{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Generalized Method of Moments with ARCH and GARCH Models\n", "By Delaney Granizo-Mackenzie and Andrei Kirilenko developed as part of the Masters of Finance curriculum at MIT Sloan.\n", "\n", "Part of the Quantopian Lecture Series:\n", "\n", "* [www.quantopian.com/lectures](https://www.quantopian.com/lectures)\n", "* [github.com/quantopian/research_public](https://github.com/quantopian/research_public)\n", "\n", "Notebook released under the Creative Commons Attribution 4.0 License.\n", "\n", "\n", "AutoRegressive Conditionally Heteroskedastic (ARCH) occurs when the volatility of a time series is also autoregressive." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import cvxopt\n", "from functools import partial\n", "import math\n", "import numpy as np\n", "import scipy\n", "from scipy import stats\n", "import statsmodels.api as sm\n", "from statsmodels.stats.stattools import jarque_bera\n", "\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simulating a GARCH(1, 1) Case\n", "We'll start by using Monte Carlo sampling to simulate a GARCH(1, 1) process. Our dynamics will be\n", "\n", "$$\\sigma_1 = \\sqrt{\\frac{a_0}{1-a_1-b_1}} \\\\\n", "\\sigma_t^2 = a_0 + a_1 x_{t-1}^2+b_1 \\sigma_{t-1}^2 \\\\\n", "x_t = \\sigma_t \\epsilon_t \\\\\n", "\\epsilon \\sim \\mathcal{N}(0, 1)$$\n", "\n", "Our parameters will be $a_0 = 1$, $a_1=0.1$, and $b_1=0.8$. We will drop the first 10% (burn-in) of our simulated values." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Define parameters\n", "a0 = 1.0\n", "a1 = 0.1\n", "b1 = 0.8\n", "sigma1 = math.sqrt(a0 / (1 - a1 - b1))" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def simulate_GARCH(T, a0, a1, b1, sigma1):\n", " \n", " # Initialize our values\n", " X = np.ndarray(T)\n", " sigma = np.ndarray(T)\n", " sigma[0] = sigma1\n", " \n", " for t in range(1, T):\n", " # Draw the next x_t\n", " X[t - 1] = sigma[t - 1] * np.random.normal(0, 1)\n", " # Draw the next sigma_t\n", " sigma[t] = math.sqrt(a0 + b1 * sigma[t - 1]**2 + a1 * X[t - 1]**2)\n", " \n", " X[T - 1] = sigma[T - 1] * np.random.normal(0, 1) \n", " \n", " return X, sigma" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we'll compare the tails of the GARCH(1, 1) process with normally distributed values. We expect to see fatter tails, as the GARCH(1, 1) process will experience extreme values more often." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[ 1.54888889e-01, 2.41111111e-02, 1.11111111e-03,\n", " 0.00000000e+00],\n", " [ 1.58655254e-01, 2.27501319e-02, 1.34989803e-03,\n", " 3.16712418e-05]])" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X, _ = simulate_GARCH(10000, a0, a1, b1, sigma1)\n", "X = X[1000:] # Drop burn in\n", "X = X / np.std(X) # Normalize X\n", "\n", "def compare_tails_to_normal(X):\n", " # Define matrix to store comparisons\n", " A = np.zeros((2,4))\n", " for k in range(4):\n", " A[0, k] = len(X[X > (k + 1)]) / float(len(X)) # Estimate tails of X\n", " A[1, k] = 1 - stats.norm.cdf(k + 1) # Compare to Gaussian distribution\n", " return A\n", "\n", "compare_tails_to_normal(X)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Sure enough, the tails of the GARCH(1, 1) process are fatter. We can also look at this graphically, although it's a little tricky to see." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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CC3LVVVflT/7kT/Lss8/mL/7iL3LiiSfmYx/7WO68885MmTIl8+fPT0NDQy67\n7LIsXrw49fX1WbJkScaNG1dkNAAAgCQFl6KxY8fm05/+9IuOr1q16kXHOjo60tHRUWQcAACAFyl0\n+xwAAMBopxQBAAClphQBAAClphQBAAClphQBAAClphQBAAClphQBAAClphQBAAClphQBAAClphQB\nAAClphQBAAClphQBAAClphQBAAClphQBAACl1ljrAAAAjF6V/fvT29s77HFTp05NQ0NDAYnglacU\nAQDwW+3duS3Lb9qe5ok9VY/Zs6M/t167MNOmTSswGbxylCIAAF5S88S2jDvi6FrHgMK4pggAACg1\npQgAACg1pQgAACg1pQgAACg1pQgAACg1pQgAACg1pQgAACg1pQgAACg1pQgAACg1pQgAACg1pQgA\nACg1pQgAACg1pQgAACg1pQgAACg1pQgAACg1pQgAACi1xloHAICD0eDgYHp6eoY9rre3t4A0APwu\nlCIAOAA9PT1ZtPSONE9sG9a4gccfzaRjTigoFQAHQikCgAPUPLEt4444elhj9uzoKygNAAfKNUUA\nAECpKUUAAECpKUUAAECpKUUAAECpKUUAAECpKUUAAECpKUUAAECpKUUAAECpKUUAAECpKUUAAECp\nKUUAAECpNRb9BCtWrMimTZsyODiYD3zgAznppJNy+eWXp1Kp5KijjsqKFSvS1NSUdevWZfXq1Wlo\naMh5552Xzs7OoqMBAAAUW4oeeuihPPbYY1mzZk2efvrpzJ8/P295y1ty4YUX5owzzsj111+ftWvX\n5txzz83KlSuzdu3aNDY2prOzMx0dHZkwYUKR8QAAAIrdPnfyySfnhhtuSJJMmDAhe/bsySOPPJLT\nTjstSTJv3rxs3LgxW7ZsSXt7e1paWjJ27NjMnDkzmzZtKjIaAABAkoJLUX19fQ477LAkyd133523\nve1t2bt3b5qampIkkyZNSn9/fwYGBtLa2jo0rrW1Ndu2bSsyGgAAQJIRuKYoSb761a9m7dq1ufnm\nm9PR0TF0vFKp/Mbzf9vxX9fV1fWK5OPgZh6QmAf8ykjNha1bt47I88DBqru7Ozt37qxpBr8bqFbh\npeib3/xmbrrpptx8880ZN25cWlpasm/fvowZMyZ9fX2ZPHly2traXrAy1NfXlxkzZrzsY8+aNavI\n6BwEurq6zAPMA4aM5FwYP358ct+TI/JccDCaPn16pk2bVrPn97uBpPpiXOj2uV27duVTn/pUPve5\nzz3/yyMDi+ZXAAARaklEQVTJKaeckg0bNiRJNmzYkDlz5qS9vT3d3d3ZtWtXdu/enc2bN5vEAADA\niCh0pej+++/P008/nUsuuSSVSiV1dXW57rrrsmzZsnzxi1/MlClTMn/+/DQ0NOSyyy7L4sWLU19f\nnyVLlmTcuHFFRgMAAEhScClasGBBFixY8KLjq1atetGxjo6OF1xvBAAAMBJG5EYLAACUR2X//vT2\n9g573NSpU9PQ0FBAInhpShEAAK+ovTu3ZflN29M8safqMXt29OfWaxfW9OYMlJdSBADAK655YlvG\nHXF0rWNAVQq9+xwAAMBopxQBAAClphQBAAClphQBAAClphQBAAClphQBAAClphQBAAClphQBAACl\nphQBAAClphQBAAClphQBAACl1ljrAABQa4ODg+np6RnWmN7e3oLSADDSlCIASq+npyeLlt6R5olt\nVY8ZePzRTDrmhAJTATBSlCIASNI8sS3jjji66vP37OgrMA0AI8k1RQAAQKkpRQAAQKkpRQAAQKkp\nRQAAQKkpRQAAQKm5+xwAADVX2b//gD//a+rUqWloaHiFE1EmShEAADW3d+e2LL9pe5onDu+DlPfs\n6M+t1y7MtGnTCkpGGShFAACMCsP9vDB4pbimCAAAKDWlCAAAKDWlCAAAKDWlCAAAKDWlCAAAKDWl\nCAAAKDWlCAAAKDWlCAAAKDWlCAAAKDWlCAAAKDWlCAAAKDWlCAAAKDWlCAAAKDWlCAAAKDWlCAAA\nKDWlCAAAKDWlCAAAKDWlCAAAKLXGWgcAgFfS4OBgenp6hjWmt7e3oDQAHAyUIgAOKT09PVm09I40\nT2yreszA449m0jEnFJgKgNFMKQLgkNM8sS3jjji66vP37OgrMA0Ao51rigAAgFIrvBR9//vfz9vf\n/vbcfvvtSZInn3wyixYtyoUXXphLL700v/jFL5Ik69atS2dnZ971rnfl7rvvLjoWAABAkoJL0d69\ne3Pddddl9uzZQ8duuOGGLFq0KLfddlte85rXZO3atdm7d29WrlyZW265JatXr84tt9ySZ555psho\nAAAASQouRWPHjs3f/d3f5cgjjxw69vDDD2fevHlJknnz5mXjxo3ZsmVL2tvb09LSkrFjx2bmzJnZ\ntGlTkdEAAACSFFyK6uvrM2bMmBcc27t3b5qampIkkyZNSn9/fwYGBtLa2jp0Tmtra7Zt21ZkNAAA\ngCQ1vvtcpVIZ1vFf19XV9UrG4SBlHpCYB/xKd3d3rSMAI6y7uzs7d+580XG/G6jWiJeilpaW7Nu3\nL2PGjElfX18mT56ctra2F6wM9fX1ZcaMGS/7WLNmzSoyKgeBrq4u8wDzgCFdXV2ZPn16ct+TtY4C\njJDK/v1paWnJ+PHjX3C8u7v7+feD32Lq1KlpaGgoOh41Vm0xHvFSdMopp2TDhg35oz/6o2zYsCFz\n5sxJe3t7rr766uzatSt1dXXZvHlzli1bNtLRAAA4yOzduS3Lb9qe5ok9L/7hb/kDyZ4d/bn12oWZ\nNm1awek4WBRairZs2ZKrr746P/vZz9LQ0JA1a9bk5ptvzpVXXpkvfvGLmTJlSubPn5+GhoZcdtll\nWbx4cerr67NkyZKMGzeuyGgAABwihvuBzfDrCi1Fb3zjG/PlL3/5RcdXrVr1omMdHR3p6OgoMg4A\nAMCLFP7hrQAAAKOZUgQAAJSaUgQAAJSaUgQAAJSaUgQAAJSaUgQAAJSaUgQAAJRaoZ9TBAAHanBw\nMD09v+ET6l/C1q1b09LSUlAiAA5VShEAo1JPT08WLb0jzRPbhjVu4PFHM+mYEwpKBcChSCkCYNRq\nntiWcUccPawxe3b0FZQGgEOVa4oAAIBSU4oAAIBSU4oAAIBSU4oAAIBSU4oAAIBSU4oAAIBSU4oA\nAIBSU4oAAIBSU4oAAIBSa6x1AAAAGEmV/fvT29s77HFTp05NQ0NDAYmoNaUIAIBS2btzW5bftD3N\nE3uqHrNnR39uvXZhpk2bVmAyakUpAgCgdJontmXcEUfXOgajhFIEAAAv40C33CW23R0MlCIACjc4\nOJienuq3qSQ54P/5ACjCgWy5S2y7O1goRQAUrqenJ4uW3pHmiW1Vjxl4/NFMOuaEAlMBDI8td4cu\npQiAETHc/5nYs6OvwDQA8CtKEQDDYiscAIcapQiAYbEVDoBDjVIEwLDZCgfAoaS+1gEAAABqSSkC\nAABKTSkCAABKTSkCAABKTSkCAABKzd3nAErMZw4BgFIEUGo+cwgAlCKA0vOZQwDFqezff0Ar7FOn\nTk1DQ0MBifhNlCIAACjI3p3bsvym7WmeWP1W5T07+nPrtQszbdq0ApPxXylFAABQoOGuyDPy3H0O\nAAAoNStFAAAwirgOaeQpRQAAMIq4DmnkKUUAADDKuA5pZLmmCAAAKDWlCAAAKDXb5wBGmcHBwfT0\nVL+P/Jdjkgz7AtsDuZAXAA41ShHAKNPT05NFS+9I88S2qscMPP5oDhs/aVhjfjlu0jEnDDciAKPM\ngd6xLnHXumSUlaJrr702W7ZsSV1dXa666qqcdNJJtY4EUBPDvcB2z46+A7ood8+OvuFGA2AUOpA7\n1iXuWvdLo6YUPfLII9m6dWvWrFmTnp6eLFu2LGvWrKl1LOAQdCDb05ID+0vagTyXLW0AHIgD+ePY\nSH0m0kj+7j0Qo6YUfetb38rpp5+e5PkX/8wzz2T37t1paWmpcTKo3kj9Bz/a31hG8pqY/zq2Wgey\nPW3300/mkx+cnde+9rXDeq7e3t4sv+lbw94KZ0sbACPhQFaYDuR34oH8PhzJVaxRU4q2b9+e6dOn\nD31/xBFHZPv27UrRQaC39//LwsVL0jTm94Y17u1z/5+8q/Oc3+m5t27dmvHjx/9Oj/FK6u3tzeX/\n7735vXGtVY/5+a6f5VMfPXfYbywj8TwH6kDy7ej7Yca2HD6sMcnzr+sD574hhx9++LDyDdfPdz01\n7NeUPP+6Dn/18N/M9+zoH9b5e3f+LEndsJ/nQMaN5jEj+VzyjfyYkXyuQzHfofiaRvK5DuV8h42f\nNKwxB/I78UB/H46UukqlUql1iCRZvnx53va2t+W0005LkixcuDDXXnttjjvuuN94fldX10jGAwAA\nDkKzZs162XNGzUpRW1tbtm/fPvR9f39/jjrqqN96fjUvDgAA4OWMmg9vnT17djZs2JAk+e53v5vJ\nkyenubm5xqkAAIBD3ahZKZoxY0ZOPPHEnH/++WloaMjy5ctrHQkAACiBUXNNEQAAQC2Mmu1zAAAA\ntaAUAQAApaYUAQAApXbQlqL+/v68733vy0UXXZRFixble9/7Xq0jUSM333xz3vGOd+S8885Ld3d3\nreNQQ9u3b8+b3/zmPPLII7WOQg0MDg7myiuvzMKFC3P++edn06ZNtY7ECLv22mtz/vnn54ILLsh3\nvvOdWsehhlasWJHzzz8/5513Xv7P//k/tY5DDT377LN5+9vfnnvuueclzxs1d58brn/4h39IR0dH\nFixYkM2bN+ev//qv8/nPf77WsRhhjz32WB544IH80z/9U77//e/na1/7WqZPn17rWNTIpz71qRx7\n7LG1jkGN3Hvvvfm93/u93HHHHXnssceydOnS3HXXXbWOxQh55JFHsnXr1qxZsyY9PT1ZtmxZ1qxZ\nU+tY1MBDDz2Uxx57LGvWrMnTTz+d+fPn5+1vf3utY1EjK1euzOGHH/6y5x20pejII4/M008/nSTZ\nsWNHWltba5yIWnjwwQdz5plnpq6uLieccEJOOOGEWkeiRv7v//2/GT9+fKZNm1brKNTIOeeckz/8\nwz9MkrS2tmbHjh01TsRI+ta3vpXTTz89STJ16tQ888wz2b17d1paWmqcjJF28sknp729PUkyYcKE\n7N27N5VKJXV1dTVOxkj74Q9/mN7e3sydO/dlzz1ot88tWrQoDzzwQM4888xcc801+chHPlLrSNTA\nE088kZ/85Cd53/vel/e85z35/ve/X+tI1MAvfvGLfPazn80ll1xS6yjUUGNjY8aOHZskueWWW3L2\n2WfXOBEjafv27S/4A+kRRxyR7du31zARtVJfX5/DDjssSXLXXXdl7ty5ClFJrVixIldeeWVV5x4U\nK0V33XVX7r777tTV1Q01/be+9a35gz/4g3zwgx/MN77xjVx33XX5zGc+U+uoFOi/zoMkqVQqGRgY\nyJw5c/L5z38+XV1dufrqq3P33XfXOClF+m3vBxdccEHGjRuX5Pm5waHtN82DJUuWZPbs2bn99tvz\nve99L5/73OdqHZMa8j7AV7/61XzpS1/KzTffXOso1MA999yTk08+OVOmTEny8u8JB+2Ht77//e/P\npZdemje84Q3Zt29fzjjjjDz44IO1jsUIu/HGG/P7v//7Oeuss5Ikp556ajZu3FjjVIy0Cy64IJVK\nJZVKJT/60Y8yadKk3HDDDZk6dWqtozHC7rrrrnzlK1/JypUr09TUVOs4jKAbb7wxbW1tWbBgQZLk\n9NNPz7p169Lc3FzjZNTCN7/5zfzv//2/c/PNN2f8+PG1jkMNXHrppXn88cdTX1+fJ598MmPHjs3H\nP/7xnHLKKb/x/INipeg3Oe644/Ltb387b3jDG/Lv//7vOe6442odiRqYM2dO1qxZk7POOis9PT15\n1ateVetI1MA//uM/Dn29dOnSvPOd71SISujHP/5xvvjFL+b2229XiEpo9uzZufHGG7NgwYJ897vf\nzeTJkxWiktq1a1c+9alP5Qtf+IJCVGLXX3/90Nc33nhjjjnmmN9aiJKDuBR98IMfzLJly/LAAw+k\nrq4uV199da0jUQNvfOMb8y//8i85//zzkyTXXHNNjRMBtXL33Xdnx44def/73z+0pW7VqlVpbDxo\nf9UxDDNmzMiJJ56Y888/Pw0NDVm+fHmtI1Ej999/f55++ulccsklQ+8FK1as8IdTXtJBu30OAADg\nlXDQ3n0OAADglaAUAQAApaYUAQAApaYUAQAApaYUAQAApaYUAQAApaYUATDqXXvttfne975X6xgA\nHKJ8ThEAAFBqPuYbgFGlv78/H/3oR5Mkzz77bBYsWJB77rknF198cd7ylrfkz//8z/Poo4/muOOO\nS319fd761rfm5JNPzgc/+MHMnj07jzzySFpbW/NHf/RHWbduXZ544onccMMNOf744/PVr341f//3\nf5/DDjssg4ODue666zJlypQav2IAas32OQBGlfvvvz9Tp07N6tWrc+utt2bPnj2pq6tLkvzrv/5r\n/vM//zNr167NsmXL8s1vfnNoXG9vb/7kT/4kX/rSl9Lb25snnngiN998c84+++x86UtfSpLs2rUr\nf/3Xf50vfOELmTNnTm677baavEYARhelCIBR5X/8j/+RjRs3ZunSpfn617+eCy64IL/c6f2DH/wg\nM2fOTJJMmjQpM2bMGBp3xBFH5DWveU2SZPLkyUM/mzx5cnbu3Dl0ztKlS7No0aL80z/9U5566qmR\nfGkAjFK2zwEwqvz+7/9+7r///jz88MNZv359brnlljQ1NSVJ9u/fP7Rq9OsaGxt/6/eVSiXPPfdc\nLr300tx777059thjc/vtt6e7u7u4FwLAQcNKEQCjyn333Zd///d/zymnnJJrrrkmP/3pTzM4OJjk\n+cL0yyIzMDCQzZs3D417ufsG7d69Ow0NDZkyZUqeffbZfPWrX82+ffuKeyEAHDSsFAEwqrzuda/L\nNddckzFjxiRJ3v/+92fDhg1Jnt9ad++992bBggV5zWtek5kzZ6ahoSFJXrCC9JtWkyZOnJizzz47\nf/zHf5xXvepVed/73pcrrrgiGzZsyBlnnDECrwyA0cotuQE4aOzcuTNf+9rX8o53vCOVSiXnnHNO\n/uqv/ionnXRSraMBcBCzUgTAQaOlpSUPPfRQVq9encbGxsybN08hAuB3ZqUIAAAoNTdaAAAASk0p\nAgAASk0pAgAASk0pAgAASk0pAgAASu3/B9fic7yBV3SGAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.hist(X, bins=50)\n", "plt.xlabel('sigma')\n", "plt.ylabel('observations');" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Sample values from a normal distribution\n", "X2 = np.random.normal(0, 1, 9000)\n", "both = np.matrix([X, X2])" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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M59ztDYwtBOFab1+QEsGA8GVFnxEE7QWoHABFkO6vnB31NGuH7mPDRrKYUiAh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PWVk5irCm/JZBKFlUGs8JeQigyDgSEYAkqJRK3OPMcwPT1du/fWrVvxyrFK++zYsgM/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\nD7TqJb+us40h+fBkEAhfCuNq0Yk6FCBBA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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot both the GARCH and normal values\n", "plt.plot(both.T, alpha=.7);\n", "plt.axhline(X2.std(), color='yellow', linestyle='--')\n", "plt.axhline(-X2.std(), color='yellow', linestyle='--')\n", "plt.axhline(3*X2.std(), color='red', linestyle='--')\n", "plt.axhline(-3*X2.std(), color='red', linestyle='--')\n", "plt.xlabel('time')\n", "plt.ylabel('sigma');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What we're looking at here is the GARCH process in blue and the normal process in green. The 1 and 3 std bars are drawn on the plot. We can see that the blue GARCH process tends to cross the 3 std bar much more often than the green normal one." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Testing for ARCH Behavior\n", "The first step is to test for ARCH conditions. To do this we run a regression on $x_t$ fitting the following model.\n", "\n", "$$x_t^2 = a_0 + a_1 x_{t-1}^2 + \\dots + a_p x_{t-p}^2$$\n", "\n", "We use OLS to estimate $\\hat\\theta = (\\hat a_0, \\hat a_1, \\dots, \\hat a_p)$ and the covariance matrix $\\hat\\Omega$. We can then compute the test statistic\n", "\n", "$$F = \\hat\\theta \\hat\\Omega^{-1} \\hat\\theta'$$\n", "\n", "We will reject if $F$ is greater than the 95% confidence bars in the $\\mathcal(X)^2(p)$ distribution.\n", "\n", "To test, we'll set $p=20$ and see what we get." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(20, 1)\n", "F = 341.736612805\n", "p-value = 0.0\n", "[[ 82.59140112 71.46296619 42.80265659 5.9693111 5.61141539\n", " 30.89781715 36.54379448 21.58236845 30.66660757 -10.92922828\n", " 13.41504385 48.73313057 10.17361295 -70.71538298 23.39274787\n", " 40.53162163 56.12994402 -28.95568019 42.05335583 35.05024461]]\n" ] }, { "data": { "image/png": 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iIiKzxgJlBmKGl/FxGh8RERERkT6xQJkB7oMiIiIiIjIMFigz4OfhABdHa2SWNECrFcSO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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X, _ = simulate_GARCH(1100, a0, a1, b1, sigma1)\n", "X = X[100:] # Drop burn in\n", "\n", "p = 20\n", "\n", "# Drop the first 20 so we have a lag of p's\n", "Y2 = (X**2)[p:]\n", "X2 = np.ndarray((980, p))\n", "for i in range(p, 1000):\n", " X2[i - p, :] = np.asarray((X**2)[i-p:i])[::-1]\n", "\n", "model = sm.OLS(Y2, X2)\n", "model = model.fit()\n", "theta = np.matrix(model.params)\n", "omega = np.matrix(model.cov_HC0)\n", "F = np.asscalar(theta * np.linalg.inv(omega) * theta.T)\n", "\n", "print np.asarray(theta.T).shape\n", "\n", "plt.plot(range(20), np.asarray(theta.T))\n", "plt.xlabel('Lag Amount')\n", "plt.ylabel('Estimated Coefficient for Lagged Datapoint')\n", "\n", "print 'F = ' + str(F)\n", "\n", "chi2dist = scipy.stats.chi2(p)\n", "pvalue = 1-chi2dist.cdf(F)\n", "print 'p-value = ' + str(pvalue)\n", "\n", "# Finally let's look at the significance of each a_p as measured by the standard deviations away from 0\n", "print theta/np.diag(omega)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Fitting GARCH(1, 1) with MLE\n", "Once we've decided that the data might have an underlying GARCH(1, 1) model, we would like to fit GARCH(1, 1) to the data by estimating parameters.\n", "\n", "To do this we need the log-likelihood function\n", "\n", "$$\\mathcal{L}(\\theta) = \\sum_{t=1}^T - \\ln \\sqrt{2\\pi} - \\frac{x_t^2}{2\\sigma_t^2} - \\frac{1}{2}\\ln(\\sigma_t^2)$$\n", "\n", "To evaluate this function we need $x_t$ and $\\sigma_t$ for $1 \\leq t \\leq T$. We have $x_t$, but we need to compute $\\sigma_t$. To do this we need to make a guess for $\\sigma_1$. Our guess will be $\\sigma_1^2 = \\hat E[x_t^2]$. Once we have our initial guess we compute the rest of the $\\sigma$'s using the equation\n", "\n", "$$\\sigma_t^2 = a_0 + a_1 x_{t-1}^2 + b_1\\sigma_{t-1}^2$$" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true }, "outputs": [], "source": [ "X, _ = simulate_GARCH(10000, a0, a1, b1, sigma1)\n", "X = X[1000:] # Drop burn in" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Here's our function to compute the sigmas given the initial guess\n", "def compute_squared_sigmas(X, initial_sigma, theta):\n", " \n", " a0 = theta[0]\n", " a1 = theta[1]\n", " b1 = theta[2]\n", " \n", " T = len(X)\n", " sigma2 = np.ndarray(T)\n", " \n", " sigma2[0] = initial_sigma ** 2\n", " \n", " for t in range(1, T):\n", " # Here's where we apply the equation\n", " sigma2[t] = a0 + a1 * X[t-1]**2 + b1 * sigma2[t-1]\n", " \n", " return sigma2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's look at the sigmas we just generated." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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+daMU76mRVxeWZfxeR1e6pNwi6U0UnjiPsydoMvHIy8Wy62C9PDd7Z9RJQUIV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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(range(len(X)), compute_squared_sigmas(X, np.sqrt(np.mean(X**2)), (1, 0.5, 0.5)))\n", "plt.xlabel('Time')\n", "plt.ylabel('Sigma');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that we can compute the $\\sigma_t$'s, we'll define the actual log likelihood function. This function will take as input our observations $x$ and $\\theta$ and return $-\\mathcal{L}(\\theta)$. It is important to note that we return the negative log likelihood, as this way our numerical optimizer can minimize the function while maximizing the log likelihood.\n", "\n", "Note that we are constantly re-computing the $\\sigma_t$'s in this function." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def negative_log_likelihood(X, theta):\n", " \n", " T = len(X)\n", " \n", " # Estimate initial sigma squared\n", " initial_sigma = np.sqrt(np.mean(X ** 2))\n", " \n", " # Generate the squared sigma values\n", " sigma2 = compute_squared_sigmas(X, initial_sigma, theta)\n", " \n", " # Now actually compute\n", " return -sum(\n", " [-np.log(np.sqrt(2.0 * np.pi)) -\n", " (X[t] ** 2) / (2.0 * sigma2[t]) -\n", " 0.5 * np.log(sigma2[t]) for\n", " t in range(T)]\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we perform numerical optimization to find our estimate for\n", "$$\\hat\\theta = \\arg \\max_{(a_0, a_1, b_1)}\\mathcal{L}(\\theta) = \\arg \\min_{(a_0, a_1, b_1)}-\\mathcal{L}(\\theta)$$\n", "\n", "We have some constraints on this\n", "\n", "$$a_1 \\geq 0, b_1 \\geq 0, a_1+b_1 < 1$$" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "theta MLE: [ 0.89882685 0.10272342 0.81126578]\n" ] } ], "source": [ "# Make our objective function by plugging X into our log likelihood function\n", "objective = partial(negative_log_likelihood, X)\n", "\n", "# Define the constraints for our minimizer\n", "def constraint1(theta):\n", " return np.array([1 - (theta[1] + theta[2])])\n", "\n", "def constraint2(theta):\n", " return np.array([theta[1]])\n", "\n", "def constraint3(theta):\n", " return np.array([theta[2]])\n", "\n", "cons = ({'type': 'ineq', 'fun': constraint1},\n", " {'type': 'ineq', 'fun': constraint2},\n", " {'type': 'ineq', 'fun': constraint3})\n", "\n", "# Actually do the minimization\n", "result = scipy.optimize.minimize(objective, (1, 0.5, 0.5),\n", " method='SLSQP',\n", " constraints = cons)\n", "theta_mle = result.x\n", "print 'theta MLE: ' + str(theta_mle)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we would like a way to check our estimate. We'll look at two things:\n", "\n", "1. How fat are the tails of the residuals.\n", "2. How normal are the residuals under the Jarque-Bera normality test.\n", "\n", "We'll do both in our `check_theta_estimate` function." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Tails table\n", "[[ 1.58888889e-01 2.31111111e-02 1.22222222e-03 0.00000000e+00]\n", " [ 1.58655254e-01 2.27501319e-02 1.34989803e-03 3.16712418e-05]]\n", "\n", "Jarque-Bera probability normal: 0.547561671115\n" ] } ], "source": [ "def check_theta_estimate(X, theta_estimate):\n", " initial_sigma = np.sqrt(np.mean(X ** 2))\n", " sigma = np.sqrt(compute_squared_sigmas(X, initial_sigma, theta_estimate))\n", " epsilon = X / sigma\n", " print 'Tails table'\n", " print compare_tails_to_normal(epsilon / np.std(epsilon))\n", " print ''\n", " \n", " _, pvalue, _, _ = jarque_bera(epsilon)\n", " print 'Jarque-Bera probability normal: ' + str(pvalue)\n", " \n", "check_theta_estimate(X, theta_mle)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## GMM for Estimating GARCH(1, 1) Parameters\n", "We've just computed an estimate using MLE, but we can also use Generalized Method of Moments (GMM) to estimate the GARCH(1, 1) parameters.\n", "\n", "To do this we need to define our moments. We'll use 4.\n", "\n", "1. The residual $\\hat\\epsilon_t = x_t / \\hat\\sigma_t$\n", "2. The variance of the residual $\\hat\\epsilon_t^2$\n", "3. The skew moment $\\mu_3/\\hat\\sigma_t^3 = (\\hat\\epsilon_t - E[\\hat\\epsilon_t])^3 / \\hat\\sigma_t^3$\n", "4. The kurtosis moment $\\mu_4/\\hat\\sigma_t^4 = (\\hat\\epsilon_t - E[\\hat\\epsilon_t])^4 / \\hat\\sigma_t^4$" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# The n-th standardized moment\n", "# skewness is 3, kurtosis is 4\n", "def standardized_moment(x, mu, sigma, n):\n", " return ((x - mu) ** n) / (sigma ** n)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "GMM now has three steps.\n", "\n", "Start with $W$ as the identity matrix.\n", "\n", "1. Estimate $\\hat\\theta_1$ by using numerical optimization to minimize\n", "\n", "$$\\min_{\\theta \\in \\Theta} \\left(\\frac{1}{T} \\sum_{t=1}^T g(x_t, \\hat\\theta)\\right)' W \\left(\\frac{1}{T}\\sum_{t=1}^T g(x_t, \\hat\\theta)\\right)$$\n", "\n", "2. Recompute $W$ based on the covariances of the estimated $\\theta$. (Focus more on parameters with explanatory power)\n", "\n", "$$\\hat W_{i+1} = \\left(\\frac{1}{T}\\sum_{t=1}^T g(x_t, \\hat\\theta_i)g(x_t, \\hat\\theta_i)'\\right)^{-1}$$\n", "\n", "3. Repeat until $|\\hat\\theta_{i+1} - \\hat\\theta_i| < \\epsilon$ or we reach an iteration threshold.\n", "\n", "Initialize $W$ and $T$ and define the objective function we need to minimize." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def gmm_objective(X, W, theta):\n", " # Compute the residuals for X and theta\n", " initial_sigma = np.sqrt(np.mean(X ** 2))\n", " sigma = np.sqrt(compute_squared_sigmas(X, initial_sigma, theta))\n", " e = X / sigma\n", " \n", " # Compute the mean moments\n", " m1 = np.mean(e)\n", " m2 = np.mean(e ** 2) - 1\n", " m3 = np.mean(standardized_moment(e, np.mean(e), np.std(e), 3))\n", " m4 = np.mean(standardized_moment(e, np.mean(e), np.std(e), 4) - 3)\n", " \n", " G = np.matrix([m1, m2, m3, m4]).T\n", " \n", " return np.asscalar(G.T * W * G)\n", "\n", "def gmm_variance(X, theta):\n", " # Compute the residuals for X and theta \n", " initial_sigma = np.sqrt(np.mean(X ** 2))\n", " sigma = np.sqrt(compute_squared_sigmas(X, initial_sigma, theta))\n", " e = X / sigma\n", "\n", " # Compute the squared moments\n", " m1 = e ** 2\n", " m2 = (e ** 2 - 1) ** 2\n", " m3 = standardized_moment(e, np.mean(e), np.std(e), 3) ** 2\n", " m4 = (standardized_moment(e, np.mean(e), np.std(e), 4) - 3) ** 2\n", " \n", " # Compute the covariance matrix g * g'\n", " T = len(X)\n", " s = np.ndarray((4, 1))\n", " for t in range(T):\n", " G = np.matrix([m1[t], m2[t], m3[t], m4[t]]).T\n", " s = s + G * G.T\n", " \n", " return s / T" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we're ready to the do the iterated minimization step." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Iteration 0 theta: [ 0.898825 0.10283861 0.81129305]\n", "Iteration 1 theta: [ 0.89881434 0.1027472 0.81118925]\n", "Iteration 2 theta: [ 0.89881434 0.1027472 0.81118925]\n", "Iteration 3 theta: [ 0.89881434 0.1027472 0.81118925]\n", "Iteration 4 theta: [ 0.89881434 0.1027472 0.81118925]\n", "Iteration 5 theta: [ 0.89881434 0.1027472 0.81118925]\n", "Iteration 6 theta: [ 0.89881434 0.1027472 0.81118925]\n", "Iteration 7 theta: [ 0.89881434 0.1027472 0.81118925]\n", "Iteration 8 theta: [ 0.89881434 0.1027472 0.81118925]\n", "Iteration 9 theta: [ 0.89881434 0.1027472 0.81118925]\n", "Tails table\n", "[[ 1.58888889e-01 2.32222222e-02 1.22222222e-03 0.00000000e+00]\n", " [ 1.58655254e-01 2.27501319e-02 1.34989803e-03 3.16712418e-05]]\n", "\n", "Jarque-Bera probability normal: 0.547586182431\n" ] } ], "source": [ "# Initialize GMM parameters\n", "W = np.identity(4)\n", "gmm_iterations = 10\n", "\n", "# First guess\n", "theta_gmm_estimate = theta_mle\n", "\n", "# Perform iterated GMM\n", "for i in range(gmm_iterations):\n", " # Estimate new theta\n", " objective = partial(gmm_objective, X, W)\n", " result = scipy.optimize.minimize(objective, theta_gmm_estimate, constraints=cons)\n", " theta_gmm_estimate = result.x\n", " print 'Iteration ' + str(i) + ' theta: ' + str(theta_gmm_estimate)\n", " \n", " # Recompute W\n", " W = np.linalg.inv(gmm_variance(X, theta_gmm_estimate))\n", " \n", "\n", "check_theta_estimate(X, theta_gmm_estimate)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Predicting the Future: How to actually use what we've done\n", "Now that we've fitted a model to our observations, we'd like to be able to predict what the future volatility will look like. To do this, we can just simulate more values using our original GARCH dynamics and the estimated parameters.\n", "\n", "The first thing we'll do is compute an initial $\\sigma_t$. We'll compute our squared sigmas and take the last one." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "2.9977470389171796" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sigma_hats = np.sqrt(compute_squared_sigmas(X, np.sqrt(np.mean(X**2)), theta_mle))\n", "initial_sigma = sigma_hats[-1]\n", "initial_sigma" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we'll just sample values walking forward." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [], "source": [ "a0_estimate = theta_gmm_estimate[0]\n", "a1_estimate = theta_gmm_estimate[1]\n", "b1_estimate = theta_gmm_estimate[2]\n", "\n", "X_forecast, sigma_forecast = simulate_GARCH(100, a0_estimate, a1_estimate, b1_estimate, initial_sigma)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { 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HubS5mrQgPV1WHosUkQ+KVh7HaJqTMWXEZUI5hmfKFFn0+fVX149VFi9XapeR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\n/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ojWrVtF9YlsrmaFiNmzZ1vnn3++ZVmWNXfuXOuss85y/fxPP/2kfG/8eMu66irLamyU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\nzvX1sstgHzz5ZPAIz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3Il7rnevb0/u2ABrsFll6GylQpTptgtGX77LXZOSscIjxhhbdYM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BQq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\nQkhsoeAhhBBCCCGExJb/B8d4ofVMP3N9AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(range(-100, 0), X[-100:], 'b-')\n", "plt.plot(range(-100, 0), sigma_hats[-100:], 'r-')\n", "plt.plot(range(0, 100), X_forecast, 'b--')\n", "plt.plot(range(0, 100), sigma_forecast, 'r--')\n", "plt.xlabel('Time')\n", "plt.legend(['X', 'sigma']);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One should note that because we are moving foward using a random walk, this analysis is supposed to give us a sense of the magnitude of sigma and therefore the risk we could face. It is not supposed to accurately model future values of X. In practice you would probably want to use Monte Carlo sampling to generate thousands of future scenarios, and then look at the potential range of outputs. We'll try that now. Keep in mind that this is a fairly simplistic way of doing this analysis, and that better techniques, such as Bayesian cones, exist." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "data": { "image/png": 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XX4/LL7+8/Nm73vUuXHXVVfjwhz+MxzzmMbjpppvmMkhFURRF2QvsREWreZOmJjxvlrAm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\n1//O1/G/PuMVfOnNX3ZZ48ZhR58WP4tXbf2izYWOn1hjoG7QFXiRoZ7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60pNgvtewfyjw\n4pCDA5v/jcf22A8O7Dk9edKuxcPDtc+WUyj8ygvfSMOMm2++mfvvt5//KU+Bez/wN3Dnas9G8fRn\nPpnD/YyjI7jhZIm4116oZz/7a9g+GRF5PdW0xktC/DQcKBZOhOT669f2AW4yH8drgRAXn8mQ5IoO\njN785jfzS7/0SwAcHh5ydHTE6dOnr+RbXI3PINwCe+Yz7e9HC2s7Pib+lLC2soQf/mEIQ1593Ssf\n/rFgs4TXvtbuMt/93ZfLBv09i+MKbS4eiRfPVUjb3y2uqrR9dmI6tV+mv//7j837W5lWOfAiHJfm\nuGyv+wLse/jtj76OZ7/hCfzZ3X8xwEwsmXtFpu7NAG06LifseDVOHcpxaZVaQyvy3O6bvZYYIYfi\nyZG8wxC2NhSqagd4W9PYQifMgiFZahqoOt9i5rue6cV6gNk5RanjpGcHcXngdhgE4GeWKNS0Yn1+\n4pgkUJg8Z+98Q760fiUOZqPwIIxAG9pFPXB9BlNUs+YgfMUNX8p/uOVNfPWZ5w/n83GhVVn64p3n\n8bhgg7TLAFjW+3hNSaIL2lrTKY+KnEikyGaEF8aMt0O2d+y5a1qJER4YjfItwaCa1sN1bXoPLw5t\n8rgh6P2YogCvbwboWDOvUU2PGY0Jrz3F6MyYaDMmjD2M9MgLgSkLxqkaJMmdJxOsC1njB1QiRYwy\nhBQI3Vu5bukNUENniOiug4McucTYyZk7yWEnnHEMuWO9isKe8RjikV24DqLkCnO3Bj3PFgbXXANJ\n0F+27ptKW08ZzHAcbh27xzjxAGd+Olv6tHmHaGrqygz7ZLno8Uw/cHeE0TSlYl5HtghJxbA+At/Q\nNoaqWt8/Dlbqzo8Qq/NSC3ovQiuDbGuEsAl/01g41cEBLI9aCyurDWG4Nn6tZzXTA0XdefTqclhb\nUdjvxmHP19YLpxch89xjeVBjlKbNW/RsQbs7pZ5WmLygWNiLefyaOA5bbzzrbdWt7+vjnFp3P+7v\nW0S+U/ibzew1n0zWn39j4/Lz4EQXnMqhChLruSR6q5bmC6hKTJ4TyY7RVsBoKwCtrHln2+LrlkAq\n95EH3ytnIHvc5PS4sajv2+PxPUPsdWS+dXxt6vXamc/Xa9xB3qLI/rgCt+/hB572Sv7NP/51K8e/\n2k/qGsrucg+Nw91LdK0VGwg8zbLPyfwRv3PXG3nNX78WLVb3VbUySut7ZFVQlQ+WBz9ugnwlvXiu\naMHztV/7tXzoQx/ihS98IS972cv4qZ/6qYeFs12Nz204Do8reB6tcMHxwuVTciZ+/uftzvCKV3Cf\n9/gHPe8h45u/GV7wAnjHO+A1r1nPrv+exXGFNhePxIvHbbBRpK8WPI8irnJ4Pjtxxx325x3veGze\n3yYJYuDlZNna9d5xB9yXsedBHNhMpurqgfzrmjum69B5TpN3gzCB6yKm6Rp/7/DzsE5uXZf34x9f\n83s2N+397bxj0hQ2o5pYNAitLvtydsWPI21LtdoImxqVV/jYTveFC2shheO+NlrbYu24VLJSNpki\nyxCh5R0IYcnv3jhDJAl1MKZo/AclpEEW0hkP3fZI1Q3cIjepcMnFyeQMX3f987lx44sYjex5+Mrx\ni/mRx/8ur3rqf6Q9XLJhLJs4N1PwPYTRyLqEuubs+HoenzyDVofE43BIDF1xJgOfNhzRiggvDugb\nRTVvaSqN7vqBnA22+BBxbP1mVue2JqJqfQqdsnEy5OxZSEY+YRahk4wy71kuNZGuiEN9TO1sfV5H\no3WBIKRVG3PXzyVmxkA7K1F5NXScB78fvXakd+s0iuxachOeOF4rklU6YtnFzBZySFydCIEzY3WK\nfUkCIS2irfCaAvrertW+w1QV0tgEeLqseP3tv8pt+387TEGDYM1hUQo67VF3El235OdntIua1GuQ\nTYXX1UPiT2d5X622nj7l3MoEm65FlAX1rKI4rNFVQ73skEYNRc9xUr0tQgKK1ke3Cqm6oXHRtnB4\nYFjOFApb1DjPF9VpynlH3UpUmAxNAHduXHHp5L+NkCxUhp9FJKG9cSZBgewbGh1wYZ5QF4quF/RB\ngkzjgR/lzjusPYCmU/vbSWd73roREIb2PnSeVa5J4ERL5lXBv/yrW3jH/W8bmjFuEuZk5F3BbRBI\n3ZP4DWnQMYoV4w1brYxPp1bFTYR0jZUzFwJEU2O0QUo7ZRyKVLFWpIxje67c9XRNHYRA+tIeQL4k\nyA/JEr0Shlkpw21oMtu/GM61O891vRazcKn8YmHP14ue9WI++S13DPvdbHGAURZy2jaGebsg9Sf8\n8m3/lp/96x/HYEfdwrPHY4oC0ytEWw8NJmcs6/ZipzJ4peKKViNZlvG6173uSr7k1biC4SART36y\n/e8rOuG59174sz+Dn/s5O5v/0R+l+5MHP+9TxmtfC3/+5/ADPwA/8iN2FvvUp9pi6Fu/9dEd6GMU\nDzfhebhzXVV2UzlxouPSpehTP/BqXBZXC57PTiwW9vdjZYJrEwpxmSwwrAjexyYgTvI2lLbgWRTN\noFbmEiURScoCTFdjlAfeGmLjHNnbdq3o5aAhDsLi/EVc8uMSnY2N9RQJFRPHJaKtWSxs5uBezxmM\ntu2qsz2xSl/erCSJMoxYFxp1bRMJJ4WdRJrqoCCehGBC6BUdHrkRRIHGGDnIWVuPm4Cq2qKpoeth\nYyWf7O4TrYE4QRur1R0FHsbIYeJx4YI9hjBci0Q4A0mpY77hum/i7PYc4/lsZSn/8+O+hxuTmxnv\nRIQjSRg2yK7jDV/xm9xxB0yrgKpaKYmtOsmq09bEMvEwPsggoq97utagug5dtCybmLYN8KRBtdoW\nRasCo+tAC5/e9zHyAdMGEdL10MsY3Vd0RcPJUU+fjCmlN5DtnUiEm44435QkDDna9+jm0k5buhrT\nLfFbjy4MqSpvKLTd2jwuvezEEVxhbHktq858INFSXmZy6o6jqmxB7yTU0xTwfYyv6ZqOPu8oj2qE\nVmgBeB6jEXx47x5++v3fw8fLl/KLz/vvgfVnccfVdgLtpVRtQX5UMlsYRlFAOJF0QULqWbECSquM\nUaoIfEGlNG3ZshE1eKqjr33yvYZmHDLZlIwCwXiUUdVimAK6qGuYVTH0BbHfo41V3zIGhO7pNSjh\nM53a5505A5tpbycPOlwrs8m19LKsC0TnEUX2Xs9z2DuQK5U0n5YQ6bVEqU8fxejY4Gcd2amQS7ti\nUBt0EyrVabpODsdd1wbTdIyijigOkTJAYNBaoFqF11boXuB7KVEkhusqjObt5/6Yvz74U77lP/8p\n936XGd7HXQ+0opvV9MT0nSTb8Im3E9LNkNlBz/2HMZNNOTRiqq0IT2qQGgIPYTpU1eIH0bDWt7fX\nUvpuLR3vE4chdKrncLYgbAJMEIJsiESLaku8IEFrj0D0ZFT44QixqizOn7fn/vRpey2dCazn2XM4\niE+MNxnpNSdiXi8ZyZooiFYCCkvG/g7jYJO7lx9GazOoV3jUjCc9s0s1rRTEQUfoe3aN5j4migf/\nrSsZV8cv/4Di6MjeKI8EZvVQ8aAJz513wqteBW972+VSZL/2azAeD49/RKpu11wDb3kL/Oqvwoc/\nbH8++EH4nd+BN77x70XR81ATnkdyrp0nxM5Oxx13RAMs4mo8fFyVpf7sxGNd8JSlFSpYLNbdTNd1\nbVuLNdcaDmY1WgtCaZsEs7weklGXTG5sePRdgsxXmWWYDXCi+dyum81N+yfXPQ0Cq1SlZGChaKvk\n5jjsy603KaFTHiYImR+0KK/BhNFQcDmjxkD0dK1GhAHROESUCX0Z0FcaP5TE8RoqsljAKO6IVUPg\nw2jiEUiF31VUbURpPDb9ClSAMdGKlLxWm6vry71Q3JSpLCyvgM2IJNY0U7nuYK/w8s5E0yXfrjOt\nNTSLhuzxPsFkTKAFP/OVr6HDwvaiUYAYB5hKoQNFmCrS0E4zptNVUSI0saipSoMOJHUD47HAm2S0\nQtCX+UrOe/W8CxWhp9ieJIjAmmo6g9K+t93g5rBAdCHGhAMXUjV2EfSthrIh0JK6nlCW9hpnmW3+\nTSaWuzIarYoY32O841FryI8aRpsdwku57x5Dv1fxhCenBIEcYEpar8xB+474lC2mnWT0cmn3dNdt\nd9O2ODIYWtomJIrFIDN9HEKkFCQjycbJmDIPKRufatEyDmu8dIRuOkQYcNBbIaBr0xusoluq2d2X\nNA2XTV/CSFCRstSaYlYxX0Z4GymTTSvNbaqGplL4WkEsaPyMohb4urCd/yCgLRp03VEsJOFkxJgW\nXVWI3qPvo2H9bW/bNTRfCOIgYdl7QwHzM3/9YyxmLd9zw4/jhT5nzti15nlYyWYBnfGp67VZKYBR\ndiwnjLwM4lfX9tylKaSbEVUXWJlvDUYIehkh5Hq65x6LUsS6Qq7uH7Qm3ytpacnOBsjZEZ4JOTMO\nqExHv+wImx56D0oYjbKhSSLqmicFTwPgfzz7nXZfqGsaZY8pywQqbdCdhrJCyozJqcROX7oS3dqk\n3wvSobkzHoMnY1QEIPACBV2L6X3ixGNjA/q6xe96ss0Eg/VpchPs2QzuPrqHf/ofbuJbn/hCfvkr\nXos/TmE0Jgo7VN1BaMFdTd4SZyB6AwjqGpQyTC9W+CKi67xhPw0Cu7ZdbmKMNQkORMg16XVsBzdS\nVB5eJNDS59//09/g3HmP//cTr0EbzaLOicTY7kFRQjltWYiIQLeIrsEUlgO2OOwYnw7Qej1pvVJx\nhUXfrsbncxweWkKsg1n9XSc813OO8b96iWXk/9qv2W+0b/xGePWrbaHy7d8OrDsOj7j7/mVfZkUM\n3vMe+03y7nfbb6N/8S/gve99dAf7GMRDTXgeCaStqmyH9sSJDqXWROqr8anjgdKjVycaNvA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Xfk2mcnW0MfhQAtfeq6R9Y540yQKEPfp7S9vMrhuRqPPpwk9fa2/X32rO1UP2yi+M532t//+l/D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\nt8WgpL2aGy1O6DW7cVbsJvfU76NS2b9xqK5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822g2NemWz+sLjTIQHdlPAzhbLvGDwvvJ\nV8tMTARzSW3VI3bS0PHUrbDXYlsS9w2cn3kD6caJpqeY9tdqNGC+FGi21GJfE0I9F7Xar1ZhMBun\nz17NDA+aNX68fwFPjr4FN1albdWIOV3UsBo3TUs9DxpelY7VIOQ6JuHRZCocDhwrtWdZpRKgamo1\nX63KeotEYFW0m/CE76XYkUA75vezcqUwsxZiBrTQ8Qef8DxchMd1ZTP8fUx4FuPSthhK20IRHp2o\nS4nwKLXnaBIerWjCwhAe7SGwVBoe7Tzdi/AsBt2BpU94NJDWCtxSjyNZUkOgt3i4Lm3HAuFRa+Ej\nITwLXfe9CI/Sc45EaYPfTXgcR3ruLGYownO4hGepTAt6HdrgyOuud4iA3jKUDqX9qOVwmCTxzjJT\nCZ+fl+sajcr90J4q440tjLvXE4o2zcN/lXsGAA/O30PFmyfs5di5ExLNNQxZJ5lj2D6W575dk1zX\n/DTbQt+nWQuzyj2DgfAqnuZ8kDckrqZJkbCXETteu07KW0GsM4Lry6KuNKsmYKlUYJlzMiclziMT\nlSBzzx44K/cs3pa7Ho8WESfKluldbJvZQzTqk8tJ8JxKwZBzPC/wv8rKygtMAK6NSPX6Dg9LIt3p\nIjyZaNL0GLJt8OpdSlurbOyiVavYdIMHXNSNm6ArEoFIqswe95cUne0G7XE68lktKoyOBpXvVgt+\nVbmUv9qxge2tG7G9MG2/yfCwFA+jUUGRAK4ovIP52K0m2F0ek4d0JbLFzMNYLDCQULShl8KkyF4m\nI88D7Y8Uj8ucGLVP46TY+dClp6k7p5ogtNvyvhYVqq2q0UUB3BD+AL7VMpSueBx+XriUc38WYYv7\nnwbBGBoK9qBkUu6BJp1ROynvr8oC2LmvyvQ0/Gz2i3x34Az2cSv5PLhNqawWmrNMTwd0JXXEE2Qz\n6K2i55lIdOnNTfl8pV7qnhIOwz2NH/DF2dcwad1FJCLzyQtp8p0W3YS1j5vCHybupPnn9fdxdt8F\nhtI5NSUJu1KTZtO/ACBiJbDbwYMv1p03evy+L9di1aqAkrpzZ5cOVskwEFrFttL9pNPyXDvuuIAu\n1WgEaEC7DS2riOvHaDVcQQ7tAM1TN0R13Nu9OxD0T03Jz/FxOS5F+cbHJTZUKqNtw79MXcA/+ANU\n6m2TVKjIXkX0jQbsnCjwlfKLucb7AM1mYFddLAZ7le5Xs7Pwb3N/yTWdD3B97g3GbCGRgHhWAoGQ\nnzTGIUr5U4tvRU+3Vu7g8pm/5O7C9Qbh0aJyOAwtXxIevxmjXoe7Ju/k7tZ3mSjMMTuLSeJ0DcTj\ngn4W/TEm5otUq3Bq+095YexfxF4aiLryAMglEwaxi8XEoh7Ab8WMzk+ReJ2Xeg5qs65Fhl691apV\nYGXGuKt1BWd3/h9Pib+FRncfStlDpkXAUrZ5+YNPeBaL8BwYTIFsaPoA//rX4TOfkUl2UvB8XHSV\n+pEYx5rSthiEZ6kSHqX2rFnzuxSxQ43FUNoORGyU8nGosRiEB/ZvfLqQniQHjmOF8CiSsdRjIQiP\nBiwLTRoOXKMKkR8LhOdI91cRnoVS2hTh0UaU2l29dxyM0qYJT7MJt98ule7FJsuLpbQtVMOzdSu8\n+c37r6lehzZYHMIjFCPP9Muw7UAXYNvwN4M38fL5e5maknWgnP5sNmiqWS5D1ZMJlXSzhgZ1Tvy1\nXBz5KZn6yWIM4OWoViHixHj90NfMMdT9ArfWvm3+3dc6hUuit/J/Eq821+Tc5kc4N/wW0SeEk7wj\nvIe3rPgmibAs6qm5qkES8nm4sO+DfOsZv2Ll8pDpe1SpwHyxhUOIiBPjHx96FRfdvYb77vepVgOE\nzPcDqkipJNfX84KERVH0ahWayEXOxpMsWxYgH4naJs6svptc9WwTzEE3oLSDqlHUDffYVUPB3cIH\ndj6Vq0v/ahKsvqQsiLpXodGQ7+50JIicmutO6FYcvBBtv0k+j6E7KW0QoG2VTWFsmX0yG91n0B+R\nTW7PnqBAEItJ0NxqyZ+BgYB9Ua/L96rVrRoI7N4NudqZvGfVzzl38IVAECiq21Q0Kn//5v1f56IH\nB5gbucIc22si3yWTCplAt9MRZKTtt4g6MVMQUyvjTCZgBrgJWcRWW4LZsCVzolAVjc10VQKKjDtE\nKgXPjX6Yv4s0WOE+xgT52uxTnbUe27qEt6fvYE3kdNN89Zbm1/nbudUkrAHe1irwxMwrzDmpZsNu\nd2lqXbtk35d+NiB2zMuWgRuXOTMQWsMy90TsVso07NS+MRpo/7oiuh+XKBtWy2cPNM5iY+4kIpFA\ni6JU4NzyWZqZB6i0yvtZTy8Pn0CxkafYmWamOk29LnNVKWhaFGq34Unu23he7KPGPlzRjXhc9pjR\n0UAMPzsbtApotYKilSJCSo2tVoV6uW9f123MkwDfs2omGeptvKy6ms3TWwDI2WIyosYFSiODgN7o\neZCqS7PGaNg1GqHJSZjv9pHKxVOGOqkuftrPSK9JKiabcbHSMAmF2mFbFpzsv4pXVW5nlfcUIhG4\nx76M2457EbuK243pjhZ8QyH5zPUZoXvurW2m0wl6M+2e7aIsIbkeyUiCG6Pv48rQ6wR1siSgcjpx\no01S50H9o3RYvRaamKnmrNGQ/bqWvIf/6ryTmJXjrGVn48fluxMMGTOIpSzE/sH34Xm4CA/IQ+fB\nB+G1r4XLLpPF9s1vyo3V8WhEeJbSpe1obKl7EZ6lokz1Ijzq+nE0ttQLMS2AhSE8WnFcyEilgmBQ\nefSLGUuZ8Pj+/shBubwwpOpww/PgmmvgllukOabaJx8u4QFZU0fr0qYb7rFAeDTZXSqEp5fSpp97\nOIRn2TKZW5ro33OP7FGHMiw43DhWCM83vwmf/jQ85jFicQ5BgehoKG1KbdEeLCpMVlrGzp2BdXe5\nLMfcasFkZRLHmmVD4jiq1bAkPA6MZLO4XbrImuQmkvVNNBrwjlqNQrmJ78jcKXXk5jx34M08qfmX\nfCLyZADOa3+YtSujhEISEGhPlhNLl7AiE9C5tIp5V0locfsqu4xLkSY+liXPILWyrVbBtcL8rd3g\nxHU+/2/bKUTJkJ+3xeY2LPdLG2tqRTufl71k9epg7v/Xth/zk5nP8obMD3m8dQkjqbChkdTrMBTf\nwPnW3zHfdaAqlQLtQcMKFl+lIuiaBrklWwKcZCRmrnkqFcHGodaWAF73wUoF8l4VEhAPxXn17A5a\njRChtTLXLQs63c8D6aWjidoy9yTe2n8V2WxA81WBtz5PHCcIXqfmqxQrLslkmKmpYE5oItNsynpT\nlGtgQH5Xr8uxaNGh04EbCv9J069x5sjZnDk4TttvURmTTUuRpFIJ8tEiWBC10ua4QO5FoSDfu2ED\nhMbKUIVMNEV/HI6rn0M8ViKUz4qDGbJAWvkhLAv6UgnTAFUbj2p/J63+90UGOXnZoLjMdZ2wkn6T\n+dJuIukSy6Np0ik53/vn7uS2ie/yooEXko4loSQJT62rp/DDsuDDpLv/lp5GmWjSNLBdvlzOTalx\nmmB4re6DvR2lLykJT9zqo1MYoRyWPVENBeJxuGPqCj5nv4EXTH+LEzsvN0nHO9b/O/3rd/Cc749y\nbvT/ctGyT5HLCf1sbEzufX+/XIMzvJd2779PIulTLNqGytr7/NUkZ25OrqNaMTuO3P9elC+fl72k\nVpO9MWzLwzg7WMNtpMz6VGrZ/Lw8d7f5t0EUlnlnEonIayKRAFUaGBCa6d698n2jzpMA6IvlyGZl\nv5qYAD9ex/VjJMNdtLSlphByD4tFjKPfXFEedo22BKj6vJTeUNDn93Nd5+NMhVI8y/ob6p48VPqS\nSVotOTZFS044QT73uaMXMzD/XBLFTdQaQcGo4w/y7OTfUHK3QxVS0Tg7rWvYE7qJcvmr1LoITzYp\n9DktMGiBO5EInOvU5AQCAwzfl99HIjDvSdPReGuF6P+6hYC4P2SS+v81LVjE0IRn7Vp5iC5Ew2Pb\n+/MGBwflJl12GZx5plRY/+iP9n/f72vC8/uG8PQmPBBsDIcbR2taAEdOeA5nWXyw0Yvw9HakXuhY\nyoSn1zoVliYp/fzn4RnPgHe/G773PdmsXvQiWTeHG4tJeA5WlNAq7FKPI5lSLBbh6aW0wcHnlyI8\nSvVbvTpITBei3znUOJyG53CmBUe6rjpvtBkqPDyERyyJfaMbmJ0NAj9FChKJQN+h/am+X34H79p3\nEmVrH8kkVDqyGXvVrNF56DV1HGg2LBKRiKFjNGxJeIadEynlwzwnfyUval7J06PvIuaKM5YGfiqo\n1ge4BoW1GjQ9uWD5xiwzM7L3KYWqWAyExEqnUfpso2FRas8T8XKGPuS6QcBdq8GN4Q/xs6Fn0Unv\nMOej//+zycu4Jf8T9pR2QTOB5YVMoqDnqPQSzwsaENqhJh2rzrrw2fxp+GoiXh/j41L5brfBs2ST\nSMViZh9PJCxOSjyFUfcUdu+Wa6HOY01fJvRQLk40FCEaCZI324ZTvddwivUyQIweNAnRgpQ+e7XC\nrf/WnjmWJb//0O1/wYftCGO17WaOKM1MBdHFYrDPrlolhRelyChC5oXnubf8K46Ln0m/u5pqp8i3\np9/Ng+6/G52O0UF0tSS1VoOfZl/Ar+z30mgEdMpotPuHDKPW6fRHhonF4HGJF/Pa3BcJldaL1bYz\nheU7JJ2cCXLVFEHNE/r7VYtjmWRDk6xOp1sQ6ZOEwwuVTEKdzcK0cwc3hv+OO8buxmrJ4vPcMtGo\nfP655U/ykfQc69IbJTnsooIxJ0UkItc3nw/0O54ne108DllLHr5nOa8nHYtiYWNFSmauqltdodBF\nmrp6uFYpa2zGXRdG+7JsGjgRx3LZ1vmNiTGyWVnX6XRgDx2Pw3/VPsTFu132cIOZG6WS3N/ehuja\nk0nRIdsGLJ9flj7HNd77jP6nUoG7Stdwb/NKIhGfqCMJT5uase/WGEepWc0mzEZuBWC5fSadTmBl\nbVmyxgsFOQfVaSYQ7VWpM20KN9EoLPcfz4eiVV6z4kO02xijA51DuZz8SaWg3ZCHXcdqGKt+3Yv0\nut8T+iJ3dL4h16wl93N0MGGSC9cN9EH1OqwMn8KZuaczlEkZzVS9Dsuia3nF8Ed4y/J/49LldU7O\nPp6E3Y9vddg3W6TekYAqYsfM/bly+lN8fuq1eE6NNWskgRwelmeOoqC9Rgxa5JhtSsLTH14h19er\n4xIl2hFK25HYO4sdf/AJz/R0AOdlswtDeJRbr0PRoUsukYr1unW/+77fd1vqI1XHHy7Cs1TVd610\nLybh6e0IfCwobYtJeFKpQEz4343wKJ1Nx1IkPJs3y89PfUooJVNTcMUVQfB8qJHJBFafRxoHurTB\n0hpj9I4jUdqOBuHRfh76uYdCeJSyuXZtwIt/OAmP7oGLNS04EsKjx3vNNUE17lAIz0Jc2jSZ0YBf\n7WLVdlhF2YWCBBvaNd215IDT/XVGR6X5p+2HsDtRKpUAXdN7qcL9dLqrLemKr8PtPklcCn2sbjzX\nUOR275bnhwpwVWeQyQQ9Llot6OsI17mvdrZpXKhaDG0U6LryOao/0gaElU4eD49vj6xlT+QqOZ7u\n3E4k4CH3Cva6v2I0M7hfA7/5eVgXFse3WyduolzGBLe5XKBxsW35fg2WymWodC1/s85yTow+DdsO\nEA3XxQQ4iXDMUF9rNfjgcVfzysylRgSuSRwhdbSLm35TmUzg4Haq/xqe2fdGAGodsfB1XbmfSjnT\n75+bC4pn5bJc32i0SwXtBnXJcJJ8Xu6HXlsV7Su1ybIk4VERtCJulQpcO3UlHdqclXyh6FmaJX5T\n+Abb6jcbHYVW+xvIQok1V7Ld/gm77GuMra9+X6kET8y8gjfYt7PafzLFYiD6r1a7zwBnmpg3SC5r\nk0oF+ggtgMXjAfXq295buazyCvr7u4YD5cBS22qlutexZBJYywqMIcJWjFS4+5p2mf5+iWf6cy5R\nclTLrtiOd5u4hrzkfmiaUr+0CByNQtyVg7TsNq5r8YWTt/Le436I63YF9PMyPzQpUTOMuJ01Dopa\nwCjMRjg++nj2Nu+h6s+Zc9aeN6FQYEsfD0fw8ai0i8aV0POCBFCP0fOCY9B+L62mxXX1z3F7/B/o\nOGXDCrgh/g5+nnsJzaaF1ZH9o9yom947Sp1ThznPgyn3VkLEWBE5wTQfLRTkGO+Lf5ZL9oxw9dZf\n4Dhy7MNp4V7WnRlj0z00JHvG0BDEYoKoKnVXE2d1V7MsqCLaDM+u02phXAmHh4P9MWZlqZOXRM2X\njdZvJM161XWkGjbXlXsUDgf7s+psBB21aFYj4DlEvC4lITbLX5/2Mb6+ocJA+3TGx+Uz7i3/kjv9\ny+gfrtFqBfukbWN6cGlhT934ajXYV5aEJ40kPK9e93Y+PVJlY/Rc5ueDRsVLNf4gKG2+L1SKc86B\nP/uz/f9vZibg+mp32sMNTXh6x/veJ3S2jRsP/h549NpSa7fhQ42FIDxqN7oYhEf96fX1S4nwqAsJ\nyAZxqO7xOtQHH44ceB0M4dFGX/ZBygPl8sGbPx5q6Odq467FIjwaQC5FwqOoQX+/BINLkfDocf3x\nHwcUqoUMXT+lUpBEHGocDOFRt5qlHgultC0G4VEqDcj9PxylDfa3pr75Zvn9pk0L+74Dx+jowvvw\nLDTh0eOfnoZ77xV90cNFeGIx3/Dge5tQqgmANvRU+1jLgnopCjFo+w3py9P8Kp41SzhsGdcopY2o\n5fXKlQEt9szkCxg9bh19jdPZ3g28tYmp9rTI5WCuNcYO637cxEkkk8vwfVk/IyPdDuqzo+CA69hG\nB6DuU4VCUMXWBn6zs7DFv4qdjdtp+lUSXpR590GmivOMjwfB2+bU55iy7uF4nk02LhdUm2bOzcHo\niPQZ2ta8kVN4haFrqR304KA8n6amArvpqSkId/r4cLyME25TLga6DUMrbEvw7DVipvv54GAQxOu6\nq1a7iJs9QB/rmJ+KG1MBdTLTPjVOeQXnxF5HX+N06kgiMj0t12NgIEiq1Kq30RCNTqkk7oNr1kDd\nl8mUiiTxmkGxRLUjGmwVi7IvacNT1w1c/1otuLfxEwDOSPyR9ExKSNbvhYrGUMHoKtplcKFVGCDr\nbWDKvhfwGRmx2LpV7tWqVfJMqlRkblUqAe1S6VdrwydSyDsmoFbUcXBQ5oc6g9k27A1fT7k9apBA\nRa0cB9xuVaTjlAjbQfXec7pJpxMnUlnFCe1XkOucQCoVzCelTMVisMJ9DE/m/ZzUfzrzewIUpl4P\ngm+lE0adOLQEycvnYUViLZPloPCgugsNVGu+BEW5WBavq1NRx7O5OVhrn8d9/IoHK9eTjTyPZlPW\nnJpFaNPX/mQayuCFi4S6QbM25xwa6pppOAHiqnNt9WrYm7mCeDmDZzWZSV1DKvUCbFu0TGFf7nfU\nyhAjR9tvmURG3QlVnzYzA2tTF5DJFbFx8Qn6ynQ64Fktyv4kxWbBFAxWDif48qodRL1BproW9Woe\nocihznfXlb1B+9Vooed6/+OAxSrrHNNwVQsu6qgYn8xQ7IwxMSGFBBBXSaXV6h4UDsszQHsVhUKy\nXsrtPLfY32C4vp4zqs9hZkbmYzIJMSTh8SJz4K/DaseploPjwAuBAzPzTfxqgCorxbRUkrmh9z0S\nkTUy0ZCEJ9ER/qT0ILKMo1yx+L+Utt8Zd94JX/0qXHrp/r/3fdlENSDN5RaO8PSOSOTwyQ4EicWj\nLeE5HLoDC0t4NLFZDMJzMFtqtT882qENGNWqF+T8KpXDIwNKl4CjQ3ggoMUd7PWLRXggMNNYLMIT\nCklAsJQIz6nSEmFJ4OPx8aBZ5GLGYkw/DkVpO5YankPdY9WXLAbh6dX+JRJBVVtHL6UNgoTn7rvF\nIfLMM4++6jU6Gmg6esfDMS3oXUtKazsw4VmMS5vsK5Y0QkwE16jVgmiiRSc2TjhZIRrFNDp0XfBb\nkqFVGnU6HRiyN7HWfYIJ+nVokKFCWjUDiNt9xGMO9cgeg9qo6L8c3saUcxueXeeB9k+4su/pTKeu\nMbSZYr1MLbSXWLpGzJLJ7IcLhkrmuVXubf6IB2fvp1SSZ5Ly39tteCD3MX7uv4uMPULSkos2X6kw\nOxvQIL9VfAMAG8Pnm2qw0tR8HzLV03EIM+HcxMxMYKs7MRHQgtRCVu9ruQzVqoXXSOBVM1Srcp2V\nKlcqQauYY737JDLWKqamggBJ93Pt96L27U9tfJL3pLcxmMoahzVF5NR5q99ZyyviX2Vl6ULm5+Xz\ntOqrlub6d+0lo5VnRc0aXhl8i2wiZoJGbb6qzx/LgjlrC7c1v0Ujuts4aCkFLRSCiJ9h2NnEsLNR\nEuyOLIJ8rUirBVvq13Oj/6+Ewj7PrXyXT/TX6FQzJKsn0bRKTNT3GG2TIk06j8vdRGBoSObSyIjM\ntfdv+j4XJ79raD9C0/MpVZumx1AoBGPTNRp2gZyznE5H3qtOV74PYV8eKOWWUNqi0S6q0aUVRqw4\nQ/YJPKf2TTb6f2QSBL2OOj+ytdN5Rvh99HM8Hy2fzHcaF5PPB7qdXC5wWutvPpaNjVdRncsaxGnP\nHrl/Oie14W+9DrsmZXPsi2cZHg7stJWit6IjGpfb535j6J9qp67Xs93GJCZeqGCQLA2qtRCi9uzR\naFfsn4KBAZ8vzb+cra1rAZjpu5Lh4a47n13E7YjT4oszH+OvvTlGrJNx3aApLQRJSDgMz4n+Ha8e\n+CSlUoDeGmptWDa6fEWcEHM5cZ/bNLKGZjlBLCZ7sFK61G1OdVr1epBchkJBsdmzG0StDE8YvMDQ\nt2XtBlTQmJ2lRRUn1GK9+yTWNy5kZDDMsmXyGr1GmkxUKvJdamtfbZf5KZdwR+dyZmaCvkGOA+G2\ncLAb9pxxotMk3bLARYLCmfkgWWy19i9UqdNdLBbQAM+IvZj/w18Rc5L8/b1/zgc3X2iQV+3tdbR9\n4A42/iASnp/+VH5u2bJ/UK20g16ER+H3Qw2taCx2KHf20ZTwFApHTngWSk/rfe1CEZ5eShssjK50\nuDE1JfdH6WwQnN/hgvWDITwLTXgO13xUF+NiNTwQUH4Wi/CAPDSXMuE5RVoiLBnCMzi4eO/8xSQ8\nB5oW6N//O0wLdN0vBOFRqoXqd3o/t3d+HUhp0wT/iitkfzsaOpsO1fEciPJov5vevW+hGp5ehOqa\na+Snzm8tNi0G4YGA610qBUHe/DzM+A/xodooN6XezrJlAXqcz4PXlAMu1erGjag3gNJrfHn1lfww\n9HISyY7pll6rwZZ907zjnmfx45l/Nc3ytJp6nfVhfrb2TIrsI9IVN29Pf43N5VsoFOBBvs9fbFvJ\nj/d8g3RYJrOTzJs+N15iL1+uPZ/vjX+C6Wn5zExG1nL/YIe+utzUPx/+KufF3gyA51S6Ft1y7GeH\nLgLg3P4LGR6WgCAUCqhS1VKEYe905qN30vRqJmmYmwtQ6l+2/oHtfZ83fH6lDRYKgValVzdTqcCK\n5vn8Ve7XPDb+AlNxrVZl/1O0RJtgqtFGLhdoq3or0no/czmMVkSRunYbZmszXD15OVsbN4l1bzwI\n0lTQX6mIvqjmlQmTJBKxWLYsSxN5zQAAIABJREFUoM21WoFddF8fbLeu4tPjr2Rn67eGpqX2x9Uq\nPM/6HO/OPMDsjMP27VCZk4dKqVlk50747sQ/8e/5t1J3J0gmLPozUUKuRaomja72Nu4zNuG9zSi1\nUaX2BtJiajodBH7alLPV7vC+ZoIPTj2Wt289k7Hmg/J8Ce0DIOes4CO7nsM7HniKqZrbNmzoO5Ev\nnLSNJ8cv4QOtFJ+eeLnQ9bo2xbRjBmHTe67OWorQjY8HjIxoKMK0dR95e6tJXDSgVrfBE/wX8/TS\nN0g1NjE2Bp++/z1cXnmtEfhns/InHu/SlItDZDvH05/ImrWsCa6PR9paRsIbxbFck0AZJ7N52FPY\nx6W738Ctc1JNmS4WTQFV6VPbtwcOfWpIoUUOP1LEo8MG+9lEO4NstX+MjyfnZBWJWun9tEOapKoO\nqLd1gN7PVCowxlDUpNnEIK+z5bIxJ/l58VN89L43Mj5TpdEIqMXRaNCfSFEqkHubych3RCJyDRt+\nkbidYWQksCLXhNp14Rszl7C7dWt33ynwwr6/5cLOfxi9o+5xqrHShEQpg41GkNQ0nVmjC9Smq+vb\nL+Bxu/6dEesU4zSnRaNoFMKOBIfjk02KRTkn7ROmyWJvAaBUku985tBFvDjzcRwHtpXu4Y7KjyiU\nJODMZoOEdqnGH1TCUy7v3y9Hq+ia8CykSeDBEJ6FjsUIrx+JsdQITy9ic6T3HIjwHOn1CxkHGhbA\nwnrxLAbhqVS6eoDuA/9wCc+Rqv8HG/rao0V4QIIkrXg+nLFjh2zmaq++VAmP6owWM5YC4fnvsKUG\n2VcWUujQ7um9CM/B5tehKG26zx2NQ5uOQzm1Haw4shgNj+MICv7rX8t+MTkp59nr3KOvPdKQSnXb\nJC2OE+hR0n1yMPFw1DSum54WqkmkPUy/v4mIGyaXC5CHTid40Hoe7GjdzIPej/mbusu9jZ8YJGAg\nvAKA3+S/xWfc9ZRKcP/OaT614/Xsa98t18ROEHHkpo3HrmGqvUXEuLZsBnY7wSnJp3JR7V6elLzI\nUB4byMSO2RnTbFhpV/tCv+TBgb8HYEv9RlJR+fx6p2qSrmgULoxeytdOmmR1Zg3pdEDHm50NqsUX\nJD5EsrWWby9bZ/qoKPsgFILvz36EG1ufM1Vktf72PIinWoQz8/+fu/eOs+Os7v/fM3Pv3F62S1r1\nalnua9MMBoyNg8FgSoxNDRAgMQlxQkL5JoANJBBIghNaIHSwsRNMDcHBNoRiG7BXcpHVV9JK2tX2\nvb1M/f1x7jOzWu9KK2ltw+95vfTa1d1778w89Zzz+ZzPIZZq0t4eOiVK+lY5jpZ1bP2bVErGWtdl\nDq1e3aoH5MJnin/A+xo6wyNOgB4pY1UFH1UxSk2DIof4QeT1POLfEghMKP6/oqQpJ1bXdOLkWzLm\ncq9qvqiipfk8JKMy+aarVarVsK+Gh2VeKIGDchm+UrmGmyY3ofkR6l4J14WNmfNkDNu2sWSJ7G89\nPdDuiMNzuLE9UKprNsWBUNLIqpjkwNhRvn/kPzjkPBDcp66HggAx0yBCnBKHOWj1876hzVQZo6IL\n5Sfh9HLU2cGEu5/OzvA5cWLUhtYyOdiNRYW6K6jU8uZlXOLeyKr8qsDhUXTESgWalh8gIxCqkBWm\ndUzSuEaZzs6wr9W+nEhAMuVixvwAodlh3cmAeQft7WHfq/wLgL6xf+M1k3tY3pMgnw/RAceBT+36\nGz5eO5Orat/hUu+jwedU7lW1CvvGjvCL+r8zxmOyLrwKS5dKMEXl8SgjXtPC3Jt0ukU5TkjyXszp\nYrV9JTXjKI9NbiOWsHG0OhkzSyYTBk6UuIiSm1YOn/qnnB7TDPcYJTKSjslcKzeqTE/Lc/5q/L/5\n/vDnsJpauFfFoNyoUazWKZX8YyjzjUYoCa/QkiYlkkY2UDBUKKeiXI5Ye2lQ5IXeJ/GteCAgMjAg\n35HNyppUwQjl9P5y/Hu87t7z2OPdSVRLECXBTvsn/NK+mVrdC/JwOr0tLJt+NWmWBoV9VX6dZYGh\nyUY/XbKYnpbnUwIkqmC0QtNVYdKZzKFIBLrYgovNUWtvMO8U0rNY7ffe4ZmehvvuC/+/d2/4u1Jo\nU1HGhSQYn47D87uE8KjI0WI4PPMhPCcjWgCnH4GfWYNHtYXU4pmJ8JzI8KpUjjVu1e9z5fycTNHR\n2fd7uggPhLShU23794vRpBCH03V4ajU5KJ4Kh+epQnggXPcnikTNVmib+b0z59fMOjwQOjzquU8H\n4ZmvFs9cwZGTyeFJpeCyy+T33/5W5qais0GYu7CQOSbJ35EgV0QZFwCRmNyMXYszOiqHoUIINhb/\nlHfFdrIh/qzAuVS5K+3t8jy1mqgmKVWqpJENDOlmPYQly/ohoRXFXH7tfIGqLh6iXU0R08JF25PP\n0tEBVqsoZJQU3bkcG/JbOGNNLlRFM2Vit8VzARVF01TdmrCD99bvZ8US+X7LrwbJ2aYJTtPEKXYz\nPi5GWTzeUpuzQqrYc5dfjq77aGiBU6NEAO4auZWIZgYFLJWxbdtQqVu85/AmPlhrZyj5I5YuFVli\nRUdTykpK9KBSgYHibu4fu4tUrhkEFYFAkc22wXM10HyqdTtAhe7xbuTnpS+zZElIi+nubqGl3npA\naGgqGbtWk7Wj6DOqGv372vv55MpDAUqlEryj0ZCKlUqFNYPGClUGB0PVNqV4phLSAab9QaqMctHw\nV9hw5EOSoxKVCr9H3G1BxL/ZhLbi83jl9H08N/UnAfKlxBJGtK1MRh8K8ieGavu4w3obj7nfJxol\niIJPTYXUn4TfhYtsYqu4hEYhz1hdEJ4svTR9QbRU1DuQyi6EdX5UXaSljRfw0twHWZnvDZxalSdS\nq8GXurPcGn1BQA1T9CFFk7O0Em1t8jmFYtRqcr07mn/KzWmTKfYGqnwRX4qOqoi+oomq9RmNEhSo\nVf0+NAQdSK7AmLczMIgnJ+VschzZQxxdNsTNkRdxU6TJZcZNgQS6CoYoA17lRpZKodM7WReHx3Tb\nudC5gdfY97Aidja2b3Fx7hrOyT43oEEqKXA1nywrdPyVOIUSYVLv7+6Wf74PXVkxBqarFcbHW/ln\nXg0NjVQsTiQi91Yqwf967+H9zSTbhh8J9gQlfa0EO4aHoVD0aVAiaeSCcVQoYrkstkS9lWd3buOd\nxLR0kHNWKEhASJ0vqhYRtBwqx2Gw8TDF6C6pdabL4dRv/gt3rj6fmyNLAkqxadJC1f1AEVDRgp+T\nfQNX2l8h4S5hclLuSRUOVYGASET6Uu1ZisqnCrbmXUlMHdW3yXiZHOOUL0b7vXd47rpLBlYZwfv2\nhX+bD+E5Hv3kVCltEFb5fiIizSfblNG0UIfneMbifAjPQmWpFyp9faK2GAiP2nCPh/DMdGCOh/Cc\nbNFReDyl7VQQHmVIno7D02zKgbNmTXhPp5vDo2h2ijZ1Mu1kHR5l5Kj2VMlSg+wrqgL98drsGjwQ\nzq+ZDo9CTJRDpxTAgMAQPdU2H8KjEolntpPJ4UmnxeEBuPNOedbZeVyKjnSiJvV29ICypQwLALcl\nkRzV45imJIirXBillFUqhcUEfT9MzFbR54TfBZp4p5lo/piigQayWXk4ZPM2bfFWsm6rdkxXPglO\n6PBkzCyuC3VbNogoKSy/ymcaF/PVkRsCw2m0NbEjbi6Q0lWyu0asVeeGbgaav2a12cdrJwY4t/rX\nxxShVLQoVVND1eRRfH9Fl3IjFWJamiNHxGiq1eBgdQefPvpayu4kTb8S5AAopbemV2MaUTFxtFqQ\nVB2LcQztLx6X+ZfPww8KH+HL9gup6yPBPC4UZB9Q9VAcS/qzULGEAhf1uT/6IX5V/UpQp0NdK5+H\nXDxLim6mkMhlJhPW4lAOrMpBUDVKlNS3os3MzC9IJqEjI4un0qwK9dELaUiuG85z04SaNkrC62FD\n7XWs8S8TQx1xeMb0h3CcMAcuZ7azUn8mCSMTIEWpFPyztYn/7r6YH/U8G8OQNdeekQ6ykWK0R49K\nPymDdGoK4l4nLrKJvcb4Nlbd5ML8lbzN+AYbvJfiaFVipIOxVntEKgVmVCfiJ2j61QDxUCwAdXbp\nulzrwCELR5f8JyWaoIxLAJMMFmVKpdDhVMqStg0Nv4ynOWhOSgxa/QgNfZKR6lCAgnR0zEChCNW/\nlGS0yl1bmZCinEVzR5CTo+inCt2cqsjBZHp5amUzQMdUkEkV4cznw71ToT+xGNR9iTSl9Q5S5fPo\nqlyKgYnupHjPutv54w0fCJAPdbaowruFQlg/S9PCwI1ChVXAQO05a6LP5MbMEC9MvgfDaKlrNqvE\n9CS2rVEuy9ytVKDcEAOiOJ6hWAzXuVKVVcILpWqTHs6mg41BflelIvNnelqCJpVmHQMT29JpNEKh\nByVqEqzzZijCARBt0dhKVkEoo7rsd3G3C1evYuhGkCOtCp7+6baL+LjfQzot/RyLwRmpZ3E+f4RV\naqNel7NEBZmqVbkXRa1LJELHcSZiFnUEkfiu9rrAkV227NQBiLnaojs8H/3oR7n22mu57rrrePTR\nRxf76x/XFM3jHe+QnzMdnpNFeJQk4ukgPPC7QWtbiCQ1PDEIj1pcyiBdiIO0kHYqDo9KmlNOrK63\nFEl+RxCeU3F45sr7ONk2OCh9s3btyedXzNeUw/NkIDxzCYuo6OpitoU4tQuVpj4ewjOb0qYUmaBV\nMHO1/P60px0rmX+yba5aPEpO93QRnuc9T9bXbbfJ6zMRHji2BtXxmhj0ctCOj4uBqyLGniE349vx\nIHKsZKxTKRmLTAYKsUe4ve18HtQ+FyRJ53Ly/LlIKKuoNdoCpbFvRf6ALdorWWlI0aiaV6RSNImR\nwaGJ4ccxdAOqXWT8lqpQMSdF91KyQbj1FImYyRHtPg5b2wNaRkBpM7JBjZNoVIwsveXwnJ14EW9e\n/k/gRjmrdy1nrssFleWV5LMyHBXNS6khqZod6TTYWoWEngmi9gC74l8BoNNYjUU1+Gx3NzwQ+0du\nWbI8HIBoLTC6li0L64Mo1EbdR1yXjcNIVAPju16Hh4Z2Mm4dlgT1qGz+lmOJcapboPmYWoJfV25n\nX+LWINdKqU11ahsocJBo3ArkgTs7Zd9fu1bu2bLCWi/KGZ7p1KrzwDTB1FLBfSYSYg/k8yGyoZCL\nSMSnpovDA6G6XNJZTkprZ8jdhhG1yWRaMsktpTclqpBMyn1mYmlcrUnETwWoFI7cQ9OvMaXtZU/j\nl4xMlQOHdHoa4p444qafpVkROWGt0cYKLiLu9uDqDaKkAmRPIVoq3y1KioZbDXKrVD5WJgMHk99m\nu/9teV5HHIh0VBa848Bv7C/yP/UbMaIOqUgGSxMRBFWLRhm9iURYiwgrI/LSug2ah2OUgno16XTo\nNCgapCpOqeYTwJaezQCUYjtE4TARFgtVa7vuy2DGtGxApVKCGyrwpYxxhXSqXLJ4HMYPt7PJuYZU\n5dxj5svMcevqgmjMwY9Po5k1ytG9FDhIvS7vMQwYbDzCr1LvYtLcGkidKxW1RqOFnpXidMWXkYgm\ngrO97tRoeFVubOR4rPG/gYNmadKPUT8dOAAzBZ7UfmzX47yVB8k1zuFHB74d0MWUEICuQ9OVIqbK\n6VaBIHVfpVKoMqcQ1RUrIKXL4VWnQKMBF8SvASBJF65RxSQZXKNSaSGSWhVN84/J0dO0kLamUG1V\n8FWpRaqAoCqAqvLClGO60X41vf4zuC5yG11doRCEsjcXoy2qw/PAAw8wODjIbbfdxkc+8hH+/u//\nfjG//nHN8ySa2N0N18g4zUlpWyjCo5RPTieHB343aG1zyczO1RaSX3OyCI/aUBYb4ZmL0nYih2eu\nmi3HM7xmq64tBOF5skULgo30BIjC8ZoSLJiJ8Jyuw6NoUqeD8Cxk7Sglm5lNzcnFRnkWQmlbaPFR\nhfAshNKmHGPVFK3tdOhsMDelTY377L3iZEQLlLNx4YXCG4dTd3iEWuMHCfkqidf3oV7TyOo9RJwc\n1WpoiCnjQxmhR8ujFOIPYRmTQWSz2aom3h4LHZ44bVLTpeEwwP9S9I6yIiayhQNDBTGItHZAo9d7\nBtks5J0zWOkInJUyBOGJkiTtL4VmBt+JohPB9uuMj8t4pvwlbDFfxJrc2oDWMjUl92R54sRdkL+c\nF3W/DacZQ9dlrFQEVUlFK+UolaDteSFdRNdhbNyj6VdIGOmw4GjU5mD+6yTpIKcvxaaC4/qkUi0U\nLlbE0cIJ6Or1gBKdyUAtuZPh6M+JpWt0dYXSx0vaZfL60Wqg5OU48AX6+Pu9rxTE2JGF6fi20JN8\neVbDj/O9ynu4N/4+4vHQCGpvh3Y24OPRiB8Mor9dXWKgxeNhFFwZ9uWyrC1Fa61UQvnbQgESdi8X\nJV5Nu7slSLKu11s1ZuoeB6wHmfYHqTglXK1Byl9CW1vY97qucYn5V5zlvp7rR0w+tOsaOjoksKMM\ne9cNc0d6zLWg+RheIlDQc2qy0U+Wqnz/8Bf5xOQljPjbA7TKdSFFJ7of5e3+NqxqIpBbbzY1psoy\nPjEtTbEo96+QBstqoXFaCsuvBfcxk+L1P94N/Kjx3takDx0IhVjsSXydh7IfImLo/FnP7fxlbHtA\nR1MUvslJWeeqQG8tsUuQIU286iaVgKKkjGzDkPN69WrpByWJrdgEuWgHOaOH6cgOli8Pc8p0XfaP\neBzslmOQimQCxFOteyV2oWipSoJcFT0dH4fYxEW8uHY7q5ovCfJtVM0nlR+STMJ9U9/j5lg726Nf\n4k7nfXyrcwNatB7Is/dP/YxfOv/CodquIF9NqQ8qpHVsTH6fGfxuuDJ2ll7CNscDxomjy2Zokg5o\ndGo81TmoDH7Hhju5gbsLn2N8PEQvFUXM9uuSgxOFUtXiR4e/yYB1P5OTUuNLOa6aJuto3boWHVBr\nOTxegWYTNtuvbY1LF65ew9RSQWqEclA8vY6pJYI8IkVRgzDfSQVHlBqfQsJU0eVkEhqZHXx74ib2\n1R4UZchohvcvvZ+Xb3w1mYyMr3IsF6stqsNz//33c1mL17Bu3TpKpRLVhXAYTrE99JBM7he9SHT8\n4/G5KW0LRXjmyg04mXayRQifyDaXzOxcTXngJyNLfSIHZrbDs5gITzZ7bJ2WE+XwKKdgJpIyn+Gl\nDKMn0uFZDIRHfeZ0RAtUDZ61a8N7eioRnpNBR+dDeGDx83gWQmlb6Lo/HqVtLoRnZlPFj5/xjONf\n40RtLoRHAfGzHZSFIDxKjlfd7wteEP5tNqXteMjqzKaM+VwOotkp7m9+kW9NvJtUrsE5iSv5l2Uj\nbK69jelpcdyazTB5Xjk+o0UZjHQkH1CAFA3lOek309Y4H92PBQc3CfFW03oHWVMG1I0WpMaG1gH4\nXNv8WaBKtsV9LZfU/4mY000iAVdl38/He4bZkDu75QAlqDu1gFa03r+Sd+T/h0tWXRLkxtTrsg9M\nFx10IqTMRFCcc2wsnC/5fJigrOuyRpS4iqLctLXJ3jg2LRMpGUmTSPgiAdv5I5qRMZ6eeB1PM/+Y\nC0o3YdleIOZgG8dGi1y9Fuzt1SrcU/8X/nHseQyVDwfqWo0GmKRa768GBSVrdQ9Hq6M5Samp4cgh\nULcsMczbQoTOJI2lVYLvVOIIZ8dfxHNjN1AtxoLkbaV2ByF9USEcliVn/W8GdnLE+Hmgilatyj6X\nam7gbzfdxrnGNYHiljJ4a3aNb6Uv4nv29cTahSOc9HpIJGQfi8flWV8Q/VvWlt8IgO4maDZl31Rn\nnKJU3c37uL/4bUDokUHdIU/lZdUo2LL5x+zu4LltG670P8u/dTXZ1L02cKSUoILupnlzdRdvX/mv\nQUFPZfR/gyv4grmZG8xH+VjvXjo7Q4NTIYJRP03Dr0htnRZikjKyLF0q9+3oFaJ+CtvSybrr6I6u\nDXKgFEqg1rRyePZERAVsbfNqQJAjpfo2PNwqlptrwrJ+IvmRAIFJJI6lya2NPY2E38Xexn30N28P\nENlMRub70uZzucz6FM9YdUGgUqZoUW1tMk4zc4aU8ECtFha/VOwdhYwpZ7JUEpuxXgffTrTGqE6X\nvhFPc9iqfSEQmlEqaKuiFx7j6CjkKhqVa89EpH0fLvU+zoXJV8reZkwEe1zDq6D5Ou3ZRKC8p5zn\nSiVc/7EYdHdG0HydmtVkdDR0CpVgx2v8H/F6/y4RmLCm+Iddr+cB45OBEqHKrwL5XD7fYuHYEq2z\n9ILknpXEaM4ZXdhUSbTq+KRS8MDyP+KO6g003Bqmlgxoakp9sb1d/qn1qWlhCQDVFBKUSMBRtnH7\n6I3sq/UHDm53d2vfj4bpITNLNpxuW1SHZ2JigvYZp3lbWxsTCmZ5Apqis73oRTKI69YdK019sgiP\nOthPJ4cHfr8obXDiwqAnK0ut3j9btOB0EB5Vg2cmnQ1OjPDMNabz5RLMFc0/HqXtdFTaTgfhUc+y\nGAjPYlLaFGrwVFDankqEZ6HFRxcqWjCXw/Oud8HnPw/Pf/6J7/l4LR6XfXCmw/PVr8pPhZKrtpAc\nHsXLV8+h8nhgboRH1RA5XlMV0m0bflb/N75VfSt31z/B4PSRoIAkhMpSqsZMLF3jcH0ne4ZHqdji\n8OTjeTQtTFKvVKA7soGrR7fyxiNVDEND12Gy2uL5G+28LHcjn11RYkO6j6VL4VVd7+cl/hfp6PAD\nA3FT9HLOKr8Lp54KaF5KCnlqCmy/yYS/O6DDqMi36itl0CST0Oddz7922Dyn8+U0GvJ6ICbQkuZW\nPPhoVOU4ybNrmswnxY833DQ3de9gwhnkltH3omnwiC50tiu638wl6TdzUf3v8F0jyHFyZzg8uh+j\nXtOYmAjr3tRt2Wg0NxHU/YjHAUsmabEm6mflMkyXZbLobpJoFJ5f+iKv2++wKrdaBBAM+a64kSBh\npGn6lUANq1SS57wgdg1v6P4kaXdVYBSrYtOK2qdHHGpekemiI6pazRL/XHgWtzp/SN0YCRKtlXzu\nTKdKBfna2sCIy8JLGClWJDfwoUSRq+IfZ+nSMDKtVKVGpqWfTC8bIAiKVpRMeXR2wrSxM+xLQwsc\nl3wyzZnNN7Os8QJKrmz+ptNNOh3S8BpVk3pdI5M5ViwglfLobDdYFttEnjWSs1EJjXfPnKao7Wd5\ndwbPjmIYsD31b/zC/4fgPiNemqZfFoXAhDxH1M8EdCNbrxBt5Qep2itKHlrNX2XcNx05yOtOjVQK\nVkVENrJQr2AYYndZlpwD1egBPjRyIf9Tu5F6naA+lCro67rwzq4f8Df53/DVwQ/wycPXYiYbZLOh\nnPr67NlcHP0z1rWtk36y7cBpbTZlbFXOSq0m96zU3hSi1N4e1pZS82C4coSRiTq7d8t7O/NysBqx\nBlf3/BVRP82Ojo9Rqgniedh7kKiXJdlYT70e7tnKQE+nQ/RJ7UmaBn3mdVzZ/hcAeIlx8vmWberr\nxGknn9MCtM5xjpUsV/Lp1SoYxHBpYlmhTaXobb2JDWRiKX6VfQf9ztdlfpEOCocqhFv1WaPRQtHy\nWT665gFeEf+0qLHFl/Canr9nU/RyfM0lSjJAZoYTd7LT+TFNt07MSAQIqDonVKBB12UPU8Eetd8r\nBM51W2iRJoe91swHxWpn0hmV0/R7I1rgL6aA9hztxz+Wzr38cvn/hg2y6Spk58lGeH4XKW0LdXhO\nRbTgZBGe03F4JiZkbNetO/b1Ezk8x0N4Zk/PuRyYxRYtWEyEZ7Epbb9PogWzgxKLhSLObguVpYbT\nQ3jU3FMqQbMpbb298La3LQ68v2xZ6PBUq3D77cL5vvTSY9+3EIRnNsr5rGeFn5vL4VHXPF4Tg9ql\nXIaR2qHg9Qn7cGDgZzKy9lOpMAo+kbifD46fyQ+GPo9lyGAktDyjo7LeVMK6omI4lhHk/vgt6dqc\n2YHpZyiOZXAdDd+Hjd7VnOm8hp4ejSVLZK5NTIQ5JKqGkaqtUamAj49Lk2o1rH8xMiL9rqSelZR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TFsupd20JOQOeT7cP75x4pMdXaGefaJvAE16MqcSVJfzerV8jxjY3L9TEYo9xdeeGzx0YUE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\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ooC1kb5ZQaFvxFotAqd3HpVkLKkTHS7MJBjUFhpV92smSt79kiQRg8bgkOBMT8noG3dQx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\nyaS02dzWvZt3abu7EdY8AGAslYeaJX5PlBy6EddMdgJp9mbTASgAR7U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YwlFD9pbibMnT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\nCHi0a5pO8tPO7jlfW8R+XW3VP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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(range(-100, 0), X[-100:], 'b-')\n", "plt.plot(range(-100, 0), sigma_hats[-100:], 'r-')\n", "plt.xlabel('Time')\n", "plt.legend(['X', 'sigma'])\n", "\n", "\n", "max_X = [-np.inf]\n", "min_X = [np.inf]\n", "for i in range(100):\n", " X_forecast, sigma_forecast = simulate_GARCH(100, a0_estimate, a1_estimate, b1_estimate, initial_sigma)\n", " if max(X_forecast) > max(max_X):\n", " max_X = X_forecast\n", " elif min(X_forecast) < min(max_X):\n", " min_X = X_forecast\n", " plt.plot(range(0, 100), X_forecast, 'b--', alpha=0.05)\n", " plt.plot(range(0, 100), sigma_forecast, 'r--', alpha=0.05)\n", "\n", "# Draw the most extreme X values specially\n", "plt.plot(range(0, 100), max_X, 'g--', alpha=1.0)\n", "plt.plot(range(0, 100), min_X, 'g--', alpha=1.0);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*This presentation is for informational purposes only and does not constitute an offer to sell, a solicitation to buy, or a recommendation for any security; nor does it constitute an offer to provide investment advisory or other services by Quantopian, Inc. (\"Quantopian\"). Nothing contained herein constitutes investment advice or offers any opinion with respect to the suitability of any security, and any views expressed herein should not be taken as advice to buy, sell, or hold any security or as an endorsement of any security or company. In preparing the information contained herein, Quantopian, Inc. has not taken into account the investment needs, objectives, and financial circumstances of any particular investor. Any views expressed and data illustrated herein were prepared based upon information, believed to be reliable, available to Quantopian, Inc. at the time of publication. Quantopian makes no guarantees as to their accuracy or completeness. All information is subject to change and may quickly become unreliable for various reasons, including changes in market conditions or economic circumstances.*" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.12" } }, "nbformat": 4, "nbformat_minor": 0 }