{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Modeling a Time-Variant Random Variable by Using Drift!" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "import pandas_datareader.data as web\n", "from datetime import datetime\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "start = datetime(2016, 9, 1)\n", "end = datetime(2021, 8, 31)\n", "ticker = 'AAPL'\n", "stock = web.DataReader(ticker, 'stooq', start, end)\n", "prices = stock.reset_index().sort_values('Date',ascending=True)['Close'].to_numpy()" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 25.027, 25.257, 25.249, ..., 148.6 , 153.12 , 151.83 ])" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "prices" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(prices)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "logs = np.log(prices)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(logs)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.001434213390458498\n", "0.01905342412763582\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "first_diff = np.diff(logs)\n", "print(first_diff.mean())\n", "print(first_diff.std())\n", "plt.plot(first_diff)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "avg_return = first_diff.mean()\n", "avg_logs = np.array([logs[0]+avg_return*i for i in range(len(logs))])\n", "\n", "plt.plot(logs)\n", "plt.plot(avg_logs-.15)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.hist(first_diff, bins=25)\n", "plt.title('Daily Log Returns')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.001434213390458498" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "avg_return" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "l = len(prices)\n", "total_return = np.log(prices[-1])-np.log(prices[0])\n", "avg_return = total_return/l\n", "start_exp = np.log(prices[0])\n", "\n", "plt.plot(prices)\n", "plt.plot(np.exp(avg_logs-.15))\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.001433185397946235" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" } ], "source": [ "1 - np.exp(1) / np.exp(1+first_diff.mean())" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.001434213390458498" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# An addition of .001 to the exponent translates almost exactly to a .1% increase in value\n", "first_diff.mean()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So let's use this to create a stock that oscillates around a mean that grows exponentially.\n", "We'll model this by making the stock price an exponential function with a parameter in the exponent.\n", "Every day this parameter grows by .001; however the actual value of the stock is a random variable\n", "that we will model similarly to the mean but by bootstrapping." ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXoAAAD4CAYAAADiry33AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8rg+JYAAAACXBIWXMAAAsTAAALEwEAmpwYAAAX0ElEQVR4nO3dcYwc533e8efZ2b2jLEq2LJ0TVZRMJWLcMm1qpRe6iVMjTWyZbgMxQGSEbtNIgQshRZSmSINCaQG5Vf5pWiANmqi1hViFk9SVXbkpmJSOItRq0rSxzZPsOJUcNbQsWxSMiiJlm5R0dzu7v/6xs8e95e7dUvfuvbuj7wc4cHdmdvkOl/fce7/3nXccEQIA1FcjdwMAANNF0ANAzRH0AFBzBD0A1BxBDwA118zdgGHXXHNN7N+/P3czAGCuPPbYYy9ExNKofTMX9Pv379fKykruZgDAXLH9lXH7KN0AQM0R9ABQcwQ9ANQcQQ8ANUfQA0DNEfQAUHMEPQDUHEEPzIhnz76sR//s+dzNQA0R9MCM+A//6xn9zH/6XO5moIYIemBGfP2Vdb3S7uRuBmqIoAdmxLnVUp1uqOx0czcFNUPQAzPi3GpbkrRO0CMxgh6YEedWS0nSeknQIy2CHpgRBD2mhaAHZkS/dLNG0CMxgh6YARGx0aMn6JHaREFv+7Dtp2yftH33iP0/Z/tJ21+w/d9tv3lg3+22/7z6uj1l44G6WG13VXZDEqUbpLdt0NsuJN0n6T2SDkp6n+2DQ4d9TtJyRHyXpIck/avqtW+U9AFJb5N0SNIHbF+VrvlAPfTLNpK0VjKXHmlN0qM/JOlkRDwdEeuSHpR0ZPCAiHg0Il6unn5a0r7q8bslPRIRZyPiRUmPSDqcpulAfXyzKttI9OiR3iRBf52kZween6q2jfN+SZ+8lNfavtP2iu2V06dPT9AkoF4Ge/TMo0dqSQdjbf+4pGVJ//pSXhcR90fEckQsLy2NvIk5UGvn6NFjiiYJ+uckXT/wfF+1bRPb75T0zyTdGhFrl/Ja4LVuMOiZdYPUJgn6E5IO2L7R9oKko5KODR5g+2ZJH1Iv5AfXWX1Y0i22r6oGYW+ptgEYsKl0Q9AjseZ2B0REafsu9QK6kPRARDxh+15JKxFxTL1SzV5J/9m2JH01Im6NiLO2f1G9HxaSdG9EnJ3KmQBzjNINpmnboJekiDgu6fjQtnsGHr9zi9c+IOmBV9tA4LWA6ZWYJq6MBWbAubVSvV+GqdEjPYIemAHtTlevaxWSmF6J9Ah6YAZ0uqHLFnqV1LU2QY+0CHpgBrQ7oYXCahWmR4/kCHpgBnS6oWbR0ELRYNYNkiPogRnQ7nTVbFiLrYKgR3IEPTADej16a6FoML0SyRH0wAxod0JFo6GFJqUbpEfQAzOg0+2qVbgX9AzGIjGCHpgBZTdUNKzFZoPplUhuoiUQAExX2Qm1Gg2pyQVTSI+gB2ZA2e2q2WjIbrAEApKjdAPMgLKadbPYKgh6JEePHpgBZSfUbFhFg1k3SI+gB2ZAuenKWObRIy1KN8AMKKsrY5leiWkg6IEZ0F/rhumVmAaCHpgB7S49ekwPQQ/MgE41GLtQ0KNHegQ9MAPa1fTKVrOhTjdyNwc1Q9ADM6DTDTUbDTUbVtmlR4+0CHpgBrQ7XRUNq2hY3ZC69OqREEEPzIBON9QqrGbDknrz6oFUCHpgBpTVevTNovctSZ0eKRH0wAwoq/XoL/ToqdMjHYIeyKzbDXVDGzV6iR490iLogcz69fhW0aBGj6kg6IHM+mWaolq9UqJHj7QIeiCzfu+92bhQo2+zDAISIuiBzMrOhaCnRo9pIOiBzDZKN0VDzYIaPdIj6IHM+j36VsNqUqPHFBD0QGb9UB+cXtkPfyAFgh7IrD/wOji9kh49UiLogcw29egLroxFegQ9kFm7X6MfWAKBHj1SIuiBzC706BsbNfo2NXokRNADmbWrMk2zYNYNpmOioLd92PZTtk/avnvE/nfYftx2afu2oX0d25+vvo6lajhQF53BK2Op0WMKmtsdYLuQdJ+kd0k6JemE7WMR8eTAYV+VdIeknx/xFq9ExFt33lSgnvqzbvq3EpTo0SOtbYNe0iFJJyPiaUmy/aCkI5I2gj4inqn20Q0BLtFGj74YmEdP0COhSUo310l6duD5qWrbpPbYXrH9ads/MuoA23dWx6ycPn36Et4amH+Da91Qo8c07MZg7JsjYlnS35H0K7a/ffiAiLg/IpYjYnlpaWkXmgTMjgurVzbo0WMqJgn65yRdP/B8X7VtIhHxXPXn05L+h6SbL6F9QO2VncFZN960DUhhkqA/IemA7RttL0g6Kmmi2TO2r7K9WD2+RtLbNVDbB7B5PXp69JiGbYM+IkpJd0l6WNIXJX08Ip6wfa/tWyXJ9vfYPiXpvZI+ZPuJ6uV/SdKK7T+R9Kikfzk0Wwd4zSs35tE31Cqo0SO9SWbdKCKOSzo+tO2egccn1CvpDL/uf0v6KztsI1Bro248Qo8eKXFlLJBZOTC9cmMePTV6JETQA5mVI1evpEePdAh6ILP+DJsWV8ZiSgh6ILON1Su5MhZTQtADmW2sR99obFwZy60EkRJBD2TWqaZX9u8Za1/YBqRA0AOZDV4w1f+T0g1SIuiBzMpOqGGpUQV90TCDsUiKoAcyK7uhZnHhW7HZaNCjR1IEPZBZ2elulG0kevRIj6AHMiu7sSnomw1v3HUKSIGgBzIru91NpRt69EiNoAcy6wz16FsFNXqkRdADmbU7QY0eU0XQA5l1Lpp1wzx6pEXQA5m1R866YTAW6RD0QGa9Hv3moGetG6RE0AOZtTuhojFQuiko3SAtgh7IrNPtqrWpR8+sG6RF0AOZld3YWIdeklrU6JEYQQ9kVnZCrcbmC6ao0SMlgh7IrOx2N/XomwXz6JEWQQ9kVl4064YaPdIi6IHMys7Fi5rRo0dKBD2Q2fB69AVXxiIxgh7IbHg9+mbDKlmmGAkR9EBmw2vdsKgZUiPogcza3S7LFGOqCHogsw7LFGPKCHogs/bQ9MreMsXU6JEOQQ9k1rvDFDV6TA9BD2TW7gxdGcv0SiRG0AOZdbpx8eqVrHWDhAh6ILNy5Hr01OiRDkEPZFYOrUffZPVKJEbQAxl1u6FuaGSNPoKwRxoEPZBRf9C1VQyWbnqPmXmDVCYKetuHbT9l+6Ttu0fsf4ftx22Xtm8b2ne77T+vvm5P1XCgDvq1+OH16Hv7CHqksW3Q2y4k3SfpPZIOSnqf7YNDh31V0h2SPjr02jdK+oCkt0k6JOkDtq/aebOBeuiH+aYlEKqB2TYLmyGRSXr0hySdjIinI2Jd0oOSjgweEBHPRMQXJA3/z3y3pEci4mxEvCjpEUmHE7QbqIX+oGtzVI+eAVkkMknQXyfp2YHnp6ptk5jotbbvtL1ie+X06dMTvjUw/zZKN4M1+ir020yxRCIzMRgbEfdHxHJELC8tLeVuDrBr+r321qYePYOxSGuSoH9O0vUDz/dV2yaxk9cCtdcP8+HplRKlG6QzSdCfkHTA9o22FyQdlXRswvd/WNIttq+qBmFvqbYB0IUB18Hplf3HDMYilW2DPiJKSXepF9BflPTxiHjC9r22b5Uk299j+5Sk90r6kO0nqteelfSL6v2wOCHp3mobAI3p0TO9Eok1JzkoIo5LOj607Z6BxyfUK8uMeu0Dkh7YQRuB2mr3a/SblkCgR4+0ZmIwFnitutCjHyzdUKNHWgQ9kFF/CuWmO0xVNXpWsEQqBD2QUWfElbHMukFqBD2QUb8OP3grwY2gZzAWiRD0QEYbPfoRpRsGY5EKQQ9kNGqtGwZjkRpBD2R0YfXKwdINg7FIi6AHMio7F8+66ffo2/TokQhBD2Q0aj16plciNYIeyOjCYOyIZYrp0SMRgh7I6ML0yovXumGZYqRC0AMZjZxe2R+MZXolEiHogYzaI1avZDAWqRH0QEad/nr0g9MrGYxFYgQ9kFF/1k1RXLzWDT16pELQAxn1g77VuPgOU1wZi1QIeiCj/oDrYI2+aFg2pRukQ9ADGY26YErq9fAp3SAVgh7IqOyEGpYaQ0FfNKwOPXokQtADGZXd2HRVbF+zMD16JEPQAxmVne5FZRupNyBLjR6pEPRARmU3RgZ9s2Fm3SAZgh7IqOx2R5ZuWgWDsUiHoAcyKjtjevSFKd0gGYIeyGi97GqhOWIwltINEiLogYzWOuOCvsHNwZEMQQ9ktF52tTBmeiXr0SMVgh7IqD2uR180NpYwBnaKoAcyGtejbzXMjUeQDEEPZDR2MLZgMBbpEPRARutjSjetoqE20yuRCEEPZLRedjfWnx/E9EqkRNADGY3r0TcLplciHYIeyGi97GpxTI+e6ZVIhaAHMho/GNvYuCkJsFMEPZDR2MHYhindIBmCHsioPW4wlumVSIigBzLaajCW1SuRykRBb/uw7adsn7R994j9i7Y/Vu3/jO391fb9tl+x/fnq64OJ2w/MrW431O7E2CtjWY8eqTS3O8B2Iek+Se+SdErSCdvHIuLJgcPeL+nFiLjJ9lFJvyTpx6p9X4qIt6ZtNjD/1qsa/NgePTV6JDJJj/6QpJMR8XRErEt6UNKRoWOOSPpI9fghST9k++K7KQDY0B9sHbd6JYuaIZVJgv46Sc8OPD9VbRt5TESUkr4h6epq3422P2f7D2z/jVF/ge07ba/YXjl9+vQlnQAwr9bLLXr0LGqGhKY9GPs1STdExM2Sfk7SR21fOXxQRNwfEcsRsby0tDTlJgGzYavSzWKzUDdE2COJSYL+OUnXDzzfV20beYztpqTXSzoTEWsRcUaSIuIxSV+S9B07bTRQBxs9+hGlmz2t3rbVkqDHzk0S9CckHbB9o+0FSUclHRs65pik26vHt0n6VESE7aVqMFe2v03SAUlPp2k6MN/6Qd8a06OXpLV2Z1fbhHradtZNRJS275L0sKRC0gMR8YTteyWtRMQxSR+W9Ju2T0o6q94PA0l6h6R7bbcldSX9VEScncaJAPNmfYvBWHr0SGnboJekiDgu6fjQtnsGHq9Keu+I131C0id22Eaglvo9+sURPfo9rV6PfpUePRLgylggk61m3fRLNwQ9UiDogUy2nHVTlW7WKN0gAYIeyKR/wdSoRc320KNHQgQ9kMkk0yvX2vTosXMEPZDJGjV67BKCHshk61k31OiRDkEPZLK+VY2e6ZVIiKAHMmlvUboh6JESQQ9ksvWiZlwZi3QIeiCTrWfd9Ne6IeixcwQ9kMnGombFxffoKRpWq7BWS0o32DmCHshkvbpf7Libse1pFtTokQRBD2SyXnZH1uf7FlsNrVK6QQIEPZDJeqezddA3C61RukECBD2QyVq7O3Igtm9Pq8FgLJIg6IFMXlovtXfP+FtC7GlRo0caBD2QybnVUnsXxwf9YrPBrBskQdADmZxbLXXFNj16SjdIgaAHMjm32t426OnRIwWCHsjk3GqpKxZbY/fvYXolEiHogUzOr21dulnkgikkQtADGZSdrl5e72wz66bBevRIgqAHMji/VkqSrtgzvnRDjx6pEPRABudW+0G/RemGC6aQCEEPZLAR9FvMo7+sVWi901XZIeyxMwQ9kMEkpZs3Xr4gSXrx5fautAn1RdADGZxb7YX3VqWbqy9flCSdeWltV9qE+iLogQz6pZutZt1cvbfXoz9zfn1X2oT6IuiBDM6tbT8Ye00V9C+cp0ePnSHogQw2SjdbXBm7UbqhR48dIuiBDM6tlmo2rD2t8d+Cr7+spaJhavTYMYIeyOB8tXLluPvFSlKjYb3x8gV69Ngxgh7I4MxLa7rqdQvbHnf15Qt6gaDHDhH0QAYnnz+vb1vau+1x1+xd1FlKN9ghgh7YZWWnqy+/8JJuetP2QX/13gWdeYkePXaGoAd22VfOvqx2J3RgkqC/fJEaPXaMoAd22cnnz0vSRD36a1+/R+fXSj1/bnXazUKNEfTALusH/bdPEPTfd9PVkqQ//L8vTLVNqLeJgt72YdtP2T5p++4R+xdtf6za/xnb+wf2/UK1/Snb707YdmAu/fGXzui6N1ymvVusXNl38Nor9aYrFvXoU8/vQstQV9sGve1C0n2S3iPpoKT32T44dNj7Jb0YETdJ+jeSfql67UFJRyV9p6TDkv5d9X7Aa9J/+8LX9EcnX9BPvn3/RMfb1g+8ZUl/+NRpffmFl6bbONTW9l0K6ZCkkxHxtCTZflDSEUlPDhxzRNI/rx4/JOnX3LsS5IikByNiTdKXbZ+s3u+P0zT/gq+/vK7bPpj2bSMi6ftJUvp3nM6bTqOd0/j3lKbV1vTv+fJ6qRfOr+umN+3VT3zv/olfd8f33ahHnvx/eucv/4G+9co9ahZWw5Yl2b0fBuMvu8I8+YvXXqlffd/Nyd93kqC/TtKzA89PSXrbuGMiorT9DUlXV9s/PfTa64b/Att3SrpTkm644YZJ275J0bDe8i1XvKrXbmkK30HT+Kbc6grLV/2eyd+xet/X6L/pnlahg9deoR+5+TotNCcfHjv4F67U7/zM9+vBzz6r577+iroRilDvT03vByh23/VXXTaV950k6KcuIu6XdL8kLS8vv6r/tVfsaem+v/vdSdsFzIp9V71OP//ut+RuBubUJN2K5yRdP/B8X7Vt5DG2m5JeL+nMhK8FAEzRJEF/QtIB2zfaXlBvcPXY0DHHJN1ePb5N0qei9/vkMUlHq1k5N0o6IOmzaZoOAJjEtqWbquZ+l6SHJRWSHoiIJ2zfK2klIo5J+rCk36wGW8+q98NA1XEfV2/gtpT00xHRmdK5AABG8KwN5CwvL8fKykruZgDAXLH9WEQsj9rHlbEAUHMEPQDUHEEPADVH0ANAzc3cYKzt05K+soO3uEZSHZb6q8t5SJzLrKrLudTlPKSdncubI2Jp1I6ZC/qdsr0ybuR5ntTlPCTOZVbV5Vzqch7S9M6F0g0A1BxBDwA1V8egvz93AxKpy3lInMusqsu51OU8pCmdS+1q9ACAzerYowcADCDoAaDm5i7obV9v+1HbT9p+wvbPjjjmB2x/w/bnq697crR1O7b32P6s7T+pzuVfjDhm7I3XZ8mE53KH7dMDn8vfz9HWSdgubH/O9u+O2DcXn0nfNucyT5/JM7b/tGrnRSsfuuffVp/LF2zP7J2IJjiXpBk2E3eYukSlpH8cEY/bvkLSY7YfiYgnh477nxHxwxnadynWJP1gRJy33ZL0R7Y/GRGDt1/cuPG67aPq3Xj9x3I0dhuTnIskfSwi7srQvkv1s5K+KOnKEfvm5TPp2+pcpPn5TCTpb0bEuAuK3qPePS8OqHe703+vi297Oku2OhcpYYbNXY8+Ir4WEY9Xj8+p9x/4ovvQzoPoOV89bVVfw6PjRyR9pHr8kKQf8jRuELtDE57LXLC9T9LflvTrYw6Zi89Emuhc6uSIpN+o/i9+WtIbbF+bu1GzYO6CflD1K/PNkj4zYvf3VmWET9r+zt1t2eSqX6s/L+l5SY9ExPC5bLrxuqT+jddnzgTnIkk/Wv1a/ZDt60fsnwW/IumfSOqO2T83n4m2PxdpPj4Tqddx+H3bj9m+c8T+jc+lckqz2wnc7lykhBk2t0Fve6+kT0j6RxHxzaHdj6u37sNflfSrkv7rLjdvYhHRiYi3qnc/3UO2/3LmJr1qE5zL70jaHxHfJekRXegVzwzbPyzp+Yh4LHdbdmrCc5n5z2TA90fEd6tXovlp2+/I3aAd2O5ckmbYXAZ9VQP+hKT/GBH/ZXh/RHyzX0aIiOOSWrav2eVmXpKI+LqkRyUdHto17sbrM2vcuUTEmYhYq57+uqS/tstNm8TbJd1q+xlJD0r6Qdu/NXTMvHwm257LnHwmkqSIeK7683lJvy3p0NAhG59LZV+1beZsdy6pM2zugr6qhX5Y0hcj4pfHHPOt/Zqp7UPqnefMfSPaXrL9hurxZZLeJenPhg4bd+P1mTLJuQzVS29Vb3xlpkTEL0TEvojYr969jz8VET8+dNhcfCaTnMs8fCaSZPvyavKFbF8u6RZJ/2fosGOSfqKaffPXJX0jIr62y03d1iTnkjrD5nHWzdsl/T1Jf1rVgyXpn0q6QZIi4oPqffP9A9ulpFckHZ3Fb0RJ10r6iO1CvQ/y4xHxu57gxuszaJJz+Ye2b1Vv5tRZSXdka+0lmtPPZKQ5/Uy+RdJvV9nXlPTRiPg92z8lbXzfH5f0tySdlPSypJ/M1NbtTHIuSTOMJRAAoObmrnQDALg0BD0A1BxBDwA1R9ADQM0R9ABQcwQ9ANQcQQ8ANff/AYKjgLcw/76yAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from scipy.stats import norm\n", "\n", "# Particle filter\n", "pf_index = np.linspace(2.5, 5.5, 301)\n", "pf = np.full(301, 1./301.) # A completely naive prior\n", "e_values = [(pf_index * pf).sum()]\n", "\n", "log_means = [logs[0]]\n", "mean_gain = first_diff.mean()\n", "\n", "log_values = [logs[0]]\n", "sigma = first_diff.std()\n", "ps = [norm.pdf(0, loc=0, scale=5*sigma)]\n", "\n", "for count in range(1,1000):\n", " \n", " accept=False\n", " log_means.append(log_means[-1] + mean_gain)\n", " \n", " # Go through MCMC accept/reject loop\n", " while not accept:\n", " new_log_value = log_values[-1] + np.random.choice(first_diff)\n", " new_p = norm.pdf(new_log_value, loc=log_means[-1], scale=5*sigma)\n", " if new_p > ps[-1]:\n", " accept = True\n", " else:\n", " p = new_p / ps[-1]\n", " accept = np.random.choice([True, False], p=[p, 1-p])\n", "\n", " log_values.append(new_log_value)\n", " old_p = new_p\n", " \n", " # Applying the likelihood function\n", " if count % 1 == 0:\n", "\n", " L = []\n", " for i in range(len(pf_index)):\n", " arr = norm.pdf(np.array(log_values[-1:]), loc=pf_index[i], scale=2*sigma)\n", " L.append(arr.prod())\n", " L = np.array(L)\n", " pf = (5 + L) * pf\n", " # Here we add the drift, which for simplicity we call a random variable X\n", " # If you look carefully, you'll see that it's convolution\n", " new_pf = pf.copy()\n", " for i in range(pf_index.shape[0]):\n", " # i is our index\n", " t = pf_index[i]\n", " t_minus_tau = t - pf_index\n", " P_X = norm.pdf(t_minus_tau, loc=0, scale=mean_gain*np.sqrt(20))\n", " new_pf[i] = (pf * P_X).sum()\n", "\n", " pf = new_pf / new_pf.sum()\n", " # And then we normalize the weights so they sum to 1\n", "\n", " new_e_value = (pf*pf_index).sum()\n", " e_values.append(new_e_value)\n", " \n", " if count % 100 == 0:\n", " plt.plot(pf_index, pf)\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(16,6))\n", "plt.plot(log_means)\n", "plt.plot(log_values)\n", "plt.plot(range(0,1000),e_values)\n", "plt.plot(range(0,1000),e_values+6*sigma)\n", "plt.plot(range(0,1000),e_values-6*sigma)\n", "plt.legend(['Mean','Log Values','Expected Log Values'])\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 103, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 103, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(16,6))\n", "plt.plot(np.exp(log_means))\n", "plt.plot(np.exp(log_values))\n", "plt.plot(range(0,1000,20),np.exp(e_values))\n", "plt.plot(range(0,1000,20),np.exp(e_values+9*sigma))\n", "plt.plot(range(0,1000,20),np.exp(e_values-9*sigma))" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAY0AAAD4CAYAAAAQP7oXAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8rg+JYAAAACXBIWXMAAAsTAAALEwEAmpwYAAAlDklEQVR4nO3dfZBc1X3m8e8zPa/SjEZvAwhJWCIIJxKJwdbK2MEurwlBTlIoyeJYTkJwFhfrFFTsiquy4K0iMbtULcnG3kqM4yKBWsLiCAqcZNYrh2DDOvYmlhBYNkggMyBYJIQkRtK8SPM+v/2jb4/bw7zckab73paeT1WXus89995zpzX3N+flnqOIwMzMLI26rAtgZma1w0HDzMxSc9AwM7PUHDTMzCw1Bw0zM0utPusCVNLy5ctjzZo1WRfDzKymPPPMM29FRMdU287qoLFmzRp27dqVdTHMzGqKpNem2+bmKTMzS81Bw8zMUnPQMDOz1Bw0zMwsNQcNMzNLzUHDzMxSc9AwM7PUzurnNGrB4MgYr3af5HDvEL0DI/QOjjAwPMZ4BGPjJP8WX57G/jRIUyfPLXuyzzTHmmafuZ5DM518rseaY1mL+1T+HNOee16/pzmeY47f30w7TZVaqBOLWxpY1trE8tZG3rFsIYW60/gh5YSDRgZePtpP5+43eHzPm/zocB/jc4gFp/MLea5yjLU8WtBY4LKV7VzzM+dz/XtWsWRhY9ZFmhOdzX+9bty4MfL0RHjPqRHu/Ppevvb9AwD8mzVLufLiZaw7r5ULFzfT3tLAouYGmhoKFOpEQaKuDgoShTqd1l+ilt5MvwvTbZpuj+mONX3+Gco1zV5z/dWdz3PM9bpn3mduO0xX1pmOleX3NDYeHD85QvfJId7sGWTPG708/eox9rzRy4LGAr9/9To+edVa6gv56S2Q9ExEbJxqm2saVfJa90l++74dHDoxyM0fvJibrlrLeW3NWRfLyswUlOcerx3g7cdWtLdMvP9o8u++N/v408f38V+/8SI79x/jS795BQsa839Lzk9oO4sd7Rti673fo39wlEc+9T5u/8jPOGCYnePeeUEbf/U77+E//+pl/J99R7j1q99ndGw862LNykGjwsbHg1u++izHTw3z4E3v5d0XLcm6SGaWE5K44cp38PnrNvDki0e456mXsy7SrBw0Kmzb06+zc/8x7txyGZetbM+6OGaWQze8bw3XvetCvvTUS+x7sy/r4szIQaOC+odG+ZPHX+TKi5fy0fesyro4ZpZjf3zdBloaCvzJP76YdVFm5KBRQV/d8RonTo1w20d+xiOfzGxGSxc2cvMHL+ZbLx5h9+snsi7OtBw0KmRkbJy//s5+rrpkOZevXpx1ccysBnzi59fS1lTPA//yatZFmZaDRoV8e99RjvQNceP712RdFDOrEa1N9fzau1fyv587xPGTw1kXZ0oOGhXy2LMHWLawkQ+9c8plds3MpvSb772I4dFxOn/wRtZFmZKDRgX0D43yrReOcN3lF9KQo6c8zSz/fvqCRVx6fivfeP5Q1kWZku9oFfCdHx1leGyczRsuyLooZlaDNm+4gJ37j3Esh01UDhoV8K0Xj9De0sB73uEH+cxs7n5xwwWMB3zzhcNZF+VtHDTm2fh48NSLR/jQOztyNQGZmdWODRcuoqOtif/b9VbWRXmbVHc1SZsl7ZPUJem2KbY3SXo42b5D0pqybbcn6fskXZukNUvaKekHkvZI+nxZ/oeSvM9Lul9SQ5L+IUk9knYnrzvO+Oor4KUj/XSfHOYD69wBbmanRxLvu3gZ//Jyd+7W0Zk1aEgqAPcAHwHWAx+XtH5StpuA4xFxCfBF4O5k3/XAVmADsBn4cnK8IeDDEfEu4HJgs6Qrk2M9BPw08LNAC/DJsvN8JyIuT153nsb1VtzO/d0AvHft0oxLYma17P0/tYyjfUO8fLQ/66L8hDQ1jU1AV0S8EhHDwDZgy6Q8W4AHkvePAler+Aj0FmBbRAxFxH6gC9gURaWfREPyCoCI2J5sD2AnUFPzb+zYf4wV7c2sWtIye2Yzs2m8/6eWA/CvL3dnXJKflCZorAReL/t8IEmbMk9EjAI9wLKZ9pVUkLQbOAI8ERE7yg+YNEvdAPxjWfL7kiatb0jaMFVhJd0saZekXUePHk1xefMnIti5/xib1i71tCFmdkZWL21heWsT38/ZlCKZ9dRGxFhEXE6xJrFJ0mWTsnwZ+OeI+E7y+VngHUmT1l8Afz/Nce+NiI0RsbGjo7r9Cod6BjnSN+RRU2Z2xiRx+ep2flCDQeMgsLrs86okbco8kuqBdqA7zb4RcQJ4imKfB8kx/gjoAP6gLF9vqUkrIrYDDZKWpyh/1Tx3sAfAU6Cb2bx416rFvPLWSXoHR7IuyoQ0QeNpYJ2ktZIaKXZsd07K0wncmLy/Hngy6ZPoBLYmo6vWAuuAnZI6JC0GkNQCXAO8mHz+JHAt8PGImFjGStIFST8JkjYlZc9VY9/zB3so1In1KxZlXRQzOwu8a/ViIuD5Az1ZF2XCrAvSRsSopFuBx4ECcH9E7JF0J7ArIjqB+4AHJXUBxygGFpJ8jwB7gVHglogYk7QCeCAZSVUHPBIRX09O+RXgNeBfkxjxtWSk1PXA70kaBQaArZGzsWjPHexh3XmtNDcUsi6KmZ0Ffm5VsdXiBwd6eP8l+WhYSbWKedIctH1S2h1l7wf58Xrpk/e9C7hrUtoPgSumyT9lmSLiS8CX0pQ3CxHB8wd7+NA7z8u6KGZ2lli8oJEL25vZ92Zv1kWZ4EeW58lb/cO81T/MhgvdNGVm8+fSC9rYdzg/z2o4aMyTlw4X1/W99Py2jEtiZmeTd17QxstH+hkZG589cxU4aMyTl44U/xJYd15rxiUxs7PJT1/QxvDYOK++dTLrogAOGvPmpSN9LGqup6OtKeuimNlZpNR6sS9pzciag8Y8+dHhftad3+Ynwc1sXl1yXit1gh+96aBxVuk60u+mKTObd031BVYuaWF/96msiwI4aMyL4yeHOXZymEscNMysAtYub3Wfxtnk1e7il7lm2cKMS2JmZ6O1yxbw6lsnc7G2hoPGPHgtqTauWb4g45KY2dlo7fKF9A2N8lZ/9muGO2jMg9e6TyHBqiUOGmY2/9YsL7ZilFo1suSgMQ9e6z7JikXNnnPKzCri4uXF/tL9Rx00zgqvdp/kHe7PMLMKWbmkhfo6uaZxtvh/x065P8PMKqZQJy5c3MLBEwNZF8VB40z1J51TFy11TcPMKmfVkhYOHHfQqHlvJJF/1ZKWjEtiZmezlYtbOHA8+wf8HDTO0MEk8l+42EHDzCpn1ZIFHO4dYmh0LNNyOGicoQOuaZhZFZTuMW+cGMy0HA4aZ+iNEwM0FERHq2e3NbPKKQWNrJuoHDTO0MHjA6xob6GuzrPbmlnlrFpaHKGZdWe4g8YZOnhigAsXN2ddDDM7y53f1kShTq5p1Lo3TgywcrGf0TCzyqov1HFeWxNv9gxlWo5UQUPSZkn7JHVJum2K7U2SHk6275C0pmzb7Un6PknXJmnNknZK+oGkPZI+X5Z/bXKMruSYjbOdIysjY+Mc7h1kpWsaZlYFF7Q382ZvzpunJBWAe4CPAOuBj0taPynbTcDxiLgE+CJwd7LvemArsAHYDHw5Od4Q8OGIeBdwObBZ0pXJse4Gvpgc63hy7GnPkaUjfUOMB6zwcFszq4IV7c0c6sn/6KlNQFdEvBIRw8A2YMukPFuAB5L3jwJXq7ju6RZgW0QMRcR+oAvYFEX9Sf6G5BXJPh9OjkFyzF+d5RyZeTP58i5Y5JqGmVXe+YuaebNnMNN1NdIEjZXA62WfDyRpU+aJiFGgB1g2076SCpJ2A0eAJyJiR7LPieQYk8813Tl+gqSbJe2StOvo0aMpLu/0HektBo3zFnm4rZlV3or2Zk4Nj9E3NDp75grJrCM8IsYi4nJgFbBJ0mXzdNx7I2JjRGzs6OiYj0NO681e1zTMrHrOT+41hzNsokoTNA4Cq8s+r0rSpswjqR5oB7rT7BsRJ4CnKPZ5dAOLk2NMzj/dOTJzuHeIhoJYsqAxy2KY2TliRXux/zTLfo00QeNpYF0yqqmRYsd256Q8ncCNyfvrgSej2OjWCWxNRj6tBdYBOyV1SFoMIKkFuAZ4MdnnqeQYJMf8h1nOkZkjvYOc19bsB/vMrCpWtBdrGqVWjizUz5YhIkYl3Qo8DhSA+yNij6Q7gV0R0QncBzwoqQs4RjGwkOR7BNgLjAK3RMSYpBXAA8lIqjrgkYj4enLK/whsk/RfgO8nx2a6c2Tpzd5Bznd/hplVSan/9M0MaxqzBg2AiNgObJ+UdkfZ+0Hgo9Psexdw16S0HwJXTJP/FYojtianT3uOrBzuHeTS89uyLoaZnSOa6gssWdDAkb58N0/ZNA73Dk10TJmZVUNHWxNH+7J7KtxB4zSdHBqlf2jUQcPMqspBo0a91V/80jra3KdhZtXT0drE0X4HjZrzVv8wAMtaPdzWzKqnVNPIavCog8Zp6k4i/fKFrmmYWfWc19bM4Mh4Zk+FO2icpu6TrmmYWfWVmsSz6tdw0DhNpZrG0oUOGmZWPQ4aNeqt/mHamuppbihkXRQzO4c4aNSo7pPDbpoys6rraHXQqEnd/UMsa3UnuJlV1+IFDTQUxBEHjdrS3T/MMvdnmFmVSWLpwkaOnXTQqCndJ13TMLNsLF3YRHfyrFi1OWichvHx4NjJYZa7T8PMMrC8tXFi2H+1OWichhMDI4yHh9uaWTaKzVMOGjWj9IyGm6fMLAvLFjZN3IeqzUHjNJTmnVrumoaZZWBZayMnh8cYHBmr+rkdNE5D90nXNMwsO6Wm8Sz6NRw0TkO3Z7g1swyVhvsfy2AElYPGaejuH0KCJQscNMys+kp/sL6VwbMaDhqn4a2Twyxd0EihTlkXxczOQcuSJRlc06gRxSlEXMsws2wsTe4/WQy7TRU0JG2WtE9Sl6TbptjeJOnhZPsOSWvKtt2epO+TdG2StlrSU5L2Stoj6dNl+R+WtDt5vSppd5K+RtJA2bavnOnFn67iFCLuBDezbLQ11dNYqMukeap+tgySCsA9wDXAAeBpSZ0Rsbcs203A8Yi4RNJW4G7gY5LWA1uBDcCFwDclXQqMAp+NiGcltQHPSHoiIvZGxMfKzv1nQE/ZeV6OiMvP5ILnQ/fJYTZcuCjrYpjZOUoSixc0cOLkSNXPnaamsQnoiohXImIY2AZsmZRnC/BA8v5R4GpJStK3RcRQROwHuoBNEXEoIp4FiIg+4AVgZfkBk/1/A/jb07u0yunuH2K5h9uaWYaWLGjkxEA+m6dWAq+XfT7ApBt8eZ6IGKVYO1iWZt+kKesKYMekY34AOBwRL5WlrZX0fUnflvSBqQor6WZJuyTtOnr0aIrLm5vh0XF6B0c9w62ZZap9QQMnTuWzplExklqBx4DPRETvpM0f5ydrGYeAiyLiCuAPgK9KelsbUUTcGxEbI2JjR0fHvJe51PG01B3hZpahxS35DRoHgdVln1claVPmkVQPtAPdM+0rqYFiwHgoIr5WfrDkGL8OPFxKS5q4upP3zwAvA5emKP+8KlUH/YyGmWUpz81TTwPrJK2V1EixY7tzUp5O4Mbk/fXAkxERSfrWZHTVWmAdsDPpr7gPeCEivjDFOX8BeDEiDpQSJHUknfJIujg51itpL3S+lCL74paGap/azGzC4gUNHD81QvFWWz2zjp6KiFFJtwKPAwXg/ojYI+lOYFdEdFIMAA9K6gKOUQwsJPkeAfZSHDF1S0SMSboKuAF4rjSkFvhcRGxP3m/l7R3gHwTulDQCjAOfiohjp33lp6kUNNoXOGiYWXYWL2hkeHScwZFxWhoLVTvvrEEDILmZb5+UdkfZ+0Hgo9Psexdw16S07wLTPk4dEZ+YIu0xis1ZmepJqoOL3TxlZhlanPzhemJgmJbGlqqd10+Ez5Gbp8wsD0r3oONVflbDQWOOTgyM0FAQC6pYHTQzm6zU2lHtznAHjTk6cWqE9pZGin35ZmbZKDVP9VR52K2Dxhz1DAxPfFlmZlkp3YeOO2jk24lTI+7PMLPMLXHzVG04cWrENQ0zy1xzQ4Gm+rqqPxXuoDFHPQMjLHJNw8xyYMmCRk6cck0j13oGRljc4mc0zCx7izOYtNBBYw5GxsbpHxp185SZ5UJ7BpMWOmjMQc9A8mCfg4aZ5UAWkxY6aMzBxLxT7tMwsxxw81TOed4pM8uT0kJM1Zzp1kFjDjzvlJnlyZIFjQyPjTMwMla1czpozMFE0HCfhpnlwMSkhVVsonLQmIMTpY5wD7k1sxyYmLSwis9qOGjMQc+pYSRoa061DImZWUVlMWmhg8YcnBgYob2lgbo6z3BrZtnLYtJCB4058GSFZpYnWUxa6KAxBycGRmj3cFszy4nSM2PVfFbDQWMOek4Nu6ZhZrnR3FCgpaHgjvC8OjHgadHNLF/aWxompjiqhlRBQ9JmSfskdUm6bYrtTZIeTrbvkLSmbNvtSfo+SdcmaaslPSVpr6Q9kj5dlv+PJR2UtDt5/dJMx6om92mYWd4saqmnd2C0auebdeyopAJwD3ANcAB4WlJnROwty3YTcDwiLpG0Fbgb+Jik9cBWYANwIfBNSZcCo8BnI+JZSW3AM5KeKDvmFyPiv00qx5THioiqPAo5Ph70DrpPw8zypa25gb6hfNU0NgFdEfFKRAwD24Atk/JsAR5I3j8KXC1JSfq2iBiKiP1AF7ApIg5FxLMAEdEHvACsnKUcUx4rRfnnRd/gKBGeQsTM8mVRc3VrGmmCxkrg9bLPB3j7DX4iT0SMAj3AsjT7Jk1ZVwA7ypJvlfRDSfdLWjKHciDpZkm7JO06evRoistLpzSkzTPcmlmeLGppoHcwXzWNipHUCjwGfCYiepPkvwR+CrgcOAT82VyOGRH3RsTGiNjY0dExb2UtRXIv9WpmebKouYHenHWEHwRWl31elaRNmUdSPdAOdM+0r6QGigHjoYj4WilDRByOiLGIGAf+ih83QaUpR8X0JZHcU4iYWZ60NdcnzefVmR49TdB4Glgnaa2kRoqd0Z2T8nQCNybvrweejOIVdAJbk9FVa4F1wM6kv+M+4IWI+EL5gSStKPv4a8DzZed427HSXuiZKlX/FjW7pmFm+bGopYHR8aja9Oiz/tkcEaOSbgUeBwrA/RGxR9KdwK6I6KQYAB6U1AUcoxhYSPI9AuylOGLqlogYk3QVcAPwnKTdyak+FxHbgT+RdDkQwKvAf5jpWPPxQ0ijd7DYPOWahpnlSekP2d6BURY0Vv7+lOoMyc18+6S0O8reDwIfnWbfu4C7JqV9F5hy1r+IuGGGcrztWNVSajN0n4aZ5cmiluJtvHdwhAvamyt+Pj8RnlJfUtNobXJNw8zyoy2pafRVaQSVg0ZKvYMjtDXVU/C06GaWI4uSJvNqPavhoJFS3+Co+zPMLHdKTebVelbDQSOl3oER92eYWe78uCPcQSNXXNMwszwq3ZdKIzwrzUEjpd7BET+jYWa509xQoLG+zs1TeeOahpnlVXEqEdc0cqV30H0aZpZPi1rqXdPIk4hwTcPMcqutipMWOmikMDAyxth4TDxEY2aWJ4uSSQurwUEjhYlp0R00zCyHqrmmhoNGCp4W3czyrJqr9zlopDAxLbo7ws0shxY1u6aRK54W3czybFFLA8Oj4wxWYU0NB40UJqZFd5+GmeVQadLCanSGO2ikUPoiFrmmYWY5VBrZWY0mKgeNFNynYWZ5NrEQUxWe1XDQSKFvcJSGgmiq94/LzPJn0cRCTG6eyoXegeJkhZIXYDKz/KnmmhoOGil4ChEzy7O2Kq7e56CRgicrNLM8W5S3jnBJmyXtk9Ql6bYptjdJejjZvkPSmrJttyfp+yRdm6StlvSUpL2S9kj6dFn+P5X0oqQfSvo7SYuT9DWSBiTtTl5fOdOLT8s1DTPLswWNBQp1ykdHuKQCcA/wEWA98HFJ6ydluwk4HhGXAF8E7k72XQ9sBTYAm4EvJ8cbBT4bEeuBK4Fbyo75BHBZRPwc8CPg9rLzvBwRlyevT53WFZ+GPi/AZGY5Jqk4lUhOahqbgK6IeCUihoFtwJZJebYADyTvHwWuVrHXeAuwLSKGImI/0AVsiohDEfEsQET0AS8AK5PP/xQRpYa57wGrTv/y5kfvgGsaZpZvbc0N9Odk9NRK4PWyzweStCnzJDf8HmBZmn2TpqwrgB1TnPvfA98o+7xW0vclfVvSB1KUfV70DY54WnQzy7XWpnr6hyofNDL981lSK/AY8JmI6J207T9RbMZ6KEk6BFwUEd2S3gP8vaQNU+x3M3AzwEUXXXTGZRwdG+fk8Jibp8ws11qrtKZGmprGQWB12edVSdqUeSTVA+1A90z7SmqgGDAeioivlR9M0ieAXwF+KyICIGni6k7ePwO8DFw6ubARcW9EbIyIjR0dHSkub2alyO3mKTPLs7Yq1TTSBI2ngXWS1kpqpNix3TkpTydwY/L+euDJ5GbfCWxNRletBdYBO5P+jvuAFyLiC+UHkrQZ+EPguog4VZbekXSiI+ni5FivzO1y525iASYPuTWzHGttzknzVESMSroVeBwoAPdHxB5JdwK7IqKTYgB4UFIXcIxiYCHJ9wiwl2JT0y0RMSbpKuAG4DlJu5NTfS4itgNfApqAJ5InsL+XjJT6IHCnpBFgHPhURBybnx/D9PqGiqMRWptc0zCz/Gptqq9KR3iqO2FyM98+Ke2OsveDwEen2fcu4K5Jad8FppyTIxm2O1X6YxSbs6qq3zPcmlkNaG2upy8nzVPntFJ1r9VBw8xyrK2pnuHRcYZGK7sQk4PGLCaChpunzCzHSveok0MOGpkqDWFzTcPM8qw1eSyg0v0aDhqzmBhy2+TRU2aWX6WaRqWnEnHQmEX/4CiFOtHc4B+VmeVX6VmySg+79Z1wFv1Do7Q21XsBJjPLtYmg4eapbPUNjroT3Mxyr3Sfck0jY/1DI55CxMxyrzRYp9LPajhozKLUPGVmlmelwTpunspY/+Coh9uaWe41N9RRqBP9Qx49lam+oVEWuqZhZjknqSrzTzlozKJ/cJQ2Bw0zqwGtTZWff8pBYxbu0zCzWtHW7JpGpsbGg1PDY+7TMLOaUI0lXx00ZuDJCs2sllRjISYHjRmc9FKvZlZD3BGesR/XNDxZoZnlX1sVFmJy0JiBp0U3s1rimkbG3KdhZrWktamBgZExRsfGK3YOB40ZlCK2+zTMrBaUWkUquXqfg8YMSo/ju6ZhZrWgbWLSwspNJZIqaEjaLGmfpC5Jt02xvUnSw8n2HZLWlG27PUnfJ+naJG21pKck7ZW0R9Kny/IvlfSEpJeSf5ck6ZL058mxfijp3Wd89bNwn4aZ1ZK2KkyPPmvQkFQA7gE+AqwHPi5p/aRsNwHHI+IS4IvA3cm+64GtwAZgM/Dl5HijwGcjYj1wJXBL2TFvA74VEeuAbyWfSc6/LnndDPzlaV3xHJR+8AsbHTTMLP9aq7AQU5qaxiagKyJeiYhhYBuwZVKeLcADyftHgatVXOpuC7AtIoYiYj/QBWyKiEMR8SxARPQBLwArpzjWA8CvlqX/TRR9D1gsacXcLndu+gdHWdhYoFDnVfvMLP9KTemVHHabJmisBF4v+3yAH9/g35YnIkaBHmBZmn2TpqwrgB1J0vkRcSh5/yZw/hzKMa/6hzwtupnVjmos+ZppR7ikVuAx4DMR0Tt5e0QEEHM85s2SdknadfTo0TMqX58nKzSzGlJ6ELkv46BxEFhd9nlVkjZlHkn1QDvQPdO+khooBoyHIuJrZXkOl5qdkn+PzKEcRMS9EbExIjZ2dHSkuLzpFRdg8tPgZlYbJvo0Mh499TSwTtJaSY0UO7Y7J+XpBG5M3l8PPJnUEjqBrcnoqrUUO7F3Jv0d9wEvRMQXZjjWjcA/lKX/TjKK6kqgp6wZqyL6h7yWhpnVjgUNBaTKNk/NekeMiFFJtwKPAwXg/ojYI+lOYFdEdFIMAA9K6gKOUQwsJPkeAfZSHDF1S0SMSboKuAF4TtLu5FSfi4jtwH8FHpF0E/Aa8BvJ9u3AL1HsTD8F/O6ZX/7M+gdH6WhtqvRpzMzmRV2daG2s7PxTqf6MTm7m2yel3VH2fhD46DT73gXcNSntu8CUQ5Iiohu4eor0AG5JU9754o5wM6s1rRVeiMlPhM+gb3DEHeFmVlMqvRCTg8Y0IqLYp+GahpnVkEovxOSgMY2BkTHGw/NOmVltaW2qz3zI7Tmp1Ca40EHDzGpIm2sa2ejzUq9mVoMqvRCTg8Y0Sj90N0+ZWS1pa25wTSMLXrXPzGpRafTU+PicZmBKzUFjGl5Lw8xqUalJ/eRwZWobDhrTOFnq02jy3FNmVjtaK7wQk4PGNCaap1zTMLMaUumFmBw0pjGxal9TIeOSmJmlV+mFmBw0ptE3OEpjfR1N9Q4aZlY7Kr0Qk4PGNPqHRjwtupnVnNJCTO7TqLLiAkwOGmZWW9ynkZF+L/VqZjXIfRoZ6Rt00DCz2jMx5NY1jerytOhmVosKdWJBY6Fi64Q7aEzDzVNmVqsqOT26g8Y03BFuZrWqtbly64T7rjiNvqHRiaFrZma15N4b3lOxtYAcNKYwNDrG8Oi4+zTMrCZdcl5bxY7t5qkpnBwaAzwtupnZZKmChqTNkvZJ6pJ02xTbmyQ9nGzfIWlN2bbbk/R9kq4tS79f0hFJz0861sOSdievVyXtTtLXSBoo2/aV073o2XgBJjOzqc16V5RUAO4BrgEOAE9L6oyIvWXZbgKOR8QlkrYCdwMfk7Qe2ApsAC4Evinp0ogYA/4H8CXgb8rPFxEfKzv3nwE9ZZtfjojL53yVc9SXDFVzR7iZ2U9KU9PYBHRFxCsRMQxsA7ZMyrMFeCB5/yhwtSQl6dsiYigi9gNdyfGIiH8Gjk130mT/3wD+dg7XMy9aGgr88s+uYNWSlmqf2sws19IEjZXA62WfDyRpU+aJiFGKtYNlKfedzgeAwxHxUlnaWknfl/RtSR+YaidJN0vaJWnX0aNHU57qJ13c0co9v/VuNlzYflr7m5mdrfLcEf5xfrKWcQi4KCKuAP4A+KqkRZN3ioh7I2JjRGzs6OioUlHNzM4NaYLGQWB12edVSdqUeSTVA+1Ad8p93yY5xq8DD5fSkiau7uT9M8DLwKUpym9mZvMkTdB4Glgnaa2kRood252T8nQCNybvrweejIhI0rcmo6vWAuuAnSnO+QvAixFxoJQgqSPplEfSxcmxXklxLDMzmyezDg+KiFFJtwKPAwXg/ojYI+lOYFdEdAL3AQ9K6qLYub012XePpEeAvcAocEsycgpJfwt8CFgu6QDwRxFxX3Larby9A/yDwJ2SRoBx4FMRMW1HupmZzT8VKwRnp40bN8auXbuyLoaZWU2R9ExEbJxqW547ws3MLGccNMzMLDUHDTMzS+2s7tOQdBR47QwOsRx4a56Kk6Wz5TrA15JHZ8t1gK+l5B0RMeWDbmd10DhTknZN1xlUS86W6wBfSx6dLdcBvpY03DxlZmapOWiYmVlqDhozuzfrAsyTs+U6wNeSR2fLdYCvZVbu0zAzs9Rc0zAzs9QcNMzMLLVzOmhIWi3pKUl7Je2R9Okp8nxIUk/Z2uR3ZFHW2UhqlrRT0g+Sa/n8FHmmXcs9T1JeyyckHS37Xj6ZRVnTkFRIFg/7+hTbauI7KZnlWmrpO3lV0nNJOd82QZ2K/jz5Xn4o6d1ZlDONFNcyr/ewc30R7FHgsxHxrKQ24BlJT0xa/xzgOxHxKxmUby6GgA9HRL+kBuC7kr4REd8ryzPlWu5ZFHYWaa4F4OGIuDWD8s3Vp4EXgLctGkbtfCclM10L1M53AvBvI2K6h98+QnH5hXXAe4G/TP7Nq5muBebxHnZO1zQi4lBEPJu876P4y5B2OdpciaL+5GND8po8ymG6tdxzJeW11ARJq4BfBv56miw18Z1Aqms5m2wB/ib5v/g9YLGkFVkXKg/O6aBRLmkWuALYMcXm9yVNJd+QtKG6JUsvaTrYDRwBnoiIydcy3VruuZPiWgD+XdJ08Kik1VNsz4P/DvwhxTVgplIz3wmzXwvUxncCxT9C/knSM5JunmL7xPeSOEB+/6Cc7VpgHu9hDhqApFbgMeAzEdE7afOzFOdheRfwF8DfV7l4qUXEWERcTnFZ3U2SLsu4SKctxbX8L2BNRPwc8AQ//ms9NyT9CnAkWZ64pqW8ltx/J2Wuioh3U2yGukXSB7Mu0BmY7Vrm9R52zgeNpM38MeChiPja5O0R0VtqKomI7UCDpOVVLuacRMQJ4Clg86RN063lnlvTXUtEdEfEUPLxr4H3VLloafw8cJ2kV4FtwIcl/c9JeWrlO5n1WmrkOwEgIg4m/x4B/g7YNCnLxPeSWJWk5c5s1zLf97BzOmgkbcf3AS9ExBemyXNBqY1Z0iaKP7Pc/VKruIb64uR9C3AN8OKkbNOt5Z4raa5lUvvydRT7o3IlIm6PiFURsYbiEsZPRsRvT8pWE99Jmmuphe8EQNLCZOALkhYCvwg8PylbJ/A7ySiqK4GeiDhU5aLOKs21zPc97FwfPfXzwA3Ac0n7OcDngIsAIuIrFH+Rf0/SKDAAbM3jLzWwAnhAUoHif4pHIuLrSrGWew6luZbfl3QdxRFwx4BPZFbaOarR72RKNfqdnA/8XXIfrQe+GhH/KOlTMPF7vx34JaALOAX8bkZlnU2aa5nXe5inETEzs9TO6eYpMzObGwcNMzNLzUHDzMxSc9AwM7PUHDTMzCw1Bw0zM0vNQcPMzFL7/2buui1ZredrAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXoAAAD4CAYAAADiry33AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8rg+JYAAAACXBIWXMAAAsTAAALEwEAmpwYAAAeQUlEQVR4nO3de5Bb53nf8e+zwGLvN+4uVxQvWtmiJFO+m5av6TjW2JZbR0wm0khy6tgZdVQ3Vps2dRI502ocTaYz7kyjTGO1tWp5oipxJUeuM7RDR7YrZWynNi1SlixTV0okxTv3gr2Cu9jL0z9wsFyC2MXBLoADYH+fGQ6Bc84Czxlwf3j5vud9j7k7IiJSvxqiLkBERMpLQS8iUucU9CIidU5BLyJS5xT0IiJ1Lh51Abn6+vp8cHAw6jJERGrKwYMHh929P9++qgv6wcFBDhw4EHUZIiI1xcyOrbRPXTciInVOQS8iUucU9CIidU5BLyJS5xT0IiJ1TkEvIlLnFPQiInVOQS9V7UQyxTcPnmBxUctpi6xV1U2YEslyd/7do8/w1NEk//fFs9z/yXdiZlGXJVJz1KKXqvXkS+d46miSt2ztYt9zZ3h1aDrqkkRqkoJeqta3nz1NX3uCv7j9HQA8+eK5iCsSqU0KeqlaT7+e5F1X9DDY18bVA+08+ZKCXmQtFPRSlYanZjk2kuJdV/QA8KvXbOZnR0aZmVuIuDKR2qOgl6r09LEkAO/ckQn6N2/tYn7ReU399CJFU9BLVXrm+BiNMePNW7sAuHqgA4BXzk1GWZZITVLQS1V6dWiKK3rbaG6MAXBlXxvxBuPlswp6kWIp6KUqHRmeZrC3bel5It7AYF8bL5+dirAqkdqkoJeqs7joHBtJ8Yb+tou2Xz3Qzitq0YsUTUEvVef0xAyz84sXtegBdm7u4NhoSlfeiBRJQS9V50hwZc1gX+tF23dsasUdTo/PRFGWSM1S0EvVOTKSCfor+y5u0W/taQHgZPJ8xWsSqWUKeqk6x4anaW5sYKCj+aLtW7szQX8imYqiLJGapaCXqnNq/DyXd7fQ0HDxSpVbupqJNRgnx9SiFymGgl6qzunxGS7varlkezzWwGWdzeq6ESmSgl6qzumxGS7ras67b2t3CycU9CJFUdBLVZlfWOTc5AxbVgr6nhZ13YgUSUEvVeXc5CyLDlvydN0AbOtp4fT4eeYXFitcmUjtUtBLVcleI79Si/6yrmYWHYan0pUsS6SmKeilqpzJBn13/qDfHFxyeXZCk6ZEwlLQS1U5PZ7pf9/Smb/rZnNHE5Dp4hGRcBT0UlVOj8/Q0hijsyWed//mzmzQq0UvEpaCXqrKuclZBjqbMLO8+/vamzCDsxNq0YuEpaCXqjI0OUN/0D2TT2Osgd62BENq0YuEpqCXqjI8laavfeWgB+jvaOacWvQioYUKejO70cxeMrPDZnZ3nv1NZvZosH+/mQ3m7N9hZlNm9vkS1S11amhydtUWPWQGZDUYKxJewaA3sxhwP/BxYBdwu5ntyjnsDiDp7lcB9wFfytn/Z8B311+u1LPZ+QXGz8/RX6BFP9DZpMsrRYoQpkV/PXDY3V9z9zTwCLAn55g9wEPB48eAGywYTTOzXweOAIdKUrHUrZFgElRfwRZ9M8NTsywseiXKEql5YYJ+K3B82fMTwba8x7j7PDAO9JpZO/BHwJ+s9gZmdqeZHTCzA0NDQ2FrlzozFHTHFGrR93c0seiQTGl2rEgY5R6M/SJwn7tPrXaQuz/g7rvdfXd/f3+ZS5JqtRT0BVr0m9oSAIxOK+hFwsg/K+ViJ4Hty55vC7blO+aEmcWBLmAEeA9ws5n9Z6AbWDSzGXf/8noLl/ozNJUJ+kJdN71B0I9MpWGg7GWJ1LwwQf8UsNPMriQT6LcBn8w5Zi/waeAnwM3AE+7uwK9kDzCzLwJTCnlZyXDQou9rT6x6XI9a9CJFKRj07j5vZncBjwMx4GvufsjM7gUOuPte4EHgYTM7DIyS+TIQKcrQ1CydzXGa4rFVj+tdCnpdYikSRpgWPe6+D9iXs+2eZY9ngFsKvMYX11CfbCAjISZLwYUW/Yha9CKhaGasVI2R6dmlgdbVNMYa6GyOq+tGJCQFvVSN0el0qKAH6G1vUtCLhKSgl6oxOp2mt8BAbNamtoSCXiQkBb1UhcVFJ5maC92iV9CLhKegl6owfn6OhUVnU1vhwVjIXHmjwViRcBT0UhWyod1bRIs+OZ0mM11DRFajoJeqkO2GKabrZn7RmTg/X86yROqCgl6qQnbyU/irbrLX0mvSlEghCnqpCktdN6Gvusn05WsFS5HCFPRSFUaniuy6aV22sJmIrEpBL1VhZDpNe1PhdW6yNrVrYTORsBT0UhWSqfCzYmHZUsUKepGCFPRSFZKpOXpaG0Mf39wYozURU4teJAQFvVSFsVSa7tbwLXrQ7FiRsBT0UhWSqXRRLXrQ7FiRsBT0UhXGpufW2KLXdfQihSjoJXJzC4tMzs7TU3TQN5GcnitTVSL1Q0EvkRtLZcK6p63Irpv2hGbGioSgoJfIjQWzW9fSdTMzt0gqrfVuRFajoJfIJbMt+iIHY7OzY3XljcjqFPQSuex6NcX20XcHXwzZrh8RyU9BL5G70HVTXIu+J5gdq4XNRFanoJfIXei6Ka5Fn+3qSapFL7IqBb1ELplKk4g10JoIt6BZVnbwdkwtepFVKeglcsnpNN2tjZhZUT/X3ZJp0WswVmR1CnqJXGZBs+K6bQDisQY6muMajBUpQEEvkcssaFbcQGzWpraEBmNFClDQS+TW2qKHTD+9BmNFVqegl8iNpdJLl0oWq6e1UYOxIgUo6CVS7s5YkTcdWa6nVV03IoUo6CVSk7PzzC/6OrpuGhnTCpYiq1LQS6SyIb3Wwdie1gSTs/PMLSyWsiyRuqKgl0itdZ2brAuzY9V9I7KSUEFvZjea2UtmdtjM7s6zv8nMHg327zezwWD79Wb2TPDnWTP7jRLXLzVuKeiLXIs+68LsWHXfiKykYNCbWQy4H/g4sAu43cx25Rx2B5B096uA+4AvBdt/Cex297cDNwJfMbN4iWqXOpAN6GLXos/K/k8gqdmxIisK06K/Hjjs7q+5exp4BNiTc8we4KHg8WPADWZm7p5y9+xdIZoBL0XRUj/W23XTrYXNRAoKE/RbgePLnp8ItuU9Jgj2caAXwMzeY2aHgOeAzy4L/iVmdqeZHTCzA0NDQ8WfhdSsZGoOM+hqWfvMWNDCZiKrKftgrLvvd/frgHcDXzCz5jzHPODuu919d39/f7lLkioylkrT2dxIrKG4Bc2ylrpu1KIXWVGYoD8JbF/2fFuwLe8xQR98FzCy/AB3fwGYAt681mKl/iTXMVkKoCURoyneoBa9yCrCBP1TwE4zu9LMEsBtwN6cY/YCnw4e3ww84e4e/EwcwMyuAK4FjpakcqkLmQXN1tY/n6XZsSKrK3gFjLvPm9ldwONADPiaux8ys3uBA+6+F3gQeNjMDgOjZL4MAD4I3G1mc8Ai8LvuPlyOE5HalEyl6W9vWtdrdLc2qutGZBWhLnV0933Avpxt9yx7PAPckufnHgYeXmeNUseS03NcvbljXa/R05rQ5ZUiq9DMWIlUSbpu2hrVdSOyCgW9RCY9v8h0emFdg7GQmWylmbEiK1PQS2SyV8p0r3Et+qye1kbGzs/hrvl4Ivko6CUy2QHU9bboe1oTLCw6EzOXzMUTERT0EqH1Ln+Q1dOq2bEiq1HQS2SWum7W26Jv03o3IqtR0EtkLnTdrK9F3720DIJa9CL5KOglMqXuutG19CL5KeglMmOpOZriDbQkYut6nR4tVSyyKgW9RCY5nV53ax6gs7mRBtNgrMhKFPQSmWRqbt0DsQANDUZXi2bHiqxEQS+RGUuVpkUP2RUs1XUjko+CXiKTTKXXfFPwXN2tjeq6EVmBgl4iM5aaW/eCZlmb2hIkp9WiF8lHQS+RcHfGzq/v7lLLZRY2U4teJB8FvURiYmaehUUvYR+9bj4ishIFvUTiwvIHpQn67tYE5+cWmJlbKMnridQTBb1EolQrV2b1aBkEkRUp6CUSyRK36Jdmx2pAVuQSCnqJxNjSOjelG4xd/roicoGCXiKRbXmXbDBWSxWLrEhBL5EYS6Uxg84W9dGLlJuCXiKRTM3R1dJIrMFK8nrZNXPUdSNyKQW9RCJZwnVuAJriMdoSMXXdiOShoJdIjJVo5crlulsTuvmISB4KeolEqVv0kBmQVR+9yKUU9BKJcrTotVSxSH4KeolEOVr0WthMJD8FvVTc7PwCqfRCySZLZWlhM5H8FPRScWNBGJdq+YOs7tYEEzNzLCx6SV9XpNYp6KXikkvLH5R4MLa1EXcYP69WvchyCnqpuAvLH5R+MBY0O1Ykl4JeKq7Ua9FnaXasSH6hgt7MbjSzl8zssJndnWd/k5k9Guzfb2aDwfaPmNlBM3su+PvDJa5fatDSWvQlujF41qa2zBfHqJYqFrlIwaA3sxhwP/BxYBdwu5ntyjnsDiDp7lcB9wFfCrYPA7/m7m8BPg08XKrCpXaVr49eXTci+YRp0V8PHHb319w9DTwC7Mk5Zg/wUPD4MeAGMzN3/7m7nwq2HwJazKypFIVL7RpLpWlubKC5MVbS11XXjUh+YYJ+K3B82fMTwba8x7j7PDAO9OYc85vA0+4+m/sGZnanmR0wswNDQ0Nha5calUzNlbw1D9DeFCfeYLqWXiRHRQZjzew6Mt05/zLffnd/wN13u/vu/v7+SpQkERpLpUs+EAtgZpodK5JHmKA/CWxf9nxbsC3vMWYWB7qAkeD5NuBbwG+7+6vrLVhq3/BUmr720gc9BLNjNRgrcpEwQf8UsNPMrjSzBHAbsDfnmL1kBlsBbgaecHc3s27g74C73f0fS1Sz1LjR6TR97eUZqsksbKYWvchyBYM+6HO/C3gceAH4hrsfMrN7zeym4LAHgV4zOwz8PpC9BPMu4CrgHjN7JvizueRnITVlZGp26VLIUutubVxaYkFEMuJhDnL3fcC+nG33LHs8A9yS5+f+FPjTddYodeR8eoHp9AK9Zeu6SfDM8bGyvLZIrdLMWKmokenMRVd9beXpuukObj7iroXNRLIU9FJRI1OZ/vNyteg3tSaYW3Cm0wtleX2RWqSgl4rKtuh7yzgYC+jesSLLKOilooazLfoyDcZeWO9GQS+SpaCXiip3101fR+Z/CkOTl0zAFtmwFPRSUaPTs7Q0xmhNhLrgq2jZiVjDUwp6kSwFvVTUyFS6bK15YGkiloJe5AIFvVTU8HS6bAOxAM2NMTqa4ktjASKioJcKG5mapa9MA7FZfR1NDKlFL7JEQS8VNTKVLtvyB1l97QmGNRgrskRBLxXj7oxMz5a16wYy/fTqoxe5QEEvFTMxM8/cgpdtieKsTNCrj14kS0EvFTMylZ0VW/6gHz8/R3p+sazvI1IrFPRSMSPT2VmxZe666UgE76fuGxFQ0EsFlXtWbNbStfST6r4RAQW9VNDSgmZlbtH3d2jSlMhyCnqpmGyLvtyXV/YHLXpdSy+SoaCXihmZmqWzOU4iXt5/dloGQeRiCnqpmOEy3hR8uZZEjLZETH30IgEFvVTM0ORs2Qdis/o6NGlKJEtBLxUzNDnL5s7miryXZseKXKCgl4o5NzHD5o7yd91AsN6Ngl4EUNBLhUzNzjOdXmBzRyVb9OqjFwEFvVTIuYkZAAY6K9WibyKZSjO3oGUQRBT0UhHngmWDK9ai72jCXTcJFwEFvVRINugr1aJfmjSldelFFPRSGdmum0q16LNfKGeD9xXZyBT0UhHnJmdJxBvobIlX5P22dLUAcHpcQS+ioJeKODcxw0BnE2ZWkffra0/QYGrRi4CCXirk7MRsxbptAOKxBvo7mjijFr2Igl4q4/T4ebZ0VS7oAS7rbOaMWvQiCnopP3fn9PhM5YO+q1ktehEU9FIBydQcs/OLSwOklaIWvUhGqKA3sxvN7CUzO2xmd+fZ32Rmjwb795vZYLC918yeNLMpM/tyiWuXGnFq7DwAl3dXtkU/0NXM5Mw807PzFX1fkWpTMOjNLAbcD3wc2AXcbma7cg67A0i6+1XAfcCXgu0zwH8EPl+yiqXmZC9xjKJFD6hVLxtemBb99cBhd3/N3dPAI8CenGP2AA8Fjx8DbjAzc/dpd/8xmcCXDerMeKZFX+k++qVr6cf0z082tjBBvxU4vuz5iWBb3mPcfR4YB3pLUaDUvlPjMzTGrCJ3l1puW08m6E+OpSr6viLVpioGY83sTjM7YGYHhoaGoi5HSuz02HkGOptpaKjMZKmsy7qaaTA4kTxf0fcVqTZhgv4ksH3Z823BtrzHmFkc6AJGwhbh7g+4+253393f3x/2x6RGnBqf4fIK988DNMYauKyzmZMKetngwgT9U8BOM7vSzBLAbcDenGP2Ap8OHt8MPOHuXroypZadGE2xbVPlgx5ga08LJ8YU9LKxFVxhyt3nzewu4HEgBnzN3Q+Z2b3AAXffCzwIPGxmh4FRMl8GAJjZUaATSJjZrwMfdffnS34mUpVm5xc4PTHD9p7WSN5/a3cLTx1NRvLeItUi1FKC7r4P2Jez7Z5lj2eAW1b42cF11Cc17tTYDO6wfVNEQd/Twrd/cZr5hUXisaoYkhKpOP3Ll7I6Ppq54mV7T0RdN92tLCw6Z3UDEtnAFPRSVseTQdBH1KLfHowNvD6iSyxl41LQS1kdHz1PY8wY6KzsZKmswd42AF4fnY7k/UWqgYJeyur4aIqt3S3EKnwNfdaWrmYaY8aRYbXoZeNS0EtZHRudjqzbBjI3INm+qZVjI2rRy8aloJeycXeODE3zxv72SOsY7G3jqProZQNT0EvZnJ2YZTq9wBv62yKtY7C3jWMj02gOn2xUCnopm9eGpgB4Q1/ELfq+VlLpBYZ0iaVsUAp6KZtXhzP94tXQogd4bVj99LIxKeilbI4MTdPSGFu6AUhUdg5k/kfxytnJSOsQiYqCXsrmteEpruxrq/jyxLku62ymoynOy2enIq1DJCoKeimbl89MLrWmo2Rm7Bxo52W16GWDUtBLWYyn5jg1PsObtnRGXQoAVw908PLZSV15IxuSgl7K4oUzEwBce1lHxJVk7BzoIJmaY3gqHXUpIhWnoJeyePF0Juh3VUmL/pqBzBfOS2fUfSMbj4JeyuLFM5NsakvQ31HZG4Kv5LrLM184z50cj7gSkcpT0EtZHDo1wZu2dGAW7RU3WT1tCXZsauW5k2NRlyJScQp6KbmZuQVeOD3B27Z1R13KRd6yrYtfnFCLXjYeBb2U3HMnx5lfdN65oyfqUi7y1q1dnEieZ3RaA7KysSjopeR+/nrmZtxv39EdbSE53rKtC4Bnj49FW4hIhSnopeSePjbGjk2t9LVXx0Bs1ju299AYM356ZCTqUkQqSkEvJbW46Pzs6Ci7r6iubhuAlkSMt2/v5qevjUZdikhFKeilpJ4/PcHodJpfubov6lLyet8bevnlyXEmZ+aiLkWkYhT0UlI/fGUIgA9cVZ1B/9439LKw6OxXq142EAW9lNQPXx7iTVs62dwR7dLEK9k9uImOpjg/eOFs1KWIVIyCXkpmaHKWnx0Z5YZrN0ddyooS8QY+dO1mfvDCWRYWtcCZbAwKeimZv//laRYdfu1tl0ddyqo+umuA4ak0B46q+0Y2BgW9lMzeZ0+xc3M711TJipUr+fC1m2lLxPjGgRNRlyJSEQp6KYlDp8Z56miSW3Zvi7qUgtqa4tz09q383XOnGD+vq2+k/inopSS+9uOjtCZi3Lp7R9SlhPJb79nBzNwiX9//etSliJSdgl7W7ZWzk/ztMye59d3b6WptjLqcUN68tYsPXdPPV374qq6pl7qnoJd1cXfu/c7ztCZi/OsP74y6nKL8/keuZiw1x3/53stRlyJSVgp6WZev/ugIP3plmD/42DVsaktEXU5R3rqtm8+8f5C//H9H+YeXzkVdjkjZKOhlzR47eIL/9N0X+Nh1A3zqvVdEXc6a/OGN1/CmLZ187q+f1uWWUrdCBb2Z3WhmL5nZYTO7O8/+JjN7NNi/38wGl+37QrD9JTP7WAlrl4iMTM3yx996js//zbO8/429/Pmt76iaO0kVqzUR5y9/591s7mzmk/9zP//tHw4zM7cQdVkiJWXuq88ONLMY8DLwEeAE8BRwu7s/v+yY3wXe6u6fNbPbgN9w91vNbBfwv4HrgcuBHwBXu/uKv0m7d+/2AwcOrPO0pFRm5xcYPz/H6yMpXj47xT++OswPnj/L3MIid3zwSv7gY9eSiNf+fwzHUmn+6Ju/4PFDZ9nUluCGazfzgav6uHqgg609LXQ2x2v2y0w2BjM76O678+2Lh/j564HD7v5a8GKPAHuA55cdswf4YvD4MeDLlvmt2AM84u6zwBEzOxy83k/WciKrefHMBHd9/edLz/N9gV2yxVffn/sa+b4Sc9/Gc466ZH+IWfeF3rfY9wzzGrlHuMN0ep6ZucWLtve1N3HL7m185v2DXLW5uidGFaO7NcFXPrWbn7w6wl/tP8b3nj/L3xy8MKHKDNoScVoTMeINhplhBg3L/w6O0xeCrNWHru7nP3xiV8lfN0zQbwWOL3t+AnjPSse4+7yZjQO9wfaf5vzs1tw3MLM7gTsBduxY23XYzfEY1wzkBE+e37fcTbm/lJfuL/iSBV8jd4PlbMiXC4XrWP018mdNgZ/JObqtKU5XSyOdzXG29bRy1eZ2tvW01HWQve+NvbzvjZkVLl88M8GxkRQnkikmZ+aZnl0glZ5nftFxz3whO7DomefZv0XWakt3S1leN0zQl527PwA8AJmum7W8xmBfG/f/1jtLWpdsXLEG47rLu7ju8q6oSxFZtzCdqyeB7cuebwu25T3GzOJAFzAS8mdFRKSMwgT9U8BOM7vSzBLAbcDenGP2Ap8OHt8MPOGZjua9wG3BVTlXAjuBn5WmdBERCaNg103Q534X8DgQA77m7ofM7F7ggLvvBR4EHg4GW0fJfBkQHPcNMgO388DnVrviRkRESq/g5ZWVpssrRUSKt9rllbV/AbSIiKxKQS8iUucU9CIidU5BLyJS56puMNbMhoBj63iJPmC4ROVEqV7OA3Qu1ahezgN0LllXuHt/vh1VF/TrZWYHVhp5riX1ch6gc6lG9XIeoHMJQ103IiJ1TkEvIlLn6jHoH4i6gBKpl/MAnUs1qpfzAJ1LQXXXRy8iIherxxa9iIgso6AXEalzNRf0ZrbdzJ40s+fN7JCZ/V6eYz5kZuNm9kzw554oai3EzJrN7Gdm9mxwLn+S55gVb7xeTUKey2fMbGjZ5/Ivoqg1DDOLmdnPzew7efbVxGeSVeBcaukzOWpmzwV1XrLyoWX81+Bz+YWZVe2diEKcS0kzrCruMFWkeeDfu/vTZtYBHDSz7y+/WXngR+7+iQjqK8Ys8GF3nzKzRuDHZvZdd19++8U7gKS7XxXceP1LwK1RFFtAmHMBeNTd74qgvmL9HvAC0JlnX618JlmrnQvUzmcC8KvuvtKEoo+TuefFTjK3O/3vXHrb02qy2rlACTOs5lr07n7a3Z8OHk+S+Qd8yX1oa4FnTAVPG4M/uaPje4CHgsePATdYFd60NeS51AQz2wb8M+CrKxxSE58JhDqXerIH+F/Bv8WfAt1mtiXqoqpBzQX9csF/md8B7M+z+31BN8J3zey6ylYWXvDf6meAc8D33T33XC668TqQvfF61QlxLgC/Gfy3+jEz255nfzX4c+APgcUV9tfMZ0Lhc4Ha+Ewg03D4npkdNLM78+xf+lwCJ6jeRmChc4ESZljNBr2ZtQPfBP6tu0/k7H6azLoPbwP+AvjbCpcXmrsvuPvbydxP93oze3PEJa1ZiHP5NjDo7m8Fvs+FVnHVMLNPAOfc/WDUtaxXyHOp+s9kmQ+6+zvJdNF8zsz+SdQFrUOhcylphtVk0Ad9wN8E/trd/0/ufnefyHYjuPs+oNHM+ipcZlHcfQx4ErgxZ9dKN16vWiudi7uPuPts8PSrwLsqXFoYHwBuMrOjwCPAh83sr3KOqZXPpOC51MhnAoC7nwz+Pgd8C7g+55ClzyWwLdhWdQqdS6kzrOaCPugLfRB4wd3/bIVjLsv2mZrZ9WTOs+p+Ec2s38y6g8ctwEeAF3MOW+nG61UlzLnk9JfeRGZ8paq4+xfcfZu7D5K59/ET7v7Pcw6ric8kzLnUwmcCYGZtwcUXmFkb8FHglzmH7QV+O7j65r3AuLufrnCpBYU5l1JnWC1edfMB4FPAc0F/MMAfAzsA3P1/kPnl+1dmNg+cB26rxl9EYAvwkJnFyHyQ33D371iIG69XoTDn8m/M7CYyV06NAp+JrNoi1ehnkleNfiYDwLeC7IsDX3f3vzezz8LS7/0+4J8Ch4EU8DsR1VpImHMpaYZpCQQRkTpXc103IiJSHAW9iEidU9CLiNQ5Bb2ISJ1T0IuI1DkFvYhInVPQi4jUuf8PWDu6zcl+ZKEAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXoAAAD4CAYAAADiry33AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8rg+JYAAAACXBIWXMAAAsTAAALEwEAmpwYAAAeSElEQVR4nO3dfZRcd33f8fd3Z3f2+XlXK3kleYUtbAuHmFgRpRBCcKAmpVY4mGKSFkKdOjT4NDk0bU1P6wKHf+g5hZwGTlsfTI/jJrWpU4oIojzUpA0cYntlTI0sbNa2ZD1Z2ufn3dmHb/+YO6v1alZzZ+beedLndY6OZu79zczvaqTP/vS9v/u75u6IiEjtqit3B0REJF4KehGRGqegFxGpcQp6EZEap6AXEalx9eXuwFZ9fX0+NDRU7m6IiFSVY8eOjbl7f7Z9FRf0Q0NDDA8Pl7sbIiJVxcxObbdPpRsRkRqnoBcRqXEKehGRGqegFxGpcQp6EZEap6AXEalxCnoRkRqnoBeRsvjhyBh/9fxFtFR6/CrugikRqX2T8yn+8Z8Os5Ba4/fe/jo++Rs3lbtLNU0jehEpuYd+dJKF1Bq37OnikadOs7K2Xu4u1TQFvYiU3H8fPsM7bujnY796HdOLKzz18kS5u1TTFPQiUlIXZ5c4O7XI267v4+2v76Oxvo7vPHeh3N2qaQp6ESmpn5yeBuCWPV20JOv55aEejp2aLHOvapuCXkRK6pnTk9TXGTcPdgJww852Xrgwy9q6Zt/ERUEvIiX1zOkpbtzVTlNDAkgH/fLqOqfG58vcs9qloBeRknr+1VnesKtz4/mNO9s3tks8FPQiUjKzSyuMzaUY6mvd2LZ/Rztm8DMFfWwU9CJSMqfGFwAY6m3Z2NacTDDU28oLFxT0cVHQi0jJbAT9phE9wL6+1o19Ej0FvYiUzMnghOu1m0b0ALu7mzkzqaCPi4JeRErm5Ng8O9obaUm+dpmt3d3NzCytMr24Uqae1TYFvYiUzKnxBYZ6Wy/bvrs7PcI/O7lY6i5dFRT0IlIyr0wssKen5bLtu7ubAVS+iYmCXkRKYnVtnYuzS1zT1XTZvsyI/oxG9LFQ0ItISYzNpVh32Nl5edB3tzTQkkwo6GOioBeRkjg/nQ7xXVmC3szY3d3MaZVuYqGgF5GSeHV6CYCdHc1Z9+/qbObCzFIpu3TVUNCLSEmcD4I+24geYKCjUUEfEwW9iJTEqzNLJOvr6GppyLp/oKOJsbmUliuOgYJeREri/PQSuzqbMLOs+3e0N7K27ozPL5e4Z7VPQS8iJXFheomdHdnLNgA7gn0XZxT0UVPQi0hJnJ9ZzDq1MmMgE/SzqtNHTUEvIrFzd0Znl9nR3rhtm8y+CxrRR05BLyKxm0+tsbSyTv8Vgr5/I+g1oo9aqKA3s9vN7HkzGzGz+7LsbzSzR4P9T5jZ0Jb9e81szsz+KKJ+i0gVGZ1Nj9L72rYP+oZEHX1tSS7OakQftZxBb2YJ4EvAe4ADwIfM7MCWZncDk+5+PfAF4HNb9n8e+Fbx3RWRajQ2lzvoAfrbm7ioEX3kwozoDwEj7v6Su6eAR4DDW9ocBh4KHj8G3GbBHCoz+03gZeB4JD0WkaqTGdFfqXST2T+qEX3kwgT9IHB60/Mzwbasbdx9FZgGes2sDfiXwKev9AFmdo+ZDZvZ8OjoaNi+i0iVCDui721NMj6fKkWXripxn4z9FPAFd5+7UiN3f8DdD7r7wf7+/pi7JCKlNja7TJ1BT2vyiu16WpNMKOgjV5+7CWeBPZue7w62ZWtzxszqgU5gHHgzcKeZ/TugC1g3syV3/2KxHReR6jE6t0xPayOJuuxXxWb0tCZZSK2xtLJGU0OiRL2rfWGC/ilgv5ntIx3odwG/taXNEeAjwI+AO4HH3d2BX8k0MLNPAXMKeZGrz+hsKmd9HtKlG4Dx+RSDXdlXuZT85SzdBDX3e4FvAyeAr7r7cTP7jJndETR7kHRNfgT4BHDZFEwRuXqNzi3T13blsg1cKu1MzKl8E6UwI3rc/ShwdMu2+zc9XgI+kOM9PlVA/0SkBozNLnNd3+U3Bd+qty0zotfMmyjpylgRid3EfGojxK+kp7Vxo71ER0EvIrFaTK2xuLK2EeJXslG6UdBHSkEvIrHKlGF6WrPfcGSzjqZ6GhLGmGr0kVLQi0isMqPzMCN6Mwvm0qtGHyUFvYjEanwj6HPX6NPtGlW6iZiCXkRiNRmEdm/IoNcyCNFT0ItIrDKj8+7QI3otgxA1Bb2IxGp8PkVDwuhoCnXZTjrodTI2Ugp6EYnVxFyK7pYkwcrlOfW2JpldXmV5dS3mnl09FPQiEqvx+VToE7EAPcGFVZPzK3F16aqjoBeRWE3ML4e6Kjbj0sJmmmIZFQW9iMRqcmGF7pY8RvRaBiFyCnoRidX43HJ+pRstgxA5Bb2IxGZt3ZlZWqUrjxH9RulGM28io6AXkdhML6ZPqHa35F7nJqOzuYFEnWlEHyEFvYjEZnIhuFgqjxF9XZ3R3dKgq2MjpKAXkdhMBUHflceIHtJ1+vE5zbqJioJeRGKTmQufz4getAxC1BT0IhKbqaBGX8iIPlP2keIp6EUkNpdKN/mN6Ltakkwt6MrYqCjoRSQ2kwspEnXhFzTL6G5pYGpxBXePqWdXFwW9iMRmcmGFruaG0AuaZXS3JDfm4EvxFPQiEpuphVTe9Xm4VOqZUp0+Egp6EYnN5Hx+69xkZC6w0sybaCjoRSQ2U4srRY7odUI2Cgp6EYlNunST/4g+s7CZplhGQ0EvIrGZXEjltc5NRuY1kxrRR0JBLyKxWFpZY2llvaARfUdTA3Wmk7FRUdCLSCwKWdAso67O6GxuUOkmIgp6EYlF5kRqISdjIf0DQqWbaCjoRSQWkwWuXJnR1dKg0k1EFPQiEovMiL6Q0k3mdZnVL6U4CnoRiUUxNXrILGymEX0UQgW9md1uZs+b2YiZ3Zdlf6OZPRrsf8LMhoLth8zsmeDXT8zsfRH3X0QqVPE1+gbV6COSM+jNLAF8CXgPcAD4kJkd2NLsbmDS3a8HvgB8Ltj+U+Cgu98C3A78ZzPLbxk7EalKk/MpmhsSNDUkCnp9d2uSxZU1llbWIu7Z1SfMiP4QMOLuL7l7CngEOLylzWHgoeDxY8BtZmbuvuDumeXnmgCtOSpylSh0+YOMro2LplS+KVaYoB8ETm96fibYlrVNEOzTQC+Amb3ZzI4DzwIf2xT8G8zsHjMbNrPh0dHR/I9CRCpOocsfZGRq+zohW7zYT8a6+xPu/gbgl4FPmllTljYPuPtBdz/Y398fd5dEpAQmF1YKWv4go1tLFUcmTNCfBfZser472Ja1TVCD7wTGNzdw9xPAHHBzoZ0VkeqRXuemiBF9q9a7iUqYoH8K2G9m+8wsCdwFHNnS5gjwkeDxncDj7u7Ba+oBzOxa4EbgZCQ9F5GKNrVQXI1+o3SjEX3Rcs6AcfdVM7sX+DaQAL7i7sfN7DPAsLsfAR4EHjazEWCC9A8DgLcB95nZCrAO/L67j8VxICJSOdbXveC7S2VkXqvSTfFCTXV096PA0S3b7t/0eAn4QJbXPQw8XGQfRaTKzC6vsu6FXywF0FifoCWZUOkmAroyVkQiN7Wxzk3hQQ+Zhc00oi+Wgl5EIje5sc5N4aUbyCxsphF9sRT0IhK5SY3oK4qCXkQiN60RfUVR0ItI5DSirywKehGJ3OTCCmbQ2VzciL67pYHpxRXW1rVMVjEU9CISuamFFB1NDSTqrKj36WpJ4g7TiyrfFENBLyKRK3adm4yeVl0dGwUFvYhErtiVKzN0dWw0FPQiErli17nJ0FLF0VDQi0jkil25MkMLm0VDQS8ikYtqRN/VmindaERfDAW9iEQqtbrO3PJqJCP69sZ66utMI/oiKehFJFKZE6fdrcUHvZnR1dKgFSyLpKAXkUhFtaBZRldLUrNuiqSgF5FIZcosUZRu0u/ToNJNkRT0IhKpyflog76rJanplUVS0ItIpDZKN63RlG40oi+egl5EIhV96SbJ1MIK7lrYrFAKehGJ1NRCiuaGBE0NiUjer7s1SWptnYXUWiTvdzVS0ItIpCbmo1nQLCPzXirfFE5BLyKRimpBs4zMe+nq2MIp6EUkUpMLqchOxILWu4mCgl5EIpVeiz66Ef2l0o1G9IVS0ItIpKJauTLjUulGI/pCKehFJDJr6870YrQnYzOrYOqiqcIp6EUkMtOLK7hHs6BZRkOijvbGetXoi6CgF5HIRH2xVEZXa4NKN0VQ0ItIZDJhHMVNRzbrbkkyoZOxBVPQi0hkJoI6ek+EpRvQUsXFUtCLSGTiKt1oYbPiKOhFJDJxlm6mNOumYAp6EYnM5MIKDQmjrbE+0vftbkkyu7zKytp6pO97tQgV9GZ2u5k9b2YjZnZflv2NZvZosP8JMxsKtr/LzI6Z2bPB7++MuP8iUkEm59Pr3JhZpO+bWVJB690UJmfQm1kC+BLwHuAA8CEzO7Cl2d3ApLtfD3wB+FywfQz4e+7+C8BHgIej6riIVJ70VbHRlm1AV8cWK8yI/hAw4u4vuXsKeAQ4vKXNYeCh4PFjwG1mZu7+Y3c/F2w/DjSbWWMUHReRyjO5sBLpypUZWu+mOGGCfhA4ven5mWBb1jbuvgpMA71b2rwfeNrdl7d+gJndY2bDZjY8Ojoatu8iUmEm51P0xBL0WsGyGCU5GWtmbyBdzvm9bPvd/QF3P+juB/v7+0vRJRGJweTCSqRLFGdkZvGodFOYMEF/Ftiz6fnuYFvWNmZWD3QC48Hz3cDXgA+7+4vFdlhEKpO7R37TkYxLI3qVbgoRJuifAvab2T4zSwJ3AUe2tDlC+mQrwJ3A4+7uZtYFfBO4z91/GFGfRaQCzSyusrru9EZ8VSxASzJBMlGn0k2BcgZ9UHO/F/g2cAL4qrsfN7PPmNkdQbMHgV4zGwE+AWSmYN4LXA/cb2bPBL92RH4UIlJ2Y/Pp0299bdHPtzAzuloamJxX0Bci1FUN7n4UOLpl2/2bHi8BH8jyus8Cny2yjyJSBcbn0iHc2xb9iB7S5RuVbgqjK2NFJBLjc+kRfW9rPDOou1q0VHGhFPQiEomxoKzSF9OIvqdVI/pCKehFJBKZEX2Ud5farKc1ufEZkh8FvYhEYnwuvfxBQyKeWOlra2RyYYVVLWyWNwW9iERifH6Z3hhm3GT0taffe0Izb/KmoBeRSIzNpWKZQ5/RH9T+R1W+yZuCXkQiMT63HMsc+ozM/xbG5jSiz5eCXkQiMT6fim0OPVy6EGtsViP6fCnoRaRoK2vrTC2sxDaHHi5N2xxT6SZvCnoRKVpmaYI4R/RtjfU01tcp6AugoBeRomXq5nFdLAXp9W762ho3llqQ8BT0IlK08WBBszinV0J6iqVm3eRPQS8iRdtY0CzG6ZWQnmKpWTf5U9CLSNEydfO4R/S9rY2q0RdAQS8iRRufT9GQMDqaQq18XrC+9iQT8ynW1z3Wz6k1CnoRKdr43DK9rY2YWayf09fWyNq6605TeVLQi0jRxufivVgqI3PR1LjWu8mLgl5EijY2n4q9Pg+6OrZQCnoRKdr43DJ9Mc+4Aehv18JmhVDQi0jRSl260RTL/CjoRaQo88urLK6slaR009ncQH2daYplnhT0IlKUCzNLAAx0xB/0ZkZvW1I1+jwp6EWkKBdm0qE70N5Uks/ra9NFU/lS0ItIUS7Opkf0O0owood00Gt6ZX4U9CJSlIvBiH5HR+lG9KMq3eRFQS8iRbk4u0RTQx3tjfEuf5Ax0JEOei2DEJ6CXkSKcmFmmYGOptiXP8jY2dnE6rozNq9RfVgKehEpysXZpZKdiAUYCEpEF6YV9GEp6EWkKBdnlukv0YlYgJ1B0L8aTOuU3BT0IlKUi7PLJR3R7+xU0OdLQS8iBZtbXmVuebUkF0tl9LU1kqgzLkwr6MNS0ItIwc5PLQKwq6u5ZJ+ZqDP62xo1os+Dgl5ECnYuGFVf01m60g3AQGfTxtILkluooDez283seTMbMbP7suxvNLNHg/1PmNlQsL3XzL5vZnNm9sWI+y4iZXauDCN6gJ0djQr6POQMejNLAF8C3gMcAD5kZge2NLsbmHT364EvAJ8Lti8B/wb4o8h6LCIV4/zUInUGA+2lq9ED7Ops5vyUgj6sMCP6Q8CIu7/k7ingEeDwljaHgYeCx48Bt5mZufu8u/+AdOCLSI05N73EjvYm6hOlrQJf09XE7PIq04srJf3cahXm2xkETm96fibYlrWNu68C00BvFB0Ukcp1fnqRXV2lrc8DDHa1AJdKR3JlFXEy1szuMbNhMxseHR0td3dEJKTzU0tc01na+jzAYHf6M89OKujDCBP0Z4E9m57vDrZlbWNm9UAnMB62E+7+gLsfdPeD/f39YV8mImXk7pybXmRXiWfcAAwGJ3/PakQfSpigfwrYb2b7zCwJ3AUc2dLmCPCR4PGdwOPurqXlRGrYxHyKpZV1rinxjBuAvrYkyfo6BX1IOdcVdfdVM7sX+DaQAL7i7sfN7DPAsLsfAR4EHjazEWCC9A8DAMzsJNABJM3sN4F3u/tzkR+JiJTU6aBssqenpeSfbWYMdjWrdBNSqAWk3f0ocHTLtvs3PV4CPrDNa4eK6J+IVKhXJhYA2FuGoId0+eaMRvShVMTJWBGpPqeDoN/dXfrSDRCM6BfK8tnVRkEvIgU5PbFAX1uS1hLdWWqrvb0tjM2lmF9eLcvnVxMFvYgU5PTkQlnq8xlDva0AnBrXqD4XBb2IFOSViQX2dJcv6K/tTX/2qfH5svWhWijoRSRvq2vrnJtaKtuJWEiXbgBOakSfk4JeRPJ2ZnKRtXXfCNty6GhqoLc1ySsTGtHnoqAXkby9ODoHwHX9bWXtx7W9LZwc04g+FwW9iOTtpdH0KPq6/tay9mOot5WTqtHnpKAXkby9ODpHb2uSrpZkWfvxuv5Wzk8vaYplDgp6EcnbS6PzvK7Mo3mA63e0AzByca7MPalsCnoRyduLo3O8rq+89XmA1w+k+/DChdky96SyKehFJC+T8ynG51Nct6P8I/q9PS0kE3Ua0eegoBeRvJx4dQaAG3d2lLknUJ+o43X9rRrR56CgF5G8nDifDtWbdpU/6AH2D7TzwgWN6K9EQS8ieXnu3Ax9bY30tzeWuysA3LiznbNTi0wv6Ebh21HQi0heTpyf4aZd7eXuxoZfGOwE4Kfnpsvck8qloBeR0FbW1hm5OMeBayqjbAOXgv7Zswr67SjoRSS0E+dnSK2tc/M1neXuyobu1iSDXc0K+itQ0ItIaE+fmgTg1mu7y9yT13rj7k5+qqDfloJeREJ7+pUpdnY0cU1XeW4fuJ1f3NPFqfEFRmeXy92ViqSgF5HQnn5lsuJG8wBv3tcDwJMvT5S5J5VJQS8iobw6vcSZyUXetLer3F25zM2DnbQkEzz58ni5u1KRFPQiEsr//fkoAG+9vq/MPblcQ6KOW6/t5gmN6LNS0ItIKP/nhVF2tDdy487KmUO/2Vuu6+Vnr85yYWap3F2pOAp6Eclpbd35wc/H+JX9/ZhZubuT1a/fNADA/z5xscw9qTwKehHJ6cmXJ5heXOEdN/SXuyvb2r+jjb09LXzvxIVyd6XiKOhFJKcjPzlHSzLBbTftKHdXtmVm/PpNA/xgZIzpRa17s5mCXkSuKLW6ztFnz/OuAwO0JOvL3Z0ret+bBkmtrnPkmbPl7kpFUdCLyBV989lzTC+u8L43DZa7KzndPNjBTbs6eHT4NO5e7u5UDAW9iGzL3fnyX7/M9TvaePv+yq3PZ5gZv/3mvfz07Aw/elFz6jMU9CKyre8+d4Hj52b43bfto66uMmfbbHXnrbsZ6Gjkj7/3c43qAwp6EclqaWWNz37zBPt3tPH+W3eXuzuhNTUkuPed+3ny5ARff+ZcubtTERT0IpLVv/36cV6ZWODTd7yBhkR1RcVvHdrLm/Z28alvHOfU+Hy5u1N21fXtiUjs3J1//53neXT4NB//tev42xW45EEuiTrj83//FgA++l+e4uzUYnk7VGahgt7Mbjez581sxMzuy7K/0cweDfY/YWZDm/Z9Mtj+vJn9nQj7LiIROz2xwD0PH+NPHh/hgwf38Il33VDuLhVsX18rX/7wQUbnljn8xR/wjZ+cY3396qzZW66TFWaWAF4A3gWcAZ4CPuTuz21q8/vAG939Y2Z2F/A+d/+gmR0A/htwCLgG+B7wendf2+7zDh486MPDw0Uelojksry6xvhcivPTizxzepofvTjGXz0/Sl2d8c/ffQN3V9EJ2Cv5+YVZ/vDRZzh+boZre1u47cYB3nJdL/v6Whnsaqapoa5il3XIh5kdc/eD2faFufrhEDDi7i8Fb/YIcBh4blObw8CngsePAV+09J/cYeARd18GXjazkeD9flTIgVzJz16d4d4///G2+8Ocfc/ZIkeDXK/P1Yfcr8/1+SGOMdd7FDngqYpjLPL1ud6h+M8v/u9qrrdYW3fmlldfs22wq5mPvnWIf/S2fezqrKwbixRj/0A7X//4W/nms+d57NgZ/uyJU3zlhy9v7K+vM1qSCVqS9SSCH2x1dWAYdZaesmkGBrH/QHjH6/v51+89EPn7hgn6QeD0pudngDdv18bdV81sGugNtv/NltdedtWFmd0D3AOwd+/esH1/jab6BDcM5FhVL8R3lKtJri869+vL+/lhGlmOBsUfQ3GfH+o9cr5FDRxjztdv36LOjJ7WBnrbGtnR3sjNg50MdDTl7FO1qk/UcfiWQQ7fMsjSyhrHz03zysQC56eXmFtaZSG1xkJqlXWHdXcIfndg3dM/fEsxU3NXTHfuqojrmd39AeABSJduCnmPob5WvvTbvxRpv0Sk9jQ1JLj12h5uvban3F0pmTAnY88CezY93x1sy9rGzOqBTmA85GtFRCRGYYL+KWC/me0zsyRwF3BkS5sjwEeCx3cCj3u60HgEuCuYlbMP2A88GU3XRUQkjJylm6Dmfi/wbSABfMXdj5vZZ4Bhdz8CPAg8HJxsnSD9w4Cg3VdJn7hdBT5+pRk3IiISvZzTK0tN0ytFRPJ3pemVujJWRKTGKehFRGqcgl5EpMYp6EVEalzFnYw1s1HgVBFv0QeMRdSdcqqV4wAdSyWqleMAHUvGte6e9TZgFRf0xTKz4e3OPFeTWjkO0LFUolo5DtCxhKHSjYhIjVPQi4jUuFoM+gfK3YGI1MpxgI6lEtXKcYCOJaeaq9GLiMhr1eKIXkRENlHQi4jUuKoLejPbY2bfN7PnzOy4mf1BljbvMLNpM3sm+HV/Ofqai5k1mdmTZvaT4Fg+naXNtjderyQhj+V3zGx00/fyu+XoaxhmljCzH5vZX2bZVxXfSUaOY6mm7+SkmT0b9POylQ8t7T8E38v/M7OKvRNRiGOJNMMq4g5TeVoF/pm7P21m7cAxM/vu5puVB/7a3d9bhv7lYxl4p7vPmVkD8AMz+5a7b7794t3ApLtfH9x4/XPAB8vR2RzCHAvAo+5+bxn6l68/AE4AHVn2Vct3knGlY4Hq+U4Afs3dt7ug6D2k73mxn/TtTv8jl9/2tJJc6VggwgyruhG9u59396eDx7Ok/wJfdh/aauBpc8HThuDX1rPjh4GHgsePAbdZBd6yPuSxVAUz2w38XeDL2zSpiu8EQh1LLTkM/Gnwd/FvgC4z21XuTlWCqgv6zYL/Mr8JeCLL7rcEZYRvmdkbStuz8IL/Vj8DXAS+6+5bj+U1N14HMjderzghjgXg/cF/qx8zsz1Z9leCPwb+BbC+zf6q+U7IfSxQHd8JpAcO3zGzY2Z2T5b9G99L4AyVOwjMdSwQYYZVbdCbWRvwF8AfuvvMlt1Pk1734ReBPwH+Z4m7F5q7r7n7LaTvp3vIzG4uc5cKFuJYvgEMufsbge9yaVRcMczsvcBFdz9W7r4UK+SxVPx3ssnb3P2XSJdoPm5mby93h4qQ61gizbCqDPqgBvwXwJ+5+//Yut/dZzJlBHc/CjSYWV+Ju5kXd58Cvg/cvmXXdjder1jbHYu7j7v7cvD0y8CtJe5aGG8F7jCzk8AjwDvN7L9uaVMt30nOY6mS7wQAdz8b/H4R+BpwaEuTje8lsDvYVnFyHUvUGVZ1QR/UQh8ETrj757dpszNTMzWzQ6SPs+L+IZpZv5l1BY+bgXcBP9vSbLsbr1eUMMeypV56B+nzKxXF3T/p7rvdfYj0vY8fd/d/sKVZVXwnYY6lGr4TADNrDSZfYGatwLuBn25pdgT4cDD75m8B0+5+vsRdzSnMsUSdYdU46+atwD8Eng3qwQD/CtgL4O7/ifQ/vn9iZqvAInBXJf5DBHYBD5lZgvQX+VV3/0sLceP1ChTmWP6pmd1BeubUBPA7Zettnqr0O8mqSr+TAeBrQfbVA3/u7v/LzD4GG//ujwK/AYwAC8BHy9TXXMIcS6QZpiUQRERqXNWVbkREJD8KehGRGqegFxGpcQp6EZEap6AXEalxCnoRkRqnoBcRqXH/H2MlsGI3Ic4EAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from scipy.stats import norm\n", "\n", "pf_index = np.linspace(2.5, 5.5, 301)\n", "pf = np.full(301, 1./301.)\n", "e_values = [(pf_index * pf).sum()]\n", "\n", "for count in range(len(logs)):\n", " \n", " # Applying the likelihood function\n", " if count % 20 == 0:\n", "\n", " L = []\n", " for i in range(len(pf_index)):\n", " arr = norm.pdf(np.array(logs[count-20:count]), loc=pf_index[i], scale=sigma)\n", " L.append(arr.prod())\n", " L = np.array(L)\n", " pf = (5 + L) * pf\n", " # Here we add the drift, which for simplicity we call a random variable X\n", " # If you look carefully, you'll see that it's convolution\n", " new_pf = pf.copy()\n", " for i in range(pf_index.shape[0]):\n", " # i is our index\n", " t = pf_index[i]\n", " X = t - pf_index\n", " P_X = norm.pdf(X, loc=mean_gain, scale=sigma*np.sqrt(20))\n", " new_pf[i] = (pf * P_X).sum()\n", "\n", " pf = new_pf / new_pf.sum()\n", " # And then we normalize the weights so they sum to 1\n", "\n", " new_e_value = (pf*pf_index).sum()\n", " e_values.append(new_e_value)\n", " \n", " if count % 100 == 0:\n", " plt.plot(pf_index, pf)\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(16,6))\n", "plt.plot(logs)\n", "plt.plot(range(0,len(logs)+20,20), e_values)\n", "plt.plot(range(0,len(logs)+20,20), e_values+6*sigma)\n", "plt.plot(range(0,len(logs)+20,20), e_values-6*sigma)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(16,6))\n", "plt.plot(prices)\n", "plt.plot(range(0,len(logs)+20,20), np.exp(e_values))\n", "plt.plot(range(0,len(logs)+20,20), np.exp(e_values+6*sigma))\n", "plt.plot(range(0,len(logs)+20,20), np.exp(e_values-6*sigma))" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.10" } }, "nbformat": 4, "nbformat_minor": 4 }