From 029a091405307ed322b1f411f4a5fe59a49f1328 Mon Sep 17 00:00:00 2001 From: Kevin Sheppard Date: Thu, 26 Feb 2015 22:42:39 -0500 Subject: [PATCH] DOC: Fix small errors in ARCH examples Fix small typos and rendering errors in ARCH example notebook [skip ci] --- examples/univariate_volatility_modeling.ipynb | 965 ++---------------- 1 file changed, 78 insertions(+), 887 deletions(-) diff --git a/examples/univariate_volatility_modeling.ipynb b/examples/univariate_volatility_modeling.ipynb index 7c40740716..cbe54d12c0 100644 --- a/examples/univariate_volatility_modeling.ipynb +++ b/examples/univariate_volatility_modeling.ipynb @@ -1,1591 +1,782 @@ { - "metadata": { - "name": "", - - "signature": "sha256:dcde5d3eda1d73fbe5af11a9f047ac0c0b13fb763fba94118ef68f8821c92813" - + "signature": "sha256:d8fe34bc5a51e824d7dee05b199a0b0ec6a590038d3d3698e04c95d276dddd2a" }, - "nbformat": 3, - "nbformat_minor": 0, - "worksheets": [ - { - "cells": [ - { - "cell_type": "heading", - "level": 1, - "metadata": {}, - "source": [ - "ARCH Modeling" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "_This setup code is required to run in an IPython notebook_" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "%pylab inline\n", - "pylab.rcParams['figure.figsize'] = (10.0, 6.0)\n", - "pylab.rcParams['savefig.dpi'] = 90" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Populating the interactive namespace from numpy and matplotlib\n" - ] - } - ], - "prompt_number": 1 - }, - { - "cell_type": "heading", - "level": 3, - "metadata": {}, - "source": [ - "Setup" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "These examples will all make use of financial data from Yahoo! Finance imported using `pandas`. " - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "try:\n", - " import seaborn\n", - "except ImportError:\n", - " pass\n", - "import datetime as dt\n", - "import pandas.io.data as web\n", - "st = dt.datetime(1990,1,1)\n", - "en = dt.datetime(2014,1,1)\n", - "data = web.get_data_yahoo('^FTSE', start=st, end=en)\n", - "returns = 100 * data['Adj Close'].pct_change().dropna()\n", - "figure = returns.plot()" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "display_data", - - "png": 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EL2xCY6eqb8I4l3sB7CuPzpQjD7692q6xe7u3vwq+8oj2/UdHLosIsSXMAJYm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\nZM/NkSRpl+zvokieJ2sYvE15jAqmZ3vKHvc5X8se5zFqMba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0GIxGOl6h8mgtvvttpyNbyrYUGgtwlD+l1nw4agqLKvDou8tReLACAPDjcnPW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\nlKQE1NS50So7FcXl1XYXh4gchC1cRFGma7sWuHp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"text": [ - - "" - + "" ] - } - ], - "prompt_number": 2 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Specifying Common Models" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The simplest way to specify a model is to use the model constructor `arch.arch_model` which can specify most common models. The simplest invocation of `arch` will return a model with a constant mean, GARCH(1,1) volatility process and normally distributed errors.\n", - "\n", - "\n", - "$$ r_t = \\mu + \\epsilon_t$$\n", - "\n", - "$$\\sigma^2_t = \\omega + \\alpha \\epsilon_{t-1}^2 + \\beta \\sigma_{t-1}^2 $$\n", - "\n", - "$$\\epsilon_t = \\sigma_t e_t,\\,\\,\\, e_t \\sim N(0,1) $$\n", - "\n", - "\n", - "The model is estimated by calling `fit`. The optional inputs `iter` controls the frequency of output form the optimizer, and `disp` controls whether convergence information is returned. The results class returned offers direct access to the estimated parameters and related quantities, as well as a `summary` of the estimation results." - ] - }, - { - "cell_type": "heading", - "level": 3, - "metadata": {}, - "source": [ - "GARCH (with a Constant Mean)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The default set of options produces a model with a constant mean, GARCH(1,1) conditional variance and normal errors." - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from arch import arch_model\n", - "am = arch_model(returns) \n", - "res = am.fit(iter=5)\n", - "print(res.summary())" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Iteration: 5, Func. Count: 39, Neg. LLF: 8472.94226259\n", - "Iteration: 10, Func. Count: 72, Neg. LLF: 8470.53561036\n", - "Optimization terminated successfully. (Exit mode 0)\n", - " Current function value: 8470.53538528\n", - " Iterations: 11\n", - " Function evaluations: 79\n", - " Gradient evaluations: 11\n", - " Constant Mean - GARCH Model Results \n", - "==============================================================================\n", - "Dep. Variable: Adj Close R-squared: -0.000\n", - "Mean Model: Constant Mean Adj. R-squared: -0.000\n", - "Vol Model: GARCH Log-Likelihood: -8470.54\n", - "Distribution: Normal AIC: 16949.1\n", - "Method: Maximum Likelihood BIC: 16976.0\n", - " No. Observations: 6262\n", - - "Date: Thu, Oct 16 2014 Df Residuals: 6258\n", - - "Time: 21:55:30 Df Model: 4\n", - + "Date: Thu, Feb 26 2015 Df Residuals: 6258\n", + "Time: 22:41:31 Df Model: 4\n", " Mean Model \n", - "==============================================================================\n", - " coef std err t P>|t| 95.0% Conf. Int.\n", - "------------------------------------------------------------------------------\n", - "mu 0.0441 1.094e-04 402.891 0.000 [4.387e-02,4.430e-02]\n", - " Volatility Model \n", - "==============================================================================\n", - " coef std err t P>|t| 95.0% Conf. Int.\n", - "------------------------------------------------------------------------------\n", - "omega 0.0126 9.324e-06 1346.356 0.000 [1.253e-02,1.257e-02]\n", - "alpha[1] 0.0824 1.024e-04 804.610 0.000 [8.221e-02,8.261e-02]\n", - "beta[1] 0.9072 1.242e-04 7303.863 0.000 [ 0.907, 0.907]\n", - "==============================================================================\n", - "\n", - "Covariance estimator: robust" - ] - }, - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "\n" - ] - } - ], - "prompt_number": 3 - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "`plot()` can be used to quickly visualize the standardized residuals and conditional volatility. " - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "fig = res.plot(annualize='D')" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "display_data", - - "png": 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wct+iXYdKvPIMdAJ396sr8NgH63GgsCyg6134ev8Wrs3H75uC1w66uPvVFXj6\nk03umE2uyYWLlduP4+F31uLF/20BIJnxH31/HQo8BAZ+JLj7rmuw45Wvt2HxBnX3j1OlNfh++UGv\nFfANjQ58s/QgtuwvwoFCSRu3bOsxr+sfenuN4vf9r6/CL2u1t+sqOOUtELkmS/knKvDi/7bi0feb\nwjIEO4zrjdkNjXaUVRoTPn5efQifLuZ4+J21uulc2re8Y+XYne/9HrioqG7wqttr327H+j0n8cyn\nmyCKIl78cive/9n/PVq/+n0/jmgJnios3XIUJRV1WLBG0jqeKK7GjyvzwrYgJGRenk4h7HUAvQFM\nN3JNJPxF5GU7RFFhjmzUcLTVMnlA8L4HeX7yc3KTjOcHzZXOMy/Bojy2UeND60qjNfD7284Wi4CP\nFu7Bim3H8NBfRriP//fHXXA4REwc0tFYRrIbraiuR7rTobe8qh6Ndoemj8BjH6xHVW0j9heW4a6L\nh2i2j/xYTV0jGhodSJP5YAgaz0INl4ZoVL92GNVXzQ9KPa/fNhW49yj94KFpmvlbLIL38xWU/UPt\nvFa9fZkt9xWUYvvBYswY1VnzerX+5qu+dQ12vD1vJ/p1zcSvGwsUi1mq6xqxZGMBRFFU+E/JsVoE\naLWli++WSTPbNhkJuGI6071PT/T6ivw+PM//vFYakA/JNFE7DxWjQ06y+3e9x/ggf351GlpIf989\n+a4Dm/cVoXfnDOU4ovJcNBHg/qp7tkvhqUp8+btkXh3dvx1Sk9R9l8qr6rH9oA0j+rRBQpz650Ov\nn8qPu96xPfmlWLKxwK1tevmbbXhh1nif1+sdk7N4wxFs2V+ELfuL8KfRXbA3vwQ56YnITpfGG5fP\no+e4vnCtuilQXt7+Am8hsb7Roegbn//q2yRocY7t8v4GQZo8Cop0AmrrGxEXa9Xd+cXoWPfMp5s9\n6iF4/XYdk7si6OX55McbAcCt9dPCYlH6eVksgkJrp1bGrxsLcO6E7urfNtkYxj2ey/aDxcr8VMY7\nQJpIWywC/uEUrvOOV2D2JUM0628WIRHEnELYawBGQXLaN6RXz8xM9p3IJJI8BpoN+2x4/8cdePCv\nozCUSR/eYj+j78bFxiA7OwUAUFpRh69/24cjstmP6xwAnKpomoVYPR6oPN3RkibzTnpakuKcFq40\nWir//3yxBbMvH4b22cmw2x34bcMR9O2Whc4aTr/Z2Sn4bZMUv+XrpUp177s/7cb5U419HBMTmhzG\nH3xrDb4Wz7o9AAAgAElEQVR86mw0NNpx7VNLAACfPj5TITi5cK0o3cyLFPev1l+ys1PgcIi49v55\nAICPHz0TGc4VOvJnbqQdAcASY1VNK38J4xPj8MjbqzF6QHvFAKBXRlZWsteHLFHmUH/oWDmyspKR\nktIknO4+UoY9h0swdWRnDOiRrbg2xmtVppKnP5H8/rQ2qo+Li/Gqb0pyU9lZWcmIjbEq4vFYY6z4\nZUMBNu8rcvtOyjVrJZX17o/rlNFd0T5bel6WOFmfTk+EVVb37OwUzRg/lXV2w8/NhauP6I0tiQmx\nXvnGxHg776ckx+uWn53dVMbPa7w/4haLxev6mrpGvP/jTozq3w6j+rf3uuanNU2alaSkOGRnp+AP\nmVYmI10aEzbvPYm5X2/FLecPwugB3vkA0qTQ7lRBeLZLQXHTc0tKTkB2VhIAScuXf7wcXdunwWIR\n8Mh7vyH/eAV4QS7uu3oE1LBaBc12kh+3WJveIbnJr7yqXpEuVraQQi3fuMQ4rNl+DOMGdUCK7B3f\nX1AKq0VAvUwTfrSk1v0u/PjCeYrdQfKOKT9T3y1XN9fL6+Aau/RYvKHALfRpkZGRjOyMRCQnN60m\nfPnrbThYWKZYeZt3sgqPvbMGw/u2xWM3jdPML0WWT5ZOn/X0u8vKaurDFqvUX4/bqrB8SyEOHm1K\n6+97qEZaWiIsgvLdF4QmDV5WlncZrr4hm1O4OVVag4zMZFgtAqweCzjema90C4mNVR/XExLjFMe3\n7Csy5V59ESqN2FwApwGYyjk3rFcuKakK23L28gql/8rcryT1+MNvrdbVZOhR39AIm00SvJ7/YjN2\nHFTGa3GdA4DSMpmZw+OWXek8Je7SsmrYknw/Mtf1WoLYzoM2/OfjDXjomhFYtC4fn/0qRRnWuu/1\n25sCJ9apmIfk96VHrewjXlMntZV8Jc+W3ccxoHuWbh6/rs5D/+5Z2H6oBKxjmtf5LxftwYTBHdy/\nH35zJVKSYnHHhYNRVd0kWButc2VlnUbapof2wY87se9IKfYdKcWQXjmGyii2VSHeYxVlTU2TANJo\nF/Hdb/sUJs5XvpT66KK1h/Ha3ZOQnBiLY7YqbNlfhOogVehrdx7HvXOW4o6LBmFPfiniY62orJK3\nVxUWrDmMb5c1CeK/aZh6XMgFqmc/Wo/9BWVgnTMwuGeTEFlZWQe7zAH64GEb7tKIM1df1/R+bdlf\nhFMlNZg+Mhcrth9D4akqXDq1l5eWoKSkCpmZye6x5aOF3maO2toGr2dlV9GGF5yoAM8rQraG5rao\nSL9P2e0O2GyVEEURHy7cCwFAfJwVC9fmY8HqQ3j9ntNRWaMUQo/L8qytrYfNVol9MnNPaVk1bAlW\nPPK2pNV54r217ve4vtGOpZuPon+3THRqk6LQmnq2S3lZkyBWWloNqyjd/39/3IWV249h0tCOuP6s\nfsh3amyWbi7AdTP7qN6n6BA1+778uEPDVaCx0aFI1yATltTyfeStVdhfUIbFaw/jgauGA5A+2He/\nvBwAFOPBsk1NfdZmq0RJhf8rCY2OHXJ8uUUUl1RBsNvx2/omwXurysKwx96RNDWb9pzEmi0FWLfn\nJM6f0B3JHquiK2Rm1mI/6nvlwwuariuvwW9rD6n6WgbSBp4sWXdI8Y2y2SoV38Itu9W35rPZKlVt\nPYWnqvDMB2vxt/MGwu7D77ChwQ6brRI78mxIkwnvNTX1Xvemda9RrRFjjHUFcCuAWgCHGXNrSz7m\nnN+md63DIYZNEGvUeTF2HyrGukDCN4hNzolqfmRrdh5HRko8WOcMiPJ+4vE8tdrAaPu40uh1xuLy\nWjgcIrbJ1PFaeb/wxRbdNPknKpCdlqAaz2jh2nwUnqrEdWf183p5HA5R8eLZHQ6f9/fy19swul9b\nrNt9Em0yvD+IH/+yFxMGNWkEXKr+RevzFQ7PJ4urDcWREkX1Npc7ziuiNsucHvTuxfUs5Y69+SeU\nL/z7P+/WvP7teTtx1yVD8NTHG1FRbY4fAz9SijvmLHf/vnJ6b/ffv20qUAhhRpAvEnCZcPiRUrcj\nroSo8BPZqBPgtaau0d2mc5wfh/bZSXh3vtRO3dqnYnS/doprHA4RBwpKUXi8HP26Zro1u3JE0ftZ\nqZk+5q86hPmrDuGvZ/ZRDVPjuQuFJ7byWtQ4Tex/bJbqIdeGP/XxBrdvnLxuXvWUHRRVxgTX7x9X\nHMKPTg3oew9Ohdw26Urj6od2eZ6iiIrqerzx/Q63r9uyLUdR72Fu1ezfgv4YJrsj1TSiM92CtYex\ndtcJ1DU0jWNq+br61u7DJe7zx21NE91SmWVjocx3S7p39VvQw1WGP4uhfPkH2u0OVNc2ePnR6eEy\nAVbXNOCGP/cHAOwvLMO7P+1GW9nY5qkN0kPuE1VV06i54MXhEFFaWYc3f9iJ6SNyMVLVfUMfW1md\nog2raxsUrTTnK/WyeX6ppt/bmp0ncOV05nsfZFGyOjz/+RblYYd3HwuHTGK6IMY5P4wojdi//aAN\nSzYW4KozmK4zpSsejtm4Vg299+BUxYupJlcXldX4FVdFznOfbcKfT+uGXp3SNdMUuVa0Gehj8mCz\nahHsH3l3HdJT4vDS7VKEElEUUd/gQEV1vdvvZECPLJ+zFKNeqet2S0LyqVL12ex7Ks6dVTWNChW/\nXtBGrQG2pq4Re/NL0b9bpkK7IE8t1/DprQb7cdUhOBwi0lOaZmP+bCC+9YANDY0O04QwNepkg9nn\nv4ZmbzZ/YrrtyCtGXb0dcbFNw4tLoAGA4vI67PVwDnaIIma/tBQA8MQNo4OsrcSHC/eqCmIrt6vP\n4F2IInD/G6tw2dRe7mPyfugphEnHAtc87MhT9id/JvDfL8/zWnDgWuEWLlxxpwJB3q12GIwk7w+i\nKOqG+fHEl0P8399YjY45gbnm5MkmmM9+ugl2h6hYWOIaL83mHudiFX6kFG/fPxnlVfWafoNqiB6T\nsNe+26E4X6Wh5X/qk426+d758nLd8y4OqmwDZ+YOIv4QHSGZw4RLuq+o3omTYdpqwgieH6Pdh0vw\nn883o3uHVNx8wWD3caMTsD35pdiTvwVv3Hu6z7T+bg3k6UfhQj7QvPH9Dq8Ve1v329yxY+TIb73R\nIeK5zzbheHE1zpvQHRMGdzC8okeOVjnyWz10vAJJCTE4WVKD7h3TdB1fAWngfe6zzTh8ogLjBrRX\nbsYuqn9M//Vf7dVFaj5E/jL7VWMDTjTj74zt1heXYmSfpkCb8gUrIkSv+E/y2aynxtHFz2sOo67e\njqtmMFTWNAS0gtQo/q7CKpKFAFHrosu2HtUMRuv5asvHmXfm78K15wxs+gB4pA1m79bi8jp86Yyr\npkV1bSNs5f6H+Dhw1JinS6gXfp0qrcE+FUf9YAh0SyFRFPHwO2v9CithNj+syMNPq/0b00RRKfgY\n3XoplEQqkliLFsQWrs1HbX0jzp/YQ3Hc3w2UjbK/sMy96kLvkYqicibgOcC+7gzwmnesAovXNWnu\n/JXWXdooLTbuPam6zD5QXPeuFjZBTTgClB+HV2Tbb3y4cC/qGx2YF0B8KzV2HS5RmCbfmtcU06hv\nlwzsyS/FueO7obbejotOb+ovDlHEln1FWLXjGA47Y/us3nlcuahA47GEWtj3FTctWFxmrVDi9cE0\n0MU1w3KI3u+SXCD4r46JZsmmAlw1g+H+11cpNIFayOM8hYs1O0/gAo+xTM3UqoW8bVZsO4ZDxytw\nqqQGdQ12nDW2q/vc10sPGAoevHjDESTEWjGyb1v39mUuFq7TtjgAwHOfG9cmyVm+VT+m1Nb9RXhz\n3k5DOyVs2VeEsgDjvQW7DZKZHLOF5nvmD/4KYQCQd7Rcc2s/IAxCUfQ8wpYriJXLzGLDWZuwbANS\nUd2AR95bh5lj1Jfqu/B8iT01YvLOKXeIfuuHnbjzosHIbWtsFcfvPgZpT1XwH5sLg5pVzXppGW5x\nbl1hFL3x/o/Nhbovqj/oBcTcky/5LM1beQgAkCTzdfttY4GqyUj+yBp8mVybKfUNob8vz76v9B/z\nDxHw6i9Gtg5z8cGCPYaEMACKOE/+8u5P2r5/ehSV1WL9npM+vx+ubX/koRAa7Q4v4Uoer0uuoV2z\n8wRG9/Pt8+MyV3+3/CBKDWquq2obsHL7cU3tpC/U4njJce2lqBU+RM4r3wS276Ld4cA/dbTdrQG1\nsB3+4muiGop9Wn0SIeEsKn25zEDuWOo5OJv1cVfjaFEV3v1pt+5igNe/26FYCmzUTaaorBZPfLQB\nhacqccxmvhr6o1/2BrXdS12D3a/BzSGKmkEWgcjN9L6XaeHUhDBAaYoNlQ9Ga8DTJByMH1KwJsVl\nPrQt0cCbP+z0GYn+26Xeiypu/s8fIdOgGhXCAOCOOcvxxZLQ+BuGi58D0P60NHz5aTUH1L7QZJo0\nGXmDrtt9IqCtUkKFK7igC3+8GRoaHXj43XXmVyoC3Cjbf4xonQgW7b1e/cUeyBK4ZogvwX/hunxc\nKlsQQJiLVnwxovlQWdOgueGv54KfcNBiBTE5S7ccdW/0G434s3KMIFoS81cecm+BEyytRA4zxIpt\n+iY8X5j1TAgiGiksqlL1NS0qr/Va8BMOokYCEEVRtNkqTYvZcbK0Bg++Gd4d3QmCIIjgibEKuu4d\nBBEupBh83lgsAnJyUk2RoVqsj5jpO14TBEEQYYGEMKI10XIFMYIgCIIgiCDwZweFQGmxghjNpwiC\nIAiCCIZwGNdarCBGkhhBEARBEMHg7+4zgdBiBTGSwwiCIAiCCAYyTRIEQRAEQUSIcOxmRYIYQRAE\nQRCECqQRC4K0pDjfiQiCIAiCIDQIh7O+6ZH1GWOxAF4CcCUkV61PAdzNOQ/NRmcaxMZETaxagiAI\ngiCaIc3VWf9fAE4D0A/AAAATATwUgnJ8QIIYQRAEQRCBs+dwacjLCIUgdh2A/+Ocn+CcHwfwfwBu\nCEE5BEEQBEEQIePgsbKQl2GqIMYYywSQC2CL7PBWAF0YY6lmluUL2kebIAiCIIhgMGv/az3M1oil\nOP+X6/Jc4mRYBTGCIAiCIIhgsIdh31OznfUrnf+nAyh2/p3h/L/C18UWi3lqLItIKjGCIAiCIAJH\nhLpsYqa8YqogxjkvYYwVABgGIM95eCiAfM65T0EsMzPZtLrY7Q7T8iIIgiAIovXRNjsZ2dkpvhMG\ngenhKwC8D+CfjLGVkEyfDwF4x8iFJSVVptljw2HXJQiCIAii5ZKTGgebrdLreNRqxJw8ASAbwG7n\n748BPGXkQodDJEGMIAiCIIiowOEIvTxhuiDGOW8EcLvzX+QgFzGCIAiCIIKi+a2aJAiCIAiCaBGE\nY4ujFiuIkUKMIAiCIIhg6NIutI76QEsWxCiiK0EQBEEQQdA2MynkZbRYQYwgCIIgCCJQ0pLjwlIO\nCWIEQRAEQRAehMuwRoIYQRAEQRCEB0nxoYjw5Q0JYgRBEARBhJyEOGukq+AXV8/oE5ZySBALkmtm\nsEhXIWR0bhv61SIEQRBEZOiUY962gkawmhiNPhy0yUgISzkkiPlBh2zv1RNThudGoCbhYUSfNpGu\nAkEQUcAlU3pGugoR5bwJ3SNdhZDwxI1jIl0FAiSI+cXUFix0qWGhECAEQQBISwrP6rFoJS6WPpXR\nynUz++LPp3ULTeZh2imx1feuvl0yDKfNSo0PYU0kpgzvhLfuO1313Ki+bUNevpzeuelhLY8giNAw\ndXinoPNQswi0FiYO7hjpKhAaTBzSESNYaKw34dqxutULYrMuHGQo3cwxXTC0d06IayPtCBAbY8Xo\nft5C163nDzScjz8CphZm7i4fajqG2dfBTJITwrMyp7XzwJXDIl2FiGG1BDfUe27zkpIYixdvHx9U\nns2JlMTYSFehRZCdbsznKreNf/7JSSEaQ0kQCxMxBgeoS6b0giAImDi4Q9Bl9tLRNAnOzZlSE4Mz\nBdx/xTB0CdLZPjFOv3PHxURP97nn0iGqx2ddYFx4jRTX/Ck8K3NCQY7BgdWT1KTwf9iy08LjeKvH\n3Rr9tDmQkdJkERBFUfE7EmSqWCievnksZo7pEoHamEt2WujbNhLC5Zh+7QwtEBjUI8uvfNtkJGqe\nG9orCAVKODaaBAliEAT/YoVcd1Y/r4701zP9+5DqNbrLLeu8iUrn0Fg/hR5BEPDwtSMxd/Ykv65z\nMaRnNnJ9CHKCjsbs3QemBFSuGldM7+3+W8s8kpWWgDfu9Tbp9u6cgcevH62b/zUzGC6d0gtZYRj8\n1OiYk9yqVqjGWAW8MCv82pTUCPs5dWufikE9siNaBz3UBBs5l07p5XVsyjBtk+fMsV1w/+VDg66X\nFmourO2yknDxZP2FBWeN7Yo5d0wIUa3MIVBrhD8THH+/W2aQk5GIJ24cg/SU8L2LwazUJI1YmBAE\nAfdePtQv/wfPl+T0oZ3w/G2noWenNKOF6tYH8J6tBCKYWy0WJCXEBGSmvOIM32E59Lq31l6f/prh\nxg9qjzNGdlYce/qWsapp42PVY9TIqzJ9hPeCi7TkOJw5pguev82YcHD9Wf00zwWyviG3TQpirPoX\njh/U3v+Mw0BgHwwBMdbwDz3xcVY85kMoDyXBCoLB9oEZozrrntdbnCMIQNf2qV7Hh+hoGyyCgH7d\nskImjAkaI5CvfYYvntzT59Y1LDcd8RGMedW5rXdbG+HBq4YbTpuTrq1FChWuMTolQV9gHDfAxPHO\nxxB1po4GNUwKMXMFMcbY2YyxZYyxYsbYCcbYV4yx4L1EQ4ggAN07pOHJm9Q/7lrXeJKVloBZFxjz\nN9P7dvn6kAfi53Lf5cMwd/ZE3TRTh3fCPZc1mU2MfF/HD/LfTPvKXRP9ElbiYpSDoUUQ0CFbW7Wt\n9gLLhYWhvXO8TMP++s/07ZqhOaMO3FdNv1GuOoNhyvBOuOviwQHmr06/rpm47qy+AV8fH2vFpCEd\nMKBbpte5SUPU+0ckF+M2V81jm4wE3HB2/6A0apdP6637oQ6VubhfN//MTEYJdT+KpItsv67e75Mv\nJg/tqDs2etI+S1I+qPkjh5q/ztQfc3xZY1wM7G6gb/kQps7RWXHpa4JsFmZPS9MAPA0gF0B3AOUA\nvjS5DFMJZEbvWkHjOXBlpMQbijczTGOFR1yMRWfWKvUmPf8yLSwWAUkJsZiis3Jq3ID2ihmmkdAV\nl0zuiRvO9tYOvXKXttAnCIKXEOPpyyb3mWpodCjO6c3AAfVZu1WmfXE4RPzjquEKc7SvPvDItSOV\nmjxRfTNYAcAdKos/5AIuAAz04f+g5jOWEBeDa2b08Xn/Wjx63SjV48kJMZg4uCMeumZEQPkKAK6d\n2Q/3Xu49QYhmM1woCOUGwS4NohiksURNazysdw66tEvBzecO8Ds/PcE21NqEUIfX0dK4GSG3TTKu\nndkXc+6YANY5sIVTpw8N7UpNl8bvlgCee7C01fHp8oebzulvSj5qdGmXEjatoamCGOf8c875As55\nNee8GsDLAMYwxqLWBBrIqzZlmKQ9UguGZ2RsUFtKPqRnNl65ayKyNByKe3YMPpTENTP64I171ENj\nAIBDNnIaEVDjYq2qWjFfTqDJHueTEmIUg+pk2QBUXdcIAHjq5rG4ZgbDeRO66VdKZfSPkd2L3SFC\nEAT84+omzYAvH4Ju7dNwu0zA0vq+3HHRYLTN9DZxd/SYpd54dn+vNpJXIRTRrl2zX08unyb53/Xq\nFGD/0tXuapiOnP+/dPt4nDm6i+laPgC49zJtc1iajubHl/lOj9F92wa9QGZwT3XhNVihRu1R3H7J\nENxwdj/cfuEgPHrdaLTPSvJbY5iZGm96mBtPbdD5Hv6y4wa0R1ysBTedG7qPMBCcxm1Y7zaYNKQj\n0pLjAu5TZgmyA3xojfRMuXrvSiCoTZSDwQy/T7V2Ht2vLR69LnxuDKEWkE4HsItz7vCZMkxcMa23\nonP58idQw2IRMLB7tmqQQ6385CYrq8WCYR6hMERIgo0WrtlqMLM0QJoFXT6tt9fLmZocB4dDJogF\nOApNMLCq1DPva/7URzHoydswJVHSRLXPSsKU4bmIjdH323B4vlSiUtCyOxPEytraX62oqDFCamkr\nYmQLLc6f2B1pyXHeeYRYA67VL7UEf0BbLS8XIvX6o2Yfch5OT4nHpVN7Bazl02NA9yzcqSHg3Xv5\nMAzsnuWlXX7p9vG4cFKPgMvslZuOnCBn+qkakxizlEvyZ9qnaxYmDumo6Bv/1NCM6pnK/BXefE3U\n7r9CqV31HKvOm9ANc2dPMmVyqkcg34ama02sSJCF+rvSPzG+aWz0x9Tpi6dvGYv0EGqNmzOGBTHG\n2HzGmEPjn50x1sUj/TAAjwO423BlLIKp/9SwWgWF/dlXen/rpqVdyZQt9VYrSxC063/p1F7ITk+Q\njhu0WevV8cwxXXD/FcMU9nVPjUmM1WK4TZT3oX7c85rX7p6Ea2f2xdzZk9DJI2aMxSLgpnMkf5iL\nTu9p6Nm6jnuORRaLoBDeRFGU0snSxMZYfNZZbt6EoJ5W0DguH3xY5wwpjSyZVJ+mA2rjqfze/3ae\nf6aE3DYpsGr0G7021RJ6H72+ycyp97wzNVahCjD2rgaDxSJ4CQ+usrq2T8V9VwzzWsSSmZYQcF1u\n/HN/jOnfzscCFvV3fwRrgynDOklmFo0MLp3S06ufyPG12MhVdm7bFAxjORjGctC1farXc0jQWEGe\nk5GorLuP91xepmeaV+6aqFgJ7SIrVXLtsFgEDOnVpBmMi7HiepkLhCAIiIu16o4DehhJI0L5KLTS\na/lXycfzQISynIwEv1f7WTT6l1VjYYzW+zdzTFe/ytXi0qnKVbYdspP9+t4awYwxJDFBfZwLVMYI\nBH+WsF0BQG8qU+L6gzE2CMDPAGZxzpcYLSAzM/RBOVOS43Hf1aMw96st+NPYrsjO9j2be+GuSYbS\nufJXQ66Byc5OwYRhudi8r8h9LC7OqllGYmKc+5yWNsYTI/W1yjQ12dkpSE6paPqdk6I7c33y1tNU\ny0iIj9Ut23UuG0CX3KYP5SXTGL5YvBd9umYiOzsF507ujXMnew/WvvJNSlK2f0ZmksIvJik5HtnZ\nKahubGrHzMwkn3XOKK93/05PT1RNn5KSIKVNjUdpRR0AafDJyUnFi7Mn4ciJCkwY3lkapGWjc3Z2\niqJ/pKUptSovzlb2v8wMYyt8p43qjLTkeJw7sYdmaAK9+75mZj989sseVNY0uI+N6t8OfXo0+TjG\nxKr32/GDO2LkQHUfF4vFWP8MhuzsFFTXNngdk9O/RxvMX3VYcb6uwe4z775dM7HncIni2HlTpL4a\nq7PSTqutkpPicM/VIwEAJT/tAnBccf69f81Am0ypT8RqaM1PG9wR3/y+HwDwvyfPAgBc9s+f3ecT\nEprGkMdvaVodbHTM9ay3RRDcx+I9VsD165aF3YeKceE0hmwVU32bNqk4bWguPv91n/vYRVN64a9n\n93droZ7423g8/u5a2O0ODOvfHomy9zo9Q/t9NdKvjKSJibEqBBita/p2z8a63Se9jiclNbV3amq5\nz/I8mTamG4b374DN+4uQFB+DorJa1Hv0zbf+MQ23PN30eY1PUB97U1PVtd6a3xuZpSdGx0rjiwE9\n26D91qM4bqv2Ks8aV6d7rdHxQStdcmIsqpzjVpyP8FRt26Th3X+egZr6Rtz+n98BAPE+vmNmY1gQ\n45xX+E7lFsIWA/g75/wzfypTUlKlMI8FS2pSLCqqlYNxVXU9LA477rxI8vmx2Sp95pOdHGsoHQAM\n75WNz2It6NY+DSdLqlFaKX3AGxqbXiKbrRLDemZh1gUD8dp3OwAA9fV2zTJqaurd54wKYkbqW+f0\nv3Kl79Y2Ce0yE5GRGo/aqlrUVWu/LJ0yE1XLqK1r0C1b69wZIzqiS5sk9OiY5rPuajMR1zXxHuNG\nSXEVEmUvYmlZDWy2StiKq9zHqipqfdY5OVa2kMHuUE1fUSHlnZ3WJIjddclg2GyVyEqKRVb3LBQ7\ny5X749lslWiU9Y+yshr332MHtENWkrL/VVbqD2IupgzpKGl/7XYUl1SpptG776Q4C+bcOQE3Pvu7\n+9iV03orrrE3qrfFTX/up5m3KBrrn8Fgs1WiRta/Xcfk9Ouc5nW+vtG3IHbHhYMw66VlqnnX12tf\n36DxjvfsmOo+Pm1YR+QVlKJr+1Ss3H4Mo/u1g8XRdF19Q6PX9QBQKxM6a6q8+0dtbb2ibItFQGZm\nsuEx17PeDlF0H6utUY6x918+FHUNdlgd6n3DZqtEaWm14tg547q63w0XtzuDMRcXVyEj0Yq4WAti\nrBbEiOr5qtVTL01WajyKK9TfpcZGu2Ks1cq3vk79ecjH7IqKWtU0cTEW3HrBQCxYfRi8oExxztUW\nL94+HhZBQKPdoXgPAaCyXJlvXa362KtVvtY9jeydg08XSn83Ntjxz7+MQN6JKnz2yx6vtInxVpw7\noTv+t2S/17nyihpcN7Mvnv5kE/40uouivPKqeq/0RupmNF2PDmk4a1xXZKbG46vfvOs2fWQuft1Q\n4M7DCiBFtp9onY/vGGDuzjOm7gvAGBsA4FcAD3HOP/L3eodDNFUQu/eyofhw4V6cM74bXvl6GwBJ\nkPG3DH/SpyTG4uU7JyI2xoJjtmq89cMOnDmmC1bvaJrluvIb0Uem1tarl6isw8t3TsAPK/Lw26bC\noOqcIIuc73CIiLFY8ORNYyEI0sdST+iT5//kTWPwz/+udd2G+1xyQgyqahs1r5MjQEDfLpmG665V\nn5F926LdsoM4UVLjro/cNNDY6IDDIaLRYzWmXpkOh4jE+Bg887dxsEAyZaqldzic+chOtc1IVM9b\nlF8nIlmmVfDUXnlfb6x9HLI+pfUs9e7bahG8/LzSnb6EFkGAQxQxul9brzzOGNnZfezvVwzDc59v\n9qtcM3A4RNjtotcxTwb3zMa2Azb3eYfdd70S42Nw8zn98faPu7zy9jVR8qzDDWf3w7gB7d3H42Ot\n7j3D29MAACAASURBVG3XXBsZK64x0Gxq9yl/Lz3TGnkWXmlk+TlU7jk+1qqZr2eZMVb190lOjNWC\nl++cCAGSNk4vb1+40vzzLyNx72srVdOIgMI2qZXv0N45+GLJPu8T8vbRuPa1eybBarGga7tUzFt5\nCH9sbhrP5dc4RFHV39Lu8Ha9Vn32frRVjFVQuFJ0zElG79wMjB2SqyqIvTp7Emrr7KqCmMMhondu\nBt6453TExyn7g6/n5Ot8dloCHrt+tGY6ESL6OFerqqXw/PZ5Xa/xvoQKszdouheS1WkOY2yO85gI\noD/nvMDksnzSpV0qHv7rSMWxcPhQukxhnXKS8fgN0srKNTtPmJZ/alKcKdu1XHlGb5wqq1FsaBuI\nlK/l0BmMs2ugWAQBV0zvjTlfOQVvKJ3GXY7zcv8lPYd1Ob6XXDtf3ABuW75Xmt52HYDxhRTyVIE8\ni1idoKvP3ToOB46WYzjTd7Tvq+Lk7W9d/nJmH/AjpUhNjMPiDUf8uNL3QJrlI5q8FmP6t0P+yUqs\n2HZMsaJWvzbK+qQkxvodi0/rjvzdecMoKYmxuFLFn0seqmN0v3ZYuuVoSMqXoxWwOVB87SRg5D1r\nm5GI8yZ0xw8r8vwu3xW/MCMlHldO7+0WxPR2KzDCg1cNxzOfbgroWlcb33PpEGzkp3DR6fq7FFgE\n3z5wRgPjts1IxMnSGtVz183siz35pUhKiMG547shJTHW8DiiNjmaOaYLduYVG4tDFgZMFcQ459cD\nuN7MPE0nUtEkNYqdNKQDVu88gUtUtg/Ru1ZtFuovOemJeOIG7xAcasTFWlDfEDWLXzFtVGcsWa/+\nUc6WxX6Ji7FAEARMH5mLwlNVGNVX0kKmJcXhoatHQBDM23MtmEei1SvVjsu7cHZaAmzl6qaHYPq6\nAKBrO+2l5llpCYYF2F6d0rG/sMn04rli2BeTh3bC5KGdsO1AkZcgJtdMXXUGw5KNBe5wAXIfH62P\n6oWn90RpZb27XxhFEARcOqWX17Y/oY6dddqA9tiZV4y4GAvqnVrdvl0yTJ303H3pELz+/Q5cMa03\nJg7uoMj7lnMHYOHafNwoi98USPBR+ccxkgF+NfHjOZ43oTt+31yoNLfJ7snfPuFPrEirRXCvBHeh\nF7fsgSuHYf7qwz7jXQ7skY2BoYwDqPLMzx7XFVlpCapBsScO6YiJQ8yLq5YYH+OlpIkkodmyvJky\nfmB7rHSaEDNT41Gi4T9gJn89sy+uOoP5DMvgSbi2Xrjv8qH4fkUerpzeG49/sCE8hRrgtouGaApi\nnXKSccPZ/ZAQF+P2D7tyuveWTYEEx9XD7HhKEuqrM5v+1r7Snz1UPZl79yTTtni5/4qhki+OCGze\nVxRwoMpBPbJx2/kD8fr3O9zH+nRpEgLaZyXhqZubdsiQa1C6dVAXKlMSYzXDXATCRZN7YtsBmykT\nJTXGDmiHjJQ4dGqTgtmvrgAgrW71pcj2J8TEoB7ZeG32JFXt+Jj+7TCmfzuv4ymJsYpFHS0Bf4wD\n6clxCkFM69LuHdKQd8zbeV/xHmt0nS5tU5B/slKR7tm/jcN9r6+C1SIYWu3YpV2qbow9o1w5vbd7\nxwStMUj3FVA5N35QB9P8rsbK+mgkLDP+ErWBVkNF20xts8+4gU3b4wzvrR79PlD09kXzVwgDzNGI\nGaF/tyw8dPUIdGtvcB9NHW42MQqyXsw1QHqpR/Qx9xnq8fxtpyE9xfxNw9tkeGudBB+zbYsg4Mrp\nvX2aXvRIDEKI8yQ2xop2mUlol5WEM8d0Uc07Q7YJcFJ8jGrsI0EQMLJvW0wbnis71nTe6EIWPeT5\n3Xb+QL+v75ST7PT90R78E5wCrppA47t+0v6NctOgkWj78rHNCP5+EH196252Bl9V29cvWj6T8k2w\nRa8AFvoYDSmj1axyjW0XjaCn//rrSHc7ushKS8C7D0zBa3dPQnZ68O4qekxyTqDaZSVh+sjO7sDT\nckEnmN0OPPucS7Ontj+wGs/cMhZXz2C497Khiq3uzBgXQk2r0YjNumAQispq0F9HjS7vBmeMykWP\nTmmBRxw3EbWu3Qz6loLX75mkcJBsacjNdO0yk3Cg0P8l63L+dt4A7Mgrxsyx3rNc+WDXp0sGVu1Q\nhju4+dz+GN1P+yPfv1smdh0qQTeTo1wHw32XD8N3yw9i+ohcdO+QBlGU4p8N7uVtHmkjm0zJ3w0z\nfGtjY6wY2bctikprMNRPE6qL+FirrmDyfzeOwY68YsWsPVj0Zv19u2SEfDsgX4zt3x4Du2e73QAU\n41eUSGIpicpgo/40WYdsaUujDxbs0b1Yc7cJQcBj149GZU2D5s4aMVYLMmThkUTZtb4mpmZw1RkM\nfTtnoL+HX5X8ji48vQe+/uOA78wMtO1dFw/GgcIyVT9TNdpmJmGqSriU5kDL/TJ6YEQ74inZm7kD\nvNnjYHOQ8uW0ZCHMk8um9kJ9owNjgthMd3S/dprClLwrnT2uKzrmJGNgjywkpyRgOz/p099pwuAO\n+OuZfYPSmJlNx5xkzLpA6fR+hpGtYYzYdPxESxM2cXAHzS2IvBE065OVloBJJvq7aIV57dc1E7sP\nl+Cc8fr+QGbAcjOwkZ/STWOWL2a40BNe77p4MHLbaJt7NX0+db4DRszH/n5H/A0Kq0d8rBVjVb6J\n8jrJt5OLjzVmcOudm47zJ3rvaJEYHxNaPzUdwj1vaT1fRwPIGz963NKh+lbL/X9G9mmDvGPlqK23\ne4WLIPzjhrP74aNf9iIjJQ6nSjWc4H2QmhTn06wVH2cN+FnJJwyxVgvOGtsVFosUYLNNSpzmsuvr\nZvbFkZOVUmwqP0aapPgY956f0YYvM22wDO2Vgy37pcDLl0/rbdhkq9q8IZo7iRBVNS33XjYUFdX1\nITGZe/KXM/sgOz0hYHNruJh9idIf8LbzB+L9Bbtx3cx+8HxAetXytS2X1sQ/3P5K/m7ZFVj9mq5J\nTozFjFGdUVFdr7toIFm2SvyOiwZHjZA+bUQu1u46gYt9rBY1GxLEtIhyjdPkYZ2wI68YvXPTcc74\n7nCIIh58c3XEBLEhPbOx9YANZ8tMac3AR9KL8YM6YEz/dli+9Sg+XsRDVs7tFw7CK19va9JW+NFW\ncl8KfyYMga46uueyoXjzhx24QGXWqkaon7s8VINCHxaCV3b8oPZuQay5YbEIYRHCAGny4dpA3ghy\nvzazuosRIXlwT6UANbJvWwzv0wYWQcDGvU0R8kURGNQzGyc2GI+6JL8Pzy3jXJi5m5fR7i7f6zYU\n76bnZMhIP7BaLHjlromw2x1RI4QBkvn1imm9Q7Ltmh4kiMmQzwbMHtODeaxqhoe4WCvuka1+ibQP\nyJ0XD0Z9g8O0lXaRJMZqwcQhHVFYVBUyH8Fu7dPwwqzx7j7nz2buZjuo+6JHxzQ8d+tpIS/HKOMH\ntsfSzYXo2j7V450NRVvI8vcj+zAqxPzqO9FCKLrt3z02CzeK1th50ek9kZWa4Ic5ugmtb4mpGjGD\njTioRxb6dM5AVlpCSFxEAr2laBLA5IRbCANa4apJPULgbhJWXDORkWFcLehCEIQWIYS5iLFacPWM\nPqo+EWYR6KCsGOSbYT8NlrhYKx69fjSuO6tfyE2TWbLAvzEaG6erceOfpdVtRld8BYMI0VRNS3Ol\nq2zxyUNXjwDLTcdD14wIOL/4WCvOHNNFNa6VGjk+Az4HTyBjhtViwQNXDZc2lQ8BzXEiEG2QRkyG\nvEOZHR4iHL4Bw1kbvDBrPNJT4nwnJpot4daIRTNCgBoro3TvkIbLp/ZCalKcXyvTRvZti1fumojk\nhBj8ulEyb4V0BGiOfgBOQlH1XrnpePDqwIWwQOjbJQOXTO6pG0YiWIG5W/tUxMdZEWu1hDxchWGa\nb9eLGkgQkxOlHcqflS/RtBKOCA1yU0oYt0OLSqwyLVWC547vJjFjtHfsKyN4ml5C+ajG9GuLL5bs\nU407F43It/HKSo2OOgcryAuCoBpuRh4jz6qzbZgR4mKtePmOCRAEwb1Fkn6lgirOEFH62WxWkCAm\nI9RmDn8Z078d8k9UYuIQ//ajI5ohfoxmin7ayiWx+Fgrzh3fDcXldboxAls66SnxmDt7EuIMhgyI\nNHIhtWcUxGoEmgLtmk3v3AycP7E70pPjsCOvOOj8/NHMxhkMFu7aSSaQsCqCIGBg9ywcs1VjVBAh\ne1ozJIjJkGueTHfWD2DacOv5A5GVlYzi4qqw7gRPhJ9JgztixbZjiojpWmTIVsKlGkjf0lGLQeRJ\nNEysQo184/jmwD2XDcGGPadw6ZTwhgrQQh6o1OwNxs91ro7eeajE1Hy1mD4iFweOlqvuUKHGv68d\nBX6kNOAgxndfOgSiGBlHd180h3e/eb25IaZLu1T07JgGi0VAh+zoiNDbHPbJ0iLUNc9IiUdpZej3\nAw0HvXLT8fTNYw3592WkxLv3R0w3URAbwdpgIz+lcFAnzEMrpEFrZWD3bAzsHvqAnXdePBgfLNiD\nv/ypj266cKw87981Exv2nPSdMEiuPMN7b1090pLjMNLPje/lCILQbNwUzd5j2AxIEJNhEQT3Khuz\nBaDmLFAFyqCe2Vi5/bjvhAFy/xVD8cWS/ThrbGA+PNFGOz8+1EN9BJQMhOvO6oe+XTMxnIV/1W2o\nieTrd+dFg7Fp3ym/g2sS5jC0Vw5eun180GOwawujy6b2CjiPSUM6wmIR0KND8Hv3Esbo2zXTHQvw\nz6d1VexVGy2QIOZBqASm1ieGAVdOZ2iflRSyD3unNim4+9IhIcnbH6I1Ho6/JCXEYFoYwi1Egkia\nJ4b2zgnY5EOYg7/jutpq5ElDOmJU37aGd1dQw2IRTN3eivDNtBGdEGsV0LNTOrq0i579deWERBBj\njN0M4E0Ad3POXw5FGUT0kxgfg7PHdYt0NULGA1cOw/zVh3HZlMBnyARBRB9acnswQhgRGawWC6ZE\noRZMjum9ijHWEcB9ALahWYZFDREtQCV22/kD8d/5u3z6WrQW+nTJRJ8urXelHhFZ4mOtqGuw47QQ\nBh1utdCXiwgjoRDvXwPwOIAbQpA3EUFG9m2Lob1zEBNkLByCIILn2VvH4VhRle7mygRBRD+mflEZ\nYxcDSOGcf2Jmvi2BFqAQAwASwggiSkhLikOfLpmtciGQCyPhXggi2jGkEWOMzQdwlk6SbgAqADwH\n4IxAKxONMUjMQj5YGr1PV7qW3C6BQO3iTTS1iSAIUVEPOYIQHW0TLURTfwmGB68ajnkr8zBzbFfT\n76W5t41ZtJS+YjZmtodR0+QVAPSWhpUA+C+AdznnB5zHBPipCMrMNLa5anMkTubkmZ2d4te1Lbld\ngoHaxZtoaJPExFi/+3iosVgtUVenaCAa+kswZGenYFCfdqbna42h/uJJc+8r0YwhQYxzXuErDWNs\nGoA0xths56F0ACMYYxM455cYKaekpOVGkG+ob3T/bbNVGrrGYhGQmZncotslEKhdvImmNqmpaTDc\nx8OFvdERdXWKJNHUX6KRhgY79Rcn1FfUiYRGzAhjZPkJAL4CsACS874hHA6xxT5oeVgaf++xJbdL\nMFC7eBMNbSKKka+DGtFYp0gTDf0lWqF2UUJ9JXSYJohxzhX7NjDG6gCUcc6D3+W0BdCK/WkJIgqg\nDwhBENFJyKLTcc6nhCpvgiAIgggVJLYT4YRiEYSJ1rzEnCAIollBkhgRRkgQCxPxsdTUBBEpklvI\nfqBEeBBJEiPCCEkHYeKCiT3QLjMRfz6ta6SrQhAhJZqUv9fO7ItenTNw7cy+ka4K0YywRFMnJlo8\ntINpmEhPicfTt4yLdDUIolUxeVgnXDS9D2y2SlrxRfjknPHd8PumQhLcibBCghhBEARBALjo9J64\n8fzBFDOLCCtkmiQIgiAIJ7SVDxFuSBAjCIIgCIKIECSIEQRBEARBRAgSxAiCIAiCICIECWIEQRAE\nQRARggQxgiAIgiCICEGCGEEQpiKAVp0RBEEYhQQxgiAIgiCICEGCGEEQptKzU3qkq0AQBNFsoMj6\nBEGYwr+vHYWjRVUYznIiXZX/Z+88w9yozoZ9a4vtdV9344Yph2J6x3RC8kFCIJBCSN4kpgVCnDck\nvAECCSkQIJAEAhhMJ5TQe2/GFFeMC+7HGPe26+19Vyt9P2ZGOhrNjMpqve25r2uvlWZGM0dHZ+Y8\n56mCIAhdhpwKYkqpwcA/gLOBXoAGTtRaN+TyOoIgdD4mjBrAhFEDOroZgiAIXYqcmSaVUnnA60AT\nsLfWehBwMdCSq2sIgiAIgiB0J3KpETsDGIelAYsAaK2X5PD8giAIgiAI3YpcOuufBHwJPKGU2qmU\nWqaU+mkOzy8IgiAIgtCtSEsjppR6Hfimz+4osAcwBDgFmAr8FDgKeFsptU5r/Uk615Gq94k4/SH9\nkoj0SzLSJ95Iv3gj/eKN9Esy0ife5LI/0jVNng8UBuyvAGqBTVrre+xts5VSLwNnAikFsVAoJL+y\nIAiCIAg9irQEMa11TapjlFKLgXNcm0NYGjNBEARBEATBRS6d9V8CblVKXQo8CBwBnIXlxC8IgiAI\ngiC4yKk5UCl1JDAN2B/YBNyotX4yl9cQBEEQBEEQBEEQBEEQBEEQBEEQBEEQBEEQBEEQBEEQBEEQ\nBEEQBEEQBEEQBEEQBEEQBEEQBEEQBEEQBEEQBEEQBEEQBEEQBEEQBEEQBEEQBEEQBEEQBEEQBEEQ\nBEEQBEEQBKGbEOroBghCZ0EptQ6YAOyttV7b0e1JB6XUFOBhoL/Wul4ptTvwFXCm1vrNdr72mcCr\nwO5a640pjj0E+D1wIjAE2Al8CNyhtV7Qnu002vAP4Lta64n2+ykk9t0I4HLgEa31BuNzJwMzgAO0\n1it2RVvdKKXWA89prX/nsa8Q2A48qbX+X5/PLwM2aq2/mca1/gz8Ums9PIP2FQLXAS9prZcY23fH\nNR7d30Up9SgwSWt9pP3+KOAMrfVf0r2+IHRl8jq6AYLQGVBKHYslhDUA53dwc9rCVuAYYFZHN8RB\nKXUuMB8oBq4AvgZcCQwC3t3FzYkar1/H6qsG+/0I4HqscWDyuX3cV+3eOn+iJLY9hta6BXge+J5S\nKmlxrZQ6ANgf+G+G18uE3lh9d7Bru9d4dH+XvwI/M94fBfwpw+sLQpeloKMbIAidhPOBL4GP7Nc3\ndmxzskNr3Ywl9HQKlFK7Af/B0tZc4Nr9tFIqpYYmx8QEFa31TizNnO8x9nE1dKI+9eEp4BLgFCzt\nnckPsYTNlzM4X7bWEnffpRyPWuuOFHAFocMRQUzo8Sil8oEfAI9iCWIXKaUO0lp/YRwzBcuMdRBw\nO3AssAm4Vmv9knHcTKAUeAlrpT8cSxtwidZ6i33MyXiYupzPaq2/b78/FsucdwQwEFgD3Ka19tVs\nuE1BRruT0Frn2Z/JA64CLgbGAhuAv2mtH3Od+89Yprs+9vd7x68dBhdjPWeu9GlDzHxq/w5/BC7E\n0k59abfjKeOYR4FJwLXAP4E9gEXApa6+HAzcA3wbqAHudl/bNE3a13N+7w+VUgBRrXW+1++llOoL\n3II1bgYBS4HrtNbvGeefSYqxYB93C/BNYCJQiTUGr9Ra7/DqMx8+ArZhCV1uQew84A2tda19vanA\nr4FxWGN4mtb6Dr8T29/1VuA0+zM7gDeB39tCKkC1/f8RpdQj9uvdsawugaZy0zRp/yZ32tsj9iEz\ngV8Cy4FTtNYfGZ/tj2WW/b3W+i6/7yAInRkxTQqCpUUYAbwIvA9U4W+e/C+WZuE7WILR00qpMcb+\nKHA0lsDyG+DnwGHA/Wm0w22ymQDMxhJmzgRewJrofpjWt7JwzG/O3/F2u7VxzF1Y/j3TsQSCl4CH\nlVLfcg5QSv0aS0iaDnwXS8NyK6lNWCcBC7TW5Wm09a9YAtZ0LAFqFvCk6/tGgfH2tW/A+p1GAM+4\nzvUIcDqWKfTnwDewBBK/9m4Ffmy/vhyrr44NaOsDwBS7Dd/BEmjeUEod52prOmNhJJZQ9y0sAWkP\nYIaXmdEPrXUUqw/OVUrFFthKqSOAPbE0ZiilLsESdF7GGlPPAf9USl0dcPq+WML0H7H69I/AqfZn\nHU61/99AfKxtT7f9xH+X17EEbIzzXK61XgnMxepzk+/bbXsig2sJQqdCNGKCYE3mW7TW8wGUUm9g\naRZ+73Hsv7TWj9rHLcTSDpwJ3GfvDwEDgG9pravs40YBtyulemutmwLa4TbrPO28tiflT7E0EpcA\nT5MGbvObUupWYBTWBIdSai/gMuBnWmtnMpuhlBqN5afzhq2puhqYrrW+3j7mPaXUu8BuKZowBsvH\nKhCl1BAsoekGrfVNxjXGAn8m/n1DWM7+k52ACluj95JSSmmttVJqEnA2cJ7W+jn7mA+BjVhCdhJa\n62al1FL77QpnLPi0dT+s8TFFa/24ve1dLI2aI6w4bU05FkyTrd3X87AEu+OBT4J7LoGnsPrwG1ga\nK+x2VmP9jnlYffmI4fT/vlJqEPB7pdTttikxAXsMXWa0sQBYD3yilBqrtd4MOAEXa82+szWL6RBy\nrqWU2mC/dv8GDwF3KKWmaq3r7G0XAK9qrSvSvZAgdDZEIyb0aJRSvYBzSfSfeRGYYJsG3cScy20t\nTwmWsGHymTPx2qy0/7uPS9W2YqXUnfbE1Gz/XQLsncl5jPOdh2UivNDWMIDlOB8BXlFKFTh/WOat\nQ2wBcByW8PaK65QvkRpfJ3MXBwBFJGpZAJ61mq6GGtvWuaJane8y1v5/pP0/1l574n6P3HAkluAQ\na6utkXoeS3gySTkWlFJnKKVmK6UqgRYsIQwy/J211p8Ba7E0f47w/gOsSMZmrP4ZjXcfDwQO9Du3\nUuonSqlFSqkarHHoCIj7ZNLGNvKs/d8x3e8JHIel/RSELosIYkJP5wwsH58PlFKDbd+iuUAT3ubJ\nStf7ZiyfqVTH4HFcKh7Fmkj/Dnwdy1fsYSyBJSOUUgfZn/2H1voFY9cwIB9LU9Rs/D1ibx+NJYSB\nJXSauN97sYXkKEQvRtv/3X5RzvshxrZU/TsKqPHQ7pSSm5Q9o4FarXWja/sOoK+dyiGttiqljsRK\nAbIR+B/i5rjYMRnyNHC2Uqo3MBlL+HJ87DLp4xhKqXOwAi5mAd/DMreeY+/unUUbs8L2R3sWSwsG\nlplyG/D2rmqDILQHYpoUejqOsPWix77vK6Wu0FpHPPa1BWcC7+XaXowt3Cil+mD5DF2utY75FNmm\nq4ywzX4vYfmbXePaXQ6EsSZtr+9ZarRzhGuf+70XM4HrlFLFKcxH24xzmseNNNrpkEqY2g4MUEr1\ncgljI8g8LYMX24D+Sqk+LmFsJFBvp5NIl3OAHVrrmB+cUiodwdWPp7D8/b6J5bdViuX36LQbkn83\nrz42+T4wV2s91WjjSW1oY1t4EPjUNqn/FHjM1kYKQpdFNGJCj0Up1Q/LKfy/wMmuv99iTVCnen7Y\nn3Qmhc32//2Ntowj0czTG+v+bDaOGQCcleY1nM/kY2lJ8oAfekxaM7A0X4O11gs9/hxT2XYsp3ST\nc9NowkNY5rZ/+LTPCQhYBtRjaQBNfgCs1lqXGdtSff/P7P+x9trRdV9P8bl0NZef2W34vnH+EJa2\nyPTpSud3KsIShE1+7HVgOthRnUuBH2EFVTxnLCQ2YwUlePVxlf05L/pgjEOfNmar9fWiGcDW6iWg\ntZ4DrMbS2I7D0hoLQpdGNGJCT+ZsrInw37Z/TQyl1GwszcL5xDUKXri1MyGPbQlorTcrpRYANyil\n6rEEoWuxNBKO03KVUuoz4HqlVDXWpH4NlqlrYHpfD7Cc7E8DfgXsrZSK+R1predqrVcrpaZjRX/e\niuVY3wcrRcTeWutLtNat9r5/KKV2YgUNfBfYN9XFtdbb7JQET9mO9w9jCQNjsBzJjweGaa3LlVJ3\nAH9QSoXtdpyLZTp2R4mm6t/lSqlXgXuVUgOxhMjfAXUpPrsRKxp0iu0L1eKV9V9rvVIp9RRwty0c\nf4Xlu6eAS13tTKW9exf4tVLqdqyIwcl4C2KZmFSfAm4yXjvtjtgpSO5TSpVhjeuTsBzxf+/lqG/z\nHjBNKXUtVk4wR9sWww52WAecp5RagaX1XZJ0pvS+i+NH92s7yKJaa73a2P8QcBswW2utkz4tCF0M\n0YgJPZkfAtothGFtDGP5o5xj+Px4aTjc2/yc093bzsea+J/ASh77Z6yVvnncj7Am+cewcpc9Z7/2\nuqbf+73t93dhmSadv1imc631L7HSDvwUeANL23AGVm4q55g7sCb3y7Cc0vti5R5LqfXRWr+I5VdU\nCfwb+AArRUE1lpDocD1wM/AL4DUsIe3HWutnjWPS7d8pWELOHVipJt7D0gz69pVtZrwEOBzLpDov\n4PyXYPlNXY8V6DEOK1fW7EzaqrV+C0tY/i5WcMEJWFG4qb5fEE6E6UatdUKFBa31g1gpMs7B6uPz\ngN9qrW8NaPd9WL/Xr7FSqIzDGpvuNl2G5XP4HlbfOT5p6YxXs08+wRK0fo3lr3mv63gnCMMzP54g\nCIIgCILQTiilLldK1djmZkHo8mRsmlRWYdy7sZJgguVj8ks7/0sh1srdWS09CfxGa92ao/YKgiAI\nPRBlVY1QWGb8R5xKAYLQ1cnGNHknlgA3AaskRx97G8AfsHwc9sPyMTkB66YRBEEQhLbwZyxz6nKs\nxLmC0DNRSi0zS44opX6slPrCfr1JKXWuse+7Sqn1HdBMQRAEQRCETk82GrE3gPOVUgPt5JfnA68p\npYqxIqEWG8cuAcbbkUWCIAiCIAiCQTaC2N+A4VhJF8uwspLfAjiOk2Ymaae0hwhigiAIgiAILrLJ\nI/YuVlj7qVj5YP5sbzvD3j+IeIbmwfb/mlQnjUQi0VAoF9VHBEEQBEEQ2pdQjoSWjAQxpdQw4Cjg\nXKe0h1LqbqxkiflYmZsPBdbZHzkEK5dNSkEsFApRUVFHJCLVKhzy8kIUF/eTfnEh/ZKM9Ik3MIT2\nWQAAIABJREFU0i/eSL94I/2SjPSJN3l5uVMcZSSI2SkqNgNTlVJ/wdKI/RLYpLUuU0o9glVXbhaW\n2fNarNpgaRGJROWH9kD6xRvpl2SkT7yRfvFG+sUb6ZdkpE/aj2xMk2dj1Y3biiWILcSqfwdWdu6h\nxEtUPE681IYgCIIgCIJgkLEgprVeBHzNZ18YmGr/CYIgCIIgCAFIrUlBEARBEIQOQgQxQRAEQRCE\nDkIEMUEQBEEQhA5CBDFBEARByAHRaJTPV5ewrayuo5sidCFEEBMEQRCEHLBozU6mvbSM6x6Y19FN\nEboQIogJgiAIQg74fHVJRzdB6IKIICYIgiAIOWB7eX1HN0HogoggJgiCIAg5ICqJ54UsEEFMEARB\nEAShgxBBTBAEQRAEoYMQQUwQBEEQckAo1NEtELoiIogJgiAIgiB0EBkV/VZK1QKmO2IfYIXW+mB7\nfyFwO/Aj+7gngd9orVtz01xBEARBEITuQ0aCmNa6v/leKbUEeMrY9AdgMrAfEALeAq4FbmhbMwVB\nEASh6xCJRskTW6WQBlmbJpVSRwH7A48amy8AbtRa79BabwduBC5qUwsFQRAEoUsQF7x2SE4xIU3a\n4iN2EfCmLXChlCoGxgKLjWOWAOOVUgPacB1BEARB6FJMf2V5RzdB6CJkZJp0UEr1A84DfmJsdsyW\nlca2Kvv/AKAm1Xnz8kSNa+L0h/RLItIvyUifeCP94o30izdt7RfTEllW3dgt+lfGije57I+sBDHg\n+0Ad8Iaxrdb+Pwgot18Ptv+nFMIAiov7Zdmc7o30izfSL8lIn3gj/eKN9Is32fZLYUF+7HVzSytD\nh/YPOLprIWOl/chWELsY+I/WOuJs0FpXKKU2A4cC6+zNhwAbtdZpCWIVFXVEIlIjwiEvL0RxcT/p\nFxfSL8lIn3gj/eKN9Is3be2XlnA8QUC4NUpZWW3A0V0DGSvedKhGTCm1D3As8DOP3Y8A1ymlZmH5\nn10LPJjuuSORqPzQHki/eCP9koz0iTfSL95Iv3iTbb+0hCMJ77tT38pYaT+ycda/EPhYa73WY98N\nwBxgJbAc+Bi4KfvmCYIgCELXYNigPh3dBKELkrFGTGt9dcC+MDDV/hMEQRCEHkNUFEZCFkiJI0EQ\nBEHIARGRxIQsEEFMEARBEHKAyGFCNoggJgiCIAg5QDRiQjaIICYIgiAIOUCiCoVsEEFMEARBEHJA\n1KURe/Fjr+QCgpCICGKCIAiCkAPcCrHXZ28g3BrxPlgQbEQQEwRBEIQc4OUj5taSCYIbEcQEQRAE\nIQdEPXzExG1MSIUIYoIgCIKQA7yELtGICakQQUwQBEEQcoC3abIDGiJ0KUQQEwRBEIQc4GWaFEFM\nSIUIYoIgCIKQA7xMk5LkVUhFxkW/AZRSZwF/BfYCqoC/aq3vU0oVArcDPwKiwJPAb7TWrTlqryAI\ngiB0Srz8wcRHTEhFxhoxpdTpwDTgf4EBwP7ATHv3H4DJwH7AJOAE4NpcNFQQBEEQOjNe2i+JmhRS\nkY1G7AbgL1rrj+33VfYfwAXAFVrrHQBKqRuBf9qfEQRBEIRui6dpUiQxIQUZCWJKqX7AYcBYpdRq\nYCDwCZZ2rAkYCyw2PrIEGK+UGqC1rslNkwVBEASh8+HtrC+CmBBMphqxYiAEnA2cBpQD04EngCn2\nMZXG8Y6mbACQUhDLywtl2JzujdMf0i+JSL8kI33ijfSLN9Iv3rS1Xzwd80Ndu59lrHiTy/7IVBCr\ntf/fqbXeBKCU+hOwBnAKag3CEtAABtv/09KGFRf3y7A5PQPpF2+kX5KRPvFG+sUb6Rdvsu6XUPLk\nPGhQX4YO7fr9LGOl/chIENNaVyqlNro2OyOvCtgMHAqss7cdAmxM1yxZUVEn9nSDvLwQxcX9pF9c\nSL8kI33ijfSLN9Iv3rS1X1o9CnyXlddRSNftYxkr3nSkRgzgfuBXSql3gArgeuB9rXWdUuoR4Dql\n1CysiMxrgQfTPXEkEpUf2gPpF2+kX5KRPvFG+sUb6Rdvsu0Xr8+0tka6RR/LWGk/shHEbgGGYDni\nA8wAfmK/vgEYCqy03z8O3NSWBgqCIAhCV0DSVwjZkLEgprWOAP9n/7n3hYGp9p8gCIIg9Bi8fPVr\n65sB8a8S/JESR4IgCIKQA7xMd4+9s7oDWiJ0JUQQEwRBEIQc4GWa3FZW3wEtEboSIogJgiAIQg6Q\n3K1CNoggJgiCIAg5wDOhqyCkQAQxQRAEQcgBkt5ByAYRxARBEAQhB4hGTMgGEcQEQRAEIQeIHCZk\ngwhigiAIgtBGGprCHd0EoYsigpggCIIgtJG1W6s6uglCF0UEMUEQBEEQhA5CBDFBEARBEIQOIqNa\nk0qpR4HzgWZj82la63n2/kLgduBHQBR4EviN1ro1J60VBEEQhM6IOOoLWZJp0e8oME1r/Vuf/X8A\nJgP7ASHgLeBa4IasWygIgiAInRyRw4RsydQ0GbL//LgAuFFrvUNrvR24Ebgo28YJgiAIQlegf1Fh\nRzdB6KJkKohFgZ8qpcqUUsuUUr9VSoUAlFLFwFhgsXH8EmC8UmpAbporCIIgCJ2P0sqGjm6C0EXJ\nVBC7E1DAMCxN16/tP4D+9v9K43gnnlcEMUEQBKFbEm6NMP2V5R3dDKGLkpGPmNZ6kfF2nlLqZuBn\nwB1Arb19EFBuvx5s/69J5/x5eUFWz56H0x/SL4lIvyQjfeKN9Is30i/eZNsv4eZgD7Gu3M8yVrzJ\nZX9k6qzvJtYSrXWFUmozcCiwzt58CLBRa52WIFZc3K+NzemeSL94I/2SjPSJN7nol9KKBv7+2Gec\ndtR4Tj9297Y3qhMg48WbTPulqLElcP+QIf0Ihbq2ICNjpf3INH3FD4C3sTRchwNXAXcbhzwCXKeU\nmoVl9rwWeDDd81dU1En1eoO8vBDFxf2kX1xIvyQjfeJNLvvld9NmUVbVyOqNFRyphuWohR2DjBdv\nsu2Xxubg8kalO2vIz+uaaTtlrHjTkRqxXwL32Z/bAkwD/mXsvwEYCqy03z8O3JTuySORqPzQHki/\neCP9koz0iTe56JeyqsaE83UHZLx4k2m/tLYGH9vaGiXUxRNcyFhpPzL1ETspxf4wMNX+EwRB6JZE\nolHyuripScgdUZd88ovvHMC9Ly+LvW8JRyjI75oaMaH9kZEhCIKQIS3hSEc3QehUJEpih+w1jH//\n7/Gx99V1ze4PCEIMEcQEQRAyRAQxwcRtsAuFrASvBfmW1rS2IdiZX+jZiCAmCIKQISKICSZu0yRA\nKBSKOXRHvA4QBBsRxARBEDKkOdza0U0QugD5jiAmTu5CACKICYIgZEhLi2jEhDhRH42XE9AhgpgQ\nhAhigiAIGdLSKoKYEMcthzkBtY5pslVMk0IAIogJgiBkSGVNU0c3QehEJDnr20Vn4hqxXdwgoUsh\ngpggCEIaFA/oHXv92DurO7AlQqfDzzQpPmJCGoggJgiCkAathjmySvJCCQZJYpZjmgxJ1KSQGhHE\nBEEQ0iBslLFx8kMJAvgqxHDKS4pGTAhCBDFBEIQ0CBuOPsdMGtWBLRE6G+6oSUdMz7MlMdGICUGI\nICYIgpAGZmHnz1eXpP+5SIRl68qob5Ts6j2FUMhx1rfet4pGTAggo6LfJkqpImApMFRrXWxvKwRu\nB36EZTZ/EviN1lqyHwqC0GWJRKMJk2lDU/qPtDdmb+DlT9cxYeQA/nTBke3RPKGD8VN4SUJXIR3a\nohH7K7CeRD/FPwCTgf2AScAJwLVtuIYgCEKHU1GdfbqKt+ZvBGDDjppcNUfoZESNafAHp+wVey0J\nXYV0yEoQU0odDvw/4O/EzeEAFwA3aq13aK23AzcCF7W5lYIgCFnS0BSmrLqxTedobMleqd8qyV+7\nP4acdcLBo2OvvWpNhlsjlFY27LKmCZ2fjAUxpVQBcD9wOdBibC8GxgKLjcOXAOOVUgPa2E5BEISs\nuOCv73Dl3bPYXl6f9Tk2lXhrs9Ztq+bRt1ZRHiDomdGWQvfE/IVDhm7CK4/Y7c8u4erpc1i0pnRX\nNU/o5GTjI/Y7YKHW+lOl1MnG9v72/0pjW5X9fwCQUi/vDFrBwukP6ZdEpF+SkT7xJi8vRF1jGIAF\nq0o46/iJWZ1Hb6xM2paXF+KG/ywAYHNpLddPSe3/1Vl+Hxkv3mTbLyHj8Pz8UOzzjo9Y1Djnyg0V\nALw6az2H7zOijS1uf2SseJPL/shIEFNK7QVcChzqsbvW/j8IKLdfD7b/p+UcUVzcL5Pm9BikX7yR\nfknG3SeRSJSmllaKemcdl9Nt6FPUi6FD+6c+0OezbrZXxf3Gvtpanda5s71+eyH3kDeZ9kuToRIb\nMqQfffsUAtCrl3XfeY29/Ly8TjcegpCx0n5k+nQ+HhgJaKUUQCEwQClVApwJbMYS0tbZxx8CbNRa\npyWIVVTUiVOjQV5eiOLiftIvLqRfkvHrk1v/u5AV6yu47fLJDB9c1IEt7BjMVWt9fRNlZbUBR/vT\n6JF64pppnya8T+fc2V4/18g95E22/VJRUW+8rqPBFsAitn9gTU0jZWW11NTHKzKUVTV0mvEQhIwV\nbzpMIwY8A7xrvJ8MPIglcJUCjwDXKaVmYfmfXWvvT4tIJCo/tAfSL95IvyTj7pMV6y0zyLvzN3H+\naXt3VLM6Ba2t2Y+XoQN7pzwmnXN3tvEq95A3mfaLeWw0En9fWGC5YTe1tBKJRCk3om+r6pq7VN/L\nWGk/MhLEtNYNQCzcQym1E4horbfa728AhgIr7UMeB27KTVMFQciWnprZ28x43pYe2GO3QW1vjNAl\ncGfJz/gzhqLEcQlotPPOiZeV4EWbHEe01jOBIcb7MDDV/hMEoZOQzeTSHWhsjqedaJMlwe6//LxQ\nm7KkRyJRcXruxHyxdicP3PExP/664qj9RmZ1DvPnLeqVD0BDsxUwEnL99hU1TRQPSK1tFbo3UuJI\nEHoAPdWiUGLkaxo6sE/W53G6L7+Nxb5Xb6xo0+eF9uVfzyyhpr6F6a8sz+hzifdXfIz0tgWxpmZv\njdiV02Zl0UqhuyGCmCD0AHqqRiwcjidTfXPuhqzP4/ReQV7bHpnhnioRd3eM+yshlYU9Xpzfvafe\nh0IwIogJQg+gpzrZfrRka+z1joo2ZDO3uy8vL5Qw0WZKrwJ55HZH/O4ud61Jr+NEOBPkqSAI3RTT\nQb+nPutnfbEtJ+cxawnm+2jF/MrWqHGDY68LRBDrnpi++gkaMeuNU+bK6z5si89hZyQSjXLPS0t5\n7O1VHd2ULoM8FQShmzJ/5Y7Y654aNWlOcnvuNjDr81TUWGkHahtaCPvUjnz6gzWe203/7FYpd9Sp\nKcjSB9CvxJHjU9gaYJrsbmPiqy3VLFhdyszFW6mqbUr9AaFtUZOCIHRe1m6pjr3Oa4s9rQszsG8h\n1fVWMta2mCYffTP16n7Rmp0pj5EC4J2bwoI8wq2ZF3iPpvARiwtiyZ8NRyL0Jj/ja3YmItEo/3hq\nEdEo7DehOLa9sbkVSfySGtGICUI3xSxE/enS3JjouhonHzom9rq2ITk7frrkSmchzvodQzQa5Z6X\nl3Hn818E+mQVFmQnECWkETMkMSdVSUwQ8xhJ3aEo/I7yelZtrGT1pkpe/nRdbHtTS+ZCbU9ENGKC\nIHRbQp1AE2hO0t3NDNVV2FHRwIJVJQBsKqll/MgBnscV5tiHL+YjFgnwEesGWtJ8n9x4LeGu/912\nBaIRE4RuytH7Z5eQsjvRGTSB5tzb0g0m3a6IKRAE+Utm7yPmfU7HR6yxqZXmllZv02Q3GBPvLdjs\nuV00YukhgpggdFNyvbrvipRVNSa8zzZo4dTDxqQ+yA/jmovWlGZ/HiFrzPQtQf6S+VlqUFdtqPQ+\nn60p2rKzjivu+pSWcLJg0h1Mk6t8EhU3i0YsLeRJLQjdlB4aKBlIOMuJoX9RIQCH7j2sTdefu3xH\n6oOEnJOuAJ6XZcLeJV96B2qYJrvG5la27qxLOqY7aMSamr01X2KKTw8RxAShm9KdBbFoNJqV/0m2\nOZucvszG56wb/wxdBnOsBI0B05H/7Xkb0z6/37Bw55xrakkes93BXN3sY4J0fOOEYDJ21ldK3QWc\nDQwCGoC3gSu01pVKqULgduBHWM+fJ4HfaK3FUCwIu5junLH74TdX8tnKEv74syMYM7y/73ETRw9k\n3bZ4Go9sBbFKOx9SkPaiTy/viDv3FaPRaKcIIuhJmL9b0G8YNgSHZz/8ktOPHp/W+Qf07eW53e3E\n7iWw+GmT2kI0GuWJ9zS9CvI479S9c37+pOv5bBeNWHpkoxGbBuyjtR4ETALGAzfa+/4ATAb2s/ed\nAFybg3YKgtAGBvXznii6KrOWbqc5HOHZD9cGHje4f+L3ztZH6xM7Q/8Xa8sYUVzkecxAvz52zUXi\nN7PrMdckQT5Z2Ub5HbHvCM/t7koKjR6CWENT7gWxLaV1fLhwC+/M38TOqjaU9mojYdGIpUXGgpjW\nepXW2vll84AIsMV+fyFwo9Z6h9Z6O5aAdlFOWiqkZEtpbZtyJQndh/Xbq7nn5WWx9w3N4Q5sTfsR\nSfGgd0+5pZWNnsdlwo0XH+25Pd3Vv4T073rMqMYgc9m4EYlpLZ6d8SWL00jU6+i9RgxOFNKLXFpS\nL+1XQ1Pu703T3PnV1uqAI3ODn/K9u5Vvai+y8hFTSl2jlKoBdgBlWuublVLFwBhgsXHoEmC8Uso7\naYuQM9Ztq+aPD83nt3fP6uimCJ2Avz66IOF9c0ukWzgFu0n1mHdPELnwWSnIT3xs/vT/7QNAo4+w\n605t0B1/h85Ouhoxt8X47fkbufOFL1Ke3wkGcH++wSV4eQld7TEeTJPo9FeWt4v5Mx3ENJkeWSV0\n1VrfAtyilNoXeFop9WfgIXu3GcdbZf8fANSkOm+eT1K4norTH+n0y/yVVrLCcGuk2/djJv3SUzD7\npM5HK9oSjtCrsGuXUnHT2hrNaBzsNrRfm8dNXl6ICSMHsGGH9Ujbe5xVxKWuMUwkGo0JanOWb2fe\nih3U1if+Hq2RzNrcHvS0e8gUkCJZ9H+q46PGceaxo4b0TThu7orkqNlINPfjwX2fbymrY68x2RUb\nSmes+Lk8tsd36yzk8nu1KbO+1nqVUupG4DbgDnvzIKDcfj3Y/p9SCAMoLu7XluZ0W9Lpl76Gs+jQ\nof7Oy90JGS/JFBf3477XVnju6zegD0MHefs3dVVWb6oMHO+Frglp1IgBbb4/hg7tz7hRcUFs7OjB\nsX19+vZmUP/eANz3ynLPz/fr36fT3KM95R7qszU+BfUp6uXb/wU+JY4qGsLsNXaw5z6Avn2t37yw\nMD/h3On8zr37FOZ8PDS5FFFFff2/c7oEjZXevQqoqU9eAPbqnfvv1h3JRYmjXkCNHTW5GTgUcIpN\nHQJs1FqnJYhVVNQlJN7r6eTlhSgu7kfpzhoam1rp28f/52psbI69Liur3RXN6zCcfpHxEsfsk1lL\ntnoeU1JaAx4JJbs6QeO92WUuLC2ra/P9UVZWy/dO2oOS8nomHzCKupq439mOkhrCTcF+miWlNfQt\n6HiNWE+6h555L160fWe5/xhoafE2L7/wgebiM/f3PX91jeU2HY1EMx5f1TWNOX9mV1UmOuiXltVR\n5hNkkop0xsrEUQPYWZkcFFAa0NddnQ7TiCml+gE/AF4EqoEDgOuA/9qHPAJcp5SaheV/di3wYLrn\nj0Sine6hsHpjBf2KChkbECLf3vz+vjnsKG/g9qnHxVbbbkLEB0Vra6RHhMd3xvHS0QT1R1Nza7fo\nr21liUkxg76T20esoSncpj644vsHE4lEGdi3F9f8+DAgsYxLY3Pq89c3tq0NuaSn3ENrt8Qd1usa\nW3y/s5/TeXNL8L3j5ByrqGnKuD9LKhpy/hu4g1haWyNtvkbQWPnMruPppqo28/7oiWTqrB8FzgfW\nYvl/PQf8B7jZ3n8DMAdYCSwHPgZuyklLO4AtO+v4+38Xcf1D8zs0J9OOcmulMd9nsEOic+Z9r3qb\nRISeTXdJm5BJJJbbUf7xd1ZndU3n/nIy7JuYpaTSiYjsrhGsXYX6Rv/+93vMp0oxsaXUWhxkE7X+\n0eKt7Kioz/hzQbi/RnsLQ8UDvBUEHRUk0NXISCOmta4HvhGwPwxMtf+6PBu2JyaCzLYgbK4IuplM\nQWz+yhIuO3tXtEjoSqzdUsXE0QM7uhltJqO70KfIsjvyMRVOVJxXBZy8UIiC/BDh1vSy/TfK5NSh\nBBWi9iveXdfYvmmBXpu1PtD02Vbau57lmGH9qKhpStouqVrSQ0ocBWAWh+0MIedBbcjvYCFR6Pz8\n9/01sdcllQ28/MlXVNUmPzw7O26txcYd/i6oXtPPW3M3ZHi9aLzEkY8YWGg7eaejdWxsh7xRQvoE\nCgc+8kp752ecvWx7bk/o+h7tPX+5a3k6iZSXrC1j6Vdl7Xrt7oAIYgGYzngdJdmbJtGgnCzummZC\nz8WdTd5kzrLtRKNRbnpsAa/OWt8lzdjuu2BDgCDmNbEu/ao8eWOa1/Nzvexlmydb0giGEI3Yrufk\nQ8fEXvvVRQT/vHQlFcmO6B8t3sILH61NKeScf1r7lxhy4/4e7V3P0rTW7Dt+MGccPSH2/vZnl7Tr\ntbsDMnsHUGiYL5o9irXuChISEQYko3SbTcVBsudSWdvsu++B11fw2aoSqu1Q81UbK32P7ay4/TUb\nA/x3HFPT907eM7btgD2GZH09v0ipPr0tL48g/yMH8RHb9ZgZ7gO1lmk+NsOtEf7z9mremLMhpTar\nt0/uPjUung5j0sTMxmQq3PdIeydWdaabEw8ezW9+cEhSaSchGOmtAMzBFORX0J6Yt09wRujECaKj\n2it0flasr9il11v6VRm/u2d21nUeUzF6WF9fp2BnPsrPC7HfhGIg0eUgHcz1j180slPLM0gIdggS\nHIX2wdQIZeMj5sbUqpV6pG0wcRf+djjDKCie6ZjMlPa26DimybHD+1NYkJegxAB4dda6tLTFPRUR\nxAIwb47mDhpE5somHHAzuSPJgtTvQs9mV5vZ73l5GWXVjdz1wtKcnM/tI3b3C0uZesfHwcWNQ9DH\n1opk6i+ToBHzmS/72Tn+/MocQVwzIhqxXY+pEVr2Vbmvn2C6wfGL0qg/6eAXGGIK9e3tR9XePmLR\nWIkn6zu5LTQvf7KON+Zk5pvZkxBBLADTAbFTmCYDbia3KVI0Yj0XZwFxxfcPYsoZ+zJmWGJG7F2x\nqCivbuS2pxYxf+WOdg9hbw5HaI1EecvO5WQSmyAIxdJMZOqjZd6DfpoLZ7J1NC9e6W769LYEMdGI\n7Xrcz87nZq5NeO8sXNNNU7RkbaLg1KvQ+v0v+Oa+SceaJkiT9lSCub/GO/OT741c4miNHdP9+u3J\nfptrNlclbRMsRBALwNQydZhpMppeG9zFjJs6SHAUsueLtTt5fmZq598gotFobAExuH9vTjx4Ny75\ndmJYvCkYjRjcPiWPnnxPs3JDBdNdZX6e/fBLStqYM8kdoeXQ6tFvzpGhEAyzyzt5OV4HYZq1/CZP\nRwPQ0uIIYsnHFPVKrTXraXy5uYrZy7a1+3W83DqcxevDb6zksn9+xMzFW9J1EaPQ0Pi8v2BzzDTt\n/MYmxQN686cpRyZtH+mqQ5lL3N+jX5/CdvUbjqV3sbvl8H2GJx8jfsu+iCAWQDRiasQ63kcsyBHY\nPcjFNNn1uOO5L3hz7gZPzU66VNXFfZQc3xR3AeBGY2y0V9oTP1+pt+dt5MbHPm+Xa3o5JMfTTsDQ\ngVbSycVf7sxIS7dyQ9ynrtqjnh7Actvv7v3PN3PT45+zcmOyH15Rb8c0Kfemw01PfM6Dr69k2br2\nNc25F6oQX9h+utQSBB97e3XsgXvEviMSju3lcj7fZ3xx7HWf3vnxceZzO00YNYCfnb5PwrYRg4ti\nfosAX6zNYR+4VgIllQ1cfOuHLNTt46fpzJWOxnjciORKNNX1qf0neyoiiAXQ2TRidQH5h9yLDTFN\ndl1Wbcjemf7jxfE6k/m2ucztOGuaxtpjkdoSjrBuWzwZsttZubahxVerlQ5+H2312mH4rhQaBZ1n\nLNyc9vU+Wrwl9tpvoq02BOAvt1Txz6cXJx1TVm3lbJP0FRamcLS6naN3vTRidR7j0FnIuDPFN4cj\nCcK76We5+8gBxpj0X9gM6BtPK+Noos85cY/Ytjuey12aB7+76+4Xc+On6Sae8Nj6/oUeUZNeRcEF\nCxHEAuhsPmItAW1wO+uLINZ1qWnDytF0AHZeuUPJN5fGi/B6mfPaylvzEp1yvUoSvTt/U9bn9zPd\negWzmFd2/HgA6jNIqmpGmY4dln3NWUdY27qzLsWRPYONO+LjsL0dub3GTE1DS5LlYHu5ZTYv9qjp\na44Z8/na0BSOCZVBGuYRRtHtSXYKleFZugZ4afg6EucWdzRiXnktMylN1tMQQSyASCfTiAXlERNn\n/e5Dqrp2QZgaG2chURgwOeysakzrvHWNLXy4aAs7U4TqgxUhlYpnP/wyret68drs9Z7bGz3GvOkj\nZmoGs9XI9e7lnRMqU74Ux+UELSIkF3PPJV6CWFNzKw+8tsLzeC+NjukruGJ9PCmw3lwVM8UXBYyP\nscPjQvxJB+9mXcelrX7i3dX8/v65gZn8X/10HVPv+CRB65zELpZ5nPknFCBRNDSFO7Rmc2dGBLEA\nEjViHSWIxV8Hpa9I9hHrXCsmIX3KqhtZuaGCaS8uzdix3fQBcR7ybh8xN+mks3jp4694/J3V3PvK\nssDj3sywfFA2LF/nnRnf0+/LuC3MyTXX88Fvzzs45TG/+u6BsdeOX5IQJ5OUEJnilTuvOdzq60Du\nZYL+amtcePbLxVfUO7h887//93huuOgoxo8cAEBhQeKFZizcwo7y+sAyXC9/uo6m5lbu9xEiIfuF\nRrbEnfXj32evMYOSjnNHm+5qvlhbxrQXl3rWxexIMhLElFK9lFIPKKW+UkpVK6VWKqWbjy+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VZ2FWZeN4fL//Uxa7dklmzT1Iy6n9GQnFrBKw+dWxBy/9ZeQhjAmGH9EgTBbP2GzDHjrme6qSQ9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\nAx3MrMGKWKA5yW2y7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BECHGWoQTnganC89/sQ5zlu+NtShBY4kyxhgbCGAKgAesSK9ZQh78BEEQJy6ki8WcX1bv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\nHBAZgG87UQMQVvIZm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"text": [ - - "" - + "" ] - } - ], - "prompt_number": 4 - }, - { - "cell_type": "heading", - "level": 3, - "metadata": {}, - "source": [ - "GJR-GARCH" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Additional inputs can be used to construct other models. This example sets `o` to 1, which includes one lag of an asymmetric shock which transforms a GARCH model into a GJR-GARCH model with variance dynamics given by \n", - "\n", - "$$\n", - "\\sigma^2_t = \\omega + \\alpha \\epsilon_{t-1}^2 + \\gamma \\epsilon_{t-1}^2 I_{[\\epsilon_{t-1}<0]}+ \\beta \\sigma_{t-1}^2 \n", - "$$\n", - "\n", - "where $I$ is an indicator function that takes the value 1 when its argument is true.\n", - "\n", - "The log likelihood improves substantially with the introduction of an asymmetric term, and the parameter estimate is highly significant." - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "am = arch_model(returns, p=1, o=1, q=1)\n", - "res = am.fit(iter=5)\n", - "print(res.summary())" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Iteration: 5, Func. Count: 44, Neg. LLF: 8408.4226105\n", - "Iteration: 10, Func. Count: 84, Neg. LLF: 8396.94961262\n", - - "Iteration: 15, Func. Count: 121, Neg. LLF: 8396.81323857" - - ] - - }, - - { - - "output_type": "stream", - - "stream": "stdout", - - "text": [ - - "\n", - + "Iteration: 15, Func. Count: 121, Neg. LLF: 8396.81323857\n", "Optimization terminated successfully. (Exit mode 0)\n", - " Current function value: 8396.81323593\n", - " Iterations: 16\n", - " Function evaluations: 128\n", - " Gradient evaluations: 16\n", - " Constant Mean - GJR-GARCH Model Results \n", - "==============================================================================\n", - "Dep. Variable: Adj Close R-squared: -0.000\n", - "Mean Model: Constant Mean Adj. R-squared: -0.000\n", - "Vol Model: GJR-GARCH Log-Likelihood: -8396.81\n", - "Distribution: Normal AIC: 16803.6\n", - "Method: Maximum Likelihood BIC: 16837.3\n", - " No. Observations: 6262\n", - - "Date: Thu, Oct 16 2014 Df Residuals: 6257\n", - - "Time: 21:55:31 Df Model: 5\n", - + "Date: Thu, Feb 26 2015 Df Residuals: 6257\n", + "Time: 22:41:32 Df Model: 5\n", " Mean Model \n", - "==============================================================================\n", - " coef std err t P>|t| 95.0% Conf. Int.\n", - "------------------------------------------------------------------------------\n", - "mu 0.0193 1.108e-04 174.257 0.000 [1.909e-02,1.953e-02]\n", - " Volatility Model \n", - "==============================================================================\n", - " coef std err t P>|t| 95.0% Conf. Int.\n", - "------------------------------------------------------------------------------\n", - "omega 0.0132 6.833e-06 1927.722 0.000 [1.316e-02,1.319e-02]\n", - "alpha[1] 0.0103 3.001e-05 342.476 0.000 [1.022e-02,1.034e-02]\n", - "gamma[1] 0.1051 1.695e-04 620.125 0.000 [ 0.105, 0.105]\n", - "beta[1] 0.9244 7.489e-05 1.234e+04 0.000 [ 0.924, 0.925]\n", - "==============================================================================\n", - "\n", - "Covariance estimator: robust" - ] - }, - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "\n" - ] - } - ], - "prompt_number": 5 - }, - { - "cell_type": "heading", - "level": 3, - "metadata": {}, - "source": [ - "TARCH/ZARCH" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "TARCH (also known as ZARCH) model the _volatility_ using absolute values. This model is specified using `power=1.0` since the default power, 2, corresponds to variance processes that evolve in squares.\n", - "\n", - "The volatility process in a TARCH model is given by \n", - "\n", - "$$\n", - "\\sigma_t = \\omega + \\alpha \\left|\\epsilon_{t-1}\\right| + \\gamma \\left|\\epsilon_{t-1}\\right| I_{[\\epsilon_{t-1}<0]}+ \\beta \\sigma_{t-1} \n", - "$$\n", - "\n", - "More general models with other powers ($\\kappa$) have volatility dynamics given by \n", - "\n", - "$$\n", - "\\sigma_t^\\kappa = \\omega + \\alpha \\left|\\epsilon_{t-1}\\right|^\\kappa + \\gamma \\left|\\epsilon_{t-1}\\right|^\\kappa I_{[\\epsilon_{t-1}<0]}+ \\beta \\sigma_{t-1}^\\kappa \n", - "$$\n", - "\n", - "where the conditional variance is $\\left(\\sigma_t^\\kappa\\right)^{2/\\kappa}$.\n", - "\n", - "The TARCH model also improves the fit, although the change in the log likelihood is less dramatic." - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "am = arch_model(returns, p=1, o=1, q=1, power=1.0)\n", - "res = am.fit(iter=5)\n", - "print(res.summary())" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Iteration: 5, Func. Count: 47, Neg. LLF: 8419.53022235\n", - "Iteration: 10, Func. Count: 88, Neg. LLF: 8387.51163626\n", - - "Iteration: 15, Func. Count: 124, Neg. LLF: 8386.8106626" - - ] - - }, - - { - - "output_type": "stream", - - "stream": "stdout", - - "text": [ - - "\n", - + "Iteration: 15, Func. Count: 124, Neg. LLF: 8386.8106626\n", "Optimization terminated successfully. (Exit mode 0)\n", - " Current function value: 8386.81066261\n", - " Iterations: 15\n", - " Function evaluations: 124\n", - " Gradient evaluations: 15\n", - " Constant Mean - TARCH/ZARCH Model Results \n", - "==============================================================================\n", - "Dep. Variable: Adj Close R-squared: -0.000\n", - "Mean Model: Constant Mean Adj. R-squared: -0.000\n", - "Vol Model: TARCH/ZARCH Log-Likelihood: -8386.81\n", - "Distribution: Normal AIC: 16783.6\n", - "Method: Maximum Likelihood BIC: 16817.3\n", - " No. Observations: 6262\n", - - "Date: Thu, Oct 16 2014 Df Residuals: 6257\n", - - "Time: 21:55:32 Df Model: 5\n", - + "Date: Thu, Feb 26 2015 Df Residuals: 6257\n", + "Time: 22:41:32 Df Model: 5\n", " Mean Model \n", - "==============================================================================\n", - " coef std err t P>|t| 95.0% Conf. Int.\n", - "------------------------------------------------------------------------------\n", - "mu 0.0171 1.105e-04 154.852 0.000 [1.689e-02,1.733e-02]\n", - " Volatility Model \n", - "==============================================================================\n", - " coef std err t P>|t| 95.0% Conf. Int.\n", - "------------------------------------------------------------------------------\n", - "omega 0.0138 6.227e-06 2211.703 0.000 [1.376e-02,1.378e-02]\n", - "alpha[1] 0.0132 3.750e-05 350.960 0.000 [1.309e-02,1.323e-02]\n", - "gamma[1] 0.0932 9.838e-05 947.453 0.000 [9.302e-02,9.341e-02]\n", - "beta[1] 0.9399 4.742e-05 1.982e+04 0.000 [ 0.940, 0.940]\n", - "==============================================================================\n", - "\n", - "Covariance estimator: robust" - ] - }, - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "\n" - ] - } - ], - "prompt_number": 6 - }, - { - "cell_type": "heading", - "level": 3, - "metadata": {}, - "source": [ - "Student's T Errors" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Financial returns are often heavy tailed, and a Student's T distribution is a simple method to capture this feature. The call to `arch` changes the distribution from a Normal to a Students's T.\n", - "\n", - "The standardized residuals appear to be heavy tailed with an estimated degree of freedom near 10. The log-likelihood also shows a large increase." - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "am = arch_model(returns, p=1, o=1, q=1, power=1.0, dist='StudentsT')\n", - "res = am.fit(iter=5)\n", - "print(res.summary())" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Iteration: 5, Func. Count: 51, Neg. LLF: 8366.06354471\n", - "Iteration: 10, Func. Count: 95, Neg. LLF: 8336.78563965\n", - "Iteration: 15, Func. Count: 138, Neg. LLF: 8336.48677997" - ] - }, - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "\n", - "Optimization terminated successfully. (Exit mode 0)\n", - " Current function value: 8336.48677041\n", - " Iterations: 16\n", - " Function evaluations: 147\n", - " Gradient evaluations: 16\n", - " Constant Mean - TARCH/ZARCH Model Results \n", - "====================================================================================\n", - "Dep. Variable: Adj Close R-squared: -0.000\n", - "Mean Model: Constant Mean Adj. R-squared: -0.000\n", - "Vol Model: TARCH/ZARCH Log-Likelihood: -8336.49\n", - "Distribution: Standardized Student's t AIC: 16685.0\n", - "Method: Maximum Likelihood BIC: 16725.4\n", - " No. Observations: 6262\n", - - "Date: Thu, Oct 16 2014 Df Residuals: 6256\n", - - "Time: 21:55:32 Df Model: 6\n", - + "Date: Thu, Feb 26 2015 Df Residuals: 6256\n", + "Time: 22:41:32 Df Model: 6\n", " Mean Model \n", - "==============================================================================\n", - " coef std err t P>|t| 95.0% Conf. Int.\n", - "------------------------------------------------------------------------------\n", - "mu 0.0235 1.017e-04 230.898 0.000 [2.328e-02,2.368e-02]\n", - " Volatility Model \n", - "==============================================================================\n", - " coef std err t P>|t| 95.0% Conf. Int.\n", - "------------------------------------------------------------------------------\n", - "omega 0.0138 5.812e-06 2368.653 0.000 [1.376e-02,1.378e-02]\n", - "alpha[1] 0.0102 3.323e-05 305.621 0.000 [1.009e-02,1.022e-02]\n", - "gamma[1] 0.1032 8.844e-05 1166.360 0.000 [ 0.103, 0.103]\n", - "beta[1] 0.9382 3.833e-05 2.448e+04 0.000 [ 0.938, 0.938]\n", - " Distribution \n", - "==============================================================================\n", - " coef std err t P>|t| 95.0% Conf. Int.\n", - "------------------------------------------------------------------------------\n", - "nu 11.0342 2.254 4.896 9.759e-07 [ 6.617, 15.451]\n", - "==============================================================================\n", - "\n", - "Covariance estimator: robust" - ] - }, - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "\n" - ] - } - ], - "prompt_number": 7 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Building a Model From Components" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Models can also be systematically assembled from the three model components:\n", - "\n", - "* A mean model (`arch.mean`)\n", - - " * Zero mean (`ZeroMean`) - useful if using residuals from a model estimated separately\n", - - " * Constant mean (`ConstantMean`) - common for most liquid financial assets\n", - - " * Autoregressive (`ARX`) with optional exogenous regressors\n", - - " * Heterogeneous (`HARX`) autoregression with optional exogenous regressors\n", - - " * Exogenous regressors only (`LS`)\n", - + " * Zero mean (`ZeroMean`) - useful if using residuals from a model estimated separately\n", + " * Constant mean (`ConstantMean`) - common for most liquid financial assets\n", + " * Autoregressive (`ARX`) with optional exogenous regressors\n", + " * Heterogeneous (`HARX`) autoregression with optional exogenous regressors\n", + " * Exogenous regressors only (`LS`)\n", "* A volatility process (`arch.volatility`)\n", - - " * ARCH (`ARCH`)\n", - - " * GARCH (`GARCH`)\n", - - " * GJR-GARCH (`GARCH` using `o` argument) \n", - - " * TARCH/ZARCH (`GARCH` using `power` argument set to `1`)\n", - - " * Power GARCH and Asymmetric Power GARCH (`GARCH` using `power`)\n", - - " * Heterogeneous ARCH (`HARCH`)\n", - - " * Parameterless Models\n", - - " * Exponentially Weighted Moving Average Variance, known as RiskMetrics (`EWMAVariance`)\n", - - " * Weighted averages of EWMAs, known as the RiskMetrics 2006 methodology (`RiskMetrics2006`)\n", - + " * ARCH (`ARCH`)\n", + " * GARCH (`GARCH`)\n", + " * GJR-GARCH (`GARCH` using `o` argument) \n", + " * TARCH/ZARCH (`GARCH` using `power` argument set to `1`)\n", + " * Power GARCH and Asymmetric Power GARCH (`GARCH` using `power`)\n", + " * Heterogeneous ARCH (`HARCH`)\n", + " * Parameterless Models\n", + " * Exponentially Weighted Moving Average Variance, known as RiskMetrics (`EWMAVariance`)\n", + " * Weighted averages of EWMAs, known as the RiskMetrics 2006 methodology (`RiskMetrics2006`)\n", "* A distribution (`arch.distribution`)\n", - - " * Normal (`Normal`)\n", - - " * Standardized Students's T (`StudentsT`)" - + " * Normal (`Normal`)\n", + " * Standardized Students's T (`StudentsT`)" ] - }, - { - "cell_type": "heading", - "level": 3, - "metadata": {}, - "source": [ - "Mean Models" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The first choice is the mean model. For many liquid financial assets, a constant mean (or even zero) is adequate. For other series, such as inflation, a more complicated model may be required. These examples make use of Core CPI downloaded from the [Federal Reserve Economic Data](http://research.stlouisfed.org/fred2/) site." - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "core_cpi = web.DataReader(\"CPILFESL\", \"fred\", dt.datetime(1957,1,1), dt.datetime(2014,1,1))\n", - "ann_inflation = 100 * core_cpi.CPILFESL.pct_change(12).dropna()\n", - "fig = ann_inflation.plot()" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "display_data", - - "png": 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qJjEmwF3FuAXjHn2ReKq5gVVCzaxZrnldW02Z4LgFIupw1lmvTdRCYkBoNasC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MqIgMhRsjC7lVfu0RTMST+nFKKH8OFWDNUGWRNVY0uo1gkhskExGVxoCKCEBWVRFN6Jmd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\ngRFR9g748cYR7Y6XG8rb6wtrn0gOqdBRr89/YCNuszTOtvNqAGME6of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"text": [ - - "" - + "" ] - } - ], - "prompt_number": 8 - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "All mean models are initialized with constant variance and normal errors. For `ARX` models, the `lags` argument specifies the lags to include in the model." - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from arch.univariate import ARX\n", - "ar = ARX(ann_inflation, lags = [1, 3, 12])\n", - "print(ar.fit().summary())" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - " AR - Constant Variance Model Results \n", - "==============================================================================\n", - "Dep. Variable: CPILFESL R-squared: 0.991\n", - "Mean Model: AR Adj. R-squared: 0.991\n", - - "Vol Model: Constant Variance Log-Likelihood: -13.7823\n", - - "Distribution: Normal AIC: 37.5646\n", - - "Method: Maximum Likelihood BIC: 60.1233\n", - + "Vol Model: Constant Variance Log-Likelihood: -13.4570\n", + "Distribution: Normal AIC: 36.9141\n", + "Method: Maximum Likelihood BIC: 59.4728\n", " No. Observations: 673\n", - - "Date: Thu, Oct 16 2014 Df Residuals: 668\n", - - "Time: 21:55:33 Df Model: 5\n", - + "Date: Thu, Feb 26 2015 Df Residuals: 668\n", + "Time: 22:41:33 Df Model: 5\n", " Mean Model \n", - "================================================================================\n", - " coef std err t P>|t| 95.0% Conf. Int.\n", - "--------------------------------------------------------------------------------\n", - - "Const 0.0424 4.825e-04 87.895 0.000 [4.146e-02,4.336e-02]\n", - - "CPILFESL[1] 1.1927 1.234e-03 966.828 0.000 [ 1.190, 1.195]\n", - - "CPILFESL[3] -0.1803 1.699e-03 -106.129 0.000 [ -0.184, -0.177]\n", - - "CPILFESL[12] -0.0235 1.916e-04 -122.432 0.000 [-2.384e-02,-2.309e-02]\n", - + "Const 0.0424 4.819e-04 88.012 0.000 [4.147e-02,4.336e-02]\n", + "CPILFESL[1] 1.1929 1.235e-03 965.988 0.000 [ 1.190, 1.195]\n", + "CPILFESL[3] -0.1805 1.701e-03 -106.139 0.000 [ -0.184, -0.177]\n", + "CPILFESL[12] -0.0235 1.916e-04 -122.415 0.000 [-2.383e-02,-2.308e-02]\n", " Volatility Model \n", - "==============================================================================\n", - " coef std err t P>|t| 95.0% Conf. Int.\n", - "------------------------------------------------------------------------------\n", - - "sigma2 0.0610 4.891e-05 1248.048 0.000 [6.095e-02,6.114e-02]\n", - + "sigma2 0.0610 4.889e-05 1247.232 0.000 [6.089e-02,6.108e-02]\n", "==============================================================================\n", - "\n", - "Covariance estimator: White's Heteroskedasticity Consistent Estimator\n" - ] - } - ], - "prompt_number": 9 - }, - { - "cell_type": "heading", - "level": 3, - "metadata": {}, - "source": [ - "Volatility Processes" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - - "Volatility processes can be added a a mean model using the `volatility` property. This example adds an ARCH(3) process to model volatility. The arguments `iter` and `disp` are used in `fit()` to suppress estimation output." - + "Volatility processes can be added a a mean model using the `volatility` property. This example adds an ARCH(5) process to model volatility. The arguments `iter` and `disp` are used in `fit()` to suppress estimation output." ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from arch.univariate import ARCH, GARCH\n", - "ar.volatility = ARCH(p=5)\n", - "res = ar.fit(iter=0, disp='off')\n", - "print(res.summary())" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - " AR - ARCH Model Results \n", - "==============================================================================\n", - "Dep. Variable: CPILFESL R-squared: 0.991\n", - "Mean Model: AR Adj. R-squared: 0.991\n", - - "Vol Model: ARCH Log-Likelihood: 84.2339\n", - - "Distribution: Normal AIC: -148.468\n", - - "Method: Maximum Likelihood BIC: -103.350\n", - + "Vol Model: ARCH Log-Likelihood: 85.0296\n", + "Distribution: Normal AIC: -150.059\n", + "Method: Maximum Likelihood BIC: -104.942\n", " No. Observations: 673\n", - - "Date: Thu, Oct 16 2014 Df Residuals: 663\n", - - "Time: 21:55:33 Df Model: 10\n", - + "Date: Thu, Feb 26 2015 Df Residuals: 663\n", + "Time: 22:41:33 Df Model: 10\n", " Mean Model \n", - "================================================================================\n", - " coef std err t P>|t| 95.0% Conf. Int.\n", - "--------------------------------------------------------------------------------\n", - - "Const 0.0262 4.752e-04 55.233 0.000 [2.531e-02,2.718e-02]\n", - - "CPILFESL[1] 1.0853 1.478e-03 734.265 0.000 [ 1.082, 1.088]\n", - - "CPILFESL[3] -0.0754 1.733e-03 -43.517 0.000 [-7.880e-02,-7.201e-02]\n", - - "CPILFESL[12] -0.0209 1.418e-04 -147.519 0.000 [-2.120e-02,-2.064e-02]\n", - + "Const 0.0269 4.791e-04 56.172 0.000 [2.597e-02,2.785e-02]\n", + "CPILFESL[1] 1.0864 1.465e-03 741.578 0.000 [ 1.084, 1.089]\n", + "CPILFESL[3] -0.0767 1.720e-03 -44.593 0.000 [-8.005e-02,-7.331e-02]\n", + "CPILFESL[12] -0.0209 1.407e-04 -148.591 0.000 [-2.118e-02,-2.063e-02]\n", " Volatility Model \n", - "==============================================================================\n", - " coef std err t P>|t| 95.0% Conf. Int.\n", - "------------------------------------------------------------------------------\n", - - "omega 9.5758e-03 4.889e-06 1958.645 0.000 [9.566e-03,9.585e-03]\n", - - "alpha[1] 0.1321 1.714e-03 77.080 0.000 [ 0.129, 0.136]\n", - - "alpha[2] 0.2244 4.076e-03 55.065 0.000 [ 0.216, 0.232]\n", - - "alpha[3] 0.1753 5.152e-03 34.029 8.302e-254 [ 0.165, 0.185]\n", - - "alpha[4] 0.2664 7.021e-03 37.938 0.000 [ 0.253, 0.280]\n", - - "alpha[5] 0.1730 5.776e-03 29.947 4.838e-197 [ 0.162, 0.184]\n", - + "omega 9.6879e-03 4.632e-06 2091.551 0.000 [9.679e-03,9.697e-03]\n", + "alpha[1] 0.1313 1.695e-03 77.440 0.000 [ 0.128, 0.135]\n", + "alpha[2] 0.2271 4.129e-03 54.987 0.000 [ 0.219, 0.235]\n", + "alpha[3] 0.1715 5.021e-03 34.166 7.816e-256 [ 0.162, 0.181]\n", + "alpha[4] 0.2643 6.889e-03 38.374 0.000 [ 0.251, 0.278]\n", + "alpha[5] 0.1712 5.521e-03 31.005 4.669e-211 [ 0.160, 0.182]\n", "==============================================================================\n", - "\n", - "Covariance estimator: robust\n" - ] - } - ], - "prompt_number": 10 - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Plotting the standardized residuals and the conditional volatility shows some large (in magnitude) errors, even when standardized." - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "fig = res.plot()" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "display_data", - - "png": 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SIDuE+RAIBALB2EQIZAIBaBOxIVRkAoFAIBhmhEA2QhE+ZMMMUd8iyLRAIBAIhhshkI1Q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\nrlkXej3PN22TOkhWpU60w8a6hdls0dzoAF+8flHINZeREnhsR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b+kCPVXEVF7Tm8nDyN214wSzuC9fZXY7erNdLGjXJVeZjVosaicsWUe2ekHlq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\n/chy2rBP6AQ4YM0ZZmrYfPvyeeDzU7C7ogPBUIgaZ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"text": [ - - "" - + "" ] - } - ], - "prompt_number": 11 - }, - { - "cell_type": "heading", - "level": 3, - "metadata": {}, - "source": [ - "Distributions" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Finally the distribution can be changed from the default normal to a standardized Student's T using the `distribution` property of a mean model.\n", - "\n", - "The Student's t distribution improves the model, and the degree of freedom is estimated to be near 8." - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from arch.univariate import StudentsT\n", - "ar.distribution = StudentsT()\n", - "res = ar.fit(iter=0, disp='off')\n", - "print(res.summary())" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - " AR - ARCH Model Results \n", - "====================================================================================\n", - "Dep. Variable: CPILFESL R-squared: 0.991\n", - "Mean Model: AR Adj. R-squared: 0.991\n", - - "Vol Model: ARCH Log-Likelihood: 90.0382\n", - - "Distribution: Standardized Student's t AIC: -158.076\n", - - "Method: Maximum Likelihood BIC: -108.447\n", - + "Vol Model: ARCH Log-Likelihood: 90.6879\n", + "Distribution: Standardized Student's t AIC: -159.376\n", + "Method: Maximum Likelihood BIC: -109.747\n", " No. Observations: 673\n", - - "Date: Thu, Oct 16 2014 Df Residuals: 662\n", - - "Time: 21:55:34 Df Model: 11\n", - + "Date: Thu, Feb 26 2015 Df Residuals: 662\n", + "Time: 22:41:34 Df Model: 11\n", " Mean Model \n", - "================================================================================\n", - " coef std err t P>|t| 95.0% Conf. Int.\n", - "--------------------------------------------------------------------------------\n", - - "Const 0.0286 4.875e-04 58.692 0.000 [2.766e-02,2.957e-02]\n", - - "CPILFESL[1] 1.0852 1.526e-03 711.125 0.000 [ 1.082, 1.088]\n", - - "CPILFESL[3] -0.0699 1.823e-03 -38.322 0.000 [-7.345e-02,-6.630e-02]\n", - - "CPILFESL[12] -0.0265 2.264e-04 -117.177 0.000 [-2.698e-02,-2.609e-02]\n", - + "Const 0.0289 4.922e-04 58.687 0.000 [2.792e-02,2.985e-02]\n", + "CPILFESL[1] 1.0863 1.514e-03 717.422 0.000 [ 1.083, 1.089]\n", + "CPILFESL[3] -0.0713 1.814e-03 -39.273 0.000 [-7.481e-02,-6.770e-02]\n", + "CPILFESL[12] -0.0264 2.238e-04 -117.723 0.000 [-2.679e-02,-2.591e-02]\n", " Volatility Model \n", - "==============================================================================\n", - " coef std err t P>|t| 95.0% Conf. Int.\n", - "------------------------------------------------------------------------------\n", - - "omega 0.0113 9.750e-06 1156.569 0.000 [1.126e-02,1.130e-02]\n", - - "alpha[1] 0.1703 2.792e-03 60.979 0.000 [ 0.165, 0.176]\n", - - "alpha[2] 0.2160 4.371e-03 49.415 0.000 [ 0.207, 0.225]\n", - - "alpha[3] 0.1421 4.820e-03 29.479 5.278e-191 [ 0.133, 0.152]\n", - - "alpha[4] 0.2215 6.151e-03 36.010 5.938e-284 [ 0.209, 0.234]\n", - - "alpha[5] 0.1643 7.658e-03 21.451 4.456e-102 [ 0.149, 0.179]\n", - + "omega 0.0113 9.303e-06 1219.157 0.000 [1.132e-02,1.136e-02]\n", + "alpha[1] 0.1690 2.743e-03 61.592 0.000 [ 0.164, 0.174]\n", + "alpha[2] 0.2179 4.372e-03 49.839 0.000 [ 0.209, 0.226]\n", + "alpha[3] 0.1402 4.705e-03 29.796 4.454e-195 [ 0.131, 0.149]\n", + "alpha[4] 0.2193 5.934e-03 36.962 4.714e-299 [ 0.208, 0.231]\n", + "alpha[5] 0.1628 7.277e-03 22.373 7.177e-111 [ 0.149, 0.177]\n", " Distribution \n", - "==============================================================================\n", - " coef std err t P>|t| 95.0% Conf. Int.\n", - "------------------------------------------------------------------------------\n", - - "nu 8.9031 13.321 0.668 0.504 [-17.206, 35.012]\n", - + "nu 9.0936 14.446 0.630 0.529 [-19.219, 37.406]\n", "==============================================================================\n", - "\n", - "Covariance estimator: robust\n" - ] - } - ], - "prompt_number": 12 - } - ], - "metadata": {} - } - ] - -} +} \ No newline at end of file