library("quantmod")
## Loading required package: xts
## Loading required package: zoo
## 
## Attaching package: 'zoo'
## The following objects are masked from 'package:base':
## 
##     as.Date, as.Date.numeric
## Loading required package: TTR
## Version 0.4-0 included new data defaults. See ?getSymbols.
library("tidyverse")
## ── Attaching packages ───────── tidyverse 1.2.1 ──
## ✔ ggplot2 3.1.1     ✔ purrr   0.3.2
## ✔ tibble  2.1.1     ✔ dplyr   0.8.1
## ✔ tidyr   0.8.3     ✔ stringr 1.4.0
## ✔ readr   1.3.1     ✔ forcats 0.4.0
## ── Conflicts ──────────── tidyverse_conflicts() ──
## ✖ dplyr::filter() masks stats::filter()
## ✖ dplyr::first()  masks xts::first()
## ✖ dplyr::lag()    masks stats::lag()
## ✖ dplyr::last()   masks xts::last()
usjp=read.table("d-fx-usjp-0711.txt", header=T)
ukus=read.table("d-fx-ukus-0711.txt", header = T)
#1
usjp.rate<-usjp[,4]
usjp.rtn=diff(log(usjp.rate))
usjp.rtn
##    [1]  6.291703e-03 -2.511933e-03 -4.284821e-03 -2.360281e-03
##    [5]  8.069305e-03  5.858476e-04  8.083041e-03 -1.079510e-03
##    [9]  2.323652e-03 -8.292562e-04  6.450035e-03 -8.246063e-04
##   [13]  2.800892e-03 -1.645413e-04 -6.355516e-03  1.654671e-03
##   [17]  4.618565e-03  2.301308e-03 -9.034537e-04 -5.603179e-03
##   [21] -2.896274e-03  2.896274e-03 -5.634751e-03  8.309444e-05
##   [25]  2.489628e-03  4.465770e-03  3.295167e-03  1.479290e-03
##   [29] -4.361967e-03 -3.635767e-03 -1.090360e-02 -2.178285e-03
##   [33]  7.270328e-03  7.383168e-03  2.558918e-03 -1.650165e-03
##   [37] -2.811546e-03 -1.745857e-02 -2.869200e-03 -6.783711e-03
##   [41] -6.059332e-03 -6.957894e-03  4.214879e-03 -7.728307e-04
##   [45]  8.042480e-03  6.794081e-03 -5.431567e-03 -4.691440e-03
##   [49] -5.401016e-03  7.962712e-03 -4.187503e-03  6.912765e-03
##   [53] -2.213709e-03  4.337664e-03 -3.395298e-04  2.546581e-04
##   [57]  1.697361e-04 -3.395009e-04 -8.268384e-03  7.843846e-03
##   [61] -1.614891e-03  1.105207e-03  9.639851e-03 -9.261209e-04
##   [65] -5.055186e-04  5.630504e-03 -4.190939e-04 -1.762115e-03
##   [69]  2.432581e-03 -3.104680e-03  2.350375e-03  4.767689e-03
##   [73] -7.370218e-03 -5.817156e-03  7.606813e-04  3.794751e-03
##   [77] -2.865815e-03  4.219587e-04  8.433837e-04  7.391265e-03
##   [81]  7.528546e-04 -1.255073e-03  2.759084e-03  2.335086e-03
##   [85]  2.329646e-03 -1.413780e-03 -1.665834e-03 -5.836982e-04
##   [89] -7.509700e-04  4.746647e-03 -1.496508e-03  1.496508e-03
##   [93] -1.246935e-03  4.316076e-03  4.627343e-03 -1.732745e-03
##   [97]  3.956158e-03 -8.229099e-04  4.115396e-04 -4.938678e-04
##  [101]  2.138335e-03  5.749251e-04 -2.548610e-03  2.302254e-03
##  [105]  2.788487e-03 -3.117056e-03 -1.891370e-03 -3.380471e-03
##  [109]  2.145038e-03  2.304907e-03  1.314708e-03 -1.642441e-04
##  [113]  4.997348e-03  4.891181e-03  4.705509e-03  9.707953e-04
##  [117] -2.266657e-03  1.700474e-03  6.470398e-04  3.309524e-03
##  [121] -2.016699e-03 -2.830229e-03 -7.885899e-03  3.991371e-03
##  [125]  3.084418e-03 -8.709509e-03  6.538085e-04  3.425499e-03
##  [129]  3.657203e-03  5.676980e-04 -9.367559e-03 -4.911591e-04
##  [133]  3.024979e-03 -4.171956e-03 -7.380377e-04  3.766483e-03
##  [137] -4.340889e-03  1.886097e-03 -7.483280e-03  1.319806e-03
##  [141] -6.118756e-03 -1.992529e-03 -9.938696e-03 -4.880111e-03
##  [145] -1.265983e-03  6.062155e-03 -3.531790e-03  5.376809e-03
##  [149] -7.738284e-03 -3.298519e-03  3.720620e-03  1.074557e-02
##  [153] -8.974688e-03 -5.830428e-03  3.975140e-03 -2.197060e-03
##  [157] -8.666154e-03 -2.733498e-02 -1.931180e-03  5.957092e-03
##  [161] -6.115941e-04  4.621362e-03  7.453666e-03  2.673222e-03
##  [165] -6.030064e-04 -1.170111e-02  7.123651e-03  2.507242e-03
##  [169]  1.726817e-04  0.000000e+00  3.275300e-03 -9.163273e-03
##  [173]  1.561958e-03 -1.537820e-02 -1.233480e-03  4.749349e-03
##  [177]  2.366243e-03  9.842856e-03 -5.202012e-04 -3.300906e-03
##  [181]  7.109446e-03  3.966206e-03 -1.762275e-02  1.235981e-02
##  [185] -5.899722e-03 -3.836099e-03  1.025472e-02  8.642296e-04
##  [189] -6.847858e-03  8.142803e-03 -6.904290e-04  7.825641e-03
##  [193] -1.285733e-03  2.056380e-03  0.000000e+00  1.283093e-03
##  [197]  1.622892e-03  4.598101e-03 -1.785639e-03 -1.106995e-03
##  [201] -6.496305e-03  8.575226e-05 -8.438869e-03 -4.246291e-03
##  [205] -9.423331e-03  5.071714e-03 -6.212015e-03  1.315617e-03
##  [209] -7.014468e-04  5.946673e-03  2.615405e-04  4.782826e-03
##  [213] -3.476148e-03 -1.132355e-03 -1.744592e-03 -2.619515e-04
##  [217] -1.071125e-02 -5.576469e-03 -1.574554e-02 -5.334310e-03
##  [221]  9.653194e-03 -5.401526e-03  2.434298e-03 -9.045742e-03
##  [225]  0.000000e+00 -1.381604e-02  0.000000e+00 -3.414705e-03
##  [229]  0.000000e+00  4.335600e-03  1.588929e-02 -3.994196e-03
##  [233]  9.775603e-03 -5.237978e-03 -6.905352e-03  1.061090e-02
##  [237]  1.802614e-03  6.015191e-03 -1.074691e-03  1.522138e-03
##  [241]  5.264814e-03 -8.903927e-04  9.662767e-03 -1.324211e-03
##  [245] -2.650528e-04  2.382950e-03 -4.151766e-03  8.637459e-03
##  [249]  4.378291e-03 -3.238090e-03 -7.015083e-04 -9.430291e-03
##  [253] -1.086193e-02 -1.815686e-02 -1.094491e-03 -1.101131e-02
##  [257]  6.621323e-03  1.740007e-03  1.005990e-03 -1.828321e-04
##  [261] -2.471510e-03 -8.560041e-03 -1.031368e-02  1.866194e-03
##  [265] -2.426733e-03 -1.777113e-03 -5.618504e-04 -1.263095e-02
##  [269]  1.188133e-02  5.888143e-03 -6.169397e-03  4.023774e-03
##  [273]  1.586339e-03 -4.766587e-03 -4.130686e-03  4.036996e-03
##  [277]  1.965649e-03 -1.778277e-03  6.555228e-04  4.856192e-03
##  [281] -6.542691e-03  7.287709e-03  6.772768e-03 -1.665742e-03
##  [285] -2.782417e-03 -1.580146e-03  4.362563e-03 -3.432763e-03
##  [289] -5.778747e-03  8.377597e-03 -1.391401e-03 -1.261051e-02
##  [293] -6.980502e-03 -1.382093e-02 -5.968443e-03 -8.727751e-03
##  [297]  1.277478e-02 -8.595350e-03 -3.984650e-03 -8.704637e-03
##  [301]  1.045595e-02 -4.774674e-03 -1.773795e-02 -3.785242e-03
##  [305] -3.369509e-02  1.383857e-02  1.123664e-02 -5.551925e-03
##  [309]  6.155729e-03  1.368858e-02 -6.970751e-03 -9.538704e-03
##  [313]  7.538103e-03 -1.603367e-03  1.403087e-03  1.904631e-02
##  [317]  9.778116e-03 -5.463961e-03 -4.510696e-03  8.514021e-03
##  [321] -6.823610e-04 -7.045728e-03 -1.179130e-03 -6.114417e-03
##  [325] -2.178650e-03  4.549958e-03  6.905737e-04  8.054262e-03
##  [329]  2.263372e-02 -1.134955e-02 -6.599403e-03  8.242471e-03
##  [333]  6.257541e-03 -2.879493e-04  1.247182e-03 -8.666400e-03
##  [337]  1.086915e-02 -4.698671e-03  1.232284e-02 -1.995724e-03
##  [341] -5.532781e-03  7.053694e-03 -1.348335e-02 -8.314046e-03
##  [345]  7.928875e-03  5.570510e-03  7.537844e-03 -5.624151e-03
##  [349] -7.195311e-03  6.621587e-03 -8.549113e-03 -3.091790e-03
##  [353]  6.654796e-03 -7.816686e-03  7.335940e-03  6.805029e-03
##  [357]  7.896906e-03 -5.687743e-04 -1.000628e-02  8.392992e-03
##  [361] -2.853340e-03  9.573987e-03 -6.340815e-03  6.906693e-03
##  [365]  1.059799e-02 -3.925973e-03  1.089853e-02 -1.853053e-04
##  [369]  2.498729e-03 -1.479974e-03  1.851166e-04 -9.259260e-04
##  [373] -4.921772e-03  4.365805e-03 -1.205657e-03  4.906282e-03
##  [377] -9.277365e-03 -9.458328e-03 -1.035538e-03 -4.152908e-03
##  [381]  1.323252e-03  8.652363e-03  7.091567e-03 -1.861331e-03
##  [385] -2.144823e-03 -8.405324e-04 -8.350192e-03  3.767898e-04
##  [389] -1.327285e-02 -1.337026e-03  1.121365e-02  8.750115e-03
##  [393] -9.368120e-05  3.460373e-03  5.307522e-03 -5.573618e-04
##  [397]  2.505686e-03 -3.714370e-03  6.491121e-03 -1.848771e-04
##  [401] -6.473390e-04 -4.729018e-03  5.930886e-03 -2.772259e-04
##  [405]  1.093811e-02  4.569757e-04  5.921759e-03 -9.083890e-05
##  [409] -2.729011e-03 -9.794577e-03  9.521266e-03  6.629457e-03
##  [413] -3.717982e-03 -3.549492e-03  2.731496e-03 -1.493180e-02
##  [417]  1.402213e-02 -7.032314e-03  6.577168e-03 -1.002050e-03
##  [421] -1.459322e-03 -7.972551e-03  1.470994e-03 -6.174281e-03
##  [425] -3.889974e-03 -7.451599e-03  8.842614e-03 -7.534569e-03
##  [429]  7.071112e-03 -1.118788e-02  7.937661e-03 -1.726284e-02
##  [433] -5.313610e-03 -3.812797e-03  1.336133e-03  2.197891e-02
##  [437] -7.774122e-03 -5.185022e-03  2.171554e-03  4.235101e-03
##  [441] -3.952202e-03 -9.092694e-03  7.960618e-03  1.132076e-03
##  [445] -7.191553e-03  4.358957e-03 -4.348091e-02  1.021821e-02
##  [449] -2.544314e-02  9.381306e-03 -1.229339e-02  2.708365e-02
##  [453] -6.874904e-03 -1.000355e-02  9.313453e-03  3.347448e-03
##  [457] -1.295957e-02 -1.808549e-02 -1.049798e-02 -5.215648e-02
##  [461]  6.884709e-03  2.540357e-02  1.863794e-02 -1.025904e-04
##  [465]  8.275909e-03  6.794124e-03  1.534403e-02 -1.534403e-02
##  [469] -9.239113e-03  1.121362e-03 -1.937689e-03 -2.501422e-02
##  [473]  4.282214e-03  7.372444e-03  3.820543e-03  3.600642e-03
##  [477] -6.490519e-03 -1.846399e-02  4.621857e-03  1.322178e-02
##  [481] -1.206965e-02 -7.330227e-04  0.000000e+00 -1.850240e-02
##  [485] -7.472645e-04 -4.173584e-03 -5.052959e-03 -6.487912e-03
##  [489]  6.380124e-03 -3.563526e-03  5.394338e-03 -1.060042e-02
##  [493] -7.641124e-03 -6.375750e-03 -7.749402e-03 -2.407045e-02
##  [497]  2.217935e-02 -3.681191e-03  6.572009e-03  5.535887e-03
##  [501]  1.213793e-03 -3.308884e-04 -4.976510e-03  1.882927e-03
##  [505]  4.636793e-03  3.628172e-03  2.257040e-02  1.067246e-02
##  [509] -1.605171e-02 -1.686197e-02 -9.922904e-03 -1.484651e-02
##  [513]  8.176111e-03 -4.135701e-03  3.466208e-03  7.783006e-03
##  [517] -1.108156e-03 -2.685706e-02  9.521722e-03  9.021200e-04
##  [521]  5.956078e-03 -2.917417e-03 -1.349376e-03  1.007622e-02
##  [525]  6.681515e-04  3.339084e-04 -8.605809e-03  4.926670e-03
##  [529]  1.639563e-02  1.027556e-02 -5.233901e-03 -9.005112e-03
##  [533]  1.103083e-04 -1.214061e-03  1.414575e-02  3.586765e-03
##  [537]  1.763676e-02  2.980311e-03 -2.340925e-03  8.063704e-03
##  [541]  2.060419e-02  7.528525e-03  1.245677e-02 -8.253142e-03
##  [545] -5.848870e-03  1.013678e-02  1.194951e-02 -1.032084e-02
##  [549] -4.485227e-03  1.006362e-02 -4.866683e-03 -6.628281e-03
##  [553]  1.226994e-03  1.837673e-03  1.325111e-03  6.902880e-03
##  [557] -7.820077e-03 -4.408571e-02  2.452367e-02  1.157755e-02
##  [561]  5.738897e-03 -1.636327e-03  7.850374e-03 -4.886501e-03
##  [565] -5.628629e-03  1.739705e-02 -2.221326e-03  5.544090e-03
##  [569]  4.613387e-03  7.079146e-03  5.959476e-04 -7.575039e-03
##  [573]  4.790906e-03 -1.295272e-03 -1.796228e-03 -1.044186e-02
##  [577]  2.922653e-03 -8.053962e-04 -8.060454e-04 -9.316523e-03
##  [581]  3.148969e-03 -4.676231e-03 -2.652792e-03 -8.206858e-03
##  [585] -5.267247e-03 -8.287579e-04  4.962276e-03  1.829101e-02
##  [589]  4.848494e-03 -1.209922e-03 -3.638573e-03 -1.621403e-03
##  [593]  4.048589e-03  1.010050e-04 -1.588143e-02 -8.864210e-03
##  [597] -8.734588e-03 -1.358625e-03 -7.663677e-03  1.215056e-02
##  [601]  5.204268e-04 -9.829631e-03 -1.998633e-03 -5.490458e-03
##  [605]  3.804295e-03  2.107260e-03  1.825154e-02 -1.258402e-02
##  [609]  1.020417e-02 -8.426578e-03  0.000000e+00  6.767687e-03
##  [613]  1.860758e-02  3.862971e-03 -9.788006e-03  5.415637e-03
##  [617] -3.061852e-03  3.469391e-03 -1.427115e-03 -1.822069e-02
##  [621] -6.357168e-03  7.395482e-03 -2.181706e-03 -2.603490e-03
##  [625] -6.066330e-03  6.292606e-04  8.664390e-03 -1.065841e-02
##  [629]  6.805240e-03  6.033515e-03 -1.037183e-04 -5.303949e-03
##  [633]  5.212406e-04 -9.950331e-03  1.157225e-03 -2.351047e-02
##  [637] -1.184770e-03 -4.969760e-03  4.430763e-03  3.122143e-03
##  [641]  1.132975e-02 -5.328231e-03  5.221944e-03  4.665968e-03
##  [645] -1.234846e-02  4.381987e-03  1.039687e-02  1.160276e-03
##  [649]  4.837532e-03 -7.582176e-03  5.586901e-03  5.660392e-03
##  [653] -1.188174e-02  7.271993e-03  1.888377e-03 -4.517052e-03
##  [657]  6.087979e-03  2.163533e-02 -4.310352e-03 -1.335631e-02
##  [661]  2.290475e-03 -7.306159e-03 -8.627092e-03 -3.280947e-03
##  [665]  4.125898e-03 -9.014325e-03  2.659718e-03  5.086912e-03
##  [669] -1.375152e-03 -2.013246e-03 -3.182517e-04 -7.241007e-03
##  [673] -2.137666e-04 -7.833919e-03  2.904633e-03 -7.115166e-03
##  [677]  1.189382e-03  2.266718e-03 -5.839117e-03 -3.911773e-03
##  [681]  1.088672e-04 -1.712822e-02  6.072334e-03  1.100110e-03
##  [685]  5.496016e-04  1.646995e-03  1.753810e-03  6.114224e-03
##  [689] -8.636293e-03  4.054134e-03 -3.176170e-03 -1.469721e-02
##  [693] -5.469679e-03  1.024508e-02 -8.567507e-03  2.678274e-03
##  [697] -1.226652e-03 -6.697176e-04 -8.860037e-03 -1.126570e-04
##  [701] -3.611742e-03  1.403492e-02  2.229654e-04 -3.014236e-03
##  [705]  1.056563e-02  3.754421e-03 -1.102232e-04  1.211788e-03
##  [709]  2.309343e-03  4.165303e-03  5.019105e-03  8.703221e-04
##  [713]  8.695653e-04 -1.059482e-02  3.726440e-03 -1.000503e-02
##  [717]  6.627637e-04 -2.875154e-03  7.282389e-03 -5.622638e-03
##  [721] -6.544308e-03  6.674825e-04 -1.112718e-03  6.436600e-03
##  [725] -9.447139e-03 -3.019630e-03  1.455034e-03 -5.593780e-04
##  [729] -4.598741e-03 -5.622716e-04  2.696025e-03 -6.302069e-03
##  [733] -1.055449e-02 -8.938863e-03 -8.671076e-03  5.789063e-03
##  [737]  5.870520e-03  1.220571e-02  1.875722e-02 -4.796172e-03
##  [741] -1.158292e-02 -6.581957e-03  4.203835e-03  1.161034e-02
##  [745] -6.521273e-03  1.411314e-02 -4.347106e-03  9.228953e-03
##  [749]  1.327287e-03  5.291601e-03  7.885267e-03 -1.637644e-03
##  [753]  1.855794e-03 -1.309615e-03  4.141244e-03  7.691929e-03
##  [757]  4.522458e-03 -5.710299e-03 -1.162867e-02  1.141255e-02
##  [761]  8.394367e-03 -6.558811e-03 -8.667443e-03 -1.039112e-02
##  [765]  4.716731e-03 -3.837514e-03 -2.639975e-03  3.737911e-03
##  [769]  1.096732e-03 -1.080019e-02 -1.996451e-03  5.549698e-04
##  [773] -5.452030e-03 -2.457553e-03  7.465632e-03  3.324840e-03
##  [777]  4.636282e-03 -4.525644e-03  7.933926e-03 -2.219601e-02
##  [781]  1.569859e-03  7.840063e-04  1.454383e-03  4.795637e-03
##  [785] -6.677797e-04  2.002003e-03  5.098094e-03  3.641383e-03
##  [789]  7.024505e-03  5.562538e-03 -9.068623e-03 -1.181355e-02
##  [793]  2.220988e-04 -1.352656e-02 -1.125556e-04  4.940500e-03
##  [797] -3.703085e-03 -5.863136e-03  6.649785e-03  1.449786e-02
##  [801] -2.214594e-04 -4.550760e-03  8.088239e-03 -2.207262e-04
##  [805] -1.546449e-03 -1.105522e-04 -2.211411e-04 -1.105889e-04
##  [809]  4.422822e-04  4.420867e-04 -5.317983e-03  2.440920e-03
##  [813]  1.811942e-02  8.668382e-03 -1.403509e-03  9.718698e-04
##  [817]  2.587045e-03  5.475348e-03  4.593289e-03  7.221015e-03
##  [821] -2.436571e-03 -4.997618e-03 -2.347920e-03 -4.605095e-03
##  [825]  1.287278e-03 -7.507105e-04 -4.623913e-03  2.475915e-03
##  [829]  3.224940e-04 -1.091490e-02  1.628576e-03  1.186254e-02
##  [833] -4.289084e-04 -2.469800e-03  1.250083e-02 -1.274968e-03
##  [837] -1.122586e-02  1.133217e-02  9.562770e-04  8.492570e-04
##  [841]  4.658065e-03 -1.056747e-03 -2.964848e-03 -2.230416e-02
##  [845] -5.981855e-03  1.858910e-02 -6.014410e-03  1.076658e-03
##  [849] -2.478049e-03 -8.232282e-03  1.521574e-03  4.767073e-03
##  [853] -1.480863e-02 -1.202906e-02  1.553140e-03  3.099062e-03
##  [857] -6.652647e-03  4.329251e-03  4.751653e-03  1.101807e-03
##  [861]  3.846793e-03  1.145238e-02  1.300531e-03 -5.430074e-03
##  [865]  1.849535e-03 -7.637789e-03  2.625248e-03 -5.477065e-03
##  [869]  7.441488e-03  8.718396e-04 -6.009305e-03  1.533071e-03
##  [873] -5.156064e-03 -1.430852e-03  4.286427e-03 -6.491743e-03
##  [877] -8.536164e-03 -4.686985e-03 -5.594406e-04 -1.343936e-03
##  [881] -9.458465e-03  1.130710e-03 -1.216546e-02  3.083778e-03
##  [885] -1.597809e-03 -4.464549e-03  1.457885e-02  4.521818e-04
##  [889]  5.649398e-04 -3.281103e-03  3.958609e-03 -1.340929e-02
##  [893] -1.162202e-02  4.273264e-03  5.172723e-03  9.168004e-04
##  [897] -3.442344e-03  3.556885e-03 -1.260673e-03  7.767917e-03
##  [901] -2.962965e-03 -8.596534e-03 -5.077911e-03 -1.157073e-04
##  [905] -6.268157e-03  4.415018e-03 -4.997395e-03 -6.780480e-03
##  [909]  7.362857e-03  0.000000e+00 -6.073366e-03  5.490989e-03
##  [913]  4.301582e-03 -1.014409e-02  2.107236e-03 -2.341647e-03
##  [917] -4.689882e-04  4.212996e-03 -5.503849e-03 -1.181209e-02
##  [921]  4.741593e-03  5.911214e-04  5.774573e-03 -5.065688e-03
##  [925] -6.754781e-03  4.508253e-03 -3.913899e-03  3.558723e-03
##  [929] -8.323473e-03  1.193318e-03 -2.385496e-04  3.572283e-03
##  [933] -7.157373e-03 -5.763013e-03  3.059285e-02  1.050482e-03
##  [937]  5.831244e-04 -3.498338e-04 -4.441854e-03 -1.166572e-02
##  [941] -5.928034e-04 -9.492170e-04 -8.313046e-04 -4.166921e-03
##  [945] -2.508512e-03 -9.572814e-04 -2.757300e-03  3.600792e-04
##  [949] -1.921923e-03 -4.458644e-03 -5.449605e-03 -5.967986e-03
##  [953] -1.466993e-03  8.560074e-04 -4.532933e-03 -1.474564e-03
##  [957] -1.969474e-03  5.406747e-03 -5.653204e-03  2.464572e-04
##  [961]  3.935076e-03 -1.073488e-02  8.277273e-03  3.316345e-03
##  [965] -6.890639e-03 -6.316984e-03  2.234083e-03  1.734176e-03
##  [969]  7.521150e-03 -9.875404e-03  9.138122e-03 -2.584776e-03
##  [973]  1.232362e-04  1.686257e-02 -1.091108e-03  5.564306e-03
##  [977]  6.133144e-03 -3.122001e-03  5.875669e-03 -1.795010e-03
##  [981] -3.593890e-04 -7.215039e-03  6.256036e-03  8.360254e-03
##  [985]  3.087522e-03 -9.291312e-03  5.251862e-03 -5.610950e-03
##  [989] -9.623556e-03 -3.626912e-04  4.102817e-03  1.339733e-02
##  [993] -3.690261e-03  2.384927e-04 -3.583377e-03 -5.984799e-04
##  [997]  6.206752e-03  2.258276e-03 -9.502317e-04 -5.123023e-03
## [1001]  4.776690e-04 -2.390630e-03 -7.085840e-03 -7.234145e-04
## [1005] -8.478733e-03 -3.777958e-03 -2.812253e-03 -1.347792e-03
## [1009]  4.892378e-03  1.525638e-02 -8.414979e-04 -1.323786e-03
## [1013] -3.135933e-03  6.982092e-03 -8.400841e-04 -6.867083e-03
## [1017]  3.258708e-03 -3.984310e-03 -7.650775e-03  1.199651e-02
## [1021] -4.708732e-03 -2.302055e-03 -1.092299e-03 -9.719354e-04
## [1025]  9.195467e-03 -1.211695e-02 -7.317073e-04 -5.995735e-03
## [1029]  4.164121e-03 -4.164121e-03  6.239697e-03  4.988148e-03
## [1033] -5.842276e-03  6.691430e-03  7.730441e-03  4.921093e-03
## [1037] -2.397508e-03  5.625052e-03 -7.163324e-04 -5.749207e-03
## [1041] -3.604253e-04 -3.370249e-03 -6.653384e-03 -8.777333e-03
## [1045]  1.101389e-03  2.199146e-03 -9.768011e-04 -2.936141e-03
## [1049]  9.632459e-03 -7.283322e-04 -2.796864e-03  6.917084e-03
## [1053]  1.087811e-03  2.413129e-03 -1.468919e-02 -1.468609e-03
## [1057] -1.021736e-02 -8.075080e-03 -1.799809e-02  3.002477e-02
## [1061] -3.697997e-04 -1.357103e-03 -7.410152e-04 -1.483680e-03
## [1065]  3.705080e-03  6.757198e-03  8.655952e-03  7.256926e-03
## [1069] -2.654762e-03  1.546701e-02 -8.331846e-04  7.946433e-03
## [1073]  7.180303e-03 -3.289477e-03  1.176678e-04 -4.835770e-03
## [1077] -9.384163e-03 -2.389773e-03 -4.316036e-03 -1.202212e-03
## [1081] -8.456199e-03 -2.426595e-04  2.060732e-03 -9.368035e-03
## [1085]  1.343676e-03  1.220629e-04  0.000000e+00  8.144456e-03
## [1089] -1.254813e-02 -3.192537e-03 -9.843732e-04 -2.588599e-03
## [1093] -4.081386e-03 -7.089141e-03  4.855890e-03  1.861389e-03
## [1097]  1.115173e-03  3.714480e-04 -3.714480e-04  1.238313e-04
## [1101]  7.426662e-04  7.027956e-03 -2.457606e-04  5.026060e-03
## [1105] -1.713377e-03  2.080148e-03  3.782107e-03 -1.950269e-03
## [1109] -6.364771e-03 -8.508591e-03  6.665046e-03 -5.798548e-03
## [1113]  1.977751e-03 -7.436822e-03 -2.366570e-03  2.493766e-04
## [1117] -4.247882e-03  2.500939e-03  2.370113e-03 -1.246728e-03
## [1121]  4.232547e-03  2.605299e-03 -1.239081e-04 -7.462721e-03
## [1125]  1.995511e-03 -1.371486e-03 -1.123525e-03  4.859520e-03
## [1129] -1.617217e-03  7.071551e-03 -4.946210e-04 -6.186205e-04
## [1133] -1.982161e-03  2.105916e-03  4.075338e-03 -2.962234e-03
## [1137]  4.440066e-03 -7.659086e-03 -3.353832e-03 -1.050666e-02
## [1141] -6.813047e-03  1.518027e-03 -1.011762e-03  8.853476e-04
## [1145] -2.404912e-03 -1.902709e-03 -3.688868e-03 -3.823848e-04
## [1149] -1.658693e-03 -3.453793e-03 -6.409024e-04 -1.539844e-03
## [1153] -8.900413e-03 -4.024673e-03  3.376627e-03 -3.376627e-03
## [1157]  2.745874e-02 -6.730611e-03 -1.217886e-02 -4.783770e-03
## [1161] -9.767610e-03  3.527341e-03  1.433505e-03 -7.816572e-04
## [1165]  3.909049e-04 -3.915943e-03  7.844163e-04 -7.844163e-04
## [1169]  4.046211e-03 -2.347419e-03  2.477670e-03  7.784160e-03
## [1173] -9.870210e-03  4.427667e-03 -2.732420e-03 -3.262646e-03
## [1177]  4.044099e-03 -2.604167e-04  8.945415e-03 -1.162265e-03
## [1181]  5.167291e-04 -1.550989e-03 -2.071735e-03 -3.505814e-03
## [1185] -2.213687e-03 -1.303696e-04  2.474121e-03 -5.346560e-03
## [1189]  5.228758e-04 -1.831263e-03 -9.168905e-04 -1.310530e-04
## [1193]  6.550934e-04  3.269045e-03 -1.175626e-03  2.219467e-03
## [1197]  4.683849e-03 -4.944708e-03  2.605525e-03  0.000000e+00
## [1201] -2.866451e-03  1.694805e-03 -1.433879e-03  8.313896e-03
## [1205] -5.448191e-03  6.224086e-03 -7.265211e-03 -6.512537e-04
## [1209]  5.210369e-04  1.561484e-03 -1.058764e-02  0.000000e+00
## [1213] -2.895120e-03  2.237874e-03 -3.292726e-03 -1.055966e-03
## [1217]  2.928181e-02  3.968005e-03 -3.070627e-03 -1.025641e-03
## [1221]  2.690068e-03 -1.408180e-03 -3.464874e-03 -2.571355e-04
## [1225] -2.446091e-03 -7.244534e-03 -3.895851e-04  3.895851e-04
## [1229] -5.194805e-04 -6.497304e-04  5.198181e-04  1.298364e-03
## [1233]  4.401871e-03  3.224353e-03  5.009323e-03 -2.437305e-03
## [1237] -3.602680e-03
ukus.rate<-ukus[,4]
ukus.rtn=diff(log(ukus.rate))
ukus.rtn
##    [1] -1.213248e-02 -2.824788e-03 -7.122978e-03  4.135441e-03
##    [5]  7.734949e-04 -3.407862e-03  5.416153e-03  7.074050e-03
##    [9]  1.429228e-03  5.848713e-03 -2.535818e-04  2.229316e-03
##   [13]  6.577117e-04  3.786067e-03 -8.704068e-03  1.422114e-03
##   [17] -5.343388e-03 -3.062006e-04  1.275218e-03 -3.059039e-04
##   [21]  3.817090e-03 -1.219884e-03 -3.158273e-03  4.733676e-03
##   [25]  3.046304e-04 -5.752848e-03 -3.785364e-03 -1.949418e-03
##   [29] -1.593134e-03  9.470010e-03 -4.902972e-03 -1.690964e-03
##   [33]  2.458640e-03 -1.177344e-03  2.404401e-03  3.468506e-03
##   [37] -4.074357e-04  1.527029e-03 -2.444366e-03 -1.735048e-03
##   [41] -6.199267e-03 -1.152676e-02  1.817946e-03  2.332514e-03
##   [45] -7.769002e-04  9.322078e-04 -1.398638e-03  1.605677e-03
##   [49]  7.760160e-04  1.446954e-03  2.990618e-03  1.903146e-03
##   [53]  6.147560e-03  8.168267e-04  3.870841e-03 -2.035417e-03
##   [57]  3.153133e-03 -1.524468e-03 -2.698920e-03  8.155360e-04
##   [61]  2.950755e-03  5.117693e-03 -2.527359e-04 -1.264638e-03
##   [65] -2.432598e-03 -2.692886e-03 -2.394113e-03  5.594278e-03
##   [69]  3.442693e-03 -8.595627e-04  3.030458e-03  3.925916e-03
##   [73]  7.706203e-03 -9.974566e-04 -5.989519e-04  8.982933e-04
##   [77] -1.497604e-03  5.493820e-04  6.987772e-04 -6.959597e-03
##   [81]  4.111518e-03  7.502814e-04 -3.500613e-04 -4.160094e-03
##   [85] -1.608526e-03  2.662716e-03  6.520376e-04 -2.108117e-03
##   [89]  3.060331e-03 -6.533343e-03 -4.538921e-04 -1.059884e-03
##   [93]  2.974917e-03 -4.440415e-03 -1.315723e-03  3.544035e-04
##   [97] -3.041827e-03  3.699672e-03  5.599429e-03 -1.359140e-03
##  [101] -3.526715e-04 -1.563328e-03 -3.387177e-03  2.528830e-03
##  [105]  3.535264e-04  5.940711e-03  9.532650e-04 -1.304697e-03
##  [109] -5.892294e-03 -7.147414e-03  1.474214e-03  3.245768e-03
##  [113] -1.114545e-03 -1.623377e-03  3.497127e-03  2.879735e-03
##  [117]  3.122956e-03  2.661914e-03 -6.522666e-04  2.556456e-03
##  [121] -6.510254e-04  1.751796e-03 -1.601522e-03  2.850928e-03
##  [125]  2.045654e-03  4.872722e-03  3.471447e-04 -2.681100e-03
##  [129]  2.485522e-04  2.333376e-03  4.058005e-03  3.549599e-03
##  [133] -1.576044e-03  2.756450e-03  1.473550e-03  3.967773e-03
##  [137]  3.854697e-03 -2.145087e-03  3.702265e-03  9.234284e-04
##  [141]  1.989761e-03 -5.591088e-03 -1.121979e-03 -9.711195e-03
##  [145] -2.566129e-03  6.206611e-03 -2.704498e-03  1.820195e-03
##  [149]  3.924267e-03 -6.532600e-03 -4.494390e-03  8.183432e-03
##  [153] -4.773749e-03 -2.568537e-03 -4.759317e-03 -6.131166e-03
##  [157] -3.857430e-03 -4.729331e-03 -5.043246e-05  1.008624e-04
##  [161] -8.576546e-04  5.185141e-03  5.957315e-03  3.189318e-03
##  [165]  1.739866e-03 -3.432925e-03  5.814114e-03 -1.090675e-03
##  [169]  2.479851e-04  0.000000e+00 -2.780952e-03  5.554192e-03
##  [173]  1.037985e-03  2.023443e-03  2.464815e-04  1.526831e-03
##  [177] -2.461054e-04 -1.773749e-03 -1.045988e-02 -7.352423e-03
##  [181]  2.657109e-03  5.005506e-04  7.428677e-03  3.767977e-03
##  [185]  6.925551e-04 -2.624349e-03 -4.959334e-04  3.762940e-03
##  [189]  7.581761e-03  2.302512e-03 -9.301643e-04 -2.353750e-03
##  [193]  1.128530e-03  2.155384e-03  0.000000e+00 -5.151237e-03
##  [197]  4.955484e-03 -4.414585e-03 -9.832358e-05  3.876449e-03
##  [201] -4.515788e-03  2.947391e-03  3.427679e-03  1.318971e-03
##  [205] -1.005823e-02  1.059509e-02 -1.951886e-04 -2.928544e-04
##  [209]  1.414669e-03  4.620294e-03  3.003878e-03  5.114854e-03
##  [213]  1.971391e-03  9.606609e-05 -1.009155e-03  2.880601e-03
##  [217]  8.877492e-03  2.799594e-03 -9.187260e-03 -8.741650e-03
##  [221] -6.922453e-03 -5.015959e-03 -1.464736e-04 -9.766102e-05
##  [225]  8.461028e-03 -3.249512e-03  0.000000e+00 -1.020681e-03
##  [229]  5.673430e-03 -1.354817e-03  1.693235e-03 -2.225987e-03
##  [233] -3.639986e-03  4.414804e-03 -3.928706e-03 -1.414437e-02
##  [237]  4.928901e-05  0.000000e+00  8.246255e-03 -3.427679e-03
##  [241]  5.234718e-03 -4.842388e-03 -9.755694e-03 -1.436889e-03
##  [245] -1.389303e-03 -1.043158e-02 -5.534327e-03  6.052353e-04
##  [249] -2.979274e-03  2.979274e-03  3.724212e-03  1.104529e-03
##  [253] -4.324657e-03 -9.579752e-04 -4.600964e-03  1.215498e-03
##  [257] -2.736951e-03  1.420095e-03 -8.499860e-03  5.111299e-05
##  [261]  1.379064e-03 -4.594767e-04  4.483627e-03 -1.679005e-03
##  [265]  5.383183e-03 -1.094911e-02  2.454867e-03 -3.172007e-03
##  [269]  1.110896e-02  3.490582e-03  2.773647e-03  0.000000e+00
##  [273]  1.157611e-03  7.542427e-04 -1.050992e-02  4.561127e-03
##  [277] -7.664429e-03 -1.121591e-03 -9.430164e-03  2.725428e-03
##  [281]  6.673683e-04  6.955127e-03 -2.038736e-04  4.577133e-03
##  [285] -4.832033e-03 -5.214203e-03 -5.447644e-03  1.071283e-02
##  [289]  2.749353e-03  0.000000e+00  4.008632e-03  8.873262e-03
##  [293] -2.210945e-03 -7.548499e-04 -7.050411e-04  2.014910e-04
##  [297]  4.272115e-03  6.698016e-03  2.736252e-03  1.886137e-03
##  [301] -6.217843e-03  8.446835e-03  4.935601e-03 -8.373354e-04
##  [305] -1.419308e-02  1.034218e-02 -1.786742e-02 -1.764069e-03
##  [309]  1.513279e-04  1.310550e-03  7.277505e-03  1.099560e-03
##  [313]  3.888728e-03 -1.035346e-02 -1.761228e-03 -4.087921e-03
##  [317]  2.676702e-03  6.735725e-03 -7.016137e-04 -4.622892e-03
##  [321] -8.344972e-03  1.826670e-03  8.107835e-04 -1.774443e-03
##  [325]  5.515790e-03 -9.583523e-03  6.551073e-03  7.664418e-03
##  [329]  2.859080e-03 -7.642453e-03  9.093941e-03 -1.045761e-02
##  [333] -3.544128e-03  5.916728e-03  3.774444e-03 -8.120080e-03
##  [337]  5.051281e-03 -4.950005e-03  3.543855e-04 -3.905165e-03
##  [341]  3.449504e-03 -1.145955e-02  1.075131e-03 -2.920907e-03
##  [345]  6.649301e-03 -7.470740e-03 -9.763368e-04  1.900409e-03
##  [349]  4.709746e-03 -5.531101e-03  1.189487e-02 -1.828618e-03
##  [353]  5.880283e-03  1.666541e-03 -3.386493e-03  2.780799e-03
##  [357] -2.375838e-03  1.719256e-03 -6.437083e-03 -8.139180e-04
##  [361] -5.204359e-03  7.670477e-04  6.724769e-03  3.193676e-03
##  [365] -1.094131e-02  5.256589e-03 -9.153031e-03  1.488592e-03
##  [369]  7.206225e-03 -4.747208e-03  1.329447e-03  8.091853e-03
##  [373]  4.054123e-04 -6.506402e-03  4.985258e-03 -1.777598e-03
##  [377]  1.016572e-02  3.265432e-03 -1.606265e-03  1.204940e-03
##  [381] -2.509095e-04 -5.031457e-03 -6.477428e-03 -6.094155e-04
##  [385]  6.430890e-03 -1.768168e-03  5.948798e-03  1.506781e-03
##  [389]  5.555431e-03 -2.048413e-03  2.148229e-03 -2.648479e-03
##  [393] -3.002702e-04 -1.903808e-03  4.003809e-03 -9.484928e-03
##  [397]  2.417406e-03  3.164003e-03 -6.943773e-03  2.524296e-04
##  [401] -2.019386e-04 -3.185924e-03 -6.963356e-03 -3.781496e-03
##  [405] -2.717184e-03 -2.055605e-03 -1.273573e-02 -2.556279e-03
##  [409] -7.287248e-03 -1.714161e-02  1.764848e-03 -3.425577e-03
##  [413]  1.178866e-03 -9.644236e-04 -2.791349e-03  8.297470e-03
##  [417] -1.147404e-02  2.316125e-03 -1.081852e-02 -3.759710e-03
##  [421] -2.952274e-03 -4.059917e-03 -1.870043e-02 -3.254042e-03
##  [425] -5.974542e-03 -1.130710e-04 -8.174897e-03  7.326456e-03
##  [429] -7.098471e-03 -2.853557e-03  2.254779e-02 -1.062254e-03
##  [433] -4.204160e-03  5.210534e-03  1.613072e-02  6.085045e-03
##  [437]  1.016838e-02  3.995470e-03 -3.022129e-03 -5.202136e-03
##  [441] -3.260338e-04 -1.953745e-02 -1.339007e-02  0.000000e+00
##  [445] -8.404122e-03  4.802948e-03 -2.050186e-02  1.212413e-02
##  [449] -1.615988e-02 -4.922552e-03 -1.097437e-02  2.578433e-02
##  [453] -2.864183e-03 -1.090133e-02  3.704780e-03 -1.004625e-02
##  [457] -1.748595e-02 -4.017383e-02  4.326997e-04 -3.458159e-02
##  [461] -1.022418e-02  7.661886e-03  4.434858e-02 -1.719480e-03
##  [465] -6.474510e-03 -1.936350e-02  1.502376e-02  3.782833e-03
##  [469] -2.139587e-02 -1.645466e-03 -9.482363e-03 -4.091791e-02
##  [473] -1.429027e-02  4.113428e-03  1.137516e-02  7.980846e-04
##  [477]  3.517275e-03 -2.047990e-02  1.824017e-03  2.407345e-02
##  [481]  1.126920e-02 -8.571388e-03  8.506235e-03 -3.365893e-02
##  [485]  7.318170e-03 -1.116654e-02  5.410158e-04 -1.258648e-02
##  [489]  1.528718e-02 -3.715342e-03  3.647913e-03  8.259792e-03
##  [493] -5.297226e-03  2.679916e-02  2.745279e-03  8.902811e-03
##  [497] -2.316858e-02 -1.662421e-02 -3.304228e-03 -2.976394e-03
##  [501] -5.979497e-03  1.838424e-03 -7.442594e-03 -1.352398e-02
##  [505]  1.544113e-02 -6.795043e-03  5.631496e-03  1.191341e-02
##  [509]  3.176985e-02 -4.204447e-03  3.220615e-03 -2.740809e-02
##  [513] -2.037202e-02  6.107413e-03 -1.026729e-03  9.202833e-03
##  [517] -4.966250e-02 -2.126130e-02  8.125407e-03 -1.323752e-02
##  [521]  2.187067e-02  1.337717e-02  1.187437e-02 -3.848985e-03
##  [525]  1.053192e-02 -1.291872e-02  1.159960e-02  5.404295e-03
##  [529]  1.106350e-02  9.657311e-03  1.083784e-02 -2.247894e-02
##  [533] -1.636155e-02 -8.317364e-03  1.213827e-02 -1.382414e-02
##  [537]  7.730420e-04  5.045207e-03  1.815643e-03  1.523259e-02
##  [541] -1.001355e-02 -9.974623e-03  5.383311e-03 -4.612490e-03
##  [545] -2.030850e-02  3.211650e-03  7.666136e-03 -1.273615e-03
##  [549] -9.917122e-04 -2.533598e-02  6.015165e-03 -4.344685e-03
##  [553]  2.247111e-03  1.158995e-02  8.480969e-03 -5.194078e-03
##  [557] -3.143758e-03  4.272658e-02 -1.026922e-02  4.216936e-03
##  [561]  1.601348e-02 -9.892627e-03 -6.051872e-03 -1.193547e-02
##  [565] -1.243299e-02  1.068627e-02  7.107549e-03  2.048041e-02
##  [569]  6.847252e-03 -6.031259e-03  2.172733e-03 -3.533092e-03
##  [573] -4.707496e-03  8.202885e-04  1.330366e-02  5.111317e-03
##  [577]  5.552411e-03 -5.418255e-03 -8.825469e-03 -1.678647e-02
##  [581]  1.067772e-02 -1.315808e-02  9.543171e-03  4.227471e-03
##  [585] -1.293617e-03 -4.848908e-03  1.326144e-02 -2.026959e-04
##  [589]  5.525621e-03  6.964469e-03  7.578816e-03 -2.387111e-03
##  [593] -2.925339e-03  4.716207e-03  3.638172e-03  6.253106e-03
##  [597] -4.933409e-03  1.976285e-03  1.775323e-03  5.699141e-03
##  [601]  1.246365e-02  1.084352e-02  5.917365e-03  8.150416e-03
##  [605]  2.890357e-03  8.123522e-03 -6.994782e-03  1.270412e-02
##  [609]  1.766484e-02  4.065170e-03 -6.682892e-03 -1.424298e-02
##  [613] -9.692527e-03 -2.563062e-03  1.805092e-02  4.110309e-03
##  [617]  1.295599e-02 -1.451467e-03 -1.555336e-02  1.088230e-02
##  [621] -9.346719e-03  4.653734e-03  1.021099e-02 -1.180062e-02
##  [625]  6.118640e-05  8.650678e-03 -9.140274e-03  9.867900e-03
##  [629]  2.119222e-03 -4.911333e-03  4.366819e-03 -7.654493e-03
##  [633] -3.788115e-03 -6.509880e-03 -4.446098e-03 -8.140483e-03
##  [637]  1.695166e-02 -7.141568e-03 -3.707824e-04  7.082837e-03
##  [641]  8.859619e-03 -1.339177e-03 -5.313476e-03  9.992771e-03
##  [645] -4.557478e-03  1.217360e-03  7.454354e-03 -7.880261e-03
##  [649]  3.280883e-03 -5.460668e-04 -5.965443e-03  6.329520e-03
##  [653]  1.385731e-02  1.443489e-02 -1.416431e-03  2.654164e-03
##  [657] -1.202942e-02 -6.279362e-03 -1.097852e-02  8.487936e-04
##  [661]  2.239778e-03  2.536386e-03 -3.080736e-03 -1.254126e-02
##  [665]  5.803138e-03  8.309877e-03 -3.691493e-03  5.455042e-04
##  [669] -5.224799e-03  7.915487e-04 -1.193953e-02 -1.417697e-03
##  [673]  7.313433e-03 -1.041507e-03 -8.989655e-03  6.227476e-03
##  [677]  5.211059e-03  1.466455e-03  8.148418e-03  2.721584e-03
##  [681]  5.541181e-03  2.759119e-03 -6.429731e-03 -9.205491e-03
##  [685]  3.946934e-03  1.271841e-03 -1.561579e-02 -2.338894e-03
##  [689]  9.322933e-03  1.464129e-03 -2.069549e-02 -6.305624e-03
##  [693] -3.576250e-03  8.795628e-04  5.011286e-03 -3.379862e-03
##  [697] -4.524326e-03  3.018491e-03 -1.382344e-03 -3.144357e-04
##  [701]  1.194175e-02 -1.213046e-02  0.000000e+00  4.894895e-03
##  [705]  1.706897e-02  6.196529e-03  3.053437e-03 -1.220256e-03
##  [709]  1.394385e-02 -9.034785e-04 -1.481239e-02  0.000000e+00
##  [713] -1.040233e-03  2.506957e-03  1.117398e-02 -4.842918e-03
##  [717] -4.195938e-03 -1.646693e-03  1.140997e-02 -3.621439e-04
##  [721]  1.266930e-03  8.106448e-03 -2.395067e-03 -8.307296e-03
##  [725]  6.867497e-03  8.250675e-03 -1.608915e-03 -7.159051e-04
##  [729] -5.865822e-03 -7.774168e-03  4.226039e-03 -1.326260e-03
##  [733]  5.654491e-03 -1.067400e-02 -5.166714e-03  1.313777e-02
##  [737]  9.017946e-04 -3.793015e-03 -3.807456e-03 -5.220993e-03
##  [741] -7.760266e-03 -3.687320e-03  9.231054e-04 -1.292586e-03
##  [745]  3.013440e-03 -3.136630e-03  8.281494e-03 -1.439848e-02
##  [749] -3.228012e-03  0.000000e+00 -7.927879e-03 -6.267431e-05
##  [753] -8.778531e-04  3.756814e-03 -6.835382e-03  9.893012e-03
##  [757]  7.263278e-03 -3.594006e-03 -6.227058e-03  4.371585e-04
##  [761] -6.514681e-03  5.077585e-03  9.521214e-03  2.165373e-03
##  [765]  6.590926e-03  1.962709e-03 -4.914015e-03  7.973057e-03
##  [769] -5.083148e-03 -4.492177e-03 -5.814329e-03  7.170262e-03
##  [773] -7.852877e-03  5.880003e-03  2.342355e-03 -1.444942e-02
##  [777] -5.323659e-03  2.759314e-03 -3.324659e-03 -9.596639e-03
##  [781] -9.177300e-03  1.982795e-03  1.851320e-03 -4.666782e-03
##  [785]  4.347833e-03 -3.190505e-04  4.012616e-03 -1.781398e-03
##  [789] -7.799055e-03 -9.349177e-03  2.587826e-03 -8.403090e-04
##  [793] -2.071466e-03 -1.508206e-02  2.496716e-03 -1.754257e-02
##  [797] -2.273184e-03  1.224071e-02 -6.168151e-03  5.572893e-03
##  [801] -3.645406e-03 -3.792041e-03 -1.734490e-03  4.995182e-03
##  [805]  8.994770e-03 -9.592876e-03  9.856207e-03  6.822383e-03
##  [809] -3.208594e-03 -1.539966e-02  3.789268e-03 -2.654456e-04
##  [813] -1.020655e-02 -2.013559e-03  1.477006e-03  4.217579e-03
##  [817]  8.050877e-03  6.341678e-03  6.825069e-03 -6.100980e-03
##  [821]  5.708490e-03 -3.539363e-03  1.050007e-03  1.703913e-03
##  [825]  6.461531e-03 -1.951918e-04  3.118506e-03  4.401302e-03
##  [829] -1.227827e-03 -4.536625e-03 -8.611182e-03  7.311215e-03
##  [833]  1.429872e-03 -1.885260e-03 -3.254043e-04  6.682045e-03
##  [837] -1.177211e-02 -8.211575e-03  9.388507e-03  3.266800e-04
##  [841] -4.320792e-03 -7.044833e-03 -6.607420e-05 -1.632118e-02
##  [845] -1.012564e-02  1.621894e-02 -1.870908e-03 -6.508561e-03
##  [849] -1.328203e-02 -6.982504e-03 -1.167745e-02  3.538353e-03
##  [853] -6.252626e-03 -3.485171e-04  8.469332e-03 -2.006713e-03
##  [857] -5.905050e-03  3.408343e-03  1.159834e-02 -5.299211e-03
##  [861]  1.241230e-02 -2.183258e-03 -1.708993e-03 -8.451045e-03
##  [865]  3.449346e-04 -5.255890e-03  1.123878e-02  6.083617e-03
##  [869] -8.829928e-03  1.535080e-02  3.851746e-03  7.416147e-04
##  [873] -2.158954e-03 -1.284088e-03  2.633980e-03  1.617469e-03
##  [877]  6.845205e-03  2.271362e-03 -6.673117e-05  7.512584e-03
##  [881] -1.126611e-03 -8.925063e-03  1.190451e-02  3.497776e-03
##  [885]  6.587832e-05 -6.587832e-05 -1.450422e-03 -4.098908e-03
##  [889] -5.247264e-03  1.053304e-02  7.157193e-03  6.001323e-03
##  [893] -5.674237e-03 -4.391866e-03  2.165568e-03 -3.546103e-03
##  [897]  5.379884e-03  9.248470e-03  4.205085e-03  3.093982e-03
##  [901]  4.687157e-03 -1.281969e-03  7.858210e-03  1.157838e-02
##  [905]  2.763994e-03 -3.393242e-03 -1.700949e-03  7.475144e-03
##  [909] -2.130060e-03 -1.065550e-02 -5.593709e-03 -7.357443e-03
##  [913]  4.493949e-04  6.334197e-03 -5.949162e-03  2.115046e-03
##  [917] -4.482726e-04 -6.232551e-03  1.095114e-03 -3.935108e-03
##  [921] -7.112606e-04  7.346814e-03 -2.958011e-03 -3.548276e-03
##  [925] -7.460059e-03  7.395428e-03 -5.119078e-03  3.825584e-03
##  [929] -8.905705e-03  1.284564e-02 -4.198837e-03 -3.956548e-03
##  [933]  5.121069e-03  5.995183e-03  5.256422e-03 -1.855822e-03
##  [937]  1.472142e-03 -4.551436e-03 -8.356099e-04  6.282072e-03
##  [941]  4.717591e-03  6.719092e-03  1.388889e-03 -2.716449e-03
##  [945]  2.530044e-04 -5.135858e-03  6.210413e-03  1.262706e-03
##  [949]  4.155654e-03 -7.542901e-04  1.696353e-03  1.317399e-03
##  [953] -9.574876e-03  2.781116e-03  9.360835e-03  2.186203e-03
##  [957] -7.515536e-03 -1.061756e-02  7.469335e-03 -6.580220e-03
##  [961] -4.836153e-03  4.518703e-03  7.780171e-03 -5.623494e-03
##  [965]  1.027525e-02  4.692641e-03  1.870908e-03 -2.495323e-03
##  [969]  4.362737e-03  1.248394e-02 -4.370179e-03 -3.769974e-03
##  [973] -6.211200e-03  1.307556e-03  6.264946e-03 -6.700608e-03
##  [977] -1.145732e-02  3.770981e-03  4.319120e-03 -3.065280e-03
##  [981] -1.818581e-03 -6.801890e-03 -3.164760e-03 -1.006699e-02
##  [985] -3.785332e-03  1.348964e-03  1.603541e-03  4.485311e-04
##  [989]  7.212874e-03 -2.738594e-03  7.750499e-03 -6.330316e-04
##  [993] -3.743065e-03  4.818981e-03  4.606994e-03 -5.492958e-03
##  [997] -1.158953e-02 -6.405124e-05 -8.490981e-03  2.645078e-03
## [1001] -3.808545e-03 -4.667453e-03  6.495616e-04 -1.169515e-03
## [1005] -1.366165e-03  6.618244e-03 -4.602180e-03  6.346761e-03
## [1009]  6.178421e-03 -5.726619e-03 -4.518024e-04  4.508864e-03
## [1013]  1.477058e-03  2.883601e-03  5.615125e-03  9.751233e-03
## [1017]  2.520161e-04  7.906172e-03 -5.626583e-04 -7.280519e-03
## [1021]  7.655660e-03 -1.250313e-04 -1.112764e-02  4.289686e-03
## [1025]  1.195307e-03 -4.221409e-03  1.279817e-02  5.098562e-03
## [1029]  2.663282e-03 -4.949576e-04 -4.341361e-03  1.366460e-03
## [1033] -1.242159e-03 -1.243008e-04  2.669068e-03 -9.091538e-03
## [1037]  2.311851e-03  6.531702e-03 -4.038401e-03  6.762861e-03
## [1041]  4.503817e-03 -7.166275e-03  5.687805e-03 -7.114826e-03
## [1045] -1.739995e-03  1.045640e-02  3.808826e-03  1.226242e-04
## [1049] -2.762687e-03 -9.841310e-04 -2.834783e-03 -2.471578e-03
## [1053]  2.348144e-03 -8.616201e-03 -1.869392e-03  9.188616e-03
## [1057] -7.256971e-03 -2.243551e-03  7.149326e-03  2.721932e-03
## [1061]  5.483179e-03  6.796707e-03 -8.641613e-03 -5.369555e-03
## [1065] -4.527842e-03 -3.861730e-03 -2.561941e-03  3.435249e-03
## [1069]  6.233248e-04  5.220646e-03 -1.859831e-04  9.441309e-03
## [1073]  1.963432e-03 -6.131584e-04  2.266811e-03  2.750025e-03
## [1077] -7.534723e-03  1.351850e-03  3.983459e-03 -1.530222e-03
## [1081] -5.897910e-03  5.285165e-03  5.501236e-03  1.012836e-02
## [1085] -3.324371e-03 -1.211607e-03 -1.941630e-03  3.939996e-03
## [1089]  6.392110e-03  3.300630e-03 -5.991432e-05 -9.269915e-03
## [1093] -7.259528e-04 -5.887547e-03 -6.089392e-04 -4.823700e-03
## [1097] -4.285408e-04  4.947632e-03 -7.461352e-03 -6.837318e-03
## [1101]  3.763230e-03 -2.095791e-03 -3.585341e-03  1.917902e-03
## [1105]  2.654241e-03 -7.424858e-03  5.141400e-03  5.668181e-03
## [1109]  4.230151e-03  9.013459e-03 -3.340118e-03 -2.924157e-03
## [1113] -4.034729e-03  4.400716e-03 -2.136818e-03  4.999096e-03
## [1117] -3.838542e-03  6.104447e-05 -7.844139e-03  3.316753e-03
## [1121]  4.893575e-03 -1.042762e-02 -5.440844e-03  3.465779e-03
## [1125]  1.234873e-03  1.603058e-03 -6.241716e-03 -9.592698e-03
## [1129]  5.005945e-04 -8.135933e-04  2.751033e-03  3.365957e-03
## [1133] -1.867007e-04  1.867007e-04  9.329809e-04 -5.423446e-03
## [1137] -1.939622e-03  3.937874e-03 -6.132301e-03  5.020080e-04
## [1141]  1.067060e-02  8.685942e-04  1.487266e-03 -7.770530e-03
## [1145]  6.903227e-03  2.478775e-04  9.987753e-03  1.103618e-03
## [1149] -2.085634e-03  6.548972e-03 -2.137471e-03 -1.162257e-03
## [1153]  7.135699e-03 -1.081488e-02  5.527407e-04  7.279878e-03
## [1157] -5.991337e-03  3.305788e-03 -4.890574e-04 -9.831712e-03
## [1161] -1.544975e-03  3.642317e-03  3.444885e-03  6.305307e-03
## [1165]  2.255342e-03  1.011670e-02 -6.166888e-03  3.330006e-03
## [1169] -5.576448e-03  3.458636e-03 -8.149905e-03 -5.265748e-03
## [1173]  1.962589e-03  4.706754e-03 -7.283443e-03 -6.144771e-04
## [1177] -5.547352e-03  6.796627e-04 -1.468419e-02 -3.761520e-04
## [1181]  4.566932e-03 -9.469827e-03 -3.534911e-03 -5.692780e-04
## [1185] -2.026728e-03  2.216524e-03 -3.796267e-04 -8.133226e-03
## [1189]  2.803264e-03 -6.318431e-03 -1.685161e-02  7.589308e-03
## [1193]  5.027727e-03  8.196242e-03 -2.106675e-03  2.361728e-03
## [1197] -3.896648e-03 -9.646997e-03 -4.598900e-03  2.140148e-03
## [1201] -2.464813e-03  1.482655e-02 -2.177952e-03  1.039849e-02
## [1205] -1.778569e-03  5.009999e-03 -1.899576e-03 -7.890089e-03
## [1209]  9.220172e-03 -4.631253e-03  1.382991e-02  2.568039e-03
## [1213]  5.003127e-04 -5.580127e-03  1.100493e-02  3.042441e-03
## [1217]  6.817267e-04 -1.215460e-02  1.754386e-03 -9.394671e-04
## [1221]  4.189470e-03 -1.248050e-04  3.239878e-03 -7.367206e-03
## [1225] -1.442323e-03 -2.261734e-03 -5.107682e-03 -3.039131e-03
## [1229]  1.963828e-03 -1.139818e-03 -7.696015e-03 -1.022103e-03
## [1233] -8.665844e-03 -2.840728e-03  4.579914e-03  5.583559e-03
## [1237]  5.106937e-03
#2
library(fBasics)
## Loading required package: timeDate
## Loading required package: timeSeries
## 
## Attaching package: 'timeSeries'
## The following object is masked from 'package:zoo':
## 
##     time<-
## 
## Attaching package: 'fBasics'
## The following object is masked from 'package:TTR':
## 
##     volatility
basicStats(ukus.rtn)
##                ukus.rtn
## nobs        1237.000000
## NAs            0.000000
## Minimum       -0.049662
## Maximum        0.044349
## 1. Quartile   -0.004204
## 3. Quartile    0.004058
## Mean          -0.000185
## Median         0.000000
## Sum           -0.228465
## SE Mean        0.000213
## LCL Mean      -0.000602
## UCL Mean       0.000233
## Variance       0.000056
## Stdev          0.007485
## Skewness      -0.359374
## Kurtosis       5.467822
basicStats(usjp.rtn)
##                usjp.rtn
## nobs        1237.000000
## NAs            0.000000
## Minimum       -0.052156
## Maximum        0.030593
## 1. Quartile   -0.004517
## 3. Quartile    0.004075
## Mean          -0.000345
## Median        -0.000370
## Sum           -0.426384
## SE Mean        0.000214
## LCL Mean      -0.000764
## UCL Mean       0.000074
## Variance       0.000056
## Stdev          0.007515
## Skewness      -0.416500
## Kurtosis       4.835848
#3
d.ukus <- density(ukus.rtn) # returns the density data 
plot(d.ukus) # plots the results

d.usjp <- density(usjp.rtn) # returns the density data 
plot(d.usjp) # plots the results

#
hist(ukus.rtn)

hist(usjp.rtn)

#4
a<-t.test(ukus.rtn, usjp.rtn)
var.equal = FALSE
mu = 0
wilcox.test(ukus.rtn, usjp.rtn)
## 
##  Wilcoxon rank sum test with continuity correction
## 
## data:  ukus.rtn and usjp.rtn
## W = 784500, p-value = 0.2745
## alternative hypothesis: true location shift is not equal to 0
conf.level = 0.95
paired = FALSE
#chi-square
x=chisq.test(table(ukus.rtn,usjp.rtn))
## Warning in chisq.test(table(ukus.rtn, usjp.rtn)): Chi-squared approximation
## may be incorrect
x
## 
##  Pearson's Chi-squared test
## 
## data:  table(ukus.rtn, usjp.rtn)
## X-squared = 1508500, df = 1504300, p-value = 0.0074

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