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@artirj
Created January 8, 2017 13:44
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Analysis of Bitcoin Volatility\n",
"\n",
"Here I study whether Bitcoin's volatility has been decreasing. It is widely reported that it has been the case, and indeed if one looks at Eli Dourado's [btcVol.info](http://www.btcvol.info) it seems to be the case. But is it the case?\n",
"\n",
"[Here](https://llucpuigcodina.github.io/BTCEUR-Volatility/) there is a previous analysis by a friend of mine showing that using a very popular statistical test (Augmented Dickey-Fuller) to test whether a series is stationary, and the result is that the data is compatible with a stationary process. That is, the underlying distribution from which daily returns are drawn is constant across time.\n",
"\n",
"In what follows, I replicate his study, showing some limitations of ADF."
]
},
{
"cell_type": "code",
"execution_count": 74,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"import datetime\n",
"sns.set()\n",
"%matplotlib inline\n",
"from forex_python.bitcoin import BtcConverter\n",
"b = BtcConverter()\n",
"_=b.get_latest_price('USD')\n"
]
},
{
"cell_type": "code",
"execution_count": 75,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"start_date=datetime.datetime(2011,1,1)\n",
"end_date=datetime.datetime(2017,1,1)\n",
"r=b.get_previous_price_list('USD', start_date, end_date)"
]
},
{
"cell_type": "code",
"execution_count": 76,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Date</th>\n",
" <th>Price</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>2011-01-01</td>\n",
" <td>0.300</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>2011-01-02</td>\n",
" <td>0.300</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>2011-01-03</td>\n",
" <td>0.295</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>2011-01-04</td>\n",
" <td>0.299</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>2011-01-05</td>\n",
" <td>0.299</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Date Price\n",
"0 2011-01-01 0.300\n",
"1 2011-01-02 0.300\n",
"2 2011-01-03 0.295\n",
"3 2011-01-04 0.299\n",
"4 2011-01-05 0.299"
]
},
"execution_count": 76,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data=pd.DataFrame.from_dict(r,orient='index')\n",
"data.columns=['Price']\n",
"data.sort_index(inplace=True)\n",
"data.index=pd.to_datetime(data.index)\n",
"data.reset_index(inplace=True)\n",
"data.rename(columns={'index':'Date'},inplace=True)\n",
"data.head()"
]
},
{
"cell_type": "code",
"execution_count": 77,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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RHFCmQ2TkCc7p0PCKiIwoiWKO4Ox4JTpESo8nNLyiTIeIjCCJhk8aavwFh5JlOv6+alfO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\nAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f2edc6fd630>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"_=data.plot(x=\"Date\",y=\"Price\")"
]
},
{
"cell_type": "code",
"execution_count": 78,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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x9laWwSxllbWq5+XME7q6UZVEJG/oIAq2C5cTICJ1ED5+uizURSAIIoyxWlPB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\nQ7weAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f2edc63b3c8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"data['Daily change']=data['Price'].pct_change(1).multiply(100)\n",
"_=data.plot(title=\"Bitcoin daily change (%)\",x='Date',y='Daily change')"
]
},
{
"cell_type": "code",
"execution_count": 79,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.figure.Figure at 0x7f2edc5fde80>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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mT57IZZeNoqCgA2Vl3fjJT37KxIn3s3btD/z732/y4Yf/4dJLE1ffRCPTE00g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3TPoXvCoRQnpEp2lDLkrYJfTKq32cCKs7x/pdo2lj2WVsI9YUurz8abX4eBn9+v7FfTdwpYeT2o\nCzZ6FsSwpy2Ny9vVqKKRp59E3XXXI70hIP313RP8nC1FQfO+sCkNBuD5zTW4KbW6bPsB4Ir1rTh8\nUvXryiHAAJCxR5E10rjjpiuQaO2EFdPw1XXX4nDnMfx8yc1YnShicfIhNGQcvHixCKllTK2VRSVw\nta1rJ16z+DX4xJc5C/ZZN4pkMu4JSyqc1D2Qc6upBvUe3L778GHfHbNxVZPiHnV7LOIbd0FL5NGP\nQ+gYWYE1DWHdlc80KJoGFfgXD18FY+lxaLXDIBpFUXPvs8s05HNFPLi9Ew9u78R3PjO9YabjWRSr\nMJHXzq/u6SajiyEFgOeRSRpJWGZGAQ2MMbBiEahNi3O5Y57G3PGdadjYtB7tQ0cntMicjNkOU8Zc\n8/ilYPl69B4Hkm6w2emxM1hdv7LEEeaeVV3VDbkLjCcQ14NV+RwBGowlJ2B4qXM9AeME+1eIaZAq\nan73wA9RjHE/FwFBc52qqYjSI8SMaJagsY6DkaB7gjMD6rYkAjTQznCCkURcxxuuWqF8p2nyio6A\nEA07L6vF1leJTIDd3/pmZBunYl5VSL+93vjJAF3ng4mtSRQkXPbG/xwUQp5790R3f06hqCljyuDm\nAYb6G189rojQn5gokJB8/qbDr71vOI8MiaOYTCv7jay73N1PgI2nttRh5ee+gPQlanhsoeN46Lze\nffPqRLxqRBSs2rU5je1X1MIxiCKiLWVemXjZnN7laKsR7aDgqzIat2HFNKysWwaNiCqfo4l67GlL\n4+ktdcimxbtAjXygOBuD4xbmyto53LtVtPv0kMseTkIIKWfxG8maCgMW1DTI+o3gCp8xwFh+BFpC\nMDff2vf9yBV4nyu4VEBDYNilowtgHr4GdvcaAKKEueeeoJIQ0ksxfb5sqkyDx+B4GWw97ZlDKdIG\nB52ymLDn23fi6J9/HD0//hEX1qLIgTpjaBjLA4xxQbEW7b6abrMdqoAGL6kZy4vwa3MKlWdno1Ud\naJCtXEQCIMpYe8Yk0KA3StpLiR6eiGlBUEL1UKIkfngdSxeoOoIo10IoxbNrF7sZEkMAARGMhZRz\nodi+BYW9NwGZ6JwUQWaD18iQVOruRHToYg2WV1Spr3fa1dqJwHV7z4FS6jPolIiXnyEihbZsmli5\nWzbFA9s6sL9jeusSnOhRfZWUApabMrlxVNyfUvUmZJPdE/IEfXpgBF+8exc+fcdz+PQd25EoqAxC\n/5bX83Mz+HQ9A0N8xQos/+RfYcO37xYTS1RRI0KRKFKkig6WFPqxKXPC/8mUQEBFoCGKJWM6XtP8\nZvz+pg+K73QbWprfuwUpHvnkvceMAZtYuBaK079M1TQwhmuWcKGn5VjYcVAUasu7IauT0TQEQ+Pk\nCImS+JM4YrXsGmMMy/XjeM2LY6jJ8QllxBzFS717Q1R7n5vHQ2cy0xA97HpjC9UsDBWG/Wcr79vZ\nc3596FFj5kSwuuNGZBGNvzMGRBIvT7w9nM3gnkcO4/Z/24qxnc8BjGHwkYcx8Ox2ZFOd0B2GP3hg\nAO99+DD+8NQvkcqN+kwUZfScCqJtStXwdr94HPFdIx74v1Bs+oPyp2hqaezy28aDk7BT4nKIEz52\nBRaOQiAwj1+KxMYX1O1oOFY4xIKAizqXtKTRPSAmh4uWNfgDZmQKYkKg8i/ib2YlwAq10EqM+UHg\nQojq8pDD2R67tg5v3s5XMWe+/lUs+fifQYtNT5reRY0pnOwV4Ym+ewIiwZBOpFU2Y+VDLiUh5Bfv\n3oWufr4SvOvTt0xbetlTvWo1yYJpY8fhM0AaWNonJqzxXBOACBH1hJBxLQaTWtj64nHYPdwVFBLe\nGQbghhfKdD3AtRCaJwzWdcC2UTh2NHTeJQM5vHtbPwzaD+CA//3OxasBiD6YKBPx4Fm8BEvGGPNT\nuAOAXt/va4kWukXkZNDezFYhv+tNSK/ohIk8nP5lYPlaaFerTMPyWi40Y2Bcm8E83zgfqPNH2sFs\nu6wANWjBegFjeQueGiWKhtdbziC2ej8eGX0e19u3I+WujB06ig8+yRclhs3w+LU8/PQ7B34AAPj8\ndX/jX/uYy1gktNLuCf+6s8IF0p09i8XutcWZjVv7dmJn4+bzXl0xasyciBDSZ3Dc69fd8HKHMqTc\nSr89HS/jjY/vwnVFFRANvbwHTtLB+pMF1Gf5/gvNYbz75Xthd9YDtyUAQkAZVd6P6TQn4J6AI85T\nLAIkNrF6MHPBqpBpEB1yvOE/GQt2FA3MjhhE3A470dct6J4AOJWYOPR2dTuEJ9dS2eTk2haAyi6E\ndiGqr9f7TjTGK4cdfa5QqW1SOme7rKDP7t2D45/6C9BJUMBR5gQGGW/gs6njJ3fSoAIvVeJQIuSS\nUh8wyMedDgvG7fePFLD/BJ8oWt1Qy0I6hhqp4FQpk5kGQAqPNUozOvHly8V+NDpUEwD3/wLIHTyA\noG04PQYjgEVyWgLPLFXT3lbCNATZIs8oA5bUSOm1kzmQGJ8oky4Y8R4lg3iW6dE22Kc2ujQvUdwf\n+aKttkkK86nNC13F9+/93zg+cmLctnsWZBqKZdwTIBSxtXtBdIosHcGxYXGe1d1P+n9feqyAi46q\nbNMXdgjt95grpo3JYL0U0yC5P/N2wRdCAsCWkXb8TtevI+ogTI+ZweyzrkUBBNOpnOVxAqDBy1Pi\nUIbTmTMAY3jb0yNoLYYZFHtsFFQzsbQ3fD5jcBS3uYscOs0uioJp+/djx8GzIFL/Y1RHvZXBm3u3\n40Nbe/GR+/ux4V/vw6mv/Resgf5zHgZeDVZ1oGEi9zwRAg0AK4TDDb06ARN3T0RPsIwRfOnVfw/D\nrgMzE6gzV4S2KbErrlzfqrZNmh2DE/pIxoxwT0gThuOBhpKXEDhXBAhx7UxrDO1NYvCnhQIGH36o\nsgOPY6EEMe5nhzo+0wAleqJ8yKVSNlKy6SxXGzU4kxRnH5JuHgW7Lh3aJsqCYruGBF+ZeiHBUcby\nBb//OVRlGiirTNBrSPdjd/1F+OHSN+Iraz8AqqnvTTI2PtOwsDE6PS1jDE0JsUKOLReMh89gqKiB\nfxXos4uaxb18/OUuBTTIOp6YJe5ZsncYO3sqTXQV7h9yBEVwctQa+pU2DhaEiLRlVM0bcPmRHLYs\nvNz/XBMT12K5DJKaEbLESygxpf35gVB+hgY7C4xOrGhwJXbnLw/gT/79KXznV4fKhJMy6C1nkNi8\nHZ/d8Xncue+eio7tu3aIxzQI0JCxsmgcc9CQFc/lhYaNKKzkoNYey4ARCy1ucTMrnkJOE311uQsm\nplPXkC1Y+Juvb8en73gOBdPGgY5BhWkgjoY/7bwfl48excIRCzUFipgD5F9+GR2f/mu88tE/wCt/\n9scY3RmdyGouWNWBBtnGmwxjEeIsWgwPbs4wn6gn7J4I0vveH4wPDMv634rC7luQYPWhfUudakGj\nuqLWyjANvcP5EGiQUS/clUmllLymlWYamEbwi4sux+BHPut/Vzh+rKLjymbZFL8IaAyCE7DDbPzy\n2CP4/iv3ImZ70RPSs2Tlkzt57gkWSPwznWVzQ5NI7RDia/hqPu6G7qZqK0uEJaIn+OfGBN+PxFTQ\n8OTFQoGdWneRvx8tkRQKAFre8S5+jlS433vhrGfrUnhk4Q04mealtoPpN5MVuCdam6JBg+1QpW2y\neZVK/euHuAdBvVKrVMztiZe6EJND6aRBe2/9Rf7fZowgZ4ULKpWyYP+QhZBBliqxQQUjAxJo0APg\nY/lwF97ZUYvXLLsegLrypYxhQ+Ykbtp7yv+OlQINVPfzEDzYsRVWhMAu3Xkoet9Jmu1Q7DjAE8Vt\n29vtF5bz2+o+sNjavYiv2+tXy93Ttx8WHV/75AshPfeE6xF3HIYPr3sPfv9BkeTuOyvehsdarwGr\n5xova3QUrUMjWNrP78PYwlX42ur3YSzOC8PV5ine/ZshnP6r2zH2wq7J3YCAPbu3G9mCjZGsiZ0H\n+X3RUsJVuaUvLDgOGisWMfTrh6elPdVoVQcaAtND2W0j0yxb6gC4PLEG9qkN/NgTRA1B0OCVcvWF\nfP6qiW/3228QtK9TIiVzUOtQjmkYGCmEgJMzJmfGdFNKT4BpKIcviEbh1NSh1s02OFGF+suv9OGP\n/+1J/GJbB/7j/+4RbVYGZIbTdY/jkc7H0ZnpxOIB2zu5tEUgeiLENLi1FAKTwHSmwQ6CBmOJCF2N\nF/hkWF+/AJWYd8+9Y/qJuAKFxPasWoBDqxMwDYL6G270mQbGhGgVAIaLQkGvJTkIpfl86D55bnQa\nfOgB0FATG7/ITeS7Bp6858jJ6AQ7G5rU0F3GmACARCSMaqpLhFg9RYsr3aeXWlf7f8dshpd6947b\nds+CmgYZNDC5j+rhfi+DBi1CCTjwi59h6SE+yciPITnWj/f0PFlhCwmcXs5aUkbxTP0giprqbk2c\nPRW146RteCxQcfRsQADMAIDBaOoN7fvJJz+LhzseK3t8fxx0mQYPSNaZo2j6hzv87WwN6I9zMK3V\ncFCQP92FVT2ib+UbF8LRdOxYcYP/3cqzFmg2i+47vgYnk0HxTNeUXARyP/zeI+0AGGIr2wEAC4Ys\nvL5XjGtfW/VefPN3V2HfRWFNm9V/btNbz6RVH2iQHvhkNG00q67637783WAmpwsvWj6xFMkh0KAL\nQRsAf3Tw2ilHKwQV16WOqWoa1N+u3NAaGkyt45fCGV4A85gIdauUaSBETaKzPLE6sAHluRNcAeRE\nY+G/+tN9ymcBrqRnmhpDPtbrbeB/Xz8youxXTtPgCQutQN6N4KQwFaOUgaTGkNi8HfqiE9Dq+Ipo\ny8Eslg+6ivia6FLYQQsyDR4AIAHQ4DAHW29owF3v2ID0xouVZ9UQF323KyMqQXlplQGg2HlCPW9E\nMTDeEInFMRNITEHw+vCOk/jXH+9WQB4AfOTiPxDRE5I3ybtiQgg++3tb8M6b1uDTv3MlAODmK0T9\njl89J02OkkvOTAD9jXzi8Rgfu4IVLxB2T8jMg6y7kQsTeeGqe/sO+P3ZK/nd2VKDUV24Ihb85iU3\nJFD0y2UdYpLxrD5dOiGRdXKjr1V6ongQd76/Cf9+0w04nuLlo9Nd4690J2J2gGEJsjG8YJTl60rs\ngcXK7w92bEXGKp10ynv3vaJcOtHRYI3h450/U7b77jsX+MluWUrc0yuPiHT5ZzffCADorF8BZ0W4\nnPaxT34CnZ/7Www++MCkgUM84PL2XJILhmx8YKsAjs80X46xWA0IjWMsHXaT01wOzKnMjTjbrOpA\nw1SNBdwTLXU1+P03teGNV6/ArVeFtQflLDhhB1kC7/XytjLktNYlBEtBcaXKNKjbvvX6VSEgwYo1\nMI9cBWdgmWhnpaAhcL5XN75FBVmE8boPcTfr3hSFkN6A4VDGK9Wt3aNEnsiels71amKispoGd9I1\nTRXUTK97AoitPgCtZhTxVYdBDBsxi+KGPWKATK1fX+YIUnM9psHtE74+gQTa632OKGC2vE487739\norx0rFWE29qj6opf87QjQTpcAg00XxuZU2SixqBeS2NCZsTkZym+WdCQwjtvWuPrJXJSgrRXTkn5\nCFxw9cU/vAZEt3ywsPk4d+8MFSpLJRzsHzKIkF1oJF6A5jBcsy+LdYf4u+AwB68M8wlbd1fPmaSB\nr695H55t4gBez5tIFygoGJhtgxYKqBsNr9Bv/8AV+PCb2vCN218b0UoC3RJglOoE2oIe5N1IA6OQ\nhdl9JmK/yVlwnAoKgBljfjZHgIfHmsfUvDBWGWGk4zBotXyyTRUorn10dwgwfP+tzcilNECj0OoG\n8Wh9e+g43QtroemuHgIain/yITz46gY8d2lYwzbwi5+h83N/Cyc/fk2VoAV1ct61bzmUhSHdmuea\nuABao3EcWJdCz6YlyK3dhCebRamCXPthTNZGMkX84z0v4Gv375tUkbBzaVUNGibDNLBAIR1D0/Ha\nK5bhg69fH1m/opwFQYI34fuTWMA9IQOC0u4J9aK2tAlhZJAxSCWMkmJMxSp2T0wPfmMAACAASURB\nVBDFlREjKRQPXC9twJkGzc/vXzloiBIhUsqFRSMZE8aikzAWdPtJXgDAkAYsKq12LZtWVLDKDGTh\nnM4StYwy6HWq6CxdoL5wM7V+A+qvv7GiY8kFqwBRVyHonvAV5hFuJ8JEX9zTt9//O75UgImnXziJ\nEamUcVSKbkDNZ0JHm6cFNAQtoYv30NdBMhZi52T7/9s77/A4ynNv3zPb1btkyZZly/a4947phN57\nSIBASEIqSUhOyOFLPyeHtBNyElJIQkhCek7aIaGEBDAYjI3Bxsb2uDfZqlaXts3M98fs7sxskVay\nVrbJe18XF9bu7OzMuzPvPO9Tfo/j/jTsxrT5mcPRHfhmbSRqu88k3eAvu/+e1TGFIpmNhmZbGbRn\n4k5uerqTVVv7uWLzEZa+aRqKnUHzenAlGWOHAtbq+z1/7GDVpi52330Xez50N2WdzhwBgPrqQs5Z\nWIfP62J+rIuvnUCbs0eOnNfHwXlW7P/AZ/6d3R98H80/fSSr8x4KLem+Ta6i0A3wTtuc+NuIeNE6\narmxwdLmGCoRUdMNXJWHkTWDO//UTlWTU0/l68vO53hxPFyn45mylX0F3WyZ7lz86bLsML7dLjd7\nJ/nYMC+fwC034quf7DyPY0cJ7tk99MmnISW5PrayaYhJu7sKC5nxo0eZNcUMTRoRNwMBmS3nTmX7\nsqvZWdiQ+GjXM6l9XrLlL+sOsO9oD5t2tfHHtWPrXTpRTjmj4USNqmRPQzq9hGxJCU8kuivGvitp\nArRvH80YnnAez9kLam3vpc6k2cznI5nz7Q9jM4Ri/e0qbTU9DTGXd6StLWs3X3J/CTBv7h8/biZu\nuYrbrTcMA3dLBXmDtkoQW73953+ykWdtCVkpDatiJ5ys1DeW4Yke15GU1wIh6zgqrr/RUqYchrjh\n1xmLH8eFmiR/P+663Ui+AeSi9oQgmYQzgRAye64kjzVu2/e28gfbBBP3NCSHJ4zBQiJHphFtryXa\nOgnXCI3pbAjYjED71yfnAdlZNtMmUmYzkpA1SpXdPLbzdwAcrrb2/ZFft9F/IFWjIplwREuRerdf\nL+u2xQWkDMrCPVR1WtvGHxjH+lvY27KTstjvqMV+/2N+Z27L4h3ZJ2fm+VJLxKXBEu6cc4vjtd1T\nfOyeZOVrGaEQPS+sJdp9YtUUqZ6GpLwPepHz+li4c4ArnutixvFWZENL0lHJ7IbXdB3JN8jElrCj\n/Pf5soX877I70A3LuHRXH0L2m96B55Y6Q3+aLCXuI90wyLPl4USXzGXyZ7/A9Icfoeau9yZeN6Kj\nUGpMuizlwk5cmoE/bI5T2RVXAeaCDqxF6kB0kObjA3R5ConGPaHHnS29R4L92nx+89h5lsaCU89o\ncOg0jCapwY3WbVrv+kDBCYn9JIcSEp6GhPp80vb28EQmT4Ntn/XVzuNL51XI5viz2SbgS30QJcs7\nu4o7eL3/OXaGrAf27vfckdXElNwACMybe/OedqT8LuSCmAvZMLj86TAf/Md2bvurdVMZLqeH6I9r\nrcTDFE9D7KaUk14fC09Dd1+I1s4BurzOyhFfWHfENF2FqRUzmYgbPYda+3jylUMJT4MkG3jq9uJf\nsNYRtnHr5oRovx4Mw+DqxktT9inbchrchsbLb1ox4Iw5DUhEj04jsm8+aN6sPQ32nJ3pw+QHFfkt\nt7G9y2f8rkn3jfMbyzlnUcxzYvM0+Ga+SrDY+j1eWFzAgM96/8LH97DrZ9+n6/lniXR2Eu1JlVq2\nqz/GiUbT3KOuCG/b6Pz8hPYI3rDO9o1Po93/QOL1Xl9MEVD20HTjh9Oc0fAE0hgNug5Lqhdy4aTz\nHa9vnJNa4htubk55bSQkVzb1DjjHqUc6ijtqcObrfUw9GuaaIy/zb3t/QeFTzydWT0PpJOi6gRzo\no6TXMiy+3XA9L5fNp0/2ofeWJl731NnuOUmi329db7pLtsmxGwkJarA8b5IskzdrduJ1IzJyZVsj\naTzclUcSJdYA7iLzvk/cCzajIS7at7nITLyPHDk86ryGQlvDQUdL+lOAU85ocDafGN0uwupSQjuW\nEdq5LDv3fgZSEyHTexriD+L4gxkyS0a7HQ+C4Y9hIDj8hT/UGd5ywXQ8bpnLVzUAzqZdG3akxlv3\nhrfwl9ImBm2TcufTTw57DN1pJuV4LM4/x6pZLnxjGo0dqTFoaYi4e6qnIX3viRP1NIQiGp9+eD33\n/WA9waD1nYMbLmLOs1biVWD6DDyVlel2kZZZk62J8fnNTcOq1xUFzZbTTmllpwhTfKKOKyQCTBk4\n6miL7ooNhzaMUZlutZsOe5JY4uGeAXsLcEegKYNOg/maRGNtzBgzMh9zuL+M39WfmfhbNoC162n9\n+U/Z/8mPse/jH+HYj5w9VLrs16ccRfIO0q4f4oWm9ezt2h8LgRhMULYkSvzs+3//79u5/h9O4/n1\neusaGCgsp/kzd7FpZgBdgufLF/JA4638cuYyfn1hKZmIN6uzE4nqvLytmWBS88y2Mg9/PruYPtvv\nFeo6Tn8wwht720eV05PsaejoCTrut4jUT3GfTU8lRv6mzdQ3D6+TENRCSJ5IwmjQC4rpd5vGz7GO\nAdA86AOFaT9rn4N0WU4cV38wSqHX+syLR635xS6IlaxzkQ2O4ZB0JHfE4WF0FZjfGzca4s0QByID\ndPSYOTaDthLmjsf/MuJjgNTfZfuB0XstxppTzmgYqc2waHq6sjcJvbccor5R5UXESclpsJXA2f8f\nP9CZk0uZMbGYqtIAFy5L3/XMEavPxmgIDX/hX3/+jIzvXbB0Eg997CwuWWnG/NJZrYOvn+NQ0hwI\nuPjjuVYiW6Rj+L4OnT2p7YHTudSLu9Nfcl535pVryl4SK46kGPUJeBo27myNCbqYk1sw5to0S1wl\nSsKWy7n69jtG5MG6eIV1LUQ03VE+mQ5v1PSUJTdxckhJx13CLuu1WX0H8dm8AVLC0zD092VrWMdL\nJCG1F4WzFDgJe/WEkfRiEglPXCajobOW8M4VHDMa2FlVlvErezducDz8uvtirZnzuwgsfQb/wufZ\n6X6KX6t/4L9f+x6u6gM0Fmzg9r9YOgh/mnAGYSn1oR5yS/zmbaVEbYZRKKIhud28uLiQb7+9ipfL\n5oAkcbTGRUtF5mqJdJ6G7v4wP3x8O89sOJby3oE6Hz+5xjJC3jy4iW//ciMP/nYLf1g7cl2V5JyG\nqGY47lvd0LniectYOu6xHtaNh0OJbTLRFzW9NoWxUKRRnGpAhXctdvwdfGMNRsRL0Of0NPQOWHNX\naNBsiAamemYiVGzzvI3K02CflF0xZVObp8FVYIZNPLH7zojY23ubn91ZYOVX9G/OXnzMTnLy4+4j\nQyf7arrOPzelhlRzwSlnNNjJZmK++6o5fPqdi7n35oVIwORqp9WabWVBOpLDE+4M4Yl4GEWWJD71\njsX813tXpl1BgNPFu3Rm9qtVgHdfNivx7/rqAv7rfSu554b5XBzzImTCnmBWmU7ZL+In+NoFjpfa\nyjyEp04ESEgVD0W6tuOGbuCqPgBA/oDGZWu7ue7IusT7R/zW+Udqkto6O9anSZOSTUbacRqj9DRE\nojrf+9M2hwtbSogcyPi1IPN6zQm5s7QWb01quddQuGSZa86cAphGW1Nr5ph3aNdi9jWZtfLJTZxk\nOdVoSL5HStsPJv6dKafBjt0QGI4PXDOPPL+bJUplSsfWsLqUaFsd+mAeN0y+yfFeIhES697JdEhW\n3lD6qSnSaS0Sni9Ykfh3b57Mm1WVuEtjhoSmodnKeMMRDSnQ6/B62Skt2sW1W6ysfU2SOOybwL48\np0dl08wAP7+8jOZKD5UlVrigsyfkFLmKJW9KsU6YrWVm9UPpxVaICYbx8ujOMYg2T469LKHFxq/q\n6U1c+9LD3H7kbzy1YeQaDskS7+A09ivbjluKjS43P6q/kgOxxM/5ewapbQ2jDZEwHTXMB7cnnivh\nT9U0MMIBBjdeSOSQQmjHMoxgASF1ieNhXXa8n4k2L1rfYIRVE5bbvid2P9iM6NF5Gmzh8dgcMLHV\nOr+E0RCbx7XYYsvAgFhjqw5vCS/FqisiHaPzECSHjYZ7jL3wxjEefWL01Roj4dRuWJUFHreL6RPN\nVc5X37+agjwP7//G84n3TyQxPNvwhP0HHc7QcbtkPn7TAg4292b0RmTijHkTWDS9gtd3t6NMKqGi\nJEBd5chK5qZMyByLD++Zj2/a1sTEHnIbeAE9C6MhnVdBN8ATE0VaqA4y7Yi1n4OBGv5cfSYLenaz\nq6CeZckrT9vuUsITUgajIeZp6Ap143f5rB4Pw5AuHwNZA8Ng8oDGWU1PJV4OBbLPZbBTXmweSzii\n88be43iSvPuGJhM5OAe9q4p5M+OeBut9e3tssHRA+oMRelx5FGmmIdLf2sH+Yz1MmVCEKzZsQxkN\nyZ1Qh2JSVQGPfeESensG2LYvaTLU3UT2z0OZVMI5jc6VY+KeMLBVHKX/jsS1nMHToA1aD45OuZKf\nXVaGN2rQUu5BD/m5oP4mjn3T7P3Qt+V1Ss4+FzANSldZ5vh/VW8wMV4AP5p0Ff3uPJ6oWkl3Zz6F\ntTU8OakVV7kV0nPLLmZMLGbXkW7WbWtm9hJn+bJ5nubv9MQ5U7h/6pX4Gy1FS8gcxoztJPGvyJFp\nRI9NwVV2DMkbZsAvJ1bvABNCHVzc+hKRjvl4yrMTHYP0uVeaZkBswV7VZuXxeG+6HX1DhCZ/FQ2D\n5lje8EwX4We+wP7KSgzDwF1cQt09H8OVZ/5O8XLMuPIrXh+kCdFPqSnmQPMUa24dKObNScWc3W1e\nZ10lBUyzzV1RzbBE0jC1Ojyy2/S8SRIYxqg8DY4Vvqzhieis2GbeW7Lfj6vI9IjGhf60kK1KyB1O\nJEb2uE3jQh/oRw8GEyJsWR9H0nyaLtHczpOvHBrR/k+EU9DTMPryifJif2qd7Yl4GjKEJyJR3cyE\nt9Wcj4S5U8q5bFXDiCbsOHl+D2fMm0BFhl4A2WCPe9vRjtdyYeAuArGHbUevmc0/uEsdtooiXa8G\nXTcwdBcYBjMOWpLJz5Uv4te1FzDgDvBy2Xw6vCVpPm/3NCQR78mQFI54ZtMRDvQc4rMvPcD9675M\nf5YSw2ljwZLO7H1Brnt2N5Vha8V6XFma1T6TmVZnC7/YVtF6MI+a1ksIbnobWrtpSdx5qelRSg1P\npEpJP/i7LTw8+erE625DS0wglk5D5iv0xnOnZXwvHR63mZCW6dpNrvMHu7iTYVVPDBee0FJd+rco\n12H0O8NYncVuWsrNbWVfkIf7rQVD+x9+n/h3VNMT3TcBgm+uZErX1Vwx9SIA/GHrGvjmjKvp9JoP\nqJDLx7MVS1nrnYphONdYEtAXyzmSAKeXPnaisdWq5vGZgl0e53kle2wc2Ayn+dPKkAwXwc3nUjSg\n0FGSut5b2LOH/Z/6BJ1/fyrrqidTQyWMXNqccMdruo6ma+w8vhspJmU94JPxzDeNwV35kzCSrqlI\nWxvR9naCe/fQ/KOH6Xv9NQxdT0hNFw7EcnB86R+eZy+sS1n8bJlcSlOlh+NFLrbNrcdj85hGNR13\nktEA5nwf9zaMxtPg+A1ljYouax8Fi5Yk8ql8sRYGkZD1+8lFliHd47b1HxlFFUVyeGK43LaivLHp\nSJwNp5zRkE3i30g4oZyGlPCENVzf//M2S+0sB3XuuSRdm+P4Q8CFh+U15uRgr4ffd+89abPS46Q8\n9N1hHj/0V2T/ALP3BSmKTRpPVK5kfem8FP39TNUmkFncSYrf4Z4gkneAimIvj2z7JZqhEdSCHO5N\nrZFPRzqjQZJ1Go84PSz/qFgK9VOz2mcyVaV5lrFmdztrbhor6ogbSWcvrE10lJSSwhPJTav2Hu1m\nb1MPUdvrvvIDNBu7MAzDVj2Rept/7f2ruf+2JSyeMbIQWRxPhjLNtq7MgjqOoF5GT0NcFlCmyJbn\nsqrwYs6oW5GyfbJC4b6+A2jFsVVef3/CSxaN6gmNEH+kCqO/BCmSl2i29bZXLPnkEBla3UedD/x2\nDnLNmVMTZ9XRbbte4ucnxdzmGaZad5pOuglsRoPHLbFwegUgUdqziEPXr2FXffqeIW2/+RXNj/ww\n835tRDUdn7IR3/TN+Oa8hHfa67x07BWePPhPvr35h0QwH3iaS0okcbf4y2m++0P88dwSegMyFOQj\nea2HVv8bWzj60P/Q9/omokaU+mPhhNEge1OP+T1XzObM+RNSFnyax+D3byvl55eX01fgdYxVJIPR\nAFZew2i69DrDExp+WxJk2ZVXJf5dGHtIRwYs48Deo6LHbS3MoseHzwlLJtlzmyzvnUxrZ/ZlvifK\nKWc0/OmF/cNvNAJOJKfBnWQM2Ff3u490J37Y081oSI5j25UndQOun34lAK/Otm4IrafHzEp/+PuE\njqY+jJMvcnfVITa0vQJYyn2DARfbC6ekPabOvqQQiL16IoOMtIyBq7yJwKLn8C14gX2Bp+kIWlZ9\nUBs+rALw53XOa85Vdoyp3a1MbbImncfqLmJj8SxHJcRIicevtW7LfWxEPY4H8IRya7KxT6IDoaij\nIkEzNP72cix/waURib3l8/XSXrye/9n8w4y9JySgrMhHY23xqD1xmTwN/WmMfkvcyvIaZbpl7KtN\nj2xdpx4pfTJh5OBsos2TibZbeSZtZ1rtyrtfWGtuF/M0lPREmXI0hMvQiEZ1ppVMwWfzMvTmyWCk\nGtUdPUGiLU4BId0VpLHOcpn39Nv87nF1z9iPIKXZJwztVzUc94CeGBtNN/B4vDyxpphv3VLFN69s\n5InKlY7P9r78EkZ0+AXYtiOHkfNjOTT+QVxlLfzl4P/xt/2mYFaiAsemkwCgBwo4NMHLI9dUoH32\nHqZ/92HKr7rGsUoL7tmDpkdZvs3SU5FnO9Ukwez8K0lSigte8lsPwk7psGPRtv9oT6KPBUBYs+cd\nmHlt/W+kSngPR2IhWNSOb/YGZu+zPKSufOveTKzso9Y16q45iHfa6yBH6fFY20ZGYTQky/wMFZ54\n8pVD9AyMX1nmKWc0jDUnFp5wfrY6qdNfolX8aWY0JCeLXrZqcqJltqEbyJJMbX4NLRUe/jzf+ZDv\n3bCe4397PGWfDhle34CzRXJsUm6uL6a0PH1OQLo253EyNaySMHBPNFXfJMkg6HU2iQlGM7eetrPe\npm3gKjuGd9oWh5ch/8LLyJ+hcNnqBpT60RsNiZyYwQK041UYUTfR5oaEZwGcD+MaW7vo5uMDyDaP\nwmA4wuu7TcEsz8TdRN3mNeiKxY6b+1syiztxYvdF8nEOR7qSy2GrJwC/bJ2/S85wfUS9RA7NIrJv\nAXrI9BB0VVnCQO2//w16KEQkqjO1tYvbHz/Ohet2c+eh/8M12Eepv4Tybuv6emFRgVNYyoYRykuU\n2AHoh+aRb0t4TldEEM9pGBxM8yZprm37e2HL41HsKbXEjXQDXbOOUS7oZdfb9vGtW6pYP9caMz04\n/PW/bsfQGfcJ9UtZcsyH9sOOV0+UX3EVUx74WuJ1ye9Hj4SoazMfaHmrV+OellrpFe9WnLzwiOyz\njL+oFHIYDX9Yu499x6yqjnWHX7eOudj0UIUOHiDcnFqBMhSGAVKgx9RNMQyqj8cexv4Ast+a/xsm\nFCYWWlWS1ZjNVdaCb/YrhGUvxLbvefGFER0DpIYnhpKSHu9yzFPOaBjrx+8JCEI6lPLKi3wpq6h4\nyZ/rBCfgofjI9fOZWV/C/bcuGbN92ksAwXyYxWPMUd1g3dZjiS6De2qK+WH9lURsD6ze9S+nJCHG\ns7Alfx/+BWutfYeL8YTNfU+rmZXR8zNUM7G4p+Fgcy/3ff9l9h41V0aSHEX2ZZ4Yg9HsPA32b/JM\nNvs6eGzCP7U3XM+n3rGY685uzPTBrLAetBLhPYsJvnY+encl5y6qI9/vpiDgYeXs6sT2RfnWA6p3\nIOLIadh1xJoopLwewjGjIa5c1xPuTdTWD1dyeWLnMjwOT8MQMtLgzCPKN6ySSgNzpTV3ivnahPK8\n1H3EGj11l/jJn7/A/Fw0itbXy6GWPqa0WSve8kgPF2z6NT3PP8e8g9Z9fbTSw1CzUGjnUoyIB627\nHKN9ojPvyeZNiLuq5QIzpGfoGcYrw7Ng+SwzhBI51kC0vZaZBfMTRoOmG+zdlf4YW8usa0brz9xI\nKo7kcq5QtU4rXFXQrzF3r3l/GW6XU2xMt/4dtvWe8JRX4IoJIBnRKN6eLtt75Sn3/7svs+YEX1JS\nqHbcUsudVTw7kXwYZ+sOKxT29JtbE7LghYutvKPgvpFJMPdpPfjnvQSYCrDxsIpvzbkOBdiSAh81\n5aaBJkecoltyXmx+KjM9iuFjR0fcQCs53BvxdPL0wWfTzmlxpdOCQObS3rHklDMaVsQmzfdcMXuY\nLbPjRFZU9tWvS5bpSnKh6zkIT5wbE8259ULTIl84rYJ/u2UxjXUj69A5FMmd3Fw21+PjLx3gx3/d\nQXNH7IaUdDq8Jfxg8jVIJdYquzlJPMccCwPf3JcSr3kkL3275iTkoosLyzOOVXK9uH3ifurAPwH4\nwqMbae0apCvmBnZ5ByntjjKhLZJadmMYyM9tYP/999G76VWGoijfdDFK3kEkj7lvd6wp0pGCCSe8\nKo+TmgcgURDwUJjn5WsfWM3X3r/aUbfvkuXE6uq515vw2lQzuwasCVNyafTFOu0t2D2IPxiLH2dR\ncjnqcxlFEq/9J8p0SIW2DpCD/bbEt1jK/bsvn811Z0/l7qvmMrEyqctorKfG8WAnpRdenHi5+ZEf\ncbSzh/Ie5wMyLzJA62M/Y+YuM9E1KsNAYOiCMmOgmODr5xNWlxGOGsiylDiXEskKkXimbCOw3BJF\ny9QwdvokS99idoN1f82MhcGih2cS2Tcft8uVWJxENZ2ju8sSyrd2wh5rYA/c/6nh4/q2rnHBLWcR\n3r2E6+tvpqEpxO3/Z7nVvbrh8DT4pABe2fytfrTt586cgrgkfDRKuN8KMRTMW5AiWW7PqXnXxTNT\nDi+0fQWRYw3cOvfaFG0Qn26Nl95fxPGYvHfJeZaSZjaVX3Z6I7ZqEZuktn9Kalg1/nwoCqe+Jxd0\nItWbr+uDg/Sse3FEx+EwGjxBgg3P8ee9T3Dv2s+k5GrFtXyW2mXYc8gpZzTcffVcvnL3KlbNqRl+\n4yw4kenSrvAoy1JK7/lc5DS888IZfOODZ3Du4oljts/hkCQpZRKPr4zizYL63HkYV1l6+MnxQk03\ncFUfTNQ2633F9LxyLrNa2nHHdBZkvz9jLDtdMzFJNx/mvZE+jtmkrOOh3rrOAW7763Fu/HsnV/81\ninGogeU7JnP9U1188Ddt1Dy/hUhLM8e+9x26171Iyy9+Rs8r61Mm0spYOWTFJCuRyd1jrpY019hZ\n7+3dqV6ReO253+tOWWmB1VTpWMcAkZA1eN0D5mQc8LmQ83s4XmR99oa/d5pGU2zeSe5yuWpONSeK\n3aBuqEmv6Bcn0WjIMNh50JyUM1VP2HVEKvWZGFE3RtRDQ8DsKFqc7+WyVQ1MqipIGHtx4h1bD/Ye\nQrbFnwfVnZTQRVn30DH+lnIP1zdex4TyPIrzvfz3h87gwmXDd8aNX7uS7qbQaxoyyR6wOaVzUz4H\n5urwgfet5At3LneEvqqSqqOK8ryJeeZIWz8gobU554iQupiOYqfRM7Bju+Nv3TB45K87ePB3W9h1\nuMvRwVIOS9QNttLQ7WP1gRJHrwg5yWiQDDcT8q05+s0OSyMgrspoaFG0kDUObn8gTRm7zRBJE6LU\n+0oxmmZR7CtKEcLacaALI2JeA67SVnriAl5ud0L0TA8NHaIJRTSOtFn3vV3d0t1phVK9+akS3nEj\nRg6lhlx9s1/hsRorRNvy6I+HPI5kdMNALm3GO+01Aouec7z3nc0/cghqxfMd7M+rXHLKGQ2yLKUX\nIBolJ7JK9Huti1SWJcqKnFnVcaNhLLsESpJEaWH6rOhckjJOsbiuq6wFT8M2kDR+sj2asOL1pKWT\npukO7fjQ7kWAxLR+K2aaP29+xt9j1dwaqsvyqK3ITzzUos1WGOWR7T9L/FtP88CZ3NPJh1/cyKrX\nN1LX4WyOA9Dykx/R/ew/af7h9+l40imLbYpC6fSVm+ptkm4wuc/MF4jKY2c0HEyTAZ3OkLBjH66d\nB6zP98bi1YEqM4/jtVnWpFbWq3HZCz14YyEWI+n6PNEwC5gPyivPaCDf7+bqM7OvKIknbO1pyqxw\nF3ez6hE3wc3nENxyFn5XakVD8kNE7zMfuiEtRFep8x669pXfE4iFbg4p82jyVdDrCjB4yU08sbqI\nv68o5PEzi5lXOZsvvXsFX/vAakoKfMxL6kJZnEYMK/7g0zSD3nBfyvuV2kxuXpla+RGnqjSPSVUF\nrJpTTV1lPnMaSpk+sYSZ9SW2bQIp947eV5xIlrxpys1MCjTSH67glxdbxkdyp8V9R3t4cesx3tjb\nwQO/eA3JEyZvUOecjb18cvfvuLXpSSLf+xqVBw9a3yPB3vnVjsWRphssqV6Q+Ls7ZF2bcU+DEdVw\n2ZpGyT5/SrWIPbyTXK0W5+bzh2hBH1vUyPk9PHP4uUSZtewzf399iPbYTe39vP8bz/PZH29g/XZT\nd0KzNd/yHbLEVLwFqWXq8VyMcFRPdKa105YXpcNmzIdGkF+xpXUHvumbcZWlSv33Rfp59rDluQhH\nNDx6hMLu1G1zwSlnNJxK2C23aXXFCVW/OHFZ0xOp0DhZFCet0lJc57bMbXfVEQLL/s7xwk3IVTEX\nmKY5srOD+iCTOvq59plOlm4oxB+EC1vXM7vvgLl/ZRa+uokZ3dI+j4v/fM8Kvvju5YmJOnzMylY/\nOngEubQldmjpL1tXlhofwUMHHX9rmoEUsOK/F71slZb2e9NrWoyGdCupy1c3DPmZ/7jL9rCxxcz7\n4kluJeZk11Xk5vBV1yTetwtpJec0JIenRsvVZ07lf+45M217ZzvpKiqGXtLULwAAIABJREFUIh76\nePnNFtDdoHnSGpvBJIl1ew+DL234BpO+/z0CM5KVRuFARSM/n3QpD025gW/t9hGavpjtjQGCfpk8\ntx9ZlhLeg+Tf7CPXzU8c3yUrTaM2/uCL6jp5mtNFvGLCYh665R6qSlNXqslUFAf40rtXcO/Ni/C4\nZd51yUwa64r48LXzCPjcKRLwRjiPf1vwCb665nOcNWUxPo+L6NFG2krdRGOHPbBjO0ce/G9CTUfQ\nDYMv/3yTYx9yfjeXvdDFgt3pH66bZuXxg+srODSvxvGA13WD8yZZ/T/Cuk1NNWY0REJhtEHLKJZ9\nPsqTFl52QyTT4uvshbVpXwcwgtYCc+vgOr6w/qsEo0HkgPl66HB60aNNahuf+dErib/j3XjjK/iz\nX+3lhkOWeq0vTa8ZX6x0PRLRuKzkDsJ75jO46XxHJc8zKywvRPMff5fxPBznZBjIhanJjXcqdyb+\n/c/DVnJlXc8R7t33K6b+38NZ7f9EOeUUIU8lPG4XN583jd1N3dxwbiP5fg+3XaTws6dUx3anW/UE\nmAmWD/5uCytnmy7GlHrxNIp87ppD7OzxEJ8W9UgEV2yC6A0d5vK13fgiBpNa93IGSV0iS8ycjKEM\nrPh7U+PKb5qHM0ouYl2XqcjoKmpH76xO62lI5qlVheycEiC8fw6e5io+eFEDBX/9FaHDh4j2WKtc\nwzBoau/HO2MXABe+1I1y0Hrg7i8fmfjRUNx/6xI++8gGZtaX8LEbF9DTH0koRWZiQnk+bpdEVDOQ\ndNuqRQ/hnbWVwYAZtplVNoOy6qV0ep6hNOL0aESSKg9Gk4+QiWw8eTMmpebjnDk/sxR3Ou2CdAnN\nYZu+xhnzali31Wk0fmLt51g690aWtnXi6zRXYVEX9AWqAeshuXN9De6aEFpXFfKZzu+eWlvEnIZS\n2ntCfOa2JeT5PfzXe1eyp6mbRdMrHceraQYKZ7Ox9WUMzcNFsxZx07zVGc9zOKpK87j/Viuprzu5\nLBloqLAeZn6vC72nHCkaYNOsvISS4cC2Nzi47Q2omwz+sxzuK4+7jwntlvF1xF9J0eR6ekMahwIH\n2DLbTdgjIyE7HuqabiBJEn6Xj6AWSig/AkS7zGty4JWXKJxirdYln2/I6yWTh3Wo+TW0fRWB5ZZi\na39kgF+pf+Dculro6CDS1pb2c7/+xy7H33FlTs3QmX4wyMJd1vVxIFDDjPyhPQ0+qSCRuBnZt4DI\nvgV86pZFeBZ3E/37581j3fQa4ZYWvNVDhwcPt/ZZMvZAeP9stI5aHtpwlEBMObsr1E1Ei+BxeTj/\n6LoMe8oNwmgYhguX13Oh7e/kOCqcnkbDlAlFPPjhNYmbOLnOVy5I3w771c43iavnG+EQxCz6oiP7\n8UXSr/R1SaZwyTJzv1mMVUmBNXnUyjOpK3iDpr5jCW13tWAy83sto8T/tS/z9Z/uIdDdhibJHPcW\n4atdi8wg3ilvEpY1vvlKH/dW1eE6fMjRk+CV7S0gR5GL2zj/lR5mHbAm5kcnXopRMHbJRROrCnjk\nvvMSf5cXZ7fid7lkopqWSPQD6CjegP3TFYFyfL4AD9VfhVePcJ1yCO+GjfTmyeyprIDY3Ol2SSkJ\nZWNJciweYE5DGT6vi5Ct1nzZrMzjGk0j9JXuYWN/xSxPlQipS/Ap1mr6pZY3CLrqOR/TaDhQ60eX\nA9iNBjQv0SbTBZ682pUliXtvXoRhGIljKCvys9y2Yk54GjSDQlcJkQNm/sJVNy9nLJkzpYy9RzML\nrMVX8aFD01k/P0jQK3P2a7ZwSdNB7uPnvFY0g6crVyD5BqmIdCXG8Ve1F3AwrxY0WD6vii3Sn5F9\n5r2iG7rDSxgPzXpcHoJaiJBNJ0EOBNB6zeNcs99M2tMkywOxZt4EXtya6qqfUJ7PDec00t4d5NnX\nrWS/oT25EqFdi/HNsBpDvdqymXwjxELMyoV0Ms7J3ra5U01vmafzOJeus8b4lZLZNC08z/EMSOwj\n5mkIR/X0irgGVOVXctT2WvMjP3TIbKfjUEtfQt/DEy1isM0K02odlUwbPMLUphDNR35G1YWXUhwd\nvkpmLHlLhieGc5eeCPOmllnte2OMZU7DeGKfiK88o8HxnhG2Jv+QugS933T92lUijz76o0QpUaTH\neeEamFKqf60/n8ZvfovCxWbJaDahHHtsU9MM8mOSrJJLA3eYfZWF9MSU5boKXOR585BdMm2+Uo57\niwEJo9+WxDR5J75ZG9kWOQBAuKUlkZNxqKUPV0kb/rCeKC8DeLzqDJr9FSfUu2SsiIuM/enFAxm3\nuXDyOfg8LnRJJujy0T97Dr++uIy/nlVCKGCdRL4/vav/RPngNXNZOK2Cj964IOU9SZKYlaRvkSzR\nbqezN3VFPdx1ExfO0rsr+ficT1jfU9LG/sCERIOng/WlGGkm+OG+Z6gx88ZWnKGI5mgalS6590Q4\nf8lER0luMrMbzHJU7bjpPdw8M49vvb2SwFKn9Pninl0sHNyGf+Fah0xym9f6jTbsaCXaYXmDaguq\nkSRLqyH+kPTFBLjCurXoaJuZaixFPa7EGL79gulcvrqBT759Ucp2l6yczK0XpYaUhkLvqiLa6kxY\nbS6wfuM9H7o7tUQ86RqIe9/cvZbBYJSWU3LVtXzsxtTjBCsRMhzR0hoNhmHgllyOHJPg3j3s/cgH\nOfKNr3L0u9+m7Xe/STm2gVA0oSTq93iRDZ23Nz3NfXt+xkee3sGVa7uZuzfI4NoXOPj/Pp343N/O\nGF1fnJHyljQa7rx0FivnVPPeMSrbtONxu3jnhc6L+nTMaUjmouVO7YbwvnkYEQ/R9lr07kqMmPJZ\nS7kVLw1u3Ubzw9+j/81t+LutsjX9377MVxpv5bsN17PVW4enwIo1v+NtZilpck6FHVmycut/++we\njsS6QrpKWwks/if+uS/z+Hl5bGv088yKQvK9qVnZhpbqRGvOt1Zdh3/9W/M8oxpySQvX/NPyrJRf\nez3bisxkwXMWJnWWOgnYHz6hnc4HgNvw8+DZ/0mZv9ThoQkPWudvvzzzc1TLvUSp4iPXz3cIUjmO\nM8m7MaR8chrS3WKr51rZ+3YPYJ47PyGF7iruoKPIxy/PnsifzimmvaGBIWyGUcnOx8d07Zajw2x5\nYhTmeXnvlXN47xWzKcrzJHqUxFmiVJplm4YLz8FYWESS4B3XUrDU+SC/+OjrVB6PMCWueppfwEBS\nsqnW0sCE9ou4bdZNXD/dlFCO32dPbjjEN36zGVesdbhdkXHPhHnsTeoOqrut6zHgc3PtWVNPSF01\nmciBOWanzKNmUq7a4Ax17P3IB4h2WeWUyQ/5qKabvVFsCd51936cK86clraqCazwRCSqZ2jYZ0q/\nt5V52DjbeV8M7NhO32ub6HzqCfq3vuF4LxgzGuqPhVi8tYN/2/sYk2MNwtwZ2pD3BWQOThif/hNv\nSaOhKN/Le6+Yw8oxKttMJnnCOx3DE+m4fLWVeGgMFhJ8/bxYjbiEHpM+Hgi4eGqVZdH2btxA0ze/\nzoIjZpVE2CNTN7EiMfuuSYpdT64p5OsfWM3n78zsupUkKVHPHYnq9AZTV55tZR7+saKII1VefC5P\niuHmd1uThqGZN/2uemtSPPr439DDYSJRnRntHVR3xhre+HyUXXwpn33XUu68dBbnLTkVjAbr3PSe\nCspdVmJYiTERT6wstKzIl0jccw2WoQ/mow/mQ7uVwDuUsZZLkhNth/I0pBOpSWeYnzFvArddrPCp\nWxY5WkxrmsHMUivjXvL30V7m4mCtD78rL2OTLlmSRuWFKRwnUZ04K+fU8OBHzky5t4DEg3ig13rQ\nvdL8KpU33sxxv/MhfcuTnYmEWd+MmWktJr9exooJSxIaIfG5rqc/zJv7j9PVY66I7UZDOKrR4XXm\nsYT9Y1MRFv/t1sxLkxNjyESPzEA7XgWSxFMrrcWKHgzS9c9/JP5OUZ/UNL71+g9o095MvOZO0yfD\nji8RntDoSFMFZRiWkulLC/L53ex5vFIym22FU/E1WPfkwJtbrePUDf704n6mHe/gmme7WfhGi2Of\nb5RN4umVhTxyZTmeO99ByS2384/Fpfz2wlLC3vF5nL8ljYZck7xqOl3DE8nYS0xNzPOqKs0j2txA\npKmRSFMju8oreXpl+tr8iEeiMM/L/bcu4fwlE9NO0GVFforyhp5o7SGKyKFU0ZcEmhtZlh3bN9YW\nMbXamiAjR8wHiO6SeGqVedx6MEjfls2U79vCFa9Z8dNJn/p3JFmmoaaINfMnDPlwGy86epxGU2ub\nlRvgkayJTZIkCmLiRAePDRLetobQ1jOQNWsbuzdiPPG4k0vtMt8z9960kElVTuEmLY2inixLnLOw\nDqW+1GG4b9jZglJmu+5k3QxtAV7Zy+SaQh64exVfevfylP2NhnSrzBk20abxJN9v3lfRASu8+PyR\nl/jL1k4ePbuO79xUyYAv9Tw9E9JXKCSPSfLvNjBonnt/OJTQFAlHdUJJv3dfZfbtuofiouWT+I+7\nVvCuS2Zm9FSED5oe5p1TA/zvedbvcPxvjydW9XYxObm4lV15f2R31z5ctnwat3foJOVEImRETwj/\n2Y1yPSbJLyGBJHGwrIRnK5byePUaJv+/zxGYaXqKws1Wy/Z4WfbENM0BH6u7iCcmLWbH1AC9BS4G\nlEl4l69m63Q/vfkuFhedMeTxjhUnf0Y8DUmev4bqm3A6kSnMYoofSUSbphNtmo7WWc2OqQEeuaoc\nd1Im8P7JZoJPY10x73jbjIzSpvYV3fQ0EtL2ZmHGgDNWp3XakuhiLZTtk1lRvpepvjnoAwXoIT96\nZzXBLWcBOMRvjjz0HWZutjQbWudMxF/vbEp0SuKy4tAByZlQFe/Y+cbejlgNv+yY+E+GBgikGitD\nhScm1xTyhTuXc8FSS7woGMrcsAec9+TjLx3Ea2t25Zu+OdHh0usyX68qCaQkNY/WPrSHSQAWTa/g\nA1enF3PKNf5EmbjMnFLz4akbOk83PYFcfBzNJfHXM533m6eykoJlK0lHskR+SvlsrKLnzYNtfPHR\nV9F1g+PGEUJTnaWOrqljp/BbW5GPLEtce/ZUvG6ZuVPL+JK9NDniT6hlHqnx0r/EWnQ0feu/6V77\nfMLQc09S8SmvEXWbOVlu22Um+4b2ysXnfU03EqqM9mdB/JpMdDiVrItU141EAyy72FzfYARcEaq7\nTCMk7PPw87qL+UrjOzkSqHZ0yP3ulkd46uAzIJsH7XONz70tqidGQXmR88eZM6Usw5anF5nEVWor\n89my15KU1QfNVWBvvoui+z7Bxvu/SV24hW0zfGxdUs6NWX7ff75nBU+sP5TWzZosN2sn0tQI7jCS\nNwitppvP/mD0uGWKvWWEtq0h1p4JZPOm7ixyM+CTyAulrg5bz5mX5ZGfZGz5GhP9Tu2QPL8npRLG\n3nY8ucPpeFFb4TRusgkD2EMOwfDQWg+hiNOo6B9IH/vNc6XvIgoM3XJyCJJFpi5aXp+2ymo8CNi8\nhRW+KsBUhHTXWA/xo1VevrLgSoz+Yh65zxRrM8dvJ8kM532Jh/5cxR206mv56E8PYBQ3YxTayoNd\nMrVLzx3tKWWksbaYb91zJl63jCRJfOndy5Flift/+AqRI9NxFZtz1qONHdzQWU7V/uNgGLT87Cc0\n1p1NQ2gH9U3tPHZZGSGvjKQbVLXYVC/dQ3tD7QuiHTGl03hSLMAfX9jHwukVMaNBQ/KEkEub0XtL\niUT1RDtxI2Y0RDWdN/Z24CprZqJq3sPeUISmgLVIMiLOZ8/alucTUaXivLETRRwKYTSMAo/bxX3v\nWMz3/rSNS1ZOPmmrt7Emk1dgTkMZT6y3rRxs7WD/efA1nrtMQvKYln3pCGSXJ5Tnc+dls9K+l7wS\njbZOxF1l5k0YgwWEd5gro3h9tX1F5JJlW3g2rmHsplSfTKf7II9dVk5Ne4TJrnIWPGs2tNnW6Kes\ncvyku0fCHZfM5CdPWBO61lWJq6wFvb+Q+Y0Njm1vOm8a3/q9M7EqYnPF5ioRcjiSvVhDde2LU2fr\nLVGYN/RDONlo+NT31idq2u0UeaxVttfjwuuWE3oPkWh6Q2M44iGBOOPVOCgddgOmc18NpMlLjRye\ngdHvDJ9kChcNF3o1QrZOpKWtaKVmaWuT7uHVWXnUHvKwuWwxH5o4dkmPduyGX/x6cckSWn8RRtiH\n5A0RdUv8aqWL+xZdyeD//hmAS5ueT3zu7t+30+vzUBhyGtvDGbbpqmPKivwxmW9Tb0HXDbRY3xR3\nzUHcNQfRBwo53DMXOVYhYYTD7DnSzZcfM0uFpxSmT6gtzvfS3W/qNninbE99PzC8gNhYIMITo2TG\npBK++eE1WWnTny4sm1nFtLpiJif1EphYVeCI0eqD1mrt+dZ/JJo8gSlxOhYkT1bRlnq03hLC++Y6\nlBHj29m9JMnx8zi1fWfzDuV6Bv0y+yf62Dm1kN8vnsqrs/JYu7iAMyaMbV39WHHmgloeue887rjE\ndLNq7XUE31hDaPsq6iqdv5U/Taa3fe47VSp96iqGV9pcolRyzsJazl5Yy7ypQ3vzUveX/jzrAs7w\n012XW27zUToaqC5zrvAKh8nXySX23/+VbV0MvnpByjZx74CdTMZBsqfh5vOcOUrRo+klxA1Zonnp\nOUy49/Pc+tGbxrz8dCjM0INMeM/CRD8SgP1zKnEVp881STYYCpYsTbudnTkNqddk8v334W+ltsWW\n83r55hvfZkOHadx393XytZ+9jMvQKI72cNPrlnjgwMWW33ZCrKum1lbP4IaLibY5k7SL/UkN3HKE\nMBoECdwumX+/dQmfvd15w+T53NRX2y7IqM9hONi5aPJ5aV8fzbHYMQaLCO9Yidbu9AbEVwP2yc3e\n6tvOqztbefSX/SytMuuuj7b3c6g6j3WLCgi4axNVCKcqU+JKmUgYwQI+ev0iipJW4Okkou0rppG2\n6M0FFy+vzyo8IUsSt108k9svnjns9nWVBbzvyjnMm2pptIR2LCfS1Ehw22qi7bWEdizD73E6V8dC\nUjvf70n8NvMby4f1iuQSf1KoBD2NMzlNObIkSfzHXSt4/9VzHWGhZGNiwbSkhEbdTXj/HKIdNWi9\nzgfylFIzSXU41dN0XH9OrOR50eirl/S+UkJvWoqc+7qPMeWBrw77OffFV1H1ztuG3c7ndfHwJ89x\nvOZxyXz1/asSfw+GMofVIrGOpIG+IPfu+zWf3PsL3n/gT4n3e6bXkr/SOv6KYqdxqvc4jZb6ovGp\n9BJGgyCF5Ana7ZJTKitCb67GQ+pkMKd8ZMIsmcg08Z4xz5l0FjcW7OEJt0vO+HCMagavbDObUUl5\nPbhi7lSvPPKJbbzJ8zt/g3QiZunUHsts4bOTFZ6wt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"text/plain": [
"<matplotlib.figure.Figure at 0x7f2ee5f72710>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"data['Daily rolling 10']=data['Daily change'].rolling(window=10,center=False).std()\n",
"data['Daily rolling 30']=data['Daily change'].rolling(window=30,center=False).std()\n",
"data['Daily rolling 60']=data['Daily change'].rolling(window=60,center=False).std()\n",
"plt.figure(figsize=(12,6))\n",
"_=ax=data.plot(title=\"Bitcoin daily change (%)\",y='Daily rolling 10',x='Date')\n",
"_=data.plot(y='Daily rolling 30',x='Date',ax=ax)\n",
"_=data.plot(y='Daily rolling 60',x='Date',ax=ax)"
]
},
{
"cell_type": "code",
"execution_count": 92,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<table class=\"simpletable\">\n",
"<caption>OLS Regression Results</caption>\n",
"<tr>\n",
" <th>Dep. Variable:</th> <td>Daily rolling 10</td> <th> R-squared: </th> <td> 0.178</td> \n",
"</tr>\n",
"<tr>\n",
" <th>Model:</th> <td>OLS</td> <th> Adj. R-squared: </th> <td> 0.178</td> \n",
"</tr>\n",
"<tr>\n",
" <th>Method:</th> <td>Least Squares</td> <th> F-statistic: </th> <td> 472.5</td> \n",
"</tr>\n",
"<tr>\n",
" <th>Date:</th> <td>Sun, 08 Jan 2017</td> <th> Prob (F-statistic):</th> <td>5.36e-95</td> \n",
"</tr>\n",
"<tr>\n",
" <th>Time:</th> <td>12:48:59</td> <th> Log-Likelihood: </th> <td> -5749.0</td> \n",
"</tr>\n",
"<tr>\n",
" <th>No. Observations:</th> <td> 2183</td> <th> AIC: </th> <td>1.150e+04</td>\n",
"</tr>\n",
"<tr>\n",
" <th>Df Residuals:</th> <td> 2181</td> <th> BIC: </th> <td>1.151e+04</td>\n",
"</tr>\n",
"<tr>\n",
" <th>Df Model:</th> <td> 1</td> <th> </th> <td> </td> \n",
"</tr>\n",
"<tr>\n",
" <th>Covariance Type:</th> <td>nonrobust</td> <th> </th> <td> </td> \n",
"</tr>\n",
"</table>\n",
"<table class=\"simpletable\">\n",
"<tr>\n",
" <td></td> <th>coef</th> <th>std err</th> <th>t</th> <th>P>|t|</th> <th>[95.0% Conf. Int.]</th> \n",
"</tr>\n",
"<tr>\n",
" <th>const</th> <td> 6.9094</td> <td> 0.145</td> <td> 47.579</td> <td> 0.000</td> <td> 6.625 7.194</td>\n",
"</tr>\n",
"<tr>\n",
" <th>Date_n</th> <td> -0.0025</td> <td> 0.000</td> <td> -21.738</td> <td> 0.000</td> <td> -0.003 -0.002</td>\n",
"</tr>\n",
"</table>\n",
"<table class=\"simpletable\">\n",
"<tr>\n",
" <th>Omnibus:</th> <td>812.011</td> <th> Durbin-Watson: </th> <td> 0.072</td>\n",
"</tr>\n",
"<tr>\n",
" <th>Prob(Omnibus):</th> <td> 0.000</td> <th> Jarque-Bera (JB): </th> <td>3098.355</td>\n",
"</tr>\n",
"<tr>\n",
" <th>Skew:</th> <td> 1.818</td> <th> Prob(JB): </th> <td> 0.00</td>\n",
"</tr>\n",
"<tr>\n",
" <th>Kurtosis:</th> <td> 7.565</td> <th> Cond. No. </th> <td>2.55e+03</td>\n",
"</tr>\n",
"</table>"
],
"text/plain": [
"<class 'statsmodels.iolib.summary.Summary'>\n",
"\"\"\"\n",
" OLS Regression Results \n",
"==============================================================================\n",
"Dep. Variable: Daily rolling 10 R-squared: 0.178\n",
"Model: OLS Adj. R-squared: 0.178\n",
"Method: Least Squares F-statistic: 472.5\n",
"Date: Sun, 08 Jan 2017 Prob (F-statistic): 5.36e-95\n",
"Time: 12:48:59 Log-Likelihood: -5749.0\n",
"No. Observations: 2183 AIC: 1.150e+04\n",
"Df Residuals: 2181 BIC: 1.151e+04\n",
"Df Model: 1 \n",
"Covariance Type: nonrobust \n",
"==============================================================================\n",
" coef std err t P>|t| [95.0% Conf. Int.]\n",
"------------------------------------------------------------------------------\n",
"const 6.9094 0.145 47.579 0.000 6.625 7.194\n",
"Date_n -0.0025 0.000 -21.738 0.000 -0.003 -0.002\n",
"==============================================================================\n",
"Omnibus: 812.011 Durbin-Watson: 0.072\n",
"Prob(Omnibus): 0.000 Jarque-Bera (JB): 3098.355\n",
"Skew: 1.818 Prob(JB): 0.00\n",
"Kurtosis: 7.565 Cond. No. 2.55e+03\n",
"==============================================================================\n",
"\n",
"Warnings:\n",
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
"[2] The condition number is large, 2.55e+03. This might indicate that there are\n",
"strong multicollinearity or other numerical problems.\n",
"\"\"\""
]
},
"execution_count": 92,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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FC+7Y5V5Hw40jR0rK1NLuyX7bzjmSJEnS0MnLy+fJJ/+U6jD6lJeXzzXXXJ/q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jkIq7I5KrOy0KchFPdJDCpxv4dH2Hhdzxjve95ks/UEilcPZlwG3HPzKO2fQ0SikGYjk+2v2U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UAqhdaxb/heOJ47wmxtgVbQRhc6VafG38z+lLdXzlGRZSQhWmDy3soFHhq6b5dwxV4oZGxK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Ddt2/4V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\nAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f2ed0a1b550>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#First, we could do some curvefitting,\n",
"data['Date_n']=(data['Date']-data['Date'][0])/ np.timedelta64(1,'D')\n",
"fig=plt.figure(figsize=(10,8))\n",
"sns.regplot(data=data,x='Date_n',y='Daily rolling 10',scatter_kws={\"s\": 10,\"alpha\":0.5},label='Daily rolling 10')\n",
"sns.regplot(data=data,x='Date_n',y='Daily rolling 30',scatter_kws={\"s\": 10,\"alpha\":0.5},label='Daily rolling 30')\n",
"sns.regplot(data=data,x='Date_n',y='Daily rolling 60',scatter_kws={\"s\": 10,\"alpha\":0.5},label='Daily rolling 60')\n",
"plt.ylabel('Daily change (%)')\n",
"plt.legend()\n",
"import statsmodels.api as sm\n",
"\n",
"y=data['Daily rolling 10']\n",
"X=data['Date_n']\n",
"mask = ~np.isnan(y)\n",
"X = X[mask]\n",
"y = y[mask]\n",
"model=sm.OLS(y,sm.add_constant(X),missing='drop').fit()\n",
"model.summary()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Perhaps it would be better to use a nonlinear function, something like an exponential with a decreasing term like $f(x,a,b,c)=ae^{-xb}+c$ . For optimisation purposes, I noralise the series first."
]
},
{
"cell_type": "code",
"execution_count": 95,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Parameters: [ 0.26753345 1.07601779 -0.4516436 ]\n",
"Parameters: [ 0.36183029 1.01534461 -0.57939952]\n",
"Parameters: [ 0.42689696 0.98383072 -0.66565455]\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f2edc751748>"
]
},
"execution_count": 95,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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DMjKBRZSRthDiA1DZ6L8HtSzfmVBZ0n8gpXSnteReh+zXnuf1UJPZo/57DtQv8bVQ65K5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J5w7Kjt2cIGN0qJE8szAJzszeKn9++2Xd1x0jZrj//e/Vvb42oR/fWICSLOn75S+1xv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UNp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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f2edc0db978>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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jD7Jt21Y++OAdVqz4mEsvbb72RiOZ5yYI3t7GBa/1Bc9Wjw5eK15N48zM01n8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\nGDb5iZLBvVRWioVZuGSh6wRtu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+R4B5VFaSeby+g9fmCpKmeb8T8mgWZbhdo2AWjOM1++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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f2edc6fcfd0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from scipy.optimize import curve_fit\n",
"from sklearn.preprocessing import normalize\n",
"def normalize(X,Y):\n",
" mask = ~np.isnan(Y)\n",
" X2 = X[mask]\n",
" y2 = Y[mask]\n",
" return (X2-np.mean(X2))/np.std(X2),(y2-np.mean(y2))/np.std(y2)\n",
"def func(x,a,b,c):\n",
" return a*np.exp(-x*b)+c\n",
"def plot(X2,y2,popt,n):\n",
" plt.subplot(1,3,n)\n",
" plt.plot(X2,func(X2,popt[0],popt[1],popt[2]))\n",
" plt.plot(X2,y2)\n",
"\n",
"y=data['Daily rolling 10']\n",
"X=data['Date_n']\n",
"X1,y1=normalize(X,y)\n",
"popt1, pcov =curve_fit(func,X1,y1)\n",
"fig=plt.figure(figsize=(12,6))\n",
"plot(X1,y1,popt1,1)\n",
"plt.title('Exponential fit for Daily rolling 10')\n",
"print(\"Parameters:\",popt1)\n",
"\n",
"\n",
"y=data['Daily rolling 30']\n",
"X=data['Date_n']\n",
"X2,y2=normalize(X,y)\n",
"popt2, pcov =curve_fit(func,X2,y2)\n",
"plot(X2,y2,popt2,2)\n",
"plt.title('Exponential fit for Daily rolling 30')\n",
"print(\"Parameters:\",popt2)\n",
"\n",
"y=data['Daily rolling 60']\n",
"X=data['Date_n']\n",
"X3,y3=normalize(X,y)\n",
"popt3, pcov =curve_fit(func,X3,y3)\n",
"plot(X3,y3,popt3,3)\n",
"plt.title('Exponential fit for Daily rolling 60')\n",
"print(\"Parameters:\",popt3)\n",
"\n",
"plt.figure(figsize=(12,6))\n",
"plt.plot(X1,func(X1,popt1[0],popt1[1],popt1[2])-y1,label='Daily rolling 10')\n",
"plt.plot(X2,func(X2,popt2[0],popt2[1],popt2[2])-y2,label='Daily rolling 30')\n",
"plt.plot(X3,func(X3,popt3[0],popt3[1],popt3[2])-y3,label='Daily rolling 60')\n",
"plt.title('Residual plot')\n",
"plt.legend()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"I would say that the fit looks right (It seems to be exponentially decreasing, and it seems that variance is decreasing) especially if we remove some of the 'big' events like bubbles, etc."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we bring on ADF (Which I don't have experience using), checking the results we get for both a series with and without a trend. [Here](http://statsmodels.sourceforge.net/devel/generated/statsmodels.tsa.stattools.adfuller.html) there is the documentation for this function. First I run some tests to see how the function behaves. The parameter of interest is the second in the returned array, a pseudo p-value. I'll take it so that if p-value<0.05, we can't reject the null hypothesis"
]
},
{
"cell_type": "code",
"execution_count": 82,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
"text/plain": [
"(0.030371082537879741,\n",
" 0.96097283593236305,\n",
" 5,\n",
" 94,\n",
" {'1%': -3.5019123847798657,\n",
" '10%': -2.5834538614757809,\n",
" '5%': -2.8928152554828892},\n",
" -130.36360151635336)"
]
},
"execution_count": 82,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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BEHXNPuqafWSkpVBZlh/DqqW3KfhFROJcdUM7Ly7ZxfLNR6Iz7gHkZacxe3IZc6aUkZuV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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f2edd214c88>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from statsmodels.tsa.stattools import adfuller\n",
"#Here there *is* a trend. Null hypothesis is: constant (The variable follows a random-walk)\n",
"#Because there is a trend, the test fails.\n",
"plt.plot(np.linspace(0,10, 100)+np.random.randn(100)/10)\n",
"adfuller(np.linspace(0,10, 100)+np.random.randn(100)/10)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here there *is* a trend. So we tell the test that there is, and ask: does the trend change?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can also do an ADF test assuming that there **is** a trend:"
]
},
{
"cell_type": "code",
"execution_count": 83,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(-6.0891054304079377,\n",
" 1.4245907097885184e-06,\n",
" 3,\n",
" 96,\n",
" {'1%': -4.0563093932201246,\n",
" '10%': -3.1544345187717013,\n",
" '5%': -3.4572550874385124},\n",
" -161.30436800688932)"
]
},
"execution_count": 83,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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LQrPwjR6czRdmFkW4IhEJNwW/SIzYvr+OZ97fDkBudgrfuKFYM+2JxCD9rxeJ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\niEgMUfCLiIjEEAW/iIhIDPn/4lFBvSNhuGMAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f2ee5fc3cc0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(np.linspace(0,10, 100)+np.random.randn(100)/10)\n",
"adfuller(np.linspace(0,10, 100)+np.random.randn(100)/10,regression='ct')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In the next example there *is* a trend that *changes*, but from a constant underlying function, a sin(x).\n",
"The test still says the process doesn't change. Using the 'ct' option also says that the process doesn't change.\n",
"As the changing trend itself (a cosine) is also stationary around zero"
]
},
{
"cell_type": "code",
"execution_count": 84,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
"text/plain": [
"(-14.936838558057197,\n",
" 2.3543437151057883e-22,\n",
" 22,\n",
" 977,\n",
" {'1%': -3.9680661492141187,\n",
" '10%': -3.1297006047557043,\n",
" '5%': -3.4149932715005722},\n",
" -8471.9770767955488)"
]
},
"execution_count": 84,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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fWssMSzNGRGIYrQ1zOfPUm8ZyFaTjtDHpp+NnYsNg68Fk2EvDTgC9nkdRlI7T6fUBJkmf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\nwcGhFv5/NWYfcePvX2sAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f2edcb75080>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\n",
"np.random.seed(42)\n",
"n=1000\n",
"space=np.linspace(0,100,n)\n",
"var=np.concatenate([np.sin(space[:n//2]),np.sin(space[n//2:])])+np.random.rand(n)/100\n",
"plt.plot(var)\n",
"adfuller(var,regression='ct')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can now try to see what would the test say if it saw the function we just fitted."
]
},
{
"cell_type": "code",
"execution_count": 85,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(-16.794102051514088,\n",
" 1.2352461745010984e-29,\n",
" 25,\n",
" 2107,\n",
" {'1%': -3.4334573966160153,\n",
" '10%': -2.5675007703726296,\n",
" '5%': -2.8629127187998606},\n",
" -18524.80171562676)"
]
},
"execution_count": 85,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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TUIhyGSkJfPhy9xREXVMnD7602+OKRERkLFFQiAFLZo1j6exxAKzcVMHmvbUeVyQiImOF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\nCgoiIiIyqP8fol0whzwPko4AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f2eddfc2f98>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(func(X3,popt3[0],popt3[1],popt3[2]))\n",
"adfuller(func(X3,popt3[0],popt3[1],popt3[2])+np.random.rand(len(X3))/100)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"So *even if* the variance were decreasing given a very clean equation, the test would still say that the process is stationary, so the test is not that much useful after all."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Ok, let's go back to our Bitcoins and do the actual test"
]
},
{
"cell_type": "code",
"execution_count": 86,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"P-value for 10 days averaged volatility: 8.59786631742e-05 ***\n",
"P-value for 30 days averaged volatility: 0.000113952000692 ***\n",
"P-value for 60 days averaged volatility: 0.034705270592 **\n"
]
}
],
"source": [
"def nice(data,regtype=\"c\"):\n",
" return adfuller(data.dropna(),regression=regtype)[1]\n",
"\n",
"print(\"P-value for 10 days averaged volatility: \",nice(data['Daily rolling 10']),'***')\n",
"print(\"P-value for 30 days averaged volatility: \",nice(data['Daily rolling 30']),'***')\n",
"print(\"P-value for 60 days averaged volatility: \",nice(data['Daily rolling 60']),'**')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Thus we find that indeed for the 10 days average volatility, the data is consistent with a process with constant variance, and that remains valid for greater windows of averaging.\n",
"\n",
"Let's now examine what happens if instead, we consider as our hypothesis that the series follows a trend (y=ax+b)"
]
},
{
"cell_type": "code",
"execution_count": 87,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"P-value for 10 days averaged volatility: 4.36675365203e-05 ***\n",
"P-value for 30 days averaged volatility: 5.24203107756e-05 ***\n",
"P-value for 60 days averaged volatility: 0.0309130608266 **\n"
]
}
],
"source": [
"print(\"P-value for 10 days averaged volatility: \",nice(data['Daily rolling 10'],'ct'),'***')\n",
"print(\"P-value for 30 days averaged volatility: \",nice(data['Daily rolling 30'],'ct'),'***')\n",
"print(\"P-value for 60 days averaged volatility: \",nice(data['Daily rolling 60'],'ct'),'**')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Surprise surprise, the test also says this is true! ** We cannot reject the fact that the series is generated by a process with decreasing variance either! **\n",
"\n",
"For completion, below I show the ADF test for a number of possible lags. The test by default choses one using the Bayesian Information Criterion."
]
},
{
"cell_type": "code",
"execution_count": 88,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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584mMLNk2qToL8c0u7Zcef+Ei8VHiY0lYKkNZpVLKQZ4ef6XUn8BqrfVw530r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\n0sT+H8ijiSGVQqCUAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f2edd290278>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def makeplot(name,pos):\n",
" plt.subplot(1,3,pos)\n",
" for i in range(n_lags):\n",
" pvalues[i,0]=adfuller(data[name].dropna(),regression='c',maxlag=i)[1]\n",
" pvalues[i,1]=adfuller(data[name].dropna(),regression='ct',maxlag=i)[1]\n",
" plt.plot(range(n_lags),pvalues)\n",
" plt.yscale('log', nonposy='clip')\n",
" \n",
" plt.ylabel('P-value')\n",
" plt.xlabel('Number of lags for the ADF test')\n",
" plt.legend(['Assuming constant','Assuming trend'])\n",
" plt.title('ADF test for '+name)\n",
"i=1\n",
"n_lags=30\n",
"pvalues=np.zeros((n_lags,2))\n",
"fig=plt.figure(figsize=(12,6))\n",
"makeplot('Daily rolling 10',1)\n",
"makeplot('Daily rolling 30',2)\n",
"makeplot('Daily rolling 60',3)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Conclusion\n",
"\n",
"The ADF test is not very useful for a time series like the BTC-USD exchange rate. Here I would go with plain OLS,that says that the coefficient of the feature 'date' is negative at the 95% confidence level. This trend persist even if we consider only, say, post 2014 or post 2015 data. Using a nonlinear exponential fit is even better.\n",
"\n",
"Thus the data warrants the conclusion that Bitcoin is, after all, becoming less volatile."
]
}
],
"metadata": {
"anaconda-cloud": {
"summary": "Bitcoin volatility"
},
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