 80.00
## 199 1723.37 -0.0289552077 -50.63
## 200 1838.03 0.0644126697 114.66
## 201 1805.41 -0.0179066331 -32.62
## 202 1822.17 0.0092403857 16.76
## 203 1759.46 -0.0350211548 -62.71
## 204 1763.19 0.0021177247 3.73
## 205 1737.84 -0.0144817057 -25.35
## 206 1808.26 0.0397220942 70.42
## 207 1867.64 0.0323105448 59.38
## 208 1814.62 -0.0287995223 -53.02
## 209 1856.33 0.0227253409 41.71
## 210 1846.27 -0.0054340327 -10.06
## 211 1868.24 0.0118294236 21.97
## 212 1981.58 0.0588976951 113.34
## 213 2243.20 0.1240089116 261.62
## 214 2188.10 -0.0248698305 -55.10
## 215 2179.11 -0.0041170508 -8.99
## 216 2222.91 0.0199006118 43.80
## 217 2224.50 0.0007150229 1.59
## 218 2328.13 0.0455331990 103.63
## 219 2424.47 0.0405475736 96.34
## 220 2448.02 0.0096665907 23.55
## 221 2559.41 0.0444972286 111.39
## 222 2625.64 0.0255479127 66.23
## 223 2832.46 0.0758209162 206.82
## 224 2699.12 -0.0482197981 -133.34
## 225 2848.25 0.0537789766 149.13
## 226 2927.73 0.0275226081 79.48
## 227 2909.59 -0.0062152009 -18.14
## 228 2840.59 -0.0240004007 -69.00
## 229 2919.49 0.0273971664 78.90
## 230 3088.82 0.0563801975 169.33
## 231 3450.64 0.1107705801 361.82
## 232 3458.28 0.0022116346 7.64
## 233 3609.44 0.0427812800 151.16
## 234 3844.60 0.0631169307 235.16
## 235 3994.31 0.0382012821 149.71
## 236 4452.00 0.1084825850 457.69
## 237 4037.00 -0.0978515915 -415.00
## 238 3999.83 -0.0092499817 -37.17
## 239 3757.27 -0.0625592304 -242.56
## 240 3628.60 -0.0348457309 -128.67mjesecni_prosjek <- mean(mjesecni$LogReturn, na.rm = TRUE)
mjesecna_stand_dev <- sd(mjesecni$LogReturn, na.rm = TRUE)
mjesecni_prosjek## [1] 0.008427732## [1] 0.04416502## Prosjecni mjesecni log-return (mu) = 0.00843## Standardna devijacija (sigma) = 0.04417startna_cijena <- tail(dnevni$Cijena, 1)
n_koraka <- 360
n_sim <- 1000
datumi_sim <- seq(max(dnevni$Datum) + months(1), by = "month",
length.out = n_koraka)
startna_cijena## [1] 3623.14## [1] "2026-07-10" "2026-08-10" "2026-09-10" "2026-10-10" "2026-11-10"
## [6] "2026-12-10" "2027-01-10" "2027-02-10" "2027-03-10" "2027-04-10"
## [11] "2027-05-10" "2027-06-10" "2027-07-10" "2027-08-10" "2027-09-10"
## [16] "2027-10-10" "2027-11-10" "2027-12-10" "2028-01-10" "2028-02-10"
## [21] "2028-03-10" "2028-04-10" "2028-05-10" "2028-06-10" "2028-07-10"
## [26] "2028-08-10" "2028-09-10" "2028-10-10" "2028-11-10" "2028-12-10"
## [31] "2029-01-10" "2029-02-10" "2029-03-10" "2029-04-10" "2029-05-10"
## [36] "2029-06-10" "2029-07-10" "2029-08-10" "2029-09-10" "2029-10-10"
## [41] "2029-11-10" "2029-12-10" "2030-01-10" "2030-02-10" "2030-03-10"
## [46] "2030-04-10" "2030-05-10" "2030-06-10" "2030-07-10" "2030-08-10"
## [51] "2030-09-10" "2030-10-10" "2030-11-10" "2030-12-10" "2031-01-10"
## [56] "2031-02-10" "2031-03-10" "2031-04-10" "2031-05-10" "2031-06-10"
## [61] "2031-07-10" "2031-08-10" "2031-09-10" "2031-10-10" "2031-11-10"
## [66] "2031-12-10" "2032-01-10" "2032-02-10" "2032-03-10" "2032-04-10"
## [71] "2032-05-10" "2032-06-10" "2032-07-10" "2032-08-10" "2032-09-10"
## [76] "2032-10-10" "2032-11-10" "2032-12-10" "2033-01-10" "2033-02-10"
## [81] "2033-03-10" "2033-04-10" "2033-05-10" "2033-06-10" "2033-07-10"
## [86] "2033-08-10" "2033-09-10" "2033-10-10" "2033-11-10" "2033-12-10"
## [91] "2034-01-10" "2034-02-10" "2034-03-10" "2034-04-10" "2034-05-10"
## [96] "2034-06-10" "2034-07-10" "2034-08-10" "2034-09-10" "2034-10-10"
## [101] "2034-11-10" "2034-12-10" "2035-01-10" "2035-02-10" "2035-03-10"
## [106] "2035-04-10" "2035-05-10" "2035-06-10" "2035-07-10" "2035-08-10"
## [111] "2035-09-10" "2035-10-10" "2035-11-10" "2035-12-10" "2036-01-10"
## [116] "2036-02-10" "2036-03-10" "2036-04-10" "2036-05-10" "2036-06-10"
## [121] "2036-07-10" "2036-08-10" "2036-09-10" "2036-10-10" "2036-11-10"
## [126] "2036-12-10" "2037-01-10" "2037-02-10" "2037-03-10" "2037-04-10"
## [131] "2037-05-10" "2037-06-10" "2037-07-10" "2037-08-10" "2037-09-10"
## [136] "2037-10-10" "2037-11-10" "2037-12-10" "2038-01-10" "2038-02-10"
## [141] "2038-03-10" "2038-04-10" "2038-05-10" "2038-06-10" "2038-07-10"
## [146] "2038-08-10" "2038-09-10" "2038-10-10" "2038-11-10" "2038-12-10"
## [151] "2039-01-10" "2039-02-10" "2039-03-10" "2039-04-10" "2039-05-10"
## [156] "2039-06-10" "2039-07-10" "2039-08-10" "2039-09-10" "2039-10-10"
## [161] "2039-11-10" "2039-12-10" "2040-01-10" "2040-02-10" "2040-03-10"
## [166] "2040-04-10" "2040-05-10" "2040-06-10" "2040-07-10" "2040-08-10"
## [171] "2040-09-10" "2040-10-10" "2040-11-10" "2040-12-10" "2041-01-10"
## [176] "2041-02-10" "2041-03-10" "2041-04-10" "2041-05-10" "2041-06-10"
## [181] "2041-07-10" "2041-08-10" "2041-09-10" "2041-10-10" "2041-11-10"
## [186] "2041-12-10" "2042-01-10" "2042-02-10" "2042-03-10" "2042-04-10"
## [191] "2042-05-10" "2042-06-10" "2042-07-10" "2042-08-10" "2042-09-10"
## [196] "2042-10-10" "2042-11-10" "2042-12-10" "2043-01-10" "2043-02-10"
## [201] "2043-03-10" "2043-04-10" "2043-05-10" "2043-06-10" "2043-07-10"
## [206] "2043-08-10" "2043-09-10" "2043-10-10" "2043-11-10" "2043-12-10"
## [211] "2044-01-10" "2044-02-10" "2044-03-10" "2044-04-10" "2044-05-10"
## [216] "2044-06-10" "2044-07-10" "2044-08-10" "2044-09-10" "2044-10-10"
## [221] "2044-11-10" "2044-12-10" "2045-01-10" "2045-02-10" "2045-03-10"
## [226] "2045-04-10" "2045-05-10" "2045-06-10" "2045-07-10" "2045-08-10"
## [231] "2045-09-10" "2045-10-10" "2045-11-10" "2045-12-10" "2046-01-10"
## [236] "2046-02-10" "2046-03-10" "2046-04-10" "2046-05-10" "2046-06-10"
## [241] "2046-07-10" "2046-08-10" "2046-09-10" "2046-10-10" "2046-11-10"
## [246] "2046-12-10" "2047-01-10" "2047-02-10" "2047-03-10" "2047-04-10"
## [251] "2047-05-10" "2047-06-10" "2047-07-10" "2047-08-10" "2047-09-10"
## [256] "2047-10-10" "2047-11-10" "2047-12-10" "2048-01-10" "2048-02-10"
## [261] "2048-03-10" "2048-04-10" "2048-05-10" "2048-06-10" "2048-07-10"
## [266] "2048-08-10" "2048-09-10" "2048-10-10" "2048-11-10" "2048-12-10"
## [271] "2049-01-10" "2049-02-10" "2049-03-10" "2049-04-10" "2049-05-10"
## [276] "2049-06-10" "2049-07-10" "2049-08-10" "2049-09-10" "2049-10-10"
## [281] "2049-11-10" "2049-12-10" "2050-01-10" "2050-02-10" "2050-03-10"
## [286] "2050-04-10" "2050-05-10" "2050-06-10" "2050-07-10" "2050-08-10"
## [291] "2050-09-10" "2050-10-10" "2050-11-10" "2050-12-10" "2051-01-10"
## [296] "2051-02-10" "2051-03-10" "2051-04-10" "2051-05-10" "2051-06-10"
## [301] "2051-07-10" "2051-08-10" "2051-09-10" "2051-10-10" "2051-11-10"
## [306] "2051-12-10" "2052-01-10" "2052-02-10" "2052-03-10" "2052-04-10"
## [311] "2052-05-10" "2052-06-10" "2052-07-10" "2052-08-10" "2052-09-10"
## [316] "2052-10-10" "2052-11-10" "2052-12-10" "2053-01-10" "2053-02-10"
## [321] "2053-03-10" "2053-04-10" "2053-05-10" "2053-06-10" "2053-07-10"
## [326] "2053-08-10" "2053-09-10" "2053-10-10" "2053-11-10" "2053-12-10"
## [331] "2054-01-10" "2054-02-10" "2054-03-10" "2054-04-10" "2054-05-10"
## [336] "2054-06-10" "2054-07-10" "2054-08-10" "2054-09-10" "2054-10-10"
## [341] "2054-11-10" "2054-12-10" "2055-01-10" "2055-02-10" "2055-03-10"
## [346] "2055-04-10" "2055-05-10" "2055-06-10" "2055-07-10" "2055-08-10"
## [351] "2055-09-10" "2055-10-10" "2055-11-10" "2055-12-10" "2056-01-10"
## [356] "2056-02-10" "2056-03-10" "2056-04-10" "2056-05-10" "2056-06-10"5 Model 1: Cobweb
5.1 Teorijska osnova i parametri
Cobweb model opisuje cjenovnu dinamiku tržišta s vremenskim pomakom između ponude i potražnje. Jednadžbe modela:
- Potražnja:
Qd(t) = a - b * P(t) - Ponuda:
Qs(t) = c + d * P(t - lag) - Ravnoteža:
P(t) = (a - c - d * P(t-lag)) / b
Uvjet stabilnosti: |d/b| < 1 — nagib ponude mora biti
manji od nagiba potražnje. Ekonomska logika: rudnici ne mogu brzo
povećati kapacitet, pa ponuda reagira sporije od potražnje.
skaliranje_cijene <- 1000
povijesna_ravnotezna_cijena <- mean(mjesecni$Cijena) / skaliranje_cijene
nagib_potraznje <- 1.2
nagib_ponude <- 0.9
slobodni_koef_potraznje <- povijesna_ravnotezna_cijena * (nagib_potraznje + 1)
slobodni_koef_ponude <- povijesna_ravnotezna_cijena * (1 - nagib_ponude)
povijesna_ravnotezna_cijena## [1] 1.361792ravnotezna_cijena <- (slobodni_koef_potraznje - slobodni_koef_ponude) /
(nagib_potraznje + nagib_ponude) * skaliranje_cijene
cat("Omjer d/b =", nagib_ponude / nagib_potraznje, "(mora biti < 1)\n")## Omjer d/b = 0.75 (mora biti < 1)## Ravnotežna cijena (P*): $ 1361.79 /oz5.2 Deterministička simulacija
lag_perioda <- 1
deterministicke_cijene <- numeric(n_koraka)
deterministicke_cijene[1] <- startna_cijena / skaliranje_cijene
for (t in 2:n_koraka) {
prijasnja_cijena <- deterministicke_cijene[max(1, t - lag_perioda)]
deterministicke_cijene[t] <- (slobodni_koef_potraznje - slobodni_koef_ponude -
nagib_ponude * prijasnja_cijena) / nagib_potraznje
}
df_cobweb_det <- data.frame(
t = 1:n_koraka,
Datum = datumi_sim,
Cijena = deterministicke_cijene * skaliranje_cijene,
Model = "Cobweb"
)
df_cobweb_det## t Datum Cijena Model
## 1 1 2026-07-10 3623.1400 Cobweb
## 2 2 2026-08-10 -334.2181 Cobweb
## 3 3 2026-09-10 2633.8005 Cobweb
## 4 4 2026-10-10 407.7865 Cobweb
## 5 5 2026-11-10 2077.2970 Cobweb
## 6 6 2026-12-10 825.1641 Cobweb
## 7 7 2027-01-10 1764.2638 Cobweb
## 8 8 2027-02-10 1059.9390 Cobweb
## 9 9 2027-03-10 1588.1826 Cobweb
## 10 10 2027-04-10 1191.9999 Cobweb
## 11 11 2027-05-10 1489.1369 Cobweb
## 12 12 2027-06-10 1266.2842 Cobweb
## 13 13 2027-07-10 1433.4237 Cobweb
## 14 14 2027-08-10 1308.0691 Cobweb
## 15 15 2027-09-10 1402.0851 Cobweb
## 16 16 2027-10-10 1331.5731 Cobweb
## 17 17 2027-11-10 1384.4571 Cobweb
## 18 18 2027-12-10 1344.7941 Cobweb
## 19 19 2028-01-10 1374.5413 Cobweb
## 20 20 2028-02-10 1352.2309 Cobweb
## 21 21 2028-03-10 1368.9637 Cobweb
## 22 22 2028-04-10 1356.4141 Cobweb
## 23 23 2028-05-10 1365.8263 Cobweb
## 24 24 2028-06-10 1358.7671 Cobweb
## 25 25 2028-07-10 1364.0615 Cobweb
## 26 26 2028-08-10 1360.0907 Cobweb
## 27 27 2028-09-10 1363.0688 Cobweb
## 28 28 2028-10-10 1360.8353 Cobweb
## 29 29 2028-11-10 1362.5104 Cobweb
## 30 30 2028-12-10 1361.2541 Cobweb
## 31 31 2029-01-10 1362.1963 Cobweb
## 32 32 2029-02-10 1361.4896 Cobweb
## 33 33 2029-03-10 1362.0197 Cobweb
## 34 34 2029-04-10 1361.6221 Cobweb
## 35 35 2029-05-10 1361.9203 Cobweb
## 36 36 2029-06-10 1361.6967 Cobweb
## 37 37 2029-07-10 1361.8644 Cobweb
## 38 38 2029-08-10 1361.7386 Cobweb
## 39 39 2029-09-10 1361.8329 Cobweb
## 40 40 2029-10-10 1361.7622 Cobweb
## 41 41 2029-11-10 1361.8152 Cobweb
## 42 42 2029-12-10 1361.7754 Cobweb
## 43 43 2030-01-10 1361.8053 Cobweb
## 44 44 2030-02-10 1361.7829 Cobweb
## 45 45 2030-03-10 1361.7997 Cobweb
## 46 46 2030-04-10 1361.7871 Cobweb
## 47 47 2030-05-10 1361.7965 Cobweb
## 48 48 2030-06-10 1361.7895 Cobweb
## 49 49 2030-07-10 1361.7948 Cobweb
## 50 50 2030-08-10 1361.7908 Cobweb
## 51 51 2030-09-10 1361.7938 Cobweb
## 52 52 2030-10-10 1361.7915 Cobweb
## 53 53 2030-11-10 1361.7932 Cobweb
## 54 54 2030-12-10 1361.7920 Cobweb
## 55 55 2031-01-10 1361.7929 Cobweb
## 56 56 2031-02-10 1361.7922 Cobweb
## 57 57 2031-03-10 1361.7927 Cobweb
## 58 58 2031-04-10 1361.7923 Cobweb
## 59 59 2031-05-10 1361.7926 Cobweb
## 60 60 2031-06-10 1361.7924 Cobweb
## 61 61 2031-07-10 1361.7926 Cobweb
## 62 62 2031-08-10 1361.7924 Cobweb
## 63 63 2031-09-10 1361.7925 Cobweb
## 64 64 2031-10-10 1361.7925 Cobweb
## 65 65 2031-11-10 1361.7925 Cobweb
## 66 66 2031-12-10 1361.7925 Cobweb
## 67 67 2032-01-10 1361.7925 Cobweb
## 68 68 2032-02-10 1361.7925 Cobweb
## 69 69 2032-03-10 1361.7925 Cobweb
## 70 70 2032-04-10 1361.7925 Cobweb
## 71 71 2032-05-10 1361.7925 Cobweb
## 72 72 2032-06-10 1361.7925 Cobweb
## 73 73 2032-07-10 1361.7925 Cobweb
## 74 74 2032-08-10 1361.7925 Cobweb
## 75 75 2032-09-10 1361.7925 Cobweb
## 76 76 2032-10-10 1361.7925 Cobweb
## 77 77 2032-11-10 1361.7925 Cobweb
## 78 78 2032-12-10 1361.7925 Cobweb
## 79 79 2033-01-10 1361.7925 Cobweb
## 80 80 2033-02-10 1361.7925 Cobweb
## 81 81 2033-03-10 1361.7925 Cobweb
## 82 82 2033-04-10 1361.7925 Cobweb
## 83 83 2033-05-10 1361.7925 Cobweb
## 84 84 2033-06-10 1361.7925 Cobweb
## 85 85 2033-07-10 1361.7925 Cobweb
## 86 86 2033-08-10 1361.7925 Cobweb
## 87 87 2033-09-10 1361.7925 Cobweb
## 88 88 2033-10-10 1361.7925 Cobweb
## 89 89 2033-11-10 1361.7925 Cobweb
## 90 90 2033-12-10 1361.7925 Cobweb
## 91 91 2034-01-10 1361.7925 Cobweb
## 92 92 2034-02-10 1361.7925 Cobweb
## 93 93 2034-03-10 1361.7925 Cobweb
## 94 94 2034-04-10 1361.7925 Cobweb
## 95 95 2034-05-10 1361.7925 Cobweb
## 96 96 2034-06-10 1361.7925 Cobweb
## 97 97 2034-07-10 1361.7925 Cobweb
## 98 98 2034-08-10 1361.7925 Cobweb
## 99 99 2034-09-10 1361.7925 Cobweb
## 100 100 2034-10-10 1361.7925 Cobweb
## 101 101 2034-11-10 1361.7925 Cobweb
## 102 102 2034-12-10 1361.7925 Cobweb
## 103 103 2035-01-10 1361.7925 Cobweb
## 104 104 2035-02-10 1361.7925 Cobweb
## 105 105 2035-03-10 1361.7925 Cobweb
## 106 106 2035-04-10 1361.7925 Cobweb
## 107 107 2035-05-10 1361.7925 Cobweb
## 108 108 2035-06-10 1361.7925 Cobweb
## 109 109 2035-07-10 1361.7925 Cobweb
## 110 110 2035-08-10 1361.7925 Cobweb
## 111 111 2035-09-10 1361.7925 Cobweb
## 112 112 2035-10-10 1361.7925 Cobweb
## 113 113 2035-11-10 1361.7925 Cobweb
## 114 114 2035-12-10 1361.7925 Cobweb
## 115 115 2036-01-10 1361.7925 Cobweb
## 116 116 2036-02-10 1361.7925 Cobweb
## 117 117 2036-03-10 1361.7925 Cobweb
## 118 118 2036-04-10 1361.7925 Cobweb
## 119 119 2036-05-10 1361.7925 Cobweb
## 120 120 2036-06-10 1361.7925 Cobweb
## 121 121 2036-07-10 1361.7925 Cobweb
## 122 122 2036-08-10 1361.7925 Cobweb
## 123 123 2036-09-10 1361.7925 Cobweb
## 124 124 2036-10-10 1361.7925 Cobweb
## 125 125 2036-11-10 1361.7925 Cobweb
## 126 126 2036-12-10 1361.7925 Cobweb
## 127 127 2037-01-10 1361.7925 Cobweb
## 128 128 2037-02-10 1361.7925 Cobweb
## 129 129 2037-03-10 1361.7925 Cobweb
## 130 130 2037-04-10 1361.7925 Cobweb
## 131 131 2037-05-10 1361.7925 Cobweb
## 132 132 2037-06-10 1361.7925 Cobweb
## 133 133 2037-07-10 1361.7925 Cobweb
## 134 134 2037-08-10 1361.7925 Cobweb
## 135 135 2037-09-10 1361.7925 Cobweb
## 136 136 2037-10-10 1361.7925 Cobweb
## 137 137 2037-11-10 1361.7925 Cobweb
## 138 138 2037-12-10 1361.7925 Cobweb
## 139 139 2038-01-10 1361.7925 Cobweb
## 140 140 2038-02-10 1361.7925 Cobweb
## 141 141 2038-03-10 1361.7925 Cobweb
## 142 142 2038-04-10 1361.7925 Cobweb
## 143 143 2038-05-10 1361.7925 Cobweb
## 144 144 2038-06-10 1361.7925 Cobweb
## 145 145 2038-07-10 1361.7925 Cobweb
## 146 146 2038-08-10 1361.7925 Cobweb
## 147 147 2038-09-10 1361.7925 Cobweb
## 148 148 2038-10-10 1361.7925 Cobweb
## 149 149 2038-11-10 1361.7925 Cobweb
## 150 150 2038-12-10 1361.7925 Cobweb
## 151 151 2039-01-10 1361.7925 Cobweb
## 152 152 2039-02-10 1361.7925 Cobweb
## 153 153 2039-03-10 1361.7925 Cobweb
## 154 154 2039-04-10 1361.7925 Cobweb
## 155 155 2039-05-10 1361.7925 Cobweb
## 156 156 2039-06-10 1361.7925 Cobweb
## 157 157 2039-07-10 1361.7925 Cobweb
## 158 158 2039-08-10 1361.7925 Cobweb
## 159 159 2039-09-10 1361.7925 Cobweb
## 160 160 2039-10-10 1361.7925 Cobweb
## 161 161 2039-11-10 1361.7925 Cobweb
## 162 162 2039-12-10 1361.7925 Cobweb
## 163 163 2040-01-10 1361.7925 Cobweb
## 164 164 2040-02-10 1361.7925 Cobweb
## 165 165 2040-03-10 1361.7925 Cobweb
## 166 166 2040-04-10 1361.7925 Cobweb
## 167 167 2040-05-10 1361.7925 Cobweb
## 168 168 2040-06-10 1361.7925 Cobweb
## 169 169 2040-07-10 1361.7925 Cobweb
## 170 170 2040-08-10 1361.7925 Cobweb
## 171 171 2040-09-10 1361.7925 Cobweb
## 172 172 2040-10-10 1361.7925 Cobweb
## 173 173 2040-11-10 1361.7925 Cobweb
## 174 174 2040-12-10 1361.7925 Cobweb
## 175 175 2041-01-10 1361.7925 Cobweb
## 176 176 2041-02-10 1361.7925 Cobweb
## 177 177 2041-03-10 1361.7925 Cobweb
## 178 178 2041-04-10 1361.7925 Cobweb
## 179 179 2041-05-10 1361.7925 Cobweb
## 180 180 2041-06-10 1361.7925 Cobweb
## 181 181 2041-07-10 1361.7925 Cobweb
## 182 182 2041-08-10 1361.7925 Cobweb
## 183 183 2041-09-10 1361.7925 Cobweb
## 184 184 2041-10-10 1361.7925 Cobweb
## 185 185 2041-11-10 1361.7925 Cobweb
## 186 186 2041-12-10 1361.7925 Cobweb
## 187 187 2042-01-10 1361.7925 Cobweb
## 188 188 2042-02-10 1361.7925 Cobweb
## 189 189 2042-03-10 1361.7925 Cobweb
## 190 190 2042-04-10 1361.7925 Cobweb
## 191 191 2042-05-10 1361.7925 Cobweb
## 192 192 2042-06-10 1361.7925 Cobweb
## 193 193 2042-07-10 1361.7925 Cobweb
## 194 194 2042-08-10 1361.7925 Cobweb
## 195 195 2042-09-10 1361.7925 Cobweb
## 196 196 2042-10-10 1361.7925 Cobweb
## 197 197 2042-11-10 1361.7925 Cobweb
## 198 198 2042-12-10 1361.7925 Cobweb
## 199 199 2043-01-10 1361.7925 Cobweb
## 200 200 2043-02-10 1361.7925 Cobweb
## 201 201 2043-03-10 1361.7925 Cobweb
## 202 202 2043-04-10 1361.7925 Cobweb
## 203 203 2043-05-10 1361.7925 Cobweb
## 204 204 2043-06-10 1361.7925 Cobweb
## 205 205 2043-07-10 1361.7925 Cobweb
## 206 206 2043-08-10 1361.7925 Cobweb
## 207 207 2043-09-10 1361.7925 Cobweb
## 208 208 2043-10-10 1361.7925 Cobweb
## 209 209 2043-11-10 1361.7925 Cobweb
## 210 210 2043-12-10 1361.7925 Cobweb
## 211 211 2044-01-10 1361.7925 Cobweb
## 212 212 2044-02-10 1361.7925 Cobweb
## 213 213 2044-03-10 1361.7925 Cobweb
## 214 214 2044-04-10 1361.7925 Cobweb
## 215 215 2044-05-10 1361.7925 Cobweb
## 216 216 2044-06-10 1361.7925 Cobweb
## 217 217 2044-07-10 1361.7925 Cobweb
## 218 218 2044-08-10 1361.7925 Cobweb
## 219 219 2044-09-10 1361.7925 Cobweb
## 220 220 2044-10-10 1361.7925 Cobweb
## 221 221 2044-11-10 1361.7925 Cobweb
## 222 222 2044-12-10 1361.7925 Cobweb
## 223 223 2045-01-10 1361.7925 Cobweb
## 224 224 2045-02-10 1361.7925 Cobweb
## 225 225 2045-03-10 1361.7925 Cobweb
## 226 226 2045-04-10 1361.7925 Cobweb
## 227 227 2045-05-10 1361.7925 Cobweb
## 228 228 2045-06-10 1361.7925 Cobweb
## 229 229 2045-07-10 1361.7925 Cobweb
## 230 230 2045-08-10 1361.7925 Cobweb
## 231 231 2045-09-10 1361.7925 Cobweb
## 232 232 2045-10-10 1361.7925 Cobweb
## 233 233 2045-11-10 1361.7925 Cobweb
## 234 234 2045-12-10 1361.7925 Cobweb
## 235 235 2046-01-10 1361.7925 Cobweb
## 236 236 2046-02-10 1361.7925 Cobweb
## 237 237 2046-03-10 1361.7925 Cobweb
## 238 238 2046-04-10 1361.7925 Cobweb
## 239 239 2046-05-10 1361.7925 Cobweb
## 240 240 2046-06-10 1361.7925 Cobweb
## 241 241 2046-07-10 1361.7925 Cobweb
## 242 242 2046-08-10 1361.7925 Cobweb
## 243 243 2046-09-10 1361.7925 Cobweb
## 244 244 2046-10-10 1361.7925 Cobweb
## 245 245 2046-11-10 1361.7925 Cobweb
## 246 246 2046-12-10 1361.7925 Cobweb
## 247 247 2047-01-10 1361.7925 Cobweb
## 248 248 2047-02-10 1361.7925 Cobweb
## 249 249 2047-03-10 1361.7925 Cobweb
## 250 250 2047-04-10 1361.7925 Cobweb
## 251 251 2047-05-10 1361.7925 Cobweb
## 252 252 2047-06-10 1361.7925 Cobweb
## 253 253 2047-07-10 1361.7925 Cobweb
## 254 254 2047-08-10 1361.7925 Cobweb
## 255 255 2047-09-10 1361.7925 Cobweb
## 256 256 2047-10-10 1361.7925 Cobweb
## 257 257 2047-11-10 1361.7925 Cobweb
## 258 258 2047-12-10 1361.7925 Cobweb
## 259 259 2048-01-10 1361.7925 Cobweb
## 260 260 2048-02-10 1361.7925 Cobweb
## 261 261 2048-03-10 1361.7925 Cobweb
## 262 262 2048-04-10 1361.7925 Cobweb
## 263 263 2048-05-10 1361.7925 Cobweb
## 264 264 2048-06-10 1361.7925 Cobweb
## 265 265 2048-07-10 1361.7925 Cobweb
## 266 266 2048-08-10 1361.7925 Cobweb
## 267 267 2048-09-10 1361.7925 Cobweb
## 268 268 2048-10-10 1361.7925 Cobweb
## 269 269 2048-11-10 1361.7925 Cobweb
## 270 270 2048-12-10 1361.7925 Cobweb
## 271 271 2049-01-10 1361.7925 Cobweb
## 272 272 2049-02-10 1361.7925 Cobweb
## 273 273 2049-03-10 1361.7925 Cobweb
## 274 274 2049-04-10 1361.7925 Cobweb
## 275 275 2049-05-10 1361.7925 Cobweb
## 276 276 2049-06-10 1361.7925 Cobweb
## 277 277 2049-07-10 1361.7925 Cobweb
## 278 278 2049-08-10 1361.7925 Cobweb
## 279 279 2049-09-10 1361.7925 Cobweb
## 280 280 2049-10-10 1361.7925 Cobweb
## 281 281 2049-11-10 1361.7925 Cobweb
## 282 282 2049-12-10 1361.7925 Cobweb
## 283 283 2050-01-10 1361.7925 Cobweb
## 284 284 2050-02-10 1361.7925 Cobweb
## 285 285 2050-03-10 1361.7925 Cobweb
## 286 286 2050-04-10 1361.7925 Cobweb
## 287 287 2050-05-10 1361.7925 Cobweb
## 288 288 2050-06-10 1361.7925 Cobweb
## 289 289 2050-07-10 1361.7925 Cobweb
## 290 290 2050-08-10 1361.7925 Cobweb
## 291 291 2050-09-10 1361.7925 Cobweb
## 292 292 2050-10-10 1361.7925 Cobweb
## 293 293 2050-11-10 1361.7925 Cobweb
## 294 294 2050-12-10 1361.7925 Cobweb
## 295 295 2051-01-10 1361.7925 Cobweb
## 296 296 2051-02-10 1361.7925 Cobweb
## 297 297 2051-03-10 1361.7925 Cobweb
## 298 298 2051-04-10 1361.7925 Cobweb
## 299 299 2051-05-10 1361.7925 Cobweb
## 300 300 2051-06-10 1361.7925 Cobweb
## 301 301 2051-07-10 1361.7925 Cobweb
## 302 302 2051-08-10 1361.7925 Cobweb
## 303 303 2051-09-10 1361.7925 Cobweb
## 304 304 2051-10-10 1361.7925 Cobweb
## 305 305 2051-11-10 1361.7925 Cobweb
## 306 306 2051-12-10 1361.7925 Cobweb
## 307 307 2052-01-10 1361.7925 Cobweb
## 308 308 2052-02-10 1361.7925 Cobweb
## 309 309 2052-03-10 1361.7925 Cobweb
## 310 310 2052-04-10 1361.7925 Cobweb
## 311 311 2052-05-10 1361.7925 Cobweb
## 312 312 2052-06-10 1361.7925 Cobweb
## 313 313 2052-07-10 1361.7925 Cobweb
## 314 314 2052-08-10 1361.7925 Cobweb
## 315 315 2052-09-10 1361.7925 Cobweb
## 316 316 2052-10-10 1361.7925 Cobweb
## 317 317 2052-11-10 1361.7925 Cobweb
## 318 318 2052-12-10 1361.7925 Cobweb
## 319 319 2053-01-10 1361.7925 Cobweb
## 320 320 2053-02-10 1361.7925 Cobweb
## 321 321 2053-03-10 1361.7925 Cobweb
## 322 322 2053-04-10 1361.7925 Cobweb
## 323 323 2053-05-10 1361.7925 Cobweb
## 324 324 2053-06-10 1361.7925 Cobweb
## 325 325 2053-07-10 1361.7925 Cobweb
## 326 326 2053-08-10 1361.7925 Cobweb
## 327 327 2053-09-10 1361.7925 Cobweb
## 328 328 2053-10-10 1361.7925 Cobweb
## 329 329 2053-11-10 1361.7925 Cobweb
## 330 330 2053-12-10 1361.7925 Cobweb
## 331 331 2054-01-10 1361.7925 Cobweb
## 332 332 2054-02-10 1361.7925 Cobweb
## 333 333 2054-03-10 1361.7925 Cobweb
## 334 334 2054-04-10 1361.7925 Cobweb
## 335 335 2054-05-10 1361.7925 Cobweb
## 336 336 2054-06-10 1361.7925 Cobweb
## 337 337 2054-07-10 1361.7925 Cobweb
## 338 338 2054-08-10 1361.7925 Cobweb
## 339 339 2054-09-10 1361.7925 Cobweb
## 340 340 2054-10-10 1361.7925 Cobweb
## 341 341 2054-11-10 1361.7925 Cobweb
## 342 342 2054-12-10 1361.7925 Cobweb
## 343 343 2055-01-10 1361.7925 Cobweb
## 344 344 2055-02-10 1361.7925 Cobweb
## 345 345 2055-03-10 1361.7925 Cobweb
## 346 346 2055-04-10 1361.7925 Cobweb
## 347 347 2055-05-10 1361.7925 Cobweb
## 348 348 2055-06-10 1361.7925 Cobweb
## 349 349 2055-07-10 1361.7925 Cobweb
## 350 350 2055-08-10 1361.7925 Cobweb
## 351 351 2055-09-10 1361.7925 Cobweb
## 352 352 2055-10-10 1361.7925 Cobweb
## 353 353 2055-11-10 1361.7925 Cobweb
## 354 354 2055-12-10 1361.7925 Cobweb
## 355 355 2056-01-10 1361.7925 Cobweb
## 356 356 2056-02-10 1361.7925 Cobweb
## 357 357 2056-03-10 1361.7925 Cobweb
## 358 358 2056-04-10 1361.7925 Cobweb
## 359 359 2056-05-10 1361.7925 Cobweb
## 360 360 2056-06-10 1361.7925 Cobweb5.3 Monte Carlo simulacija
MC_cobweb <- matrix(NA, nrow = n_sim, ncol = n_koraka)
for (i in 1:n_sim) {
mc_cijene <- numeric(n_koraka)
mc_cijene[1] <- startna_cijena / skaliranje_cijene
for (t in 2:n_koraka) {
prijasnja_cijena <- mc_cijene[max(1, t - lag_perioda)]
sok <- rnorm(1, mean = mjesecni_prosjek, sd = mjesecna_stand_dev)
mc_cijene[t] <- (slobodni_koef_potraznje - slobodni_koef_ponude -
nagib_ponude * prijasnja_cijena) / nagib_potraznje * exp(sok)
}
MC_cobweb[i, ] <- mc_cijene * skaliranje_cijene
}
df_mc_cobweb <- data.frame(
Datum = datumi_sim,
q05 = apply(MC_cobweb, 2, quantile, 0.05),
q25 = apply(MC_cobweb, 2, quantile, 0.25),
q50 = apply(MC_cobweb, 2, quantile, 0.50),
q75 = apply(MC_cobweb, 2, quantile, 0.75),
q95 = apply(MC_cobweb, 2, quantile, 0.95),
Model = "Cobweb"
)
df_mc_cobweb## Datum q05 q25 q50 q75 q95 Model
## 1 2026-07-10 3623.1400 3623.1400 3623.1400 3623.1400 3623.1400 Cobweb
## 2 2026-08-10 -360.7346 -346.5662 -336.9221 -327.4512 -314.5450 Cobweb
## 3 2026-09-10 2469.6705 2576.9315 2655.0878 2736.2738 2840.8888 Cobweb
## 4 2026-10-10 250.1411 332.5595 394.2039 454.0573 535.6959 Cobweb
## 5 2026-11-10 1915.4137 2028.3238 2098.8843 2174.8978 2293.8816 Cobweb
## 6 2026-12-10 651.9253 753.0653 817.1381 876.6691 974.1923 Cobweb
## 7 2027-01-10 1618.8849 1715.4120 1785.1579 1858.4108 1963.4374 Cobweb
## 8 2027-02-10 902.3710 989.3275 1049.2209 1114.5310 1213.9218 Cobweb
## 9 2027-03-10 1457.8764 1540.8180 1609.2009 1671.9426 1786.5919 Cobweb
## 10 2027-04-10 1032.7964 1124.5345 1187.9619 1251.1345 1340.0047 Cobweb
## 11 2027-05-10 1353.9348 1441.0870 1504.2953 1572.6305 1672.5446 Cobweb
## 12 2027-06-10 1110.4617 1206.2743 1261.8186 1325.7891 1421.1349 Cobweb
## 13 2027-07-10 1303.4426 1381.3056 1448.0778 1510.2742 1594.5704 Cobweb
## 14 2027-08-10 1152.9892 1248.5926 1306.1514 1368.0807 1469.1919 Cobweb
## 15 2027-09-10 1262.4818 1349.9023 1416.3059 1476.6134 1579.4770 Cobweb
## 16 2027-10-10 1181.5315 1275.2045 1337.0459 1395.0552 1489.1108 Cobweb
## 17 2027-11-10 1244.2584 1331.4414 1393.2872 1458.4153 1551.2230 Cobweb
## 18 2027-12-10 1208.1519 1285.1700 1346.1071 1410.5053 1510.6083 Cobweb
## 19 2028-01-10 1236.0024 1323.7822 1385.5535 1453.1143 1543.4029 Cobweb
## 20 2028-02-10 1204.9241 1290.9951 1354.5548 1417.9095 1502.1937 Cobweb
## 21 2028-03-10 1234.0326 1316.9524 1376.9341 1442.8072 1530.4543 Cobweb
## 22 2028-04-10 1207.4829 1288.3697 1355.8036 1416.0859 1503.5247 Cobweb
## 23 2028-05-10 1220.6208 1314.4211 1379.7799 1437.9055 1524.7503 Cobweb
## 24 2028-06-10 1214.8263 1298.4627 1357.1116 1424.9664 1521.9430 Cobweb
## 25 2028-07-10 1220.6081 1307.7525 1368.6391 1434.3595 1532.7253 Cobweb
## 26 2028-08-10 1204.4702 1299.5165 1368.2687 1432.5476 1533.0465 Cobweb
## 27 2028-09-10 1220.2800 1304.4918 1367.6252 1429.5648 1526.5644 Cobweb
## 28 2028-10-10 1211.4357 1304.1972 1370.5365 1431.8045 1528.1255 Cobweb
## 29 2028-11-10 1213.1384 1304.3058 1366.5827 1430.3958 1530.5917 Cobweb
## 30 2028-12-10 1212.7599 1305.3966 1370.2437 1431.1442 1523.7836 Cobweb
## 31 2029-01-10 1214.9842 1305.7650 1366.4946 1430.8433 1520.2892 Cobweb
## 32 2029-02-10 1219.7146 1305.6917 1367.3932 1432.7831 1525.9113 Cobweb
## 33 2029-03-10 1219.7840 1305.1053 1363.0337 1430.3083 1532.4311 Cobweb
## 34 2029-04-10 1227.3974 1307.8506 1370.3922 1434.1169 1523.6302 Cobweb
## 35 2029-05-10 1211.1275 1309.1934 1369.1629 1428.4708 1515.5038 Cobweb
## 36 2029-06-10 1217.4720 1301.6815 1365.5614 1432.5522 1524.7923 Cobweb
## 37 2029-07-10 1225.9879 1303.6982 1365.7775 1429.7327 1512.0741 Cobweb
## 38 2029-08-10 1221.4488 1311.2392 1372.4988 1432.7776 1517.8550 Cobweb
## 39 2029-09-10 1219.3546 1304.4529 1362.4744 1429.8781 1519.7188 Cobweb
## 40 2029-10-10 1217.0536 1303.3844 1365.9837 1433.7129 1528.3781 Cobweb
## 41 2029-11-10 1215.6694 1304.2241 1370.2463 1433.7174 1537.4687 Cobweb
## 42 2029-12-10 1210.8461 1303.2981 1365.8493 1428.8667 1519.4372 Cobweb
## 43 2030-01-10 1221.1003 1306.7154 1362.9679 1427.0295 1529.7202 Cobweb
## 44 2030-02-10 1226.8725 1305.0831 1364.0722 1434.0930 1521.4349 Cobweb
## 45 2030-03-10 1211.6203 1304.6497 1371.0342 1434.9766 1525.1452 Cobweb
## 46 2030-04-10 1210.7502 1300.1470 1364.9413 1430.6227 1518.1000 Cobweb
## 47 2030-05-10 1212.7706 1306.9639 1373.1424 1439.2062 1529.4020 Cobweb
## 48 2030-06-10 1222.4632 1304.3852 1369.1403 1430.6490 1518.5316 Cobweb
## 49 2030-07-10 1213.9145 1303.2184 1367.2690 1426.6044 1520.2960 Cobweb
## 50 2030-08-10 1229.2812 1306.6939 1372.3849 1433.2821 1524.7645 Cobweb
## 51 2030-09-10 1220.1260 1309.2349 1366.3762 1427.2544 1521.1178 Cobweb
## 52 2030-10-10 1229.0480 1309.2421 1373.3725 1439.0080 1520.5840 Cobweb
## 53 2030-11-10 1220.4582 1303.9793 1362.5960 1427.8159 1505.8271 Cobweb
## 54 2030-12-10 1226.0513 1312.6926 1370.1454 1437.0599 1523.8419 Cobweb
## 55 2031-01-10 1216.9200 1298.9730 1365.9509 1429.1590 1519.7635 Cobweb
## 56 2031-02-10 1218.0218 1314.2986 1372.3802 1438.9522 1532.4938 Cobweb
## 57 2031-03-10 1219.5642 1301.1356 1361.2515 1423.0120 1520.3658 Cobweb
## 58 2031-04-10 1224.1512 1309.7638 1371.2307 1434.3422 1531.2719 Cobweb
## 59 2031-05-10 1216.5511 1303.1464 1364.4645 1430.4127 1524.5880 Cobweb
## 60 2031-06-10 1223.4354 1306.1572 1371.2054 1436.9600 1530.7045 Cobweb
## 61 2031-07-10 1218.0179 1303.0426 1368.0192 1429.0212 1523.4618 Cobweb
## 62 2031-08-10 1222.7608 1310.9193 1368.7534 1432.9864 1519.5544 Cobweb
## 63 2031-09-10 1230.4617 1307.2454 1366.9760 1428.6240 1519.8968 Cobweb
## 64 2031-10-10 1228.2490 1302.4152 1367.8133 1428.1417 1531.3528 Cobweb
## 65 2031-11-10 1223.6247 1307.1765 1367.9740 1434.8152 1525.0663 Cobweb
## 66 2031-12-10 1224.1970 1300.1178 1364.3298 1427.6631 1523.4648 Cobweb
## 67 2032-01-10 1220.9875 1308.9233 1374.1454 1433.3841 1526.8289 Cobweb
## 68 2032-02-10 1216.7173 1302.8104 1367.2159 1426.5109 1520.6631 Cobweb
## 69 2032-03-10 1218.9932 1309.9516 1369.1814 1438.1073 1530.7368 Cobweb
## 70 2032-04-10 1215.3188 1298.6690 1362.8537 1431.0688 1535.5050 Cobweb
## 71 2032-05-10 1213.2431 1309.0583 1366.3980 1428.7321 1517.1587 Cobweb
## 72 2032-06-10 1225.2173 1306.6017 1370.5852 1429.1184 1521.6651 Cobweb
## 73 2032-07-10 1228.6516 1310.7174 1366.5115 1431.3385 1521.0946 Cobweb
## 74 2032-08-10 1215.8508 1302.5877 1368.1671 1430.2773 1520.7333 Cobweb
## 75 2032-09-10 1217.0441 1303.0943 1372.0975 1433.3362 1532.9530 Cobweb
## 76 2032-10-10 1216.2576 1305.4072 1365.6792 1435.0776 1523.9432 Cobweb
## 77 2032-11-10 1224.0395 1304.9964 1368.8508 1428.7076 1529.7064 Cobweb
## 78 2032-12-10 1212.9909 1307.3884 1367.4954 1433.3483 1521.8260 Cobweb
## 79 2033-01-10 1224.5362 1299.9593 1364.9128 1432.0851 1530.4392 Cobweb
## 80 2033-02-10 1223.3279 1309.7143 1366.0125 1431.6786 1519.3135 Cobweb
## 81 2033-03-10 1217.3356 1304.3645 1364.2861 1429.0680 1529.8368 Cobweb
## 82 2033-04-10 1223.1062 1305.7395 1364.4111 1426.2766 1527.6218 Cobweb
## 83 2033-05-10 1218.1786 1302.8989 1368.2596 1431.4110 1522.6601 Cobweb
## 84 2033-06-10 1234.4448 1306.6382 1366.4798 1434.7196 1526.0377 Cobweb
## 85 2033-07-10 1216.4532 1306.8134 1372.2918 1433.6508 1522.1323 Cobweb
## 86 2033-08-10 1220.0289 1307.2034 1364.3392 1428.4157 1525.6261 Cobweb
## 87 2033-09-10 1222.2690 1313.7645 1367.7340 1426.6428 1516.1781 Cobweb
## 88 2033-10-10 1221.2218 1308.6666 1368.5515 1428.5501 1522.6164 Cobweb
## 89 2033-11-10 1216.6185 1304.2212 1361.8108 1427.0837 1513.2482 Cobweb
## 90 2033-12-10 1224.1988 1308.8715 1366.6678 1431.9020 1521.4268 Cobweb
## 91 2034-01-10 1219.9373 1307.9353 1366.8723 1427.2981 1514.2879 Cobweb
## 92 2034-02-10 1220.4498 1310.5253 1369.4035 1432.8393 1524.6961 Cobweb
## 93 2034-03-10 1211.7206 1304.2608 1365.1105 1428.4780 1517.9765 Cobweb
## 94 2034-04-10 1215.7657 1303.6343 1365.3032 1429.5309 1528.2730 Cobweb
## 95 2034-05-10 1223.7529 1305.9681 1366.7340 1427.6762 1519.2726 Cobweb
## 96 2034-06-10 1219.5735 1300.6955 1365.0819 1426.8904 1520.1125 Cobweb
## 97 2034-07-10 1230.6099 1305.5101 1369.6357 1433.4275 1524.7829 Cobweb
## 98 2034-08-10 1214.6347 1303.7981 1363.0339 1424.7918 1514.5732 Cobweb
## 99 2034-09-10 1231.1421 1311.0311 1366.4091 1435.6375 1531.0938 Cobweb
## 100 2034-10-10 1224.4287 1312.3727 1369.0540 1428.9396 1516.4336 Cobweb
## 101 2034-11-10 1217.5943 1298.8913 1361.6569 1428.1399 1519.0034 Cobweb
## 102 2034-12-10 1235.6533 1307.0851 1371.6290 1432.4935 1535.0087 Cobweb
## 103 2035-01-10 1214.4744 1301.8791 1363.6979 1424.9388 1515.6060 Cobweb
## 104 2035-02-10 1223.4155 1308.9469 1372.2855 1432.6447 1528.2797 Cobweb
## 105 2035-03-10 1216.0006 1299.5830 1363.6662 1427.2914 1519.8518 Cobweb
## 106 2035-04-10 1217.8453 1311.8982 1375.5917 1435.1978 1520.1754 Cobweb
## 107 2035-05-10 1214.5071 1299.2624 1360.9330 1426.8347 1520.9371 Cobweb
## 108 2035-06-10 1215.5604 1310.6028 1369.6744 1435.4723 1526.2921 Cobweb
## 109 2035-07-10 1218.3785 1306.5141 1366.4376 1427.0336 1540.2753 Cobweb
## 110 2035-08-10 1210.4916 1302.5788 1365.6377 1434.9630 1517.9684 Cobweb
## 111 2035-09-10 1221.1794 1308.7738 1372.9839 1431.2883 1528.9753 Cobweb
## 112 2035-10-10 1221.5456 1304.3786 1363.0061 1431.9194 1531.7404 Cobweb
## 113 2035-11-10 1206.3159 1303.3289 1372.3512 1428.0194 1526.0698 Cobweb
## 114 2035-12-10 1209.7198 1300.1029 1365.6742 1428.7104 1518.7000 Cobweb
## 115 2036-01-10 1223.1458 1302.5833 1364.3510 1427.7448 1527.4251 Cobweb
## 116 2036-02-10 1216.5939 1309.9139 1369.3841 1430.3035 1529.8737 Cobweb
## 117 2036-03-10 1205.7980 1300.8499 1370.2546 1434.1046 1523.8612 Cobweb
## 118 2036-04-10 1217.0578 1303.7786 1369.1628 1437.3663 1528.0646 Cobweb
## 119 2036-05-10 1213.5411 1301.0855 1365.3806 1434.5168 1527.5888 Cobweb
## 120 2036-06-10 1213.2138 1308.3764 1372.6290 1434.1444 1536.2707 Cobweb
## 121 2036-07-10 1206.3491 1300.3457 1368.7190 1429.5318 1528.9817 Cobweb
## 122 2036-08-10 1221.4090 1306.7570 1369.4464 1431.4030 1519.2595 Cobweb
## 123 2036-09-10 1216.7985 1309.9434 1367.6077 1430.3222 1522.4846 Cobweb
## 124 2036-10-10 1221.5284 1303.9767 1366.1921 1432.8983 1520.4900 Cobweb
## 125 2036-11-10 1214.0125 1299.9092 1363.8126 1426.4987 1524.6654 Cobweb
## 126 2036-12-10 1225.4147 1310.3429 1371.6337 1433.5987 1525.9642 Cobweb
## 127 2037-01-10 1214.6541 1302.2459 1362.9975 1426.3264 1523.1639 Cobweb
## 128 2037-02-10 1216.0409 1313.4105 1376.0191 1435.6446 1519.0977 Cobweb
## 129 2037-03-10 1220.7230 1307.8657 1365.7626 1421.9721 1527.1221 Cobweb
## 130 2037-04-10 1217.3204 1310.9297 1371.1468 1435.4141 1538.9963 Cobweb
## 131 2037-05-10 1207.5689 1298.8770 1365.1945 1426.4063 1524.7469 Cobweb
## 132 2037-06-10 1220.9325 1305.5363 1367.1525 1431.6990 1531.9448 Cobweb
## 133 2037-07-10 1215.3875 1310.8910 1369.7465 1435.8065 1531.8602 Cobweb
## 134 2037-08-10 1213.9072 1297.9705 1363.4501 1421.8175 1523.4475 Cobweb
## 135 2037-09-10 1225.6976 1314.0388 1374.7666 1438.4878 1533.5946 Cobweb
## 136 2037-10-10 1215.4863 1299.4023 1365.4346 1430.5685 1526.0885 Cobweb
## 137 2037-11-10 1218.7949 1305.0657 1370.3940 1431.6683 1529.9136 Cobweb
## 138 2037-12-10 1212.8397 1303.0343 1366.8699 1431.8881 1524.0615 Cobweb
## 139 2038-01-10 1223.3170 1307.9832 1370.8982 1435.9544 1525.9713 Cobweb
## 140 2038-02-10 1213.5765 1303.2036 1361.8590 1427.5523 1525.5923 Cobweb
## 141 2038-03-10 1224.9912 1309.7100 1371.2348 1436.4258 1527.8424 Cobweb
## 142 2038-04-10 1217.8190 1300.6553 1365.0002 1428.0703 1519.1798 Cobweb
## 143 2038-05-10 1226.4321 1307.7330 1369.4342 1432.4183 1526.7365 Cobweb
## 144 2038-06-10 1214.7225 1303.2777 1363.1126 1426.7434 1507.5974 Cobweb
## 145 2038-07-10 1235.3727 1308.3705 1371.1814 1429.8632 1533.2523 Cobweb
## 146 2038-08-10 1214.2255 1308.3385 1364.3313 1426.2858 1508.9705 Cobweb
## 147 2038-09-10 1221.3202 1308.7343 1365.9545 1434.0809 1524.2221 Cobweb
## 148 2038-10-10 1216.4523 1306.3581 1367.4200 1430.5587 1534.7991 Cobweb
## 149 2038-11-10 1206.7790 1306.1115 1363.8786 1428.6191 1519.4383 Cobweb
## 150 2038-12-10 1219.8991 1305.5773 1370.3999 1437.1797 1531.3314 Cobweb
## 151 2039-01-10 1214.7001 1299.6422 1360.6091 1424.9018 1516.9357 Cobweb
## 152 2039-02-10 1220.0033 1313.6111 1376.8107 1436.7328 1528.4141 Cobweb
## 153 2039-03-10 1224.6176 1297.5215 1361.0096 1421.1336 1505.6458 Cobweb
## 154 2039-04-10 1237.2458 1316.7374 1371.3948 1434.1226 1524.6070 Cobweb
## 155 2039-05-10 1215.3694 1300.3761 1358.9130 1422.2444 1515.2686 Cobweb
## 156 2039-06-10 1234.7238 1312.8352 1372.1268 1439.9800 1530.9074 Cobweb
## 157 2039-07-10 1211.1520 1298.4469 1359.5824 1423.3092 1532.0409 Cobweb
## 158 2039-08-10 1213.4493 1308.4862 1373.1271 1433.7959 1525.3926 Cobweb
## 159 2039-09-10 1216.0532 1300.2569 1362.2431 1430.9027 1522.4106 Cobweb
## 160 2039-10-10 1215.1293 1308.2673 1375.2800 1434.0909 1524.6287 Cobweb
## 161 2039-11-10 1213.8546 1301.2540 1365.4699 1430.2392 1526.7625 Cobweb
## 162 2039-12-10 1208.9620 1308.8162 1368.4086 1430.0527 1522.3489 Cobweb
## 163 2040-01-10 1208.6541 1309.9958 1372.8057 1433.3316 1524.1526 Cobweb
## 164 2040-02-10 1212.9551 1301.1086 1365.3863 1427.4364 1526.4612 Cobweb
## 165 2040-03-10 1224.6211 1308.4921 1365.7119 1438.0082 1527.9700 Cobweb
## 166 2040-04-10 1217.9429 1304.5967 1372.6201 1434.0786 1524.4156 Cobweb
## 167 2040-05-10 1220.8112 1299.2976 1370.0827 1433.0701 1526.1845 Cobweb
## 168 2040-06-10 1213.8273 1307.0566 1368.8391 1435.5866 1524.6023 Cobweb
## 169 2040-07-10 1215.4712 1302.7343 1365.8449 1428.4966 1525.6081 Cobweb
## 170 2040-08-10 1228.4816 1308.3242 1371.5913 1430.9294 1528.4075 Cobweb
## 171 2040-09-10 1202.1558 1295.1764 1362.8213 1422.2308 1525.6363 Cobweb
## 172 2040-10-10 1225.0364 1311.2827 1376.7037 1445.5620 1539.7688 Cobweb
## 173 2040-11-10 1209.9662 1300.2372 1363.4655 1427.0503 1513.4577 Cobweb
## 174 2040-12-10 1228.1523 1305.5563 1373.7112 1431.8720 1525.1928 Cobweb
## 175 2041-01-10 1218.4008 1308.7061 1367.2258 1428.0044 1525.5274 Cobweb
## 176 2041-02-10 1216.0422 1306.6967 1368.9570 1427.5134 1521.8258 Cobweb
## 177 2041-03-10 1219.5282 1311.4518 1365.8722 1433.2904 1521.2832 Cobweb
## 178 2041-04-10 1213.8381 1303.8617 1364.4627 1429.5159 1532.5681 Cobweb
## 179 2041-05-10 1214.1265 1303.0779 1368.9857 1433.9574 1519.2555 Cobweb
## 180 2041-06-10 1217.2440 1304.8811 1362.8858 1431.2653 1527.9647 Cobweb
## 181 2041-07-10 1209.0674 1307.7422 1370.6031 1434.0663 1534.8796 Cobweb
## 182 2041-08-10 1205.3901 1302.6613 1367.3625 1428.7491 1521.1436 Cobweb
## 183 2041-09-10 1217.9483 1308.8243 1373.2072 1437.7402 1520.2716 Cobweb
## 184 2041-10-10 1223.2765 1309.1598 1364.5452 1428.4092 1530.5013 Cobweb
## 185 2041-11-10 1221.0731 1300.6305 1369.8922 1430.5492 1519.4834 Cobweb
## 186 2041-12-10 1227.0243 1305.7676 1367.2494 1431.1253 1526.5465 Cobweb
## 187 2042-01-10 1217.5972 1298.1451 1363.2577 1430.5942 1521.0649 Cobweb
## 188 2042-02-10 1227.2021 1308.2620 1372.8167 1437.5383 1522.6024 Cobweb
## 189 2042-03-10 1214.8054 1306.4013 1364.6898 1432.7743 1518.0929 Cobweb
## 190 2042-04-10 1222.1330 1305.1980 1367.4670 1429.8657 1524.9206 Cobweb
## 191 2042-05-10 1219.5750 1303.3341 1367.4433 1433.7652 1516.0928 Cobweb
## 192 2042-06-10 1226.4897 1305.8318 1375.1639 1432.3022 1523.1784 Cobweb
## 193 2042-07-10 1209.2571 1299.8759 1364.3220 1428.6373 1522.0235 Cobweb
## 194 2042-08-10 1217.9817 1306.9157 1370.0204 1433.7745 1527.9391 Cobweb
## 195 2042-09-10 1217.5713 1302.7504 1363.0464 1422.5416 1531.2115 Cobweb
## 196 2042-10-10 1227.4202 1310.4971 1371.3258 1433.9888 1525.8094 Cobweb
## 197 2042-11-10 1220.7288 1308.0407 1363.5586 1420.8105 1510.5251 Cobweb
## 198 2042-12-10 1220.2664 1307.6055 1362.6286 1432.1742 1523.4089 Cobweb
## 199 2043-01-10 1215.9558 1305.1539 1368.1816 1430.3126 1518.0733 Cobweb
## 200 2043-02-10 1226.2898 1314.0082 1373.1664 1428.8097 1521.2113 Cobweb
## 201 2043-03-10 1224.0876 1302.0925 1361.1899 1421.3441 1514.7334 Cobweb
## 202 2043-04-10 1238.0368 1306.4687 1367.8332 1431.6953 1527.4078 Cobweb
## 203 2043-05-10 1214.0179 1305.0815 1368.3725 1432.3560 1515.9410 Cobweb
## 204 2043-06-10 1226.9830 1309.0367 1372.3029 1427.8114 1521.9258 Cobweb
## 205 2043-07-10 1216.7307 1310.4089 1367.1345 1423.0138 1503.4268 Cobweb
## 206 2043-08-10 1225.3661 1304.4900 1364.3374 1428.4106 1525.3727 Cobweb
## 207 2043-09-10 1218.9583 1305.5667 1366.8534 1430.4415 1517.4287 Cobweb
## 208 2043-10-10 1226.0982 1302.2597 1364.5064 1432.2211 1528.7576 Cobweb
## 209 2043-11-10 1216.5092 1303.3290 1369.8891 1431.7903 1525.8207 Cobweb
## 210 2043-12-10 1212.9043 1300.5087 1373.1592 1433.5968 1530.4289 Cobweb
## 211 2044-01-10 1215.0338 1300.4971 1358.7610 1430.3336 1528.6242 Cobweb
## 212 2044-02-10 1217.2920 1306.0401 1365.5002 1433.9481 1531.3103 Cobweb
## 213 2044-03-10 1219.6634 1306.8584 1368.7470 1432.7683 1521.3829 Cobweb
## 214 2044-04-10 1219.8318 1303.4337 1368.2882 1432.7335 1523.7858 Cobweb
## 215 2044-05-10 1221.6852 1304.1225 1363.8158 1431.1822 1528.8889 Cobweb
## 216 2044-06-10 1218.1391 1302.9925 1367.0629 1430.6400 1517.2405 Cobweb
## 217 2044-07-10 1221.5448 1305.3762 1370.2527 1438.7385 1530.4597 Cobweb
## 218 2044-08-10 1212.8492 1297.3319 1364.4713 1428.8883 1522.5965 Cobweb
## 219 2044-09-10 1223.5721 1309.1157 1375.7802 1442.3995 1534.5083 Cobweb
## 220 2044-10-10 1207.1396 1300.9855 1365.4894 1423.9666 1520.8562 Cobweb
## 221 2044-11-10 1221.1403 1310.5315 1376.1339 1438.8150 1535.5289 Cobweb
## 222 2044-12-10 1216.5144 1303.7477 1369.3860 1430.3203 1517.1066 Cobweb
## 223 2045-01-10 1216.0879 1305.9412 1363.9106 1427.4883 1519.9967 Cobweb
## 224 2045-02-10 1223.1806 1311.0539 1368.0228 1430.1418 1515.8925 Cobweb
## 225 2045-03-10 1219.3723 1307.8070 1366.6311 1424.7721 1523.0487 Cobweb
## 226 2045-04-10 1219.1317 1309.8958 1367.5313 1432.5258 1523.9301 Cobweb
## 227 2045-05-10 1212.6468 1301.0582 1369.6070 1424.6683 1509.8403 Cobweb
## 228 2045-06-10 1215.8825 1307.7358 1365.9464 1435.8400 1522.5465 Cobweb
## 229 2045-07-10 1215.3952 1307.1516 1367.8499 1428.7909 1515.0346 Cobweb
## 230 2045-08-10 1221.8238 1307.4299 1367.0634 1429.6901 1521.8573 Cobweb
## 231 2045-09-10 1224.8763 1304.5457 1369.6861 1428.3844 1516.5688 Cobweb
## 232 2045-10-10 1227.8388 1310.2118 1367.7495 1431.2845 1524.8767 Cobweb
## 233 2045-11-10 1220.2493 1305.9063 1364.0388 1425.3219 1525.7638 Cobweb
## 234 2045-12-10 1219.7012 1308.9554 1372.9068 1438.1416 1526.4398 Cobweb
## 235 2046-01-10 1214.6089 1305.0740 1363.3742 1425.5919 1514.7772 Cobweb
## 236 2046-02-10 1228.3555 1304.4807 1371.1151 1431.2462 1524.4450 Cobweb
## 237 2046-03-10 1224.2014 1300.8657 1361.8173 1427.0807 1526.7086 Cobweb
## 238 2046-04-10 1224.4781 1311.5077 1374.5365 1436.4382 1530.4910 Cobweb
## 239 2046-05-10 1210.6390 1303.8888 1364.7559 1426.7013 1519.6879 Cobweb
## 240 2046-06-10 1222.6209 1309.3962 1370.3070 1432.6164 1541.8650 Cobweb
## 241 2046-07-10 1206.5617 1304.1082 1368.1355 1431.9059 1519.1676 Cobweb
## 242 2046-08-10 1218.5772 1301.4972 1367.4880 1433.8418 1537.2082 Cobweb
## 243 2046-09-10 1208.2230 1306.7684 1370.8866 1427.1346 1527.0211 Cobweb
## 244 2046-10-10 1220.8981 1309.2495 1365.8271 1423.1992 1532.9477 Cobweb
## 245 2046-11-10 1210.1895 1305.6387 1372.1977 1434.3043 1530.1977 Cobweb
## 246 2046-12-10 1212.0429 1302.8244 1362.9503 1432.0939 1530.8941 Cobweb
## 247 2047-01-10 1215.8576 1303.4094 1367.2840 1431.6009 1521.8674 Cobweb
## 248 2047-02-10 1223.4078 1311.5477 1368.7417 1430.1097 1529.3056 Cobweb
## 249 2047-03-10 1218.7142 1296.9862 1368.1035 1429.3074 1515.2811 Cobweb
## 250 2047-04-10 1226.6731 1307.5991 1369.1053 1431.7931 1528.5976 Cobweb
## 251 2047-05-10 1229.7780 1301.8848 1360.7071 1429.9238 1513.2319 Cobweb
## 252 2047-06-10 1216.8789 1307.8611 1366.6412 1429.2534 1517.5504 Cobweb
## 253 2047-07-10 1216.9386 1308.6020 1367.3605 1433.6183 1521.3335 Cobweb
## 254 2047-08-10 1221.8464 1310.1492 1372.5893 1433.4749 1527.8895 Cobweb
## 255 2047-09-10 1217.6947 1306.7742 1366.5203 1429.0939 1518.1014 Cobweb
## 256 2047-10-10 1225.8417 1306.8455 1370.0870 1433.0002 1532.0362 Cobweb
## 257 2047-11-10 1219.3781 1302.8778 1362.6243 1428.2308 1514.0360 Cobweb
## 258 2047-12-10 1231.2724 1309.8398 1369.0446 1430.6114 1522.1953 Cobweb
## 259 2048-01-10 1219.6842 1311.2167 1364.4679 1431.0031 1514.1445 Cobweb
## 260 2048-02-10 1216.9994 1306.4255 1368.2074 1424.1718 1516.2914 Cobweb
## 261 2048-03-10 1236.9416 1310.5884 1372.1899 1433.0153 1531.2924 Cobweb
## 262 2048-04-10 1218.5158 1304.3882 1362.4301 1424.6654 1518.4970 Cobweb
## 263 2048-05-10 1228.1457 1310.7780 1372.1234 1434.4231 1521.2109 Cobweb
## 264 2048-06-10 1215.3324 1306.4481 1361.4220 1420.5970 1516.1955 Cobweb
## 265 2048-07-10 1228.1917 1314.3335 1370.3665 1432.9197 1535.6819 Cobweb
## 266 2048-08-10 1213.5885 1302.9076 1365.1503 1429.0282 1518.4324 Cobweb
## 267 2048-09-10 1213.2495 1309.0013 1369.7578 1434.1428 1532.6708 Cobweb
## 268 2048-10-10 1216.8660 1306.9662 1364.0333 1422.7923 1521.4870 Cobweb
## 269 2048-11-10 1222.2495 1310.5605 1371.1564 1436.9342 1528.6160 Cobweb
## 270 2048-12-10 1222.6575 1307.5506 1370.8428 1428.9696 1517.9612 Cobweb
## 271 2049-01-10 1223.2749 1307.4793 1369.7958 1434.4357 1526.7135 Cobweb
## 272 2049-02-10 1220.2158 1302.8799 1368.7018 1432.7132 1531.8952 Cobweb
## 273 2049-03-10 1220.4992 1303.3043 1366.2405 1431.6172 1518.7134 Cobweb
## 274 2049-04-10 1224.3431 1308.7296 1369.9378 1430.9819 1522.7167 Cobweb
## 275 2049-05-10 1218.0605 1309.2304 1365.2367 1427.0872 1530.1266 Cobweb
## 276 2049-06-10 1219.0470 1311.5245 1369.8581 1435.3146 1519.9620 Cobweb
## 277 2049-07-10 1214.4198 1303.9579 1370.1268 1432.7345 1527.0579 Cobweb
## 278 2049-08-10 1221.8214 1306.5816 1366.5856 1434.3521 1533.1726 Cobweb
## 279 2049-09-10 1219.5284 1307.3324 1367.5595 1431.6706 1528.3242 Cobweb
## 280 2049-10-10 1216.7209 1302.9660 1371.6834 1435.0386 1523.0456 Cobweb
## 281 2049-11-10 1218.4403 1299.8898 1365.8947 1429.9269 1514.1775 Cobweb
## 282 2049-12-10 1228.2186 1308.9655 1368.3138 1432.6401 1528.8923 Cobweb
## 283 2050-01-10 1219.7391 1307.5354 1366.7856 1428.3208 1515.8126 Cobweb
## 284 2050-02-10 1219.2568 1309.2266 1366.3043 1424.6364 1511.0610 Cobweb
## 285 2050-03-10 1232.0997 1312.5992 1373.2421 1428.8719 1515.2936 Cobweb
## 286 2050-04-10 1215.5021 1307.2020 1364.9622 1426.1502 1510.4574 Cobweb
## 287 2050-05-10 1219.8551 1303.3696 1363.1452 1431.2665 1528.4526 Cobweb
## 288 2050-06-10 1216.9100 1306.1856 1370.4337 1432.7269 1522.8645 Cobweb
## 289 2050-07-10 1222.6926 1299.1388 1363.5087 1424.7729 1521.9066 Cobweb
## 290 2050-08-10 1224.8820 1311.2370 1371.9027 1432.2661 1529.5107 Cobweb
## 291 2050-09-10 1221.5750 1307.2097 1363.6554 1423.8464 1510.3278 Cobweb
## 292 2050-10-10 1224.7994 1311.3329 1371.7075 1430.2022 1523.8880 Cobweb
## 293 2050-11-10 1217.6755 1299.9029 1365.9475 1430.7304 1528.7464 Cobweb
## 294 2050-12-10 1211.4455 1309.7803 1367.7121 1430.2690 1522.6989 Cobweb
## 295 2051-01-10 1219.7612 1303.7150 1364.5956 1422.3272 1537.3707 Cobweb
## 296 2051-02-10 1214.6636 1309.6399 1367.7581 1429.8866 1518.8208 Cobweb
## 297 2051-03-10 1224.3738 1299.3358 1362.5388 1430.0921 1515.3559 Cobweb
## 298 2051-04-10 1226.8177 1309.9550 1370.6429 1435.4325 1531.1091 Cobweb
## 299 2051-05-10 1209.0343 1303.1115 1364.5638 1427.9405 1517.2353 Cobweb
## 300 2051-06-10 1216.8642 1306.8058 1368.4647 1433.4449 1535.0537 Cobweb
## 301 2051-07-10 1214.1461 1301.8764 1361.4673 1429.4655 1514.4370 Cobweb
## 302 2051-08-10 1231.2136 1311.2932 1369.8181 1438.6480 1530.8235 Cobweb
## 303 2051-09-10 1211.3309 1298.5105 1364.1391 1425.0771 1515.7219 Cobweb
## 304 2051-10-10 1216.0358 1304.2972 1373.3595 1432.3881 1523.6293 Cobweb
## 305 2051-11-10 1218.2023 1302.9309 1361.4160 1427.8085 1525.0736 Cobweb
## 306 2051-12-10 1218.8073 1311.9885 1370.2582 1428.3378 1524.0108 Cobweb
## 307 2052-01-10 1221.4634 1304.5649 1366.2415 1430.5422 1523.6372 Cobweb
## 308 2052-02-10 1221.0234 1306.2583 1369.3721 1432.3346 1530.2946 Cobweb
## 309 2052-03-10 1209.2976 1303.1430 1365.4329 1432.6586 1526.5571 Cobweb
## 310 2052-04-10 1224.4439 1306.9046 1363.9807 1432.9565 1533.5738 Cobweb
## 311 2052-05-10 1213.1853 1303.1779 1365.8915 1424.7619 1522.7219 Cobweb
## 312 2052-06-10 1218.9304 1308.5177 1365.4620 1430.9445 1522.7109 Cobweb
## 313 2052-07-10 1227.5929 1308.4550 1370.3847 1432.4820 1525.0595 Cobweb
## 314 2052-08-10 1221.1116 1303.5399 1366.4621 1428.9248 1516.0892 Cobweb
## 315 2052-09-10 1231.1226 1306.0854 1369.8200 1438.7963 1518.6338 Cobweb
## 316 2052-10-10 1223.2650 1307.7322 1365.4343 1427.4284 1521.1554 Cobweb
## 317 2052-11-10 1213.3856 1307.4883 1369.6318 1434.6304 1518.5027 Cobweb
## 318 2052-12-10 1221.1236 1303.9825 1367.8458 1428.0520 1521.1573 Cobweb
## 319 2053-01-10 1224.1275 1307.5296 1366.8469 1431.1757 1513.0528 Cobweb
## 320 2053-02-10 1233.5842 1308.2296 1364.2216 1424.8291 1519.5581 Cobweb
## 321 2053-03-10 1223.5577 1305.7231 1363.1636 1424.0311 1524.8228 Cobweb
## 322 2053-04-10 1230.9623 1310.1155 1373.2781 1432.7551 1518.3776 Cobweb
## 323 2053-05-10 1222.5717 1300.8235 1362.8527 1422.5659 1517.8752 Cobweb
## 324 2053-06-10 1218.3560 1311.9478 1376.1260 1436.5635 1522.2203 Cobweb
## 325 2053-07-10 1220.7916 1306.3608 1362.8412 1423.8144 1520.1335 Cobweb
## 326 2053-08-10 1218.3039 1309.6697 1366.0913 1426.1544 1523.0240 Cobweb
## 327 2053-09-10 1214.3878 1305.0998 1366.1037 1427.1834 1522.0049 Cobweb
## 328 2053-10-10 1217.6082 1305.4150 1366.6071 1428.7491 1522.9463 Cobweb
## 329 2053-11-10 1224.3786 1310.4266 1368.3057 1438.7646 1542.2726 Cobweb
## 330 2053-12-10 1212.6235 1303.6658 1368.5267 1427.0308 1520.0237 Cobweb
## 331 2054-01-10 1222.4971 1313.3174 1373.7759 1438.1156 1532.1214 Cobweb
## 332 2054-02-10 1208.6807 1301.7133 1364.1275 1429.0187 1521.7703 Cobweb
## 333 2054-03-10 1220.7529 1303.5483 1376.3805 1438.2395 1533.7235 Cobweb
## 334 2054-04-10 1216.4877 1303.2208 1365.9509 1423.5286 1518.9645 Cobweb
## 335 2054-05-10 1224.9064 1313.7380 1375.5130 1436.7289 1542.1410 Cobweb
## 336 2054-06-10 1204.9301 1297.7257 1361.2256 1428.6124 1531.1739 Cobweb
## 337 2054-07-10 1220.4385 1302.2022 1368.5040 1436.7730 1533.1513 Cobweb
## 338 2054-08-10 1217.1202 1301.0913 1363.3231 1428.8500 1516.7351 Cobweb
## 339 2054-09-10 1217.0298 1307.1050 1367.2498 1433.0385 1521.1638 Cobweb
## 340 2054-10-10 1224.1178 1301.3700 1368.6830 1426.9687 1525.3440 Cobweb
## 341 2054-11-10 1218.7254 1305.3578 1368.6136 1429.5758 1514.7547 Cobweb
## 342 2054-12-10 1219.4853 1305.9980 1368.9472 1436.1509 1524.9763 Cobweb
## 343 2055-01-10 1217.1003 1303.1792 1365.4509 1430.9272 1523.6816 Cobweb
## 344 2055-02-10 1209.8001 1302.1168 1370.7830 1434.8721 1526.3336 Cobweb
## 345 2055-03-10 1219.7726 1302.7044 1365.1730 1431.5507 1533.3767 Cobweb
## 346 2055-04-10 1212.6163 1306.0751 1366.0527 1430.6748 1524.4849 Cobweb
## 347 2055-05-10 1220.8627 1305.1160 1369.1013 1436.6314 1524.4094 Cobweb
## 348 2055-06-10 1221.9661 1306.6602 1372.1099 1434.7686 1521.8575 Cobweb
## 349 2055-07-10 1203.0513 1305.0125 1365.1392 1423.5186 1519.1671 Cobweb
## 350 2055-08-10 1227.8521 1306.5593 1368.1212 1432.6555 1527.5633 Cobweb
## 351 2055-09-10 1207.9888 1308.4788 1368.2988 1430.3731 1520.6139 Cobweb
## 352 2055-10-10 1221.4728 1309.3981 1366.8788 1430.4504 1532.1334 Cobweb
## 353 2055-11-10 1217.2545 1306.2084 1366.1201 1428.0439 1520.9969 Cobweb
## 354 2055-12-10 1212.6629 1307.1284 1367.8754 1430.6967 1517.5058 Cobweb
## 355 2056-01-10 1227.9514 1305.0821 1365.5730 1428.6885 1525.0596 Cobweb
## 356 2056-02-10 1228.4013 1312.4019 1370.7635 1435.8499 1517.2159 Cobweb
## 357 2056-03-10 1220.6024 1305.0240 1366.4258 1429.1515 1513.4023 Cobweb
## 358 2056-04-10 1221.0291 1308.2871 1365.8018 1431.5906 1517.9682 Cobweb
## 359 2056-05-10 1224.0912 1305.6745 1365.7078 1433.1088 1521.4532 Cobweb
## 360 2056-06-10 1217.3277 1311.4433 1372.4881 1433.0584 1524.5834 Cobweb6 Model 2: Geometric Brownian Motion (GBM)
6.1 Teorijska osnova
GBM je standardni statistički model za cijene na financijskim tržištima. Za razliku od Cobweba, ne modelira ekonomsku strukturu već opisuje statističko ponašanje cijene:
P(t) = P(t-1) * exp(mu + sigma * Z)
gdje je Z slučajni šok iz standardne normalne distribucije N(0,1). Parametri mu i sigma kalibrirani su iz istih empirijskih podataka kao Cobweb model — što osigurava fer usporedbu.
## mu (prosjecni log-return) = 0.00843## sigma (stand. devijacija) = 0.044176.2 Deterministička linija (trend)
cijene_gbm_det <- numeric(n_koraka)
cijene_gbm_det[1] <- startna_cijena
for (t in 2:n_koraka) {
cijene_gbm_det[t] <- cijene_gbm_det[t-1] * exp(mjesecni_prosjek)
}
df_gbm_det <- data.frame(
t = 1:n_koraka,
Datum = datumi_sim,
Cijena = cijene_gbm_det,
Model = "GBM"
)
df_gbm_det## t Datum Cijena Model
## 1 1 2026-07-10 3623.140 GBM
## 2 2 2026-08-10 3653.804 GBM
## 3 3 2026-09-10 3684.727 GBM
## 4 4 2026-10-10 3715.912 GBM
## 5 5 2026-11-10 3747.361 GBM
## 6 6 2026-12-10 3779.077 GBM
## 7 7 2027-01-10 3811.060 GBM
## 8 8 2027-02-10 3843.315 GBM
## 9 9 2027-03-10 3875.842 GBM
## 10 10 2027-04-10 3908.645 GBM
## 11 11 2027-05-10 3941.725 GBM
## 12 12 2027-06-10 3975.085 GBM
## 13 13 2027-07-10 4008.727 GBM
## 14 14 2027-08-10 4042.655 GBM
## 15 15 2027-09-10 4076.869 GBM
## 16 16 2027-10-10 4111.373 GBM
## 17 17 2027-11-10 4146.169 GBM
## 18 18 2027-12-10 4181.259 GBM
## 19 19 2028-01-10 4216.647 GBM
## 20 20 2028-02-10 4252.334 GBM
## 21 21 2028-03-10 4288.323 GBM
## 22 22 2028-04-10 4324.616 GBM
## 23 23 2028-05-10 4361.217 GBM
## 24 24 2028-06-10 4398.128 GBM
## 25 25 2028-07-10 4435.350 GBM
## 26 26 2028-08-10 4472.888 GBM
## 27 27 2028-09-10 4510.744 GBM
## 28 28 2028-10-10 4548.920 GBM
## 29 29 2028-11-10 4587.419 GBM
## 30 30 2028-12-10 4626.244 GBM
## 31 31 2029-01-10 4665.397 GBM
## 32 32 2029-02-10 4704.882 GBM
## 33 33 2029-03-10 4744.701 GBM
## 34 34 2029-04-10 4784.857 GBM
## 35 35 2029-05-10 4825.353 GBM
## 36 36 2029-06-10 4866.192 GBM
## 37 37 2029-07-10 4907.376 GBM
## 38 38 2029-08-10 4948.909 GBM
## 39 39 2029-09-10 4990.793 GBM
## 40 40 2029-10-10 5033.032 GBM
## 41 41 2029-11-10 5075.628 GBM
## 42 42 2029-12-10 5118.585 GBM
## 43 43 2030-01-10 5161.906 GBM
## 44 44 2030-02-10 5205.593 GBM
## 45 45 2030-03-10 5249.649 GBM
## 46 46 2030-04-10 5294.079 GBM
## 47 47 2030-05-10 5338.885 GBM
## 48 48 2030-06-10 5384.069 GBM
## 49 49 2030-07-10 5429.637 GBM
## 50 50 2030-08-10 5475.590 GBM
## 51 51 2030-09-10 5521.931 GBM
## 52 52 2030-10-10 5568.665 GBM
## 53 53 2030-11-10 5615.795 GBM
## 54 54 2030-12-10 5663.323 GBM
## 55 55 2031-01-10 5711.254 GBM
## 56 56 2031-02-10 5759.590 GBM
## 57 57 2031-03-10 5808.336 GBM
## 58 58 2031-04-10 5857.494 GBM
## 59 59 2031-05-10 5907.068 GBM
## 60 60 2031-06-10 5957.061 GBM
## 61 61 2031-07-10 6007.478 GBM
## 62 62 2031-08-10 6058.321 GBM
## 63 63 2031-09-10 6109.595 GBM
## 64 64 2031-10-10 6161.302 GBM
## 65 65 2031-11-10 6213.448 GBM
## 66 66 2031-12-10 6266.034 GBM
## 67 67 2032-01-10 6319.066 GBM
## 68 68 2032-02-10 6372.546 GBM
## 69 69 2032-03-10 6426.479 GBM
## 70 70 2032-04-10 6480.869 GBM
## 71 71 2032-05-10 6535.719 GBM
## 72 72 2032-06-10 6591.033 GBM
## 73 73 2032-07-10 6646.815 GBM
## 74 74 2032-08-10 6703.069 GBM
## 75 75 2032-09-10 6759.800 GBM
## 76 76 2032-10-10 6817.010 GBM
## 77 77 2032-11-10 6874.705 GBM
## 78 78 2032-12-10 6932.888 GBM
## 79 79 2033-01-10 6991.563 GBM
## 80 80 2033-02-10 7050.735 GBM
## 81 81 2033-03-10 7110.408 GBM
## 82 82 2033-04-10 7170.586 GBM
## 83 83 2033-05-10 7231.273 GBM
## 84 84 2033-06-10 7292.474 GBM
## 85 85 2033-07-10 7354.193 GBM
## 86 86 2033-08-10 7416.434 GBM
## 87 87 2033-09-10 7479.202 GBM
## 88 88 2033-10-10 7542.501 GBM
## 89 89 2033-11-10 7606.335 GBM
## 90 90 2033-12-10 7670.710 GBM
## 91 91 2034-01-10 7735.630 GBM
## 92 92 2034-02-10 7801.100 GBM
## 93 93 2034-03-10 7867.123 GBM
## 94 94 2034-04-10 7933.705 GBM
## 95 95 2034-05-10 8000.851 GBM
## 96 96 2034-06-10 8068.565 GBM
## 97 97 2034-07-10 8136.852 GBM
## 98 98 2034-08-10 8205.717 GBM
## 99 99 2034-09-10 8275.165 GBM
## 100 100 2034-10-10 8345.200 GBM
## 101 101 2034-11-10 8415.829 GBM
## 102 102 2034-12-10 8487.055 GBM
## 103 103 2035-01-10 8558.884 GBM
## 104 104 2035-02-10 8631.320 GBM
## 105 105 2035-03-10 8704.370 GBM
## 106 106 2035-04-10 8778.038 GBM
## 107 107 2035-05-10 8852.330 GBM
## 108 108 2035-06-10 8927.250 GBM
## 109 109 2035-07-10 9002.805 GBM
## 110 110 2035-08-10 9078.999 GBM
## 111 111 2035-09-10 9155.837 GBM
## 112 112 2035-10-10 9233.326 GBM
## 113 113 2035-11-10 9311.471 GBM
## 114 114 2035-12-10 9390.277 GBM
## 115 115 2036-01-10 9469.750 GBM
## 116 116 2036-02-10 9549.896 GBM
## 117 117 2036-03-10 9630.720 GBM
## 118 118 2036-04-10 9712.228 GBM
## 119 119 2036-05-10 9794.426 GBM
## 120 120 2036-06-10 9877.320 GBM
## 121 121 2036-07-10 9960.915 GBM
## 122 122 2036-08-10 10045.218 GBM
## 123 123 2036-09-10 10130.234 GBM
## 124 124 2036-10-10 10215.970 GBM
## 125 125 2036-11-10 10302.431 GBM
## 126 126 2036-12-10 10389.624 GBM
## 127 127 2037-01-10 10477.555 GBM
## 128 128 2037-02-10 10566.230 GBM
## 129 129 2037-03-10 10655.656 GBM
## 130 130 2037-04-10 10745.838 GBM
## 131 131 2037-05-10 10836.784 GBM
## 132 132 2037-06-10 10928.499 GBM
## 133 133 2037-07-10 11020.991 GBM
## 134 134 2037-08-10 11114.266 GBM
## 135 135 2037-09-10 11208.329 GBM
## 136 136 2037-10-10 11303.189 GBM
## 137 137 2037-11-10 11398.852 GBM
## 138 138 2037-12-10 11495.325 GBM
## 139 139 2038-01-10 11592.614 GBM
## 140 140 2038-02-10 11690.726 GBM
## 141 141 2038-03-10 11789.668 GBM
## 142 142 2038-04-10 11889.449 GBM
## 143 143 2038-05-10 11990.073 GBM
## 144 144 2038-06-10 12091.549 GBM
## 145 145 2038-07-10 12193.884 GBM
## 146 146 2038-08-10 12297.085 GBM
## 147 147 2038-09-10 12401.160 GBM
## 148 148 2038-10-10 12506.115 GBM
## 149 149 2038-11-10 12611.959 GBM
## 150 150 2038-12-10 12718.698 GBM
## 151 151 2039-01-10 12826.341 GBM
## 152 152 2039-02-10 12934.894 GBM
## 153 153 2039-03-10 13044.367 GBM
## 154 154 2039-04-10 13154.766 GBM
## 155 155 2039-05-10 13266.099 GBM
## 156 156 2039-06-10 13378.375 GBM
## 157 157 2039-07-10 13491.601 GBM
## 158 158 2039-08-10 13605.785 GBM
## 159 159 2039-09-10 13720.935 GBM
## 160 160 2039-10-10 13837.060 GBM
## 161 161 2039-11-10 13954.168 GBM
## 162 162 2039-12-10 14072.267 GBM
## 163 163 2040-01-10 14191.365 GBM
## 164 164 2040-02-10 14311.472 GBM
## 165 165 2040-03-10 14432.595 GBM
## 166 166 2040-04-10 14554.743 GBM
## 167 167 2040-05-10 14677.925 GBM
## 168 168 2040-06-10 14802.149 GBM
## 169 169 2040-07-10 14927.425 GBM
## 170 170 2040-08-10 15053.761 GBM
## 171 171 2040-09-10 15181.166 GBM
## 172 172 2040-10-10 15309.649 GBM
## 173 173 2040-11-10 15439.220 GBM
## 174 174 2040-12-10 15569.888 GBM
## 175 175 2041-01-10 15701.661 GBM
## 176 176 2041-02-10 15834.550 GBM
## 177 177 2041-03-10 15968.563 GBM
## 178 178 2041-04-10 16103.710 GBM
## 179 179 2041-05-10 16240.002 GBM
## 180 180 2041-06-10 16377.446 GBM
## 181 181 2041-07-10 16516.054 GBM
## 182 182 2041-08-10 16655.835 GBM
## 183 183 2041-09-10 16796.799 GBM
## 184 184 2041-10-10 16938.957 GBM
## 185 185 2041-11-10 17082.317 GBM
## 186 186 2041-12-10 17226.890 GBM
## 187 187 2042-01-10 17372.688 GBM
## 188 188 2042-02-10 17519.719 GBM
## 189 189 2042-03-10 17667.994 GBM
## 190 190 2042-04-10 17817.524 GBM
## 191 191 2042-05-10 17968.320 GBM
## 192 192 2042-06-10 18120.392 GBM
## 193 193 2042-07-10 18273.751 GBM
## 194 194 2042-08-10 18428.409 GBM
## 195 195 2042-09-10 18584.375 GBM
## 196 196 2042-10-10 18741.661 GBM
## 197 197 2042-11-10 18900.278 GBM
## 198 198 2042-12-10 19060.237 GBM
## 199 199 2043-01-10 19221.551 GBM
## 200 200 2043-02-10 19384.229 GBM
## 201 201 2043-03-10 19548.285 GBM
## 202 202 2043-04-10 19713.729 GBM
## 203 203 2043-05-10 19880.573 GBM
## 204 204 2043-06-10 20048.829 GBM
## 205 205 2043-07-10 20218.509 GBM
## 206 206 2043-08-10 20389.625 GBM
## 207 207 2043-09-10 20562.190 GBM
## 208 208 2043-10-10 20736.215 GBM
## 209 209 2043-11-10 20911.712 GBM
## 210 210 2043-12-10 21088.695 GBM
## 211 211 2044-01-10 21267.176 GBM
## 212 212 2044-02-10 21447.168 GBM
## 213 213 2044-03-10 21628.683 GBM
## 214 214 2044-04-10 21811.734 GBM
## 215 215 2044-05-10 21996.334 GBM
## 216 216 2044-06-10 22182.496 GBM
## 217 217 2044-07-10 22370.235 GBM
## 218 218 2044-08-10 22559.562 GBM
## 219 219 2044-09-10 22750.491 GBM
## 220 220 2044-10-10 22943.036 GBM
## 221 221 2044-11-10 23137.211 GBM
## 222 222 2044-12-10 23333.029 GBM
## 223 223 2045-01-10 23530.505 GBM
## 224 224 2045-02-10 23729.652 GBM
## 225 225 2045-03-10 23930.484 GBM
## 226 226 2045-04-10 24133.016 GBM
## 227 227 2045-05-10 24337.262 GBM
## 228 228 2045-06-10 24543.237 GBM
## 229 229 2045-07-10 24750.954 GBM
## 230 230 2045-08-10 24960.430 GBM
## 231 231 2045-09-10 25171.679 GBM
## 232 232 2045-10-10 25384.716 GBM
## 233 233 2045-11-10 25599.555 GBM
## 234 234 2045-12-10 25816.213 GBM
## 235 235 2046-01-10 26034.705 GBM
## 236 236 2046-02-10 26255.046 GBM
## 237 237 2046-03-10 26477.251 GBM
## 238 238 2046-04-10 26701.337 GBM
## 239 239 2046-05-10 26927.320 GBM
## 240 240 2046-06-10 27155.215 GBM
## 241 241 2046-07-10 27385.039 GBM
## 242 242 2046-08-10 27616.808 GBM
## 243 243 2046-09-10 27850.539 GBM
## 244 244 2046-10-10 28086.247 GBM
## 245 245 2046-11-10 28323.951 GBM
## 246 246 2046-12-10 28563.666 GBM
## 247 247 2047-01-10 28805.411 GBM
## 248 248 2047-02-10 29049.201 GBM
## 249 249 2047-03-10 29295.054 GBM
## 250 250 2047-04-10 29542.988 GBM
## 251 251 2047-05-10 29793.021 GBM
## 252 252 2047-06-10 30045.170 GBM
## 253 253 2047-07-10 30299.452 GBM
## 254 254 2047-08-10 30555.887 GBM
## 255 255 2047-09-10 30814.492 GBM
## 256 256 2047-10-10 31075.286 GBM
## 257 257 2047-11-10 31338.287 GBM
## 258 258 2047-12-10 31603.513 GBM
## 259 259 2048-01-10 31870.985 GBM
## 260 260 2048-02-10 32140.720 GBM
## 261 261 2048-03-10 32412.738 GBM
## 262 262 2048-04-10 32687.058 GBM
## 263 263 2048-05-10 32963.700 GBM
## 264 264 2048-06-10 33242.683 GBM
## 265 265 2048-07-10 33524.028 GBM
## 266 266 2048-08-10 33807.753 GBM
## 267 267 2048-09-10 34093.880 GBM
## 268 268 2048-10-10 34382.428 GBM
## 269 269 2048-11-10 34673.418 GBM
## 270 270 2048-12-10 34966.871 GBM
## 271 271 2049-01-10 35262.808 GBM
## 272 272 2049-02-10 35561.250 GBM
## 273 273 2049-03-10 35862.217 GBM
## 274 274 2049-04-10 36165.731 GBM
## 275 275 2049-05-10 36471.814 GBM
## 276 276 2049-06-10 36780.488 GBM
## 277 277 2049-07-10 37091.774 GBM
## 278 278 2049-08-10 37405.694 GBM
## 279 279 2049-09-10 37722.271 GBM
## 280 280 2049-10-10 38041.528 GBM
## 281 281 2049-11-10 38363.487 GBM
## 282 282 2049-12-10 38688.170 GBM
## 283 283 2050-01-10 39015.602 GBM
## 284 284 2050-02-10 39345.804 GBM
## 285 285 2050-03-10 39678.801 GBM
## 286 286 2050-04-10 40014.617 GBM
## 287 287 2050-05-10 40353.274 GBM
## 288 288 2050-06-10 40694.798 GBM
## 289 289 2050-07-10 41039.212 GBM
## 290 290 2050-08-10 41386.541 GBM
## 291 291 2050-09-10 41736.810 GBM
## 292 292 2050-10-10 42090.043 GBM
## 293 293 2050-11-10 42446.265 GBM
## 294 294 2050-12-10 42805.503 GBM
## 295 295 2051-01-10 43167.780 GBM
## 296 296 2051-02-10 43533.124 GBM
## 297 297 2051-03-10 43901.560 GBM
## 298 298 2051-04-10 44273.114 GBM
## 299 299 2051-05-10 44647.813 GBM
## 300 300 2051-06-10 45025.683 GBM
## 301 301 2051-07-10 45406.751 GBM
## 302 302 2051-08-10 45791.044 GBM
## 303 303 2051-09-10 46178.589 GBM
## 304 304 2051-10-10 46569.415 GBM
## 305 305 2051-11-10 46963.548 GBM
## 306 306 2051-12-10 47361.016 GBM
## 307 307 2052-01-10 47761.849 GBM
## 308 308 2052-02-10 48166.074 GBM
## 309 309 2052-03-10 48573.720 GBM
## 310 310 2052-04-10 48984.816 GBM
## 311 311 2052-05-10 49399.392 GBM
## 312 312 2052-06-10 49817.476 GBM
## 313 313 2052-07-10 50239.099 GBM
## 314 314 2052-08-10 50664.289 GBM
## 315 315 2052-09-10 51093.079 GBM
## 316 316 2052-10-10 51525.497 GBM
## 317 317 2052-11-10 51961.575 GBM
## 318 318 2052-12-10 52401.344 GBM
## 319 319 2053-01-10 52844.835 GBM
## 320 320 2053-02-10 53292.079 GBM
## 321 321 2053-03-10 53743.108 GBM
## 322 322 2053-04-10 54197.955 GBM
## 323 323 2053-05-10 54656.651 GBM
## 324 324 2053-06-10 55119.229 GBM
## 325 325 2053-07-10 55585.722 GBM
## 326 326 2053-08-10 56056.163 GBM
## 327 327 2053-09-10 56530.586 GBM
## 328 328 2053-10-10 57009.024 GBM
## 329 329 2053-11-10 57491.511 GBM
## 330 330 2053-12-10 57978.081 GBM
## 331 331 2054-01-10 58468.770 GBM
## 332 332 2054-02-10 58963.611 GBM
## 333 333 2054-03-10 59462.641 GBM
## 334 334 2054-04-10 59965.894 GBM
## 335 335 2054-05-10 60473.406 GBM
## 336 336 2054-06-10 60985.213 GBM
## 337 337 2054-07-10 61501.352 GBM
## 338 338 2054-08-10 62021.859 GBM
## 339 339 2054-09-10 62546.772 GBM
## 340 340 2054-10-10 63076.127 GBM
## 341 341 2054-11-10 63609.962 GBM
## 342 342 2054-12-10 64148.315 GBM
## 343 343 2055-01-10 64691.224 GBM
## 344 344 2055-02-10 65238.728 GBM
## 345 345 2055-03-10 65790.866 GBM
## 346 346 2055-04-10 66347.677 GBM
## 347 347 2055-05-10 66909.200 GBM
## 348 348 2055-06-10 67475.476 GBM
## 349 349 2055-07-10 68046.544 GBM
## 350 350 2055-08-10 68622.446 GBM
## 351 351 2055-09-10 69203.221 GBM
## 352 352 2055-10-10 69788.912 GBM
## 353 353 2055-11-10 70379.560 GBM
## 354 354 2055-12-10 70975.206 GBM
## 355 355 2056-01-10 71575.894 GBM
## 356 356 2056-02-10 72181.666 GBM
## 357 357 2056-03-10 72792.564 GBM
## 358 358 2056-04-10 73408.633 GBM
## 359 359 2056-05-10 74029.915 GBM
## 360 360 2056-06-10 74656.456 GBM6.3 Monte Carlo simulacija
MC_gbm <- matrix(NA, nrow = n_sim, ncol = n_koraka)
for (i in 1:n_sim) {
mc_cijene <- numeric(n_koraka)
mc_cijene[1] <- startna_cijena
for (t in 2:n_koraka) {
sok <- rnorm(1, mean = mjesecni_prosjek, sd = mjesecna_stand_dev)
mc_cijene[t] <- mc_cijene[t-1] * exp(sok)
}
MC_gbm[i, ] <- mc_cijene
}
df_mc_gbm <- data.frame(
Datum = datumi_sim,
q05 = apply(MC_gbm, 2, quantile, 0.05),
q25 = apply(MC_gbm, 2, quantile, 0.25),
q50 = apply(MC_gbm, 2, quantile, 0.50),
q75 = apply(MC_gbm, 2, quantile, 0.75),
q95 = apply(MC_gbm, 2, quantile, 0.95),
Model = "GBM"
)
df_mc_gbm## Datum q05 q25 q50 q75 q95 Model
## 1 2026-07-10 3623.140 3623.140 3623.140 3623.140 3623.140 GBM
## 2 2026-08-10 3404.225 3551.747 3657.937 3760.869 3922.928 GBM
## 3 2026-09-10 3334.619 3539.185 3693.237 3849.054 4062.632 GBM
## 4 2026-10-10 3288.288 3532.910 3714.610 3906.346 4197.699 GBM
## 5 2026-11-10 3215.103 3531.485 3738.519 3945.441 4340.838 GBM
## 6 2026-12-10 3194.340 3532.169 3753.580 4016.263 4438.625 GBM
## 7 2027-01-10 3167.360 3523.376 3774.306 4074.619 4585.821 GBM
## 8 2027-02-10 3142.038 3530.244 3806.270 4135.198 4655.332 GBM
## 9 2027-03-10 3110.299 3532.651 3848.989 4186.150 4790.823 GBM
## 10 2027-04-10 3096.345 3553.480 3868.278 4235.192 4846.540 GBM
## 11 2027-05-10 3107.256 3565.720 3887.956 4276.663 5017.742 GBM
## 12 2027-06-10 3108.548 3576.546 3959.195 4330.481 5079.023 GBM
## 13 2027-07-10 3105.938 3594.229 3966.401 4395.582 5211.733 GBM
## 14 2027-08-10 3095.365 3600.177 4000.537 4441.237 5229.683 GBM
## 15 2027-09-10 3052.490 3613.868 4032.098 4488.390 5324.648 GBM
## 16 2027-10-10 3100.314 3626.035 4054.834 4556.478 5470.518 GBM
## 17 2027-11-10 3087.463 3627.643 4093.717 4635.534 5517.700 GBM
## 18 2027-12-10 3037.264 3641.148 4124.628 4711.213 5628.070 GBM
## 19 2028-01-10 3059.038 3671.225 4153.534 4762.392 5699.422 GBM
## 20 2028-02-10 3093.570 3673.383 4188.345 4817.314 5786.514 GBM
## 21 2028-03-10 3044.203 3685.966 4210.330 4848.738 5959.491 GBM
## 22 2028-04-10 3014.224 3701.794 4237.453 4887.444 6111.276 GBM
## 23 2028-05-10 3009.325 3723.170 4242.434 4946.810 6111.629 GBM
## 24 2028-06-10 3006.307 3747.701 4298.819 4992.920 6248.269 GBM
## 25 2028-07-10 3043.273 3754.589 4351.406 5046.483 6426.771 GBM
## 26 2028-08-10 3032.671 3759.797 4356.491 5102.319 6486.976 GBM
## 27 2028-09-10 3021.050 3814.084 4418.080 5186.263 6621.890 GBM
## 28 2028-10-10 3019.923 3840.124 4466.324 5257.148 6775.156 GBM
## 29 2028-11-10 3018.474 3852.619 4503.471 5340.750 6916.226 GBM
## 30 2028-12-10 3056.076 3891.235 4581.617 5382.257 7092.518 GBM
## 31 2029-01-10 3022.495 3898.527 4576.391 5482.635 7149.791 GBM
## 32 2029-02-10 3047.056 3903.232 4617.813 5554.496 7333.351 GBM
## 33 2029-03-10 3049.669 3933.676 4653.521 5582.209 7410.941 GBM
## 34 2029-04-10 3036.213 3950.945 4709.941 5676.535 7573.295 GBM
## 35 2029-05-10 3041.422 3969.580 4734.709 5736.899 7600.642 GBM
## 36 2029-06-10 3076.969 4009.447 4776.629 5767.901 7731.918 GBM
## 37 2029-07-10 3059.163 4030.603 4860.818 5867.192 7856.028 GBM
## 38 2029-08-10 3055.959 4047.966 4903.487 5939.061 7733.278 GBM
## 39 2029-09-10 3021.979 4073.713 4976.929 6000.059 8016.258 GBM
## 40 2029-10-10 3057.884 4070.074 4981.362 6070.294 8251.098 GBM
## 41 2029-11-10 3036.486 4073.168 5116.127 6128.933 8337.964 GBM
## 42 2029-12-10 3061.834 4109.654 5124.161 6201.617 8369.320 GBM
## 43 2030-01-10 3069.603 4086.154 5146.522 6287.144 8437.200 GBM
## 44 2030-02-10 3108.397 4118.388 5214.632 6374.353 8676.705 GBM
## 45 2030-03-10 3103.181 4155.066 5294.780 6445.445 8693.008 GBM
## 46 2030-04-10 3104.948 4179.940 5335.494 6543.269 9010.417 GBM
## 47 2030-05-10 3166.101 4225.484 5330.401 6564.952 9101.838 GBM
## 48 2030-06-10 3155.794 4271.710 5399.030 6719.175 9008.681 GBM
## 49 2030-07-10 3145.676 4318.975 5444.206 6741.824 9133.525 GBM
## 50 2030-08-10 3228.555 4368.252 5464.939 6787.783 9273.714 GBM
## 51 2030-09-10 3207.805 4361.253 5536.301 6848.925 9446.085 GBM
## 52 2030-10-10 3240.432 4435.864 5549.328 6967.599 9480.945 GBM
## 53 2030-11-10 3250.182 4446.608 5556.617 7039.873 9602.424 GBM
## 54 2030-12-10 3248.309 4427.185 5606.478 7100.002 9619.486 GBM
## 55 2031-01-10 3297.182 4466.193 5645.234 7184.939 9817.305 GBM
## 56 2031-02-10 3288.619 4498.620 5709.382 7182.254 9993.059 GBM
## 57 2031-03-10 3269.527 4532.468 5735.762 7276.753 10290.232 GBM
## 58 2031-04-10 3260.296 4567.615 5806.192 7315.073 10301.951 GBM
## 59 2031-05-10 3318.101 4578.524 5795.880 7373.238 10464.442 GBM
## 60 2031-06-10 3293.168 4639.371 5842.831 7489.647 10628.827 GBM
## 61 2031-07-10 3331.412 4624.971 5823.622 7558.427 10629.872 GBM
## 62 2031-08-10 3417.278 4657.964 5881.179 7731.863 10738.482 GBM
## 63 2031-09-10 3402.415 4710.324 6033.417 7742.036 11112.199 GBM
## 64 2031-10-10 3451.550 4768.861 6002.298 7872.470 11267.159 GBM
## 65 2031-11-10 3446.622 4782.135 6107.884 7909.198 11397.466 GBM
## 66 2031-12-10 3489.079 4814.000 6142.190 8002.524 11581.778 GBM
## 67 2032-01-10 3525.767 4835.565 6180.056 7990.899 11779.094 GBM
## 68 2032-02-10 3502.112 4843.601 6220.285 8090.248 11987.792 GBM
## 69 2032-03-10 3546.511 4853.559 6264.344 8230.454 12054.776 GBM
## 70 2032-04-10 3495.529 4866.152 6365.284 8257.585 12195.493 GBM
## 71 2032-05-10 3457.322 4948.475 6456.244 8293.486 12343.729 GBM
## 72 2032-06-10 3518.198 5019.333 6509.289 8426.008 12409.880 GBM
## 73 2032-07-10 3525.636 5067.277 6507.043 8455.357 12559.049 GBM
## 74 2032-08-10 3589.107 5030.709 6540.902 8585.217 12773.555 GBM
## 75 2032-09-10 3616.982 5118.017 6679.805 8616.578 12938.799 GBM
## 76 2032-10-10 3563.115 5175.120 6717.134 8701.081 13081.546 GBM
## 77 2032-11-10 3511.738 5207.518 6831.173 8867.655 13645.397 GBM
## 78 2032-12-10 3561.678 5235.817 6838.412 9039.872 13606.854 GBM
## 79 2033-01-10 3616.506 5251.352 6902.076 9094.956 13587.363 GBM
## 80 2033-02-10 3574.107 5328.380 6889.380 9153.879 13685.437 GBM
## 81 2033-03-10 3608.472 5355.396 6902.559 9247.432 13761.832 GBM
## 82 2033-04-10 3610.951 5420.542 7024.635 9383.250 14036.710 GBM
## 83 2033-05-10 3662.562 5444.495 7072.086 9381.239 14257.586 GBM
## 84 2033-06-10 3710.672 5521.747 7134.266 9431.312 14330.600 GBM
## 85 2033-07-10 3719.402 5600.073 7231.927 9383.712 14405.450 GBM
## 86 2033-08-10 3790.667 5595.120 7285.497 9451.108 14605.331 GBM
## 87 2033-09-10 3759.325 5638.300 7390.408 9647.629 14954.063 GBM
## 88 2033-10-10 3820.130 5685.684 7429.931 9796.481 15232.015 GBM
## 89 2033-11-10 3833.914 5651.920 7556.935 9776.878 15525.330 GBM
## 90 2033-12-10 3853.100 5660.754 7613.558 9911.080 15867.341 GBM
## 91 2034-01-10 3815.176 5794.443 7623.190 10084.159 15914.339 GBM
## 92 2034-02-10 3833.665 5876.184 7740.021 10154.471 15974.290 GBM
## 93 2034-03-10 3926.380 5829.046 7829.795 10368.584 16218.385 GBM
## 94 2034-04-10 4011.226 5874.010 7873.674 10325.472 16248.418 GBM
## 95 2034-05-10 3959.486 5902.630 7947.401 10393.341 16735.198 GBM
## 96 2034-06-10 4021.848 5913.088 7964.049 10508.895 16676.843 GBM
## 97 2034-07-10 4036.265 5936.591 8057.427 10683.639 16982.789 GBM
## 98 2034-08-10 4042.967 6033.390 8161.071 10859.065 17447.135 GBM
## 99 2034-09-10 4033.038 6076.036 8291.772 11005.855 17769.882 GBM
## 100 2034-10-10 3982.413 6148.105 8249.716 11111.645 17731.340 GBM
## 101 2034-11-10 4089.964 6156.766 8284.798 11261.117 18101.695 GBM
## 102 2034-12-10 4048.928 6228.237 8354.069 11362.150 18551.835 GBM
## 103 2035-01-10 4073.926 6203.453 8411.596 11365.025 18780.609 GBM
## 104 2035-02-10 4185.622 6320.548 8502.030 11474.830 18900.643 GBM
## 105 2035-03-10 4125.962 6328.600 8612.842 11638.015 18960.108 GBM
## 106 2035-04-10 4083.472 6356.162 8591.882 11921.498 19166.711 GBM
## 107 2035-05-10 4048.569 6375.437 8604.750 11939.476 19289.343 GBM
## 108 2035-06-10 4117.062 6475.013 8825.663 12121.981 19560.742 GBM
## 109 2035-07-10 4147.689 6544.524 8941.563 12229.585 19827.903 GBM
## 110 2035-08-10 4206.794 6600.333 8992.889 12339.684 20152.575 GBM
## 111 2035-09-10 4269.377 6617.308 9064.588 12377.002 20255.460 GBM
## 112 2035-10-10 4309.668 6729.257 9142.500 12547.103 20688.859 GBM
## 113 2035-11-10 4343.547 6825.170 9182.019 12600.702 20818.584 GBM
## 114 2035-12-10 4348.153 6842.449 9271.807 12866.782 20635.302 GBM
## 115 2036-01-10 4273.808 6887.377 9542.104 13116.014 21051.407 GBM
## 116 2036-02-10 4292.151 6967.168 9555.415 13055.522 21514.153 GBM
## 117 2036-03-10 4325.444 7019.273 9637.861 13166.990 21460.301 GBM
## 118 2036-04-10 4312.412 6995.974 9746.626 13230.152 21630.185 GBM
## 119 2036-05-10 4371.528 7029.584 9676.992 13476.523 22182.900 GBM
## 120 2036-06-10 4404.364 7040.319 9858.527 13562.453 22631.624 GBM
## 121 2036-07-10 4471.193 7079.404 9920.302 13787.995 23209.472 GBM
## 122 2036-08-10 4617.301 7090.046 9887.449 14044.076 23175.085 GBM
## 123 2036-09-10 4543.466 7107.108 9951.663 14061.850 23389.548 GBM
## 124 2036-10-10 4543.045 7254.917 10094.846 14307.018 24181.412 GBM
## 125 2036-11-10 4555.644 7181.513 10134.647 14464.211 24425.450 GBM
## 126 2036-12-10 4577.181 7214.590 10178.223 14553.621 24206.480 GBM
## 127 2037-01-10 4689.007 7228.825 10341.731 14630.803 24909.607 GBM
## 128 2037-02-10 4773.311 7272.553 10373.796 14781.966 25141.028 GBM
## 129 2037-03-10 4725.002 7438.222 10383.929 14986.854 25605.194 GBM
## 130 2037-04-10 4758.234 7455.653 10587.807 15255.861 25676.764 GBM
## 131 2037-05-10 4751.313 7498.172 10536.819 15459.315 26160.232 GBM
## 132 2037-06-10 4732.189 7615.733 10684.175 15601.030 26624.958 GBM
## 133 2037-07-10 4805.498 7669.933 10781.553 15702.043 26537.678 GBM
## 134 2037-08-10 4830.932 7759.906 10963.419 15670.096 26493.744 GBM
## 135 2037-09-10 4922.231 7784.005 11005.585 15951.455 26650.059 GBM
## 136 2037-10-10 4930.293 7857.681 11034.024 16027.274 27257.971 GBM
## 137 2037-11-10 4968.618 7923.531 11159.139 16067.237 27153.767 GBM
## 138 2037-12-10 4996.042 7956.772 11299.913 16248.598 28179.040 GBM
## 139 2038-01-10 4976.452 8026.701 11436.723 16387.928 28277.124 GBM
## 140 2038-02-10 4993.418 8121.908 11599.977 16535.004 29135.501 GBM
## 141 2038-03-10 5020.151 8113.475 11643.680 16762.953 29454.750 GBM
## 142 2038-04-10 5048.079 8109.462 11655.053 16750.596 29806.444 GBM
## 143 2038-05-10 5122.290 8189.287 11790.204 17170.051 29885.616 GBM
## 144 2038-06-10 5100.957 8243.665 11918.111 17203.977 29967.561 GBM
## 145 2038-07-10 5114.756 8393.890 11861.878 17549.129 29700.663 GBM
## 146 2038-08-10 5141.645 8471.339 11984.422 17693.533 30460.239 GBM
## 147 2038-09-10 5170.278 8477.256 12013.400 17811.446 30701.284 GBM
## 148 2038-10-10 5248.788 8605.868 12193.007 18027.252 30792.957 GBM
## 149 2038-11-10 5288.235 8542.761 12249.196 18357.319 30945.052 GBM
## 150 2038-12-10 5340.520 8600.860 12497.150 18465.936 30895.511 GBM
## 151 2039-01-10 5341.420 8706.469 12549.951 18476.594 31734.262 GBM
## 152 2039-02-10 5249.912 8794.593 12753.126 18401.751 32082.887 GBM
## 153 2039-03-10 5275.614 8838.973 12897.257 18794.128 33006.599 GBM
## 154 2039-04-10 5399.489 8801.856 13074.561 18713.762 34014.945 GBM
## 155 2039-05-10 5367.532 8871.683 13231.143 19040.002 34430.302 GBM
## 156 2039-06-10 5358.431 9089.522 13320.498 19192.554 35007.979 GBM
## 157 2039-07-10 5385.350 9085.133 13438.912 19705.264 34800.360 GBM
## 158 2039-08-10 5468.933 9085.410 13581.904 19854.756 35710.601 GBM
## 159 2039-09-10 5463.333 9148.490 13686.719 20011.361 35611.771 GBM
## 160 2039-10-10 5588.138 9269.085 13774.418 20250.515 35795.104 GBM
## 161 2039-11-10 5707.042 9347.253 13892.440 20590.832 36355.194 GBM
## 162 2039-12-10 5705.487 9479.109 14069.826 20765.603 36826.401 GBM
## 163 2040-01-10 5742.156 9634.030 14091.891 20934.421 37029.808 GBM
## 164 2040-02-10 5757.972 9689.603 14156.598 21159.626 38011.348 GBM
## 165 2040-03-10 5924.383 9653.679 14293.461 21381.004 38171.439 GBM
## 166 2040-04-10 5814.243 9784.348 14645.010 21612.939 38972.475 GBM
## 167 2040-05-10 5877.557 9809.230 14703.326 21576.360 39450.792 GBM
## 168 2040-06-10 5779.729 9827.171 14761.134 21685.503 39143.233 GBM
## 169 2040-07-10 5873.059 9885.076 14810.954 21845.605 39234.683 GBM
## 170 2040-08-10 5981.378 9882.185 14984.543 22259.354 39479.325 GBM
## 171 2040-09-10 6008.736 9969.620 15356.371 22438.516 41004.934 GBM
## 172 2040-10-10 6159.168 10178.234 15466.240 22432.180 41981.529 GBM
## 173 2040-11-10 6271.315 10316.663 15674.320 22715.279 40931.930 GBM
## 174 2040-12-10 6235.425 10460.157 15627.210 23009.192 41905.426 GBM
## 175 2041-01-10 6242.917 10607.870 15680.760 23209.412 41677.865 GBM
## 176 2041-02-10 6336.825 10602.882 15903.577 23588.591 41647.490 GBM
## 177 2041-03-10 6279.501 10750.605 16160.014 23749.728 42226.277 GBM
## 178 2041-04-10 6356.011 10765.111 16181.852 24129.278 42511.820 GBM
## 179 2041-05-10 6455.067 10897.085 16379.759 24475.802 43449.122 GBM
## 180 2041-06-10 6422.063 10902.822 16639.089 24629.621 44109.697 GBM
## 181 2041-07-10 6423.244 11140.768 16823.129 25186.937 43660.777 GBM
## 182 2041-08-10 6520.282 11178.202 16849.340 25234.452 43683.628 GBM
## 183 2041-09-10 6604.402 11450.910 16864.033 24933.603 44532.035 GBM
## 184 2041-10-10 6687.373 11570.191 17023.688 25194.413 45821.326 GBM
## 185 2041-11-10 6676.168 11626.725 17229.548 25297.054 46656.386 GBM
## 186 2041-12-10 6792.462 11811.754 17432.810 25711.118 46123.486 GBM
## 187 2042-01-10 6739.429 11762.822 17553.436 25516.109 47221.186 GBM
## 188 2042-02-10 6896.074 11738.462 17720.812 26086.828 47928.000 GBM
## 189 2042-03-10 6802.827 11818.913 17879.705 26440.693 49099.522 GBM
## 190 2042-04-10 6824.555 11964.284 17812.267 26781.518 48635.103 GBM
## 191 2042-05-10 6804.506 11941.221 18157.862 27199.475 49935.608 GBM
## 192 2042-06-10 6804.760 12244.918 18140.679 27110.784 50668.084 GBM
## 193 2042-07-10 6891.518 12196.301 18239.028 27405.080 50184.174 GBM
## 194 2042-08-10 7073.011 12418.416 18599.858 27864.433 51187.419 GBM
## 195 2042-09-10 6980.493 12542.157 18695.432 28286.531 50820.128 GBM
## 196 2042-10-10 7033.329 12583.263 18830.962 28283.145 52057.958 GBM
## 197 2042-11-10 6862.723 12696.635 19009.930 28635.784 53003.444 GBM
## 198 2042-12-10 7080.741 12833.917 18997.553 28841.966 53917.500 GBM
## 199 2043-01-10 7098.200 12809.885 19253.089 28812.765 54117.446 GBM
## 200 2043-02-10 7059.289 12882.346 19529.427 29534.779 54659.128 GBM
## 201 2043-03-10 6983.831 13020.841 19682.592 29587.953 55306.657 GBM
## 202 2043-04-10 7121.092 13069.499 19781.837 30066.882 56348.444 GBM
## 203 2043-05-10 7280.943 13183.232 19865.855 30412.716 57210.361 GBM
## 204 2043-06-10 7165.056 13077.420 20112.264 30398.659 58139.108 GBM
## 205 2043-07-10 7158.994 13441.328 20292.633 30596.719 58029.265 GBM
## 206 2043-08-10 7369.388 13386.591 20457.348 31301.999 58079.359 GBM
## 207 2043-09-10 7380.939 13545.827 20704.854 31631.250 59250.160 GBM
## 208 2043-10-10 7392.410 13488.004 20847.064 31737.432 59741.138 GBM
## 209 2043-11-10 7460.926 13878.692 20936.660 31722.538 61282.431 GBM
## 210 2043-12-10 7561.794 13956.356 20938.871 32539.967 61996.086 GBM
## 211 2044-01-10 7609.472 13942.624 21428.032 32463.747 62809.732 GBM
## 212 2044-02-10 7544.511 13939.076 21541.737 32791.064 62333.551 GBM
## 213 2044-03-10 7539.644 14147.411 21850.178 33307.184 63825.675 GBM
## 214 2044-04-10 7771.399 14499.534 21849.716 33476.092 65109.030 GBM
## 215 2044-05-10 7603.761 14519.431 21954.381 34023.196 64032.957 GBM
## 216 2044-06-10 7754.653 14670.723 22183.919 34831.592 65855.026 GBM
## 217 2044-07-10 7747.765 14649.768 22371.724 34728.147 67189.267 GBM
## 218 2044-08-10 7844.216 14713.466 22344.355 34701.259 68748.746 GBM
## 219 2044-09-10 7833.987 14735.278 22255.269 35493.254 69243.917 GBM
## 220 2044-10-10 8067.413 15070.370 22656.199 35526.923 69466.866 GBM
## 221 2044-11-10 8041.620 15170.242 23014.626 35541.345 70601.439 GBM
## 222 2044-12-10 8253.469 15217.903 22914.600 35665.701 72803.698 GBM
## 223 2045-01-10 8339.597 15495.151 23251.823 36181.230 74314.864 GBM
## 224 2045-02-10 8356.238 15415.229 23424.645 36688.156 73355.683 GBM
## 225 2045-03-10 8328.904 15371.810 23802.008 37264.455 74385.867 GBM
## 226 2045-04-10 8256.046 15719.549 23907.549 37181.387 76097.861 GBM
## 227 2045-05-10 8571.232 15777.693 24209.476 37466.217 76229.787 GBM
## 228 2045-06-10 8515.966 16035.253 24541.095 37547.888 78928.950 GBM
## 229 2045-07-10 8582.462 16153.545 24935.219 38008.184 78378.570 GBM
## 230 2045-08-10 8498.136 16502.282 25312.350 38336.428 79781.913 GBM
## 231 2045-09-10 8404.096 16317.602 25585.962 38698.305 76809.123 GBM
## 232 2045-10-10 8647.194 16401.658 25560.152 39326.876 77759.872 GBM
## 233 2045-11-10 8812.856 16396.811 25983.614 39426.366 77528.305 GBM
## 234 2045-12-10 8670.482 16489.978 25839.652 39885.944 80148.116 GBM
## 235 2046-01-10 8829.002 16754.653 25872.391 40522.408 80930.204 GBM
## 236 2046-02-10 8760.103 16712.493 26492.843 40843.175 81984.243 GBM
## 237 2046-03-10 9139.248 16883.584 26635.847 40902.619 84249.953 GBM
## 238 2046-04-10 8958.701 17003.084 27079.167 41179.150 82901.276 GBM
## 239 2046-05-10 9069.972 17333.129 27133.356 41510.733 84148.944 GBM
## 240 2046-06-10 8886.962 17573.951 27308.908 41507.211 83811.196 GBM
## 241 2046-07-10 9131.315 17809.203 27401.057 41962.364 87336.917 GBM
## 242 2046-08-10 8998.894 17867.833 27823.752 42305.386 86461.406 GBM
## 243 2046-09-10 9148.845 17961.854 27679.731 42734.193 86942.628 GBM
## 244 2046-10-10 8985.439 17908.366 28039.191 43323.389 90353.541 GBM
## 245 2046-11-10 9312.009 18206.338 28649.064 43991.590 90564.359 GBM
## 246 2046-12-10 9223.802 18135.957 28672.470 44179.955 89980.151 GBM
## 247 2047-01-10 9277.531 18393.688 29261.457 45059.191 90142.998 GBM
## 248 2047-02-10 9535.642 18660.700 29044.012 45297.683 93007.619 GBM
## 249 2047-03-10 9529.807 18443.529 29270.414 46157.664 94774.811 GBM
## 250 2047-04-10 9637.081 18845.574 29752.011 46958.338 93795.361 GBM
## 251 2047-05-10 9575.661 19078.357 30242.399 47228.818 92361.610 GBM
## 252 2047-06-10 9605.999 19121.823 30426.740 48407.224 94318.421 GBM
## 253 2047-07-10 9649.530 19362.228 30712.534 48386.476 95402.066 GBM
## 254 2047-08-10 9623.929 19588.507 30651.532 48908.048 97439.713 GBM
## 255 2047-09-10 9935.706 19643.266 30821.355 49244.339 103201.006 GBM
## 256 2047-10-10 10090.618 19779.414 30871.935 49431.478 101130.418 GBM
## 257 2047-11-10 10111.619 19965.148 31453.742 49584.559 103020.552 GBM
## 258 2047-12-10 10214.518 19977.325 31655.006 51303.164 104149.937 GBM
## 259 2048-01-10 10216.707 20169.594 32321.717 51894.810 105307.309 GBM
## 260 2048-02-10 10328.506 20373.802 32517.129 52307.867 107940.448 GBM
## 261 2048-03-10 10414.603 20839.966 32771.845 52649.952 108952.686 GBM
## 262 2048-04-10 10633.026 20883.014 33040.121 53037.126 109390.951 GBM
## 263 2048-05-10 10662.062 20867.953 33449.605 53792.991 110079.428 GBM
## 264 2048-06-10 10861.318 20885.088 34129.784 53838.349 112167.019 GBM
## 265 2048-07-10 10767.591 21057.731 33825.835 54752.676 113597.708 GBM
## 266 2048-08-10 10965.260 21549.704 34568.119 54801.661 118260.645 GBM
## 267 2048-09-10 10909.420 21335.087 34982.912 55458.255 120225.618 GBM
## 268 2048-10-10 10988.525 21429.249 35283.172 56710.209 121395.429 GBM
## 269 2048-11-10 10952.789 21573.268 35478.954 57672.349 123946.272 GBM
## 270 2048-12-10 10964.712 22088.545 35657.499 57768.133 122611.919 GBM
## 271 2049-01-10 11397.288 22009.564 36363.525 57118.234 122450.888 GBM
## 272 2049-02-10 11205.792 22323.508 35935.864 58757.859 123789.154 GBM
## 273 2049-03-10 11439.756 22510.164 36234.620 58334.272 125963.859 GBM
## 274 2049-04-10 11321.235 22724.685 36914.126 59942.199 130481.870 GBM
## 275 2049-05-10 11281.689 22863.655 36217.133 60518.353 132385.996 GBM
## 276 2049-06-10 11607.476 22749.743 36526.228 61314.592 130939.699 GBM
## 277 2049-07-10 11686.350 22773.759 37101.758 61982.588 129340.203 GBM
## 278 2049-08-10 11696.621 22991.616 37786.699 61091.625 128923.274 GBM
## 279 2049-09-10 11676.826 23044.825 37776.009 62693.325 129078.527 GBM
## 280 2049-10-10 11715.819 23498.375 38212.173 63940.311 134217.617 GBM
## 281 2049-11-10 11883.435 23613.820 38476.257 64241.929 135439.824 GBM
## 282 2049-12-10 11971.733 23809.212 38663.692 65097.791 134751.322 GBM
## 283 2050-01-10 11769.311 24155.113 38694.108 65971.468 135868.086 GBM
## 284 2050-02-10 11923.200 24241.583 39054.726 66849.708 141090.378 GBM
## 285 2050-03-10 12125.040 24560.882 39399.254 67971.161 140525.982 GBM
## 286 2050-04-10 12391.007 24931.542 39982.687 67771.936 146327.287 GBM
## 287 2050-05-10 12509.052 25336.904 40550.477 67615.546 147411.099 GBM
## 288 2050-06-10 12575.548 25775.208 41145.482 68022.521 149808.212 GBM
## 289 2050-07-10 12833.108 25908.922 41825.859 68089.162 148954.386 GBM
## 290 2050-08-10 12658.316 26165.434 42317.348 69227.815 152086.634 GBM
## 291 2050-09-10 12892.318 26093.170 42274.853 70537.506 151235.112 GBM
## 292 2050-10-10 13110.533 26542.201 42598.508 70266.865 155847.426 GBM
## 293 2050-11-10 13171.840 26484.748 42802.609 70368.476 155176.159 GBM
## 294 2050-12-10 13141.484 26379.639 42945.711 71410.491 153606.032 GBM
## 295 2051-01-10 13436.913 26310.624 43974.668 72542.338 159259.757 GBM
## 296 2051-02-10 13391.151 27271.430 43972.662 72533.691 166656.845 GBM
## 297 2051-03-10 13428.679 27266.438 45121.585 72373.147 164115.026 GBM
## 298 2051-04-10 13514.081 27624.659 45169.155 74432.486 169268.210 GBM
## 299 2051-05-10 13337.038 27805.436 45408.129 75016.251 166746.385 GBM
## 300 2051-06-10 13645.631 28004.777 46174.742 74927.630 168957.171 GBM
## 301 2051-07-10 13770.051 27892.164 46141.480 75425.768 170807.959 GBM
## 302 2051-08-10 13789.075 27979.679 47069.697 77175.423 175218.804 GBM
## 303 2051-09-10 14012.162 28063.708 46946.911 78640.594 177304.157 GBM
## 304 2051-10-10 13919.726 28160.588 47259.938 79260.725 181367.356 GBM
## 305 2051-11-10 13791.342 28641.238 47330.551 79875.372 187229.008 GBM
## 306 2051-12-10 14024.414 28896.779 47399.372 80926.002 185599.384 GBM
## 307 2052-01-10 13705.831 28958.262 48249.259 81706.511 190812.783 GBM
## 308 2052-02-10 13857.941 29079.574 48954.047 82712.286 190945.449 GBM
## 309 2052-03-10 14191.627 29831.098 49357.386 83034.945 193453.912 GBM
## 310 2052-04-10 14146.548 30025.258 49672.759 83917.031 196407.034 GBM
## 311 2052-05-10 14157.330 29610.279 50399.415 84011.930 203153.504 GBM
## 312 2052-06-10 14241.459 29851.217 50829.262 85106.640 200875.868 GBM
## 313 2052-07-10 14449.108 30180.413 51253.483 86933.330 205818.752 GBM
## 314 2052-08-10 14600.732 30845.777 51746.801 87469.844 203052.076 GBM
## 315 2052-09-10 14605.876 30771.231 51683.897 88971.632 204961.507 GBM
## 316 2052-10-10 14838.351 30876.009 51707.768 88678.497 210103.152 GBM
## 317 2052-11-10 15451.065 30804.941 52537.357 90103.996 211980.853 GBM
## 318 2052-12-10 15244.451 31378.753 52985.787 91903.999 215219.609 GBM
## 319 2053-01-10 15818.139 31684.519 53207.645 92763.967 214961.813 GBM
## 320 2053-02-10 15728.213 31980.524 53417.749 93511.543 212115.912 GBM
## 321 2053-03-10 16064.680 31938.524 53921.523 93321.210 215665.271 GBM
## 322 2053-04-10 15883.332 32106.489 54178.858 95233.077 215484.160 GBM
## 323 2053-05-10 15789.099 32453.721 55001.212 95490.440 217834.415 GBM
## 324 2053-06-10 15847.602 32659.812 55411.885 95794.814 218737.187 GBM
## 325 2053-07-10 15771.588 32836.759 56253.452 97019.201 216594.474 GBM
## 326 2053-08-10 15901.429 33068.871 57012.739 97046.531 218527.537 GBM
## 327 2053-09-10 15965.406 32903.987 57723.296 98186.505 224972.746 GBM
## 328 2053-10-10 16296.478 33245.309 58323.852 99782.538 225736.477 GBM
## 329 2053-11-10 16185.756 33367.600 58320.108 100695.072 225827.825 GBM
## 330 2053-12-10 16177.160 33494.522 59257.715 102268.604 228245.867 GBM
## 331 2054-01-10 16310.209 34108.956 59456.232 104077.005 234241.578 GBM
## 332 2054-02-10 16036.401 34406.697 59876.293 105298.255 231891.861 GBM
## 333 2054-03-10 16165.962 34708.293 60831.741 105479.925 238726.964 GBM
## 334 2054-04-10 16353.384 35177.339 61229.118 107994.790 235288.823 GBM
## 335 2054-05-10 16462.926 35599.432 60848.991 108567.072 240449.108 GBM
## 336 2054-06-10 17080.884 35876.077 60960.988 107685.467 244138.786 GBM
## 337 2054-07-10 17470.715 36099.874 61671.762 107709.783 244904.938 GBM
## 338 2054-08-10 17559.965 35916.394 62323.389 110541.036 247262.917 GBM
## 339 2054-09-10 17441.632 36593.095 62761.466 109969.534 252712.160 GBM
## 340 2054-10-10 17813.939 36788.322 64359.368 110064.641 257285.939 GBM
## 341 2054-11-10 18149.978 37218.531 64994.544 110997.714 256188.597 GBM
## 342 2054-12-10 18136.963 37649.579 65957.082 112092.602 254448.568 GBM
## 343 2055-01-10 18221.749 37517.817 65712.386 114363.293 259030.507 GBM
## 344 2055-02-10 18066.883 37443.259 67313.979 115443.352 260924.068 GBM
## 345 2055-03-10 18173.809 37845.544 68466.572 116953.619 266298.736 GBM
## 346 2055-04-10 18313.999 38020.774 68532.014 119061.423 265639.327 GBM
## 347 2055-05-10 18168.480 38650.680 70039.769 119233.902 265489.465 GBM
## 348 2055-06-10 18160.760 39095.009 70015.205 120656.874 264938.639 GBM
## 349 2055-07-10 18937.035 39309.100 70396.104 122413.090 273150.248 GBM
## 350 2055-08-10 19167.117 39401.481 70398.272 123856.673 273041.157 GBM
## 351 2055-09-10 19451.748 39459.598 71483.618 124534.545 275793.123 GBM
## 352 2055-10-10 19364.169 40109.355 73421.084 125481.679 282941.688 GBM
## 353 2055-11-10 19704.852 40500.186 73835.468 127812.870 287634.903 GBM
## 354 2055-12-10 19644.546 40828.037 74621.987 128684.160 285998.248 GBM
## 355 2056-01-10 19789.318 41068.562 74980.683 129281.860 292027.262 GBM
## 356 2056-02-10 20056.367 41633.561 76378.031 129168.884 289222.340 GBM
## 357 2056-03-10 20256.133 41638.221 76875.627 131315.083 292701.661 GBM
## 358 2056-04-10 20717.592 41972.830 76997.402 131297.317 296358.491 GBM
## 359 2056-05-10 20945.004 42452.603 77742.634 132538.286 303898.867 GBM
## 360 2056-06-10 20893.930 42289.751 76347.455 133593.391 306369.708 GBM7 Analiza osjetljivosti
Testiramo utjecaj različitih vrijednosti kašnjenja ponude (lag) na Cobweb simulaciju. Veće kašnjenje znači da rudnici sporije reagiraju na cijenu, što uzrokuje dublje i dulje oscilacije.
lagovi <- c(1, 3, 6, 12, 24)
df_lag_all <- data.frame()
for (lg in lagovi) {
privremena_cijena <- numeric(n_koraka)
privremena_cijena[1] <- startna_cijena / skaliranje_cijene
for (t in 2:n_koraka) {
prijasnja_cijena <- privremena_cijena[max(1, t - lg)]
privremena_cijena[t] <- (slobodni_koef_potraznje - slobodni_koef_ponude -
nagib_ponude * prijasnja_cijena) / nagib_potraznje
}
df_lag_all <- rbind(df_lag_all, data.frame(
Datum = datumi_sim,
Cijena = privremena_cijena * skaliranje_cijene,
Lag = paste("Lag =", lg, "mj.")
))
}
df_lag_all## Datum Cijena Lag
## 1 2026-07-10 3623.1400 Lag = 1 mj.
## 2 2026-08-10 -334.2181 Lag = 1 mj.
## 3 2026-09-10 2633.8005 Lag = 1 mj.
## 4 2026-10-10 407.7865 Lag = 1 mj.
## 5 2026-11-10 2077.2970 Lag = 1 mj.
## 6 2026-12-10 825.1641 Lag = 1 mj.
## 7 2027-01-10 1764.2638 Lag = 1 mj.
## 8 2027-02-10 1059.9390 Lag = 1 mj.
## 9 2027-03-10 1588.1826 Lag = 1 mj.
## 10 2027-04-10 1191.9999 Lag = 1 mj.
## 11 2027-05-10 1489.1369 Lag = 1 mj.
## 12 2027-06-10 1266.2842 Lag = 1 mj.
## 13 2027-07-10 1433.4237 Lag = 1 mj.
## 14 2027-08-10 1308.0691 Lag = 1 mj.
## 15 2027-09-10 1402.0851 Lag = 1 mj.
## 16 2027-10-10 1331.5731 Lag = 1 mj.
## 17 2027-11-10 1384.4571 Lag = 1 mj.
## 18 2027-12-10 1344.7941 Lag = 1 mj.
## 19 2028-01-10 1374.5413 Lag = 1 mj.
## 20 2028-02-10 1352.2309 Lag = 1 mj.
## 21 2028-03-10 1368.9637 Lag = 1 mj.
## 22 2028-04-10 1356.4141 Lag = 1 mj.
## 23 2028-05-10 1365.8263 Lag = 1 mj.
## 24 2028-06-10 1358.7671 Lag = 1 mj.
## 25 2028-07-10 1364.0615 Lag = 1 mj.
## 26 2028-08-10 1360.0907 Lag = 1 mj.
## 27 2028-09-10 1363.0688 Lag = 1 mj.
## 28 2028-10-10 1360.8353 Lag = 1 mj.
## 29 2028-11-10 1362.5104 Lag = 1 mj.
## 30 2028-12-10 1361.2541 Lag = 1 mj.
## 31 2029-01-10 1362.1963 Lag = 1 mj.
## 32 2029-02-10 1361.4896 Lag = 1 mj.
## 33 2029-03-10 1362.0197 Lag = 1 mj.
## 34 2029-04-10 1361.6221 Lag = 1 mj.
## 35 2029-05-10 1361.9203 Lag = 1 mj.
## 36 2029-06-10 1361.6967 Lag = 1 mj.
## 37 2029-07-10 1361.8644 Lag = 1 mj.
## 38 2029-08-10 1361.7386 Lag = 1 mj.
## 39 2029-09-10 1361.8329 Lag = 1 mj.
## 40 2029-10-10 1361.7622 Lag = 1 mj.
## 41 2029-11-10 1361.8152 Lag = 1 mj.
## 42 2029-12-10 1361.7754 Lag = 1 mj.
## 43 2030-01-10 1361.8053 Lag = 1 mj.
## 44 2030-02-10 1361.7829 Lag = 1 mj.
## 45 2030-03-10 1361.7997 Lag = 1 mj.
## 46 2030-04-10 1361.7871 Lag = 1 mj.
## 47 2030-05-10 1361.7965 Lag = 1 mj.
## 48 2030-06-10 1361.7895 Lag = 1 mj.
## 49 2030-07-10 1361.7948 Lag = 1 mj.
## 50 2030-08-10 1361.7908 Lag = 1 mj.
## 51 2030-09-10 1361.7938 Lag = 1 mj.
## 52 2030-10-10 1361.7915 Lag = 1 mj.
## 53 2030-11-10 1361.7932 Lag = 1 mj.
## 54 2030-12-10 1361.7920 Lag = 1 mj.
## 55 2031-01-10 1361.7929 Lag = 1 mj.
## 56 2031-02-10 1361.7922 Lag = 1 mj.
## 57 2031-03-10 1361.7927 Lag = 1 mj.
## 58 2031-04-10 1361.7923 Lag = 1 mj.
## 59 2031-05-10 1361.7926 Lag = 1 mj.
## 60 2031-06-10 1361.7924 Lag = 1 mj.
## 61 2031-07-10 1361.7926 Lag = 1 mj.
## 62 2031-08-10 1361.7924 Lag = 1 mj.
## 63 2031-09-10 1361.7925 Lag = 1 mj.
## 64 2031-10-10 1361.7925 Lag = 1 mj.
## 65 2031-11-10 1361.7925 Lag = 1 mj.
## 66 2031-12-10 1361.7925 Lag = 1 mj.
## 67 2032-01-10 1361.7925 Lag = 1 mj.
## 68 2032-02-10 1361.7925 Lag = 1 mj.
## 69 2032-03-10 1361.7925 Lag = 1 mj.
## 70 2032-04-10 1361.7925 Lag = 1 mj.
## 71 2032-05-10 1361.7925 Lag = 1 mj.
## 72 2032-06-10 1361.7925 Lag = 1 mj.
## 73 2032-07-10 1361.7925 Lag = 1 mj.
## 74 2032-08-10 1361.7925 Lag = 1 mj.
## 75 2032-09-10 1361.7925 Lag = 1 mj.
## 76 2032-10-10 1361.7925 Lag = 1 mj.
## 77 2032-11-10 1361.7925 Lag = 1 mj.
## 78 2032-12-10 1361.7925 Lag = 1 mj.
## 79 2033-01-10 1361.7925 Lag = 1 mj.
## 80 2033-02-10 1361.7925 Lag = 1 mj.
## 81 2033-03-10 1361.7925 Lag = 1 mj.
## 82 2033-04-10 1361.7925 Lag = 1 mj.
## 83 2033-05-10 1361.7925 Lag = 1 mj.
## 84 2033-06-10 1361.7925 Lag = 1 mj.
## 85 2033-07-10 1361.7925 Lag = 1 mj.
## 86 2033-08-10 1361.7925 Lag = 1 mj.
## 87 2033-09-10 1361.7925 Lag = 1 mj.
## 88 2033-10-10 1361.7925 Lag = 1 mj.
## 89 2033-11-10 1361.7925 Lag = 1 mj.
## 90 2033-12-10 1361.7925 Lag = 1 mj.
## 91 2034-01-10 1361.7925 Lag = 1 mj.
## 92 2034-02-10 1361.7925 Lag = 1 mj.
## 93 2034-03-10 1361.7925 Lag = 1 mj.
## 94 2034-04-10 1361.7925 Lag = 1 mj.
## 95 2034-05-10 1361.7925 Lag = 1 mj.
## 96 2034-06-10 1361.7925 Lag = 1 mj.
## 97 2034-07-10 1361.7925 Lag = 1 mj.
## 98 2034-08-10 1361.7925 Lag = 1 mj.
## 99 2034-09-10 1361.7925 Lag = 1 mj.
## 100 2034-10-10 1361.7925 Lag = 1 mj.
## 101 2034-11-10 1361.7925 Lag = 1 mj.
## 102 2034-12-10 1361.7925 Lag = 1 mj.
## 103 2035-01-10 1361.7925 Lag = 1 mj.
## 104 2035-02-10 1361.7925 Lag = 1 mj.
## 105 2035-03-10 1361.7925 Lag = 1 mj.
## 106 2035-04-10 1361.7925 Lag = 1 mj.
## 107 2035-05-10 1361.7925 Lag = 1 mj.
## 108 2035-06-10 1361.7925 Lag = 1 mj.
## 109 2035-07-10 1361.7925 Lag = 1 mj.
## 110 2035-08-10 1361.7925 Lag = 1 mj.
## 111 2035-09-10 1361.7925 Lag = 1 mj.
## 112 2035-10-10 1361.7925 Lag = 1 mj.
## 113 2035-11-10 1361.7925 Lag = 1 mj.
## 114 2035-12-10 1361.7925 Lag = 1 mj.
## 115 2036-01-10 1361.7925 Lag = 1 mj.
## 116 2036-02-10 1361.7925 Lag = 1 mj.
## 117 2036-03-10 1361.7925 Lag = 1 mj.
## 118 2036-04-10 1361.7925 Lag = 1 mj.
## 119 2036-05-10 1361.7925 Lag = 1 mj.
## 120 2036-06-10 1361.7925 Lag = 1 mj.
## 121 2036-07-10 1361.7925 Lag = 1 mj.
## 122 2036-08-10 1361.7925 Lag = 1 mj.
## 123 2036-09-10 1361.7925 Lag = 1 mj.
## 124 2036-10-10 1361.7925 Lag = 1 mj.
## 125 2036-11-10 1361.7925 Lag = 1 mj.
## 126 2036-12-10 1361.7925 Lag = 1 mj.
## 127 2037-01-10 1361.7925 Lag = 1 mj.
## 128 2037-02-10 1361.7925 Lag = 1 mj.
## 129 2037-03-10 1361.7925 Lag = 1 mj.
## 130 2037-04-10 1361.7925 Lag = 1 mj.
## 131 2037-05-10 1361.7925 Lag = 1 mj.
## 132 2037-06-10 1361.7925 Lag = 1 mj.
## 133 2037-07-10 1361.7925 Lag = 1 mj.
## 134 2037-08-10 1361.7925 Lag = 1 mj.
## 135 2037-09-10 1361.7925 Lag = 1 mj.
## 136 2037-10-10 1361.7925 Lag = 1 mj.
## 137 2037-11-10 1361.7925 Lag = 1 mj.
## 138 2037-12-10 1361.7925 Lag = 1 mj.
## 139 2038-01-10 1361.7925 Lag = 1 mj.
## 140 2038-02-10 1361.7925 Lag = 1 mj.
## 141 2038-03-10 1361.7925 Lag = 1 mj.
## 142 2038-04-10 1361.7925 Lag = 1 mj.
## 143 2038-05-10 1361.7925 Lag = 1 mj.
## 144 2038-06-10 1361.7925 Lag = 1 mj.
## 145 2038-07-10 1361.7925 Lag = 1 mj.
## 146 2038-08-10 1361.7925 Lag = 1 mj.
## 147 2038-09-10 1361.7925 Lag = 1 mj.
## 148 2038-10-10 1361.7925 Lag = 1 mj.
## 149 2038-11-10 1361.7925 Lag = 1 mj.
## 150 2038-12-10 1361.7925 Lag = 1 mj.
## 151 2039-01-10 1361.7925 Lag = 1 mj.
## 152 2039-02-10 1361.7925 Lag = 1 mj.
## 153 2039-03-10 1361.7925 Lag = 1 mj.
## 154 2039-04-10 1361.7925 Lag = 1 mj.
## 155 2039-05-10 1361.7925 Lag = 1 mj.
## 156 2039-06-10 1361.7925 Lag = 1 mj.
## 157 2039-07-10 1361.7925 Lag = 1 mj.
## 158 2039-08-10 1361.7925 Lag = 1 mj.
## 159 2039-09-10 1361.7925 Lag = 1 mj.
## 160 2039-10-10 1361.7925 Lag = 1 mj.
## 161 2039-11-10 1361.7925 Lag = 1 mj.
## 162 2039-12-10 1361.7925 Lag = 1 mj.
## 163 2040-01-10 1361.7925 Lag = 1 mj.
## 164 2040-02-10 1361.7925 Lag = 1 mj.
## 165 2040-03-10 1361.7925 Lag = 1 mj.
## 166 2040-04-10 1361.7925 Lag = 1 mj.
## 167 2040-05-10 1361.7925 Lag = 1 mj.
## 168 2040-06-10 1361.7925 Lag = 1 mj.
## 169 2040-07-10 1361.7925 Lag = 1 mj.
## 170 2040-08-10 1361.7925 Lag = 1 mj.
## 171 2040-09-10 1361.7925 Lag = 1 mj.
## 172 2040-10-10 1361.7925 Lag = 1 mj.
## 173 2040-11-10 1361.7925 Lag = 1 mj.
## 174 2040-12-10 1361.7925 Lag = 1 mj.
## 175 2041-01-10 1361.7925 Lag = 1 mj.
## 176 2041-02-10 1361.7925 Lag = 1 mj.
## 177 2041-03-10 1361.7925 Lag = 1 mj.
## 178 2041-04-10 1361.7925 Lag = 1 mj.
## 179 2041-05-10 1361.7925 Lag = 1 mj.
## 180 2041-06-10 1361.7925 Lag = 1 mj.
## 181 2041-07-10 1361.7925 Lag = 1 mj.
## 182 2041-08-10 1361.7925 Lag = 1 mj.
## 183 2041-09-10 1361.7925 Lag = 1 mj.
## 184 2041-10-10 1361.7925 Lag = 1 mj.
## 185 2041-11-10 1361.7925 Lag = 1 mj.
## 186 2041-12-10 1361.7925 Lag = 1 mj.
## 187 2042-01-10 1361.7925 Lag = 1 mj.
## 188 2042-02-10 1361.7925 Lag = 1 mj.
## 189 2042-03-10 1361.7925 Lag = 1 mj.
## 190 2042-04-10 1361.7925 Lag = 1 mj.
## 191 2042-05-10 1361.7925 Lag = 1 mj.
## 192 2042-06-10 1361.7925 Lag = 1 mj.
## 193 2042-07-10 1361.7925 Lag = 1 mj.
## 194 2042-08-10 1361.7925 Lag = 1 mj.
## 195 2042-09-10 1361.7925 Lag = 1 mj.
## 196 2042-10-10 1361.7925 Lag = 1 mj.
## 197 2042-11-10 1361.7925 Lag = 1 mj.
## 198 2042-12-10 1361.7925 Lag = 1 mj.
## 199 2043-01-10 1361.7925 Lag = 1 mj.
## 200 2043-02-10 1361.7925 Lag = 1 mj.
## 201 2043-03-10 1361.7925 Lag = 1 mj.
## 202 2043-04-10 1361.7925 Lag = 1 mj.
## 203 2043-05-10 1361.7925 Lag = 1 mj.
## 204 2043-06-10 1361.7925 Lag = 1 mj.
## 205 2043-07-10 1361.7925 Lag = 1 mj.
## 206 2043-08-10 1361.7925 Lag = 1 mj.
## 207 2043-09-10 1361.7925 Lag = 1 mj.
## 208 2043-10-10 1361.7925 Lag = 1 mj.
## 209 2043-11-10 1361.7925 Lag = 1 mj.
## 210 2043-12-10 1361.7925 Lag = 1 mj.
## 211 2044-01-10 1361.7925 Lag = 1 mj.
## 212 2044-02-10 1361.7925 Lag = 1 mj.
## 213 2044-03-10 1361.7925 Lag = 1 mj.
## 214 2044-04-10 1361.7925 Lag = 1 mj.
## 215 2044-05-10 1361.7925 Lag = 1 mj.
## 216 2044-06-10 1361.7925 Lag = 1 mj.
## 217 2044-07-10 1361.7925 Lag = 1 mj.
## 218 2044-08-10 1361.7925 Lag = 1 mj.
## 219 2044-09-10 1361.7925 Lag = 1 mj.
## 220 2044-10-10 1361.7925 Lag = 1 mj.
## 221 2044-11-10 1361.7925 Lag = 1 mj.
## 222 2044-12-10 1361.7925 Lag = 1 mj.
## 223 2045-01-10 1361.7925 Lag = 1 mj.
## 224 2045-02-10 1361.7925 Lag = 1 mj.
## 225 2045-03-10 1361.7925 Lag = 1 mj.
## 226 2045-04-10 1361.7925 Lag = 1 mj.
## 227 2045-05-10 1361.7925 Lag = 1 mj.
## 228 2045-06-10 1361.7925 Lag = 1 mj.
## 229 2045-07-10 1361.7925 Lag = 1 mj.
## 230 2045-08-10 1361.7925 Lag = 1 mj.
## 231 2045-09-10 1361.7925 Lag = 1 mj.
## 232 2045-10-10 1361.7925 Lag = 1 mj.
## 233 2045-11-10 1361.7925 Lag = 1 mj.
## 234 2045-12-10 1361.7925 Lag = 1 mj.
## 235 2046-01-10 1361.7925 Lag = 1 mj.
## 236 2046-02-10 1361.7925 Lag = 1 mj.
## 237 2046-03-10 1361.7925 Lag = 1 mj.
## 238 2046-04-10 1361.7925 Lag = 1 mj.
## 239 2046-05-10 1361.7925 Lag = 1 mj.
## 240 2046-06-10 1361.7925 Lag = 1 mj.
## 241 2046-07-10 1361.7925 Lag = 1 mj.
## 242 2046-08-10 1361.7925 Lag = 1 mj.
## 243 2046-09-10 1361.7925 Lag = 1 mj.
## 244 2046-10-10 1361.7925 Lag = 1 mj.
## 245 2046-11-10 1361.7925 Lag = 1 mj.
## 246 2046-12-10 1361.7925 Lag = 1 mj.
## 247 2047-01-10 1361.7925 Lag = 1 mj.
## 248 2047-02-10 1361.7925 Lag = 1 mj.
## 249 2047-03-10 1361.7925 Lag = 1 mj.
## 250 2047-04-10 1361.7925 Lag = 1 mj.
## 251 2047-05-10 1361.7925 Lag = 1 mj.
## 252 2047-06-10 1361.7925 Lag = 1 mj.
## 253 2047-07-10 1361.7925 Lag = 1 mj.
## 254 2047-08-10 1361.7925 Lag = 1 mj.
## 255 2047-09-10 1361.7925 Lag = 1 mj.
## 256 2047-10-10 1361.7925 Lag = 1 mj.
## 257 2047-11-10 1361.7925 Lag = 1 mj.
## 258 2047-12-10 1361.7925 Lag = 1 mj.
## 259 2048-01-10 1361.7925 Lag = 1 mj.
## 260 2048-02-10 1361.7925 Lag = 1 mj.
## 261 2048-03-10 1361.7925 Lag = 1 mj.
## 262 2048-04-10 1361.7925 Lag = 1 mj.
## 263 2048-05-10 1361.7925 Lag = 1 mj.
## 264 2048-06-10 1361.7925 Lag = 1 mj.
## 265 2048-07-10 1361.7925 Lag = 1 mj.
## 266 2048-08-10 1361.7925 Lag = 1 mj.
## 267 2048-09-10 1361.7925 Lag = 1 mj.
## 268 2048-10-10 1361.7925 Lag = 1 mj.
## 269 2048-11-10 1361.7925 Lag = 1 mj.
## 270 2048-12-10 1361.7925 Lag = 1 mj.
## 271 2049-01-10 1361.7925 Lag = 1 mj.
## 272 2049-02-10 1361.7925 Lag = 1 mj.
## 273 2049-03-10 1361.7925 Lag = 1 mj.
## 274 2049-04-10 1361.7925 Lag = 1 mj.
## 275 2049-05-10 1361.7925 Lag = 1 mj.
## 276 2049-06-10 1361.7925 Lag = 1 mj.
## 277 2049-07-10 1361.7925 Lag = 1 mj.
## 278 2049-08-10 1361.7925 Lag = 1 mj.
## 279 2049-09-10 1361.7925 Lag = 1 mj.
## 280 2049-10-10 1361.7925 Lag = 1 mj.
## 281 2049-11-10 1361.7925 Lag = 1 mj.
## 282 2049-12-10 1361.7925 Lag = 1 mj.
## 283 2050-01-10 1361.7925 Lag = 1 mj.
## 284 2050-02-10 1361.7925 Lag = 1 mj.
## 285 2050-03-10 1361.7925 Lag = 1 mj.
## 286 2050-04-10 1361.7925 Lag = 1 mj.
## 287 2050-05-10 1361.7925 Lag = 1 mj.
## 288 2050-06-10 1361.7925 Lag = 1 mj.
## 289 2050-07-10 1361.7925 Lag = 1 mj.
## 290 2050-08-10 1361.7925 Lag = 1 mj.
## 291 2050-09-10 1361.7925 Lag = 1 mj.
## 292 2050-10-10 1361.7925 Lag = 1 mj.
## 293 2050-11-10 1361.7925 Lag = 1 mj.
## 294 2050-12-10 1361.7925 Lag = 1 mj.
## 295 2051-01-10 1361.7925 Lag = 1 mj.
## 296 2051-02-10 1361.7925 Lag = 1 mj.
## 297 2051-03-10 1361.7925 Lag = 1 mj.
## 298 2051-04-10 1361.7925 Lag = 1 mj.
## 299 2051-05-10 1361.7925 Lag = 1 mj.
## 300 2051-06-10 1361.7925 Lag = 1 mj.
## 301 2051-07-10 1361.7925 Lag = 1 mj.
## 302 2051-08-10 1361.7925 Lag = 1 mj.
## 303 2051-09-10 1361.7925 Lag = 1 mj.
## 304 2051-10-10 1361.7925 Lag = 1 mj.
## 305 2051-11-10 1361.7925 Lag = 1 mj.
## 306 2051-12-10 1361.7925 Lag = 1 mj.
## 307 2052-01-10 1361.7925 Lag = 1 mj.
## 308 2052-02-10 1361.7925 Lag = 1 mj.
## 309 2052-03-10 1361.7925 Lag = 1 mj.
## 310 2052-04-10 1361.7925 Lag = 1 mj.
## 311 2052-05-10 1361.7925 Lag = 1 mj.
## 312 2052-06-10 1361.7925 Lag = 1 mj.
## 313 2052-07-10 1361.7925 Lag = 1 mj.
## 314 2052-08-10 1361.7925 Lag = 1 mj.
## 315 2052-09-10 1361.7925 Lag = 1 mj.
## 316 2052-10-10 1361.7925 Lag = 1 mj.
## 317 2052-11-10 1361.7925 Lag = 1 mj.
## 318 2052-12-10 1361.7925 Lag = 1 mj.
## 319 2053-01-10 1361.7925 Lag = 1 mj.
## 320 2053-02-10 1361.7925 Lag = 1 mj.
## 321 2053-03-10 1361.7925 Lag = 1 mj.
## 322 2053-04-10 1361.7925 Lag = 1 mj.
## 323 2053-05-10 1361.7925 Lag = 1 mj.
## 324 2053-06-10 1361.7925 Lag = 1 mj.
## 325 2053-07-10 1361.7925 Lag = 1 mj.
## 326 2053-08-10 1361.7925 Lag = 1 mj.
## 327 2053-09-10 1361.7925 Lag = 1 mj.
## 328 2053-10-10 1361.7925 Lag = 1 mj.
## 329 2053-11-10 1361.7925 Lag = 1 mj.
## 330 2053-12-10 1361.7925 Lag = 1 mj.
## 331 2054-01-10 1361.7925 Lag = 1 mj.
## 332 2054-02-10 1361.7925 Lag = 1 mj.
## 333 2054-03-10 1361.7925 Lag = 1 mj.
## 334 2054-04-10 1361.7925 Lag = 1 mj.
## 335 2054-05-10 1361.7925 Lag = 1 mj.
## 336 2054-06-10 1361.7925 Lag = 1 mj.
## 337 2054-07-10 1361.7925 Lag = 1 mj.
## 338 2054-08-10 1361.7925 Lag = 1 mj.
## 339 2054-09-10 1361.7925 Lag = 1 mj.
## 340 2054-10-10 1361.7925 Lag = 1 mj.
## 341 2054-11-10 1361.7925 Lag = 1 mj.
## 342 2054-12-10 1361.7925 Lag = 1 mj.
## 343 2055-01-10 1361.7925 Lag = 1 mj.
## 344 2055-02-10 1361.7925 Lag = 1 mj.
## 345 2055-03-10 1361.7925 Lag = 1 mj.
## 346 2055-04-10 1361.7925 Lag = 1 mj.
## 347 2055-05-10 1361.7925 Lag = 1 mj.
## 348 2055-06-10 1361.7925 Lag = 1 mj.
## 349 2055-07-10 1361.7925 Lag = 1 mj.
## 350 2055-08-10 1361.7925 Lag = 1 mj.
## 351 2055-09-10 1361.7925 Lag = 1 mj.
## 352 2055-10-10 1361.7925 Lag = 1 mj.
## 353 2055-11-10 1361.7925 Lag = 1 mj.
## 354 2055-12-10 1361.7925 Lag = 1 mj.
## 355 2056-01-10 1361.7925 Lag = 1 mj.
## 356 2056-02-10 1361.7925 Lag = 1 mj.
## 357 2056-03-10 1361.7925 Lag = 1 mj.
## 358 2056-04-10 1361.7925 Lag = 1 mj.
## 359 2056-05-10 1361.7925 Lag = 1 mj.
## 360 2056-06-10 1361.7925 Lag = 1 mj.
## 361 2026-07-10 3623.1400 Lag = 3 mj.
## 362 2026-08-10 -334.2181 Lag = 3 mj.
## 363 2026-09-10 -334.2181 Lag = 3 mj.
## 364 2026-10-10 -334.2181 Lag = 3 mj.
## 365 2026-11-10 2633.8005 Lag = 3 mj.
## 366 2026-12-10 2633.8005 Lag = 3 mj.
## 367 2027-01-10 2633.8005 Lag = 3 mj.
## 368 2027-02-10 407.7865 Lag = 3 mj.
## 369 2027-03-10 407.7865 Lag = 3 mj.
## 370 2027-04-10 407.7865 Lag = 3 mj.
## 371 2027-05-10 2077.2970 Lag = 3 mj.
## 372 2027-06-10 2077.2970 Lag = 3 mj.
## 373 2027-07-10 2077.2970 Lag = 3 mj.
## 374 2027-08-10 825.1641 Lag = 3 mj.
## 375 2027-09-10 825.1641 Lag = 3 mj.
## 376 2027-10-10 825.1641 Lag = 3 mj.
## 377 2027-11-10 1764.2638 Lag = 3 mj.
## 378 2027-12-10 1764.2638 Lag = 3 mj.
## 379 2028-01-10 1764.2638 Lag = 3 mj.
## 380 2028-02-10 1059.9390 Lag = 3 mj.
## 381 2028-03-10 1059.9390 Lag = 3 mj.
## 382 2028-04-10 1059.9390 Lag = 3 mj.
## 383 2028-05-10 1588.1826 Lag = 3 mj.
## 384 2028-06-10 1588.1826 Lag = 3 mj.
## 385 2028-07-10 1588.1826 Lag = 3 mj.
## 386 2028-08-10 1191.9999 Lag = 3 mj.
## 387 2028-09-10 1191.9999 Lag = 3 mj.
## 388 2028-10-10 1191.9999 Lag = 3 mj.
## 389 2028-11-10 1489.1369 Lag = 3 mj.
## 390 2028-12-10 1489.1369 Lag = 3 mj.
## 391 2029-01-10 1489.1369 Lag = 3 mj.
## 392 2029-02-10 1266.2842 Lag = 3 mj.
## 393 2029-03-10 1266.2842 Lag = 3 mj.
## 394 2029-04-10 1266.2842 Lag = 3 mj.
## 395 2029-05-10 1433.4237 Lag = 3 mj.
## 396 2029-06-10 1433.4237 Lag = 3 mj.
## 397 2029-07-10 1433.4237 Lag = 3 mj.
## 398 2029-08-10 1308.0691 Lag = 3 mj.
## 399 2029-09-10 1308.0691 Lag = 3 mj.
## 400 2029-10-10 1308.0691 Lag = 3 mj.
## 401 2029-11-10 1402.0851 Lag = 3 mj.
## 402 2029-12-10 1402.0851 Lag = 3 mj.
## 403 2030-01-10 1402.0851 Lag = 3 mj.
## 404 2030-02-10 1331.5731 Lag = 3 mj.
## 405 2030-03-10 1331.5731 Lag = 3 mj.
## 406 2030-04-10 1331.5731 Lag = 3 mj.
## 407 2030-05-10 1384.4571 Lag = 3 mj.
## 408 2030-06-10 1384.4571 Lag = 3 mj.
## 409 2030-07-10 1384.4571 Lag = 3 mj.
## 410 2030-08-10 1344.7941 Lag = 3 mj.
## 411 2030-09-10 1344.7941 Lag = 3 mj.
## 412 2030-10-10 1344.7941 Lag = 3 mj.
## 413 2030-11-10 1374.5413 Lag = 3 mj.
## 414 2030-12-10 1374.5413 Lag = 3 mj.
## 415 2031-01-10 1374.5413 Lag = 3 mj.
## 416 2031-02-10 1352.2309 Lag = 3 mj.
## 417 2031-03-10 1352.2309 Lag = 3 mj.
## 418 2031-04-10 1352.2309 Lag = 3 mj.
## 419 2031-05-10 1368.9637 Lag = 3 mj.
## 420 2031-06-10 1368.9637 Lag = 3 mj.
## 421 2031-07-10 1368.9637 Lag = 3 mj.
## 422 2031-08-10 1356.4141 Lag = 3 mj.
## 423 2031-09-10 1356.4141 Lag = 3 mj.
## 424 2031-10-10 1356.4141 Lag = 3 mj.
## 425 2031-11-10 1365.8263 Lag = 3 mj.
## 426 2031-12-10 1365.8263 Lag = 3 mj.
## 427 2032-01-10 1365.8263 Lag = 3 mj.
## 428 2032-02-10 1358.7671 Lag = 3 mj.
## 429 2032-03-10 1358.7671 Lag = 3 mj.
## 430 2032-04-10 1358.7671 Lag = 3 mj.
## 431 2032-05-10 1364.0615 Lag = 3 mj.
## 432 2032-06-10 1364.0615 Lag = 3 mj.
## 433 2032-07-10 1364.0615 Lag = 3 mj.
## 434 2032-08-10 1360.0907 Lag = 3 mj.
## 435 2032-09-10 1360.0907 Lag = 3 mj.
## 436 2032-10-10 1360.0907 Lag = 3 mj.
## 437 2032-11-10 1363.0688 Lag = 3 mj.
## 438 2032-12-10 1363.0688 Lag = 3 mj.
## 439 2033-01-10 1363.0688 Lag = 3 mj.
## 440 2033-02-10 1360.8353 Lag = 3 mj.
## 441 2033-03-10 1360.8353 Lag = 3 mj.
## 442 2033-04-10 1360.8353 Lag = 3 mj.
## 443 2033-05-10 1362.5104 Lag = 3 mj.
## 444 2033-06-10 1362.5104 Lag = 3 mj.
## 445 2033-07-10 1362.5104 Lag = 3 mj.
## 446 2033-08-10 1361.2541 Lag = 3 mj.
## 447 2033-09-10 1361.2541 Lag = 3 mj.
## 448 2033-10-10 1361.2541 Lag = 3 mj.
## 449 2033-11-10 1362.1963 Lag = 3 mj.
## 450 2033-12-10 1362.1963 Lag = 3 mj.
## 451 2034-01-10 1362.1963 Lag = 3 mj.
## 452 2034-02-10 1361.4896 Lag = 3 mj.
## 453 2034-03-10 1361.4896 Lag = 3 mj.
## 454 2034-04-10 1361.4896 Lag = 3 mj.
## 455 2034-05-10 1362.0197 Lag = 3 mj.
## 456 2034-06-10 1362.0197 Lag = 3 mj.
## 457 2034-07-10 1362.0197 Lag = 3 mj.
## 458 2034-08-10 1361.6221 Lag = 3 mj.
## 459 2034-09-10 1361.6221 Lag = 3 mj.
## 460 2034-10-10 1361.6221 Lag = 3 mj.
## 461 2034-11-10 1361.9203 Lag = 3 mj.
## 462 2034-12-10 1361.9203 Lag = 3 mj.
## 463 2035-01-10 1361.9203 Lag = 3 mj.
## 464 2035-02-10 1361.6967 Lag = 3 mj.
## 465 2035-03-10 1361.6967 Lag = 3 mj.
## 466 2035-04-10 1361.6967 Lag = 3 mj.
## 467 2035-05-10 1361.8644 Lag = 3 mj.
## 468 2035-06-10 1361.8644 Lag = 3 mj.
## 469 2035-07-10 1361.8644 Lag = 3 mj.
## 470 2035-08-10 1361.7386 Lag = 3 mj.
## 471 2035-09-10 1361.7386 Lag = 3 mj.
## 472 2035-10-10 1361.7386 Lag = 3 mj.
## 473 2035-11-10 1361.8329 Lag = 3 mj.
## 474 2035-12-10 1361.8329 Lag = 3 mj.
## 475 2036-01-10 1361.8329 Lag = 3 mj.
## 476 2036-02-10 1361.7622 Lag = 3 mj.
## 477 2036-03-10 1361.7622 Lag = 3 mj.
## 478 2036-04-10 1361.7622 Lag = 3 mj.
## 479 2036-05-10 1361.8152 Lag = 3 mj.
## 480 2036-06-10 1361.8152 Lag = 3 mj.
## 481 2036-07-10 1361.8152 Lag = 3 mj.
## 482 2036-08-10 1361.7754 Lag = 3 mj.
## 483 2036-09-10 1361.7754 Lag = 3 mj.
## 484 2036-10-10 1361.7754 Lag = 3 mj.
## 485 2036-11-10 1361.8053 Lag = 3 mj.
## 486 2036-12-10 1361.8053 Lag = 3 mj.
## 487 2037-01-10 1361.8053 Lag = 3 mj.
## 488 2037-02-10 1361.7829 Lag = 3 mj.
## 489 2037-03-10 1361.7829 Lag = 3 mj.
## 490 2037-04-10 1361.7829 Lag = 3 mj.
## 491 2037-05-10 1361.7997 Lag = 3 mj.
## 492 2037-06-10 1361.7997 Lag = 3 mj.
## 493 2037-07-10 1361.7997 Lag = 3 mj.
## 494 2037-08-10 1361.7871 Lag = 3 mj.
## 495 2037-09-10 1361.7871 Lag = 3 mj.
## 496 2037-10-10 1361.7871 Lag = 3 mj.
## 497 2037-11-10 1361.7965 Lag = 3 mj.
## 498 2037-12-10 1361.7965 Lag = 3 mj.
## 499 2038-01-10 1361.7965 Lag = 3 mj.
## 500 2038-02-10 1361.7895 Lag = 3 mj.
## 501 2038-03-10 1361.7895 Lag = 3 mj.
## 502 2038-04-10 1361.7895 Lag = 3 mj.
## 503 2038-05-10 1361.7948 Lag = 3 mj.
## 504 2038-06-10 1361.7948 Lag = 3 mj.
## 505 2038-07-10 1361.7948 Lag = 3 mj.
## 506 2038-08-10 1361.7908 Lag = 3 mj.
## 507 2038-09-10 1361.7908 Lag = 3 mj.
## 508 2038-10-10 1361.7908 Lag = 3 mj.
## 509 2038-11-10 1361.7938 Lag = 3 mj.
## 510 2038-12-10 1361.7938 Lag = 3 mj.
## 511 2039-01-10 1361.7938 Lag = 3 mj.
## 512 2039-02-10 1361.7915 Lag = 3 mj.
## 513 2039-03-10 1361.7915 Lag = 3 mj.
## 514 2039-04-10 1361.7915 Lag = 3 mj.
## 515 2039-05-10 1361.7932 Lag = 3 mj.
## 516 2039-06-10 1361.7932 Lag = 3 mj.
## 517 2039-07-10 1361.7932 Lag = 3 mj.
## 518 2039-08-10 1361.7920 Lag = 3 mj.
## 519 2039-09-10 1361.7920 Lag = 3 mj.
## 520 2039-10-10 1361.7920 Lag = 3 mj.
## 521 2039-11-10 1361.7929 Lag = 3 mj.
## 522 2039-12-10 1361.7929 Lag = 3 mj.
## 523 2040-01-10 1361.7929 Lag = 3 mj.
## 524 2040-02-10 1361.7922 Lag = 3 mj.
## 525 2040-03-10 1361.7922 Lag = 3 mj.
## 526 2040-04-10 1361.7922 Lag = 3 mj.
## 527 2040-05-10 1361.7927 Lag = 3 mj.
## 528 2040-06-10 1361.7927 Lag = 3 mj.
## 529 2040-07-10 1361.7927 Lag = 3 mj.
## 530 2040-08-10 1361.7923 Lag = 3 mj.
## 531 2040-09-10 1361.7923 Lag = 3 mj.
## 532 2040-10-10 1361.7923 Lag = 3 mj.
## 533 2040-11-10 1361.7926 Lag = 3 mj.
## 534 2040-12-10 1361.7926 Lag = 3 mj.
## 535 2041-01-10 1361.7926 Lag = 3 mj.
## 536 2041-02-10 1361.7924 Lag = 3 mj.
## 537 2041-03-10 1361.7924 Lag = 3 mj.
## 538 2041-04-10 1361.7924 Lag = 3 mj.
## 539 2041-05-10 1361.7926 Lag = 3 mj.
## 540 2041-06-10 1361.7926 Lag = 3 mj.
## 541 2041-07-10 1361.7926 Lag = 3 mj.
## 542 2041-08-10 1361.7924 Lag = 3 mj.
## 543 2041-09-10 1361.7924 Lag = 3 mj.
## 544 2041-10-10 1361.7924 Lag = 3 mj.
## 545 2041-11-10 1361.7925 Lag = 3 mj.
## 546 2041-12-10 1361.7925 Lag = 3 mj.
## 547 2042-01-10 1361.7925 Lag = 3 mj.
## 548 2042-02-10 1361.7925 Lag = 3 mj.
## 549 2042-03-10 1361.7925 Lag = 3 mj.
## 550 2042-04-10 1361.7925 Lag = 3 mj.
## 551 2042-05-10 1361.7925 Lag = 3 mj.
## 552 2042-06-10 1361.7925 Lag = 3 mj.
## 553 2042-07-10 1361.7925 Lag = 3 mj.
## 554 2042-08-10 1361.7925 Lag = 3 mj.
## 555 2042-09-10 1361.7925 Lag = 3 mj.
## 556 2042-10-10 1361.7925 Lag = 3 mj.
## 557 2042-11-10 1361.7925 Lag = 3 mj.
## 558 2042-12-10 1361.7925 Lag = 3 mj.
## 559 2043-01-10 1361.7925 Lag = 3 mj.
## 560 2043-02-10 1361.7925 Lag = 3 mj.
## 561 2043-03-10 1361.7925 Lag = 3 mj.
## 562 2043-04-10 1361.7925 Lag = 3 mj.
## 563 2043-05-10 1361.7925 Lag = 3 mj.
## 564 2043-06-10 1361.7925 Lag = 3 mj.
## 565 2043-07-10 1361.7925 Lag = 3 mj.
## 566 2043-08-10 1361.7925 Lag = 3 mj.
## 567 2043-09-10 1361.7925 Lag = 3 mj.
## 568 2043-10-10 1361.7925 Lag = 3 mj.
## 569 2043-11-10 1361.7925 Lag = 3 mj.
## 570 2043-12-10 1361.7925 Lag = 3 mj.
## 571 2044-01-10 1361.7925 Lag = 3 mj.
## 572 2044-02-10 1361.7925 Lag = 3 mj.
## 573 2044-03-10 1361.7925 Lag = 3 mj.
## 574 2044-04-10 1361.7925 Lag = 3 mj.
## 575 2044-05-10 1361.7925 Lag = 3 mj.
## 576 2044-06-10 1361.7925 Lag = 3 mj.
## 577 2044-07-10 1361.7925 Lag = 3 mj.
## 578 2044-08-10 1361.7925 Lag = 3 mj.
## 579 2044-09-10 1361.7925 Lag = 3 mj.
## 580 2044-10-10 1361.7925 Lag = 3 mj.
## 581 2044-11-10 1361.7925 Lag = 3 mj.
## 582 2044-12-10 1361.7925 Lag = 3 mj.
## 583 2045-01-10 1361.7925 Lag = 3 mj.
## 584 2045-02-10 1361.7925 Lag = 3 mj.
## 585 2045-03-10 1361.7925 Lag = 3 mj.
## 586 2045-04-10 1361.7925 Lag = 3 mj.
## 587 2045-05-10 1361.7925 Lag = 3 mj.
## 588 2045-06-10 1361.7925 Lag = 3 mj.
## 589 2045-07-10 1361.7925 Lag = 3 mj.
## 590 2045-08-10 1361.7925 Lag = 3 mj.
## 591 2045-09-10 1361.7925 Lag = 3 mj.
## 592 2045-10-10 1361.7925 Lag = 3 mj.
## 593 2045-11-10 1361.7925 Lag = 3 mj.
## 594 2045-12-10 1361.7925 Lag = 3 mj.
## 595 2046-01-10 1361.7925 Lag = 3 mj.
## 596 2046-02-10 1361.7925 Lag = 3 mj.
## 597 2046-03-10 1361.7925 Lag = 3 mj.
## 598 2046-04-10 1361.7925 Lag = 3 mj.
## 599 2046-05-10 1361.7925 Lag = 3 mj.
## 600 2046-06-10 1361.7925 Lag = 3 mj.
## 601 2046-07-10 1361.7925 Lag = 3 mj.
## 602 2046-08-10 1361.7925 Lag = 3 mj.
## 603 2046-09-10 1361.7925 Lag = 3 mj.
## 604 2046-10-10 1361.7925 Lag = 3 mj.
## 605 2046-11-10 1361.7925 Lag = 3 mj.
## 606 2046-12-10 1361.7925 Lag = 3 mj.
## 607 2047-01-10 1361.7925 Lag = 3 mj.
## 608 2047-02-10 1361.7925 Lag = 3 mj.
## 609 2047-03-10 1361.7925 Lag = 3 mj.
## 610 2047-04-10 1361.7925 Lag = 3 mj.
## 611 2047-05-10 1361.7925 Lag = 3 mj.
## 612 2047-06-10 1361.7925 Lag = 3 mj.
## 613 2047-07-10 1361.7925 Lag = 3 mj.
## 614 2047-08-10 1361.7925 Lag = 3 mj.
## 615 2047-09-10 1361.7925 Lag = 3 mj.
## 616 2047-10-10 1361.7925 Lag = 3 mj.
## 617 2047-11-10 1361.7925 Lag = 3 mj.
## 618 2047-12-10 1361.7925 Lag = 3 mj.
## 619 2048-01-10 1361.7925 Lag = 3 mj.
## 620 2048-02-10 1361.7925 Lag = 3 mj.
## 621 2048-03-10 1361.7925 Lag = 3 mj.
## 622 2048-04-10 1361.7925 Lag = 3 mj.
## 623 2048-05-10 1361.7925 Lag = 3 mj.
## 624 2048-06-10 1361.7925 Lag = 3 mj.
## 625 2048-07-10 1361.7925 Lag = 3 mj.
## 626 2048-08-10 1361.7925 Lag = 3 mj.
## 627 2048-09-10 1361.7925 Lag = 3 mj.
## 628 2048-10-10 1361.7925 Lag = 3 mj.
## 629 2048-11-10 1361.7925 Lag = 3 mj.
## 630 2048-12-10 1361.7925 Lag = 3 mj.
## 631 2049-01-10 1361.7925 Lag = 3 mj.
## 632 2049-02-10 1361.7925 Lag = 3 mj.
## 633 2049-03-10 1361.7925 Lag = 3 mj.
## 634 2049-04-10 1361.7925 Lag = 3 mj.
## 635 2049-05-10 1361.7925 Lag = 3 mj.
## 636 2049-06-10 1361.7925 Lag = 3 mj.
## 637 2049-07-10 1361.7925 Lag = 3 mj.
## 638 2049-08-10 1361.7925 Lag = 3 mj.
## 639 2049-09-10 1361.7925 Lag = 3 mj.
## 640 2049-10-10 1361.7925 Lag = 3 mj.
## 641 2049-11-10 1361.7925 Lag = 3 mj.
## 642 2049-12-10 1361.7925 Lag = 3 mj.
## 643 2050-01-10 1361.7925 Lag = 3 mj.
## 644 2050-02-10 1361.7925 Lag = 3 mj.
## 645 2050-03-10 1361.7925 Lag = 3 mj.
## 646 2050-04-10 1361.7925 Lag = 3 mj.
## 647 2050-05-10 1361.7925 Lag = 3 mj.
## 648 2050-06-10 1361.7925 Lag = 3 mj.
## 649 2050-07-10 1361.7925 Lag = 3 mj.
## 650 2050-08-10 1361.7925 Lag = 3 mj.
## 651 2050-09-10 1361.7925 Lag = 3 mj.
## 652 2050-10-10 1361.7925 Lag = 3 mj.
## 653 2050-11-10 1361.7925 Lag = 3 mj.
## 654 2050-12-10 1361.7925 Lag = 3 mj.
## 655 2051-01-10 1361.7925 Lag = 3 mj.
## 656 2051-02-10 1361.7925 Lag = 3 mj.
## 657 2051-03-10 1361.7925 Lag = 3 mj.
## 658 2051-04-10 1361.7925 Lag = 3 mj.
## 659 2051-05-10 1361.7925 Lag = 3 mj.
## 660 2051-06-10 1361.7925 Lag = 3 mj.
## 661 2051-07-10 1361.7925 Lag = 3 mj.
## 662 2051-08-10 1361.7925 Lag = 3 mj.
## 663 2051-09-10 1361.7925 Lag = 3 mj.
## 664 2051-10-10 1361.7925 Lag = 3 mj.
## 665 2051-11-10 1361.7925 Lag = 3 mj.
## 666 2051-12-10 1361.7925 Lag = 3 mj.
## 667 2052-01-10 1361.7925 Lag = 3 mj.
## 668 2052-02-10 1361.7925 Lag = 3 mj.
## 669 2052-03-10 1361.7925 Lag = 3 mj.
## 670 2052-04-10 1361.7925 Lag = 3 mj.
## 671 2052-05-10 1361.7925 Lag = 3 mj.
## 672 2052-06-10 1361.7925 Lag = 3 mj.
## 673 2052-07-10 1361.7925 Lag = 3 mj.
## 674 2052-08-10 1361.7925 Lag = 3 mj.
## 675 2052-09-10 1361.7925 Lag = 3 mj.
## 676 2052-10-10 1361.7925 Lag = 3 mj.
## 677 2052-11-10 1361.7925 Lag = 3 mj.
## 678 2052-12-10 1361.7925 Lag = 3 mj.
## 679 2053-01-10 1361.7925 Lag = 3 mj.
## 680 2053-02-10 1361.7925 Lag = 3 mj.
## 681 2053-03-10 1361.7925 Lag = 3 mj.
## 682 2053-04-10 1361.7925 Lag = 3 mj.
## 683 2053-05-10 1361.7925 Lag = 3 mj.
## 684 2053-06-10 1361.7925 Lag = 3 mj.
## 685 2053-07-10 1361.7925 Lag = 3 mj.
## 686 2053-08-10 1361.7925 Lag = 3 mj.
## 687 2053-09-10 1361.7925 Lag = 3 mj.
## 688 2053-10-10 1361.7925 Lag = 3 mj.
## 689 2053-11-10 1361.7925 Lag = 3 mj.
## 690 2053-12-10 1361.7925 Lag = 3 mj.
## 691 2054-01-10 1361.7925 Lag = 3 mj.
## 692 2054-02-10 1361.7925 Lag = 3 mj.
## 693 2054-03-10 1361.7925 Lag = 3 mj.
## 694 2054-04-10 1361.7925 Lag = 3 mj.
## 695 2054-05-10 1361.7925 Lag = 3 mj.
## 696 2054-06-10 1361.7925 Lag = 3 mj.
## 697 2054-07-10 1361.7925 Lag = 3 mj.
## 698 2054-08-10 1361.7925 Lag = 3 mj.
## 699 2054-09-10 1361.7925 Lag = 3 mj.
## 700 2054-10-10 1361.7925 Lag = 3 mj.
## 701 2054-11-10 1361.7925 Lag = 3 mj.
## 702 2054-12-10 1361.7925 Lag = 3 mj.
## 703 2055-01-10 1361.7925 Lag = 3 mj.
## 704 2055-02-10 1361.7925 Lag = 3 mj.
## 705 2055-03-10 1361.7925 Lag = 3 mj.
## 706 2055-04-10 1361.7925 Lag = 3 mj.
## 707 2055-05-10 1361.7925 Lag = 3 mj.
## 708 2055-06-10 1361.7925 Lag = 3 mj.
## 709 2055-07-10 1361.7925 Lag = 3 mj.
## 710 2055-08-10 1361.7925 Lag = 3 mj.
## 711 2055-09-10 1361.7925 Lag = 3 mj.
## 712 2055-10-10 1361.7925 Lag = 3 mj.
## 713 2055-11-10 1361.7925 Lag = 3 mj.
## 714 2055-12-10 1361.7925 Lag = 3 mj.
## 715 2056-01-10 1361.7925 Lag = 3 mj.
## 716 2056-02-10 1361.7925 Lag = 3 mj.
## 717 2056-03-10 1361.7925 Lag = 3 mj.
## 718 2056-04-10 1361.7925 Lag = 3 mj.
## 719 2056-05-10 1361.7925 Lag = 3 mj.
## 720 2056-06-10 1361.7925 Lag = 3 mj.
## 721 2026-07-10 3623.1400 Lag = 6 mj.
## 722 2026-08-10 -334.2181 Lag = 6 mj.
## 723 2026-09-10 -334.2181 Lag = 6 mj.
## 724 2026-10-10 -334.2181 Lag = 6 mj.
## 725 2026-11-10 -334.2181 Lag = 6 mj.
## 726 2026-12-10 -334.2181 Lag = 6 mj.
## 727 2027-01-10 -334.2181 Lag = 6 mj.
## 728 2027-02-10 2633.8005 Lag = 6 mj.
## 729 2027-03-10 2633.8005 Lag = 6 mj.
## 730 2027-04-10 2633.8005 Lag = 6 mj.
## 731 2027-05-10 2633.8005 Lag = 6 mj.
## 732 2027-06-10 2633.8005 Lag = 6 mj.
## 733 2027-07-10 2633.8005 Lag = 6 mj.
## 734 2027-08-10 407.7865 Lag = 6 mj.
## 735 2027-09-10 407.7865 Lag = 6 mj.
## 736 2027-10-10 407.7865 Lag = 6 mj.
## 737 2027-11-10 407.7865 Lag = 6 mj.
## 738 2027-12-10 407.7865 Lag = 6 mj.
## 739 2028-01-10 407.7865 Lag = 6 mj.
## 740 2028-02-10 2077.2970 Lag = 6 mj.
## 741 2028-03-10 2077.2970 Lag = 6 mj.
## 742 2028-04-10 2077.2970 Lag = 6 mj.
## 743 2028-05-10 2077.2970 Lag = 6 mj.
## 744 2028-06-10 2077.2970 Lag = 6 mj.
## 745 2028-07-10 2077.2970 Lag = 6 mj.
## 746 2028-08-10 825.1641 Lag = 6 mj.
## 747 2028-09-10 825.1641 Lag = 6 mj.
## 748 2028-10-10 825.1641 Lag = 6 mj.
## 749 2028-11-10 825.1641 Lag = 6 mj.
## 750 2028-12-10 825.1641 Lag = 6 mj.
## 751 2029-01-10 825.1641 Lag = 6 mj.
## 752 2029-02-10 1764.2638 Lag = 6 mj.
## 753 2029-03-10 1764.2638 Lag = 6 mj.
## 754 2029-04-10 1764.2638 Lag = 6 mj.
## 755 2029-05-10 1764.2638 Lag = 6 mj.
## 756 2029-06-10 1764.2638 Lag = 6 mj.
## 757 2029-07-10 1764.2638 Lag = 6 mj.
## 758 2029-08-10 1059.9390 Lag = 6 mj.
## 759 2029-09-10 1059.9390 Lag = 6 mj.
## 760 2029-10-10 1059.9390 Lag = 6 mj.
## 761 2029-11-10 1059.9390 Lag = 6 mj.
## 762 2029-12-10 1059.9390 Lag = 6 mj.
## 763 2030-01-10 1059.9390 Lag = 6 mj.
## 764 2030-02-10 1588.1826 Lag = 6 mj.
## 765 2030-03-10 1588.1826 Lag = 6 mj.
## 766 2030-04-10 1588.1826 Lag = 6 mj.
## 767 2030-05-10 1588.1826 Lag = 6 mj.
## 768 2030-06-10 1588.1826 Lag = 6 mj.
## 769 2030-07-10 1588.1826 Lag = 6 mj.
## 770 2030-08-10 1191.9999 Lag = 6 mj.
## 771 2030-09-10 1191.9999 Lag = 6 mj.
## 772 2030-10-10 1191.9999 Lag = 6 mj.
## 773 2030-11-10 1191.9999 Lag = 6 mj.
## 774 2030-12-10 1191.9999 Lag = 6 mj.
## 775 2031-01-10 1191.9999 Lag = 6 mj.
## 776 2031-02-10 1489.1369 Lag = 6 mj.
## 777 2031-03-10 1489.1369 Lag = 6 mj.
## 778 2031-04-10 1489.1369 Lag = 6 mj.
## 779 2031-05-10 1489.1369 Lag = 6 mj.
## 780 2031-06-10 1489.1369 Lag = 6 mj.
## 781 2031-07-10 1489.1369 Lag = 6 mj.
## 782 2031-08-10 1266.2842 Lag = 6 mj.
## 783 2031-09-10 1266.2842 Lag = 6 mj.
## 784 2031-10-10 1266.2842 Lag = 6 mj.
## 785 2031-11-10 1266.2842 Lag = 6 mj.
## 786 2031-12-10 1266.2842 Lag = 6 mj.
## 787 2032-01-10 1266.2842 Lag = 6 mj.
## 788 2032-02-10 1433.4237 Lag = 6 mj.
## 789 2032-03-10 1433.4237 Lag = 6 mj.
## 790 2032-04-10 1433.4237 Lag = 6 mj.
## 791 2032-05-10 1433.4237 Lag = 6 mj.
## 792 2032-06-10 1433.4237 Lag = 6 mj.
## 793 2032-07-10 1433.4237 Lag = 6 mj.
## 794 2032-08-10 1308.0691 Lag = 6 mj.
## 795 2032-09-10 1308.0691 Lag = 6 mj.
## 796 2032-10-10 1308.0691 Lag = 6 mj.
## 797 2032-11-10 1308.0691 Lag = 6 mj.
## 798 2032-12-10 1308.0691 Lag = 6 mj.
## 799 2033-01-10 1308.0691 Lag = 6 mj.
## 800 2033-02-10 1402.0851 Lag = 6 mj.
## 801 2033-03-10 1402.0851 Lag = 6 mj.
## 802 2033-04-10 1402.0851 Lag = 6 mj.
## 803 2033-05-10 1402.0851 Lag = 6 mj.
## 804 2033-06-10 1402.0851 Lag = 6 mj.
## 805 2033-07-10 1402.0851 Lag = 6 mj.
## 806 2033-08-10 1331.5731 Lag = 6 mj.
## 807 2033-09-10 1331.5731 Lag = 6 mj.
## 808 2033-10-10 1331.5731 Lag = 6 mj.
## 809 2033-11-10 1331.5731 Lag = 6 mj.
## 810 2033-12-10 1331.5731 Lag = 6 mj.
## 811 2034-01-10 1331.5731 Lag = 6 mj.
## 812 2034-02-10 1384.4571 Lag = 6 mj.
## 813 2034-03-10 1384.4571 Lag = 6 mj.
## 814 2034-04-10 1384.4571 Lag = 6 mj.
## 815 2034-05-10 1384.4571 Lag = 6 mj.
## 816 2034-06-10 1384.4571 Lag = 6 mj.
## 817 2034-07-10 1384.4571 Lag = 6 mj.
## 818 2034-08-10 1344.7941 Lag = 6 mj.
## 819 2034-09-10 1344.7941 Lag = 6 mj.
## 820 2034-10-10 1344.7941 Lag = 6 mj.
## 821 2034-11-10 1344.7941 Lag = 6 mj.
## 822 2034-12-10 1344.7941 Lag = 6 mj.
## 823 2035-01-10 1344.7941 Lag = 6 mj.
## 824 2035-02-10 1374.5413 Lag = 6 mj.
## 825 2035-03-10 1374.5413 Lag = 6 mj.
## 826 2035-04-10 1374.5413 Lag = 6 mj.
## 827 2035-05-10 1374.5413 Lag = 6 mj.
## 828 2035-06-10 1374.5413 Lag = 6 mj.
## 829 2035-07-10 1374.5413 Lag = 6 mj.
## 830 2035-08-10 1352.2309 Lag = 6 mj.
## 831 2035-09-10 1352.2309 Lag = 6 mj.
## 832 2035-10-10 1352.2309 Lag = 6 mj.
## 833 2035-11-10 1352.2309 Lag = 6 mj.
## 834 2035-12-10 1352.2309 Lag = 6 mj.
## 835 2036-01-10 1352.2309 Lag = 6 mj.
## 836 2036-02-10 1368.9637 Lag = 6 mj.
## 837 2036-03-10 1368.9637 Lag = 6 mj.
## 838 2036-04-10 1368.9637 Lag = 6 mj.
## 839 2036-05-10 1368.9637 Lag = 6 mj.
## 840 2036-06-10 1368.9637 Lag = 6 mj.
## 841 2036-07-10 1368.9637 Lag = 6 mj.
## 842 2036-08-10 1356.4141 Lag = 6 mj.
## 843 2036-09-10 1356.4141 Lag = 6 mj.
## 844 2036-10-10 1356.4141 Lag = 6 mj.
## 845 2036-11-10 1356.4141 Lag = 6 mj.
## 846 2036-12-10 1356.4141 Lag = 6 mj.
## 847 2037-01-10 1356.4141 Lag = 6 mj.
## 848 2037-02-10 1365.8263 Lag = 6 mj.
## 849 2037-03-10 1365.8263 Lag = 6 mj.
## 850 2037-04-10 1365.8263 Lag = 6 mj.
## 851 2037-05-10 1365.8263 Lag = 6 mj.
## 852 2037-06-10 1365.8263 Lag = 6 mj.
## 853 2037-07-10 1365.8263 Lag = 6 mj.
## 854 2037-08-10 1358.7671 Lag = 6 mj.
## 855 2037-09-10 1358.7671 Lag = 6 mj.
## 856 2037-10-10 1358.7671 Lag = 6 mj.
## 857 2037-11-10 1358.7671 Lag = 6 mj.
## 858 2037-12-10 1358.7671 Lag = 6 mj.
## 859 2038-01-10 1358.7671 Lag = 6 mj.
## 860 2038-02-10 1364.0615 Lag = 6 mj.
## 861 2038-03-10 1364.0615 Lag = 6 mj.
## 862 2038-04-10 1364.0615 Lag = 6 mj.
## 863 2038-05-10 1364.0615 Lag = 6 mj.
## 864 2038-06-10 1364.0615 Lag = 6 mj.
## 865 2038-07-10 1364.0615 Lag = 6 mj.
## 866 2038-08-10 1360.0907 Lag = 6 mj.
## 867 2038-09-10 1360.0907 Lag = 6 mj.
## 868 2038-10-10 1360.0907 Lag = 6 mj.
## 869 2038-11-10 1360.0907 Lag = 6 mj.
## 870 2038-12-10 1360.0907 Lag = 6 mj.
## 871 2039-01-10 1360.0907 Lag = 6 mj.
## 872 2039-02-10 1363.0688 Lag = 6 mj.
## 873 2039-03-10 1363.0688 Lag = 6 mj.
## 874 2039-04-10 1363.0688 Lag = 6 mj.
## 875 2039-05-10 1363.0688 Lag = 6 mj.
## 876 2039-06-10 1363.0688 Lag = 6 mj.
## 877 2039-07-10 1363.0688 Lag = 6 mj.
## 878 2039-08-10 1360.8353 Lag = 6 mj.
## 879 2039-09-10 1360.8353 Lag = 6 mj.
## 880 2039-10-10 1360.8353 Lag = 6 mj.
## 881 2039-11-10 1360.8353 Lag = 6 mj.
## 882 2039-12-10 1360.8353 Lag = 6 mj.
## 883 2040-01-10 1360.8353 Lag = 6 mj.
## 884 2040-02-10 1362.5104 Lag = 6 mj.
## 885 2040-03-10 1362.5104 Lag = 6 mj.
## 886 2040-04-10 1362.5104 Lag = 6 mj.
## 887 2040-05-10 1362.5104 Lag = 6 mj.
## 888 2040-06-10 1362.5104 Lag = 6 mj.
## 889 2040-07-10 1362.5104 Lag = 6 mj.
## 890 2040-08-10 1361.2541 Lag = 6 mj.
## 891 2040-09-10 1361.2541 Lag = 6 mj.
## 892 2040-10-10 1361.2541 Lag = 6 mj.
## 893 2040-11-10 1361.2541 Lag = 6 mj.
## 894 2040-12-10 1361.2541 Lag = 6 mj.
## 895 2041-01-10 1361.2541 Lag = 6 mj.
## 896 2041-02-10 1362.1963 Lag = 6 mj.
## 897 2041-03-10 1362.1963 Lag = 6 mj.
## 898 2041-04-10 1362.1963 Lag = 6 mj.
## 899 2041-05-10 1362.1963 Lag = 6 mj.
## 900 2041-06-10 1362.1963 Lag = 6 mj.
## 901 2041-07-10 1362.1963 Lag = 6 mj.
## 902 2041-08-10 1361.4896 Lag = 6 mj.
## 903 2041-09-10 1361.4896 Lag = 6 mj.
## 904 2041-10-10 1361.4896 Lag = 6 mj.
## 905 2041-11-10 1361.4896 Lag = 6 mj.
## 906 2041-12-10 1361.4896 Lag = 6 mj.
## 907 2042-01-10 1361.4896 Lag = 6 mj.
## 908 2042-02-10 1362.0197 Lag = 6 mj.
## 909 2042-03-10 1362.0197 Lag = 6 mj.
## 910 2042-04-10 1362.0197 Lag = 6 mj.
## 911 2042-05-10 1362.0197 Lag = 6 mj.
## 912 2042-06-10 1362.0197 Lag = 6 mj.
## 913 2042-07-10 1362.0197 Lag = 6 mj.
## 914 2042-08-10 1361.6221 Lag = 6 mj.
## 915 2042-09-10 1361.6221 Lag = 6 mj.
## 916 2042-10-10 1361.6221 Lag = 6 mj.
## 917 2042-11-10 1361.6221 Lag = 6 mj.
## 918 2042-12-10 1361.6221 Lag = 6 mj.
## 919 2043-01-10 1361.6221 Lag = 6 mj.
## 920 2043-02-10 1361.9203 Lag = 6 mj.
## 921 2043-03-10 1361.9203 Lag = 6 mj.
## 922 2043-04-10 1361.9203 Lag = 6 mj.
## 923 2043-05-10 1361.9203 Lag = 6 mj.
## 924 2043-06-10 1361.9203 Lag = 6 mj.
## 925 2043-07-10 1361.9203 Lag = 6 mj.
## 926 2043-08-10 1361.6967 Lag = 6 mj.
## 927 2043-09-10 1361.6967 Lag = 6 mj.
## 928 2043-10-10 1361.6967 Lag = 6 mj.
## 929 2043-11-10 1361.6967 Lag = 6 mj.
## 930 2043-12-10 1361.6967 Lag = 6 mj.
## 931 2044-01-10 1361.6967 Lag = 6 mj.
## 932 2044-02-10 1361.8644 Lag = 6 mj.
## 933 2044-03-10 1361.8644 Lag = 6 mj.
## 934 2044-04-10 1361.8644 Lag = 6 mj.
## 935 2044-05-10 1361.8644 Lag = 6 mj.
## 936 2044-06-10 1361.8644 Lag = 6 mj.
## 937 2044-07-10 1361.8644 Lag = 6 mj.
## 938 2044-08-10 1361.7386 Lag = 6 mj.
## 939 2044-09-10 1361.7386 Lag = 6 mj.
## 940 2044-10-10 1361.7386 Lag = 6 mj.
## 941 2044-11-10 1361.7386 Lag = 6 mj.
## 942 2044-12-10 1361.7386 Lag = 6 mj.
## 943 2045-01-10 1361.7386 Lag = 6 mj.
## 944 2045-02-10 1361.8329 Lag = 6 mj.
## 945 2045-03-10 1361.8329 Lag = 6 mj.
## 946 2045-04-10 1361.8329 Lag = 6 mj.
## 947 2045-05-10 1361.8329 Lag = 6 mj.
## 948 2045-06-10 1361.8329 Lag = 6 mj.
## 949 2045-07-10 1361.8329 Lag = 6 mj.
## 950 2045-08-10 1361.7622 Lag = 6 mj.
## 951 2045-09-10 1361.7622 Lag = 6 mj.
## 952 2045-10-10 1361.7622 Lag = 6 mj.
## 953 2045-11-10 1361.7622 Lag = 6 mj.
## 954 2045-12-10 1361.7622 Lag = 6 mj.
## 955 2046-01-10 1361.7622 Lag = 6 mj.
## 956 2046-02-10 1361.8152 Lag = 6 mj.
## 957 2046-03-10 1361.8152 Lag = 6 mj.
## 958 2046-04-10 1361.8152 Lag = 6 mj.
## 959 2046-05-10 1361.8152 Lag = 6 mj.
## 960 2046-06-10 1361.8152 Lag = 6 mj.
## 961 2046-07-10 1361.8152 Lag = 6 mj.
## 962 2046-08-10 1361.7754 Lag = 6 mj.
## 963 2046-09-10 1361.7754 Lag = 6 mj.
## 964 2046-10-10 1361.7754 Lag = 6 mj.
## 965 2046-11-10 1361.7754 Lag = 6 mj.
## 966 2046-12-10 1361.7754 Lag = 6 mj.
## 967 2047-01-10 1361.7754 Lag = 6 mj.
## 968 2047-02-10 1361.8053 Lag = 6 mj.
## 969 2047-03-10 1361.8053 Lag = 6 mj.
## 970 2047-04-10 1361.8053 Lag = 6 mj.
## 971 2047-05-10 1361.8053 Lag = 6 mj.
## 972 2047-06-10 1361.8053 Lag = 6 mj.
## 973 2047-07-10 1361.8053 Lag = 6 mj.
## 974 2047-08-10 1361.7829 Lag = 6 mj.
## 975 2047-09-10 1361.7829 Lag = 6 mj.
## 976 2047-10-10 1361.7829 Lag = 6 mj.
## 977 2047-11-10 1361.7829 Lag = 6 mj.
## 978 2047-12-10 1361.7829 Lag = 6 mj.
## 979 2048-01-10 1361.7829 Lag = 6 mj.
## 980 2048-02-10 1361.7997 Lag = 6 mj.
## 981 2048-03-10 1361.7997 Lag = 6 mj.
## 982 2048-04-10 1361.7997 Lag = 6 mj.
## 983 2048-05-10 1361.7997 Lag = 6 mj.
## 984 2048-06-10 1361.7997 Lag = 6 mj.
## 985 2048-07-10 1361.7997 Lag = 6 mj.
## 986 2048-08-10 1361.7871 Lag = 6 mj.
## 987 2048-09-10 1361.7871 Lag = 6 mj.
## 988 2048-10-10 1361.7871 Lag = 6 mj.
## 989 2048-11-10 1361.7871 Lag = 6 mj.
## 990 2048-12-10 1361.7871 Lag = 6 mj.
## 991 2049-01-10 1361.7871 Lag = 6 mj.
## 992 2049-02-10 1361.7965 Lag = 6 mj.
## 993 2049-03-10 1361.7965 Lag = 6 mj.
## 994 2049-04-10 1361.7965 Lag = 6 mj.
## 995 2049-05-10 1361.7965 Lag = 6 mj.
## 996 2049-06-10 1361.7965 Lag = 6 mj.
## 997 2049-07-10 1361.7965 Lag = 6 mj.
## 998 2049-08-10 1361.7895 Lag = 6 mj.
## 999 2049-09-10 1361.7895 Lag = 6 mj.
## 1000 2049-10-10 1361.7895 Lag = 6 mj.
## 1001 2049-11-10 1361.7895 Lag = 6 mj.
## 1002 2049-12-10 1361.7895 Lag = 6 mj.
## 1003 2050-01-10 1361.7895 Lag = 6 mj.
## 1004 2050-02-10 1361.7948 Lag = 6 mj.
## 1005 2050-03-10 1361.7948 Lag = 6 mj.
## 1006 2050-04-10 1361.7948 Lag = 6 mj.
## 1007 2050-05-10 1361.7948 Lag = 6 mj.
## 1008 2050-06-10 1361.7948 Lag = 6 mj.
## 1009 2050-07-10 1361.7948 Lag = 6 mj.
## 1010 2050-08-10 1361.7908 Lag = 6 mj.
## 1011 2050-09-10 1361.7908 Lag = 6 mj.
## 1012 2050-10-10 1361.7908 Lag = 6 mj.
## 1013 2050-11-10 1361.7908 Lag = 6 mj.
## 1014 2050-12-10 1361.7908 Lag = 6 mj.
## 1015 2051-01-10 1361.7908 Lag = 6 mj.
## 1016 2051-02-10 1361.7938 Lag = 6 mj.
## 1017 2051-03-10 1361.7938 Lag = 6 mj.
## 1018 2051-04-10 1361.7938 Lag = 6 mj.
## 1019 2051-05-10 1361.7938 Lag = 6 mj.
## 1020 2051-06-10 1361.7938 Lag = 6 mj.
## 1021 2051-07-10 1361.7938 Lag = 6 mj.
## 1022 2051-08-10 1361.7915 Lag = 6 mj.
## 1023 2051-09-10 1361.7915 Lag = 6 mj.
## 1024 2051-10-10 1361.7915 Lag = 6 mj.
## 1025 2051-11-10 1361.7915 Lag = 6 mj.
## 1026 2051-12-10 1361.7915 Lag = 6 mj.
## 1027 2052-01-10 1361.7915 Lag = 6 mj.
## 1028 2052-02-10 1361.7932 Lag = 6 mj.
## 1029 2052-03-10 1361.7932 Lag = 6 mj.
## 1030 2052-04-10 1361.7932 Lag = 6 mj.
## 1031 2052-05-10 1361.7932 Lag = 6 mj.
## 1032 2052-06-10 1361.7932 Lag = 6 mj.
## 1033 2052-07-10 1361.7932 Lag = 6 mj.
## 1034 2052-08-10 1361.7920 Lag = 6 mj.
## 1035 2052-09-10 1361.7920 Lag = 6 mj.
## 1036 2052-10-10 1361.7920 Lag = 6 mj.
## 1037 2052-11-10 1361.7920 Lag = 6 mj.
## 1038 2052-12-10 1361.7920 Lag = 6 mj.
## 1039 2053-01-10 1361.7920 Lag = 6 mj.
## 1040 2053-02-10 1361.7929 Lag = 6 mj.
## 1041 2053-03-10 1361.7929 Lag = 6 mj.
## 1042 2053-04-10 1361.7929 Lag = 6 mj.
## 1043 2053-05-10 1361.7929 Lag = 6 mj.
## 1044 2053-06-10 1361.7929 Lag = 6 mj.
## 1045 2053-07-10 1361.7929 Lag = 6 mj.
## 1046 2053-08-10 1361.7922 Lag = 6 mj.
## 1047 2053-09-10 1361.7922 Lag = 6 mj.
## 1048 2053-10-10 1361.7922 Lag = 6 mj.
## 1049 2053-11-10 1361.7922 Lag = 6 mj.
## 1050 2053-12-10 1361.7922 Lag = 6 mj.
## 1051 2054-01-10 1361.7922 Lag = 6 mj.
## 1052 2054-02-10 1361.7927 Lag = 6 mj.
## 1053 2054-03-10 1361.7927 Lag = 6 mj.
## 1054 2054-04-10 1361.7927 Lag = 6 mj.
## 1055 2054-05-10 1361.7927 Lag = 6 mj.
## 1056 2054-06-10 1361.7927 Lag = 6 mj.
## 1057 2054-07-10 1361.7927 Lag = 6 mj.
## 1058 2054-08-10 1361.7923 Lag = 6 mj.
## 1059 2054-09-10 1361.7923 Lag = 6 mj.
## 1060 2054-10-10 1361.7923 Lag = 6 mj.
## 1061 2054-11-10 1361.7923 Lag = 6 mj.
## 1062 2054-12-10 1361.7923 Lag = 6 mj.
## 1063 2055-01-10 1361.7923 Lag = 6 mj.
## 1064 2055-02-10 1361.7926 Lag = 6 mj.
## 1065 2055-03-10 1361.7926 Lag = 6 mj.
## 1066 2055-04-10 1361.7926 Lag = 6 mj.
## 1067 2055-05-10 1361.7926 Lag = 6 mj.
## 1068 2055-06-10 1361.7926 Lag = 6 mj.
## 1069 2055-07-10 1361.7926 Lag = 6 mj.
## 1070 2055-08-10 1361.7924 Lag = 6 mj.
## 1071 2055-09-10 1361.7924 Lag = 6 mj.
## 1072 2055-10-10 1361.7924 Lag = 6 mj.
## 1073 2055-11-10 1361.7924 Lag = 6 mj.
## 1074 2055-12-10 1361.7924 Lag = 6 mj.
## 1075 2056-01-10 1361.7924 Lag = 6 mj.
## 1076 2056-02-10 1361.7926 Lag = 6 mj.
## 1077 2056-03-10 1361.7926 Lag = 6 mj.
## 1078 2056-04-10 1361.7926 Lag = 6 mj.
## 1079 2056-05-10 1361.7926 Lag = 6 mj.
## 1080 2056-06-10 1361.7926 Lag = 6 mj.
## 1081 2026-07-10 3623.1400 Lag = 12 mj.
## 1082 2026-08-10 -334.2181 Lag = 12 mj.
## 1083 2026-09-10 -334.2181 Lag = 12 mj.
## 1084 2026-10-10 -334.2181 Lag = 12 mj.
## 1085 2026-11-10 -334.2181 Lag = 12 mj.
## 1086 2026-12-10 -334.2181 Lag = 12 mj.
## 1087 2027-01-10 -334.2181 Lag = 12 mj.
## 1088 2027-02-10 -334.2181 Lag = 12 mj.
## 1089 2027-03-10 -334.2181 Lag = 12 mj.
## 1090 2027-04-10 -334.2181 Lag = 12 mj.
## 1091 2027-05-10 -334.2181 Lag = 12 mj.
## 1092 2027-06-10 -334.2181 Lag = 12 mj.
## 1093 2027-07-10 -334.2181 Lag = 12 mj.
## 1094 2027-08-10 2633.8005 Lag = 12 mj.
## 1095 2027-09-10 2633.8005 Lag = 12 mj.
## 1096 2027-10-10 2633.8005 Lag = 12 mj.
## 1097 2027-11-10 2633.8005 Lag = 12 mj.
## 1098 2027-12-10 2633.8005 Lag = 12 mj.
## 1099 2028-01-10 2633.8005 Lag = 12 mj.
## 1100 2028-02-10 2633.8005 Lag = 12 mj.
## 1101 2028-03-10 2633.8005 Lag = 12 mj.
## 1102 2028-04-10 2633.8005 Lag = 12 mj.
## 1103 2028-05-10 2633.8005 Lag = 12 mj.
## 1104 2028-06-10 2633.8005 Lag = 12 mj.
## 1105 2028-07-10 2633.8005 Lag = 12 mj.
## 1106 2028-08-10 407.7865 Lag = 12 mj.
## 1107 2028-09-10 407.7865 Lag = 12 mj.
## 1108 2028-10-10 407.7865 Lag = 12 mj.
## 1109 2028-11-10 407.7865 Lag = 12 mj.
## 1110 2028-12-10 407.7865 Lag = 12 mj.
## 1111 2029-01-10 407.7865 Lag = 12 mj.
## 1112 2029-02-10 407.7865 Lag = 12 mj.
## 1113 2029-03-10 407.7865 Lag = 12 mj.
## 1114 2029-04-10 407.7865 Lag = 12 mj.
## 1115 2029-05-10 407.7865 Lag = 12 mj.
## 1116 2029-06-10 407.7865 Lag = 12 mj.
## 1117 2029-07-10 407.7865 Lag = 12 mj.
## 1118 2029-08-10 2077.2970 Lag = 12 mj.
## 1119 2029-09-10 2077.2970 Lag = 12 mj.
## 1120 2029-10-10 2077.2970 Lag = 12 mj.
## 1121 2029-11-10 2077.2970 Lag = 12 mj.
## 1122 2029-12-10 2077.2970 Lag = 12 mj.
## 1123 2030-01-10 2077.2970 Lag = 12 mj.
## 1124 2030-02-10 2077.2970 Lag = 12 mj.
## 1125 2030-03-10 2077.2970 Lag = 12 mj.
## 1126 2030-04-10 2077.2970 Lag = 12 mj.
## 1127 2030-05-10 2077.2970 Lag = 12 mj.
## 1128 2030-06-10 2077.2970 Lag = 12 mj.
## 1129 2030-07-10 2077.2970 Lag = 12 mj.
## 1130 2030-08-10 825.1641 Lag = 12 mj.
## 1131 2030-09-10 825.1641 Lag = 12 mj.
## 1132 2030-10-10 825.1641 Lag = 12 mj.
## 1133 2030-11-10 825.1641 Lag = 12 mj.
## 1134 2030-12-10 825.1641 Lag = 12 mj.
## 1135 2031-01-10 825.1641 Lag = 12 mj.
## 1136 2031-02-10 825.1641 Lag = 12 mj.
## 1137 2031-03-10 825.1641 Lag = 12 mj.
## 1138 2031-04-10 825.1641 Lag = 12 mj.
## 1139 2031-05-10 825.1641 Lag = 12 mj.
## 1140 2031-06-10 825.1641 Lag = 12 mj.
## 1141 2031-07-10 825.1641 Lag = 12 mj.
## 1142 2031-08-10 1764.2638 Lag = 12 mj.
## 1143 2031-09-10 1764.2638 Lag = 12 mj.
## 1144 2031-10-10 1764.2638 Lag = 12 mj.
## 1145 2031-11-10 1764.2638 Lag = 12 mj.
## 1146 2031-12-10 1764.2638 Lag = 12 mj.
## 1147 2032-01-10 1764.2638 Lag = 12 mj.
## 1148 2032-02-10 1764.2638 Lag = 12 mj.
## 1149 2032-03-10 1764.2638 Lag = 12 mj.
## 1150 2032-04-10 1764.2638 Lag = 12 mj.
## 1151 2032-05-10 1764.2638 Lag = 12 mj.
## 1152 2032-06-10 1764.2638 Lag = 12 mj.
## 1153 2032-07-10 1764.2638 Lag = 12 mj.
## 1154 2032-08-10 1059.9390 Lag = 12 mj.
## 1155 2032-09-10 1059.9390 Lag = 12 mj.
## 1156 2032-10-10 1059.9390 Lag = 12 mj.
## 1157 2032-11-10 1059.9390 Lag = 12 mj.
## 1158 2032-12-10 1059.9390 Lag = 12 mj.
## 1159 2033-01-10 1059.9390 Lag = 12 mj.
## 1160 2033-02-10 1059.9390 Lag = 12 mj.
## 1161 2033-03-10 1059.9390 Lag = 12 mj.
## 1162 2033-04-10 1059.9390 Lag = 12 mj.
## 1163 2033-05-10 1059.9390 Lag = 12 mj.
## 1164 2033-06-10 1059.9390 Lag = 12 mj.
## 1165 2033-07-10 1059.9390 Lag = 12 mj.
## 1166 2033-08-10 1588.1826 Lag = 12 mj.
## 1167 2033-09-10 1588.1826 Lag = 12 mj.
## 1168 2033-10-10 1588.1826 Lag = 12 mj.
## 1169 2033-11-10 1588.1826 Lag = 12 mj.
## 1170 2033-12-10 1588.1826 Lag = 12 mj.
## 1171 2034-01-10 1588.1826 Lag = 12 mj.
## 1172 2034-02-10 1588.1826 Lag = 12 mj.
## 1173 2034-03-10 1588.1826 Lag = 12 mj.
## 1174 2034-04-10 1588.1826 Lag = 12 mj.
## 1175 2034-05-10 1588.1826 Lag = 12 mj.
## 1176 2034-06-10 1588.1826 Lag = 12 mj.
## 1177 2034-07-10 1588.1826 Lag = 12 mj.
## 1178 2034-08-10 1191.9999 Lag = 12 mj.
## 1179 2034-09-10 1191.9999 Lag = 12 mj.
## 1180 2034-10-10 1191.9999 Lag = 12 mj.
## 1181 2034-11-10 1191.9999 Lag = 12 mj.
## 1182 2034-12-10 1191.9999 Lag = 12 mj.
## 1183 2035-01-10 1191.9999 Lag = 12 mj.
## 1184 2035-02-10 1191.9999 Lag = 12 mj.
## 1185 2035-03-10 1191.9999 Lag = 12 mj.
## 1186 2035-04-10 1191.9999 Lag = 12 mj.
## 1187 2035-05-10 1191.9999 Lag = 12 mj.
## 1188 2035-06-10 1191.9999 Lag = 12 mj.
## 1189 2035-07-10 1191.9999 Lag = 12 mj.
## 1190 2035-08-10 1489.1369 Lag = 12 mj.
## 1191 2035-09-10 1489.1369 Lag = 12 mj.
## 1192 2035-10-10 1489.1369 Lag = 12 mj.
## 1193 2035-11-10 1489.1369 Lag = 12 mj.
## 1194 2035-12-10 1489.1369 Lag = 12 mj.
## 1195 2036-01-10 1489.1369 Lag = 12 mj.
## 1196 2036-02-10 1489.1369 Lag = 12 mj.
## 1197 2036-03-10 1489.1369 Lag = 12 mj.
## 1198 2036-04-10 1489.1369 Lag = 12 mj.
## 1199 2036-05-10 1489.1369 Lag = 12 mj.
## 1200 2036-06-10 1489.1369 Lag = 12 mj.
## 1201 2036-07-10 1489.1369 Lag = 12 mj.
## 1202 2036-08-10 1266.2842 Lag = 12 mj.
## 1203 2036-09-10 1266.2842 Lag = 12 mj.
## 1204 2036-10-10 1266.2842 Lag = 12 mj.
## 1205 2036-11-10 1266.2842 Lag = 12 mj.
## 1206 2036-12-10 1266.2842 Lag = 12 mj.
## 1207 2037-01-10 1266.2842 Lag = 12 mj.
## 1208 2037-02-10 1266.2842 Lag = 12 mj.
## 1209 2037-03-10 1266.2842 Lag = 12 mj.
## 1210 2037-04-10 1266.2842 Lag = 12 mj.
## 1211 2037-05-10 1266.2842 Lag = 12 mj.
## 1212 2037-06-10 1266.2842 Lag = 12 mj.
## 1213 2037-07-10 1266.2842 Lag = 12 mj.
## 1214 2037-08-10 1433.4237 Lag = 12 mj.
## 1215 2037-09-10 1433.4237 Lag = 12 mj.
## 1216 2037-10-10 1433.4237 Lag = 12 mj.
## 1217 2037-11-10 1433.4237 Lag = 12 mj.
## 1218 2037-12-10 1433.4237 Lag = 12 mj.
## 1219 2038-01-10 1433.4237 Lag = 12 mj.
## 1220 2038-02-10 1433.4237 Lag = 12 mj.
## 1221 2038-03-10 1433.4237 Lag = 12 mj.
## 1222 2038-04-10 1433.4237 Lag = 12 mj.
## 1223 2038-05-10 1433.4237 Lag = 12 mj.
## 1224 2038-06-10 1433.4237 Lag = 12 mj.
## 1225 2038-07-10 1433.4237 Lag = 12 mj.
## 1226 2038-08-10 1308.0691 Lag = 12 mj.
## 1227 2038-09-10 1308.0691 Lag = 12 mj.
## 1228 2038-10-10 1308.0691 Lag = 12 mj.
## 1229 2038-11-10 1308.0691 Lag = 12 mj.
## 1230 2038-12-10 1308.0691 Lag = 12 mj.
## 1231 2039-01-10 1308.0691 Lag = 12 mj.
## 1232 2039-02-10 1308.0691 Lag = 12 mj.
## 1233 2039-03-10 1308.0691 Lag = 12 mj.
## 1234 2039-04-10 1308.0691 Lag = 12 mj.
## 1235 2039-05-10 1308.0691 Lag = 12 mj.
## 1236 2039-06-10 1308.0691 Lag = 12 mj.
## 1237 2039-07-10 1308.0691 Lag = 12 mj.
## 1238 2039-08-10 1402.0851 Lag = 12 mj.
## 1239 2039-09-10 1402.0851 Lag = 12 mj.
## 1240 2039-10-10 1402.0851 Lag = 12 mj.
## 1241 2039-11-10 1402.0851 Lag = 12 mj.
## 1242 2039-12-10 1402.0851 Lag = 12 mj.
## 1243 2040-01-10 1402.0851 Lag = 12 mj.
## 1244 2040-02-10 1402.0851 Lag = 12 mj.
## 1245 2040-03-10 1402.0851 Lag = 12 mj.
## 1246 2040-04-10 1402.0851 Lag = 12 mj.
## 1247 2040-05-10 1402.0851 Lag = 12 mj.
## 1248 2040-06-10 1402.0851 Lag = 12 mj.
## 1249 2040-07-10 1402.0851 Lag = 12 mj.
## 1250 2040-08-10 1331.5731 Lag = 12 mj.
## 1251 2040-09-10 1331.5731 Lag = 12 mj.
## 1252 2040-10-10 1331.5731 Lag = 12 mj.
## 1253 2040-11-10 1331.5731 Lag = 12 mj.
## 1254 2040-12-10 1331.5731 Lag = 12 mj.
## 1255 2041-01-10 1331.5731 Lag = 12 mj.
## 1256 2041-02-10 1331.5731 Lag = 12 mj.
## 1257 2041-03-10 1331.5731 Lag = 12 mj.
## 1258 2041-04-10 1331.5731 Lag = 12 mj.
## 1259 2041-05-10 1331.5731 Lag = 12 mj.
## 1260 2041-06-10 1331.5731 Lag = 12 mj.
## 1261 2041-07-10 1331.5731 Lag = 12 mj.
## 1262 2041-08-10 1384.4571 Lag = 12 mj.
## 1263 2041-09-10 1384.4571 Lag = 12 mj.
## 1264 2041-10-10 1384.4571 Lag = 12 mj.
## 1265 2041-11-10 1384.4571 Lag = 12 mj.
## 1266 2041-12-10 1384.4571 Lag = 12 mj.
## 1267 2042-01-10 1384.4571 Lag = 12 mj.
## 1268 2042-02-10 1384.4571 Lag = 12 mj.
## 1269 2042-03-10 1384.4571 Lag = 12 mj.
## 1270 2042-04-10 1384.4571 Lag = 12 mj.
## 1271 2042-05-10 1384.4571 Lag = 12 mj.
## 1272 2042-06-10 1384.4571 Lag = 12 mj.
## 1273 2042-07-10 1384.4571 Lag = 12 mj.
## 1274 2042-08-10 1344.7941 Lag = 12 mj.
## 1275 2042-09-10 1344.7941 Lag = 12 mj.
## 1276 2042-10-10 1344.7941 Lag = 12 mj.
## 1277 2042-11-10 1344.7941 Lag = 12 mj.
## 1278 2042-12-10 1344.7941 Lag = 12 mj.
## 1279 2043-01-10 1344.7941 Lag = 12 mj.
## 1280 2043-02-10 1344.7941 Lag = 12 mj.
## 1281 2043-03-10 1344.7941 Lag = 12 mj.
## 1282 2043-04-10 1344.7941 Lag = 12 mj.
## 1283 2043-05-10 1344.7941 Lag = 12 mj.
## 1284 2043-06-10 1344.7941 Lag = 12 mj.
## 1285 2043-07-10 1344.7941 Lag = 12 mj.
## 1286 2043-08-10 1374.5413 Lag = 12 mj.
## 1287 2043-09-10 1374.5413 Lag = 12 mj.
## 1288 2043-10-10 1374.5413 Lag = 12 mj.
## 1289 2043-11-10 1374.5413 Lag = 12 mj.
## 1290 2043-12-10 1374.5413 Lag = 12 mj.
## 1291 2044-01-10 1374.5413 Lag = 12 mj.
## 1292 2044-02-10 1374.5413 Lag = 12 mj.
## 1293 2044-03-10 1374.5413 Lag = 12 mj.
## 1294 2044-04-10 1374.5413 Lag = 12 mj.
## 1295 2044-05-10 1374.5413 Lag = 12 mj.
## 1296 2044-06-10 1374.5413 Lag = 12 mj.
## 1297 2044-07-10 1374.5413 Lag = 12 mj.
## 1298 2044-08-10 1352.2309 Lag = 12 mj.
## 1299 2044-09-10 1352.2309 Lag = 12 mj.
## 1300 2044-10-10 1352.2309 Lag = 12 mj.
## 1301 2044-11-10 1352.2309 Lag = 12 mj.
## 1302 2044-12-10 1352.2309 Lag = 12 mj.
## 1303 2045-01-10 1352.2309 Lag = 12 mj.
## 1304 2045-02-10 1352.2309 Lag = 12 mj.
## 1305 2045-03-10 1352.2309 Lag = 12 mj.
## 1306 2045-04-10 1352.2309 Lag = 12 mj.
## 1307 2045-05-10 1352.2309 Lag = 12 mj.
## 1308 2045-06-10 1352.2309 Lag = 12 mj.
## 1309 2045-07-10 1352.2309 Lag = 12 mj.
## 1310 2045-08-10 1368.9637 Lag = 12 mj.
## 1311 2045-09-10 1368.9637 Lag = 12 mj.
## 1312 2045-10-10 1368.9637 Lag = 12 mj.
## 1313 2045-11-10 1368.9637 Lag = 12 mj.
## 1314 2045-12-10 1368.9637 Lag = 12 mj.
## 1315 2046-01-10 1368.9637 Lag = 12 mj.
## 1316 2046-02-10 1368.9637 Lag = 12 mj.
## 1317 2046-03-10 1368.9637 Lag = 12 mj.
## 1318 2046-04-10 1368.9637 Lag = 12 mj.
## 1319 2046-05-10 1368.9637 Lag = 12 mj.
## 1320 2046-06-10 1368.9637 Lag = 12 mj.
## 1321 2046-07-10 1368.9637 Lag = 12 mj.
## 1322 2046-08-10 1356.4141 Lag = 12 mj.
## 1323 2046-09-10 1356.4141 Lag = 12 mj.
## 1324 2046-10-10 1356.4141 Lag = 12 mj.
## 1325 2046-11-10 1356.4141 Lag = 12 mj.
## 1326 2046-12-10 1356.4141 Lag = 12 mj.
## 1327 2047-01-10 1356.4141 Lag = 12 mj.
## 1328 2047-02-10 1356.4141 Lag = 12 mj.
## 1329 2047-03-10 1356.4141 Lag = 12 mj.
## 1330 2047-04-10 1356.4141 Lag = 12 mj.
## 1331 2047-05-10 1356.4141 Lag = 12 mj.
## 1332 2047-06-10 1356.4141 Lag = 12 mj.
## 1333 2047-07-10 1356.4141 Lag = 12 mj.
## 1334 2047-08-10 1365.8263 Lag = 12 mj.
## 1335 2047-09-10 1365.8263 Lag = 12 mj.
## 1336 2047-10-10 1365.8263 Lag = 12 mj.
## 1337 2047-11-10 1365.8263 Lag = 12 mj.
## 1338 2047-12-10 1365.8263 Lag = 12 mj.
## 1339 2048-01-10 1365.8263 Lag = 12 mj.
## 1340 2048-02-10 1365.8263 Lag = 12 mj.
## 1341 2048-03-10 1365.8263 Lag = 12 mj.
## 1342 2048-04-10 1365.8263 Lag = 12 mj.
## 1343 2048-05-10 1365.8263 Lag = 12 mj.
## 1344 2048-06-10 1365.8263 Lag = 12 mj.
## 1345 2048-07-10 1365.8263 Lag = 12 mj.
## 1346 2048-08-10 1358.7671 Lag = 12 mj.
## 1347 2048-09-10 1358.7671 Lag = 12 mj.
## 1348 2048-10-10 1358.7671 Lag = 12 mj.
## 1349 2048-11-10 1358.7671 Lag = 12 mj.
## 1350 2048-12-10 1358.7671 Lag = 12 mj.
## 1351 2049-01-10 1358.7671 Lag = 12 mj.
## 1352 2049-02-10 1358.7671 Lag = 12 mj.
## 1353 2049-03-10 1358.7671 Lag = 12 mj.
## 1354 2049-04-10 1358.7671 Lag = 12 mj.
## 1355 2049-05-10 1358.7671 Lag = 12 mj.
## 1356 2049-06-10 1358.7671 Lag = 12 mj.
## 1357 2049-07-10 1358.7671 Lag = 12 mj.
## 1358 2049-08-10 1364.0615 Lag = 12 mj.
## 1359 2049-09-10 1364.0615 Lag = 12 mj.
## 1360 2049-10-10 1364.0615 Lag = 12 mj.
## 1361 2049-11-10 1364.0615 Lag = 12 mj.
## 1362 2049-12-10 1364.0615 Lag = 12 mj.
## 1363 2050-01-10 1364.0615 Lag = 12 mj.
## 1364 2050-02-10 1364.0615 Lag = 12 mj.
## 1365 2050-03-10 1364.0615 Lag = 12 mj.
## 1366 2050-04-10 1364.0615 Lag = 12 mj.
## 1367 2050-05-10 1364.0615 Lag = 12 mj.
## 1368 2050-06-10 1364.0615 Lag = 12 mj.
## 1369 2050-07-10 1364.0615 Lag = 12 mj.
## 1370 2050-08-10 1360.0907 Lag = 12 mj.
## 1371 2050-09-10 1360.0907 Lag = 12 mj.
## 1372 2050-10-10 1360.0907 Lag = 12 mj.
## 1373 2050-11-10 1360.0907 Lag = 12 mj.
## 1374 2050-12-10 1360.0907 Lag = 12 mj.
## 1375 2051-01-10 1360.0907 Lag = 12 mj.
## 1376 2051-02-10 1360.0907 Lag = 12 mj.
## 1377 2051-03-10 1360.0907 Lag = 12 mj.
## 1378 2051-04-10 1360.0907 Lag = 12 mj.
## 1379 2051-05-10 1360.0907 Lag = 12 mj.
## 1380 2051-06-10 1360.0907 Lag = 12 mj.
## 1381 2051-07-10 1360.0907 Lag = 12 mj.
## 1382 2051-08-10 1363.0688 Lag = 12 mj.
## 1383 2051-09-10 1363.0688 Lag = 12 mj.
## 1384 2051-10-10 1363.0688 Lag = 12 mj.
## 1385 2051-11-10 1363.0688 Lag = 12 mj.
## 1386 2051-12-10 1363.0688 Lag = 12 mj.
## 1387 2052-01-10 1363.0688 Lag = 12 mj.
## 1388 2052-02-10 1363.0688 Lag = 12 mj.
## 1389 2052-03-10 1363.0688 Lag = 12 mj.
## 1390 2052-04-10 1363.0688 Lag = 12 mj.
## 1391 2052-05-10 1363.0688 Lag = 12 mj.
## 1392 2052-06-10 1363.0688 Lag = 12 mj.
## 1393 2052-07-10 1363.0688 Lag = 12 mj.
## 1394 2052-08-10 1360.8353 Lag = 12 mj.
## 1395 2052-09-10 1360.8353 Lag = 12 mj.
## 1396 2052-10-10 1360.8353 Lag = 12 mj.
## 1397 2052-11-10 1360.8353 Lag = 12 mj.
## 1398 2052-12-10 1360.8353 Lag = 12 mj.
## 1399 2053-01-10 1360.8353 Lag = 12 mj.
## 1400 2053-02-10 1360.8353 Lag = 12 mj.
## 1401 2053-03-10 1360.8353 Lag = 12 mj.
## 1402 2053-04-10 1360.8353 Lag = 12 mj.
## 1403 2053-05-10 1360.8353 Lag = 12 mj.
## 1404 2053-06-10 1360.8353 Lag = 12 mj.
## 1405 2053-07-10 1360.8353 Lag = 12 mj.
## 1406 2053-08-10 1362.5104 Lag = 12 mj.
## 1407 2053-09-10 1362.5104 Lag = 12 mj.
## 1408 2053-10-10 1362.5104 Lag = 12 mj.
## 1409 2053-11-10 1362.5104 Lag = 12 mj.
## 1410 2053-12-10 1362.5104 Lag = 12 mj.
## 1411 2054-01-10 1362.5104 Lag = 12 mj.
## 1412 2054-02-10 1362.5104 Lag = 12 mj.
## 1413 2054-03-10 1362.5104 Lag = 12 mj.
## 1414 2054-04-10 1362.5104 Lag = 12 mj.
## 1415 2054-05-10 1362.5104 Lag = 12 mj.
## 1416 2054-06-10 1362.5104 Lag = 12 mj.
## 1417 2054-07-10 1362.5104 Lag = 12 mj.
## 1418 2054-08-10 1361.2541 Lag = 12 mj.
## 1419 2054-09-10 1361.2541 Lag = 12 mj.
## 1420 2054-10-10 1361.2541 Lag = 12 mj.
## 1421 2054-11-10 1361.2541 Lag = 12 mj.
## 1422 2054-12-10 1361.2541 Lag = 12 mj.
## 1423 2055-01-10 1361.2541 Lag = 12 mj.
## 1424 2055-02-10 1361.2541 Lag = 12 mj.
## 1425 2055-03-10 1361.2541 Lag = 12 mj.
## 1426 2055-04-10 1361.2541 Lag = 12 mj.
## 1427 2055-05-10 1361.2541 Lag = 12 mj.
## 1428 2055-06-10 1361.2541 Lag = 12 mj.
## 1429 2055-07-10 1361.2541 Lag = 12 mj.
## 1430 2055-08-10 1362.1963 Lag = 12 mj.
## 1431 2055-09-10 1362.1963 Lag = 12 mj.
## 1432 2055-10-10 1362.1963 Lag = 12 mj.
## 1433 2055-11-10 1362.1963 Lag = 12 mj.
## 1434 2055-12-10 1362.1963 Lag = 12 mj.
## 1435 2056-01-10 1362.1963 Lag = 12 mj.
## 1436 2056-02-10 1362.1963 Lag = 12 mj.
## 1437 2056-03-10 1362.1963 Lag = 12 mj.
## 1438 2056-04-10 1362.1963 Lag = 12 mj.
## 1439 2056-05-10 1362.1963 Lag = 12 mj.
## 1440 2056-06-10 1362.1963 Lag = 12 mj.
## 1441 2026-07-10 3623.1400 Lag = 24 mj.
## 1442 2026-08-10 -334.2181 Lag = 24 mj.
## 1443 2026-09-10 -334.2181 Lag = 24 mj.
## 1444 2026-10-10 -334.2181 Lag = 24 mj.
## 1445 2026-11-10 -334.2181 Lag = 24 mj.
## 1446 2026-12-10 -334.2181 Lag = 24 mj.
## 1447 2027-01-10 -334.2181 Lag = 24 mj.
## 1448 2027-02-10 -334.2181 Lag = 24 mj.
## 1449 2027-03-10 -334.2181 Lag = 24 mj.
## 1450 2027-04-10 -334.2181 Lag = 24 mj.
## 1451 2027-05-10 -334.2181 Lag = 24 mj.
## 1452 2027-06-10 -334.2181 Lag = 24 mj.
## 1453 2027-07-10 -334.2181 Lag = 24 mj.
## 1454 2027-08-10 -334.2181 Lag = 24 mj.
## 1455 2027-09-10 -334.2181 Lag = 24 mj.
## 1456 2027-10-10 -334.2181 Lag = 24 mj.
## 1457 2027-11-10 -334.2181 Lag = 24 mj.
## 1458 2027-12-10 -334.2181 Lag = 24 mj.
## 1459 2028-01-10 -334.2181 Lag = 24 mj.
## 1460 2028-02-10 -334.2181 Lag = 24 mj.
## 1461 2028-03-10 -334.2181 Lag = 24 mj.
## 1462 2028-04-10 -334.2181 Lag = 24 mj.
## 1463 2028-05-10 -334.2181 Lag = 24 mj.
## 1464 2028-06-10 -334.2181 Lag = 24 mj.
## 1465 2028-07-10 -334.2181 Lag = 24 mj.
## 1466 2028-08-10 2633.8005 Lag = 24 mj.
## 1467 2028-09-10 2633.8005 Lag = 24 mj.
## 1468 2028-10-10 2633.8005 Lag = 24 mj.
## 1469 2028-11-10 2633.8005 Lag = 24 mj.
## 1470 2028-12-10 2633.8005 Lag = 24 mj.
## 1471 2029-01-10 2633.8005 Lag = 24 mj.
## 1472 2029-02-10 2633.8005 Lag = 24 mj.
## 1473 2029-03-10 2633.8005 Lag = 24 mj.
## 1474 2029-04-10 2633.8005 Lag = 24 mj.
## 1475 2029-05-10 2633.8005 Lag = 24 mj.
## 1476 2029-06-10 2633.8005 Lag = 24 mj.
## 1477 2029-07-10 2633.8005 Lag = 24 mj.
## 1478 2029-08-10 2633.8005 Lag = 24 mj.
## 1479 2029-09-10 2633.8005 Lag = 24 mj.
## 1480 2029-10-10 2633.8005 Lag = 24 mj.
## 1481 2029-11-10 2633.8005 Lag = 24 mj.
## 1482 2029-12-10 2633.8005 Lag = 24 mj.
## 1483 2030-01-10 2633.8005 Lag = 24 mj.
## 1484 2030-02-10 2633.8005 Lag = 24 mj.
## 1485 2030-03-10 2633.8005 Lag = 24 mj.
## 1486 2030-04-10 2633.8005 Lag = 24 mj.
## 1487 2030-05-10 2633.8005 Lag = 24 mj.
## 1488 2030-06-10 2633.8005 Lag = 24 mj.
## 1489 2030-07-10 2633.8005 Lag = 24 mj.
## 1490 2030-08-10 407.7865 Lag = 24 mj.
## 1491 2030-09-10 407.7865 Lag = 24 mj.
## 1492 2030-10-10 407.7865 Lag = 24 mj.
## 1493 2030-11-10 407.7865 Lag = 24 mj.
## 1494 2030-12-10 407.7865 Lag = 24 mj.
## 1495 2031-01-10 407.7865 Lag = 24 mj.
## 1496 2031-02-10 407.7865 Lag = 24 mj.
## 1497 2031-03-10 407.7865 Lag = 24 mj.
## 1498 2031-04-10 407.7865 Lag = 24 mj.
## 1499 2031-05-10 407.7865 Lag = 24 mj.
## 1500 2031-06-10 407.7865 Lag = 24 mj.
## 1501 2031-07-10 407.7865 Lag = 24 mj.
## 1502 2031-08-10 407.7865 Lag = 24 mj.
## 1503 2031-09-10 407.7865 Lag = 24 mj.
## 1504 2031-10-10 407.7865 Lag = 24 mj.
## 1505 2031-11-10 407.7865 Lag = 24 mj.
## 1506 2031-12-10 407.7865 Lag = 24 mj.
## 1507 2032-01-10 407.7865 Lag = 24 mj.
## 1508 2032-02-10 407.7865 Lag = 24 mj.
## 1509 2032-03-10 407.7865 Lag = 24 mj.
## 1510 2032-04-10 407.7865 Lag = 24 mj.
## 1511 2032-05-10 407.7865 Lag = 24 mj.
## 1512 2032-06-10 407.7865 Lag = 24 mj.
## 1513 2032-07-10 407.7865 Lag = 24 mj.
## 1514 2032-08-10 2077.2970 Lag = 24 mj.
## 1515 2032-09-10 2077.2970 Lag = 24 mj.
## 1516 2032-10-10 2077.2970 Lag = 24 mj.
## 1517 2032-11-10 2077.2970 Lag = 24 mj.
## 1518 2032-12-10 2077.2970 Lag = 24 mj.
## 1519 2033-01-10 2077.2970 Lag = 24 mj.
## 1520 2033-02-10 2077.2970 Lag = 24 mj.
## 1521 2033-03-10 2077.2970 Lag = 24 mj.
## 1522 2033-04-10 2077.2970 Lag = 24 mj.
## 1523 2033-05-10 2077.2970 Lag = 24 mj.
## 1524 2033-06-10 2077.2970 Lag = 24 mj.
## 1525 2033-07-10 2077.2970 Lag = 24 mj.
## 1526 2033-08-10 2077.2970 Lag = 24 mj.
## 1527 2033-09-10 2077.2970 Lag = 24 mj.
## 1528 2033-10-10 2077.2970 Lag = 24 mj.
## 1529 2033-11-10 2077.2970 Lag = 24 mj.
## 1530 2033-12-10 2077.2970 Lag = 24 mj.
## 1531 2034-01-10 2077.2970 Lag = 24 mj.
## 1532 2034-02-10 2077.2970 Lag = 24 mj.
## 1533 2034-03-10 2077.2970 Lag = 24 mj.
## 1534 2034-04-10 2077.2970 Lag = 24 mj.
## 1535 2034-05-10 2077.2970 Lag = 24 mj.
## 1536 2034-06-10 2077.2970 Lag = 24 mj.
## 1537 2034-07-10 2077.2970 Lag = 24 mj.
## 1538 2034-08-10 825.1641 Lag = 24 mj.
## 1539 2034-09-10 825.1641 Lag = 24 mj.
## 1540 2034-10-10 825.1641 Lag = 24 mj.
## 1541 2034-11-10 825.1641 Lag = 24 mj.
## 1542 2034-12-10 825.1641 Lag = 24 mj.
## 1543 2035-01-10 825.1641 Lag = 24 mj.
## 1544 2035-02-10 825.1641 Lag = 24 mj.
## 1545 2035-03-10 825.1641 Lag = 24 mj.
## 1546 2035-04-10 825.1641 Lag = 24 mj.
## 1547 2035-05-10 825.1641 Lag = 24 mj.
## 1548 2035-06-10 825.1641 Lag = 24 mj.
## 1549 2035-07-10 825.1641 Lag = 24 mj.
## 1550 2035-08-10 825.1641 Lag = 24 mj.
## 1551 2035-09-10 825.1641 Lag = 24 mj.
## 1552 2035-10-10 825.1641 Lag = 24 mj.
## 1553 2035-11-10 825.1641 Lag = 24 mj.
## 1554 2035-12-10 825.1641 Lag = 24 mj.
## 1555 2036-01-10 825.1641 Lag = 24 mj.
## 1556 2036-02-10 825.1641 Lag = 24 mj.
## 1557 2036-03-10 825.1641 Lag = 24 mj.
## 1558 2036-04-10 825.1641 Lag = 24 mj.
## 1559 2036-05-10 825.1641 Lag = 24 mj.
## 1560 2036-06-10 825.1641 Lag = 24 mj.
## 1561 2036-07-10 825.1641 Lag = 24 mj.
## 1562 2036-08-10 1764.2638 Lag = 24 mj.
## 1563 2036-09-10 1764.2638 Lag = 24 mj.
## 1564 2036-10-10 1764.2638 Lag = 24 mj.
## 1565 2036-11-10 1764.2638 Lag = 24 mj.
## 1566 2036-12-10 1764.2638 Lag = 24 mj.
## 1567 2037-01-10 1764.2638 Lag = 24 mj.
## 1568 2037-02-10 1764.2638 Lag = 24 mj.
## 1569 2037-03-10 1764.2638 Lag = 24 mj.
## 1570 2037-04-10 1764.2638 Lag = 24 mj.
## 1571 2037-05-10 1764.2638 Lag = 24 mj.
## 1572 2037-06-10 1764.2638 Lag = 24 mj.
## 1573 2037-07-10 1764.2638 Lag = 24 mj.
## 1574 2037-08-10 1764.2638 Lag = 24 mj.
## 1575 2037-09-10 1764.2638 Lag = 24 mj.
## 1576 2037-10-10 1764.2638 Lag = 24 mj.
## 1577 2037-11-10 1764.2638 Lag = 24 mj.
## 1578 2037-12-10 1764.2638 Lag = 24 mj.
## 1579 2038-01-10 1764.2638 Lag = 24 mj.
## 1580 2038-02-10 1764.2638 Lag = 24 mj.
## 1581 2038-03-10 1764.2638 Lag = 24 mj.
## 1582 2038-04-10 1764.2638 Lag = 24 mj.
## 1583 2038-05-10 1764.2638 Lag = 24 mj.
## 1584 2038-06-10 1764.2638 Lag = 24 mj.
## 1585 2038-07-10 1764.2638 Lag = 24 mj.
## 1586 2038-08-10 1059.9390 Lag = 24 mj.
## 1587 2038-09-10 1059.9390 Lag = 24 mj.
## 1588 2038-10-10 1059.9390 Lag = 24 mj.
## 1589 2038-11-10 1059.9390 Lag = 24 mj.
## 1590 2038-12-10 1059.9390 Lag = 24 mj.
## 1591 2039-01-10 1059.9390 Lag = 24 mj.
## 1592 2039-02-10 1059.9390 Lag = 24 mj.
## 1593 2039-03-10 1059.9390 Lag = 24 mj.
## 1594 2039-04-10 1059.9390 Lag = 24 mj.
## 1595 2039-05-10 1059.9390 Lag = 24 mj.
## 1596 2039-06-10 1059.9390 Lag = 24 mj.
## 1597 2039-07-10 1059.9390 Lag = 24 mj.
## 1598 2039-08-10 1059.9390 Lag = 24 mj.
## 1599 2039-09-10 1059.9390 Lag = 24 mj.
## 1600 2039-10-10 1059.9390 Lag = 24 mj.
## 1601 2039-11-10 1059.9390 Lag = 24 mj.
## 1602 2039-12-10 1059.9390 Lag = 24 mj.
## 1603 2040-01-10 1059.9390 Lag = 24 mj.
## 1604 2040-02-10 1059.9390 Lag = 24 mj.
## 1605 2040-03-10 1059.9390 Lag = 24 mj.
## 1606 2040-04-10 1059.9390 Lag = 24 mj.
## 1607 2040-05-10 1059.9390 Lag = 24 mj.
## 1608 2040-06-10 1059.9390 Lag = 24 mj.
## 1609 2040-07-10 1059.9390 Lag = 24 mj.
## 1610 2040-08-10 1588.1826 Lag = 24 mj.
## 1611 2040-09-10 1588.1826 Lag = 24 mj.
## 1612 2040-10-10 1588.1826 Lag = 24 mj.
## 1613 2040-11-10 1588.1826 Lag = 24 mj.
## 1614 2040-12-10 1588.1826 Lag = 24 mj.
## 1615 2041-01-10 1588.1826 Lag = 24 mj.
## 1616 2041-02-10 1588.1826 Lag = 24 mj.
## 1617 2041-03-10 1588.1826 Lag = 24 mj.
## 1618 2041-04-10 1588.1826 Lag = 24 mj.
## 1619 2041-05-10 1588.1826 Lag = 24 mj.
## 1620 2041-06-10 1588.1826 Lag = 24 mj.
## 1621 2041-07-10 1588.1826 Lag = 24 mj.
## 1622 2041-08-10 1588.1826 Lag = 24 mj.
## 1623 2041-09-10 1588.1826 Lag = 24 mj.
## 1624 2041-10-10 1588.1826 Lag = 24 mj.
## 1625 2041-11-10 1588.1826 Lag = 24 mj.
## 1626 2041-12-10 1588.1826 Lag = 24 mj.
## 1627 2042-01-10 1588.1826 Lag = 24 mj.
## 1628 2042-02-10 1588.1826 Lag = 24 mj.
## 1629 2042-03-10 1588.1826 Lag = 24 mj.
## 1630 2042-04-10 1588.1826 Lag = 24 mj.
## 1631 2042-05-10 1588.1826 Lag = 24 mj.
## 1632 2042-06-10 1588.1826 Lag = 24 mj.
## 1633 2042-07-10 1588.1826 Lag = 24 mj.
## 1634 2042-08-10 1191.9999 Lag = 24 mj.
## 1635 2042-09-10 1191.9999 Lag = 24 mj.
## 1636 2042-10-10 1191.9999 Lag = 24 mj.
## 1637 2042-11-10 1191.9999 Lag = 24 mj.
## 1638 2042-12-10 1191.9999 Lag = 24 mj.
## 1639 2043-01-10 1191.9999 Lag = 24 mj.
## 1640 2043-02-10 1191.9999 Lag = 24 mj.
## 1641 2043-03-10 1191.9999 Lag = 24 mj.
## 1642 2043-04-10 1191.9999 Lag = 24 mj.
## 1643 2043-05-10 1191.9999 Lag = 24 mj.
## 1644 2043-06-10 1191.9999 Lag = 24 mj.
## 1645 2043-07-10 1191.9999 Lag = 24 mj.
## 1646 2043-08-10 1191.9999 Lag = 24 mj.
## 1647 2043-09-10 1191.9999 Lag = 24 mj.
## 1648 2043-10-10 1191.9999 Lag = 24 mj.
## 1649 2043-11-10 1191.9999 Lag = 24 mj.
## 1650 2043-12-10 1191.9999 Lag = 24 mj.
## 1651 2044-01-10 1191.9999 Lag = 24 mj.
## 1652 2044-02-10 1191.9999 Lag = 24 mj.
## 1653 2044-03-10 1191.9999 Lag = 24 mj.
## 1654 2044-04-10 1191.9999 Lag = 24 mj.
## 1655 2044-05-10 1191.9999 Lag = 24 mj.
## 1656 2044-06-10 1191.9999 Lag = 24 mj.
## 1657 2044-07-10 1191.9999 Lag = 24 mj.
## 1658 2044-08-10 1489.1369 Lag = 24 mj.
## 1659 2044-09-10 1489.1369 Lag = 24 mj.
## 1660 2044-10-10 1489.1369 Lag = 24 mj.
## 1661 2044-11-10 1489.1369 Lag = 24 mj.
## 1662 2044-12-10 1489.1369 Lag = 24 mj.
## 1663 2045-01-10 1489.1369 Lag = 24 mj.
## 1664 2045-02-10 1489.1369 Lag = 24 mj.
## 1665 2045-03-10 1489.1369 Lag = 24 mj.
## 1666 2045-04-10 1489.1369 Lag = 24 mj.
## 1667 2045-05-10 1489.1369 Lag = 24 mj.
## 1668 2045-06-10 1489.1369 Lag = 24 mj.
## 1669 2045-07-10 1489.1369 Lag = 24 mj.
## 1670 2045-08-10 1489.1369 Lag = 24 mj.
## 1671 2045-09-10 1489.1369 Lag = 24 mj.
## 1672 2045-10-10 1489.1369 Lag = 24 mj.
## 1673 2045-11-10 1489.1369 Lag = 24 mj.
## 1674 2045-12-10 1489.1369 Lag = 24 mj.
## 1675 2046-01-10 1489.1369 Lag = 24 mj.
## 1676 2046-02-10 1489.1369 Lag = 24 mj.
## 1677 2046-03-10 1489.1369 Lag = 24 mj.
## 1678 2046-04-10 1489.1369 Lag = 24 mj.
## 1679 2046-05-10 1489.1369 Lag = 24 mj.
## 1680 2046-06-10 1489.1369 Lag = 24 mj.
## 1681 2046-07-10 1489.1369 Lag = 24 mj.
## 1682 2046-08-10 1266.2842 Lag = 24 mj.
## 1683 2046-09-10 1266.2842 Lag = 24 mj.
## 1684 2046-10-10 1266.2842 Lag = 24 mj.
## 1685 2046-11-10 1266.2842 Lag = 24 mj.
## 1686 2046-12-10 1266.2842 Lag = 24 mj.
## 1687 2047-01-10 1266.2842 Lag = 24 mj.
## 1688 2047-02-10 1266.2842 Lag = 24 mj.
## 1689 2047-03-10 1266.2842 Lag = 24 mj.
## 1690 2047-04-10 1266.2842 Lag = 24 mj.
## 1691 2047-05-10 1266.2842 Lag = 24 mj.
## 1692 2047-06-10 1266.2842 Lag = 24 mj.
## 1693 2047-07-10 1266.2842 Lag = 24 mj.
## 1694 2047-08-10 1266.2842 Lag = 24 mj.
## 1695 2047-09-10 1266.2842 Lag = 24 mj.
## 1696 2047-10-10 1266.2842 Lag = 24 mj.
## 1697 2047-11-10 1266.2842 Lag = 24 mj.
## 1698 2047-12-10 1266.2842 Lag = 24 mj.
## 1699 2048-01-10 1266.2842 Lag = 24 mj.
## 1700 2048-02-10 1266.2842 Lag = 24 mj.
## 1701 2048-03-10 1266.2842 Lag = 24 mj.
## 1702 2048-04-10 1266.2842 Lag = 24 mj.
## 1703 2048-05-10 1266.2842 Lag = 24 mj.
## 1704 2048-06-10 1266.2842 Lag = 24 mj.
## 1705 2048-07-10 1266.2842 Lag = 24 mj.
## 1706 2048-08-10 1433.4237 Lag = 24 mj.
## 1707 2048-09-10 1433.4237 Lag = 24 mj.
## 1708 2048-10-10 1433.4237 Lag = 24 mj.
## 1709 2048-11-10 1433.4237 Lag = 24 mj.
## 1710 2048-12-10 1433.4237 Lag = 24 mj.
## 1711 2049-01-10 1433.4237 Lag = 24 mj.
## 1712 2049-02-10 1433.4237 Lag = 24 mj.
## 1713 2049-03-10 1433.4237 Lag = 24 mj.
## 1714 2049-04-10 1433.4237 Lag = 24 mj.
## 1715 2049-05-10 1433.4237 Lag = 24 mj.
## 1716 2049-06-10 1433.4237 Lag = 24 mj.
## 1717 2049-07-10 1433.4237 Lag = 24 mj.
## 1718 2049-08-10 1433.4237 Lag = 24 mj.
## 1719 2049-09-10 1433.4237 Lag = 24 mj.
## 1720 2049-10-10 1433.4237 Lag = 24 mj.
## 1721 2049-11-10 1433.4237 Lag = 24 mj.
## 1722 2049-12-10 1433.4237 Lag = 24 mj.
## 1723 2050-01-10 1433.4237 Lag = 24 mj.
## 1724 2050-02-10 1433.4237 Lag = 24 mj.
## 1725 2050-03-10 1433.4237 Lag = 24 mj.
## 1726 2050-04-10 1433.4237 Lag = 24 mj.
## 1727 2050-05-10 1433.4237 Lag = 24 mj.
## 1728 2050-06-10 1433.4237 Lag = 24 mj.
## 1729 2050-07-10 1433.4237 Lag = 24 mj.
## 1730 2050-08-10 1308.0691 Lag = 24 mj.
## 1731 2050-09-10 1308.0691 Lag = 24 mj.
## 1732 2050-10-10 1308.0691 Lag = 24 mj.
## 1733 2050-11-10 1308.0691 Lag = 24 mj.
## 1734 2050-12-10 1308.0691 Lag = 24 mj.
## 1735 2051-01-10 1308.0691 Lag = 24 mj.
## 1736 2051-02-10 1308.0691 Lag = 24 mj.
## 1737 2051-03-10 1308.0691 Lag = 24 mj.
## 1738 2051-04-10 1308.0691 Lag = 24 mj.
## 1739 2051-05-10 1308.0691 Lag = 24 mj.
## 1740 2051-06-10 1308.0691 Lag = 24 mj.
## 1741 2051-07-10 1308.0691 Lag = 24 mj.
## 1742 2051-08-10 1308.0691 Lag = 24 mj.
## 1743 2051-09-10 1308.0691 Lag = 24 mj.
## 1744 2051-10-10 1308.0691 Lag = 24 mj.
## 1745 2051-11-10 1308.0691 Lag = 24 mj.
## 1746 2051-12-10 1308.0691 Lag = 24 mj.
## 1747 2052-01-10 1308.0691 Lag = 24 mj.
## 1748 2052-02-10 1308.0691 Lag = 24 mj.
## 1749 2052-03-10 1308.0691 Lag = 24 mj.
## 1750 2052-04-10 1308.0691 Lag = 24 mj.
## 1751 2052-05-10 1308.0691 Lag = 24 mj.
## 1752 2052-06-10 1308.0691 Lag = 24 mj.
## 1753 2052-07-10 1308.0691 Lag = 24 mj.
## 1754 2052-08-10 1402.0851 Lag = 24 mj.
## 1755 2052-09-10 1402.0851 Lag = 24 mj.
## 1756 2052-10-10 1402.0851 Lag = 24 mj.
## 1757 2052-11-10 1402.0851 Lag = 24 mj.
## 1758 2052-12-10 1402.0851 Lag = 24 mj.
## 1759 2053-01-10 1402.0851 Lag = 24 mj.
## 1760 2053-02-10 1402.0851 Lag = 24 mj.
## 1761 2053-03-10 1402.0851 Lag = 24 mj.
## 1762 2053-04-10 1402.0851 Lag = 24 mj.
## 1763 2053-05-10 1402.0851 Lag = 24 mj.
## 1764 2053-06-10 1402.0851 Lag = 24 mj.
## 1765 2053-07-10 1402.0851 Lag = 24 mj.
## 1766 2053-08-10 1402.0851 Lag = 24 mj.
## 1767 2053-09-10 1402.0851 Lag = 24 mj.
## 1768 2053-10-10 1402.0851 Lag = 24 mj.
## 1769 2053-11-10 1402.0851 Lag = 24 mj.
## 1770 2053-12-10 1402.0851 Lag = 24 mj.
## 1771 2054-01-10 1402.0851 Lag = 24 mj.
## 1772 2054-02-10 1402.0851 Lag = 24 mj.
## 1773 2054-03-10 1402.0851 Lag = 24 mj.
## 1774 2054-04-10 1402.0851 Lag = 24 mj.
## 1775 2054-05-10 1402.0851 Lag = 24 mj.
## 1776 2054-06-10 1402.0851 Lag = 24 mj.
## 1777 2054-07-10 1402.0851 Lag = 24 mj.
## 1778 2054-08-10 1331.5731 Lag = 24 mj.
## 1779 2054-09-10 1331.5731 Lag = 24 mj.
## 1780 2054-10-10 1331.5731 Lag = 24 mj.
## 1781 2054-11-10 1331.5731 Lag = 24 mj.
## 1782 2054-12-10 1331.5731 Lag = 24 mj.
## 1783 2055-01-10 1331.5731 Lag = 24 mj.
## 1784 2055-02-10 1331.5731 Lag = 24 mj.
## 1785 2055-03-10 1331.5731 Lag = 24 mj.
## 1786 2055-04-10 1331.5731 Lag = 24 mj.
## 1787 2055-05-10 1331.5731 Lag = 24 mj.
## 1788 2055-06-10 1331.5731 Lag = 24 mj.
## 1789 2055-07-10 1331.5731 Lag = 24 mj.
## 1790 2055-08-10 1331.5731 Lag = 24 mj.
## 1791 2055-09-10 1331.5731 Lag = 24 mj.
## 1792 2055-10-10 1331.5731 Lag = 24 mj.
## 1793 2055-11-10 1331.5731 Lag = 24 mj.
## 1794 2055-12-10 1331.5731 Lag = 24 mj.
## 1795 2056-01-10 1331.5731 Lag = 24 mj.
## 1796 2056-02-10 1331.5731 Lag = 24 mj.
## 1797 2056-03-10 1331.5731 Lag = 24 mj.
## 1798 2056-04-10 1331.5731 Lag = 24 mj.
## 1799 2056-05-10 1331.5731 Lag = 24 mj.
## 1800 2056-06-10 1331.5731 Lag = 24 mj.8 Cobweb dijagram (P-Q prostor)
raspon_cijena <- seq(0.5, 5, by = 0.05)
Qd_curve <- slobodni_koef_potraznje - nagib_potraznje * raspon_cijena
Qs_curve <- slobodni_koef_ponude + nagib_ponude * raspon_cijena
df_cob_lines <- data.frame(
P = raspon_cijena * skaliranje_cijene,
Qd = Qd_curve,
Qs = Qs_curve
)
df_cob_lines## P Qd Qs
## 1 500 2.3959435 0.5861793
## 2 550 2.3359435 0.6311792
## 3 600 2.2759435 0.6761793
## 4 650 2.2159435 0.7211793
## 5 700 2.1559435 0.7661792
## 6 750 2.0959435 0.8111793
## 7 800 2.0359435 0.8561793
## 8 850 1.9759435 0.9011793
## 9 900 1.9159435 0.9461793
## 10 950 1.8559435 0.9911792
## 11 1000 1.7959435 1.0361792
## 12 1050 1.7359435 1.0811792
## 13 1100 1.6759435 1.1261793
## 14 1150 1.6159435 1.1711792
## 15 1200 1.5559435 1.2161793
## 16 1250 1.4959435 1.2611793
## 17 1300 1.4359435 1.3061793
## 18 1350 1.3759435 1.3511792
## 19 1400 1.3159435 1.3961792
## 20 1450 1.2559435 1.4411793
## 21 1500 1.1959435 1.4861793
## 22 1550 1.1359435 1.5311793
## 23 1600 1.0759435 1.5761793
## 24 1650 1.0159435 1.6211792
## 25 1700 0.9559435 1.6661793
## 26 1750 0.8959435 1.7111792
## 27 1800 0.8359435 1.7561793
## 28 1850 0.7759435 1.8011793
## 29 1900 0.7159435 1.8461793
## 30 1950 0.6559435 1.8911792
## 31 2000 0.5959435 1.9361792
## 32 2050 0.5359435 1.9811792
## 33 2100 0.4759435 2.0261793
## 34 2150 0.4159435 2.0711793
## 35 2200 0.3559435 2.1161793
## 36 2250 0.2959435 2.1611792
## 37 2300 0.2359435 2.2061792
## 38 2350 0.1759435 2.2511793
## 39 2400 0.1159435 2.2961793
## 40 2450 0.0559435 2.3411793
## 41 2500 -0.0040565 2.3861793
## 42 2550 -0.0640565 2.4311793
## 43 2600 -0.1240565 2.4761793
## 44 2650 -0.1840565 2.5211792
## 45 2700 -0.2440565 2.5661793
## 46 2750 -0.3040565 2.6111793
## 47 2800 -0.3640565 2.6561793
## 48 2850 -0.4240565 2.7011793
## 49 2900 -0.4840565 2.7461793
## 50 2950 -0.5440565 2.7911793
## 51 3000 -0.6040565 2.8361793
## 52 3050 -0.6640565 2.8811793
## 53 3100 -0.7240565 2.9261793
## 54 3150 -0.7840565 2.9711793
## 55 3200 -0.8440565 3.0161793
## 56 3250 -0.9040565 3.0611793
## 57 3300 -0.9640565 3.1061793
## 58 3350 -1.0240565 3.1511793
## 59 3400 -1.0840565 3.1961793
## 60 3450 -1.1440565 3.2411793
## 61 3500 -1.2040565 3.2861792
## 62 3550 -1.2640565 3.3311793
## 63 3600 -1.3240565 3.3761793
## 64 3650 -1.3840565 3.4211793
## 65 3700 -1.4440565 3.4661793
## 66 3750 -1.5040565 3.5111793
## 67 3800 -1.5640565 3.5561793
## 68 3850 -1.6240565 3.6011793
## 69 3900 -1.6840565 3.6461793
## 70 3950 -1.7440565 3.6911793
## 71 4000 -1.8040565 3.7361793
## 72 4050 -1.8640565 3.7811793
## 73 4100 -1.9240565 3.8261793
## 74 4150 -1.9840565 3.8711793
## 75 4200 -2.0440565 3.9161793
## 76 4250 -2.1040565 3.9611793
## 77 4300 -2.1640565 4.0061793
## 78 4350 -2.2240565 4.0511792
## 79 4400 -2.2840565 4.0961793
## 80 4450 -2.3440565 4.1411792
## 81 4500 -2.4040565 4.1861792
## 82 4550 -2.4640565 4.2311792
## 83 4600 -2.5240565 4.2761793
## 84 4650 -2.5840565 4.3211793
## 85 4700 -2.6440565 4.3661793
## 86 4750 -2.7040565 4.4111792
## 87 4800 -2.7640565 4.4561792
## 88 4850 -2.8240565 4.5011792
## 89 4900 -2.8840565 4.5461792
## 90 4950 -2.9440565 4.5911792
## 91 5000 -3.0040565 4.6361792cijena_cobweb <- numeric(40)
Q_cobweb <- numeric(40)
cijena_cobweb[1] <- startna_cijena / skaliranje_cijene * 1.2
for (t in seq(2, 40, by = 2)) {
Q_cobweb[t-1] <- slobodni_koef_potraznje - nagib_potraznje * cijena_cobweb[t-1]
Q_cobweb[t] <- Q_cobweb[t-1]
cijena_cobweb[t] <- (Q_cobweb[t] - slobodni_koef_ponude) / nagib_ponude
if (t + 1 <= 40) cijena_cobweb[t+1] <- cijena_cobweb[t]
}
df_cob_tocke <- data.frame(P = cijena_cobweb * skaliranje_cijene, Q = Q_cobweb)
df_cob_tocke## P Q
## 1 4347.768 -2.221378
## 2 -2619.508 -2.221378
## 3 -2619.508 6.139353
## 4 6670.193 6.139353
## 5 6670.193 -5.008289
## 6 -5716.075 -5.008289
## 7 -5716.075 9.855234
## 8 10798.950 9.855234
## 9 10798.950 -9.962796
## 10 -11221.084 -9.962796
## 11 -11221.084 16.461244
## 12 18138.961 16.461244
## 13 18138.961 -18.770809
## 14 -21007.765 -18.770809
## 15 -21007.765 28.205262
## 16 31187.869 28.205262
## 17 31187.869 -34.429500
## 18 -38406.310 -34.429500
## 19 -38406.310 49.083515
## 20 54385.929 49.083515
## 21 54385.929 -62.267171
## 22 -69337.056 -62.267171
## 23 -69337.056 86.200411
## 24 95626.924 86.200411
## 25 95626.924 -111.756366
## 26 -124325.050 -111.756366
## 27 -124325.050 152.186003
## 28 168944.249 152.186003
## 29 168944.249 -199.737155
## 30 -222081.483 -199.737155
## 31 -222081.483 269.493723
## 32 299286.160 269.493723
## 33 299286.160 -356.147448
## 34 -395870.697 -356.147448
## 35 -395870.697 478.040780
## 36 531005.112 478.040780
## 37 531005.112 -634.210191
## 38 -704829.300 -634.210191
## 39 -704829.300 848.791104
## 40 942949.916 848.7911049 Vizualizacije
9.1 Povijesna cijena zlata
g1 <- ggplot(mjesecni, aes(x = Datum, y = Cijena)) +
geom_line(colour = "#C8A951", linewidth = 0.8) +
geom_hline(yintercept = ravnotezna_cijena, linetype = "dashed",
colour = "steelblue", linewidth = 0.7) +
annotate("text", x = min(mjesecni$Datum) + years(1),
y = ravnotezna_cijena + 60,
label = paste0("Cobweb P* = $", round(ravnotezna_cijena, 0)),
colour = "steelblue", size = 3.5) +
scale_y_continuous(labels = dollar_format(prefix = "$")) +
scale_x_date(date_breaks = "2 years", date_labels = "%Y") +
labs(title = "Povijesna cijena zlata (2006–2026)",
subtitle = "Mjesečni tečaj (USD/troy oz)",
x = "Godina", y = "Cijena (USD/troy oz)") +
theme_minimal(base_size = 11) +
theme(plot.title = element_text(face = "bold", size = 13),
axis.text.x = element_text(angle = 45, hjust = 1))
g1
Graf prikazuje kretanje mjesečne zatvorene cijene zlata u USD po troy unci od listopada 2006. do lipnja 2026. Kroz promatrano razdoblje cijena bilježi generalni uzlazni trend uz povremene oscilacije. Najznačajniji pad vidljiv je između 2011. i 2015. godine, kada cijena pada s vrhunca od oko $1.900 na ispod $1.100. Nakon 2020. godine cijena ubrzano raste i dostiže maksimum od $4.452 u veljači 2026. Isprekidana plava linija označava Cobweb ravnotežnu cijenu od $1.362/oz - trenutna tržišna cijena je značajno iznad te razine, što prema modelu sugerira mogućnost dugoročne korekcije prema fundamentalnoj vrijednosti.
9.2 Usporedba determinističkih simulacija
## t Datum Cijena Model
## 1 1 2026-07-10 3623.1400 Cobweb
## 2 2 2026-08-10 -334.2181 Cobweb
## 3 3 2026-09-10 2633.8005 Cobweb
## 4 4 2026-10-10 407.7865 Cobweb
## 5 5 2026-11-10 2077.2970 Cobweb
## 6 6 2026-12-10 825.1641 Cobweb
## 7 7 2027-01-10 1764.2638 Cobweb
## 8 8 2027-02-10 1059.9390 Cobweb
## 9 9 2027-03-10 1588.1826 Cobweb
## 10 10 2027-04-10 1191.9999 Cobweb
## 11 11 2027-05-10 1489.1369 Cobweb
## 12 12 2027-06-10 1266.2842 Cobweb
## 13 13 2027-07-10 1433.4237 Cobweb
## 14 14 2027-08-10 1308.0691 Cobweb
## 15 15 2027-09-10 1402.0851 Cobweb
## 16 16 2027-10-10 1331.5731 Cobweb
## 17 17 2027-11-10 1384.4571 Cobweb
## 18 18 2027-12-10 1344.7941 Cobweb
## 19 19 2028-01-10 1374.5413 Cobweb
## 20 20 2028-02-10 1352.2309 Cobweb
## 21 21 2028-03-10 1368.9637 Cobweb
## 22 22 2028-04-10 1356.4141 Cobweb
## 23 23 2028-05-10 1365.8263 Cobweb
## 24 24 2028-06-10 1358.7671 Cobweb
## 25 25 2028-07-10 1364.0615 Cobweb
## 26 26 2028-08-10 1360.0907 Cobweb
## 27 27 2028-09-10 1363.0688 Cobweb
## 28 28 2028-10-10 1360.8353 Cobweb
## 29 29 2028-11-10 1362.5104 Cobweb
## 30 30 2028-12-10 1361.2541 Cobweb
## 31 31 2029-01-10 1362.1963 Cobweb
## 32 32 2029-02-10 1361.4896 Cobweb
## 33 33 2029-03-10 1362.0197 Cobweb
## 34 34 2029-04-10 1361.6221 Cobweb
## 35 35 2029-05-10 1361.9203 Cobweb
## 36 36 2029-06-10 1361.6967 Cobweb
## 37 37 2029-07-10 1361.8644 Cobweb
## 38 38 2029-08-10 1361.7386 Cobweb
## 39 39 2029-09-10 1361.8329 Cobweb
## 40 40 2029-10-10 1361.7622 Cobweb
## 41 41 2029-11-10 1361.8152 Cobweb
## 42 42 2029-12-10 1361.7754 Cobweb
## 43 43 2030-01-10 1361.8053 Cobweb
## 44 44 2030-02-10 1361.7829 Cobweb
## 45 45 2030-03-10 1361.7997 Cobweb
## 46 46 2030-04-10 1361.7871 Cobweb
## 47 47 2030-05-10 1361.7965 Cobweb
## 48 48 2030-06-10 1361.7895 Cobweb
## 49 49 2030-07-10 1361.7948 Cobweb
## 50 50 2030-08-10 1361.7908 Cobweb
## 51 51 2030-09-10 1361.7938 Cobweb
## 52 52 2030-10-10 1361.7915 Cobweb
## 53 53 2030-11-10 1361.7932 Cobweb
## 54 54 2030-12-10 1361.7920 Cobweb
## 55 55 2031-01-10 1361.7929 Cobweb
## 56 56 2031-02-10 1361.7922 Cobweb
## 57 57 2031-03-10 1361.7927 Cobweb
## 58 58 2031-04-10 1361.7923 Cobweb
## 59 59 2031-05-10 1361.7926 Cobweb
## 60 60 2031-06-10 1361.7924 Cobweb
## 61 61 2031-07-10 1361.7926 Cobweb
## 62 62 2031-08-10 1361.7924 Cobweb
## 63 63 2031-09-10 1361.7925 Cobweb
## 64 64 2031-10-10 1361.7925 Cobweb
## 65 65 2031-11-10 1361.7925 Cobweb
## 66 66 2031-12-10 1361.7925 Cobweb
## 67 67 2032-01-10 1361.7925 Cobweb
## 68 68 2032-02-10 1361.7925 Cobweb
## 69 69 2032-03-10 1361.7925 Cobweb
## 70 70 2032-04-10 1361.7925 Cobweb
## 71 71 2032-05-10 1361.7925 Cobweb
## 72 72 2032-06-10 1361.7925 Cobweb
## 73 73 2032-07-10 1361.7925 Cobweb
## 74 74 2032-08-10 1361.7925 Cobweb
## 75 75 2032-09-10 1361.7925 Cobweb
## 76 76 2032-10-10 1361.7925 Cobweb
## 77 77 2032-11-10 1361.7925 Cobweb
## 78 78 2032-12-10 1361.7925 Cobweb
## 79 79 2033-01-10 1361.7925 Cobweb
## 80 80 2033-02-10 1361.7925 Cobweb
## 81 81 2033-03-10 1361.7925 Cobweb
## 82 82 2033-04-10 1361.7925 Cobweb
## 83 83 2033-05-10 1361.7925 Cobweb
## 84 84 2033-06-10 1361.7925 Cobweb
## 85 85 2033-07-10 1361.7925 Cobweb
## 86 86 2033-08-10 1361.7925 Cobweb
## 87 87 2033-09-10 1361.7925 Cobweb
## 88 88 2033-10-10 1361.7925 Cobweb
## 89 89 2033-11-10 1361.7925 Cobweb
## 90 90 2033-12-10 1361.7925 Cobweb
## 91 91 2034-01-10 1361.7925 Cobweb
## 92 92 2034-02-10 1361.7925 Cobweb
## 93 93 2034-03-10 1361.7925 Cobweb
## 94 94 2034-04-10 1361.7925 Cobweb
## 95 95 2034-05-10 1361.7925 Cobweb
## 96 96 2034-06-10 1361.7925 Cobweb
## 97 97 2034-07-10 1361.7925 Cobweb
## 98 98 2034-08-10 1361.7925 Cobweb
## 99 99 2034-09-10 1361.7925 Cobweb
## 100 100 2034-10-10 1361.7925 Cobweb
## 101 101 2034-11-10 1361.7925 Cobweb
## 102 102 2034-12-10 1361.7925 Cobweb
## 103 103 2035-01-10 1361.7925 Cobweb
## 104 104 2035-02-10 1361.7925 Cobweb
## 105 105 2035-03-10 1361.7925 Cobweb
## 106 106 2035-04-10 1361.7925 Cobweb
## 107 107 2035-05-10 1361.7925 Cobweb
## 108 108 2035-06-10 1361.7925 Cobweb
## 109 109 2035-07-10 1361.7925 Cobweb
## 110 110 2035-08-10 1361.7925 Cobweb
## 111 111 2035-09-10 1361.7925 Cobweb
## 112 112 2035-10-10 1361.7925 Cobweb
## 113 113 2035-11-10 1361.7925 Cobweb
## 114 114 2035-12-10 1361.7925 Cobweb
## 115 115 2036-01-10 1361.7925 Cobweb
## 116 116 2036-02-10 1361.7925 Cobweb
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## 580 220 2044-10-10 22943.0363 GBM
## 581 221 2044-11-10 23137.2111 GBM
## 582 222 2044-12-10 23333.0294 GBM
## 583 223 2045-01-10 23530.5049 GBM
## 584 224 2045-02-10 23729.6517 GBM
## 585 225 2045-03-10 23930.4839 GBM
## 586 226 2045-04-10 24133.0159 GBM
## 587 227 2045-05-10 24337.2619 GBM
## 588 228 2045-06-10 24543.2366 GBM
## 589 229 2045-07-10 24750.9545 GBM
## 590 230 2045-08-10 24960.4304 GBM
## 591 231 2045-09-10 25171.6791 GBM
## 592 232 2045-10-10 25384.7157 GBM
## 593 233 2045-11-10 25599.5554 GBM
## 594 234 2045-12-10 25816.2133 GBM
## 595 235 2046-01-10 26034.7048 GBM
## 596 236 2046-02-10 26255.0455 GBM
## 597 237 2046-03-10 26477.2510 GBM
## 598 238 2046-04-10 26701.3372 GBM
## 599 239 2046-05-10 26927.3198 GBM
## 600 240 2046-06-10 27155.2150 GBM
## 601 241 2046-07-10 27385.0390 GBM
## 602 242 2046-08-10 27616.8081 GBM
## 603 243 2046-09-10 27850.5387 GBM
## 604 244 2046-10-10 28086.2474 GBM
## 605 245 2046-11-10 28323.9510 GBM
## 606 246 2046-12-10 28563.6664 GBM
## 607 247 2047-01-10 28805.4106 GBM
## 608 248 2047-02-10 29049.2007 GBM
## 609 249 2047-03-10 29295.0542 GBM
## 610 250 2047-04-10 29542.9883 GBM
## 611 251 2047-05-10 29793.0209 GBM
## 612 252 2047-06-10 30045.1695 GBM
## 613 253 2047-07-10 30299.4522 GBM
## 614 254 2047-08-10 30555.8869 GBM
## 615 255 2047-09-10 30814.4919 GBM
## 616 256 2047-10-10 31075.2856 GBM
## 617 257 2047-11-10 31338.2865 GBM
## 618 258 2047-12-10 31603.5133 GBM
## 619 259 2048-01-10 31870.9847 GBM
## 620 260 2048-02-10 32140.7199 GBM
## 621 261 2048-03-10 32412.7379 GBM
## 622 262 2048-04-10 32687.0581 GBM
## 623 263 2048-05-10 32963.7000 GBM
## 624 264 2048-06-10 33242.6832 GBM
## 625 265 2048-07-10 33524.0275 GBM
## 626 266 2048-08-10 33807.7530 GBM
## 627 267 2048-09-10 34093.8797 GBM
## 628 268 2048-10-10 34382.4280 GBM
## 629 269 2048-11-10 34673.4183 GBM
## 630 270 2048-12-10 34966.8715 GBM
## 631 271 2049-01-10 35262.8082 GBM
## 632 272 2049-02-10 35561.2495 GBM
## 633 273 2049-03-10 35862.2167 GBM
## 634 274 2049-04-10 36165.7310 GBM
## 635 275 2049-05-10 36471.8141 GBM
## 636 276 2049-06-10 36780.4877 GBM
## 637 277 2049-07-10 37091.7737 GBM
## 638 278 2049-08-10 37405.6942 GBM
## 639 279 2049-09-10 37722.2715 GBM
## 640 280 2049-10-10 38041.5281 GBM
## 641 281 2049-11-10 38363.4867 GBM
## 642 282 2049-12-10 38688.1702 GBM
## 643 283 2050-01-10 39015.6015 GBM
## 644 284 2050-02-10 39345.8041 GBM
## 645 285 2050-03-10 39678.8012 GBM
## 646 286 2050-04-10 40014.6166 GBM
## 647 287 2050-05-10 40353.2742 GBM
## 648 288 2050-06-10 40694.7979 GBM
## 649 289 2050-07-10 41039.2120 GBM
## 650 290 2050-08-10 41386.5411 GBM
## 651 291 2050-09-10 41736.8097 GBM
## 652 292 2050-10-10 42090.0427 GBM
## 653 293 2050-11-10 42446.2653 GBM
## 654 294 2050-12-10 42805.5027 GBM
## 655 295 2051-01-10 43167.7805 GBM
## 656 296 2051-02-10 43533.1243 GBM
## 657 297 2051-03-10 43901.5602 GBM
## 658 298 2051-04-10 44273.1143 GBM
## 659 299 2051-05-10 44647.8130 GBM
## 660 300 2051-06-10 45025.6829 GBM
## 661 301 2051-07-10 45406.7508 GBM
## 662 302 2051-08-10 45791.0438 GBM
## 663 303 2051-09-10 46178.5893 GBM
## 664 304 2051-10-10 46569.4146 GBM
## 665 305 2051-11-10 46963.5477 GBM
## 666 306 2051-12-10 47361.0164 GBM
## 667 307 2052-01-10 47761.8491 GBM
## 668 308 2052-02-10 48166.0741 GBM
## 669 309 2052-03-10 48573.7203 GBM
## 670 310 2052-04-10 48984.8165 GBM
## 671 311 2052-05-10 49399.3919 GBM
## 672 312 2052-06-10 49817.4760 GBM
## 673 313 2052-07-10 50239.0986 GBM
## 674 314 2052-08-10 50664.2894 GBM
## 675 315 2052-09-10 51093.0788 GBM
## 676 316 2052-10-10 51525.4972 GBM
## 677 317 2052-11-10 51961.5753 GBM
## 678 318 2052-12-10 52401.3441 GBM
## 679 319 2053-01-10 52844.8348 GBM
## 680 320 2053-02-10 53292.0789 GBM
## 681 321 2053-03-10 53743.1082 GBM
## 682 322 2053-04-10 54197.9547 GBM
## 683 323 2053-05-10 54656.6507 GBM
## 684 324 2053-06-10 55119.2289 GBM
## 685 325 2053-07-10 55585.7219 GBM
## 686 326 2053-08-10 56056.1631 GBM
## 687 327 2053-09-10 56530.5858 GBM
## 688 328 2053-10-10 57009.0237 GBM
## 689 329 2053-11-10 57491.5108 GBM
## 690 330 2053-12-10 57978.0813 GBM
## 691 331 2054-01-10 58468.7699 GBM
## 692 332 2054-02-10 58963.6113 GBM
## 693 333 2054-03-10 59462.6407 GBM
## 694 334 2054-04-10 59965.8936 GBM
## 695 335 2054-05-10 60473.4057 GBM
## 696 336 2054-06-10 60985.2130 GBM
## 697 337 2054-07-10 61501.3520 GBM
## 698 338 2054-08-10 62021.8592 GBM
## 699 339 2054-09-10 62546.7716 GBM
## 700 340 2054-10-10 63076.1266 GBM
## 701 341 2054-11-10 63609.9617 GBM
## 702 342 2054-12-10 64148.3148 GBM
## 703 343 2055-01-10 64691.2241 GBM
## 704 344 2055-02-10 65238.7283 GBM
## 705 345 2055-03-10 65790.8662 GBM
## 706 346 2055-04-10 66347.6771 GBM
## 707 347 2055-05-10 66909.2004 GBM
## 708 348 2055-06-10 67475.4761 GBM
## 709 349 2055-07-10 68046.5444 GBM
## 710 350 2055-08-10 68622.4458 GBM
## 711 351 2055-09-10 69203.2213 GBM
## 712 352 2055-10-10 69788.9121 GBM
## 713 353 2055-11-10 70379.5598 GBM
## 714 354 2055-12-10 70975.2064 GBM
## 715 355 2056-01-10 71575.8941 GBM
## 716 356 2056-02-10 72181.6656 GBM
## 717 357 2056-03-10 72792.5640 GBM
## 718 358 2056-04-10 73408.6327 GBM
## 719 359 2056-05-10 74029.9153 GBM
## 720 360 2056-06-10 74656.4561 GBMg2 <- ggplot(df_det_oba, aes(x = Datum, y = Cijena, colour = Model)) +
geom_line(linewidth = 0.9) +
geom_hline(yintercept = ravnotezna_cijena, linetype = "dashed",
colour = "grey40", linewidth = 0.6) +
scale_colour_manual(values = c("Cobweb" = "#2C6E49", "GBM" = "#C8A951")) +
scale_y_continuous(labels = dollar_format(prefix = "$")) +
scale_x_date(date_breaks = "5 years", date_labels = "%Y") +
labs(title = "Usporedba modela: Cobweb vs GBM (deterministička linija)",
subtitle = "Cobweb konvergira prema ravnoteži | GBM prati empirijski trend",
x = "Godina", y = "Cijena (USD/troy oz)", colour = "Model") +
theme_minimal(base_size = 11) +
theme(plot.title = element_text(face = "bold", size = 13),
axis.text.x = element_text(angle = 45, hjust = 1),
legend.position = "bottom")
g2
Graf prikazuje deterministička kretanja cijena prema Cobweb i GBM modelu kroz 30-godišnje simulacijsko razdoblje. Cobweb model (zelena linija) pokazuje oscilacije na početku simulacije, nakon čega cijena konvergira prema ravnotežnoj vrijednosti od $1.362/oz do oko 2030. godine. GBM model (zlatna linija) prikazuje kontinuirani eksponencijalni rast temeljen na empirijskom trendu iz prošlih 20 godina, dosežući $74.656/oz do 2056. Oba modela predstavljaju pojednostavljivanja stvarnosti - Cobweb zanemaruje dugoročni inflacijski trend, dok GBM zanemaruje ekonomske mehanizme koji ograničavaju neograničeni rast cijene. Stvarno kretanje cijene zlata vjerojatno će se nalaziti između ove dvije krajnosti, što oba modela zajedno čini korisnijim alatom za navigaciju nego svaki zasebno.
9.3 Monte Carlo – Cobweb
g3 <- ggplot(df_mc_cobweb, aes(x = Datum)) +
geom_ribbon(aes(ymin = q05, ymax = q95), fill = "#2C6E49", alpha = 0.15) +
geom_ribbon(aes(ymin = q25, ymax = q75), fill = "#2C6E49", alpha = 0.30) +
geom_line(aes(y = q50), colour = "#2C6E49", linewidth = 1.1) +
geom_hline(yintercept = ravnotezna_cijena, linetype = "dashed",
colour = "steelblue", linewidth = 0.6) +
scale_y_continuous(labels = dollar_format(prefix = "$")) +
scale_x_date(date_breaks = "5 years", date_labels = "%Y") +
labs(title = "Monte Carlo – Cobweb model (n = 1.000 scenarija)",
subtitle = "Tamni dio = 50% CI | Svjetli dio = 90% CI | Linija = medijan",
x = "Godina", y = "Cijena (USD/troy oz)") +
theme_minimal(base_size = 11) +
theme(plot.title = element_text(face = "bold", size = 13),
axis.text.x = element_text(angle = 45, hjust = 1))
g3
Graf prikazuje rezultate Monte Carlo simulacije Cobweb modela s 1.000 scenarija kroz 30 godina. Središnja tamna linija predstavlja medijan - vrijednost oko koje se grupira polovica scenarija - i pokazuje dugoročnu težnju cijene prema ravnotežnoj vrijednosti od $1.362/oz. Tamni dio obuhvaća 50% scenarija (25.-75. percentil), a svjetli dio 90% scenarija (5.-95. percentil). Dijelovi se šire prema desnoj strani grafa jer se slučajni šokovi akumuliraju kroz vrijeme - što je horizont duži, to je neizvjesnost veća. Ipak, zahvaljujući Cobweb mehanizmu povrata prema ravnoteži, raspon ostaje relativno uzak: 90% scenarija završava između $1.217 i $1.525/oz.
9.4 Monte Carlo – GBM
g4 <- ggplot(df_mc_gbm, aes(x = Datum)) +
geom_ribbon(aes(ymin = q05, ymax = q95), fill = "#C8A951", alpha = 0.15) +
geom_ribbon(aes(ymin = q25, ymax = q75), fill = "#C8A951", alpha = 0.30) +
geom_line(aes(y = q50), colour = "#8B6914", linewidth = 1.1) +
scale_y_continuous(labels = dollar_format(prefix = "$")) +
scale_x_date(date_breaks = "5 years", date_labels = "%Y") +
labs(title = "Monte Carlo – GBM model (n = 1.000 scenarija)",
subtitle = "Tamni dio = 50% CI | Svjetli dio = 90% CI | Linija = medijan",
x = "Godina", y = "Cijena (USD/troy oz)") +
theme_minimal(base_size = 11) +
theme(plot.title = element_text(face = "bold", size = 13),
axis.text.x = element_text(angle = 45, hjust = 1))
g4
Graf prikazuje Monte Carlo simulaciju GBM modela s 1.000 scenarija. Za razliku od Cobweb modela, GBM nema mehanizma povrata prema ravnoteži — svaki scenarij slobodno prati akumulirane slučajne šokove bez ekonomske korekcije. Rezultat je iznimno širok raspon ishoda: 90% scenarija završava između $20.894 i $306.370/oz za 30 godina. Ovaj široki raspon reflektira spekulativnu prirodu dugoročnih projekcija bez strukturnih ograničenja. Za investitora, ovako širok interval pouzdanosti praktički je neupotrebljiv za konkretne odluke — GBM je pouzdaniji alat za kratkoročnu kvantifikaciju volatilnosti nego za dugoročne projekcije.
9.5 Usporedba medijana
df_medijani <- data.frame(
Datum = datumi_sim,
Cobweb = df_mc_cobweb$q50,
GBM = df_mc_gbm$q50
)
df_medijani## Datum Cobweb GBM
## 1 2026-07-10 3623.1400 3623.140
## 2 2026-08-10 -336.9221 3657.937
## 3 2026-09-10 2655.0878 3693.237
## 4 2026-10-10 394.2039 3714.610
## 5 2026-11-10 2098.8843 3738.519
## 6 2026-12-10 817.1381 3753.580
## 7 2027-01-10 1785.1579 3774.306
## 8 2027-02-10 1049.2209 3806.270
## 9 2027-03-10 1609.2009 3848.989
## 10 2027-04-10 1187.9619 3868.278
## 11 2027-05-10 1504.2953 3887.956
## 12 2027-06-10 1261.8186 3959.195
## 13 2027-07-10 1448.0778 3966.401
## 14 2027-08-10 1306.1514 4000.537
## 15 2027-09-10 1416.3059 4032.098
## 16 2027-10-10 1337.0459 4054.834
## 17 2027-11-10 1393.2872 4093.717
## 18 2027-12-10 1346.1071 4124.628
## 19 2028-01-10 1385.5535 4153.534
## 20 2028-02-10 1354.5548 4188.345
## 21 2028-03-10 1376.9341 4210.330
## 22 2028-04-10 1355.8036 4237.453
## 23 2028-05-10 1379.7799 4242.434
## 24 2028-06-10 1357.1116 4298.819
## 25 2028-07-10 1368.6391 4351.406
## 26 2028-08-10 1368.2687 4356.491
## 27 2028-09-10 1367.6252 4418.080
## 28 2028-10-10 1370.5365 4466.324
## 29 2028-11-10 1366.5827 4503.471
## 30 2028-12-10 1370.2437 4581.617
## 31 2029-01-10 1366.4946 4576.391
## 32 2029-02-10 1367.3932 4617.813
## 33 2029-03-10 1363.0337 4653.521
## 34 2029-04-10 1370.3922 4709.941
## 35 2029-05-10 1369.1629 4734.709
## 36 2029-06-10 1365.5614 4776.629
## 37 2029-07-10 1365.7775 4860.818
## 38 2029-08-10 1372.4988 4903.487
## 39 2029-09-10 1362.4744 4976.929
## 40 2029-10-10 1365.9837 4981.362
## 41 2029-11-10 1370.2463 5116.127
## 42 2029-12-10 1365.8493 5124.161
## 43 2030-01-10 1362.9679 5146.522
## 44 2030-02-10 1364.0722 5214.632
## 45 2030-03-10 1371.0342 5294.780
## 46 2030-04-10 1364.9413 5335.494
## 47 2030-05-10 1373.1424 5330.401
## 48 2030-06-10 1369.1403 5399.030
## 49 2030-07-10 1367.2690 5444.206
## 50 2030-08-10 1372.3849 5464.939
## 51 2030-09-10 1366.3762 5536.301
## 52 2030-10-10 1373.3725 5549.328
## 53 2030-11-10 1362.5960 5556.617
## 54 2030-12-10 1370.1454 5606.478
## 55 2031-01-10 1365.9509 5645.234
## 56 2031-02-10 1372.3802 5709.382
## 57 2031-03-10 1361.2515 5735.762
## 58 2031-04-10 1371.2307 5806.192
## 59 2031-05-10 1364.4645 5795.880
## 60 2031-06-10 1371.2054 5842.831
## 61 2031-07-10 1368.0192 5823.622
## 62 2031-08-10 1368.7534 5881.179
## 63 2031-09-10 1366.9760 6033.417
## 64 2031-10-10 1367.8133 6002.298
## 65 2031-11-10 1367.9740 6107.884
## 66 2031-12-10 1364.3298 6142.190
## 67 2032-01-10 1374.1454 6180.056
## 68 2032-02-10 1367.2159 6220.285
## 69 2032-03-10 1369.1814 6264.344
## 70 2032-04-10 1362.8537 6365.284
## 71 2032-05-10 1366.3980 6456.244
## 72 2032-06-10 1370.5852 6509.289
## 73 2032-07-10 1366.5115 6507.043
## 74 2032-08-10 1368.1671 6540.902
## 75 2032-09-10 1372.0975 6679.805
## 76 2032-10-10 1365.6792 6717.134
## 77 2032-11-10 1368.8508 6831.173
## 78 2032-12-10 1367.4954 6838.412
## 79 2033-01-10 1364.9128 6902.076
## 80 2033-02-10 1366.0125 6889.380
## 81 2033-03-10 1364.2861 6902.559
## 82 2033-04-10 1364.4111 7024.635
## 83 2033-05-10 1368.2596 7072.086
## 84 2033-06-10 1366.4798 7134.266
## 85 2033-07-10 1372.2918 7231.927
## 86 2033-08-10 1364.3392 7285.497
## 87 2033-09-10 1367.7340 7390.408
## 88 2033-10-10 1368.5515 7429.931
## 89 2033-11-10 1361.8108 7556.935
## 90 2033-12-10 1366.6678 7613.558
## 91 2034-01-10 1366.8723 7623.190
## 92 2034-02-10 1369.4035 7740.021
## 93 2034-03-10 1365.1105 7829.795
## 94 2034-04-10 1365.3032 7873.674
## 95 2034-05-10 1366.7340 7947.401
## 96 2034-06-10 1365.0819 7964.049
## 97 2034-07-10 1369.6357 8057.427
## 98 2034-08-10 1363.0339 8161.071
## 99 2034-09-10 1366.4091 8291.772
## 100 2034-10-10 1369.0540 8249.716
## 101 2034-11-10 1361.6569 8284.798
## 102 2034-12-10 1371.6290 8354.069
## 103 2035-01-10 1363.6979 8411.596
## 104 2035-02-10 1372.2855 8502.030
## 105 2035-03-10 1363.6662 8612.842
## 106 2035-04-10 1375.5917 8591.882
## 107 2035-05-10 1360.9330 8604.750
## 108 2035-06-10 1369.6744 8825.663
## 109 2035-07-10 1366.4376 8941.563
## 110 2035-08-10 1365.6377 8992.889
## 111 2035-09-10 1372.9839 9064.588
## 112 2035-10-10 1363.0061 9142.500
## 113 2035-11-10 1372.3512 9182.019
## 114 2035-12-10 1365.6742 9271.807
## 115 2036-01-10 1364.3510 9542.104
## 116 2036-02-10 1369.3841 9555.415
## 117 2036-03-10 1370.2546 9637.861
## 118 2036-04-10 1369.1628 9746.626
## 119 2036-05-10 1365.3806 9676.992
## 120 2036-06-10 1372.6290 9858.527
## 121 2036-07-10 1368.7190 9920.302
## 122 2036-08-10 1369.4464 9887.449
## 123 2036-09-10 1367.6077 9951.663
## 124 2036-10-10 1366.1921 10094.846
## 125 2036-11-10 1363.8126 10134.647
## 126 2036-12-10 1371.6337 10178.223
## 127 2037-01-10 1362.9975 10341.731
## 128 2037-02-10 1376.0191 10373.796
## 129 2037-03-10 1365.7626 10383.929
## 130 2037-04-10 1371.1468 10587.807
## 131 2037-05-10 1365.1945 10536.819
## 132 2037-06-10 1367.1525 10684.175
## 133 2037-07-10 1369.7465 10781.553
## 134 2037-08-10 1363.4501 10963.419
## 135 2037-09-10 1374.7666 11005.585
## 136 2037-10-10 1365.4346 11034.024
## 137 2037-11-10 1370.3940 11159.139
## 138 2037-12-10 1366.8699 11299.913
## 139 2038-01-10 1370.8982 11436.723
## 140 2038-02-10 1361.8590 11599.977
## 141 2038-03-10 1371.2348 11643.680
## 142 2038-04-10 1365.0002 11655.053
## 143 2038-05-10 1369.4342 11790.204
## 144 2038-06-10 1363.1126 11918.111
## 145 2038-07-10 1371.1814 11861.878
## 146 2038-08-10 1364.3313 11984.422
## 147 2038-09-10 1365.9545 12013.400
## 148 2038-10-10 1367.4200 12193.007
## 149 2038-11-10 1363.8786 12249.196
## 150 2038-12-10 1370.3999 12497.150
## 151 2039-01-10 1360.6091 12549.951
## 152 2039-02-10 1376.8107 12753.126
## 153 2039-03-10 1361.0096 12897.257
## 154 2039-04-10 1371.3948 13074.561
## 155 2039-05-10 1358.9130 13231.143
## 156 2039-06-10 1372.1268 13320.498
## 157 2039-07-10 1359.5824 13438.912
## 158 2039-08-10 1373.1271 13581.904
## 159 2039-09-10 1362.2431 13686.719
## 160 2039-10-10 1375.2800 13774.418
## 161 2039-11-10 1365.4699 13892.440
## 162 2039-12-10 1368.4086 14069.826
## 163 2040-01-10 1372.8057 14091.891
## 164 2040-02-10 1365.3863 14156.598
## 165 2040-03-10 1365.7119 14293.461
## 166 2040-04-10 1372.6201 14645.010
## 167 2040-05-10 1370.0827 14703.326
## 168 2040-06-10 1368.8391 14761.134
## 169 2040-07-10 1365.8449 14810.954
## 170 2040-08-10 1371.5913 14984.543
## 171 2040-09-10 1362.8213 15356.371
## 172 2040-10-10 1376.7037 15466.240
## 173 2040-11-10 1363.4655 15674.320
## 174 2040-12-10 1373.7112 15627.210
## 175 2041-01-10 1367.2258 15680.760
## 176 2041-02-10 1368.9570 15903.577
## 177 2041-03-10 1365.8722 16160.014
## 178 2041-04-10 1364.4627 16181.852
## 179 2041-05-10 1368.9857 16379.759
## 180 2041-06-10 1362.8858 16639.089
## 181 2041-07-10 1370.6031 16823.129
## 182 2041-08-10 1367.3625 16849.340
## 183 2041-09-10 1373.2072 16864.033
## 184 2041-10-10 1364.5452 17023.688
## 185 2041-11-10 1369.8922 17229.548
## 186 2041-12-10 1367.2494 17432.810
## 187 2042-01-10 1363.2577 17553.436
## 188 2042-02-10 1372.8167 17720.812
## 189 2042-03-10 1364.6898 17879.705
## 190 2042-04-10 1367.4670 17812.267
## 191 2042-05-10 1367.4433 18157.862
## 192 2042-06-10 1375.1639 18140.679
## 193 2042-07-10 1364.3220 18239.028
## 194 2042-08-10 1370.0204 18599.858
## 195 2042-09-10 1363.0464 18695.432
## 196 2042-10-10 1371.3258 18830.962
## 197 2042-11-10 1363.5586 19009.930
## 198 2042-12-10 1362.6286 18997.553
## 199 2043-01-10 1368.1816 19253.089
## 200 2043-02-10 1373.1664 19529.427
## 201 2043-03-10 1361.1899 19682.592
## 202 2043-04-10 1367.8332 19781.837
## 203 2043-05-10 1368.3725 19865.855
## 204 2043-06-10 1372.3029 20112.264
## 205 2043-07-10 1367.1345 20292.633
## 206 2043-08-10 1364.3374 20457.348
## 207 2043-09-10 1366.8534 20704.854
## 208 2043-10-10 1364.5064 20847.064
## 209 2043-11-10 1369.8891 20936.660
## 210 2043-12-10 1373.1592 20938.871
## 211 2044-01-10 1358.7610 21428.032
## 212 2044-02-10 1365.5002 21541.737
## 213 2044-03-10 1368.7470 21850.178
## 214 2044-04-10 1368.2882 21849.716
## 215 2044-05-10 1363.8158 21954.381
## 216 2044-06-10 1367.0629 22183.919
## 217 2044-07-10 1370.2527 22371.724
## 218 2044-08-10 1364.4713 22344.355
## 219 2044-09-10 1375.7802 22255.269
## 220 2044-10-10 1365.4894 22656.199
## 221 2044-11-10 1376.1339 23014.626
## 222 2044-12-10 1369.3860 22914.600
## 223 2045-01-10 1363.9106 23251.823
## 224 2045-02-10 1368.0228 23424.645
## 225 2045-03-10 1366.6311 23802.008
## 226 2045-04-10 1367.5313 23907.549
## 227 2045-05-10 1369.6070 24209.476
## 228 2045-06-10 1365.9464 24541.095
## 229 2045-07-10 1367.8499 24935.219
## 230 2045-08-10 1367.0634 25312.350
## 231 2045-09-10 1369.6861 25585.962
## 232 2045-10-10 1367.7495 25560.152
## 233 2045-11-10 1364.0388 25983.614
## 234 2045-12-10 1372.9068 25839.652
## 235 2046-01-10 1363.3742 25872.391
## 236 2046-02-10 1371.1151 26492.843
## 237 2046-03-10 1361.8173 26635.847
## 238 2046-04-10 1374.5365 27079.167
## 239 2046-05-10 1364.7559 27133.356
## 240 2046-06-10 1370.3070 27308.908
## 241 2046-07-10 1368.1355 27401.057
## 242 2046-08-10 1367.4880 27823.752
## 243 2046-09-10 1370.8866 27679.731
## 244 2046-10-10 1365.8271 28039.191
## 245 2046-11-10 1372.1977 28649.064
## 246 2046-12-10 1362.9503 28672.470
## 247 2047-01-10 1367.2840 29261.457
## 248 2047-02-10 1368.7417 29044.012
## 249 2047-03-10 1368.1035 29270.414
## 250 2047-04-10 1369.1053 29752.011
## 251 2047-05-10 1360.7071 30242.399
## 252 2047-06-10 1366.6412 30426.740
## 253 2047-07-10 1367.3605 30712.534
## 254 2047-08-10 1372.5893 30651.532
## 255 2047-09-10 1366.5203 30821.355
## 256 2047-10-10 1370.0870 30871.935
## 257 2047-11-10 1362.6243 31453.742
## 258 2047-12-10 1369.0446 31655.006
## 259 2048-01-10 1364.4679 32321.717
## 260 2048-02-10 1368.2074 32517.129
## 261 2048-03-10 1372.1899 32771.845
## 262 2048-04-10 1362.4301 33040.121
## 263 2048-05-10 1372.1234 33449.605
## 264 2048-06-10 1361.4220 34129.784
## 265 2048-07-10 1370.3665 33825.835
## 266 2048-08-10 1365.1503 34568.119
## 267 2048-09-10 1369.7578 34982.912
## 268 2048-10-10 1364.0333 35283.172
## 269 2048-11-10 1371.1564 35478.954
## 270 2048-12-10 1370.8428 35657.499
## 271 2049-01-10 1369.7958 36363.525
## 272 2049-02-10 1368.7018 35935.864
## 273 2049-03-10 1366.2405 36234.620
## 274 2049-04-10 1369.9378 36914.126
## 275 2049-05-10 1365.2367 36217.133
## 276 2049-06-10 1369.8581 36526.228
## 277 2049-07-10 1370.1268 37101.758
## 278 2049-08-10 1366.5856 37786.699
## 279 2049-09-10 1367.5595 37776.009
## 280 2049-10-10 1371.6834 38212.173
## 281 2049-11-10 1365.8947 38476.257
## 282 2049-12-10 1368.3138 38663.692
## 283 2050-01-10 1366.7856 38694.108
## 284 2050-02-10 1366.3043 39054.726
## 285 2050-03-10 1373.2421 39399.254
## 286 2050-04-10 1364.9622 39982.687
## 287 2050-05-10 1363.1452 40550.477
## 288 2050-06-10 1370.4337 41145.482
## 289 2050-07-10 1363.5087 41825.859
## 290 2050-08-10 1371.9027 42317.348
## 291 2050-09-10 1363.6554 42274.853
## 292 2050-10-10 1371.7075 42598.508
## 293 2050-11-10 1365.9475 42802.609
## 294 2050-12-10 1367.7121 42945.711
## 295 2051-01-10 1364.5956 43974.668
## 296 2051-02-10 1367.7581 43972.662
## 297 2051-03-10 1362.5388 45121.585
## 298 2051-04-10 1370.6429 45169.155
## 299 2051-05-10 1364.5638 45408.129
## 300 2051-06-10 1368.4647 46174.742
## 301 2051-07-10 1361.4673 46141.480
## 302 2051-08-10 1369.8181 47069.697
## 303 2051-09-10 1364.1391 46946.911
## 304 2051-10-10 1373.3595 47259.938
## 305 2051-11-10 1361.4160 47330.551
## 306 2051-12-10 1370.2582 47399.372
## 307 2052-01-10 1366.2415 48249.259
## 308 2052-02-10 1369.3721 48954.047
## 309 2052-03-10 1365.4329 49357.386
## 310 2052-04-10 1363.9807 49672.759
## 311 2052-05-10 1365.8915 50399.415
## 312 2052-06-10 1365.4620 50829.262
## 313 2052-07-10 1370.3847 51253.483
## 314 2052-08-10 1366.4621 51746.801
## 315 2052-09-10 1369.8200 51683.897
## 316 2052-10-10 1365.4343 51707.768
## 317 2052-11-10 1369.6318 52537.357
## 318 2052-12-10 1367.8458 52985.787
## 319 2053-01-10 1366.8469 53207.645
## 320 2053-02-10 1364.2216 53417.749
## 321 2053-03-10 1363.1636 53921.523
## 322 2053-04-10 1373.2781 54178.858
## 323 2053-05-10 1362.8527 55001.212
## 324 2053-06-10 1376.1260 55411.885
## 325 2053-07-10 1362.8412 56253.452
## 326 2053-08-10 1366.0913 57012.739
## 327 2053-09-10 1366.1037 57723.296
## 328 2053-10-10 1366.6071 58323.852
## 329 2053-11-10 1368.3057 58320.108
## 330 2053-12-10 1368.5267 59257.715
## 331 2054-01-10 1373.7759 59456.232
## 332 2054-02-10 1364.1275 59876.293
## 333 2054-03-10 1376.3805 60831.741
## 334 2054-04-10 1365.9509 61229.118
## 335 2054-05-10 1375.5130 60848.991
## 336 2054-06-10 1361.2256 60960.988
## 337 2054-07-10 1368.5040 61671.762
## 338 2054-08-10 1363.3231 62323.389
## 339 2054-09-10 1367.2498 62761.466
## 340 2054-10-10 1368.6830 64359.368
## 341 2054-11-10 1368.6136 64994.544
## 342 2054-12-10 1368.9472 65957.082
## 343 2055-01-10 1365.4509 65712.386
## 344 2055-02-10 1370.7830 67313.979
## 345 2055-03-10 1365.1730 68466.572
## 346 2055-04-10 1366.0527 68532.014
## 347 2055-05-10 1369.1013 70039.769
## 348 2055-06-10 1372.1099 70015.205
## 349 2055-07-10 1365.1392 70396.104
## 350 2055-08-10 1368.1212 70398.272
## 351 2055-09-10 1368.2988 71483.618
## 352 2055-10-10 1366.8788 73421.084
## 353 2055-11-10 1366.1201 73835.468
## 354 2055-12-10 1367.8754 74621.987
## 355 2056-01-10 1365.5730 74980.683
## 356 2056-02-10 1370.7635 76378.031
## 357 2056-03-10 1366.4258 76875.627
## 358 2056-04-10 1365.8018 76997.402
## 359 2056-05-10 1365.7078 77742.634
## 360 2056-06-10 1372.4881 76347.455g5 <- ggplot(df_medijani, aes(x = Datum)) +
geom_line(aes(y = Cobweb, colour = "Cobweb"), linewidth = 1.1) +
geom_line(aes(y = GBM, colour = "GBM"), linewidth = 1.1) +
geom_hline(yintercept = ravnotezna_cijena, linetype = "dashed",
colour = "grey50", linewidth = 0.6) +
annotate("text", x = min(datumi_sim) + years(1),
y = ravnotezna_cijena + 80,
label = paste0("Cobweb P* = $", round(ravnotezna_cijena, 0)),
colour = "grey40", size = 3.2) +
scale_colour_manual(values = c("Cobweb" = "#2C6E49", "GBM" = "#C8A951")) +
scale_y_continuous(labels = dollar_format(prefix = "$")) +
scale_x_date(date_breaks = "5 years", date_labels = "%Y") +
labs(title = "Usporedba medijana: Cobweb vs GBM Monte Carlo",
subtitle = "Cobweb konvergira prema ravnoteži | GBM raste s empirijskim trendom",
x = "Godina", y = "Cijena (USD/troy oz)", colour = "Model") +
theme_minimal(base_size = 11) +
theme(plot.title = element_text(face = "bold", size = 13),
axis.text.x = element_text(angle = 45, hjust = 1),
legend.position = "bottom")
g5
Graf prikazuje medijane Monte Carlo simulacije oba modela na istoj osi, omogućujući direktnu usporedbu dugoročnih projekcija. Obje linije kreću s iste startne cijene od $3.623/oz, no kroz vrijeme se potpuno razilaze - Cobweb medijan konvergira prema $1.372/oz, dok GBM medijan eksponencijalno raste prema $76.347/oz. Razilaženje linija nije greška modela nego refleksija fundamentalno različitih pretpostavki: Cobweb pretpostavlja povrat prema ekonomskoj ravnoteži, GBM pretpostavlja nastavak povijesnog trenda. Za kratkoročne poslovne odluke (1-3 godine) razlika između modela je mala i oba daju korisne procjene. Za dugoročne odluke (10+ godina) razilaženje je toliko veliko da precizna prognoza nije moguća — umjesto točnih brojeva, modeli služe kao okvir za razumijevanje raspona mogućih ishoda.
9.6 Histogrami finalnih cijena
fin_cobweb <- MC_cobweb[, n_koraka]
fin_gbm <- MC_gbm[, n_koraka]
df_fin_cobweb <- data.frame(Cijena = fin_cobweb)
df_fin_cobweb## Cijena
## 1 1296.476
## 2 1251.787
## 3 1331.800
## 4 1368.398
## 5 1459.464
## 6 1385.762
## 7 1270.176
## 8 1535.199
## 9 1471.645
## 10 1181.481
## 11 1213.222
## 12 1224.735
## 13 1506.265
## 14 1317.148
## 15 1448.499
## 16 1207.499
## 17 1400.041
## 18 1428.553
## 19 1387.644
## 20 1388.647
## 21 1431.112
## 22 1356.121
## 23 1426.471
## 24 1232.330
## 25 1298.942
## 26 1300.346
## 27 1300.205
## 28 1455.214
## 29 1388.261
## 30 1484.531
## 31 1323.326
## 32 1306.764
## 33 1380.349
## 34 1381.988
## 35 1235.062
## 36 1601.426
## 37 1496.967
## 38 1212.847
## 39 1272.668
## 40 1320.617
## 41 1465.442
## 42 1328.589
## 43 1244.536
## 44 1437.245
## 45 1239.695
## 46 1314.629
## 47 1314.823
## 48 1239.920
## 49 1366.183
## 50 1219.049
## 51 1457.170
## 52 1365.638
## 53 1314.583
## 54 1216.807
## 55 1338.166
## 56 1212.437
## 57 1362.048
## 58 1363.107
## 59 1540.246
## 60 1345.835
## 61 1420.938
## 62 1416.150
## 63 1338.959
## 64 1394.785
## 65 1219.218
## 66 1481.115
## 67 1295.628
## 68 1428.553
## 69 1373.916
## 70 1124.547
## 71 1340.677
## 72 1453.964
## 73 1363.706
## 74 1369.428
## 75 1457.064
## 76 1281.849
## 77 1355.999
## 78 1425.201
## 79 1216.806
## 80 1275.328
## 81 1426.746
## 82 1427.727
## 83 1332.516
## 84 1466.668
## 85 1256.430
## 86 1510.836
## 87 1402.855
## 88 1349.239
## 89 1379.581
## 90 1332.651
## 91 1459.771
## 92 1407.034
## 93 1569.420
## 94 1367.987
## 95 1494.325
## 96 1397.191
## 97 1497.734
## 98 1132.722
## 99 1471.891
## 100 1519.207
## 101 1281.796
## 102 1425.059
## 103 1251.813
## 104 1228.295
## 105 1418.467
## 106 1260.651
## 107 1444.979
## 108 1304.223
## 109 1289.997
## 110 1675.663
## 111 1314.537
## 112 1330.126
## 113 1423.012
## 114 1382.064
## 115 1369.337
## 116 1276.572
## 117 1339.298
## 118 1429.963
## 119 1219.293
## 120 1321.742
## 121 1241.505
## 122 1394.837
## 123 1280.746
## 124 1426.945
## 125 1411.940
## 126 1518.045
## 127 1330.609
## 128 1388.158
## 129 1165.914
## 130 1412.749
## 131 1424.523
## 132 1293.373
## 133 1438.418
## 134 1433.561
## 135 1436.106
## 136 1396.498
## 137 1440.227
## 138 1188.484
## 139 1495.806
## 140 1387.633
## 141 1474.785
## 142 1421.083
## 143 1284.122
## 144 1251.495
## 145 1462.317
## 146 1361.711
## 147 1421.627
## 148 1369.278
## 149 1496.401
## 150 1358.318
## 151 1450.510
## 152 1338.359
## 153 1195.800
## 154 1355.025
## 155 1396.376
## 156 1351.219
## 157 1377.407
## 158 1336.832
## 159 1429.790
## 160 1477.324
## 161 1413.559
## 162 1363.029
## 163 1319.209
## 164 1346.875
## 165 1296.213
## 166 1246.476
## 167 1416.673
## 168 1427.925
## 169 1323.323
## 170 1277.999
## 171 1453.256
## 172 1454.712
## 173 1326.322
## 174 1524.550
## 175 1457.871
## 176 1356.021
## 177 1422.282
## 178 1493.781
## 179 1412.369
## 180 1323.197
## 181 1350.722
## 182 1335.247
## 183 1304.694
## 184 1418.758
## 185 1400.803
## 186 1271.305
## 187 1412.534
## 188 1229.599
## 189 1340.049
## 190 1469.603
## 191 1348.337
## 192 1390.906
## 193 1478.331
## 194 1310.030
## 195 1384.848
## 196 1404.877
## 197 1299.210
## 198 1338.521
## 199 1195.087
## 200 1283.511
## 201 1446.394
## 202 1476.875
## 203 1283.534
## 204 1381.949
## 205 1402.117
## 206 1238.927
## 207 1417.956
## 208 1401.254
## 209 1286.024
## 210 1334.275
## 211 1397.030
## 212 1398.955
## 213 1359.539
## 214 1475.287
## 215 1344.191
## 216 1255.838
## 217 1394.799
## 218 1366.760
## 219 1602.525
## 220 1465.188
## 221 1326.174
## 222 1458.644
## 223 1470.594
## 224 1337.734
## 225 1287.591
## 226 1438.160
## 227 1329.433
## 228 1493.992
## 229 1345.322
## 230 1301.332
## 231 1404.684
## 232 1275.534
## 233 1484.121
## 234 1245.028
## 235 1278.175
## 236 1474.054
## 237 1305.223
## 238 1438.463
## 239 1342.418
## 240 1214.573
## 241 1398.540
## 242 1379.244
## 243 1488.123
## 244 1348.721
## 245 1325.059
## 246 1332.200
## 247 1478.080
## 248 1325.956
## 249 1405.383
## 250 1553.431
## 251 1207.383
## 252 1434.666
## 253 1216.247
## 254 1481.077
## 255 1402.999
## 256 1152.407
## 257 1325.795
## 258 1621.265
## 259 1319.565
## 260 1597.574
## 261 1406.096
## 262 1439.142
## 263 1322.593
## 264 1338.192
## 265 1311.623
## 266 1422.820
## 267 1536.272
## 268 1248.099
## 269 1193.748
## 270 1508.616
## 271 1428.917
## 272 1433.320
## 273 1482.968
## 274 1281.797
## 275 1301.553
## 276 1421.490
## 277 1285.694
## 278 1337.666
## 279 1463.127
## 280 1262.776
## 281 1272.552
## 282 1484.973
## 283 1443.002
## 284 1468.253
## 285 1260.242
## 286 1416.219
## 287 1416.538
## 288 1243.622
## 289 1225.690
## 290 1320.747
## 291 1503.287
## 292 1394.085
## 293 1361.174
## 294 1346.832
## 295 1414.705
## 296 1412.617
## 297 1266.229
## 298 1177.909
## 299 1503.755
## 300 1247.127
## 301 1355.500
## 302 1262.304
## 303 1358.913
## 304 1500.535
## 305 1347.901
## 306 1427.395
## 307 1380.501
## 308 1491.114
## 309 1217.337
## 310 1332.092
## 311 1362.554
## 312 1410.687
## 313 1550.513
## 314 1383.070
## 315 1415.705
## 316 1437.035
## 317 1445.755
## 318 1402.555
## 319 1288.746
## 320 1459.210
## 321 1243.711
## 322 1502.085
## 323 1377.004
## 324 1156.572
## 325 1530.074
## 326 1530.804
## 327 1338.439
## 328 1406.946
## 329 1330.000
## 330 1424.653
## 331 1502.199
## 332 1303.076
## 333 1462.776
## 334 1270.110
## 335 1219.931
## 336 1330.905
## 337 1351.585
## 338 1388.987
## 339 1531.207
## 340 1495.802
## 341 1159.963
## 342 1204.241
## 343 1437.811
## 344 1397.395
## 345 1436.781
## 346 1313.133
## 347 1458.888
## 348 1366.019
## 349 1340.420
## 350 1441.935
## 351 1400.881
## 352 1259.606
## 353 1254.939
## 354 1477.612
## 355 1368.109
## 356 1390.087
## 357 1384.173
## 358 1606.473
## 359 1331.399
## 360 1360.088
## 361 1449.419
## 362 1333.748
## 363 1269.022
## 364 1590.616
## 365 1289.837
## 366 1247.840
## 367 1226.480
## 368 1397.527
## 369 1360.022
## 370 1459.407
## 371 1342.789
## 372 1425.123
## 373 1383.453
## 374 1413.462
## 375 1417.541
## 376 1393.766
## 377 1356.656
## 378 1298.851
## 379 1368.555
## 380 1204.495
## 381 1360.096
## 382 1293.119
## 383 1362.492
## 384 1344.463
## 385 1345.047
## 386 1360.807
## 387 1470.163
## 388 1475.723
## 389 1467.688
## 390 1381.249
## 391 1349.540
## 392 1507.603
## 393 1389.341
## 394 1402.469
## 395 1521.017
## 396 1362.111
## 397 1350.892
## 398 1366.897
## 399 1345.404
## 400 1366.401
## 401 1526.857
## 402 1346.214
## 403 1563.797
## 404 1394.096
## 405 1435.739
## 406 1368.130
## 407 1273.341
## 408 1220.573
## 409 1402.178
## 410 1274.176
## 411 1297.579
## 412 1506.680
## 413 1439.414
## 414 1455.168
## 415 1360.772
## 416 1299.737
## 417 1283.307
## 418 1489.747
## 419 1656.185
## 420 1274.717
## 421 1378.917
## 422 1398.190
## 423 1182.703
## 424 1432.495
## 425 1387.805
## 426 1406.514
## 427 1442.458
## 428 1329.764
## 429 1283.259
## 430 1314.958
## 431 1493.866
## 432 1403.564
## 433 1332.270
## 434 1346.531
## 435 1458.549
## 436 1610.205
## 437 1309.278
## 438 1538.693
## 439 1476.339
## 440 1446.676
## 441 1438.146
## 442 1359.207
## 443 1388.625
## 444 1270.820
## 445 1343.588
## 446 1340.484
## 447 1421.496
## 448 1254.138
## 449 1539.978
## 450 1480.823
## 451 1294.253
## 452 1455.827
## 453 1344.446
## 454 1512.031
## 455 1439.735
## 456 1240.162
## 457 1314.007
## 458 1490.596
## 459 1421.841
## 460 1345.010
## 461 1285.272
## 462 1416.287
## 463 1404.671
## 464 1474.142
## 465 1383.118
## 466 1356.676
## 467 1312.459
## 468 1477.577
## 469 1324.555
## 470 1556.849
## 471 1238.082
## 472 1409.182
## 473 1390.580
## 474 1328.093
## 475 1411.210
## 476 1239.315
## 477 1317.253
## 478 1247.881
## 479 1421.556
## 480 1346.369
## 481 1406.346
## 482 1284.583
## 483 1459.099
## 484 1279.725
## 485 1490.236
## 486 1367.147
## 487 1424.032
## 488 1539.164
## 489 1266.054
## 490 1417.569
## 491 1307.842
## 492 1426.213
## 493 1317.511
## 494 1503.294
## 495 1436.498
## 496 1397.009
## 497 1342.549
## 498 1316.373
## 499 1490.813
## 500 1348.348
## 501 1481.837
## 502 1566.066
## 503 1442.750
## 504 1550.043
## 505 1413.009
## 506 1359.389
## 507 1402.563
## 508 1475.672
## 509 1359.293
## 510 1374.537
## 511 1474.550
## 512 1269.812
## 513 1267.825
## 514 1404.361
## 515 1351.752
## 516 1439.589
## 517 1345.180
## 518 1351.585
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## 520 1433.729
## 521 1441.900
## 522 1360.455
## 523 1414.609
## 524 1440.886
## 525 1440.816
## 526 1524.132
## 527 1536.861
## 528 1281.766
## 529 1383.995
## 530 1372.537
## 531 1529.435
## 532 1384.042
## 533 1385.892
## 534 1191.625
## 535 1337.366
## 536 1492.552
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## 538 1519.543
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## 540 1207.028
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## 545 1322.842
## 546 1432.646
## 547 1341.866
## 548 1420.260
## 549 1306.616
## 550 1210.551
## 551 1387.179
## 552 1425.911
## 553 1380.056
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## 555 1467.085
## 556 1320.011
## 557 1408.950
## 558 1343.898
## 559 1311.907
## 560 1298.581
## 561 1317.944
## 562 1486.159
## 563 1476.608
## 564 1476.709
## 565 1508.021
## 566 1334.696
## 567 1420.234
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## 569 1386.447
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## 571 1256.827
## 572 1514.612
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## 574 1487.755
## 575 1347.174
## 576 1379.060
## 577 1398.093
## 578 1396.849
## 579 1248.056
## 580 1354.592
## 581 1454.135
## 582 1348.025
## 583 1323.967
## 584 1305.597
## 585 1403.629
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## 587 1346.094
## 588 1348.589
## 589 1455.327
## 590 1265.078
## 591 1271.901
## 592 1456.788
## 593 1441.953
## 594 1518.494
## 595 1403.916
## 596 1402.145
## 597 1345.894
## 598 1224.879
## 599 1270.078
## 600 1524.256
## 601 1462.154
## 602 1558.038
## 603 1308.779
## 604 1386.848
## 605 1281.681
## 606 1338.703
## 607 1280.296
## 608 1400.679
## 609 1493.209
## 610 1264.858
## 611 1320.891
## 612 1209.234
## 613 1477.533
## 614 1173.667
## 615 1325.624
## 616 1554.613
## 617 1275.557
## 618 1510.063
## 619 1253.191
## 620 1270.912
## 621 1229.451
## 622 1247.672
## 623 1415.093
## 624 1368.970
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## 626 1458.151
## 627 1446.325
## 628 1333.064
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## 633 1391.603
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## 636 1479.770
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## 638 1408.460
## 639 1400.334
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## 648 1455.160
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## 651 1371.668
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## 654 1283.881
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## 663 1379.861
## 664 1231.254
## 665 1414.335
## 666 1563.215
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## 668 1525.214
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## 670 1540.702
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## 673 1386.050
## 674 1379.688
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## 679 1264.269
## 680 1368.952
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## 683 1359.545
## 684 1362.991
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## 686 1340.007
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## 688 1257.413
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## 692 1217.982
## 693 1331.785
## 694 1363.791
## 695 1312.003
## 696 1406.042
## 697 1389.317
## 698 1583.380
## 699 1340.122
## 700 1336.116
## 701 1202.305
## 702 1412.857
## 703 1291.187
## 704 1448.202
## 705 1361.520
## 706 1541.111
## 707 1567.182
## 708 1464.417
## 709 1395.941
## 710 1351.881
## 711 1460.815
## 712 1301.274
## 713 1402.800
## 714 1368.217
## 715 1294.240
## 716 1298.327
## 717 1279.022
## 718 1428.250
## 719 1349.542
## 720 1405.446
## 721 1286.385
## 722 1327.666
## 723 1212.608
## 724 1417.950
## 725 1382.258
## 726 1258.125
## 727 1437.281
## 728 1384.055
## 729 1391.771
## 730 1391.290
## 731 1448.822
## 732 1464.047
## 733 1375.010
## 734 1423.727
## 735 1395.870
## 736 1158.584
## 737 1481.070
## 738 1431.643
## 739 1364.108
## 740 1327.975
## 741 1397.289
## 742 1407.541
## 743 1455.263
## 744 1328.487
## 745 1440.355
## 746 1343.584
## 747 1185.943
## 748 1261.770
## 749 1244.724
## 750 1339.781
## 751 1378.742
## 752 1436.748
## 753 1273.364
## 754 1259.798
## 755 1323.951
## 756 1378.786
## 757 1443.927
## 758 1417.845
## 759 1284.167
## 760 1390.153
## 761 1310.775
## 762 1322.239
## 763 1428.058
## 764 1298.845
## 765 1289.389
## 766 1378.789
## 767 1543.297
## 768 1386.433
## 769 1422.136
## 770 1336.623
## 771 1372.440
## 772 1305.836
## 773 1404.142
## 774 1265.462
## 775 1351.047
## 776 1292.878
## 777 1300.800
## 778 1261.940
## 779 1339.711
## 780 1451.350
## 781 1211.220
## 782 1308.660
## 783 1258.625
## 784 1402.385
## 785 1461.794
## 786 1406.959
## 787 1306.080
## 788 1316.923
## 789 1349.684
## 790 1399.918
## 791 1386.503
## 792 1412.127
## 793 1310.904
## 794 1181.210
## 795 1420.271
## 796 1387.334
## 797 1580.301
## 798 1395.157
## 799 1468.147
## 800 1365.973
## 801 1154.020
## 802 1296.892
## 803 1415.125
## 804 1435.937
## 805 1430.583
## 806 1428.365
## 807 1253.473
## 808 1380.096
## 809 1373.321
## 810 1420.994
## 811 1190.377
## 812 1170.450
## 813 1420.047
## 814 1352.661
## 815 1303.180
## 816 1355.726
## 817 1342.601
## 818 1305.132
## 819 1406.468
## 820 1312.511
## 821 1455.802
## 822 1277.395
## 823 1335.362
## 824 1194.976
## 825 1247.133
## 826 1357.988
## 827 1271.304
## 828 1539.868
## 829 1406.617
## 830 1323.632
## 831 1342.278
## 832 1228.917
## 833 1359.558
## 834 1587.017
## 835 1302.401
## 836 1254.675
## 837 1366.107
## 838 1616.183
## 839 1551.991
## 840 1482.218
## 841 1097.102
## 842 1397.040
## 843 1356.841
## 844 1360.531
## 845 1436.962
## 846 1272.822
## 847 1241.650
## 848 1314.933
## 849 1471.141
## 850 1236.603
## 851 1499.175
## 852 1359.539
## 853 1341.820
## 854 1161.913
## 855 1309.769
## 856 1436.368
## 857 1359.825
## 858 1481.123
## 859 1438.646
## 860 1361.380
## 861 1545.499
## 862 1423.536
## 863 1260.519
## 864 1359.969
## 865 1403.464
## 866 1180.237
## 867 1228.281
## 868 1328.562
## 869 1344.538
## 870 1428.964
## 871 1338.044
## 872 1318.701
## 873 1324.251
## 874 1331.465
## 875 1346.895
## 876 1344.954
## 877 1404.114
## 878 1306.567
## 879 1416.228
## 880 1496.982
## 881 1429.079
## 882 1363.060
## 883 1362.000
## 884 1288.417
## 885 1328.231
## 886 1448.189
## 887 1405.108
## 888 1359.315
## 889 1464.478
## 890 1270.992
## 891 1365.454
## 892 1437.013
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## 894 1390.262
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## 896 1402.576
## 897 1542.871
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## 899 1571.960
## 900 1381.331
## 901 1456.284
## 902 1406.608
## 903 1346.342
## 904 1317.039
## 905 1375.015
## 906 1318.357
## 907 1279.784
## 908 1297.465
## 909 1199.132
## 910 1280.544
## 911 1359.195
## 912 1348.149
## 913 1475.190
## 914 1366.419
## 915 1378.352
## 916 1365.703
## 917 1378.268
## 918 1252.981
## 919 1465.575
## 920 1449.773
## 921 1464.576
## 922 1383.333
## 923 1230.801
## 924 1307.059
## 925 1418.261
## 926 1292.571
## 927 1273.669
## 928 1367.424
## 929 1395.590
## 930 1513.293
## 931 1411.981
## 932 1316.079
## 933 1386.207
## 934 1422.824
## 935 1408.782
## 936 1395.787
## 937 1516.397
## 938 1331.037
## 939 1435.464
## 940 1414.115
## 941 1470.117
## 942 1252.034
## 943 1433.352
## 944 1315.824
## 945 1313.852
## 946 1412.170
## 947 1452.936
## 948 1389.863
## 949 1401.798
## 950 1447.075
## 951 1389.925
## 952 1409.466
## 953 1380.372
## 954 1249.139
## 955 1282.610
## 956 1298.224
## 957 1326.424
## 958 1293.915
## 959 1348.637
## 960 1280.907
## 961 1369.094
## 962 1263.790
## 963 1328.591
## 964 1397.147
## 965 1160.611
## 966 1380.727
## 967 1364.353
## 968 1535.010
## 969 1394.348
## 970 1388.279
## 971 1294.648
## 972 1368.339
## 973 1440.310
## 974 1458.711
## 975 1348.863
## 976 1385.805
## 977 1478.086
## 978 1523.831
## 979 1486.823
## 980 1535.513
## 981 1152.441
## 982 1434.973
## 983 1320.209
## 984 1472.053
## 985 1432.971
## 986 1243.405
## 987 1323.698
## 988 1453.042
## 989 1389.446
## 990 1365.268
## 991 1307.037
## 992 1363.574
## 993 1384.721
## 994 1390.462
## 995 1270.444
## 996 1350.150
## 997 1271.481
## 998 1408.775
## 999 1185.105
## 1000 1396.254g6 <- ggplot(df_fin_cobweb, aes(x = Cijena)) +
geom_histogram(bins = 40, fill = "#2C6E49", colour = "white") +
geom_vline(xintercept = median(fin_cobweb), colour = "darkgreen",
linewidth = 1.0, linetype = "solid") +
geom_vline(xintercept = quantile(fin_cobweb, 0.05), colour = "red",
linewidth = 0.8, linetype = "dashed") +
geom_vline(xintercept = quantile(fin_cobweb, 0.95), colour = "red",
linewidth = 0.8, linetype = "dashed") +
scale_x_continuous(labels = dollar_format(prefix = "$")) +
labs(title = "Distribucija finalnih cijena za 30 godina – Cobweb model",
subtitle = paste0("Medijan = $", round(median(fin_cobweb), 0),
" | 5% = $", round(quantile(fin_cobweb, 0.05), 0),
" | 95% = $", round(quantile(fin_cobweb, 0.95), 0)),
x = "Finalna cijena za 30 godina (USD/troy oz)",
y = "Broj scenarija") +
theme_minimal(base_size = 11) +
theme(plot.title = element_text(face = "bold", size = 13))
g6
Graf prikazuje distribuciju finalnih cijena Cobweb modela nakon 30 godina simulacije. GBM model nije prikazan u ovom obliku jer njegov raspon od $20.000 do $300.000 čini Cobweb distribuciju praktički nevidljivom na istoj skali. Zelena linija označava medijan od $1.372/oz - oko te vrijednosti grupira se najveći broj od 1.000 simuliranih scenarija. Većina scenarija završava između $1.100 i $1.500, što potvrđuje da Cobweb mehanizam povrata prema ravnoteži drži cijenu u relativno uskom rasponu bez obzira na slučajne šokove. Crvene isprekidane linije označavaju 5. i 95. percentil — samo 10% scenarija završava izvan tog raspona, što ukazuje na visoku pouzdanost Cobweb projekcije u dugoročnom horizontu.
## Cijena
## 1 93521.414
## 2 122283.757
## 3 18851.997
## 4 30604.027
## 5 136798.414
## 6 252657.015
## 7 204575.620
## 8 154498.811
## 9 53488.213
## 10 73427.279
## 11 22103.715
## 12 30477.012
## 13 145270.024
## 14 11140.545
## 15 199332.200
## 16 24839.514
## 17 24298.474
## 18 191674.005
## 19 101869.870
## 20 35227.639
## 21 122254.334
## 22 59653.363
## 23 203455.898
## 24 18417.739
## 25 206041.242
## 26 57007.374
## 27 134522.293
## 28 34144.626
## 29 68205.314
## 30 99050.858
## 31 683913.616
## 32 20700.942
## 33 208022.381
## 34 271552.501
## 35 84601.564
## 36 54828.460
## 37 89567.333
## 38 26440.629
## 39 221615.070
## 40 62521.645
## 41 118000.974
## 42 9596.943
## 43 136325.256
## 44 66850.825
## 45 81649.246
## 46 111087.017
## 47 125260.615
## 48 46964.905
## 49 69177.502
## 50 203320.917
## 51 68451.566
## 52 36877.652
## 53 83914.642
## 54 133772.654
## 55 99803.485
## 56 51783.349
## 57 93245.706
## 58 67640.175
## 59 44189.983
## 60 20999.661
## 61 32456.767
## 62 25370.895
## 63 43415.622
## 64 159135.334
## 65 24062.123
## 66 34744.472
## 67 152646.041
## 68 58194.167
## 69 147843.093
## 70 62821.010
## 71 38638.260
## 72 15420.659
## 73 112115.670
## 74 80040.582
## 75 88156.132
## 76 73308.779
## 77 479216.899
## 78 133744.940
## 79 159448.068
## 80 72129.499
## 81 145630.199
## 82 69306.370
## 83 59680.892
## 84 43598.789
## 85 115452.217
## 86 225654.361
## 87 233104.877
## 88 298737.925
## 89 44231.135
## 90 4687.796
## 91 129228.336
## 92 379344.045
## 93 43539.497
## 94 62105.902
## 95 13937.965
## 96 37332.875
## 97 746550.180
## 98 206757.931
## 99 30659.208
## 100 112979.364
## 101 198389.168
## 102 44660.953
## 103 53192.452
## 104 58513.559
## 105 48767.627
## 106 74202.334
## 107 49633.180
## 108 100755.144
## 109 123156.312
## 110 46083.719
## 111 374266.877
## 112 58145.263
## 113 165173.150
## 114 50154.987
## 115 92253.973
## 116 276499.269
## 117 49884.442
## 118 172418.989
## 119 54163.168
## 120 107980.938
## 121 77459.417
## 122 309912.261
## 123 40803.250
## 124 8682.322
## 125 82555.350
## 126 189350.609
## 127 196504.196
## 128 66798.334
## 129 112315.195
## 130 40383.888
## 131 345718.350
## 132 83274.416
## 133 67426.841
## 134 66343.030
## 135 41026.713
## 136 87587.456
## 137 977843.104
## 138 112203.774
## 139 37256.150
## 140 228946.959
## 141 25201.069
## 142 242338.961
## 143 35841.507
## 144 144189.852
## 145 70296.822
## 146 98543.068
## 147 81297.614
## 148 68017.663
## 149 90457.590
## 150 184856.688
## 151 31096.070
## 152 43222.165
## 153 47311.366
## 154 85205.799
## 155 134531.909
## 156 52838.818
## 157 58457.397
## 158 307462.722
## 159 81857.860
## 160 117212.681
## 161 28279.295
## 162 200838.308
## 163 107621.908
## 164 67570.383
## 165 83675.878
## 166 77247.540
## 167 46385.411
## 168 272862.342
## 169 42240.697
## 170 132839.477
## 171 92286.333
## 172 117525.316
## 173 121895.789
## 174 34545.831
## 175 82401.512
## 176 171309.495
## 177 36012.954
## 178 71907.909
## 179 42976.748
## 180 132824.097
## 181 219012.617
## 182 46121.200
## 183 70549.874
## 184 207095.540
## 185 153486.012
## 186 34153.893
## 187 157455.820
## 188 122941.193
## 189 79692.306
## 190 44746.663
## 191 57685.700
## 192 49040.643
## 193 84359.993
## 194 171766.393
## 195 79181.222
## 196 24670.568
## 197 35160.271
## 198 129588.839
## 199 454565.619
## 200 58211.150
## 201 48639.158
## 202 263365.563
## 203 65964.172
## 204 63652.931
## 205 15670.766
## 206 141426.910
## 207 29989.450
## 208 88830.183
## 209 59436.576
## 210 33916.780
## 211 38212.901
## 212 18852.735
## 213 24000.020
## 214 543474.423
## 215 26756.818
## 216 30377.251
## 217 92199.305
## 218 41886.374
## 219 194043.467
## 220 50639.094
## 221 24089.575
## 222 50025.758
## 223 148232.111
## 224 42306.102
## 225 75407.529
## 226 495014.526
## 227 74368.938
## 228 36721.166
## 229 124966.492
## 230 105679.495
## 231 34408.337
## 232 65422.127
## 233 376395.992
## 234 57453.135
## 235 109103.431
## 236 47789.568
## 237 40598.574
## 238 723667.072
## 239 71419.699
## 240 192916.801
## 241 51815.936
## 242 196649.567
## 243 37440.924
## 244 70624.317
## 245 126844.296
## 246 531229.694
## 247 31510.041
## 248 171001.739
## 249 127656.649
## 250 26003.222
## 251 96963.887
## 252 26117.348
## 253 21404.993
## 254 24392.783
## 255 132670.545
## 256 47556.680
## 257 53536.736
## 258 200839.232
## 259 162921.818
## 260 73092.343
## 261 116703.217
## 262 97141.681
## 263 229260.082
## 264 150054.132
## 265 122757.815
## 266 115353.493
## 267 131850.777
## 268 36480.556
## 269 50637.815
## 270 50676.086
## 271 107750.732
## 272 60872.592
## 273 156676.299
## 274 241020.372
## 275 159759.763
## 276 176051.278
## 277 18458.849
## 278 23876.093
## 279 46677.091
## 280 32787.270
## 281 25432.405
## 282 47288.490
## 283 53825.739
## 284 100445.600
## 285 74598.710
## 286 33495.845
## 287 182809.630
## 288 240959.164
## 289 98188.214
## 290 61134.055
## 291 268526.060
## 292 43872.363
## 293 514470.110
## 294 52644.238
## 295 45124.936
## 296 220825.324
## 297 86707.423
## 298 67858.421
## 299 265808.377
## 300 116483.043
## 301 125841.561
## 302 171018.064
## 303 23255.202
## 304 151140.651
## 305 40032.064
## 306 32349.673
## 307 140155.670
## 308 290734.426
## 309 49320.781
## 310 203075.574
## 311 60264.851
## 312 60535.078
## 313 35726.902
## 314 142819.743
## 315 80946.837
## 316 12178.241
## 317 34199.839
## 318 33087.050
## 319 121018.527
## 320 320578.214
## 321 493831.524
## 322 133044.805
## 323 82539.917
## 324 98059.707
## 325 57758.407
## 326 24959.538
## 327 35669.121
## 328 40359.883
## 329 134071.908
## 330 99179.226
## 331 31436.909
## 332 325887.107
## 333 79263.749
## 334 45308.945
## 335 71697.579
## 336 353309.053
## 337 54824.797
## 338 114627.041
## 339 52740.708
## 340 41829.311
## 341 250299.761
## 342 55957.933
## 343 306312.181
## 344 76300.473
## 345 42549.403
## 346 71882.965
## 347 117956.047
## 348 239549.946
## 349 78971.460
## 350 304509.055
## 351 179756.814
## 352 31725.387
## 353 104386.511
## 354 53745.718
## 355 221684.145
## 356 39620.889
## 357 73644.835
## 358 30335.062
## 359 89651.520
## 360 67630.203
## 361 70005.805
## 362 172977.639
## 363 147777.044
## 364 167173.877
## 365 49549.471
## 366 17845.835
## 367 22634.805
## 368 77565.870
## 369 25476.030
## 370 29435.785
## 371 100869.814
## 372 41530.994
## 373 79523.581
## 374 175886.459
## 375 69448.247
## 376 305535.419
## 377 127262.156
## 378 113181.800
## 379 122631.451
## 380 377381.108
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## 1000 35265.025g7 <- ggplot(df_fin_gbm, aes(x = Cijena)) +
geom_histogram(bins = 40, fill = "#C8A951", colour = "white") +
geom_vline(xintercept = median(fin_gbm), colour = "#8B6914",
linewidth = 1.0, linetype = "solid") +
geom_vline(xintercept = quantile(fin_gbm, 0.05), colour = "red",
linewidth = 0.8, linetype = "dashed") +
geom_vline(xintercept = quantile(fin_gbm, 0.95), colour = "red",
linewidth = 0.8, linetype = "dashed") +
scale_x_continuous(labels = dollar_format(prefix = "$")) +
labs(title = "Distribucija finalnih cijena za 30 godina – GBM model",
subtitle = paste0("Medijan = $", round(median(fin_gbm), 0),
" | 5% = $", round(quantile(fin_gbm, 0.05), 0),
" | 95% = $", round(quantile(fin_gbm, 0.95), 0)),
x = "Finalna cijena za 30 godina (USD/troy oz)",
y = "Broj scenarija") +
theme_minimal(base_size = 11) +
theme(plot.title = element_text(face = "bold", size = 13))
g7
Graf prikazuje distribuciju finalnih cijena GBM modela nakon simulacije za 30 godina. Za razliku od Cobweb distribucije koja ima oblik zvonaste krivulje, GBM distribucija je izrazito asimetrična - većina scenarija grupira se u nižem rasponu, dok dugački desni rep reflektira manji broj ekstremnih scenarija koji eksponencijalnim rastom dosežu i preko $2.000.000/oz. Medijalna vrijednost od $76.347/oz predstavlja najvjerojatnije dugoročni ishod prema GBM modelu. Središnjih 90% scenarija završava između $20.894 i $306.370/oz - scenariji izvan tog raspona smatraju se statističkim outlierima. Široki raspon potvrđuje da GBM bez ekonomskih ograničenja generira visoku dugoročnu neizvjesnost, što ga čini nepouzdanim za konkretne dugoročne projekcije.
9.7 Analiza osjetljivosti
g8 <- ggplot(df_lag_all, aes(x = Datum, y = Cijena, colour = Lag)) +
geom_line(linewidth = 0.7, alpha = 0.85) +
geom_hline(yintercept = ravnotezna_cijena, linetype = "dashed",
colour = "grey40", linewidth = 0.6) +
scale_y_continuous(labels = dollar_format(prefix = "$")) +
scale_x_date(date_breaks = "5 years", date_labels = "%Y") +
scale_colour_brewer(palette = "Set1") +
labs(title = "Analiza osjetljivosti: utjecaj vremenskog kašnjenja ponude",
subtitle = "Veće kašnjenje → dulje i dublje oscilacije cijene",
x = "Godina", y = "Cijena (USD/troy oz)", colour = "Kašnjenje") +
theme_minimal(base_size = 11) +
theme(plot.title = element_text(face = "bold", size = 13),
axis.text.x = element_text(angle = 45, hjust = 1),
legend.position = "bottom")
g8
Graf prikazuje deterministički Cobweb model pri pet različitih vrijednosti vremenskog kašnjenja ponude — od 1 do 24 mjeseca. Rezultati jasno pokazuju da veće kašnjenje uzrokuje dublje i dulje oscilacije cijene prije nego što sustav konvergira prema ravnoteži. Linija s kašnjenjem od 1 mjeseca stabilizira se najbrže - već oko 2030. godine - dok linija s kašnjenjem od 24 mjeseca oscilira sve do 2040-ih. Ovo je ekonomski smisleno: kada rudnici trebaju duže da reagiraju na cjenovne signale, tržište dulje “promašuje” ravnotežu u oba smjera - precijenjivanjem i podcijenjivanjem potrebnih kapaciteta. Analiza osjetljivosti potvrđuje da je vremensko kašnjenje ponude ključni parametar koji određuje dinamiku cijene zlata, što ima praktične implikacije za planiranje rudničkih investicija i upravljanje zalihama.
9.8 Cobweb dijagram
g9 <- ggplot() +
geom_line(data = df_cob_lines, aes(x = Qd, y = P, colour = "Potražnja"),
linewidth = 1.2) +
geom_line(data = df_cob_lines, aes(x = Qs, y = P, colour = "Ponuda"),
linewidth = 1.2) +
geom_path(data = df_cob_tocke, aes(x = Q, y = P),
colour = "grey30", linewidth = 0.6, alpha = 0.7) +
geom_point(data = data.frame(
Q = slobodni_koef_potraznje - nagib_potraznje *
(ravnotezna_cijena / skaliranje_cijene),
P = ravnotezna_cijena),
aes(x = Q, y = P), colour = "red", size = 4, shape = 18) +
scale_y_continuous(labels = dollar_format(prefix = "$"),
limits = c(0, 5000)) +
scale_x_continuous(limits = c(-1, 3)) +
scale_colour_manual(values = c("Potražnja" = "#1B4F8A", "Ponuda" = "#2C6E49")) +
labs(title = "Cobweb dijagram – konvergencija u P-Q prostoru",
subtitle = paste0("P* = $", round(ravnotezna_cijena, 0), "/oz"),
x = "Količina (rel. jedinice)", y = "Cijena (USD/troy oz)", colour = "") +
theme_minimal(base_size = 11) +
theme(plot.title = element_text(face = "bold", size = 13),
legend.position = "bottom")
g9
Graf prikazuje Cobweb model u prostoru cijene i količine. Plava linija je krivulja potražnje - pada s lijeva na desno jer viša cijena znači manju potražnju. Zelena linija je krivulja ponude - raste s lijeva na desno jer viša cijena stimulira veću produkciju. Crvena točka na sjecištu krivulja označava ravnotežnu cijenu P = $1.362/oz - točku u kojoj su ponuda i potražnja izjednačene. Trenutna tržišna cijena od $3.623/oz nalazi se znatno iznad ravnotežne točke, što prema Cobweb modelu znači da je tržište u fazi precijenjnosti i da ekonomski mehanizmi dugoročno vuku cijenu prema dolje.
10 Sažetak rezultata
## Simulacijsko razdoblje: 30 godina (360 mj.)## Broj MC scenarija: 1000## Startna cijena: $ 3623.14 / oz## --- MODEL 1: COBWEB ---## Ravnotezna cijena (P*): $ 1361.79 / oz## Deterministicka zavrsna: $ 1361.79 / oz## MC medijan za 30 god.: $ 1372.49 / oz## MC 5. percentil: $ 1217.33 / oz## MC 95. percentil: $ 1524.58 / oz## --- MODEL 2: GBM ---## Deterministicka zavrsna: $ 74656.46 / oz## MC medijan za 30 god.: $ 76347.45 / oz## MC 5. percentil: $ 20893.93 / oz## MC 95. percentil: $ 306369.7 / oz11 Generiranje slika
dir.create("grafovi", showWarnings = FALSE)
grafovi <- list(
list(g = g1, ime = "01_povijesna_cijena.png"),
list(g = g2, ime = "02_usporedba_deterministicka.png"),
list(g = g3, ime = "03_montecarlo_cobweb.png"),
list(g = g4, ime = "04_montecarlo_gbm.png"),
list(g = g5, ime = "05_usporedba_medijani.png"),
list(g = g6, ime = "06_histogram_cobweb.png"),
list(g = g7, ime = "06b_histogram_gbm.png"),
list(g = g8, ime = "07_osjetljivost_lag.png"),
list(g = g9, ime = "08_cobweb_dijagram.png")
)
for (item in grafovi) {
ggsave(paste0("grafovi/", item$ime),
plot = item$g,
width = 10, height = 6, dpi = 300, units = "in")
}