Stoxx

Stoxx ATM Vol (182)

##            X30.Days X91.Days X182.Days X365.Days X547.Days X730.Days
## 2016-12-06  15.9400  17.4971   18.5610   19.3534   19.5231   19.7141
## 2016-12-07  15.1240  16.9986   18.2121   19.1448   19.4286   19.6900
## 2016-12-08  14.2071  16.6971   18.0745   19.0885   19.4277   19.7473
## 2016-12-09  14.6891  17.0550   18.3500   19.3130   19.6591   19.9416
## 2016-12-12  15.0674  17.2157   18.3816   19.3288   19.7039   20.0338
## 2016-12-13  15.4786  17.0143   18.2024   19.3105   19.7947   20.2310
## 2016-12-14  15.9220  17.4721   18.4493   19.4754   20.0469   20.3485
## 2016-12-15  14.9647  17.3702   18.2445   19.2222   19.7404   20.1607
## 2016-12-16  14.3700  16.7700   17.8700   19.0937   19.6522   20.0589
## 2016-12-19  14.1497  16.5910   17.8850   19.0957   19.6231   20.0444
## 2016-12-20  13.6400  16.2320   17.6156   18.9976   19.5214   19.9377
## 2016-12-21  13.4300  16.3142   17.6345   18.9543   19.5546   20.0000
## 2016-12-22  13.3996  16.4223   17.7781   19.0661   19.6159   20.0310
## 2016-12-23  13.6500  16.6954   17.8938   19.1060   19.5874   19.9822
## 2016-12-26  13.8600  16.7363   17.9169   19.1158   19.5939   19.9855
## 2016-12-27  14.8443  17.1442   18.2010   19.3627   19.7667   20.1648
## 2016-12-28  15.1750  17.2232   18.1870   19.4054   19.8027   20.1165
## 2016-12-29  15.8886  17.6357   18.4743   19.5047   19.9652   20.2853
## 2016-12-30  16.0361  17.6331   18.4038   19.4376   19.9002   20.2557
## 2017-01-02  15.9086  17.4481   18.2940   19.3114   19.7971   20.1605
## [1] "SX5E ATM Vols"

Stoxx ATM Vol (365)

##            X30.Days X91.Days X182.Days X365.Days X547.Days X730.Days
## 2016-12-06  15.9400  17.4971   18.5610   19.3534   19.5231   19.7141
## 2016-12-07  15.1240  16.9986   18.2121   19.1448   19.4286   19.6900
## 2016-12-08  14.2071  16.6971   18.0745   19.0885   19.4277   19.7473
## 2016-12-09  14.6891  17.0550   18.3500   19.3130   19.6591   19.9416
## 2016-12-12  15.0674  17.2157   18.3816   19.3288   19.7039   20.0338
## 2016-12-13  15.4786  17.0143   18.2024   19.3105   19.7947   20.2310
## 2016-12-14  15.9220  17.4721   18.4493   19.4754   20.0469   20.3485
## 2016-12-15  14.9647  17.3702   18.2445   19.2222   19.7404   20.1607
## 2016-12-16  14.3700  16.7700   17.8700   19.0937   19.6522   20.0589
## 2016-12-19  14.1497  16.5910   17.8850   19.0957   19.6231   20.0444
## 2016-12-20  13.6400  16.2320   17.6156   18.9976   19.5214   19.9377
## 2016-12-21  13.4300  16.3142   17.6345   18.9543   19.5546   20.0000
## 2016-12-22  13.3996  16.4223   17.7781   19.0661   19.6159   20.0310
## 2016-12-23  13.6500  16.6954   17.8938   19.1060   19.5874   19.9822
## 2016-12-26  13.8600  16.7363   17.9169   19.1158   19.5939   19.9855
## 2016-12-27  14.8443  17.1442   18.2010   19.3627   19.7667   20.1648
## 2016-12-28  15.1750  17.2232   18.1870   19.4054   19.8027   20.1165
## 2016-12-29  15.8886  17.6357   18.4743   19.5047   19.9652   20.2853
## 2016-12-30  16.0361  17.6331   18.4038   19.4376   19.9002   20.2557
## 2017-01-02  15.9086  17.4481   18.2940   19.3114   19.7971   20.1605
## [1] "SX5E ATM Vols"

Stoxx ATM Vol vs. Price (182)

##                  S X30.Days X91.Days X182.Days X365.Days X547.Days
## 2016-12-07 3142.24  15.1240  16.9986   18.2121   19.1448   19.4286
## 2016-12-08 3185.79  14.2071  16.6971   18.0745   19.0885   19.4277
## 2016-12-09 3197.54  14.6891  17.0550   18.3500   19.3130   19.6591
## 2016-12-12 3199.11  15.0674  17.2157   18.3816   19.3288   19.7039
## 2016-12-13 3236.71  15.4786  17.0143   18.2024   19.3105   19.7947
## 2016-12-14 3211.71  15.9220  17.4721   18.4493   19.4754   20.0469
## 2016-12-15 3249.74  14.9647  17.3702   18.2445   19.2222   19.7404
## 2016-12-16 3259.24  14.3700  16.7700   17.8700   19.0937   19.6522
## 2016-12-19 3254.25  14.1497  16.5910   17.8850   19.0957   19.6231
## 2016-12-20 3279.41  13.6400  16.2320   17.6156   18.9976   19.5214
## 2016-12-21 3270.75  13.4300  16.3142   17.6345   18.9543   19.5546
## 2016-12-22 3269.51  13.3996  16.4223   17.7781   19.0661   19.6159
## 2016-12-23 3273.97  13.6500  16.6954   17.8938   19.1060   19.5874
## 2016-12-26 3273.97  13.8600  16.7363   17.9169   19.1158   19.5939
## 2016-12-27 3278.53  14.8443  17.1442   18.2010   19.3627   19.7667
## 2016-12-28 3278.72  15.1750  17.2232   18.1870   19.4054   19.8027
## 2016-12-29 3271.76  15.8886  17.6357   18.4743   19.5047   19.9652
## 2016-12-30 3290.52  16.0361  17.6331   18.4038   19.4376   19.9002
## 2017-01-02 3308.67  15.9086  17.4481   18.2940   19.3114   19.7971
## 2017-01-03 3315.02  15.9086  17.4481   18.2940   19.3114   19.7971
##            X730.Days
## 2016-12-07   19.6900
## 2016-12-08   19.7473
## 2016-12-09   19.9416
## 2016-12-12   20.0338
## 2016-12-13   20.2310
## 2016-12-14   20.3485
## 2016-12-15   20.1607
## 2016-12-16   20.0589
## 2016-12-19   20.0444
## 2016-12-20   19.9377
## 2016-12-21   20.0000
## 2016-12-22   20.0310
## 2016-12-23   19.9822
## 2016-12-26   19.9855
## 2016-12-27   20.1648
## 2016-12-28   20.1165
## 2016-12-29   20.2853
## 2016-12-30   20.2557
## 2017-01-02   20.1605
## 2017-01-03   20.1605
## [1] "SX5E ATM Vols vs. Price"

Stoxx ATM Vol vs. Price (365)

##                  S X30.Days X91.Days X182.Days X365.Days X547.Days
## 2016-12-07 3142.24  15.1240  16.9986   18.2121   19.1448   19.4286
## 2016-12-08 3185.79  14.2071  16.6971   18.0745   19.0885   19.4277
## 2016-12-09 3197.54  14.6891  17.0550   18.3500   19.3130   19.6591
## 2016-12-12 3199.11  15.0674  17.2157   18.3816   19.3288   19.7039
## 2016-12-13 3236.71  15.4786  17.0143   18.2024   19.3105   19.7947
## 2016-12-14 3211.71  15.9220  17.4721   18.4493   19.4754   20.0469
## 2016-12-15 3249.74  14.9647  17.3702   18.2445   19.2222   19.7404
## 2016-12-16 3259.24  14.3700  16.7700   17.8700   19.0937   19.6522
## 2016-12-19 3254.25  14.1497  16.5910   17.8850   19.0957   19.6231
## 2016-12-20 3279.41  13.6400  16.2320   17.6156   18.9976   19.5214
## 2016-12-21 3270.75  13.4300  16.3142   17.6345   18.9543   19.5546
## 2016-12-22 3269.51  13.3996  16.4223   17.7781   19.0661   19.6159
## 2016-12-23 3273.97  13.6500  16.6954   17.8938   19.1060   19.5874
## 2016-12-26 3273.97  13.8600  16.7363   17.9169   19.1158   19.5939
## 2016-12-27 3278.53  14.8443  17.1442   18.2010   19.3627   19.7667
## 2016-12-28 3278.72  15.1750  17.2232   18.1870   19.4054   19.8027
## 2016-12-29 3271.76  15.8886  17.6357   18.4743   19.5047   19.9652
## 2016-12-30 3290.52  16.0361  17.6331   18.4038   19.4376   19.9002
## 2017-01-02 3308.67  15.9086  17.4481   18.2940   19.3114   19.7971
## 2017-01-03 3315.02  15.9086  17.4481   18.2940   19.3114   19.7971
##            X730.Days
## 2016-12-07   19.6900
## 2016-12-08   19.7473
## 2016-12-09   19.9416
## 2016-12-12   20.0338
## 2016-12-13   20.2310
## 2016-12-14   20.3485
## 2016-12-15   20.1607
## 2016-12-16   20.0589
## 2016-12-19   20.0444
## 2016-12-20   19.9377
## 2016-12-21   20.0000
## 2016-12-22   20.0310
## 2016-12-23   19.9822
## 2016-12-26   19.9855
## 2016-12-27   20.1648
## 2016-12-28   20.1165
## 2016-12-29   20.2853
## 2016-12-30   20.2557
## 2017-01-02   20.1605
## 2017-01-03   20.1605
## [1] "SX5E ATM Vols vs. Price"

VStoxx (365)

##               x1    x2    x3    x4    x5    x6
## 2016-12-06 18.12 17.56 19.14 20.53 23.65 25.14
## 2016-12-07 17.89 17.04 18.71 20.17 23.50 25.04
## 2016-12-08 15.05 16.27 18.13 19.58 23.29 25.06
## 2016-12-09 15.65 16.70 18.56 19.99 23.68 25.12
## 2016-12-12 17.42 16.92 18.76 20.24 23.80 25.42
## 2016-12-13 19.15 16.82 18.58 20.10 23.76 25.53
## 2016-12-14 21.93 17.05 18.93 20.36 23.92 25.73
## 2016-12-15 21.93 16.62 18.57 19.99 23.78 25.61
## 2016-12-16 21.93 16.01 18.32 19.75 23.52 25.41
## 2016-12-19 15.44 17.80 19.41 22.23 24.24 25.41
## 2016-12-20 15.01 17.35 18.99 21.93 24.11 25.53
## 2016-12-21 14.69 17.25 18.94 22.07 24.12 25.78
## 2016-12-22 14.64 17.29 19.05 22.22 24.35 25.78
## 2016-12-23 14.67 17.34 19.16 22.20 24.37 25.59
## 2016-12-27 15.83 18.05 19.73 22.55 24.76 25.85
## 2016-12-28 16.09 18.24 19.83 22.57 24.78 26.10
## 2016-12-29 16.79 18.75 20.27 22.92 25.04 26.15
## 2016-12-30 17.04 19.01 20.34 22.87 24.97 26.24
## 2017-01-02 16.69 18.56 19.98 22.64 24.79 26.26
## 2017-01-03 15.56 18.05 19.58 22.34 24.58 25.85
## [1] "Stoxx ATM Vols"

Stoxx K Vol

##            X2017.06.16...3500 X2016.12.16...3200 X2017.06.16...3700
## 2016-12-06            16.0057            17.1065            16.0217
## 2016-12-07            16.0435            15.6826            16.0350
## 2016-12-08            16.0514            13.7750            15.8562
## 2016-12-09            16.3276            13.9819            16.0286
## 2016-12-12            16.3139            14.8337            16.0647
## 2016-12-13            16.3598            19.0652            15.9592
## 2016-12-14            16.4736            19.3045            16.1646
## 2016-12-15            16.4758            23.0591            16.0586
## 2016-12-16            16.1901            15.3515            15.8189
## 2016-12-19            16.1240            15.0489            15.7514
## 2016-12-20            16.0259            15.1510            15.6257
## 2016-12-21            15.9348            14.7755            15.5400
## 2016-12-22            16.0130            14.7077            15.6000
## 2016-12-23            16.1220            14.9108            15.6399
## 2016-12-26            16.1220            14.9108            15.6399
## 2016-12-27            16.3937            16.2106            15.8914
## 2016-12-28            16.3846            16.5299            15.8986
## 2016-12-29            16.6136            17.0734            16.1353
## 2016-12-30            16.6278            17.5416            16.0704
## 2017-01-02            16.6004            17.8045            16.0210
##            X2017.06.16...3400
## 2016-12-06            16.2957
## 2016-12-07            16.3975
## 2016-12-08            16.5411
## 2016-12-09            16.8343
## 2016-12-12            16.8078
## 2016-12-13            16.8233
## 2016-12-14            16.9406
## 2016-12-15            16.9703
## 2016-12-16            16.6953
## 2016-12-19            16.6245
## 2016-12-20            16.5945
## 2016-12-21            16.4914
## 2016-12-22            16.5885
## 2016-12-23            16.7314
## 2016-12-26            16.7314
## 2016-12-27            17.0307
## 2016-12-28            17.0199
## 2016-12-29            17.2298
## 2016-12-30            17.3252
## 2017-01-02            17.3685
## [1] "SX5E  Vols"

Stoxx Skew (182)

##            X30.Days X91.Days X182.Days X365.Days X547.Days X730.Days
## 2016-12-06   7.1443   8.1043    6.4289    4.8985    3.5763    2.9392
## 2016-12-07   7.9260   7.6096    6.1673    4.7660    3.6688    2.9719
## 2016-12-08   7.4286   7.3757    6.0110    4.7192    3.6227    2.9933
## 2016-12-09   6.9677   7.2550    6.0546    4.7624    3.6086    2.9613
## 2016-12-12   7.5063   7.6500    6.1612    4.7358    3.6381    3.0105
## 2016-12-13   8.2289   7.5154    6.1388    4.8379    3.5937    2.9958
## 2016-12-14   8.8220   7.7071    6.0774    4.8646    3.7064    3.0644
## 2016-12-15   8.9839   7.3084    6.0211    4.8395    3.5942    2.9774
## 2016-12-16   5.3600   7.4000    5.9600    4.8618    3.6367    3.0267
## 2016-12-19   5.5645   7.4215    5.9540    4.8453    3.7282    3.0478
## 2016-12-20   6.1800   7.4948    5.8323    4.8870    3.6225    2.9835
## 2016-12-21   6.3100   7.5610    5.9943    4.8611    3.6684    3.0100
## 2016-12-22   6.4800   7.6265    6.1112    4.8821    3.6767    3.0671
## 2016-12-23   6.5221   7.6746    6.1108    4.8844    3.6929    3.0740
## 2016-12-26   6.6304   7.6209    6.0854    4.8598    3.6828    3.0649
## 2016-12-27   7.4221   7.8424    6.1657    4.8925    3.7230    3.0138
## 2016-12-28   7.6325   7.8760    6.1632    4.8808    3.6846    3.0513
## 2016-12-29   7.8529   8.0286    6.2171    4.8607    3.7467    3.0580
## 2016-12-30   7.6918   8.0123    6.1877    4.8405    3.7160    3.0628
## 2017-01-02   7.8614   7.9589    6.1393    4.8176    3.6400    3.0344
## [1] "SX5E Skews(90, 110)"

Stoxx Skew (365)

##            X30.Days X91.Days X182.Days X365.Days X547.Days X730.Days
## 2016-12-06   7.1443   8.1043    6.4289    4.8985    3.5763    2.9392
## 2016-12-07   7.9260   7.6096    6.1673    4.7660    3.6688    2.9719
## 2016-12-08   7.4286   7.3757    6.0110    4.7192    3.6227    2.9933
## 2016-12-09   6.9677   7.2550    6.0546    4.7624    3.6086    2.9613
## 2016-12-12   7.5063   7.6500    6.1612    4.7358    3.6381    3.0105
## 2016-12-13   8.2289   7.5154    6.1388    4.8379    3.5937    2.9958
## 2016-12-14   8.8220   7.7071    6.0774    4.8646    3.7064    3.0644
## 2016-12-15   8.9839   7.3084    6.0211    4.8395    3.5942    2.9774
## 2016-12-16   5.3600   7.4000    5.9600    4.8618    3.6367    3.0267
## 2016-12-19   5.5645   7.4215    5.9540    4.8453    3.7282    3.0478
## 2016-12-20   6.1800   7.4948    5.8323    4.8870    3.6225    2.9835
## 2016-12-21   6.3100   7.5610    5.9943    4.8611    3.6684    3.0100
## 2016-12-22   6.4800   7.6265    6.1112    4.8821    3.6767    3.0671
## 2016-12-23   6.5221   7.6746    6.1108    4.8844    3.6929    3.0740
## 2016-12-26   6.6304   7.6209    6.0854    4.8598    3.6828    3.0649
## 2016-12-27   7.4221   7.8424    6.1657    4.8925    3.7230    3.0138
## 2016-12-28   7.6325   7.8760    6.1632    4.8808    3.6846    3.0513
## 2016-12-29   7.8529   8.0286    6.2171    4.8607    3.7467    3.0580
## 2016-12-30   7.6918   8.0123    6.1877    4.8405    3.7160    3.0628
## 2017-01-02   7.8614   7.9589    6.1393    4.8176    3.6400    3.0344
## [1] "SX5E Skews(90, 110)"

Stoxx Skew vs. Price (182)

Stoxx Skew vs. Price (365)

Stoxx Skew (K)

##            X30.Days X91.Days X182.Days X365.Days
## 2016-12-06  15.7033   8.3185    6.4899    4.8839
## 2016-12-07  16.5328   8.2393    6.4701    4.8326
## 2016-12-08  18.1358   7.9883    6.3149    4.7522
## 2016-12-09  18.0857   7.9949    6.3325    4.7964
## 2016-12-12  20.3556   8.3428    6.4996    4.8024
## 2016-12-13  20.5801   8.5241    6.5524    4.8737
## 2016-12-14  19.2121   8.4829    6.4863    4.9180
## 2016-12-15  17.1020   8.3909    6.4703    4.9035
## 2016-12-16  11.9167   8.4587    6.5341    4.9175
## 2016-12-19  12.5398   8.5237    6.4615    4.8717
## 2016-12-20  13.3079   8.4205    6.4429    4.9035
## 2016-12-21  11.6089   8.4214    6.5120    4.9141
## 2016-12-22  12.6260   8.3871    6.5909    4.9392
## 2016-12-23  12.9271   8.1813    6.5170    4.9660
## 2016-12-26  12.4312   8.1245    6.4852    4.9471
## 2016-12-27  13.2423   8.4328    6.5616    4.9754
## 2016-12-28  13.3825   8.4549    6.5732    4.9213
## 2016-12-29  13.3197   8.5933    6.6233    5.0046
## 2016-12-30  12.6638   8.5064    6.5770    4.9992
## 2017-01-02  13.1672   8.2916    6.5819    4.9867
## [1] "SX5E Skews(2600, 3100)"

Stoxx Skew (Put)

##            X30.Days X91.Days X182.Days X365.Days X547.Days X730.Days
## 2016-12-06   8.8414   5.1286    3.9353    2.9396    2.2061    1.8110
## 2016-12-07   9.9600   5.0911    3.9218    2.9125    2.2681    1.8233
## 2016-12-08   9.5237   4.9800    3.8293    2.8969    2.2546    1.8296
## 2016-12-09   9.3257   4.9375    3.8362    2.9231    2.2618    1.8092
## 2016-12-12  10.5240   5.1943    3.9367    2.9129    2.2804    1.8510
## 2016-12-13  11.1300   5.2782    3.9738    2.9975    2.2680    1.8482
## 2016-12-14  12.3840   5.2579    3.9197    3.0040    2.3038    1.8763
## 2016-12-15  14.8947   5.1459    3.9102    3.0159    2.2668    1.8299
## 2016-12-16   6.1200   5.2800    3.9300    3.0150    2.2679    1.8903
## 2016-12-19   6.1515   5.3310    3.8937    3.0032    2.3231    1.8779
## 2016-12-20   6.8500   5.3914    3.8771    3.0345    2.2784    1.8523
## 2016-12-21   6.7100   5.3598    3.9509    3.0305    2.3054    1.8600
## 2016-12-22   6.9093   5.3751    3.9937    3.0356    2.3141    1.8982
## 2016-12-23   6.6407   5.2923    3.9592    3.0602    2.3310    1.8965
## 2016-12-26   6.5368   5.2462    3.9418    3.0453    2.3238    1.8912
## 2016-12-27   7.2857   5.4402    3.9935    3.0704    2.3476    1.8608
## 2016-12-28   7.1700   5.4603    4.0022    3.0354    2.3190    1.8892
## 2016-12-29   7.0686   5.4729    4.0257    3.0612    2.3537    1.8873
## 2016-12-30   6.9654   5.4877    4.0092    3.0656    2.3527    1.9039
## 2017-01-02   7.1729   5.4799    4.0179    3.0743    2.3252    1.8796
## [1] "SX5E Skews(90, 100)"

Stoxx Skew (Call)

##            X30.Days X91.Days X182.Days X365.Days X547.Days X730.Days
## 2016-12-06  -1.6971   2.9757    2.4936    1.9589    1.3702    1.1283
## 2016-12-07  -2.0340   2.5186    2.2455    1.8535    1.4007    1.1485
## 2016-12-08  -2.0951   2.3957    2.1816    1.8223    1.3681    1.1638
## 2016-12-09  -2.3580   2.3175    2.2185    1.8393    1.3468    1.1521
## 2016-12-12  -3.0177   2.4557    2.2245    1.8230    1.3577    1.1595
## 2016-12-13  -2.9011   2.2371    2.1649    1.8404    1.3257    1.1476
## 2016-12-14  -3.5620   2.4493    2.1577    1.8607    1.4025    1.1881
## 2016-12-15  -5.9107   2.1624    2.1109    1.8236    1.3275    1.1475
## 2016-12-16  -0.7600   2.1200    2.0300    1.8468    1.3687    1.1363
## 2016-12-19  -0.5870   2.0905    2.0603    1.8422    1.4051    1.1699
## 2016-12-20  -0.6700   2.1034    1.9552    1.8525    1.3442    1.1312
## 2016-12-21  -0.4000   2.2012    2.0434    1.8306    1.3630    1.1500
## 2016-12-22  -0.4293   2.2514    2.1175    1.8464    1.3626    1.1689
## 2016-12-23  -0.1186   2.3823    2.1515    1.8242    1.3620    1.1775
## 2016-12-26   0.0936   2.3747    2.1436    1.8145    1.3589    1.1737
## 2016-12-27   0.1364   2.4022    2.1722    1.8221    1.3754    1.1531
## 2016-12-28   0.4625   2.4157    2.1610    1.8454    1.3656    1.1621
## 2016-12-29   0.7843   2.5557    2.1914    1.7995    1.3930    1.1708
## 2016-12-30   0.7264   2.5246    2.1785    1.7749    1.3633    1.1589
## 2017-01-02   0.6886   2.4790    2.1214    1.7433    1.3148    1.1548
## [1] "SX5E Skews(100, 110)"

Stoxx Calendar (182)

##            X30...91 X91...182 X91...365 X91...547
## 2016-12-06  -1.5571   -1.0638   -1.8563   -2.0259
## 2016-12-07  -1.8746   -1.2135   -2.1463   -2.4300
## 2016-12-08  -2.4900   -1.3774   -2.3913   -2.7305
## 2016-12-09  -2.3659   -1.2950   -2.2580   -2.6041
## 2016-12-12  -2.1483   -1.1659   -2.1131   -2.4882
## 2016-12-13  -1.5357   -1.1881   -2.2963   -2.7804
## 2016-12-14  -1.5501   -0.9772   -2.0032   -2.5747
## 2016-12-15  -2.4055   -0.8743   -1.8521   -2.3703
## 2016-12-16  -2.4000   -1.1000   -2.3237   -2.8822
## 2016-12-19  -2.4413   -1.2940   -2.5048   -3.0321
## 2016-12-20  -2.5920   -1.3836   -2.7656   -3.2894
## 2016-12-21  -2.8842   -1.3203   -2.6402   -3.2404
## 2016-12-22  -3.0227   -1.3558   -2.6437   -3.1936
## 2016-12-23  -3.0454   -1.1985   -2.4107   -2.8920
## 2016-12-26  -2.8763   -1.1807   -2.3795   -2.8576
## 2016-12-27  -2.2999   -1.0568   -2.2185   -2.6225
## 2016-12-28  -2.0482   -0.9638   -2.1823   -2.5795
## 2016-12-29  -1.7471   -0.8386   -1.8690   -2.3295
## 2016-12-30  -1.5970   -0.7708   -1.8045   -2.2671
## 2017-01-02  -1.5396   -0.8458   -1.8633   -2.3490
## [1] "SX5E ATM Calendar"

Stoxx Calendar (365)

##            X30...91 X91...182 X91...365 X91...547
## 2016-12-06  -1.5571   -1.0638   -1.8563   -2.0259
## 2016-12-07  -1.8746   -1.2135   -2.1463   -2.4300
## 2016-12-08  -2.4900   -1.3774   -2.3913   -2.7305
## 2016-12-09  -2.3659   -1.2950   -2.2580   -2.6041
## 2016-12-12  -2.1483   -1.1659   -2.1131   -2.4882
## 2016-12-13  -1.5357   -1.1881   -2.2963   -2.7804
## 2016-12-14  -1.5501   -0.9772   -2.0032   -2.5747
## 2016-12-15  -2.4055   -0.8743   -1.8521   -2.3703
## 2016-12-16  -2.4000   -1.1000   -2.3237   -2.8822
## 2016-12-19  -2.4413   -1.2940   -2.5048   -3.0321
## 2016-12-20  -2.5920   -1.3836   -2.7656   -3.2894
## 2016-12-21  -2.8842   -1.3203   -2.6402   -3.2404
## 2016-12-22  -3.0227   -1.3558   -2.6437   -3.1936
## 2016-12-23  -3.0454   -1.1985   -2.4107   -2.8920
## 2016-12-26  -2.8763   -1.1807   -2.3795   -2.8576
## 2016-12-27  -2.2999   -1.0568   -2.2185   -2.6225
## 2016-12-28  -2.0482   -0.9638   -2.1823   -2.5795
## 2016-12-29  -1.7471   -0.8386   -1.8690   -2.3295
## 2016-12-30  -1.5970   -0.7708   -1.8045   -2.2671
## 2017-01-02  -1.5396   -0.8458   -1.8633   -2.3490
## [1] "SX5E ATM Calendar"

Stoxx Calendar K (182)

##            X30...91 X91...182 X91...365 X91...547
## 2016-12-06   0.4433   -0.2749   -0.4232   -0.1153
## 2016-12-07   1.7881   -0.3025   -0.4623   -0.2455
## 2016-12-08   1.4538   -0.3423   -0.5215   -0.2846
## 2016-12-09   1.6394   -0.2685   -0.3834   -0.1131
## 2016-12-12   2.7495    0.0125    0.0215    0.2371
## 2016-12-13   4.6830    0.1728    0.0789    0.3507
## 2016-12-14   5.3229    0.3222    0.1841    0.2927
## 2016-12-15   7.6584    0.4649    0.4484    0.7306
## 2016-12-16  -1.3412    0.3931    0.1748    0.4367
## 2016-12-19  -1.4023    0.2750    0.0342    0.2430
## 2016-12-20  -0.6833    0.3656   -0.0390    0.3016
## 2016-12-21  -1.3069    0.2769   -0.0055    0.2112
## 2016-12-22  -1.1667    0.1984   -0.0100    0.2509
## 2016-12-23  -1.3055    0.3169    0.1251    0.4731
## 2016-12-26  -1.2288    0.3025    0.1207    0.4633
## 2016-12-27  -0.0088    0.6120    0.5109    0.9345
## 2016-12-28   0.1028    0.7166    0.6073    1.0255
## 2016-12-29   0.2449    0.7997    0.8569    1.1983
## 2016-12-30   0.3017    0.9747    1.0487    1.4280
## 2017-01-02   0.7742    0.9417    1.0776    1.5059
## [1] "SX5E ATM Calendar"

KOSPI200

KOSPI200 ATM Vol

##            X30.Days X91.Days X182.Days X365.Days X547.Days X730.Days
## 2016-12-06  11.7140  12.0050   12.9214   14.5802   15.3591   15.7456
## 2016-12-07   9.2899  11.7125   12.8824   14.5523   15.3521   15.7377
## 2016-12-08   8.2200  11.0800   12.4600   14.3054   15.1568   15.5608
## 2016-12-09   9.0900  11.6337   12.8293   14.5238   15.2667   15.6235
## 2016-12-12   7.7000  11.5343   13.0067   14.6035   15.3250   15.6684
## 2016-12-13   7.7600  11.5986   12.7982   14.6020   15.2761   15.6000
## 2016-12-14   8.1304  11.6397   12.9324   14.6300   15.2779   15.5918
## 2016-12-15   8.2921  11.4160   12.8629   14.5847   15.2835   15.6235
## 2016-12-16   8.3854  11.4889   12.8441   14.6092   15.2817   15.6053
## 2016-12-19   9.2643  11.7109   13.0357   14.7417   15.3676   15.6797
## 2016-12-20   9.3400  11.6917   12.9969   14.7881   15.4602   15.7867
## 2016-12-21   9.4671  11.7809   13.0224   14.7667   15.3200   15.5965
## 2016-12-22   9.2771  11.8440   13.0357   14.8596   15.5647   15.9038
## 2016-12-23   9.5416  11.9746   13.2881   14.9140   15.5639   15.8993
## 2016-12-26   9.3393  11.9454   13.1878   14.8963   15.5528   15.8804
## 2016-12-27   9.3000  11.8426   13.0901   14.8246   15.5156   15.8523
## 2016-12-28  10.1125  12.2471   13.3606   14.9824   15.6986   16.0398
## 2016-12-29   9.2500  11.9540   13.3171   15.0184   15.6482   15.9633
## 2016-12-30   9.2825  11.9709   13.3294   15.0230   15.6503   15.9648
## 2017-01-02   9.7200  12.2686   13.4589   15.1726   15.7637   16.0575
## [1] "KOSPI200 ATM Vols"

KOSPI200 ATM Vol vs. Price (182)

##                 S X30.Days X91.Days X182.Days X365.Days X547.Days
## 2016-12-07 256.34   9.2899  11.7125   12.8824   14.5523   15.3521
## 2016-12-08 262.00   8.2200  11.0800   12.4600   14.3054   15.1568
## 2016-12-09 260.91   9.0900  11.6337   12.8293   14.5238   15.2667
## 2016-12-12 260.72   7.7000  11.5343   13.0067   14.6035   15.3250
## 2016-12-13 261.63   7.7600  11.5986   12.7982   14.6020   15.2761
## 2016-12-14 262.00   8.1304  11.6397   12.9324   14.6300   15.2779
## 2016-12-15 261.45   8.2921  11.4160   12.8629   14.5847   15.2835
## 2016-12-16 262.56   8.3854  11.4889   12.8441   14.6092   15.2817
## 2016-12-19 261.93   9.2643  11.7109   13.0357   14.7417   15.3676
## 2016-12-20 262.59   9.3400  11.6917   12.9969   14.7881   15.4602
## 2016-12-21 262.10   9.4671  11.7809   13.0224   14.7667   15.3200
## 2016-12-22 261.97   9.2771  11.8440   13.0357   14.8596   15.5647
## 2016-12-23 261.61   9.5416  11.9746   13.2881   14.9140   15.5639
## 2016-12-26 261.90   9.3393  11.9454   13.1878   14.8963   15.5528
## 2016-12-27 262.49   9.3000  11.8426   13.0901   14.8246   15.5156
## 2016-12-28 259.70  10.1125  12.2471   13.3606   14.9824   15.6986
## 2016-12-29 260.01   9.2500  11.9540   13.3171   15.0184   15.6482
## 2016-12-30 260.01   9.2825  11.9709   13.3294   15.0230   15.6503
## 2017-01-02 260.36   9.7200  12.2686   13.4589   15.1726   15.7637
## 2017-01-03 262.97   9.7200  12.2686   13.4589   15.1726   15.7637
##            X730.Days
## 2016-12-07   15.7377
## 2016-12-08   15.5608
## 2016-12-09   15.6235
## 2016-12-12   15.6684
## 2016-12-13   15.6000
## 2016-12-14   15.5918
## 2016-12-15   15.6235
## 2016-12-16   15.6053
## 2016-12-19   15.6797
## 2016-12-20   15.7867
## 2016-12-21   15.5965
## 2016-12-22   15.9038
## 2016-12-23   15.8993
## 2016-12-26   15.8804
## 2016-12-27   15.8523
## 2016-12-28   16.0398
## 2016-12-29   15.9633
## 2016-12-30   15.9648
## 2017-01-02   16.0575
## 2017-01-03   16.0575
## [1] "KOSPI200 ATM Vols vs. Price"

KOSPI200 ATM Vol vs. Price (365)

##                 S X30.Days X91.Days X182.Days X365.Days X547.Days
## 2016-12-07 256.34   9.2899  11.7125   12.8824   14.5523   15.3521
## 2016-12-08 262.00   8.2200  11.0800   12.4600   14.3054   15.1568
## 2016-12-09 260.91   9.0900  11.6337   12.8293   14.5238   15.2667
## 2016-12-12 260.72   7.7000  11.5343   13.0067   14.6035   15.3250
## 2016-12-13 261.63   7.7600  11.5986   12.7982   14.6020   15.2761
## 2016-12-14 262.00   8.1304  11.6397   12.9324   14.6300   15.2779
## 2016-12-15 261.45   8.2921  11.4160   12.8629   14.5847   15.2835
## 2016-12-16 262.56   8.3854  11.4889   12.8441   14.6092   15.2817
## 2016-12-19 261.93   9.2643  11.7109   13.0357   14.7417   15.3676
## 2016-12-20 262.59   9.3400  11.6917   12.9969   14.7881   15.4602
## 2016-12-21 262.10   9.4671  11.7809   13.0224   14.7667   15.3200
## 2016-12-22 261.97   9.2771  11.8440   13.0357   14.8596   15.5647
## 2016-12-23 261.61   9.5416  11.9746   13.2881   14.9140   15.5639
## 2016-12-26 261.90   9.3393  11.9454   13.1878   14.8963   15.5528
## 2016-12-27 262.49   9.3000  11.8426   13.0901   14.8246   15.5156
## 2016-12-28 259.70  10.1125  12.2471   13.3606   14.9824   15.6986
## 2016-12-29 260.01   9.2500  11.9540   13.3171   15.0184   15.6482
## 2016-12-30 260.01   9.2825  11.9709   13.3294   15.0230   15.6503
## 2017-01-02 260.36   9.7200  12.2686   13.4589   15.1726   15.7637
## 2017-01-03 262.97   9.7200  12.2686   13.4589   15.1726   15.7637
##            X730.Days
## 2016-12-07   15.7377
## 2016-12-08   15.5608
## 2016-12-09   15.6235
## 2016-12-12   15.6684
## 2016-12-13   15.6000
## 2016-12-14   15.5918
## 2016-12-15   15.6235
## 2016-12-16   15.6053
## 2016-12-19   15.6797
## 2016-12-20   15.7867
## 2016-12-21   15.5965
## 2016-12-22   15.9038
## 2016-12-23   15.8993
## 2016-12-26   15.8804
## 2016-12-27   15.8523
## 2016-12-28   16.0398
## 2016-12-29   15.9633
## 2016-12-30   15.9648
## 2017-01-02   16.0575
## 2017-01-03   16.0575
## [1] "KOSPI200 ATM Vols vs. Price"

KOSPI200 Skew

##            X30.Days X91.Days X182.Days X365.Days X547.Days X730.Days
## 2016-12-06   7.7040   5.6243    4.3144    3.4379    2.6606    2.2647
## 2016-12-07   6.9981   5.3625    4.1622    3.2162    2.6007    2.2609
## 2016-12-08   6.6900   4.8600    3.7100    2.9638    2.3910    2.0869
## 2016-12-09   6.8400   4.6454    3.4749    2.9705    2.3764    2.0753
## 2016-12-12   7.4900   4.6494    3.5655    2.9704    2.3596    2.0713
## 2016-12-13   6.3300   4.4557    3.5214    3.2768    2.4283    2.0600
## 2016-12-14   6.4350   4.3723    3.5063    3.2200    2.4161    2.0590
## 2016-12-15   6.6257   4.4480    3.5300    3.1352    2.4350    2.0980
## 2016-12-16   6.6475   4.4514    3.5335    3.1205    2.4284    2.1069
## 2016-12-19   6.8536   4.3497    3.5561    3.0575    2.4121    2.0939
## 2016-12-20   6.8675   4.4669    3.6214    3.0526    2.4005    2.0931
## 2016-12-21   6.8857   4.6183    3.6537    3.3782    2.5248    2.1227
## 2016-12-22   6.7325   4.7360    3.6500    3.5677    2.6303    2.0923
## 2016-12-23   6.8431   4.8821    3.8583    3.6351    2.6441    2.1445
## 2016-12-26   6.7407   4.8249    3.8371    3.6449    2.6248    2.1371
## 2016-12-27   6.7550   4.8437    3.9259    3.6815    2.6315    2.1462
## 2016-12-28   7.1557   4.8686    3.9492    3.7221    2.7028    2.1352
## 2016-12-29   6.8743   5.0260    4.2957    3.5661    2.6150    2.1346
## 2016-12-30   6.8639   5.0006    4.2841    3.5598    2.6117    2.1337
## 2017-01-02   7.0671   5.1100    4.3351    3.5765    2.6135    2.1308
## [1] "KOSPI200 Skews(90, 110)"

KOSPI200 Skew vs. Price (182)

KOSPI200 Skew vs. Price (365)

KOSPI200 Calendar

##            X30...91 X91...182 X91...365 X91...547
## 2016-12-06   -29.10    -91.64   -257.52   -335.41
## 2016-12-07  -242.26   -116.99   -283.98   -363.96
## 2016-12-08  -286.00   -138.00   -322.54   -407.68
## 2016-12-09  -254.37   -119.56   -289.01   -363.30
## 2016-12-12  -383.43   -147.24   -306.92   -379.08
## 2016-12-13  -383.86   -119.96   -300.34   -367.75
## 2016-12-14  -350.94   -129.27   -299.03   -363.82
## 2016-12-15  -312.39   -144.69   -316.87   -386.75
## 2016-12-16  -310.35   -135.52   -312.04   -379.28
## 2016-12-19  -244.66   -132.49   -303.08   -365.67
## 2016-12-20  -235.17   -130.52   -309.64   -376.84
## 2016-12-21  -231.37   -124.16   -298.59   -353.91
## 2016-12-22  -256.69   -119.17   -301.56   -372.07
## 2016-12-23  -243.29   -131.36   -293.94   -358.93
## 2016-12-26  -260.61   -124.23   -295.09   -360.74
## 2016-12-27  -254.26   -124.75   -298.20   -367.30
## 2016-12-28  -213.46   -111.35   -273.53   -345.14
## 2016-12-29  -270.40   -136.31   -306.44   -369.42
## 2016-12-30  -268.84   -135.85   -305.21   -367.94
## 2017-01-02  -254.86   -119.03   -290.40   -349.51
## [1] "KOSPI200 ATM Calendar"

SPX

SPX ATM Vol (182)

##            X30.Days X91.Days X182.Days X365.Days X547.Days X730.Days
## 2016-12-06   9.6105  12.3342   14.1546   15.9100   16.8347   17.4050
## 2016-12-07   9.8944  12.1767   14.0144   15.7475   16.6342   17.2937
## 2016-12-08  10.5452  12.5915   14.3182   15.9996   16.8928   17.5328
## 2016-12-09   9.8713  12.1595   14.0287   15.8303   16.8814   17.6001
## 2016-12-12  10.9918  12.6657   14.2902   16.0077   17.0620   17.8603
## 2016-12-13  11.3132  12.8118   14.3503   15.9462   16.9978   17.7471
## 2016-12-14  11.2279  12.7157   14.2094   15.9331   17.0352   17.7824
## 2016-12-15  10.2402  12.3879   14.0231   15.7706   16.9005   17.6750
## 2016-12-16   9.8846  12.1841   13.8953   15.7625   16.8814   17.6467
## 2016-12-19   9.5288  12.0230   13.7068   15.6838   16.7863   17.5610
## 2016-12-20   9.5380  11.8968   13.6504   15.6299   16.7487   17.4750
## 2016-12-21   9.4417  12.0121   13.6971   15.6885   16.7970   17.5909
## 2016-12-22   9.6143  12.1575   13.7823   15.7019   16.7861   17.5023
## 2016-12-23   9.4523  12.0834   13.7501   15.6288   16.7498   17.5231
## 2016-12-26   9.6022  12.1486   13.7874   15.6490   16.7625   17.5329
## 2016-12-27   9.7822  12.1087   13.7136   15.6580   16.8498   17.7740
## 2016-12-28  10.5316  12.7403   14.1253   15.8796   17.0214   17.9054
## 2016-12-29  11.0303  12.9839   14.4139   16.0597   17.1082   17.8707
## 2016-12-30  11.4822  13.4544   14.7574   16.3460   17.3582   18.0747
## 2017-01-02  11.5753  13.4979   14.7899   16.3631   17.3700   18.0838
## [1] "SPX ATM Vols"

SPX ATM Vol (365)

##            X30.Days X91.Days X182.Days X365.Days X547.Days X730.Days
## 2016-12-06   9.6105  12.3342   14.1546   15.9100   16.8347   17.4050
## 2016-12-07   9.8944  12.1767   14.0144   15.7475   16.6342   17.2937
## 2016-12-08  10.5452  12.5915   14.3182   15.9996   16.8928   17.5328
## 2016-12-09   9.8713  12.1595   14.0287   15.8303   16.8814   17.6001
## 2016-12-12  10.9918  12.6657   14.2902   16.0077   17.0620   17.8603
## 2016-12-13  11.3132  12.8118   14.3503   15.9462   16.9978   17.7471
## 2016-12-14  11.2279  12.7157   14.2094   15.9331   17.0352   17.7824
## 2016-12-15  10.2402  12.3879   14.0231   15.7706   16.9005   17.6750
## 2016-12-16   9.8846  12.1841   13.8953   15.7625   16.8814   17.6467
## 2016-12-19   9.5288  12.0230   13.7068   15.6838   16.7863   17.5610
## 2016-12-20   9.5380  11.8968   13.6504   15.6299   16.7487   17.4750
## 2016-12-21   9.4417  12.0121   13.6971   15.6885   16.7970   17.5909
## 2016-12-22   9.6143  12.1575   13.7823   15.7019   16.7861   17.5023
## 2016-12-23   9.4523  12.0834   13.7501   15.6288   16.7498   17.5231
## 2016-12-26   9.6022  12.1486   13.7874   15.6490   16.7625   17.5329
## 2016-12-27   9.7822  12.1087   13.7136   15.6580   16.8498   17.7740
## 2016-12-28  10.5316  12.7403   14.1253   15.8796   17.0214   17.9054
## 2016-12-29  11.0303  12.9839   14.4139   16.0597   17.1082   17.8707
## 2016-12-30  11.4822  13.4544   14.7574   16.3460   17.3582   18.0747
## 2017-01-02  11.5753  13.4979   14.7899   16.3631   17.3700   18.0838
## [1] "SPX ATM Vols"

SPX ATM Vol vs. Price (182)

##                  S X30.Days X91.Days X182.Days X365.Days X547.Days
## 2016-12-07 2241.35   9.8944  12.1767   14.0144   15.7475   16.6342
## 2016-12-08 2246.19  10.5452  12.5915   14.3182   15.9996   16.8928
## 2016-12-09 2259.53   9.8713  12.1595   14.0287   15.8303   16.8814
## 2016-12-12 2256.96  10.9918  12.6657   14.2902   16.0077   17.0620
## 2016-12-13 2271.72  11.3132  12.8118   14.3503   15.9462   16.9978
## 2016-12-14 2253.28  11.2279  12.7157   14.2094   15.9331   17.0352
## 2016-12-15 2262.03  10.2402  12.3879   14.0231   15.7706   16.9005
## 2016-12-16 2258.07   9.8846  12.1841   13.8953   15.7625   16.8814
## 2016-12-19 2262.53   9.5288  12.0230   13.7068   15.6838   16.7863
## 2016-12-20 2270.76   9.5380  11.8968   13.6504   15.6299   16.7487
## 2016-12-21 2265.18   9.4417  12.0121   13.6971   15.6885   16.7970
## 2016-12-22 2260.96   9.6143  12.1575   13.7823   15.7019   16.7861
## 2016-12-23 2263.79   9.4523  12.0834   13.7501   15.6288   16.7498
## 2016-12-26 2263.79   9.6022  12.1486   13.7874   15.6490   16.7625
## 2016-12-27 2268.88   9.7822  12.1087   13.7136   15.6580   16.8498
## 2016-12-28 2249.92  10.5316  12.7403   14.1253   15.8796   17.0214
## 2016-12-29 2249.26  11.0303  12.9839   14.4139   16.0597   17.1082
## 2016-12-30 2238.83  11.4822  13.4544   14.7574   16.3460   17.3582
## 2017-01-02 2238.83  11.5753  13.4979   14.7899   16.3631   17.3700
## 2017-01-03 2257.83  11.5753  13.4979   14.7899   16.3631   17.3700
##            X730.Days
## 2016-12-07   17.2937
## 2016-12-08   17.5328
## 2016-12-09   17.6001
## 2016-12-12   17.8603
## 2016-12-13   17.7471
## 2016-12-14   17.7824
## 2016-12-15   17.6750
## 2016-12-16   17.6467
## 2016-12-19   17.5610
## 2016-12-20   17.4750
## 2016-12-21   17.5909
## 2016-12-22   17.5023
## 2016-12-23   17.5231
## 2016-12-26   17.5329
## 2016-12-27   17.7740
## 2016-12-28   17.9054
## 2016-12-29   17.8707
## 2016-12-30   18.0747
## 2017-01-02   18.0838
## 2017-01-03   18.0838
## [1] "SPX ATM Vols vs. Price"

SPX ATM Vol vs. Price (365)

##                  S X30.Days X91.Days X182.Days X365.Days X547.Days
## 2016-12-07 2241.35   9.8944  12.1767   14.0144   15.7475   16.6342
## 2016-12-08 2246.19  10.5452  12.5915   14.3182   15.9996   16.8928
## 2016-12-09 2259.53   9.8713  12.1595   14.0287   15.8303   16.8814
## 2016-12-12 2256.96  10.9918  12.6657   14.2902   16.0077   17.0620
## 2016-12-13 2271.72  11.3132  12.8118   14.3503   15.9462   16.9978
## 2016-12-14 2253.28  11.2279  12.7157   14.2094   15.9331   17.0352
## 2016-12-15 2262.03  10.2402  12.3879   14.0231   15.7706   16.9005
## 2016-12-16 2258.07   9.8846  12.1841   13.8953   15.7625   16.8814
## 2016-12-19 2262.53   9.5288  12.0230   13.7068   15.6838   16.7863
## 2016-12-20 2270.76   9.5380  11.8968   13.6504   15.6299   16.7487
## 2016-12-21 2265.18   9.4417  12.0121   13.6971   15.6885   16.7970
## 2016-12-22 2260.96   9.6143  12.1575   13.7823   15.7019   16.7861
## 2016-12-23 2263.79   9.4523  12.0834   13.7501   15.6288   16.7498
## 2016-12-26 2263.79   9.6022  12.1486   13.7874   15.6490   16.7625
## 2016-12-27 2268.88   9.7822  12.1087   13.7136   15.6580   16.8498
## 2016-12-28 2249.92  10.5316  12.7403   14.1253   15.8796   17.0214
## 2016-12-29 2249.26  11.0303  12.9839   14.4139   16.0597   17.1082
## 2016-12-30 2238.83  11.4822  13.4544   14.7574   16.3460   17.3582
## 2017-01-02 2238.83  11.5753  13.4979   14.7899   16.3631   17.3700
## 2017-01-03 2257.83  11.5753  13.4979   14.7899   16.3631   17.3700
##            X730.Days
## 2016-12-07   17.2937
## 2016-12-08   17.5328
## 2016-12-09   17.6001
## 2016-12-12   17.8603
## 2016-12-13   17.7471
## 2016-12-14   17.7824
## 2016-12-15   17.6750
## 2016-12-16   17.6467
## 2016-12-19   17.5610
## 2016-12-20   17.4750
## 2016-12-21   17.5909
## 2016-12-22   17.5023
## 2016-12-23   17.5231
## 2016-12-26   17.5329
## 2016-12-27   17.7740
## 2016-12-28   17.9054
## 2016-12-29   17.8707
## 2016-12-30   18.0747
## 2017-01-02   18.0838
## 2017-01-03   18.0838
## [1] "SPX ATM Vols vs. Price"

SPX K Vol

##            X2016.09.16...2000 X2016.09.16...1850 X2016.09.16...1900
## 2016-12-06            23.8207            39.1602            33.4764
## 2016-12-07            26.9028            42.2267            36.4555
## 2016-12-08            28.9368            47.7018            40.4052
## 2016-12-09            33.3553            56.0014            49.2809
## 2016-12-12            43.1752            62.7442            58.3292
## 2016-12-13            49.2881            62.7613            60.5111
## 2016-12-14            58.4183            76.2122            73.7121
## 2016-12-15            72.3878            78.9605            78.4038
## 2016-12-16            20.5183            27.2307            24.8527
## 2016-12-19            20.5799            27.7760            25.2346
## 2016-12-20            20.5503            27.6005            25.1212
## 2016-12-21            19.9991            26.8416            24.4488
## 2016-12-22            20.1398            27.4953            24.8152
## 2016-12-23            20.4529            28.0709            25.3194
## 2016-12-26            20.4529            28.0709            25.3194
## 2016-12-27            21.3149            29.3936            26.4718
## 2016-12-28            21.6947            29.9425            26.8895
## 2016-12-29            22.2462            31.0417            27.7075
## 2016-12-30            22.9426            31.1954            28.0977
## 2017-01-02            22.9426            31.1954            28.0977
##            X2016.09.16...1800
## 2016-12-06            45.3259
## 2016-12-07            47.9980
## 2016-12-08            54.9985
## 2016-12-09            62.0365
## 2016-12-12            66.8379
## 2016-12-13            64.4163
## 2016-12-14            78.6078
## 2016-12-15            79.4246
## 2016-12-16            29.6418
## 2016-12-19            30.3741
## 2016-12-20            30.1734
## 2016-12-21            29.2880
## 2016-12-22            30.2521
## 2016-12-23            30.9160
## 2016-12-26            30.9160
## 2016-12-27            32.4420
## 2016-12-28            32.9955
## 2016-12-29            34.3758
## 2016-12-30            34.2931
## 2017-01-02            34.2931
## [1] "SPX  Vols"

SPX Skew (182)

##            X30.Days X91.Days X182.Days X365.Days
## 2016-12-06   7.9387   8.4458    8.2677    6.5992
## 2016-12-07   6.9263   7.8215    7.9888    6.4736
## 2016-12-08   6.9026   7.5085    7.6467    6.3011
## 2016-12-09   6.8808   7.2724    7.4769    6.1016
## 2016-12-12   8.6807   7.5921    7.5824    6.1424
## 2016-12-13   8.3770   7.3189    7.3891    6.0639
## 2016-12-14   9.3778   7.8424    7.7640    6.2481
## 2016-12-15  10.9847   7.9359    7.9113    6.3203
## 2016-12-16   6.4863   8.0611    8.1254    6.5423
## 2016-12-19   6.0666   7.7202    7.7742    6.3264
## 2016-12-20   5.8841   7.6983    7.7477    6.3787
## 2016-12-21   5.6952   7.6689    7.6766    6.3630
## 2016-12-22   6.3407   8.0486    7.9184    6.5235
## 2016-12-23   6.3162   8.0475    7.9078    6.4790
## 2016-12-26   6.4314   8.0606    7.8842    6.4606
## 2016-12-27   6.5037   8.0116    7.8211    6.4133
## 2016-12-28   7.3792   8.7322    8.2298    6.5079
## 2016-12-29   7.8133   8.8618    8.3613    6.5808
## 2016-12-30   8.3504   9.2808    8.6214    6.6728
## 2017-01-02   8.4205   9.2667    8.5845    6.6506
## [1] "SPX Skews(90, 110)"

SPX Skew (365)

##            X30.Days X91.Days X182.Days X365.Days
## 2016-12-06   7.9387   8.4458    8.2677    6.5992
## 2016-12-07   6.9263   7.8215    7.9888    6.4736
## 2016-12-08   6.9026   7.5085    7.6467    6.3011
## 2016-12-09   6.8808   7.2724    7.4769    6.1016
## 2016-12-12   8.6807   7.5921    7.5824    6.1424
## 2016-12-13   8.3770   7.3189    7.3891    6.0639
## 2016-12-14   9.3778   7.8424    7.7640    6.2481
## 2016-12-15  10.9847   7.9359    7.9113    6.3203
## 2016-12-16   6.4863   8.0611    8.1254    6.5423
## 2016-12-19   6.0666   7.7202    7.7742    6.3264
## 2016-12-20   5.8841   7.6983    7.7477    6.3787
## 2016-12-21   5.6952   7.6689    7.6766    6.3630
## 2016-12-22   6.3407   8.0486    7.9184    6.5235
## 2016-12-23   6.3162   8.0475    7.9078    6.4790
## 2016-12-26   6.4314   8.0606    7.8842    6.4606
## 2016-12-27   6.5037   8.0116    7.8211    6.4133
## 2016-12-28   7.3792   8.7322    8.2298    6.5079
## 2016-12-29   7.8133   8.8618    8.3613    6.5808
## 2016-12-30   8.3504   9.2808    8.6214    6.6728
## 2017-01-02   8.4205   9.2667    8.5845    6.6506
## [1] "SPX Skews(90, 110)"

SPX Skew vs. Price (182)

SPX Skew vs. Price (365)

SPX Skew (Put)

##            X30.Days X91.Days X182.Days X365.Days X547.Days X730.Days
## 2016-12-06  11.4061   6.7206    5.0837    3.7134    2.9883    2.5181
## 2016-12-07  11.3287   6.6311    5.0643    3.6882    2.9751    2.5056
## 2016-12-08  10.9524   6.3014    4.8680    3.6002    2.9398    2.4917
## 2016-12-09  11.6367   6.3123    4.8280    3.5346    2.9256    2.5073
## 2016-12-12  12.9273   6.3086    4.8042    3.5372    2.9575    2.5214
## 2016-12-13  13.1053   6.1360    4.7449    3.5408    2.9452    2.5186
## 2016-12-14  15.2351   6.6035    4.9949    3.6460    2.9927    2.5759
## 2016-12-15  17.8860   6.8503    5.1287    3.7000    3.0300    2.5943
## 2016-12-16   9.2679   6.9904    5.2603    3.8056    3.1076    2.6525
## 2016-12-19   9.4093   6.8040    5.1220    3.7018    3.0307    2.6047
## 2016-12-20   9.0887   6.7732    5.1132    3.7165    3.0281    2.5924
## 2016-12-21   8.8812   6.6185    5.0654    3.7116    3.0250    2.5700
## 2016-12-22   8.9593   6.7551    5.1648    3.7956    3.0719    2.5979
## 2016-12-23   9.2371   6.7987    5.1658    3.7913    3.0799    2.6158
## 2016-12-26   9.0586   6.7335    5.1381    3.7767    3.0723    2.6095
## 2016-12-27   9.3241   6.7620    5.1350    3.7427    3.0483    2.5678
## 2016-12-28   9.6586   6.8793    5.1917    3.7454    3.0150    2.5264
## 2016-12-29   9.6124   6.8535    5.1659    3.7602    3.0515    2.5540
## 2016-12-30  10.1425   6.8570    5.1871    3.7661    3.0576    2.5558
## 2017-01-02   9.8653   6.7842    5.1568    3.7515    3.0492    2.5511
## [1] "SPX Skews(90, 100)"

SPX Skew (Call)

##            X30.Days X91.Days X182.Days X365.Days X547.Days X730.Days
## 2016-12-06  -3.4674   1.7251    3.1840    2.8858    2.5520    2.2086
## 2016-12-07  -4.4024   1.1904    2.9245    2.7854    2.4880    2.1641
## 2016-12-08  -4.0499   1.2071    2.7787    2.7009    2.4555    2.1423
## 2016-12-09  -4.7559   0.9600    2.6489    2.5670    2.4022    2.1372
## 2016-12-12  -4.2466   1.2835    2.7782    2.6052    2.4217    2.1532
## 2016-12-13  -4.7283   1.1829    2.6443    2.5231    2.3806    2.1214
## 2016-12-14  -5.8574   1.2389    2.7691    2.6021    2.4509    2.1709
## 2016-12-15  -6.9013   1.0856    2.7825    2.6203    2.4702    2.1796
## 2016-12-16  -2.7817   1.0708    2.8651    2.7366    2.5275    2.2375
## 2016-12-19  -3.3426   0.9162    2.6521    2.6246    2.4641    2.2027
## 2016-12-20  -3.2046   0.9251    2.6345    2.6622    2.4817    2.1914
## 2016-12-21  -3.1860   1.0504    2.6111    2.6514    2.4511    2.1702
## 2016-12-22  -2.6186   1.2935    2.7536    2.7278    2.5077    2.1984
## 2016-12-23  -2.9209   1.2489    2.7420    2.6877    2.4964    2.2166
## 2016-12-26  -2.6272   1.3271    2.7461    2.6840    2.4918    2.2124
## 2016-12-27  -2.8204   1.2496    2.6861    2.6706    2.4723    2.2112
## 2016-12-28  -2.2794   1.8528    3.0382    2.7625    2.4845    2.1408
## 2016-12-29  -1.7992   2.0083    3.1954    2.8206    2.5423    2.1891
## 2016-12-30  -1.7922   2.4238    3.4343    2.9067    2.5613    2.1918
## 2017-01-02  -1.4449   2.4824    3.4278    2.8991    2.5551    2.1886
## [1] "SPX Skews(100, 110)"

SPX Calendar

##            X30...91 X91...182 X91...365 X91...547
## 2016-12-06  -2.7236   -1.8205   -3.5758   -4.5005
## 2016-12-07  -2.2823   -1.8377   -3.5708   -4.4576
## 2016-12-08  -2.0462   -1.7267   -3.4081   -4.3014
## 2016-12-09  -2.2882   -1.8692   -3.6707   -4.7218
## 2016-12-12  -1.6738   -1.6246   -3.3420   -4.3963
## 2016-12-13  -1.4986   -1.5385   -3.1344   -4.1860
## 2016-12-14  -1.4878   -1.4937   -3.2174   -4.3195
## 2016-12-15  -2.1476   -1.6352   -3.3827   -4.5126
## 2016-12-16  -2.2995   -1.7112   -3.5784   -4.6973
## 2016-12-19  -2.4941   -1.6839   -3.6609   -4.7633
## 2016-12-20  -2.3588   -1.7536   -3.7331   -4.8519
## 2016-12-21  -2.5704   -1.6850   -3.6764   -4.7850
## 2016-12-22  -2.5433   -1.6248   -3.5444   -4.6286
## 2016-12-23  -2.6311   -1.6667   -3.5454   -4.6664
## 2016-12-26  -2.5464   -1.6388   -3.5004   -4.6139
## 2016-12-27  -2.3265   -1.6048   -3.5493   -4.7411
## 2016-12-28  -2.2088   -1.3849   -3.1393   -4.2811
## 2016-12-29  -1.9536   -1.4300   -3.0758   -4.1243
## 2016-12-30  -1.9722   -1.3030   -2.8916   -3.9038
## 2017-01-02  -1.9225   -1.2921   -2.8653   -3.8722
## [1] "SPX ATM Calendar"

HSCEI

HSCEI ATM Vol (182)

##            X30.Days X91.Days X182.Days X365.Days X547.Days X730.Days
## 2016-12-06  17.3525  19.2290   20.6727   22.1222   22.7787   23.3603
## 2016-12-07  16.8514  18.7568   20.1864   21.9115   22.5135   23.1985
## 2016-12-08  16.6529  19.0003   20.4023   21.9471   22.5618   23.1901
## 2016-12-09  16.4014  18.8565   20.3395   21.9752   22.6363   23.2198
## 2016-12-12  17.9796  19.5048   20.6593   22.1540   22.8081   23.2889
## 2016-12-13  17.4350  19.2526   20.5600   22.0729   22.7673   23.3341
## 2016-12-14  17.4743  19.3129   20.5933   22.1131   22.7285   23.3980
## 2016-12-15  19.5414  20.3452   21.2023   22.5443   23.1686   23.7395
## 2016-12-16  18.8136  20.0994   21.1200   22.4703   23.0457   23.5752
## 2016-12-19  19.5029  20.4655   21.3086   22.5756   23.0673   23.6605
## 2016-12-20  19.6575  20.7206   21.4276   22.5908   23.1563   23.8590
## 2016-12-21  18.1129  20.0577   21.1403   22.4254   22.9604   23.5570
## 2016-12-22  18.7675  20.8300   21.5477   22.6890   23.2035   23.8100
## 2016-12-23  19.1457  21.0229   21.7398   22.9431   23.4174   23.9844
## 2016-12-26  19.7489  21.0965   21.7599   22.9592   23.4249   23.9938
## 2016-12-27  19.9500  21.1210   21.7666   22.9646   23.4275   23.9969
## 2016-12-28  20.3878  20.9974   21.5640   22.7300   23.1400   23.7300
## 2016-12-29  20.3238  20.8800   21.5800   22.7718   23.1032   23.6915
## 2016-12-30  19.7219  20.6893   21.5354   22.7323   22.9469   23.5712
## 2017-01-02  19.7237  20.7174   21.5515   22.7358   22.9572   23.5730
## [1] "HSCEI ATM Vols"

HSCEI ATM Vol (365)

##            X30.Days X91.Days X182.Days X365.Days X547.Days X730.Days
## 2016-12-06  17.3525  19.2290   20.6727   22.1222   22.7787   23.3603
## 2016-12-07  16.8514  18.7568   20.1864   21.9115   22.5135   23.1985
## 2016-12-08  16.6529  19.0003   20.4023   21.9471   22.5618   23.1901
## 2016-12-09  16.4014  18.8565   20.3395   21.9752   22.6363   23.2198
## 2016-12-12  17.9796  19.5048   20.6593   22.1540   22.8081   23.2889
## 2016-12-13  17.4350  19.2526   20.5600   22.0729   22.7673   23.3341
## 2016-12-14  17.4743  19.3129   20.5933   22.1131   22.7285   23.3980
## 2016-12-15  19.5414  20.3452   21.2023   22.5443   23.1686   23.7395
## 2016-12-16  18.8136  20.0994   21.1200   22.4703   23.0457   23.5752
## 2016-12-19  19.5029  20.4655   21.3086   22.5756   23.0673   23.6605
## 2016-12-20  19.6575  20.7206   21.4276   22.5908   23.1563   23.8590
## 2016-12-21  18.1129  20.0577   21.1403   22.4254   22.9604   23.5570
## 2016-12-22  18.7675  20.8300   21.5477   22.6890   23.2035   23.8100
## 2016-12-23  19.1457  21.0229   21.7398   22.9431   23.4174   23.9844
## 2016-12-26  19.7489  21.0965   21.7599   22.9592   23.4249   23.9938
## 2016-12-27  19.9500  21.1210   21.7666   22.9646   23.4275   23.9969
## 2016-12-28  20.3878  20.9974   21.5640   22.7300   23.1400   23.7300
## 2016-12-29  20.3238  20.8800   21.5800   22.7718   23.1032   23.6915
## 2016-12-30  19.7219  20.6893   21.5354   22.7323   22.9469   23.5712
## 2017-01-02  19.7237  20.7174   21.5515   22.7358   22.9572   23.5730
## [1] "HSCEI ATM Vols"

HSCEI ATM Vol vs. Price (182)

##                  S X30.Days X91.Days X182.Days X365.Days X547.Days
## 2016-12-07 9829.58  16.8514  18.7568   20.1864   21.9115   22.5135
## 2016-12-08 9896.82  16.6529  19.0003   20.4023   21.9471   22.5618
## 2016-12-09 9867.95  16.4014  18.8565   20.3395   21.9752   22.6363
## 2016-12-12 9699.31  17.9796  19.5048   20.6593   22.1540   22.8081
## 2016-12-13 9719.94  17.4350  19.2526   20.5600   22.0729   22.7673
## 2016-12-14 9706.15  17.4743  19.3129   20.5933   22.1131   22.7285
## 2016-12-15 9479.16  19.5414  20.3452   21.2023   22.5443   23.1686
## 2016-12-16 9470.33  18.8136  20.0994   21.1200   22.4703   23.0457
## 2016-12-19 9377.43  19.5029  20.4655   21.3086   22.5756   23.0673
## 2016-12-20 9283.41  19.6575  20.7206   21.4276   22.5908   23.1563
## 2016-12-21 9331.63  18.1129  20.0577   21.1403   22.4254   22.9604
## 2016-12-22 9200.24  18.7675  20.8300   21.5477   22.6890   23.2035
## 2016-12-23 9181.75  19.1457  21.0229   21.7398   22.9431   23.4174
## 2016-12-26 9181.75  19.7489  21.0965   21.7599   22.9592   23.4249
## 2016-12-27 9181.75  19.9500  21.1210   21.7666   22.9646   23.4275
## 2016-12-28 9300.63  20.3878  20.9974   21.5640   22.7300   23.1400
## 2016-12-29 9312.76  20.3238  20.8800   21.5800   22.7718   23.1032
## 2016-12-30 9394.87  19.7219  20.6893   21.5354   22.7323   22.9469
## 2017-01-02 9394.87  19.7237  20.7174   21.5515   22.7358   22.9572
## 2017-01-03 9459.55  19.7237  20.7174   21.5515   22.7358   22.9572
##            X730.Days
## 2016-12-07   23.1985
## 2016-12-08   23.1901
## 2016-12-09   23.2198
## 2016-12-12   23.2889
## 2016-12-13   23.3341
## 2016-12-14   23.3980
## 2016-12-15   23.7395
## 2016-12-16   23.5752
## 2016-12-19   23.6605
## 2016-12-20   23.8590
## 2016-12-21   23.5570
## 2016-12-22   23.8100
## 2016-12-23   23.9844
## 2016-12-26   23.9938
## 2016-12-27   23.9969
## 2016-12-28   23.7300
## 2016-12-29   23.6915
## 2016-12-30   23.5712
## 2017-01-02   23.5730
## 2017-01-03   23.5730
## [1] "HSCEI ATM Vols vs. Price"

HSCEI ATM Vol vs. Price (365)

##                  S X30.Days X91.Days X182.Days X365.Days X547.Days
## 2016-12-07 9829.58  16.8514  18.7568   20.1864   21.9115   22.5135
## 2016-12-08 9896.82  16.6529  19.0003   20.4023   21.9471   22.5618
## 2016-12-09 9867.95  16.4014  18.8565   20.3395   21.9752   22.6363
## 2016-12-12 9699.31  17.9796  19.5048   20.6593   22.1540   22.8081
## 2016-12-13 9719.94  17.4350  19.2526   20.5600   22.0729   22.7673
## 2016-12-14 9706.15  17.4743  19.3129   20.5933   22.1131   22.7285
## 2016-12-15 9479.16  19.5414  20.3452   21.2023   22.5443   23.1686
## 2016-12-16 9470.33  18.8136  20.0994   21.1200   22.4703   23.0457
## 2016-12-19 9377.43  19.5029  20.4655   21.3086   22.5756   23.0673
## 2016-12-20 9283.41  19.6575  20.7206   21.4276   22.5908   23.1563
## 2016-12-21 9331.63  18.1129  20.0577   21.1403   22.4254   22.9604
## 2016-12-22 9200.24  18.7675  20.8300   21.5477   22.6890   23.2035
## 2016-12-23 9181.75  19.1457  21.0229   21.7398   22.9431   23.4174
## 2016-12-26 9181.75  19.7489  21.0965   21.7599   22.9592   23.4249
## 2016-12-27 9181.75  19.9500  21.1210   21.7666   22.9646   23.4275
## 2016-12-28 9300.63  20.3878  20.9974   21.5640   22.7300   23.1400
## 2016-12-29 9312.76  20.3238  20.8800   21.5800   22.7718   23.1032
## 2016-12-30 9394.87  19.7219  20.6893   21.5354   22.7323   22.9469
## 2017-01-02 9394.87  19.7237  20.7174   21.5515   22.7358   22.9572
## 2017-01-03 9459.55  19.7237  20.7174   21.5515   22.7358   22.9572
##            X730.Days
## 2016-12-07   23.1985
## 2016-12-08   23.1901
## 2016-12-09   23.2198
## 2016-12-12   23.2889
## 2016-12-13   23.3341
## 2016-12-14   23.3980
## 2016-12-15   23.7395
## 2016-12-16   23.5752
## 2016-12-19   23.6605
## 2016-12-20   23.8590
## 2016-12-21   23.5570
## 2016-12-22   23.8100
## 2016-12-23   23.9844
## 2016-12-26   23.9938
## 2016-12-27   23.9969
## 2016-12-28   23.7300
## 2016-12-29   23.6915
## 2016-12-30   23.5712
## 2017-01-02   23.5730
## 2017-01-03   23.5730
## [1] "HSCEI ATM Vols vs. Price"

HSCEI Skew (182)

##            X30.Days X91.Days X182.Days X365.Days X547.Days X730.Days
## 2016-12-06   3.9325   3.7545    2.9702    2.3466    2.3200    2.1792
## 2016-12-07   3.2714   3.5610    2.7469    2.1885    2.1877    2.0572
## 2016-12-08   2.8675   3.1726    2.5354    2.0732    2.1223    2.0053
## 2016-12-09   3.1364   3.3294    2.6000    2.1225    2.1548    2.0345
## 2016-12-12   4.5807   3.9048    3.0368    2.3946    2.3153    2.1457
## 2016-12-13   4.6000   3.9048    2.9952    2.3814    2.3233    2.1548
## 2016-12-14   5.4639   4.1581    3.0477    2.4015    2.3338    2.1638
## 2016-12-15   6.2029   4.6484    3.5923    2.7729    2.5729    2.3463
## 2016-12-16   6.5796   4.8371    3.3214    2.6437    2.4332    2.3826
## 2016-12-19   7.0257   4.9100    3.4392    2.7908    2.5134    2.4525
## 2016-12-20   7.4175   5.4374    3.7170    2.9529    2.6241    2.5239
## 2016-12-21   7.0693   5.2542    3.5603    2.8777    2.5812    2.5123
## 2016-12-22   7.6664   5.8465    3.9715    3.1291    2.7425    2.6333
## 2016-12-23   7.4586   5.9177    3.9819    3.1465    2.7507    2.6427
## 2016-12-26   7.1521   5.8839    3.9159    3.1366    2.7443    2.6411
## 2016-12-27   7.0500   5.8726    3.8940    3.1333    2.7421    2.6405
## 2016-12-28   6.6797   5.4013    3.4911    2.9400    2.6300    2.5600
## 2016-12-29   6.7987   5.1500    3.3200    2.8884    2.5896    2.5186
## 2016-12-30   6.7697   5.0347    2.7569    2.4470    2.1814    2.3077
## 2017-01-02   6.6394   4.9589    2.7477    2.4426    2.1836    2.3042
## [1] "HSCEI Skews(90, 110)"

HSCEI Skew (365)

##            X30.Days X91.Days X182.Days X365.Days X547.Days X730.Days
## 2016-12-06   3.9325   3.7545    2.9702    2.3466    2.3200    2.1792
## 2016-12-07   3.2714   3.5610    2.7469    2.1885    2.1877    2.0572
## 2016-12-08   2.8675   3.1726    2.5354    2.0732    2.1223    2.0053
## 2016-12-09   3.1364   3.3294    2.6000    2.1225    2.1548    2.0345
## 2016-12-12   4.5807   3.9048    3.0368    2.3946    2.3153    2.1457
## 2016-12-13   4.6000   3.9048    2.9952    2.3814    2.3233    2.1548
## 2016-12-14   5.4639   4.1581    3.0477    2.4015    2.3338    2.1638
## 2016-12-15   6.2029   4.6484    3.5923    2.7729    2.5729    2.3463
## 2016-12-16   6.5796   4.8371    3.3214    2.6437    2.4332    2.3826
## 2016-12-19   7.0257   4.9100    3.4392    2.7908    2.5134    2.4525
## 2016-12-20   7.4175   5.4374    3.7170    2.9529    2.6241    2.5239
## 2016-12-21   7.0693   5.2542    3.5603    2.8777    2.5812    2.5123
## 2016-12-22   7.6664   5.8465    3.9715    3.1291    2.7425    2.6333
## 2016-12-23   7.4586   5.9177    3.9819    3.1465    2.7507    2.6427
## 2016-12-26   7.1521   5.8839    3.9159    3.1366    2.7443    2.6411
## 2016-12-27   7.0500   5.8726    3.8940    3.1333    2.7421    2.6405
## 2016-12-28   6.6797   5.4013    3.4911    2.9400    2.6300    2.5600
## 2016-12-29   6.7987   5.1500    3.3200    2.8884    2.5896    2.5186
## 2016-12-30   6.7697   5.0347    2.7569    2.4470    2.1814    2.3077
## 2017-01-02   6.6394   4.9589    2.7477    2.4426    2.1836    2.3042
## [1] "HSCEI Skews(90, 110)"

HSCEI Skew vs. Price (182)

HSCEI Skew vs. Price (365)

HSCEI Skew (Put)

##            X30.Days X91.Days X182.Days X365.Days X547.Days X730.Days
## 2016-12-06   6.5400   3.4932    2.3826    1.6711    1.4981    1.3568
## 2016-12-07   6.1143   3.4287    2.3277    1.5869    1.4262    1.2861
## 2016-12-08   6.2386   3.2161    2.2092    1.5330    1.4021    1.2653
## 2016-12-09   6.5493   3.3371    2.2449    1.5513    1.4036    1.2735
## 2016-12-12   7.4539   3.5784    2.4267    1.6834    1.4858    1.3331
## 2016-12-13   7.6050   3.6006    2.4063    1.6813    1.4848    1.3415
## 2016-12-14   8.0350   3.7168    2.4093    1.6877    1.4938    1.3322
## 2016-12-15   7.8486   3.7868    2.6392    1.8629    1.6071    1.4321
## 2016-12-16   8.2396   3.9829    2.5814    1.8277    1.5385    1.4546
## 2016-12-19   8.4243   3.8703    2.5852    1.8827    1.5748    1.4839
## 2016-12-20   8.2350   4.1742    2.7204    1.9620    1.6341    1.5148
## 2016-12-21   8.5593   4.1990    2.6654    1.9285    1.6119    1.5134
## 2016-12-22   8.8107   4.2932    2.8123    2.0471    1.6915    1.5736
## 2016-12-23   8.6657   4.4026    2.8242    2.0548    1.6899    1.5827
## 2016-12-26   7.3939   4.3513    2.7721    2.0459    1.6840    1.5811
## 2016-12-27   6.9700   4.3342    2.7547    2.0430    1.6820    1.5805
## 2016-12-28   7.0825   4.0994    2.5569    1.9500    1.6300    1.5300
## 2016-12-29   7.1731   4.0600    2.4700    1.9182    1.5995    1.5091
## 2016-12-30   7.2288   4.0300    2.2260    1.7266    1.4199    1.4083
## 2017-01-02   6.9775   3.9700    2.2142    1.7215    1.4197    1.4059
## [1] "HSCEI Skews(90, 100)"

HSCEI Skew (Call)

##            X30.Days X91.Days X182.Days X365.Days X547.Days X730.Days
## 2016-12-06  -2.6075   0.2613    0.5876    0.6755    0.8219    0.8224
## 2016-12-07  -2.8429   0.1323    0.4192    0.6015    0.7615    0.7711
## 2016-12-08  -3.3711  -0.0435    0.3262    0.5402    0.7202    0.7400
## 2016-12-09  -3.4129  -0.0077    0.3551    0.5712    0.7512    0.7610
## 2016-12-12  -2.8732   0.3265    0.6101    0.7112    0.8295    0.8126
## 2016-12-13  -3.0050   0.3042    0.5889    0.7001    0.8385    0.8133
## 2016-12-14  -2.5711   0.4413    0.6384    0.7138    0.8400    0.8315
## 2016-12-15  -1.6457   0.8616    0.9531    0.9100    0.9657    0.9143
## 2016-12-16  -1.6600   0.8542    0.7400    0.8160    0.8947    0.9280
## 2016-12-19  -1.3986   1.0397    0.8541    0.9080    0.9385    0.9685
## 2016-12-20  -0.8175   1.2632    0.9966    0.9909    0.9900    1.0091
## 2016-12-21  -1.4900   1.0552    0.8949    0.9492    0.9692    0.9989
## 2016-12-22  -1.1443   1.5532    1.1592    1.0820    1.0510    1.0597
## 2016-12-23  -1.2071   1.5152    1.1577    1.0916    1.0608    1.0600
## 2016-12-26  -0.2418   1.5326    1.1438    1.0907    1.0603    1.0600
## 2016-12-27   0.0800   1.5384    1.1392    1.0903    1.0602    1.0600
## 2016-12-28  -0.4028   1.3019    0.9342    0.9900    1.0000    1.0300
## 2016-12-29  -0.3744   1.0900    0.8500    0.9701    0.9901    1.0095
## 2016-12-30  -0.4591   1.0047    0.5309    0.7204    0.7615    0.8993
## 2017-01-02  -0.3381   0.9889    0.5335    0.7211    0.7638    0.8983
## [1] "HSCEI Skews(100, 110)"

HSCEI Calendar

##            X30...91 X91...182 X91...365 X91...547
## 2016-12-06  -1.8765   -1.4437   -2.8932   -3.5496
## 2016-12-07  -1.9053   -1.4296   -3.1548   -3.7567
## 2016-12-08  -2.3475   -1.4020   -2.9468   -3.5614
## 2016-12-09  -2.4550   -1.4830   -3.1187   -3.7799
## 2016-12-12  -1.5252   -1.1545   -2.6491   -3.3033
## 2016-12-13  -1.8176   -1.3074   -2.8203   -3.5147
## 2016-12-14  -1.8386   -1.2804   -2.8002   -3.4156
## 2016-12-15  -0.8037   -0.8571   -2.1991   -2.8234
## 2016-12-16  -1.2858   -1.0206   -2.3710   -2.9464
## 2016-12-19  -0.9626   -0.8431   -2.1101   -2.6018
## 2016-12-20  -1.0631   -0.7069   -1.8701   -2.4356
## 2016-12-21  -1.9449   -1.0826   -2.3676   -2.9026
## 2016-12-22  -2.0625   -0.7177   -1.8590   -2.3735
## 2016-12-23  -1.8772   -0.7169   -1.9202   -2.3945
## 2016-12-26  -1.3475   -0.6634   -1.8628   -2.3285
## 2016-12-27  -1.1710   -0.6456   -1.8436   -2.3065
## 2016-12-28  -0.6096   -0.5665   -1.7326   -2.1426
## 2016-12-29  -0.5562   -0.7000   -1.8918   -2.2232
## 2016-12-30  -0.9675   -0.8460   -2.0430   -2.2575
## 2017-01-02  -0.9936   -0.8342   -2.0184   -2.2399
## [1] "HSCEI ATM Calendar"

SABR

Stoxx

Spx

HSCEI

## [1] "Rho"
##                    RHO      RHO.1      RHO.2      RHO.3
## 2016-12-01 -0.12023657 -0.1671449 -0.1937773 -0.2298822
## 2016-12-02 -0.14648612 -0.1897278 -0.2140929 -0.2430709
## 2016-12-05 -0.13980684 -0.2079852 -0.2316661 -0.2561752
## 2016-12-06 -0.12692900 -0.2107384 -0.2302418 -0.2580841
## 2016-12-07 -0.11268452 -0.1909378 -0.2118455 -0.2394009
## 2016-12-08 -0.08740626 -0.1735969 -0.1993133 -0.2316018
## 2016-12-09 -0.09471129 -0.1808831 -0.2039168 -0.2354164
## 2016-12-12 -0.13577013 -0.2331553 -0.2355700 -0.2569733
## 2016-12-13 -0.13730990 -0.2320330 -0.2349803 -0.2570729
## 2016-12-14 -0.15183004 -0.2365767 -0.2382783 -0.2587915
## 2016-12-15 -0.19285161 -0.2842528 -0.2803005 -0.2882094
## 2016-12-16 -0.19741442 -0.2524280 -0.2599881 -0.2995382
## 2016-12-19 -0.21062764 -0.2785646 -0.2781639 -0.3113846
## 2016-12-20 -0.23961448 -0.3004233 -0.2988741 -0.3232219
## 2016-12-21 -0.22244472 -0.2883899 -0.2923652 -0.3238697
## 2016-12-22 -0.27155796 -0.3266385 -0.3210174 -0.3437919
## 2016-12-23 -0.26879910 -0.3218638 -0.3189350 -0.3419752
## 2016-12-28 -0.24078710 -0.2899602 -0.2963004 -0.3300924
## 2016-12-29 -0.22210814 -0.2729072 -0.2888400 -0.3243564
## 2016-12-30 -0.21490968 -0.2144166 -0.2184678 -0.2796401

## [1] "Alpha"
##               ALPHA  ALPHA.1  ALPHA.2  ALPHA.3
## 2016-12-01 19.30992 20.15336 21.40514 22.38564
## 2016-12-02 19.60702 20.27566 21.52988 22.49014
## 2016-12-05 19.03120 20.05295 21.31010 22.33190
## 2016-12-06 18.30940 19.68170 21.06265 22.29223
## 2016-12-07 17.90693 19.24258 20.90133 22.17114
## 2016-12-08 18.19774 19.50128 20.97776 22.21788
## 2016-12-09 18.02165 19.41837 20.98228 22.22425
## 2016-12-12 18.50043 19.67500 21.05722 22.17383
## 2016-12-13 18.27937 19.60445 20.99710 22.23406
## 2016-12-14 18.32614 19.63981 21.03322 22.27697
## 2016-12-15 19.13953 20.07083 21.29187 22.42675
## 2016-12-16 18.86138 19.89867 21.13030 22.28086
## 2016-12-19 19.16442 20.11049 21.17887 22.28702
## 2016-12-20 19.29850 20.16846 21.14222 22.40115
## 2016-12-21 18.68898 19.92330 21.02026 22.17534
## 2016-12-22 19.35910 20.26148 21.19685 22.31022
## 2016-12-23 19.49097 20.41315 21.40609 22.44541
## 2016-12-28 19.59059 20.36392 21.29049 22.31140
## 2016-12-29 19.46375 20.37404 21.32956 22.28552
## 2016-12-30 19.36648 20.26634 21.19887 22.11059

## [1] "Vol"
##                 VOL     VOL.1     VOL.2     VOL.3
## 2016-12-01 1.375491 1.0749571 0.7783908 0.5320843
## 2016-12-02 1.350478 1.0876896 0.7770562 0.5314816
## 2016-12-05 1.367099 1.0725525 0.7706198 0.5297590
## 2016-12-06 1.381904 1.0528589 0.7703320 0.5336357
## 2016-12-07 1.385796 1.0674474 0.7655309 0.5268815
## 2016-12-08 1.384214 1.0644193 0.7683080 0.5301748
## 2016-12-09 1.397680 1.0653115 0.7665122 0.5281004
## 2016-12-12 1.390109 1.0453784 0.7571197 0.5207315
## 2016-12-13 1.391900 1.0431634 0.7592045 0.5250650
## 2016-12-14 1.393764 1.0352469 0.7568024 0.5239320
## 2016-12-15 1.351247 1.0200407 0.7497229 0.5199027
## 2016-12-16 1.392021 1.0541508 0.7730462 0.5246241
## 2016-12-19 1.343751 1.0195311 0.7646235 0.5213319
## 2016-12-20 1.367752 1.0167341 0.7604246 0.5192895
## 2016-12-21 1.399089 1.0225484 0.7626099 0.5206634
## 2016-12-22 1.338749 1.0010319 0.7574755 0.5209067
## 2016-12-23 1.367394 1.0020228 0.7570813 0.5201756
## 2016-12-28 1.352622 0.9776858 0.7580886 0.5223585
## 2016-12-29 1.378207 0.9686571 0.7552733 0.5174625
## 2016-12-30 1.381446 1.0089892 0.7804532 0.5318962

KOSPI200

## [1] "Rho"
##                   RHO      RHO.1      RHO.2      RHO.3
## 2016-12-02 -0.3261815 -0.2940644 -0.3869349 -0.2825322
## 2016-12-05 -0.3265761 -0.2937329 -0.3982408 -0.2831671
## 2016-12-06 -0.3143502 -0.2721362 -0.3896337 -0.2748800
## 2016-12-07 -0.2983293 -0.2594594 -0.3767705 -0.2736103
## 2016-12-08 -0.2658527 -0.2066781 -0.3220385 -0.2306033
## 2016-12-09 -0.2521235 -0.1906159 -0.3175226 -0.2318979
## 2016-12-12 -0.2497235 -0.1881262 -0.3197844 -0.2310671
## 2016-12-13 -0.2328478 -0.1927249 -0.3571674 -0.2272266
## 2016-12-14 -0.2333731 -0.1894648 -0.3584578 -0.2267451
## 2016-12-15 -0.2380970 -0.1906806 -0.3446186 -0.2342696
## 2016-12-16 -0.2389373 -0.1917371 -0.3461073 -0.2337105
## 2016-12-19 -0.2298111 -0.2026386 -0.3178882 -0.2323161
## 2016-12-20 -0.2413736 -0.2037496 -0.3113145 -0.2295453
## 2016-12-21 -0.2444486 -0.2047962 -0.3449401 -0.2372479
## 2016-12-22 -0.2485060 -0.2040642 -0.3745068 -0.2317274
## 2016-12-23 -0.2499879 -0.2175623 -0.3845653 -0.2377190
## 2016-12-26 -0.2418777 -0.2174308 -0.3856219 -0.2363388
## 2016-12-27 -0.2521363 -0.2470480 -0.3344358 -0.1831483
## 2016-12-28 -0.1787604 -0.1919437 -0.4153294 -0.2331247
## 2016-12-29 -0.1878145 -0.2195011 -0.4157538 -0.2323267

## [1] "Alpha"
##               ALPHA  ALPHA.1  ALPHA.2  ALPHA.3
## 2016-12-02 2.009692 2.092415 2.292302 2.414292
## 2016-12-05 2.013841 2.099551 2.302140 2.413181
## 2016-12-06 1.933037 2.026028 2.270191 2.442739
## 2016-12-07 1.886691 2.020549 2.264477 2.445212
## 2016-12-08 1.798825 1.971676 2.243932 2.441288
## 2016-12-09 1.877633 2.020662 2.272923 2.445835
## 2016-12-12 1.862655 2.049686 2.285094 2.452039
## 2016-12-13 1.873454 2.018206 2.296437 2.445072
## 2016-12-14 1.877495 2.040406 2.303450 2.445840
## 2016-12-15 1.841913 2.027500 2.290048 2.450202
## 2016-12-16 1.856441 2.028338 2.298535 2.451571
## 2016-12-19 1.889459 2.058916 2.311349 2.460289
## 2016-12-20 1.890750 2.056612 2.319408 2.479962
## 2016-12-21 1.905615 2.059072 2.323880 2.447444
## 2016-12-22 1.916994 2.060102 2.340286 2.494408
## 2016-12-23 1.923189 2.082375 2.352218 2.493476
## 2016-12-26 1.933208 2.086625 2.351888 2.492799
## 2016-12-27 1.918570 2.073047 2.353360 2.506579
## 2016-12-28 1.905137 2.066003 2.351793 2.507796
## 2016-12-29 1.859745 2.063228 2.361221 2.498188

## [1] "Vol"
##                 VOL     VOL.1     VOL.2     VOL.3
## 2016-12-02 1.258971 0.9918621 0.7355454 0.5033718
## 2016-12-05 1.257142 0.9954691 0.7335772 0.5036254
## 2016-12-06 1.280499 1.0048922 0.7298667 0.5000051
## 2016-12-07 1.299516 1.0058931 0.7426966 0.4985144
## 2016-12-08 1.321869 1.0021322 0.7409063 0.4931890
## 2016-12-09 1.312256 1.0044319 0.7410611 0.4944452
## 2016-12-12 1.297658 0.9907420 0.7401031 0.4938367
## 2016-12-13 1.299338 1.0106106 0.7277115 0.4937021
## 2016-12-14 1.315801 1.0077718 0.7240038 0.4926577
## 2016-12-15 1.327596 1.0097178 0.7339927 0.4902722
## 2016-12-16 1.329301 1.0129651 0.7352968 0.4925977
## 2016-12-19 1.298763 0.9946767 0.7428550 0.4919175
## 2016-12-20 1.285082 0.9900571 0.7482476 0.4917874
## 2016-12-21 1.274874 0.9888366 0.7254766 0.4958655
## 2016-12-22 1.269075 0.9902680 0.7335272 0.4952477
## 2016-12-23 1.267316 0.9832517 0.7246504 0.4918972
## 2016-12-26 1.274654 0.9831545 0.7148151 0.4903898
## 2016-12-27 1.298749 1.0083963 0.6276993 0.4271007
## 2016-12-28 1.296309 1.0066389 0.7479795 0.4847747
## 2016-12-29 1.303093 0.9949323 0.7371232 0.4821813