{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# UChicago Trading Competition 2025 - Case 2\n", "This is a writeup of how I arrived at the winning entry for the portfolio management leg of the UChicago Trading Competition against 40 other teams, mostly from Chicago, Stanford, and MIT. I think I had one of if not the shortest entry in terms of lines of code and complexity, and this only took me a few hours one evening to do. My goal was to approach this problem as **scientifically as possible** without instantly jumping to optimal portfolio theory and machine learning techniques. " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Asset Price Series')" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "data = pd.read_csv(\"Case2.csv\")\n", "for i in range(1, 7):\n", " column = f\"Asset_{i}\"\n", " plt.plot(data[column], label=column, linewidth=0.5) # Plot each asset's price series with thinner lines\n", " column_ret = f\"Asset_{i}_ret\"\n", " data[column_ret] = data[column].pct_change() # Calculate percentage change for each asset\n", "plt.legend()\n", "plt.title(\"Asset Price Series\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The first step: Literally zoom in on the data. \n", "From here, I noticed that the underlying assets were much more stable (at the tick level) then they appeared" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Asset Price Series - Zoomed')" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for i in range(1, 7):\n", " column = f\"Asset_{i}\"\n", " plt.plot(data[column][0:200], label=column, linewidth=1) # Plot each asset's price series with thinner lines\n", " column_ret = f\"Asset_{i}_ret\"\n", "plt.legend()\n", "plt.title(\"Asset Price Series - Zoomed\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Though this could have also been obvious from the above plot, when I inspected the returns I realized that they would jump on exactly the 10th tick, every time. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0.02, \"Don't trade on the 10th tick\")" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "length = 300\n", "plt.plot(data['Asset_4_ret'][0:length], label='Asset 4 Return')\n", "plt.plot(data['Asset_5_ret'][0:length], label='Asset 5 Return')\n", "plt.plot(data['Asset_6_ret'][0:length], label='Asset 6 Return')\n", "for x in range(0, length, 10):\n", " plt.axvline(x=x, color='gray', linestyle='--', linewidth=0.5) \n", "plt.axhline(y=0, color='gray', linestyle='--', linewidth=0.5) \n", "plt.legend(loc='upper left')\n", "plt.title(\"Asset Returns - Zoomed, Baseline Strategy\")\n", "plt.annotate(\"Buy whatever was above 0\\nSell whatever was below 0 \", xy=(0.4, 0.9), xycoords='axes fraction', fontsize=12)\n", "plt.annotate(\"Don't trade on the 10th tick\", xy=(0.5, 0.02), xycoords='axes fraction', fontsize=12)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Baseline Strategy\n", "\n", "This is an exact implementation of that strategy: Trade whatever was above 0, sell whatever was below 0, and don't trade on the 10th tick. In retrospect this probably would've been enough to place me in the top 3" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Sharpe: 1.368898527183886\n" ] } ], "source": [ "import numpy as np\n", "import pandas as pd\n", "\n", "from sklearn.model_selection import train_test_split\n", "'''\n", "We recommend that you change your train and test split\n", "'''\n", "data = pd.read_csv(\"Case2.csv\")\n", "TRAIN, TEST = train_test_split(data, test_size = 0.99, shuffle = False)\n", "\n", "class Allocator():\n", " window_length = 500 \n", " def __init__(self, train_data):\n", " '''\n", " Anything data you want to store between days must be stored in a class field\n", " '''\n", " self.running_price_paths = train_data.copy()\n", " \n", " self.train_data = train_data.copy()\n", "\n", " self.tick_number = len(self.running_price_paths) - 1\n", " self.asset_4_up = None\n", " self.asset_5_up = None\n", " self.asset_6_up = None\n", " # Do any preprocessing here -- do not touch running_price_paths, it will store the price path up to that data\n", " \n", " \n", " def allocate_portfolio(self, asset_prices):\n", " '''\n", " asset_prices: np array of length 6, prices of the 6 assets on a particular day\n", " weights: np array of length 6, portfolio allocation for the next day\n", " '''\n", " self.running_price_paths = pd.concat([self.running_price_paths, pd.DataFrame([asset_prices])], ignore_index=True)\n", " self.tick_number += 1\n", "\n", " # No allocation on this turn - unknown market conditions\n", " if self.tick_number % 10 == 0:\n", " return np.array([0.0, 0.0, 0.0, 0.0, 0.0, 0.0]) \n", "\n", " if self.tick_number % 10 == 1:\n", " # print(\"TICK NUMBER:\", self.tick_number)\n", " recent_data = self.running_price_paths.tail(20).copy()\n", " recent_data['Asset_4_ret'] = recent_data['Asset_4'].pct_change()\n", " recent_data['Asset_5_ret'] = recent_data['Asset_5'].pct_change()\n", " recent_data['Asset_6_ret'] = recent_data['Asset_6'].pct_change()\n", " self.asset_4_up = recent_data['Asset_4_ret'].iloc[-1] > 0\n", " self.asset_5_up = recent_data['Asset_5_ret'].iloc[-1] > 0\n", " self.asset_6_up = recent_data['Asset_6_ret'].iloc[-1] > 0\n", "\n", " w4 = 0 if self.asset_4_up is None else (1 if self.asset_4_up else -1)\n", " w5 = 0 if self.asset_5_up is None else (1 if self.asset_5_up else -1)\n", " w6 = 0 if self.asset_6_up is None else (1 if self.asset_6_up else -1)\n", "\n", " return np.array([0.0, 0.0, 0.0, w4, w5, w6])\n", "\n", "def grading(train_data, test_data): \n", " '''\n", " Grading Script\n", " '''\n", " weights = np.full(shape=(len(test_data.index),6), fill_value=0.0)\n", " alloc = Allocator(train_data)\n", " for i in range(0,len(test_data)):\n", " weights[i,:] = alloc.allocate_portfolio(test_data.iloc[i,:])\n", " if np.sum(weights < -1) or np.sum(weights > 1):\n", " raise Exception(\"Weights Outside of Bounds\")\n", " \n", " capital = [1]\n", " for i in range(len(test_data) - 1):\n", " shares = capital[-1] * weights[i] / np.array(test_data.iloc[i,:])\n", " balance = capital[-1] - np.dot(shares, np.array(test_data.iloc[i,:]))\n", " net_change = np.dot(shares, np.array(test_data.iloc[i+1,:]))\n", " capital.append(balance + net_change)\n", " capital = np.array(capital)\n", " returns = (capital[1:] - capital[:-1]) / capital[:-1]\n", " \n", " if np.std(returns) != 0:\n", " returns = returns\n", " sharpe = np.mean(returns) / np.std(returns)\n", " else:\n", " sharpe = 0\n", " \n", " return sharpe, returns\n", "\n", "sharpe_1, returns_1 = grading(TRAIN, TEST)\n", "print(f\"Sharpe: {sharpe_1}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To evaluate this, I decided to inspect the distribution of returns:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Percent of returns less than 0: 4.312466005335543%\n" ] }, { "data": { "image/png": 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X+7WeS1mdwqBjU2pdXaT1Iao6CTVN6Num6iMSmz12lbqgKiOm4ELdjpX10Ye1vjUqi6Hzr2+UqjlQAbG+sYYf3pm9XqrvUPd0BY4653p9dJHflQHMMqOsnGok1OVc506Bsb5Zz5kzJ8fj7uSGxh8Ju8+qCUNZFr3HdNxqyhB1jVaTkd63ap5TZkajzyqwCjMPotdU511diHWOdCxaT+/BMJDV669tqBv9/Pnz3bbVvVcZOjVV6KIdHVgvv+zq86reTRkLnQMdmwpt9booO6WhBLRclP3QZ4PqY1Qfp88G1chlNTWJzrO2qSJ0NRvpfP3nP/9JmhHJ7D2a0+PT2DAaSVjvJXWJV4ZF3ajVBKbmsGSfKcoKqbu/Mm5qykQhyYeeTEjhbtSZdfdU183sulGrC/TRRx/tuuiqO3GTJk1c91N1M4x2Qe7Vq1esdu3arjtk9C2p7r19+vSJ7bXXXrFy5crF9t9//9jw4cPTu/+GNm7c6LpO1qxZM1alShXX/XHp0qVuW9FuzWEXaHXjTPTzzz/HzjvvPLev6qJ7wQUXxFauXJlpV+zEbWTWvTnZeUpm69atscGDB8caN27sjrVBgwaxAQMGxDZt2pSj50kmq3V/+OGHWJkyZeJeL3UbVrdfHf9uu+0W23fffV139Llz5+bo9dI56dixY6xSpUqxGjVqxK699trYwoULk3brzWy/tG6y7tHR99bmzZtjt956q+umv/vuu7tt6ffHH388VtDdqNVFONn7WN56663YoYce6s5do0aNYv/6179izz33nPs7dW+WL774wnXjb9iwYaxChQqxOnXqxM4666y4cxx66qmnXDdn/d/RcTZr1izWr18/977MbTfqZOc7fC/n5XmT0bADnTt3du8b/a3Ow0EHHRS7/fbbY2lpaXHrzpgxwz2Hzmf0/1hW743FixfH2rRp4/6Pq5uyuveHXeyjx5vVezSnx6dtqBt4vXr13Hqnnnqq6ypdq1atWI8ePZLun/6fq4u9PktQOErpn8IKloDCom9Yhx9+uL300kvpI3kCQF4pO6pmSA1aqcxwIn3eKJuUWVMa8h81MPBedCjxkJqU1AsguxFwASCnnymZTUCp5nF9aYoWGKPgUQMD76l2RWNOqFZEBXVqq9btmmuucd1ZASA3VJ+jglzVJanGSgPzaV4j1c2oJiykKSX02aN6GfWK0xQjKDwEMPCeRuNUd0r1LlDxpLqxqqt2sjQvAGRHvYj0ZUhfjjSHW1jYq+ajKHVK0ICd6mGlAKeoZgIvqaiBAQAA3qEGBgAAeIcABgAAeCdla2A0NLtmqtUw9AUxxwwAAMh/qmzRII8aXTurOaVSNoBR8EIPFAAA/LRixYpMZ61P6QAmnABQJ0DDTgMAgOJPPb+UgIhO5FuiApiw2UjBCwEMAAB+ya78gyJeAADgHQIYAADgHQIYAADgHQIYAADgHQIYAADgHQIYAADgHQIYAADgHQIYAADgHQIYAADgHQIYAADgHQIYAADgHQIYAADgHQIYAADgHQIYAADgnbJFvQMA/NCo/8Rs1/lxaPtC2RcAIAMDAAC8QwADAAC8QwADAAC8QwADAAC8QwADAAC8QwADAAC8QwADAAC8QwADAAC8QwADAAC8QwADAAC8QwADAAC8QwADAAC8QwADAAC8QwADAAC8QwADAAC8QwADAAC8QwADAAC8QwADAAC8QwADAAC8QwADAAC8QwADAAC8QwADAAC8QwADAAC8s0sBzNChQ61UqVLWu3fv9GWbNm2ynj17Wq1ataxKlSrWsWNHW716ddzfLV++3Nq3b2+VKlWyOnXq2K233mrbtm2LW2fatGl2xBFHWIUKFWy//faz0aNH78quAgCAFJLnAGbOnDn25JNP2qGHHhq3vE+fPvb222/bhAkTbPr06bZy5Uo7//zz0x/fvn27C162bNliM2bMsDFjxrjgZNCgQenrLFu2zK3TqlUrmz9/vguQrrrqKnv//ffzursAAKCkBzB//vmnXXrppfb0009bjRo10pevX7/enn32WXvwwQft1FNPtRYtWtjzzz/vApVZs2a5dT744ANbvHixvfTSS3bYYYfZGWecYffcc4899thjLqiRUaNGWePGje2BBx6wpk2b2g033GCdOnWyhx56KL+OGwAAlLQARk1EypC0adMmbvm8efNs69atccubNGliDRs2tJkzZ7r7+tmsWTOrW7du+jrt2rWztLQ0W7RoUfo6idvWOuE2ktm8ebPbRvQGAABSU9nc/sHYsWPtiy++cE1IiVatWmXly5e36tWrxy1XsKLHwnWiwUv4ePhYVusoKPn777+tYsWKOz33kCFDbPDgwbk9HAAAkOoZmBUrVthNN91kL7/8su22225WnAwYMMA1YYU37SsAAEhNuQpg1ES0Zs0a1zuobNmy7qZC3UceecT9riyJ6ljWrVsX93fqhVSvXj33u34m9koK72e3TtWqVZNmX0S9lfR49AYAAFJTrgKY1q1b24IFC1zPoPB25JFHuoLe8Pdy5crZlClT0v9m6dKlrtt0y5Yt3X391DYUCIUmT57sAo6DDjoofZ3oNsJ1wm0AAICSLVc1MLvvvrsdcsghccsqV67sxnwJl3fv3t369u1rNWvWdEFJr169XOBx7LHHusfbtm3rApUuXbrYsGHDXL3LwIEDXWGwsijSo0cPGzlypPXr18+6detmU6dOtfHjx9vEiRPz78gBAEDJKeLNjro6ly5d2g1gp55B6j30+OOPpz9epkwZe+edd+y6665zgY0CoK5du9rdd9+dvo66UCtY0ZgyI0aMsPr169szzzzjtgUAAFAqFovFLAWpx1K1atVcQS/1MMCua9Q/+wzoj0PbF8q+AEhdOb1+MxcSAADwDgEMAADwDgEMAADwDgEMAADwDgEMAADwDgEMAADwDgEMAADwDgEMAADwDgEMAADwDgEMAADwDgEMAADwDgEMAADwDgEMAADwDgEMAADwDgEMAADwDgEMAADwDgEMAADwDgEMAADwDgEMAADwDgEMAADwDgEMAADwDgEMAADwDgEMAADwDgEMAADwDgEMAADwDgEMAADwDgEMAADwDgEMAADwDgEMAADwDgEMAADwDgEMAADwDgEMAADwDgFMKpg2zaxUKbN16zJf5667zA47zFJSo0ZmDz9sKa+kHCcA5AABTHGnwCSrmwKTnLjlFrMpU8wrp5xi1rt3Ue9F8TFnjtk11xT1XgBAsVC2qHcA2fjll4zfx40zGzTIbOnSjGVVqpjNnZv9drSebvBX7dpFvQcAUGyQgSnu6tXLuFWrFmRdosuiQcm8eWZHHmlWqZLZccfFBzqJTUhqdjr6aLPKlc2qVzc7/nizn35Kvg8//hg87/jxZieeaFaxotlRR5l9+22QFdBzaj/OOMNs7dqsMygdOphdcUXG/ccfN9t/f7PddjOrW9esU6dgudaZPt1sxIiMbJP2IzMbNphdfHFwPP/4h9ljj8U/rua1q64KgoCqVc1OPdXsq68y315ej1meecasadPgmJo0CY4xtGWL2Q03mO25Z/D43nubDRkSPBaLBa9Tw4ZmFSqY7bWX2Y03Zt6EpP3Tc513XvCa6zy+9Vb8vuh+eH5btTIbMyb75kYA8AABTCq5/XazBx4IMjJly5p165Z8vW3bgkDi5JPNvv7abObMoGlCF7as3Hmn2cCBZl98EWz/kkvM+vULgoxPPjH7/vsgQ5RT2k9doO++Owi2Jk0yO+mk4DFts2VLs6uvDrJQujVokPm2hg83a97c7Msvzfr3N7vpJrPJkzMev+ACszVrzN57Lwj0jjjCrHVrs99/z99jfvnl4P5995l9843ZP/9pdscdQeAgjzwSBBUKjHTMWl+BifznP2YPPWT25JNm331n9sYbZs2aZb1/gwebXXhh8DqeeabZpZdmHNOyZUFAqNdawdq11wbvEQBIATQhpRJdNBWUiC7i7dubbdoUfPuOSkszW7/e7KyzzPbdN1imjEFO6mjatQt+V4CgjIfqapS9ke7dzUaPzvn+Ll8eZEy0H7vvHmQjDj88eEzZpvLlg8yCMk3Z0T7omOWAA8w++ywIBk47zezTT81mzw4CGGU25P77gwDh3//Ouq4kt8esgEdB5PnnB/cbNzZbvDgISrp2DY5ZGZETTggCRh1z9HzoWNu0MStXLsjEKEuWFWWqtE+iYEkBko719NOD5zzwwCC4E/2+cGHwPgEAz5GBSSWHHprxu5ooRBftRDVrBhc+XZjPPjvIJkRrbXKyfTX3SDRDoGXJni8zCi50Ad9nH7MuXYJsxF9/WZ4oW5N4XxkQUfbhzz/NatXKqAXSTRmKH37Iv2PeuDHYnoKa6PPce2/G8+i8z58fBBPKPn3wQXyW6O+/g/OhzNPrrwfZspzun4JBNY+F+6MMj5q9orILiADAEwQwqUTf2kNhc9COHcnXff75oOlItTIqDlbWYtas3G8/cVn0+UqXDuo6orZuzfhdWRc1zbz6ahBwqelFzUD5XZ+h4EXbV+AQvekCf+ut+XfMeh55+un451HWIzy3arpS4HTPPUGwouafsO5HTWTaJ9XMqObm+uuDJrXoOctq/xL3BwBSGAFMSabmmgEDzGbMMDvkELNXXsnf7atgNprZ2b49uJhHqa5ETSbDhgV1HCqenTo1eExNSPqbnEgMvnQ/bBZT0LBqVfBc++0Xf9tjD8s3ysao8Pa//935edSUFFKW5KKLgkBHwaNqX8K6FQUuyoqpKUiF1goyFyzI2/4oy5PYQ00FyACQAqiBKYmUAXjqKbNzzgkuuPrWr6LRyy/P3+dRT5++fc0mTgxqbR58MD678s47wcVeWYYaNczefTfIHujCKypu/fzzIKhRU4yavpTVSUY1LwqCVLCq4t0JE4LnFQVIalLSY1pH2aaVK4PH1YNHPYryi4pq1TSkGh7VoWzeHAQRf/wRnAudA2WDFDzqWLSfqntRTzDV0ihgO+aYoPbnpZeCgCZaJ5MbKtrV8912W9CspWxQWK+TXcE2cq1R//97v2Xhx6HtC2VfgJKADExJpIvjkiVmHTsGF3MVsfbsGVzw8pN6QalwVYGRiotV26GuvCFdtF97LQh0lC0ZNSpoTjr44IwC2jJlzA46KMjmqMg1MzffHAQKCgxUc6ILd1h8q4u1giMFSldeGRxz585Bt/GwriW/qKu2ujariU61MjpuBQ1hBkbNZgqiFDSpPkXBmfZNwYzOh7IyKhBWbcuHH5q9/XZQu5MXek4VKesca3tPPJHRCyksZgYAT5WKxRKLFFJDWlqaVatWzdavX29VlbIHEPRAUqC4YkWu/5QMQ9Y4P0DhXr9pQgJSmQqClelRFkfNbOpSrYH0AMBzBDBAKlNtk5rUVCSscWXU1KbCbQDwHAEMkMo0mJ9uAJBiKOIFAADeIYCB39TDSFMCAABKFJqQ4DcNlKcxZIAi7mGUX9uhpxKQM2Rg4KctW4KfGgQulcc0Wbs2mJATABCHAMYHGpH24Yfjlx12mNldd8U3pWigsjPOCEZv1aBxGsQsK6ecYtarl1nv3kEWQ4O6aSA1TUqoAd806JqGwX/vvWB9DRmk+5rJOUojvOr5v/9+5+fQZIWaDTtxfiPN7KwB7OS334IZlf/xj2CQPQ0ApwHtEvdV3X+1rxr+PzpIXbQJSaPOaqA6bUfn4I474ucS0jnTuXvxxeC8asRcDWq3YUPGOhoNWIPN6VgVHKn3TnQGZ42hojmMNPCcRgc+99xgQLqCoEHuNHJvjx7BtAIAAIcAJpXoYq3RdTX78qWXBhfmcEbmzIwZEwQEs2cHwcx11wWzImuSR0202LZtMFO0ZolWsKDRdTXKbJTua5RbXfATtW4dXOg1309Iw+VrDiDtoyjD0KJFMLS/5krSyMB6Tu1T4r5qfiSNZ6LB2JJR0KWRbxcvDmbZVkCW2AtHM0Mr6NFUBrpNn242dGjG4+pmrPs6n9qO5ogKR+xVMKTgSc/zySfBvmiaA00bEGaF8pPOkaYU0FQECvg0zcI//5mngegAIJUQwKQSBR4ayl4ZCM12rOHqH30067/R7M8DB5rtv39w4Va2RAHN1VcHyzRDtDIkmmhRrrgimDspDC50QdcFXoFNMpoKQIFUdKLIKVOCjIyCLVHmRdMGKDOirIkCKQUE48fHb0v7o8yILuLhfEmJdCwKvpRd0aSI2m7idpRhUZCjCSxPPDEIlrRPokyMAh89j6ZB0BxOJ5wQnFdR4KW/13QByhRpCgQFcJrmQJMv5jdNQNm+ffC8mpBSxzNpUjBNgOZ4UiZJs1oDQAlDAJNKNGFh4v3sMjCaIycabGjEVl2YQ2HmYc2a4Kcmf9QF9bnngvuaq0cTFip4yiqLoIu7JlCUl18OtqHMTJiRUcCl51WTjDIa77+/89xHytJkRxd6zSWk2hhtRwFN4nYU3CiDElITTXh8Ol86HmWOklF2S01l+nttP5xkUlkkZXaS0dxO4bpq4pPwvm5qHtI+Rpcpy5JIzV0KLD/+OJhBXJNyap4pnSsAKGHoheQDTfSXOGVVtK5jV5QrF39fzUTRZeGsxco6hJSNUNZCTTPKPlx0UVBzkhkNZa9MxtixQRPV669nzIosGt5eWQ/V+SiIqVw5qHVJbJLR8qyoRkTBkmaEVjOPLvh6zgceyP6Yw+NT/VBW/vwzCKQUhCXShJOZ1bGEr1e4fdUNhTTXh4Kg6DLdT6QgSQHjCy8EQYsmrlRGJrNgCwBSGAGMD3RhVHfhUFpa8O070axZwTfy6H1d5PLbmWcGwYSKhtWcoYxAdhRY6KJfv34QkCkDE1IdiQphL7ssuK9g4ttvg1moc0NZib33zphxWTTjdG6omUpBhpqUwmajqCOOCLI8deoEgUdOaJ8SJasXSrZMgeunnwZBy4QJQeZH50lBX5MmOXt+AEhBNCH5QMWbqnVQ0eiCBUFthpp7EukCp6YdXfzvvDOoUymIifv03KqFUc2MLviJTVeZBTAqClZvnk6d4rs+axuTJwcBiJpwrr3WbPXq3O+XtqOmGGVd1JzzyCNBtic3VAOknkz9+gVBg7ajQPDZZzOOQzVCCrj0eiiQVPPYjTea/fyz5TsV8CqbpCJq1fIoIBsyhOAFQIlHAOMDBQonn2x21llB5qJDh6BJJpGaTnTxVl2LLr7qipzbLEZOde8eNPGou3VOKLtw9NFBMXDY+yikOhVlNnShVndp1a/oGHPrnHPM+vQJgjYVBCsgUk+i3NLfaNJDFTCrSFdNZGGNjJrKlHFS1+rzzw8e17lQ805OMzK5oeYhFe8qe6UeYcpeAQCsVCyWWFyRGtLS0qxatWq2fv16q1oQF5biRnUcyjbk5cKfF8o+6OKq7rxhoS9SWkkeRTa/RuLNiVQ9h0B+X7+pgUHuqIeORofVgHDqeUTwAgAoAuSjkTtqllJRqsZx0VgpAAAUATIwqaKwWgJVvKsbAABFiAwMAADwDgEMAADwDgEMAADwDgEMAADwDgEMAADwDgEMAADwDgEMAABI7QDmiSeesEMPPdQN7atby5Yt7b333kt/fNOmTdazZ0+rVauWValSxTp27GirEyblW758ubVv394qVapkderUsVtvvdW2bdsWt860adPsiCOOsAoVKth+++1no0eP3tXjBIBMpwnI7gbA8wCmfv36NnToUJs3b57NnTvXTj31VDv33HNt0aJF7vE+ffrY22+/bRMmTLDp06fbypUr7XxNePd/tm/f7oKXLVu22IwZM2zMmDEuOBmkSfP+z7Jly9w6rVq1svnz51vv3r3tqquusvfffz8/jxsAAJTkyRxr1qxpw4cPt06dOlnt2rXtlVdecb/LkiVLrGnTpjZz5kw79thjXbbmrLPOcoFN3f+bQ2fUqFF222232dq1a618+fLu94kTJ9rChQvTn6Nz5862bt06mzRpUo73q8RN5ggUsFSdzLG4ZVh8PIdAfsrp9TvPNTDKpowdO9Y2btzompKUldm6dau1adMmfZ0mTZpYw4YNXQAj+tmsWbP04EXatWvndjbM4mid6DbCdcJtZGbz5s1uO9EbAABITbkOYBYsWODqW1Sf0qNHD3v99dftoIMOslWrVrkMSvXq1ePWV7Cix0Q/o8FL+Hj4WFbrKCD5+++/M92vIUOGuIgtvDVo0CC3hwYAAFI1gDnwwANdbcrnn39u1113nXXt2tUWL15sRW3AgAEu3RTeVqxYUdS7BAAAists1MqyqGeQtGjRwubMmWMjRoywiy66yBXnqlYlmoVRL6R69eq53/Vz9uzZcdsLeylF10nsuaT7agerWLFipvuljJBuAAAg9e3yODA7duxw9ScKZsqVK2dTpkxJf2zp0qWu27RqZEQ/1QS1Zs2a9HUmT57sghM1Q4XrRLcRrhNuAwAAoGxum2nOOOMMV5i7YcMG1+NIY7aoi7PqTrp37259+/Z1PZMUlPTq1csFHuqBJG3btnWBSpcuXWzYsGGu3mXgwIFu7Jgwe6K6mpEjR1q/fv2sW7duNnXqVBs/frzrmQQAAJDrAEaZk8svv9x++eUXF7BoUDsFL6eddpp7/KGHHrLSpUu7AeyUlVHvoccffzz978uUKWPvvPOOq51RYFO5cmVXQ3P33Xenr9O4cWMXrGhMGTVNaeyZZ555xm0LAAAgX8aBKa4YBwbIX4wDUzh8PIeAV+PAAAAAFBUCGAAA4B0CGAAA4B0CGAAA4B0CGAAA4B0CGAAA4B0CGAAA4B0CGAAA4B0CGAAAkPqzUQMACk6qjngM5DcyMAAAwDsEMAAAwDsEMAAAwDsEMAAAwDsEMAAAwDsEMAAAwDsEMAAAwDsEMAAAwDsEMAAAwDsEMAAAwDsEMAAAwDsEMAAAwDsEMAAAwDsEMAAAwDsEMAAAwDsEMAAAwDsEMAAAwDtli3oHAKCgNOo/sah3AUABIQMDAAC8QwADAAC8QwADAAC8QwADAAC8QwADAAC8QwADAAC8QwADAAC8QwADAAC8QwADAAC8QwADAAC8QwADAAC8QwADAAC8QwADAAC8QwADAAC8QwADAAC8QwADAAC8QwADAAC8QwADAAC8QwADAAC8QwADAAC8QwADAAC8QwADAAC8QwADAAC8QwADAAC8QwADAAC8U7aodwAAkDuN+k/Mdp0fh7YvlH0BigoZGAAA4B0CGAAA4B0CGAAA4B0CGAAA4B0CGAAA4B0CGAAA4B0CGAAA4B0CGAAA4B0CGAAA4B0CGAAA4B0CGAAA4B0CGAAA4B0mcwSQshMaAkhdZGAAAIB3CGAAAIB3CGAAAEBqBzBDhgyxo446ynbffXerU6eOdejQwZYuXRq3zqZNm6xnz55Wq1Ytq1KlinXs2NFWr14dt87y5cutffv2VqlSJbedW2+91bZt2xa3zrRp0+yII46wChUq2H777WejR4/eleMEAAAlNYCZPn26C05mzZplkydPtq1bt1rbtm1t48aN6ev06dPH3n77bZswYYJbf+XKlXb++eenP759+3YXvGzZssVmzJhhY8aMccHJoEGD0tdZtmyZW6dVq1Y2f/586927t1111VX2/vvv59dxAwAAj5WKxWKxvP7x2rVrXQZFgcpJJ51k69evt9q1a9srr7xinTp1cussWbLEmjZtajNnzrRjjz3W3nvvPTvrrLNcYFO3bl23zqhRo+y2225z2ytfvrz7feLEibZw4cL05+rcubOtW7fOJk2alKN9S0tLs2rVqrl9qlq1al4PEUAuev38OLS9FRZ6IRWf1wLITzm9fu9SDYw2LjVr1nQ/582b57Iybdq0SV+nSZMm1rBhQxfAiH42a9YsPXiRdu3auR1etGhR+jrRbYTrhNtIZvPmzW4b0RsAAEhNeQ5gduzY4Zp2jj/+eDvkkEPcslWrVrkMSvXq1ePWVbCix8J1osFL+Hj4WFbrKCj5+++/M63PUcQW3ho0aJDXQwMAAKkawKgWRk08Y8eOteJgwIABLiMU3lasWFHUuwQAAIrTSLw33HCDvfPOO/bxxx9b/fr105fXq1fPFeeqViWahVEvJD0WrjN79uy47YW9lKLrJPZc0n21hVWsWDHpPqm3km4AACD15SoDo3pfBS+vv/66TZ061Ro3bhz3eIsWLaxcuXI2ZcqU9GXqZq1u0y1btnT39XPBggW2Zs2a9HXUo0nByUEHHZS+TnQb4TrhNgAAQMlWNrfNRuph9Oabb7qxYMKaFdWcKDOin927d7e+ffu6wl4FJb169XKBh3ogibpdK1Dp0qWLDRs2zG1j4MCBbtthBqVHjx42cuRI69evn3Xr1s0FS+PHj3c9kwAAAHKVgXniiSdcfckpp5xie+65Z/pt3Lhx6es89NBDrpu0BrBT12o1B7322mvpj5cpU8Y1P+mnApvLLrvMLr/8crv77rvT11FmR8GKsi7Nmze3Bx54wJ555hnXEwkAAGCXxoEpzhgHBshfjAPjF8aBga8KZRwYAACAokAAAwAAvEMAAwAAvEMAAwAAvEMAAwAASsZIvACA4q249RoD8hsZGAAA4B0CGAAA4B0CGAAA4B0CGAAA4B0CGAAA4B0CGAAA4B0CGAAA4B0CGAAA4B0CGAAA4B0CGAAA4B0CGAAA4B0CGAAA4B0CGAAA4B0CGAAA4B0CGAAA4B0CGAAA4B0CGAAA4B0CGAAA4B0CGAAA4B0CGAAA4B0CGAAA4B0CGAAA4B0CGAAA4B0CGAAA4J2yRb0DAJCoUf+JRb0LAIo5MjAAAMA7BDAAAMA7BDAAAMA7BDAAAMA7BDAAAMA7BDAAAMA7BDAAAMA7BDAAAMA7BDAAAMA7BDAAAMA7BDAAAMA7BDAAAMA7TOYIACVUTibN/HFo+0LZFyC3yMAAAADvEMAAAADvEMAAAADvEMAAAADvEMAAAADvEMAAAADvEMAAAADvEMAAAADvEMAAAADvEMAAAADvEMAAAADvEMAAAADvEMAAAADvEMAAAADvEMAAAADvEMAAAADvEMAAAADvEMAAAADvEMAAAADvEMAAAADvEMAAAADvEMAAAADvEMAAAADvlC3qHQBQsjTqP7GodwFACiADAwAAvEMAAwAAUj+A+fjjj+3ss8+2vfbay0qVKmVvvPFG3OOxWMwGDRpke+65p1WsWNHatGlj3333Xdw6v//+u1166aVWtWpVq169unXv3t3+/PPPuHW+/vprO/HEE2233XazBg0a2LBhw/J6jAAAoKTXwGzcuNGaN29u3bp1s/PPP3+nxxVoPPLIIzZmzBhr3Lix3XHHHdauXTtbvHixC0ZEwcsvv/xikydPtq1bt9qVV15p11xzjb3yyivu8bS0NGvbtq0LfkaNGmULFixwz6dgR+sBAIpPzdKPQ9sXyr4AuxTAnHHGGe6WjLIvDz/8sA0cONDOPfdct+yFF16wunXrukxN586d7ZtvvrFJkybZnDlz7Mgjj3TrPProo3bmmWfa/fff7zI7L7/8sm3ZssWee+45K1++vB188ME2f/58e/DBBwlgAABA/tbALFu2zFatWuUyJ6Fq1arZMcccYzNnznT39VOZlDB4Ea1funRp+/zzz9PXOemkk1zwElIWZ+nSpfbHH38kfe7Nmze7zE30BgAAUlO+BjAKXkQZlyjdDx/Tzzp16sQ9XrZsWatZs2bcOsm2EX2OREOGDHHBUnhT3QwAAEhNKdMLacCAAbZ+/fr024oVK4p6lwAAgA8BTL169dzP1atXxy3X/fAx/VyzZk3c49u2bXM9k6LrJNtG9DkSVahQwfVqit4AAEBqytcARr2OFGBMmTIlfZlqUVTb0rJlS3dfP9etW2fz5s1LX2fq1Km2Y8cOVysTrqPu2uqhFFKPpQMPPNBq1KiRn7sMAABKQgCj8VrUI0i3sHBXvy9fvtyNC9O7d2+799577a233nLdny+//HLXs6hDhw5u/aZNm9rpp59uV199tc2ePds+++wzu+GGG1wPJa0nl1xyiSvg1fgwixYtsnHjxtmIESOsb9+++X38AACgJHSjnjt3rrVq1Sr9fhhUdO3a1UaPHm39+vVzY8Wou7MyLSeccILrNh2OASPqJq2gpXXr1q73UceOHd3YMSEV4X7wwQfWs2dPa9Gihe2xxx5ucDy6UAMAACkV0+AtKUhNVwqEVNBLPQxQfAY0YzLH1MNAdiiK63fK9EICAAAlBwEMAADwDgEMAADwDgEMAADwDgEMAADwDgEMAADwDgEMAADwDgEMAADwDgEMAADwDgEMAADwDgEMAADwDgFMKitVyuyNN4p6L1LH6NFm1asX9V4AAAhgPDBqlNnuu5tt25ax7M8/zcqVMzvllPh1p00LgpYffrCUUBgBWGZBSaNGZg8/HL/soovMvv22YPcHAJAjBDDFXatWQcAyd27Gsk8+MatXz+zzz802bcpY/tFHZg0bmu27b5HsasqrWNGsTp2i3gsAAAGMBw480GzPPYPsSki/n3uuWePGZrNmxS9XwBP1669m551nVqmS2f77m731VrA8FjPbbz+z+++PX3/+/CDz8f33yfdnzhyz004z22MPs2rVzE4+2eyLL+LX0d8/+aTZWWcFz9u0qdnMmcE2lTWqXNnsuON2PVO0YYPZpZcG29M5euihYPu9e2ess3mz2S23mP3jH8F6xxyTcS7188orzdavD/ZZt7vuCrbx009mffpkLE+WrdG6hx1m9uKLQcZG56Nz52C/crOPAIBcI4DxgYISZVdC+l0XQQUP4fK//w4yMokBzODBZhdeaPb112ZnnhlcTH//Pbgod+tm9vzz8evr/kknBcFNMrogd+1q9umnQfCkoEjbjV605Z57zC6/PAiImjQxu+QSs2uvNRswIMgmKYC64YZdOy99+5p99lkQlE2eHGSmEoMpPYeCp7Fjg3NwwQVmp59u9t13QRClZqKqVc1++SW4Kdh57TWz+vXN7r47Y3lmFISpmeudd4Lb9OlmQ4fmbh8BzzXqPzHbG5Dfyub7FpH/FJToG7vqYBSofPllELxs3RrUyIgu0so2JAYwV1xhdvHFwe///KfZI4+YzZ4dXMT12KBBwf2jjw6298orO2dlok49Nf7+U08FWQlduJVxCSmzocBJbrvNrGVLszvuMGvXLlh2003BOnmlgGnMmGB/W7fOCL722itjneXLg2X6GS5XgDJpUrBc50NZEwVzapKLKlMmqD1KXJ5ox44gM6N1pUsXsylTzO67L2f7mGK4UAEoLGRgfKBsy8aNQfONvsEfcIBZ7dpBEBPWwag5ZJ99ghqYqEMPzfhdzRjKNqxZE9zXhbR9e7Pnngvuv/12EAQpS5GZ1avNrr46yLzo4q/tqUZHQUJmz1u3bvCzWbP4ZdrvtLS8nZP//jcIuBR4hbQ/anILLVhgtn17cL6qVMm4KdjKr0JnNR2FwYuomSg8vznZRwBAnpCB8YGac9SkoeaiP/4IApcwAGnQwGzGjOCxxOyIqLdSlLINyhqErroqyBqoNkPZAfW0Ud1KZtR89NtvZiNGmO29t1mFCkF2ZcuWzJ83rCFJtiy6L/lNgZUyKfPmBT+jFMjkh+zOLwCgQJCB8YWahpRl0S3afVr1Ku+9FzQDJTYf5YTqV5SZeeKJoGlFdTFZUT3HjTcGf3fwwUEAo0LhwqZsk4IHZaVCKsaNdnM+/PAgA6OMiILA6C1sGipfPlgnUWbL83sfAQB5QgDjCwUnKpxVUWyYgRH9rh4/yoDkJYBRZkK1MCquVbOQsilZ0TrqdfPNN0HzlYqC1b24sKnZRtmgW28Nsk+LFpl1725WunRGdkdNR9o/FROrMHfZsiDQGzLEbOLEjCYgZWpUt6JA7K+/MpZ//LHZ//6X9wAtJ/sIAMgTAhhfKDhRAa+yB2FNSRjAqFg07G6dF7qoKgDKSVHts88GzVhHHBE0PSkbU1Rjozz4YBBwqXi4TRuz448PumzvtlvGOmoWUwBz883BOerQIciIhLVC6onUo0fQdKa6omHDguXqgfTjj8GYOlpekPsIAMi1UrGY+rOmnrS0NKtWrZqtX7/eqqrQFJlTYbB6yaxYER8c+UaFzhrv5YEHgqCsOPJhHzNBDyPsih+Hti/qXUCKXb8p4i3J1ONo7dpgQDb1PPIteFF38iVLgl4+qi1R1kQ0yF9x4cM+AoCHaEIqyV59NehJtG5dRtOJbzRmTfPmQfOMshvKJmmU4OLEh30EAM+QgSnJVLyrm6/Uy0hdpIszH/YRADxEBgYAAHiHAAa7LpzUEACAQkIAg9zR+CWavDBK8wtpHJXiqDgFV5o6QePtqCu8RjtWXYwmeAQA5BoBDHadhuWvVatwnzNx6oKCptEGNJnmrtCIwOqqrrmnNE+Txoc577ygsBcAkCsEMD7Q1AEaMK5fP7OaNYNh8JVZiFJPIs1rpEHX1G9e8yJ99VX8OvfeGww6pxFitW7//vHZCQ3wdtppQQ8ZTTqoQfK++CLjcY1OK7roKhMT3o9mOT74IBikTfsTpdmno3M1aVThE08MRvHVfE46vqwu5OFzPPOMWePGGQPBZXXcmiV68ODgvvZXNy3TAHX6XaMaR8+flmmqBtFP3dc0DS1aBFMmaJ+zey0U6Oi+BsrT32i+Kq0vWvbSS8H0Dxog75prgmPWwIBAitM4QtndgNwggPHFmDHBnEUavl9dnjWeSLT5QeO46Bu+Lrjq9aKRcjU43e+/B4+//LLZffeZ/etfweO6mGr+oyiN6Kuh73WhnjUrmDZAcx5puYRz+mh0219+iZ/jJ6TnrF7d7D//yVimOYXGjQuG9RfNBH366WYdO5p9/XXwmJ7zhhuyPgfffx9sV9MChMFHVset0XU1Aq/mbNL+6qZluaEgb+jQYOqEcIbtrF4L7Z8mxtT0Dt99FzS3RWfhjo7Bo+YkBYyaqBMAkCt0o/aFLp533hn8rsBi5Mig7kQXQF38NcePLuT61h+OPaKL57//HXzTf/TRYOTXcLqAQYOCbInmAQolzmb91FNBMDJ9ejAUfjikvpaFkyEmm1upc2ezV17JGGlW+6kMhwIW0VxECmZ69844nkceCTI+CqoyG2ZfzUYvvJCxHzk5bjVvlS2b+f5mR8GJznFOX4vly4Pn0pgvmshRgaIGsYtSU9Q55wTnXoEXACDXyMD4Ivz2H9K8R7pwi5pIdDFUHYou2OFNkxcq2yFLl+58IU28v3q12dVXBxdlNSGpSUbb1UU5NxScqAlm5cqM7E/79kHgE+6vmnKi+9qundmOHcE+Z0aD7kXnJcrJce+qI4/M3WuhjJDmrNJM1DqXr7++c+2Mlin4eued4BwDAHKNDIwv9G0+SvUZuuCLLuK6iIb1G1Fh0JATaj767TezESOCYEFZDRWa5rZg9qijghqPsWPNrrsuuGArYAlpf6+9NqM2JCqcZDEZNdtE5fW4NRu0RKcB27o1Z8+Z3Wuheh4Fix9+GDQrXX+92fDhQRYr/DsFdgrEatTIfB8BAFkigEkFqvtYtSpoKgkLaxNpJmbVrGhm5lBiDctnn5k9/nhQ9yLqMfPrr/Hr6CKsmpacZGGUeVF9hwIGZWCi+7t4cdCduKCPu3z5nfc3zOKoJkYj5Uq0oHdXqTD57LODW8+eZk2aBL2OtL9y8cU7N9cBAHKFJqRUoHoLZUo6dAjqWtTLZsYMs9tvN5s7N1inVy+zZ58NClBVXKoeSSqgVfYgpKajF18MClZVoKogRBfjKAUKqvdQ4JBV7xn9rXowqXC4U6eMGhW57bZg/1S0q8BB+/Pmm9kX8ebluLW/alLS8ygYU/GsjunYYzOKc5UdGTjQ8oUyTTrPCxea/fe/Qa8jPZ8yWqHx4zPqfwAAeUIAkwoUhLz7btA9V0W6BxwQFNL+9FPGDNMKKNTrRYPOKROgi7rmQYoWzOrCq6BEj3fpEjTxqNt11AMPBE0jaioJsxfJKLuiGhsFSWHvo2gNiYKGb78NulJrOyoqVpfj/D5uFQ6rx1OrVkHmRRNYisZiUW2KukgrmFBAlx/UdPX002bHHx8cp5qS3n47fpwcBVL5VaMDACVUqVgsWgiQOtLS0qxatWq2fv16q0qhZHLqNaMeM8q6ANlgnA4UtB+HRpqaUWKl5fD6TQ1MSfHXX2ajRgW9fdTVWZmIsNAUAADPEMCUFGFzi2pSNCePino16JrqSAAA8AwBTEmhQlJlXAAASAEU8QIAAO8QwAAAAO8QwAAAAO9QAwOALtLw5n1IV2uEyMAAAADvEMAAAADvEMAAAADvEMAAAADvEMAAAADvEMAAAADv0I0aAOANulojRAYGAAB4hwAGAAB4hyYkIMUxyi6AVEQGBgAAeIcABgAAeIcmJABASqGnUslAAAN4jPoWACUVTUgAAMA7BDAAAMA7NCEBxRTNQwCQOTIwAADAO2RgAAAlDj2V/EcGBgAAeIcMDAAASZClKd4IYIAiQIEuAOwaAhggnxGcACUHWZqiQw0MAADwTrHOwDz22GM2fPhwW7VqlTVv3tweffRRO/roo4t6t1CCkV0BkFtkaUpYBmbcuHHWt29fu/POO+2LL75wAUy7du1szZo1Rb1rAACgiJWKxWIxK4aOOeYYO+qoo2zkyJHu/o4dO6xBgwbWq1cv69+/f7Z/n5aWZtWqVbP169db1apVC2GP4TuyKwCKs5KSpUnL4fW7WDYhbdmyxebNm2cDBgxIX1a6dGlr06aNzZw5M+nfbN682d1COvDwRMBfh9z5flHvAgAUCw37TMh2nYWD25nvwut2dvmVYhnA/Prrr7Z9+3arW7du3HLdX7JkSdK/GTJkiA0ePHin5craAABQElR72FLGhg0bXCbGqwAmL5StUc1MSE1Ov//+u9WqVctKlSpV4NGiAqUVK1bQXFUEOP9Fj9egaHH+ix6vQf5R5kXBy1577ZXlesUygNljjz2sTJkytnr16rjlul+vXr2kf1OhQgV3i6pevboVJr1peeMWHc5/0eM1KFqc/6LHa5A/ssq8FOteSOXLl7cWLVrYlClT4jIqut+yZcsi3TcAAFD0imUGRtQc1LVrVzvyyCPd2C8PP/ywbdy40a688sqi3jUAAFDEim0Ac9FFF9natWtt0KBBbiC7ww47zCZNmrRTYW9xoKYrjVeT2ISFwsH5L3q8BkWL81/0eA0KX7EdBwYAAMCrGhgAAICsEMAAAADvEMAAAADvEMAAAADvEMAAAADvEMDkgKYkuPTSS93oihrdt3v37vbnn39m+TebNm2ynj17uqkMqlSpYh07dowbWfirr76yiy++2A09XbFiRWvatKmNGDGiEI7GPwVx/uXGG290Ayaq26O66SPDY489Zo0aNbLddtvNzQw/e/bsLNefMGGCNWnSxK3frFkze/fdd+MeV2dHDYmw5557uve7Jmb97rvvCvgo/Jbfr8Frr71mbdu2TZ9eZf78+QV8BH7Lz/O/detWu+2229zyypUruyHyL7/8clu5cmUhHEkKUzdqZO3000+PNW/ePDZr1qzYJ598Ettvv/1iF198cZZ/06NHj1iDBg1iU6ZMic2dOzd27LHHxo477rj0x5999tnYjTfeGJs2bVrshx9+iL344ouxihUrxh599NFCOCK/FMT5l169esVGjhwZ69Kli9s+AmPHjo2VL18+9txzz8UWLVoUu/rqq2PVq1ePrV69Oun6n332WaxMmTKxYcOGxRYvXhwbOHBgrFy5crEFCxakrzN06NBYtWrVYm+88Ubsq6++ip1zzjmxxo0bx/7+++9CPLKS/Rq88MILscGDB8eefvppDZ0R+/LLLwvxiEr2+V+3bl2sTZs2sXHjxsWWLFkSmzlzZuzoo4+OtWjRopCPLLUQwGRDb0b9Z58zZ076svfeey9WqlSp2P/+97+kf6M3q968EyZMSF/2zTffuO3ojZuZ66+/PtaqVat8PgK/Fcb5v/POOwlgIvTB2rNnz/T727dvj+21116xIUOGJF3/wgsvjLVv3z5u2THHHBO79tpr3e87duyI1atXLzZ8+PC416hChQqxV199tcCOw2f5/RpELVu2jACmCM9/aPbs2e51+Omnn/Jxz0sWmpCyMXPmTNdsoSkNQkp/ly5d2j7//POkfzNv3jyXMtR6IaUWGzZs6LaXmfXr11vNmjXz+Qj8VpjnH2Zbtmxx5y967nSudT+zc6fl0fWlXbt26esvW7bMjaYdXUcTtSktz+tROK8Bit/51+e9mvIKe9LhVEIAkw198NapUyduWdmyZV2goccy+xtNSJn4xtQ0CJn9zYwZM2zcuHF2zTXX5OPe+6+wzj8Cv/76q23fvn2nKTuyOndantX64c/cbLMkK4jXAMXr/KtGTzUxqoNk5uq8K7EBTP/+/V30m9VtyZIlhbIvCxcutHPPPdfNo6Eiu5KgOJ1/ACgsyg5feOGFrrD9iSeeKOrd8VqxncyxoN188812xRVXZLnOPvvsY/Xq1bM1a9bELd+2bZvrGaPHktFypSHXrVsXlwVQL5jEv1m8eLG1bt3aZV4GDhxoJUVxOf+It8cee1iZMmV26rGV1bnT8qzWD39qmXohRdeh91fhvAYoHuc/DF5++uknmzp1KtmXXVRiMzC1a9d2dRFZ3dQM0bJlS3chVJtoSG+8HTt2uDb8ZNQ1t1y5cjZlypT0ZUuXLrXly5e77YUWLVpkrVq1sq5du9p9991nJUlxOP/Ymc65zl/03Olc635m507Lo+vL5MmT09dv3Lix+yCPrpOWluZqmHg9Cuc1QNGf/zB40fABH374oevOjl1U1FXEvnTjPfzww2Off/557NNPP43tv//+cd14f/7559iBBx7oHo92423YsGFs6tSprhtvy5Yt3S2k7nW1a9eOXXbZZbFffvkl/bZmzZpCP76SeP7lu+++cz0x1FPggAMOcL/rtnnz5lhJ70KqHkKjR492vcCuueYa14V01apV7nF1O+/fv39cF9KyZcvG7r//ftfbS726knWj1jbefPPN2Ndffx0799xz6UZdyK/Bb7/95t7fEydOdL1f9By6r88dFOz537Jlixs6oH79+rH58+fHfeaX9M+bXUEAkwP6j68LZpUqVWJVq1aNXXnllbENGzbs1C3xo48+Sl+mD2Z1i65Ro0asUqVKsfPOOy/ug0JvcP1N4m3vvfcu9OMriedfTj755KSvgbZX0mk8IgWAGgtDXUo1Bk/0vHXt2jVu/fHjx7sgUOsffPDB7iIZpa7Ud9xxR6xu3bruwtC6devY0qVLC+14fJTfr8Hzzz+f9P2uzyIU7PkPP6OS3aKfW8idUvpnV7M4AAAAhanE1sAAAAB/EcAAAADvEMAAAADvEMAAAADvEMAAAADvEMAAAADvEMAAAADvEMAAAADvEMAAAADvEMAAAADvEMAAAADzzf8HmHOmjTtWGcoAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.hist(returns_1, bins=50)\n", "plt.title(\"Histogram of Returns - Baseline Strategy\")\n", "plt.annotate(f\"This must be messing\\nup my variance --->\", xy=(0.1, 0.7), xycoords='axes fraction', fontsize=10, color='red')\n", "plt.annotate(f\"Why am I getting\\nnegative returns?\", xy=(0.1, 0.1), xycoords='axes fraction', fontsize=10, color='red')\n", "print(f\"Percent of returns less than 0: {100*len(returns_1[returns_1 < 0])/len(returns_1)}%\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Optimization 1: Cleaning negative returns\n", "\n", "I decided to test if the negative returns were coming from when the assets were bouncing around 0. I decided to filter for when the return ever crossed 0 since the last jump. " ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Sharpe: 1.3581152800934602\n" ] } ], "source": [ "class Allocator():\n", " window_length = 500 \n", " def __init__(self, train_data):\n", " '''\n", " Anything data you want to store between days must be stored in a class field\n", " '''\n", " self.running_price_paths = train_data.copy()\n", " \n", " self.train_data = train_data.copy()\n", "\n", " self.tick_number = len(self.running_price_paths) - 1\n", " # Do any preprocessing here -- do not touch running_price_paths, it will store the price path up to that data\n", " \n", " \n", " def allocate_portfolio(self, asset_prices):\n", " '''\n", " asset_prices: np array of length 6, prices of the 6 assets on a particular day\n", " weights: np array of length 6, portfolio allocation for the next day\n", " '''\n", " self.running_price_paths = pd.concat([self.running_price_paths, pd.DataFrame([asset_prices])], ignore_index=True)\n", " self.tick_number += 1\n", "\n", " # No allocation on this turn - unknown market conditions\n", " idx = self.tick_number % 10\n", " if idx == 0:\n", " return np.array([0.0, 0.0, 0.0, 0.0, 0.0, 0.0]) \n", " #This is to make sure it doesn't run until we get to an index 1 the first time \n", " else:\n", " recent_data = self.running_price_paths[['Asset_4', 'Asset_5', 'Asset_6']].tail(idx+1).copy()\n", " recent_data['Asset_4_ret'] = recent_data['Asset_4'].pct_change()\n", " recent_data['Asset_5_ret'] = recent_data['Asset_5'].pct_change()\n", " recent_data['Asset_6_ret'] = recent_data['Asset_6'].pct_change()\n", " recent_data = recent_data.dropna()\n", "\n", " #New addition\n", " w4 = 0 if (recent_data['Asset_4_ret'].min() < 0 and recent_data['Asset_4_ret'].max() > 0) else (1 if recent_data['Asset_4_ret'].min() > 0 else -1)\n", " w5 = 0 if (recent_data['Asset_5_ret'].min() < 0 and recent_data['Asset_5_ret'].max() > 0) else (1 if recent_data['Asset_5_ret'].min() > 0 else -1)\n", " w6 = 0 if (recent_data['Asset_6_ret'].min() < 0 and recent_data['Asset_6_ret'].max() > 0) else (1 if recent_data['Asset_6_ret'].min() > 0 else -1)\n", "\n", " return np.array([0.0, 0.0, 0.0, w4, w5, w6])\n", "\n", "sharpe_2, returns_2 = grading(TRAIN, TEST)\n", "print(f\"Sharpe: {sharpe_2}\")" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Histogram of Returns - 2')" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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//s/9v2LFiu7v9u3bXVqf7p911lmhNDt27IjYhi54Gpnkv15/9Zpw/n0/TbRChQq5G7JPYmKi65yt0WkAACSnaNGiLk4I7yqSqQGMRiCpH0q4H3/80apXr+7+r1FHCjBmzZoVClhUE6K+LWpukmbNmrnh1Vott0mTJu6x2bNnu9od9ZXx02jhOY1QKlCggHtMI5Zq1aoVMeIJOYeOn/pAKbLW5EM6KZlAEAAQXUuvH7t//PGHu2aoS0pKk9WlKC09g5csWeLlz5/fe+KJJ7z169d7kyZN8ooWLeq99dZboTQjRozwSpUq5X388cfeypUrvWuuucarUaOGd+DAgVCayy+/3Dv77LO9xYsXewsWLPDOOOMMr1OnThEjlypUqOB16dLFW716tffOO++493nllVcyvBczMoaOr0aY7d+/P7uzAgDI4XSt0DUjPDZI6/U7TQGMfPrpp179+vXd0OjatWt7r7766nFDqR966CEXgChNq1atvHXr1kWk+euvv1zAUrx4ca9EiRJe9+7dvb1790akWbFihRuyrW2ccsopLjBKCwKY7AlgkjoZAQCI9ZoR6/U7j/6xOKSmK41G2r17NxPZZYGDBw+66kA1I/oTFgIAkNZrRqzXb1ajBgAAgRO3izki5zh10LQsfb9NI9pbEJ166qmWkJDgbqJO0B9++KFde+212Z01/P9iOSa33nqrG6jw0UcfZfj7t2jRwg2QGD16tGUlzsX/mTt3rltOR5OqalJWZB9qYJDr6YKjL2j/VrZsWbv88svdgqLZSUPS27Vrl6nvofl6RowYYbVr17YiRYq4CSU1GnD8+PERF00/qMqoQC2rL8CZcUw2bdrkzpfly5dnyLY1MkNryTVq1MgNMT355JPdyE8tlqsRmfF+Lor2p5oTfvnll4jHFTjpc5rVkjr3L7jgArc/1MSRWfxzy7/pc9m8eXP76quv0rSdFhn82c1pCGAAMxew6EtJN00DoEmWrrzyymzNk6YkyOy5jR599FEbNWqUPfbYY27B1Tlz5rgFU1WDkJ4JDONdZh0TBS9aLkXBpPb/woULbcmSJda7d2978cUXbc2aNRbv56JPF+yhQ4daTqUpIrQ/smKaiC+//NJ9J82fP99NT6HvpOg50rKCzs+ciAAG+P8nQtSXkm6qoh80aJBt2bLFzVXgGzhwoJ155pnu1/Fpp53mVloP/2W8YsUKV7WsJeDV8UzzHH377beh5xcsWGAXX3yxq+nQLNFahmP//v3J5klfkH4zhP+L7IMPPnDvoTzol7q/xlh630Prm919991ufTN1ptM2e/ToYQ888IB7Xr96582bZ88//3zo16Dyomp0/V+r0quc2n96759++smuueYat/RH8eLF7dxzz3VfwuG/CPXrum/fvqHtxZp3fZG3b9/ePa+8avX68NocrVgfHXTq+Gjpktdffz3JoKtcuXL2/vvvhx7TsQ+fhFN5Utn8yRnDj4ny4M9IrsdVtnDPPPOM25Zq9BSIpFSLojLoIqXgWWmVD51jt9xyi5tHS3NlJLcGnI7VKaecYsWKFXO1Zzo2vr/++ss6derkntc506BBA3v77bcjtqF8a18PGDDA/dLXZ+CRRx454XNR6+TpOOr5Dh062HPPPRdTk8s999xjb731lpvlPaV5p7R8jI6Bzge9f/hx9M9t7TfV6CifWvJG+faD89T2TWrnvrajzqZ6f30Owqm5Td8D/nmj75Ibb7zRlV/7WJ8RbSs1Ond0POrXr28PPvhgaF413+rVq13NmD5r+sx16dLF/vzzzxTzP3HixOOOg45t+GdRx1/noGpiwzvZKo0e0/HUPtP+1X72qVmtc+fO7nOl/aLnVYOYWQhgkKus/HXXcbed+xNtz4HDofv79u1zX6A1a9Z0XyA+fSHpw6+aCn0p6AtatRc+fXCrVKliS5cudRM1KgjyJ2LUhV21PB07dnRNU++++667OOrLOi00waMuWGq2UDClL2C/5iM976EvR00kGR6ohVM5NbHk7bffHqqhCl+iQ2VUrcH3339vDRs2dPvuiiuucBfi7777zuXnqquuss2bN7v0uuhpHw0bNiy0vVjz3rVrV9u6dau7gGj271dffTViVu+ePXva9OnTQ9uUqVOnuovITTfddFzZ9GWsRWP9C76+fFWOAwcO2A8//OAe0wVAQZi+rKOphiT8V7LK5lNNlsqkv7pw6rzRLTmTJk1yi9oqGIqmc0jBSVK0fxQ4vPPOO26/KRDVfly/fn1opIcCzGnTprmLnWp3dJHz8+5THvUeujiqGUvHR5OHpvdc/Prrr61Xr1523333uecvu+wye+KJJywWajZTIKpzKzkKXv7973+7ZWxUO6WA+B//+Ic7XqLRLddff71retIPizvvvNPlN1xq+ya1c1/0Q0V5VTAdfTz13jpvFLiqdk3fH2oC0r5RwKHjFGvNhs5JlVf8mWt37dpll156qTtn9ENJ575qZxQoxZr/lGzYsMF9znRehzeTqtZW76HzTZ91fe9pJn3Rjzp9Pyqg02dJayeqKTTTeHGKeWByzpj+6gOnZuktJSu27DzudvX1nbx8+fJ5RYoWczedN5UqVfKWLVuW4rZGjhzpNWnSJHT/pJNO8iZOnJhk2h49enh33HFHxGNfffWVlzdv3tA+q169ujdq1KjQ88rHhx9+6P6/ceNGd3/8+PGh59esWeMe+/7772N+j2jaRp06dVyaBg0aeHfeeaf32WefRaRp3ry5d99990U8NmfOHPfeH330kZeaevXqeS+++GLofnQ5Y8m7yqj3W7p0aeh5Taapx8K3VbduXe+pp54K3b/qqqu8W2+9Ndm8vfDCCy5/orKcf/75bvLNsWPHusdat27tPfjggykek++++y5im926dXNlPHLkSOixG264wbvpppuSzUeRIkW8e++910tN+LH45Zdf3Hn722+/RaTR3FuDBw9Odhvt27f37r///ohtas6tcOeee643cODAdJ+LKqveJ1znzp29kiVLplg+/320PZVt/vz57nEdE+1XOXjwoJvYdOHChcedQ/6EqMq75isL989//tNtf+fOnWnaN8md+/52lF/NaeZP4qlrTuHChb3PP//c3X/zzTe9WrVquTnSfIcOHXLHfMaMGUnmw9/HSlOsWDEvT5487r6+bxITE12axx57zGvTpk3E67Zs2eLS+XOvJZX/CRMmHHccVIbwcODhhx/2ChQo4O3YsSMindIMGTIkdH/fvn3uMb+s+rxpXresmgeGGhjAzM694GKbMn2+u+kXmH4xqWo2vDOhagX061C1FvoFNWTIkFDNgmgxUdUC6Je0aiX0C9ynX4H6Ba7X+Te9h78EQ6xUy+Hzmzr8Woj0vIfWNtOvz2+++cY1wWhbqjFROWKhxV3DqQZGv8q1RpqqqZUH/RIL309JSS3vWsJE/ZIaN24ceo1qyKKXFlG+/Spr/RrVL0GVKznqGKlfjKqB0q93NafoploZ/XJWX5TopqFY1KtXzy2rEX6soteAC5ee6bhWrVrlOmGr9iN8v6kc/rmn59W/Sc0jarrQ8zNmzDjueISfV7HkN7VzUcfrvPPOi0gffT8lOi9V45ZULYxqBlSrplqd8HKrhsIvt95fNWcpvX+s+yY1qoVQLZnflKJaC9XM6HvAP7eVZ9XA+HnV+6kGKPw7Iin6zlFNprap812fEb9Wd8WKFa6GL3wfqDO+pLbdWGiJIDUFpXTcVWunsvrHXUsGqTZQzU9qktTnJzMxjBowsyJFilq1Gqe5/zesUsq182qUgZqJHn/8cVdNr6pSVZ/qwqrn9EF99tlnI9qN1WdBVdK6cD788MMujdqLdWFXNbb6GkSrVq1azPn0v7zEb7PWRV7S+x5ah0Rf9rppxIKaz1SVrip3v59HcqKbNhS8qOlB/T/0hat2cFXlp1ZVnlreteZaLPyLno6XvjyVf/WrSY5/8dJFXzc1cyhAfeqpp1xToIIYjTpJq/Dj5B8r/zglRUGI32wVK+0zBUlqrgwPlkQXMxk5cqRrSlAfG5VVx0vHOPp4pDW/qZ2LGUGfNe2X6OHoKrfoc6b+K+HS0tE41n2TGjXp6BxXM9LNN9/s/qrJUgG3n181ValZKVpSAUI4NfmoH4luap7Td4l+cKic+/btcz82dK5GC+/HldTnPTpgTqp/VnLNlimdK/6Pvs8++8x9D7Rq1cr16dL3QWYggAGSoA+lPuhqexZdDPWLJLwdPXqop+gLVze1yatPgGoD9KWjmgP90tdFPbNk1Hv4K877HWj1Ba1fq7FQ+746D6rMoi/Z6M6KSW0vtbxrIVd9gevXqL8IrH7Vqt9KOPVZUt8D7XcFMd27d0/1OCvA+fjjj11fiosuusj1W1Dn2FdeecXVMCX3Re73RYh136REga86aap80f1gdHHRRTU6H0qn99av3+SCNB0PdRhV/xDRhUbBoH+MM4uOlwLAcNH3U6OLt/r4aL+cfvrpoceVd13AVVOiGrTk3l8X0ZTeP5Z9E+u5rx83qhHSOaQ+ZfrRE35uqyZFnclPZFZ4BUkanfXyyy+775fGjRu7mhl1ZPeDpWhJ5V9B0969e93n2z+nMmoqAH/73bp1czedl/3798+0AIYmJMANEzxkf+7Y7m5q8ujTp0/oF47oF5C+MFWjourZF154wY008CnQ0Zetmh4U2OjLUV+YakrxRzApCFIafVmok6UummntxJuS9LyHvhTVEVmdN5Vv5V+/mBSE+dXR+oLU8wpENMIhpV/Z2k9+pz9VcevCHJ1e29OIm99++y00YiK1vCsvqpJXR0s18elCr/+rhid6OKuakdQpVcdRX6KpURORRp+o2ls1Fwpc1blXv5iTu0CKLkh6f7/zpKY9Ty/98lfzpH6xvvTSS27f/fzzzzZlyhRr2rRpqFNuOB0jXThV66R9rqY27Rt1cFXthH889EtY+1b7Q7VcWTEMV58fBRAaeaS8KxhUrWRahx4PHjzYddwOH8mmphjV9OkiruOsz+N//vMfN9xc90XlVI2WzisFJdqPfidqPw+x7JtYz32dL6q50/FQrZ9Gg/n0mDqyKlhSJ14dJ33OVNv466+/xrwvlG+9Rs3TakLr3bu36zyrH0r6rtF+UBOYgnY/aEkq/8qbgnQFhnqNaoxS6mCeFgqw9LnVjwsFc+pE738HZgovTtGJN2sFZTHH5Drx6lzxb+qMq06M77//fsRr+/fv75UtW9Z12FMnRXUe9TvDqVPezTff7FWtWtUrWLCgV7lyZe+ee+6J2B9azf2yyy5zr1fHvIYNG7qV3X2xdOIN7zCqToR6TJ0KY32PaFqMtWXLll65cuVcvqtVq+Y6vW7atCmURh0CmzZt6joU6v2Ul+iOjD49p+0prfbFmDFjjutIuGjRIpcvLdQa/hWUWt63bt3qtWvXzr1O+2ry5Mle+fLlvXHjxkXkQZ0l9fwVV1zhxUL7VPkI77Sq46DHpk+fHpE2/JjIa6+95sqpzsYqp6izqTqdhlP5/eeTo86pw4cPd52p1Qm0TJky3oUXXug6hh8+fNilid6X6tA5dOhQ79RTT3WdLtX5vEOHDt7KlStDC+cqL9qn2lfqgNm1a9eI/CXV0TO802x6z0WdW1qIV+fCtdde6z3++ONexYoVU9wH0ftXnnzySfd4eH50jEePHu06x6rcOn/btm3rzZs3L5Tm448/9mrWrOnOlxYtWriO2dqO/5mMZd+k5dwfMGCAe1zHI9rvv//utn3yySe7/Jx22mne7bffnuz1KbkO4uooXLp06VBH9R9//NEd71KlSrk8aoHlhISEUIfhpPIv2sfaN3r8yiuvdMcquhNvo0aNYjo++g5Ux2C/Y7EGBWi7On+1L3/++ecky8hijilgMcesFZTFHDVMOjXqA4OcT79e1cygX+equfCp5kx9I9SMdN1112VrHvE/Gs6rWpG0ziabUdS/ScOuNScL4mMxR/rAAAgE9S1QcKIOl5rTQqMcVEWu6ntR9biqydWxWiOgrr766uzOcq6mfg/qF6J+Fmo+UvOO+m9kFb2XOqarX5SadNVpNyObbJH9CGAABII6s6rdXn1D1A9Co4PUT8UfFaE+Svo1p4ny1KafXMdGZA31x9GkeOowqlmF1W8s1uH5GUF9b9SZVv1ENJLt/vvvd31qED9oQkKGoAkJAJCVTUiMQgIAAIFDAAMAAAKHAAYAAAQOAQwAAAgcAhgAABA4BDAAACBwmCgBmW/O8Kx9v5bBnOtBk7JpTRzd/LVPtN6SFicEAESiBga53kN977ZGVUuHbpq58/LLL7eVK1dma74026yWp89MWvRNi8NpsUQtTFimTBm32Nv48eMjFjv0g6qMCtRGjx6dYdsDkDtRAwOY2YUtWtmwZ19y/y+T94ANGTLErrzySje7a3bR6raZ7dFHH3UrBY8ZM8bOOeccN4HUt99+azt37kzTdjQfpoIhZr8FkFWogQHMrGDBQnZy+QrudtZZZ9mgQYPcom9//PFHKM3AgQPtzDPPdEvRa2r0hx56yE1v71uxYoW1bNnSTXOv2SObNGniggHfggUL7OKLL3Y1HVqE8N5777X9+/cnmyc1IX300Ufu/5s2bXL3P/jgA/ceykOjRo1s0aJFEa9J63t88skndvfdd9sNN9zgZsTUNnv06GEPPPCAe/7WW2+1efPm2fPPP+/eXzflZe7cue7/WuNG5SxUqJB7759++smuueYaq1ChghUvXtytRaPFFsNrc3755Rfr27dvaHux5l01Uu3bt3fPK6+TJ0+OqM257bbbXNAZTsenfPny9vrrrye7DwAEEwEMEEULBr711ltWs2ZN15zkU2CiNXbWrl3rLuivvfaajRo1KvR8586d3To8S5cutWXLlrkgyF+nRxd2NUt17NjRNU29++677oKd1sXl/vnPf7rgYvny5S6Y6tSpkx05ciTd76FaHi2SGB6ohVM5mzVr5lYSVgChm4ILn8qoJqjvv//eGjZs6PbdFVdcYbNmzbLvvvvO5eeqq64K1WQpANM+GjZsWGh7sea9a9eutnXrVhc8/d///Z+9+uqrtmPHjtDzWmdn+vTpoW3K1KlT7e+//7abbropTfsZQM5HfS9gZvNnzbCmtaq4/x/4e79VqlTJXfzy5v1fjK9mJZ9++SuQeOedd9yqyKKLdP/+/V1/EjnjjDNC6YcPH+4CHL8viZ7T4nbNmze3sWPHxrx+lN5TtRB+80+9evVsw4YN7j3T8x7PPfecXX/99S6Q0ba0QKJqUPy+N1qPpGDBgq7GJ6kmLQUiWnHYpz40qsXxPfbYY64jsmp6FIzo+Xz58rlgMHx7qeVdtT6qyVFwqKYuUT+d8H2svNeqVcvefPPN0DGZMGGCq11SbRCA+EINDGBm515wsU2ZPt/dtIpu27Zt3UVczR0+1QpceOGF7sKrC6ICmvA+Mv369XO1AK1bt3a1EqpVCG9eUu2NXuff9B7Hjh1zC5rFSrUcPgVZ4tdCpOc96tata6tXr7ZvvvnGNcFoW6oxiXXVYD+Y8KkGRkFWnTp1rFSpUi4Pqp1JrS9Ranlft26d61/TuHHj0GtUQ1a6dOmI7SjfClpk+/btrolL5QIQfwhgADMrUqSoVatxmrup34Z+3av/hZqJRH1NVEOg5hHVzKh5RM05iYmJoW088sgjtmbNGldDomYZBQeqffAv7Hfeeadr+vFvumivX7/eTj/99Jjz6TdJid9/RBf5E3kP1TKpzKr9UBOPAgn1GYklsCpWrFjEfQUvKvOTTz5pX331lctDgwYNIvZTUjJq/6iZ6eeff3bHS82A6iujfjUA4g9NSEASFBzown7gwAF3f+HChVa9enUXtPjCa2d86peimzqpqn+KagM6dOjgag7Ud0a1Bpklo95DgZf4HWjVhKQRRrH4+uuvXcdfldkPTNT8Ey6p7aWWdzUNqa+PAkd1GhY1nUWPllKfJc2bo/2uIKZ79+4xlxtAsFADA5hZYuIh+3PHdndTk0efPn3cxVfNKaK+FmoGUZ8XNQ2pf4ZfuyIKdNTHQx1MFdjoQq7+GmpK8UcwKQhSGtUuqGbh448/TnMn3pSk5z3U/0UdkRcvXuzyrfz37t3bBWF+Xx7199HzCkT+/PPPUI1PUrSfVIvj16Dccsstx6XX9ubPn2+//fab214seVde1DR3xx13uCY+BTL6v0YkhY9k8puR3njjDXccu3XrdkL7FEAO5sWp3bt3eyqe/iLzHThwwFu7dq37m5Ot2LLzuNvV13dy54p/O+mkk7xzzz3Xe//99yNe279/f69s2bJe8eLFvZtuuskbNWqUV7JkSffcoUOHvJtvvtmrWrWqV7BgQa9y5crePffcE7E/lixZ4l122WXu9cWKFfMaNmzoPfHEE6Hnq1ev7rbpU14+/PBD9/+NGze6+999913o+Z07d7rH5syZE/N7RHv11Ve9li1beuXKlXP5rlatmnfrrbd6mzZtCqVZt26d17RpU69IkSLu/ZQXvaf+rzyE03PantJqX4wZM8Zr3ry5d99994XSLFq0yOWrUKFCbhux5n3r1q1eu3bt3Ou0ryZPnuyVL1/eGzduXEQejh075p6/4oorki03gJx7zYj1+p1H/1gc0oRcGkGxe/duNycHMtfBgwddnwn1OYh1RE12WPnrrlTTNKxSKkvyghPz66+/uiHdGp3UqlWr0OOqOTvllFNcM9J1112XrXkEkPZrRqzXb/rAAAgEdYxWcKJOwZrrRUOl1Rx1ySWXuOfVVKUmqWeffdaNgLr66quzO8sAMhEBDIBA0Ky6Dz74oBtlpHlkNO/LpEmTQiOz1EdJv+Y0UZ5GUrGsARDf+IQDCATNC6NbclQbE6ct4gCSwCgkAAAQOAQwyFD8AgYAZMW1ggAGGcLvh6CF8wAASIl/rQifXTyt6AODDKEF+jTyw1+XR4v/RU8wlhN4R1Ke0t4f3gcAyJyaFwUvulbomqFrR3oRwCDD+KsL+0FMTrRj5/9bGiAlBQ8UyZK8AEBuVapUqSRXuE8LAhhkGNW4aIXk8uXLuyGvOVHPD+ammmbW/S2yJC8AkBsVKFDghGpefAQwyHA6MTPi5MwMv+1NfVHCnDyTMADg/6ETLwAACBwCGAAAEDgEMAAAIHAIYAAAQOAQwAAAgMAhgAEAAPEdwDzyyCNuro/wW+3atSNmMO3du7eVLVvWihcvbh07drTt27dHbENL3rdv397N1Kr5Qvr3729HjhyJSDN37lxr3LixFSpUyGrWrGkTJ0480XICAIDcXANTr149+/3330O3BQsWhJ7r27evffrpp/bee+/ZvHnzbOvWrXbdddeFnj969KgLXhITE23hwoX2xhtvuOBk6NChoTQbN250aVq2bGnLly+3hIQE69mzp82YMSMjygsAAOJAmieyy58/f5LT/+7evdtef/11mzx5sl166aXusQkTJlidOnXsm2++saZNm9oXX3xha9eutS+//NIqVKhgZ511lj322GM2cOBAV7tTsGBBGzdunNWoUcOeffZZtw29XkHSqFGjrG3bthlRZgAAkNtqYNavX2+VK1e20047zTp37uyahGTZsmVu+vjWrVuH0qp5qVq1arZo0SJ3X38bNGjgghefgpI9e/bYmjVrQmnCt+Gn8beRnEOHDrnthN8AAEB8SlMAc/7557smn+nTp9vYsWNdc8/FF19se/futW3btrkaFC3QFE7Bip4T/Q0PXvzn/edSSqOA5MCB5BfiGz58uJUsWTJ0q1q1alqKBgAA4rUJqV27dqH/N2zY0AU01atXtylTpliRItm7gu/gwYOtX79+ofsKeAhiAACITyc0jFq1LWeeeaZt2LDB9YtR59xdu3ZFpNEoJL/PjP5Gj0ry76eWpkSJEikGSRqxpDThNwAAEJ9OKIDZt2+f/fTTT1apUiVr0qSJWyJ71qxZoefXrVvn+sg0a9bM3dffVatW2Y4dO0JpZs6c6YKNunXrhtKEb8NP428DAAAgTQHMAw884IZHb9q0yQ2D7tChg+XLl886derk+p306NHDNePMmTPHdert3r27Czw0AknatGnjApUuXbrYihUr3NDoIUOGuLljVIMivXr1sp9//tkGDBhgP/zwg7388suuiUpDtAEAANLcB+bXX391wcpff/1l5cqVs4suusgNkdb/RUOd8+bN6yaw06ggjR5SAOJTsDN16lS76667XGBTrFgx69atmw0bNiyURkOop02b5gKW559/3qpUqWLjx49nCDUAAAjJ43meZ3FInXhVK6T5aegPA9+pg6almmbTiPZZkhcAQPqv36yFBAAAAocABgAABA4BDAAACBwCGAAAEDgEMAAAIHAIYAAAQOAQwAAAgMAhgAEAAIFDAAMAAAKHAAYAAAQOAQwAAAgcAhgAABA4BDAAACBwCGAAAEDgEMAAAIDAIYABAACBQwADAAAChwAGAAAEDgEMAAAIHAIYAAAQOAQwAAAgcAhgAABA4BDAAACAwCGAAQAAgUMAAwAAAocABgAABA4BDAAACBwCGAAAEDgEMAAAIHAIYAAAQODkz+4MAFkpIf/7MaRqnwU5AQCcCGpgAABA4BDAAACAwCGAAQAAgUMAAwAAAocABgAABA4BDAAACBwCGAAAEDgEMAAAIHAIYAAAQOAQwAAAgMAhgAEAAIFDAAMAAAKHAAYAAAQOAQwAAAgcAhgAABA4BDAAACBwCGAAAEDgEMAAAIDAIYABAAC5K4AZMWKE5cmTxxISEkKPHTx40Hr37m1ly5a14sWLW8eOHW379u0Rr9u8ebO1b9/eihYtauXLl7f+/fvbkSNHItLMnTvXGjdubIUKFbKaNWvaxIkTTySrAAAgjqQ7gFm6dKm98sor1rBhw4jH+/bta59++qm99957Nm/ePNu6datdd911oeePHj3qgpfExERbuHChvfHGGy44GTp0aCjNxo0bXZqWLVva8uXLXYDUs2dPmzFjRnqzCwAAcnsAs2/fPuvcubO99tprVrp06dDju3fvttdff92ee+45u/TSS61JkyY2YcIEF6h88803Ls0XX3xha9eutbfeesvOOussa9eunT322GP20ksvuaBGxo0bZzVq1LBnn33W6tSpY/fcc49df/31NmrUqIwqNwAAyG0BjJqIVEPSunXriMeXLVtmhw8fjni8du3aVq1aNVu0aJG7r78NGjSwChUqhNK0bdvW9uzZY2vWrAmlid620vjbSMqhQ4fcNsJvAAAgPuVP6wveeecd+89//uOakKJt27bNChYsaKVKlYp4XMGKnvPThAcv/vP+cymlUVBy4MABK1KkyHHvPXz4cHv00UfTWhwAABDvNTBbtmyx++67zyZNmmSFCxe2nGTw4MGuCcu/Ka8AACA+pSmAURPRjh073Oig/Pnzu5s66r7wwgvu/6olUT+WXbt2RbxOo5AqVqzo/q+/0aOS/PuppSlRokSStS+i0Up6PvwGAADiU5oCmFatWtmqVavcyCD/ds4557gOvf7/CxQoYLNmzQq9Zt26dW7YdLNmzdx9/dU2FAj5Zs6c6QKOunXrhtKEb8NP428DAADkbmnqA3PSSSdZ/fr1Ix4rVqyYm/PFf7xHjx7Wr18/K1OmjAtK+vTp4wKPpk2buufbtGnjApUuXbrY008/7fq7DBkyxHUMVi2K9OrVy8aMGWMDBgyw2267zWbPnm1TpkyxadOmZVzJAQBA7unEmxoNdc6bN6+bwE4jgzR66OWXXw49ny9fPps6dardddddLrBRANStWzcbNmxYKI2GUCtY0Zwyzz//vFWpUsXGjx/vtgUAAJDH8zzP4pBGLJUsWdJ16KU/DHyjh3RPNU3C4xOyJC8AgPRfv1kLCQAABA4BDAAACBwCGAAAEDgEMAAAIHAIYAAAQOAQwAAAgMAhgAEAAIFDAAMAAAKHAAYAAAQOAQwAAAgcAhgAABA4BDAAACBwCGAAAEDgEMAAAIDAIYABAACBQwADAAAChwAGAAAEDgEMAAAIHAIYAAAQOAQwAAAgcAhgAABA4BDAAACAwCGAAQAAgUMAAwAAAocABgAABA4BDAAACBwCGAAAEDgEMAAAIHAIYAAAQOAQwAAAgMAhgAEAAIFDAAMAAAKHAAYAAAQOAQwAAAgcAhgAABA4BDAAACBwCGAAAEDgEMAAAIDAIYABAACBQwADAAAChwAGAAAEDgEMAAAIHAIYAAAQOAQwAAAgcAhgAABA4BDAAACAwCGAAQAAgUMAAwAAAocABgAAxHcAM3bsWGvYsKGVKFHC3Zo1a2aff/556PmDBw9a7969rWzZsla8eHHr2LGjbd++PWIbmzdvtvbt21vRokWtfPny1r9/fzty5EhEmrlz51rjxo2tUKFCVrNmTZs4ceKJlhMAAOTWAKZKlSo2YsQIW7ZsmX377bd26aWX2jXXXGNr1qxxz/ft29c+/fRTe++992zevHm2detWu+6660KvP3r0qAteEhMTbeHChfbGG2+44GTo0KGhNBs3bnRpWrZsacuXL7eEhATr2bOnzZgxIyPLDQAAAiyP53neiWygTJkyNnLkSLv++uutXLlyNnnyZPd/+eGHH6xOnTq2aNEia9q0qautufLKK11gU6FCBZdm3LhxNnDgQPvjjz+sYMGC7v/Tpk2z1atXh97j5ptvtl27dtn06dNjzteePXusZMmStnv3bldbBMjoId1TTZPw+IQsyQsAIP3X7/yWTqpNUU3L/v37XVOSamUOHz5srVu3DqWpXbu2VatWLRTA6G+DBg1CwYu0bdvW7rrrLleLc/bZZ7s04dvw06gmJiWHDh1yt/AdACATzRmeepqWg7MiJwByoTR34l21apXr36L+Kb169bIPP/zQ6tata9u2bXM1KKVKlYpIr2BFz4n+hgcv/vP+cymlUUBy4MCBZPM1fPhwF7H5t6pVq6a1aAAAIF4DmFq1arm+KYsXL3Y1J926dbO1a9dadhs8eLCrbvJvW7Zsye4sAQCATJLmJiTVsmhkkDRp0sSWLl1qzz//vN10002uc676qoTXwmgUUsWKFd3/9XfJkiUR2/NHKYWniR65pPtqBytSpEiy+VKNkG4AACD+nfA8MMeOHXN9TxTMFChQwGbNmhV6bt26dW7YtPrIiP6qCWrHjh2hNDNnznTBiZqh/DTh2/DT+NsAAADIn9Zmmnbt2rmOuXv37nUjjjRni4Y4q99Jjx49rF+/fm5kkoKSPn36uMBDHXilTZs2LlDp0qWLPf30066/y5AhQ9zcMX7tifrVjBkzxgYMGGC33XabzZ4926ZMmeJGJgHIIZ1zASBIAYxqTrp27Wq///67C1g0qZ2Cl8suu8w9P2rUKMubN6+bwE61Mho99PLLL4deny9fPps6darrO6PAplixYq4PzbBhw0JpatSo4YIVzSmjpinNPTN+/Hi3LQAAgAyZByanYh4YJIV5YLK4BoZh1ABy2jwwAILn1EGpN8VuorITQACwmCMAAAgcamCAXCQh//sxpDozC3ICACeGAAZAhNGzfowpXUIrAh0A2YcmJAAAEDjUwADItJqahJZZkhUAuRA1MAAAIHCogQGQvXPKMFcMgHQggAFy0RwvCXziAcQJmpAAAEDgEMAAAIDAIYABAACBQwADAAAChwAGAAAEDgEMAAAIHAIYAAAQOMwKAeSqlaYBID5QAwMAAAKHAAYAAAQOAQwAAAgc+sAAyDSjZ/2YapqEllmSFQBxhhoYAAAQONTAAAHAStMAEIkaGAAAEDgEMAAAIHAIYAAAQOAQwAAAgMAhgAEAAIFDAAMAAAKHAAYAAAQOAQwAAAgcAhgAABA4zN0JIHvNGZ56mpaDsyInAAKEGhgAABA4BDAAACBwCGAAAEDgEMAAAIDAIYABAACBQwADAAAChwAGAAAEDgEMAAAIHCayAwIgIf/72Z0FAMhRqIEBAACBQwADAAAChyYkIJudOmhaqmkS+KQCQAS+FgFkq9Gzfkw1TULLLMkKgAChCQkAAAQOAQwAAAgcAhgAABA4BDAAACC+A5jhw4fbueeeayeddJKVL1/err32Wlu3bl1EmoMHD1rv3r2tbNmyVrx4cevYsaNt3749Is3mzZutffv2VrRoUbed/v3725EjRyLSzJ071xo3bmyFChWymjVr2sSJE0+knAAAILcGMPPmzXPByTfffGMzZ860w4cPW5s2bWz//v2hNH379rVPP/3U3nvvPZd+69atdt1114WeP3r0qAteEhMTbeHChfbGG2+44GTo0KGhNBs3bnRpWrZsacuXL7eEhATr2bOnzZgxI6PKDQAAcssw6unTp0fcV+ChGpRly5bZJZdcYrt377bXX3/dJk+ebJdeeqlLM2HCBKtTp44Lepo2bWpffPGFrV271r788kurUKGCnXXWWfbYY4/ZwIED7ZFHHrGCBQvauHHjrEaNGvbss8+6bej1CxYssFGjRlnbtm0zsvwAACC39YFRwCJlypRxfxXIqFamdevWoTS1a9e2atWq2aJFi9x9/W3QoIELXnwKSvbs2WNr1qwJpQnfhp/G30ZSDh065LYRfgMAAPEp3QHMsWPHXNPOhRdeaPXr13ePbdu2zdWglCpVKiKtghU956cJD1785/3nUkqjoOTAgQPJ9s8pWbJk6Fa1atX0Fg0AAMRrAKO+MKtXr7Z33nnHcoLBgwe7GiH/tmXLluzOEgAAyElLCdxzzz02depUmz9/vlWpUiX0eMWKFV3n3F27dkXUwmgUkp7z0yxZsiRie/4opfA00SOXdL9EiRJWpEiRJPOk0Uq6AQCA+JemAMbzPOvTp499+OGHbpizOtqGa9KkiRUoUMBmzZrlhk+Lhllr2HSzZs3cff194oknbMeOHa4DsGhEk4KTunXrhtJ89tlnEdtWGn8bAHKZOcNTT9NycFbkBEAQAxg1G2mE0ccff+zmgvH7rKjPiWpG9LdHjx7Wr18/17FXQYkCHgUeGoEkGnatQKVLly729NNPu20MGTLEbduvQenVq5eNGTPGBgwYYLfddpvNnj3bpkyZYtOmpb5qLwAAiH9p6gMzduxY17+kRYsWVqlSpdDt3XffDaXRUOcrr7zS1cBoaLWagz744IPQ8/ny5XPNT/qrwOYf//iHde3a1YYNGxZKo5odBSuqdWnUqJEbTj1+/HiGUAMAgPQ1IaWmcOHC9tJLL7lbcqpXr35cE1E0BUnfffddWrIHBFJC/vezOwsAEDishQQAAAKHAAYAAAQOAQwAAAgcAhgAABA4BDAAACBwCGAAAEDgEMAAAIDAIYABAACBQwADAAByx2rUAJCVRs/6MdU0CS2zJCsAcghqYAAAQOAQwAAAgMChCQnIJKcOmhZTugQ+hQCQZtTAAACAwCGAAQAAgUPlNYD4MGd4bOlaDs7snADIAtTAAACAwCGAAQAAgUMAAwAAAocABgAABA4BDAAACBwCGAAAEDgEMAAAIHAIYAAAQOAQwAAAgMAhgAEAAIHDUgJAJknI/352ZwEA4hY1MAAAIHCogQEQF0bP+jGmdAktMz0rALIANTAAACBwCGAAAEDgEMAAAIDAIYABAACBQwADAAACh1FIQDqcOmhaqmkS+HQBQKahBgYAAAQOAQwAAAgcAhgAABA4tNIDyF3mDE89TcvBWZETACeAGhgAABA4BDAAACBwCGAAAEDgEMAAAIDAIYABAACBQwADAAAChwAGAAAEDvPAAMhVRs/6MdU0CS2zJCsATgA1MAAAIHAIYAAAQOAQwAAAgPgPYObPn29XXXWVVa5c2fLkyWMfffRRxPOe59nQoUOtUqVKVqRIEWvdurWtX78+Is1///tf69y5s5UoUcJKlSplPXr0sH379kWkWblypV188cVWuHBhq1q1qj399NPpLSOQ4RLyv5/qDQCQgwKY/fv3W6NGjeyll15K8nkFGi+88IKNGzfOFi9ebMWKFbO2bdvawYMHQ2kUvKxZs8ZmzpxpU6dOdUHRHXfcEXp+z5491qZNG6tevbotW7bMRo4caY888oi9+uqr6S0nAADIzaOQ2rVr525JUe3L6NGjbciQIXbNNde4x/79739bhQoVXE3NzTffbN9//71Nnz7dli5dauecc45L8+KLL9oVV1xhzzzzjKvZmTRpkiUmJtq//vUvK1iwoNWrV8+WL19uzz33XESgAwAAcqcMHUa9ceNG27Ztm2s28pUsWdLOP/98W7RokQtg9FfNRn7wIkqfN29eV2PToUMHl+aSSy5xwYtPtThPPfWU7dy500qXLn3cex86dMjdwmtxACBd5gxPPU3LwVmREwBZ0YlXwYuoxiWc7vvP6W/58uUjns+fP7+VKVMmIk1S2wh/j2jDhw93wZJ/U78ZAAAQn+JmFNLgwYNt9+7doduWLVuyO0sAACAIAUzFihXd3+3bt0c8rvv+c/q7Y8eOiOePHDniRiaFp0lqG+HvEa1QoUJuVFP4DQAAxKcMDWBq1KjhAoxZs2ZF9EVR35ZmzZq5+/q7a9cuN7rIN3v2bDt27JjrK+On0cikw4cPh9JoxFKtWrWS7P8CAABylzQHMJqvRSOCdPM77ur/mzdvdvPCJCQk2OOPP26ffPKJrVq1yrp27epGFl177bUufZ06dezyyy+322+/3ZYsWWJff/213XPPPa6Dr9LJLbfc4jrwan4YDbd+99137fnnn7d+/fpldPkBAEBuGIX07bffWsuW/1vpzA8qunXrZhMnTrQBAwa4uWI03Fk1LRdddJEbNq0J6XwaJq2gpVWrVm70UceOHd3cMT51wv3iiy+sd+/e1qRJEzv55JPd5HgMoQYAAOkKYFq0aOHme0mOamGGDRvmbsnRiKPJkyen+D4NGza0r776iqMEAADidxQSAADIPTJ0IjsAiAejZ/2YapqE/7WkA8gGBDBAlFMHTUs1TQKfHADIVjQhAQCAwCGAAQAAgUMAAwAAAoeWfABID1asBrIVAQwQJSH/+9mdBQBAKmhCAgAAgUMAAwAAAocABgAABA4BDAAACBwCGAAAEDgEMAAAIHAIYAAAQOAwDwwApAMrVgPZixoYAAAQOAQwAAAgcAhgAABA4BDAAACAwKETLwBkFlasBjINNTAAACBwCGAAAEDgEMAAAIDAIYABAACBQydeAMgkzNYLZB5qYAAAQOAQwAAAgMChCQkAcvpcMcJ8MUAEamAAAEDgUAOD3PdLFgAQeNTAAACAwKEGBgBy+FBrYbg1EIkaGAAAEDgEMAAAIHBoQkLOR+dcILbPAUOtkYtQAwMAAAKHGhgACADWVQIiUQMDAAAChxoYAIgX9JNBLkIAg1w3nwYAIPgIYJC9GGEEZBj6ySA3IYABgNyEZibECQIYZB5qV4Ach1oaxAtGIQEAgMChBgY5Hp1zAQDRCGCQPjQPAfGLfjIIAAIYHI/gBMjVYuonYzF+TxDoIJMQwAAAMq1plw7ByJUBzEsvvWQjR460bdu2WaNGjezFF1+08847L7uzFVxZXLNC3xUAo4d0TzVNwuMTsiQviC85NoB59913rV+/fjZu3Dg7//zzbfTo0da2bVtbt26dlS9fPruzl/PQ7AMgoAhykB55PM/zLAdS0HLuuefamDFj3P1jx45Z1apVrU+fPjZo0KBUX79nzx4rWbKk7d6920qUKGGBRs0JAKSKICc+xHr9zpE1MImJibZs2TIbPPh/nb/y5s1rrVu3tkWLFiX5mkOHDrmbTwX3d0SGm/+s5TQvz9uQ3VkAgGw1on/nVNPc3bxmbBu75P4TzxDSxb9up1a/kiMDmD///NOOHj1qFSpUiHhc93/44YckXzN8+HB79NFHj3tctTYAAMjgZ2JNOSxzM4JU7d2719XEBCqASQ/V1qjPjE9NTv/973+tbNmylidPngyNDBUUbdmyJfhNU7m0jJQv+OK9jPFevtxQRsqXfqp5UfBSuXLlFNPlyADm5JNPtnz58tn27dsjHtf9ihUrJvmaQoUKuVu4UqVKZVoedcDi8aTMTWWkfMEX72WM9/LlhjJSvvRJqeYlR6+FVLBgQWvSpInNmjUrokZF95s1a5ateQMAANkvR9bAiJqDunXrZuecc46b+0XDqPfv32/du6c+3A4AAMS3HBvA3HTTTfbHH3/Y0KFD3UR2Z511lk2fPv24jr1ZTc1UDz/88HHNVfEk3stI+YIv3ssY7+XLDWWkfLl4HhgAAIBA9YEBAABICQEMAAAIHAIYAAAQOAQwAAAgcAhgAABA4OT6AEbLDXTu3NnNJKiZe3v06GH79u1L8TUHDx603r17u2UKihcvbh07djxu1uB7773XTcanIWYaAp6UlStX2sUXX2yFCxd2UzI//fTTFqQybt682dq3b29Fixa18uXLW//+/e3IkSOh5+fOneuWcYi+aVj8iXjppZfs1FNPdftNq5YvWbIkxfTvvfee1a5d26Vv0KCBffbZZxHPayCehutXqlTJihQp4hYNXb9+/Qnvw6CVUe8XfaxGjBgRiPJ98MEH1qZNm9DSIcuXL0/XOR3k8rVo0eK449erVy/LLBlZxsOHD9vAgQPd48WKFXNTyHft2tW2bt2abZ/D7ChfkD+DjzzyiHte5StdurT7jlm8eHHmHj8vl7v88su9Ro0aed9884331VdfeTVr1vQ6deqU4mt69erlVa1a1Zs1a5b37bffek2bNvUuuOCCiDR9+vTxxowZ43Xp0sVtP9ru3bu9ChUqeJ07d/ZWr17tvf32216RIkW8V155JRBlPHLkiFe/fn2vdevW3nfffed99tln3sknn+wNHjw4lGbOnDkaou+tW7fO+/3330O3o0ePprss77zzjlewYEHvX//6l7dmzRrv9ttv90qVKuVt3749yfRff/21ly9fPu/pp5/21q5d6w0ZMsQrUKCAt2rVqlCaESNGeCVLlvQ++ugjb8WKFd7VV1/t1ahRwztw4MAJ7cOglbF69eresGHDIo7Vvn37AlG+f//7396jjz7qvfbaa+6c0zmZns9tkMvXvHlz917hx0/fM5kho8u4a9cu913y7rvvej/88IO3aNEi77zzzvOaNGkSsZ2s+hxmV/mC/BmcNGmSN3PmTO+nn35y17QePXp4JUqU8Hbs2JFpxy9XBzA6EPoyWLp0aeixzz//3MuTJ4/322+/JfkanYg6cO+9917ose+//95tRydltIcffjjJAObll1/2Spcu7R06dCj02MCBA71atWp5QSijApa8efN627ZtC6UZO3asO2H9MvkBzM6dOzOsPPrQ9+7dO3RfwVDlypW94cOHJ5n+xhtv9Nq3bx/x2Pnnn+/deeed7v/Hjh3zKlas6I0cOTKi/IUKFXJBZXr3YdDK6H95jho1ystsGV2+cBs3bkzyAp/Wz23QyucHMPfdd5+XFTKzjL4lS5a4sv7yyy9Z/jnMjvLFy2fQp+BZ5fvyyy8z7fjl6iakRYsWuWosLVfgU7VX3rx5j6v68i1btsxVByqdT9Vm1apVc9tLy3tfcsklbt0nX9u2bW3dunW2c+fOdJcpq8qov6pGDJ8ZWfnXCqVr1qyJ2J6a0NR0cdlll9nXX3+d7rIkJia6vIXnS+XQ/eT2vR4PT+/n00+/ceNG16QVnkaLiKlKNbysad2HQSujT9XVaqY4++yzbeTIkRFNgjm1fLHIqM9tTi2fb9KkSW4x3Pr169vgwYPt77//toyWVWXcvXu3a0LxF+XNqs9hdpUvnj6DiYmJ9uqrr7rvmUaNGmXa8cuxSwlkBX2pq+9GuPz581uZMmWS7aehxxV0RJ90upCnpW+H0taoUeO4bfjPqQ0xJ5dRf6OXdQjPvyhoGTdunDthDx06ZOPHj3ft9DpZGzdunOay/Pnnn3b06NEk3/eHH35ItixJpQ8vR3jek0uT1n2YXtlVRr/flo6LyrVw4UJ3Afz999/tueeey9Hli0VGfW5zavnklltuserVq7v+Fepfpz4X+kGk/jMZKSvKqP5Kyn+nTp1CKx1n1ecwu8oXD5/BqVOn2s033+wCZ33/z5w50wXUmXX84jKAGTRokD311FMppvn+++8tyIJQxlq1armb74ILLrCffvrJRo0aZW+++Wa25g1JL6Dqa9iwobvg33nnnTZ8+PC4Xc8lntxxxx2h/6t2VBeQVq1auc/c6aefbkGhmrIbb7zRdTwfO3asxZuUyhf0z2DLli1dB3MFSa+99porp36wRgcuGSUuA5j777/fbr311hTTnHbaaVaxYkXbsWNHxOOqrlNPaT2XFD2u6rFdu3ZF/JrTaIbkXpPcdqJHQPj3Y9lOdpdRf6N7rceSf60svmDBAksPRfL58uVLcr+lVJaU0vt/9Zi+8MPT+KPH0rMP0yu7ypgUNTGpnJs2bYoIRHNa+WKRUZ/bnFq+5I6fbNiwIUMDmMwso39x/+WXX2z27NkRtRNZ9TnMrvLFw2ewWLFiVrNmTXdr2rSpnXHGGfb666+7mqTMOH5x2QemXLlyrn07pZsi22bNmrkvNLUH+nRSHTt2LPThj6ah0QUKFLBZs2aFHlM1rYYUa3uxUtr58+e7E9qn6jadpLE0H2V3GfV31apVESek8q8PZN26dZPNt6Lz8ItoWqg8ylt4vlQO3U9u3+vx8PR+Pv30asbThyc8jfrx6FdDeFnTug/TK7vKmNyxUvt0Rv56yozyxSKjPrc5tXxJ8Ydap/fzltVl9C/uGt7/5Zdfun4g0dvIis9hdpUvHj+Dx44dc90HMu34ebmchnWdffbZ3uLFi70FCxZ4Z5xxRsSwrl9//dWNDNLz4cMxq1Wr5s2ePdsNx2zWrJm7hVu/fr0bKaBe2meeeab7v27+CB2NitAwag2z1pAzDWsrWrRopg2jzugy+sOo27Rp4y1fvtybPn26V65cuYhh1OpNr2G72hcabqcREhq55PdKTw/tJ42emThxouvVfscdd7jhf/5oKO3PQYMGRQz/y58/v/fMM8+4UScaFZbUEGNt4+OPP/ZWrlzpXXPNNUkOo05pH2ak7CjjwoUL3fHSsdQwyLfeessdz65duwaifH/99Zf7fE2bNs2NdNB76L6GoablcxvU8m3YsMENv1W5NFJJx/m0007zLrnkkgwvX2aUMTEx0Q3tr1KlijsHw4cRh4/UzKrPYXaUL8ifwX379rnvfo3o27RpkzsPu3fv7t5D17fMOn65PoDRF4N2YPHixd0QYO30vXv3HjdsUUOCffrSv/vuu90waAUdHTp0iPii9Ic06nXRN23Pp/k4LrroIneQTznlFHeRCVIZdaK2a9fOzV+jOWDuv/9+7/Dhw6Hnn3rqKe/000/3Chcu7JUpU8Zr0aKFu3icqBdffNFdiDSPgYYDak6B8P3erVu3iPRTpkxxQaTS16tXz10EwmmY8UMPPeQCSh2LVq1aublr0rIPM1pWl3HZsmVuWKTmitHxqlOnjvfkk096Bw8eDET5JkyYkOTnTV+0aTmng1q+zZs3u2BFnzMdX82v0b9//0ybByajy+h/ByV1C/9eysrPYVaXL8ifwQMHDrjPk4Zi6/lKlSq5gE1DxcNl9PHLo3/SV3cDAACQPeKyDwwAAIhvBDAAACBwCGAAAEDgEMAAAIDAIYABAACBQwADAAAChwAGAAAEDgEMAAAIHAIYAAAQOAQwAAAgcAhgAACABc3/B7DafXWRuxr0AAAAAElFTkSuQmCC", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bins = np.linspace(-0.01, 0.03, 50)\n", "plt.hist(returns_2, bins=bins, label=\"Baseline Strategy with Cleaning Negative Returns\")\n", "plt.hist(returns_1, bins=bins, alpha=0.5, label=\"Baseline Strategy\")\n", "plt.legend()\n", "plt.title(\"Histogram of Returns - 2\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This actually reduced the sharpe by a tiny bit because it increased the right tail so much. \n", "\n", "### But this inspired an idea to only trade the asset which would have the highest expected return" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Sharpe: 1.4103444318523786\n" ] } ], "source": [ "class Allocator():\n", " window_length = 500 \n", " def __init__(self, train_data):\n", " '''\n", " Anything data you want to store between days must be stored in a class field\n", " '''\n", " self.running_price_paths = train_data.copy()\n", " \n", " self.train_data = train_data.copy()\n", "\n", " self.tick_number = len(self.running_price_paths) - 1\n", " # Do any preprocessing here -- do not touch running_price_paths, it will store the price path up to that data\n", " \n", " \n", " def allocate_portfolio(self, asset_prices):\n", " '''\n", " asset_prices: np array of length 6, prices of the 6 assets on a particular day\n", " weights: np array of length 6, portfolio allocation for the next day\n", " '''\n", " self.running_price_paths = pd.concat([self.running_price_paths, pd.DataFrame([asset_prices])], ignore_index=True)\n", " self.tick_number += 1\n", "\n", " # No allocation on this turn - unknown market conditions\n", " idx = self.tick_number % 10\n", " if idx == 0:\n", " return np.array([0.0, 0.0, 0.0, 0.0, 0.0, 0.0]) \n", " else: \n", " recent_data = self.running_price_paths[['Asset_4', 'Asset_5', 'Asset_6']].tail(idx+1).copy()\n", " recent_data['Asset_4_ret'] = recent_data['Asset_4'].pct_change()\n", " recent_data['Asset_5_ret'] = recent_data['Asset_5'].pct_change()\n", " recent_data['Asset_6_ret'] = recent_data['Asset_6'].pct_change()\n", " recent_data = recent_data.dropna() \n", " means = recent_data[['Asset_4_ret', 'Asset_5_ret', 'Asset_6_ret']].mean()\n", " abs_means = means.abs()\n", " max_idx = abs_means.idxmax()\n", " column_to_index = {'Asset_4_ret': 3, 'Asset_5_ret': 4, 'Asset_6_ret': 5}\n", " answer = np.zeros(6) \n", " answer[column_to_index[max_idx]] = 1 * np.sign(means[max_idx])\n", " return answer\n", "\n", "sharpe_3, returns_3 = grading(TRAIN, TEST)\n", "print(f\"Sharpe: {sharpe_3}\")" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bins = np.linspace(-0.01, 0.03, 50)\n", "plt.hist(returns_3, bins=bins, label=\"Only Trading on the Best Asset\")\n", "plt.hist(returns_2, bins=bins, alpha=0.5, label=\"Previous Strategy\")\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This reduced the variance by a large amount and was a modest improvement over the previous strategy in terms of sharpe. \n", "\n", "## Optimization 2: Reducing the variance from the right tail\n", "\n", "Acknowledging that my goal was solely to maximize the Expected Return over the Variance, and noticing the pattern that I could reduce the variance with the return, I had a hypothesis that I may be able to increase the sharpe by capping the return. I figured that somewhere, the additional value of return I was getting was actually increasing the variance faster then it was increasing the expected value. \n", "\n", "I optimized over all the possible values from the 0 to the max return I was getting and found that (interestingly enough) \"capping\" near the mean massively reduced the variance. \n", "\n", "I still wanted to trade the asset with the largest absolute return since it tended to be the most stable. This may have been a mistake on the higher idxs such as 5-9, when I might've wanted to compare the variance of all the assets above the target return" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Sharpe: 1.570664284653834\n" ] } ], "source": [ "class Allocator():\n", " window_length = 500 \n", " def __init__(self, train_data):\n", " '''\n", " Anything data you want to store between days must be stored in a class field\n", " '''\n", " self.running_price_paths = train_data.copy()\n", " \n", " self.train_data = train_data.copy()\n", "\n", " self.tick_number = len(self.running_price_paths) - 1\n", " # Do any preprocessing here -- do not touch running_price_paths, it will store the price path up to that data\n", " \n", " \n", " def allocate_portfolio(self, asset_prices):\n", " '''\n", " asset_prices: np array of length 6, prices of the 6 assets on a particular day\n", " weights: np array of length 6, portfolio allocation for the next day\n", " '''\n", " self.running_price_paths = pd.concat([self.running_price_paths, pd.DataFrame([asset_prices])], ignore_index=True)\n", " self.tick_number += 1\n", "\n", " # No allocation on this turn - unknown market conditions\n", " idx = self.tick_number % 10\n", " if idx == 0: \n", " return np.array([0.0, 0.0, 0.0, 0.0, 0.0, 0.0]) \n", " else: #Note: there is a strong negative autocorelation on the last change in return to this one. see what I can do with that later\n", " assets = ['Asset_4', 'Asset_5', 'Asset_6']\n", " next_returns = [0, 0, 0]\n", " recent_data = self.running_price_paths[assets].tail(idx+1).copy()\n", " for i, asset in enumerate(assets):\n", " value = recent_data[asset].pct_change().mean()\n", " next_returns[i] = value\n", "\n", " answer = np.zeros(6)\n", " max_idx = np.argmax(np.abs(next_returns))\n", " expected_return = abs(next_returns[max_idx])\n", " target_return = 0.0036\n", " if expected_return > target_return:\n", " weight = target_return / expected_return\n", " else:\n", " weight = 1\n", " answer[max_idx+3] = weight * np.sign(next_returns[max_idx])\n", " return answer\n", "\n", "sharpe_4, returns_4 = grading(TRAIN, TEST)\n", "print(f\"Sharpe: {sharpe_4}\")" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.8, 0.2, 'Left tail\\ngets killed')" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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GzPnz51fxYD9bt2613X/58mVp0aKF2i5t2rTy/vvvy8WLF9V9qDotWLBAxaNVdrZt26Yu+H9QUJBtP0eOHFG3aY+dP3++2ufKlSulcOHCkihRIrl06ZKKd8SIEfLJJ5+oJeNz5Mghs2bN0vluEXmIqVONjoBINyYyscCjR4/k3XffFT8/Pzl8+LDUq1dPGjVqpE7U9saOHSslSpRQ23zzzTeya9cu6dq1q3zxxRfqxF+7dm357rvvHB7z559/quQH25w8eVK+//57lRRo2x04cMCh0qJdDwsSmLlz56r/a7PMPn/+XOrWrasSCjwv4kNihuNBBQlVJyQ5uK5Vot5++223XyfM4jxq1CiZM2eOnDhxQjJmzKhuHzdunJQtW1a9Lp999pl069ZNAgIC3N4vkSfJ2X+N7TKpVX+H69qFyJOYckK8EP3yi/UCCxeK/O9/In//LVK0qEiPHiJdu1rv69wZZ118zbde/+EH63olOPnlzSsycCA6c7yepwGT7n3//es2afz/6FGRVq2sF52QnOCiQaVj+fLlqvrQA3H/p0aNGvLll1/arn/99ddSv359W7MUqiS7d++W1atX27ZB9aV///7Srl07dR0VGey/X79+MnjwYMmQIYNDpSUsrVq1UjMqP3nyRDXtoCKC5AR+/fVXdRsSDW2mZSRI2DeqLnXq1FGTugUHB7v1XM6QKE2fPt3htQIkgUhg4KuvvpIJEyaoKlGBAgXC/RxEnqTwzfNGh0CkGxMZe86JxZQpjvevXOl4vWnT1/8fMyb0bRs0eP3/4cMlsisyaHZZs2aNqlKg2oFEwbkig6qDPVQd0CRkr3z58g6JzNGjR1VlxL5Sg/4lT58+VRWO8M6MjCShVq1acuHCBenVq5dMnjxZNSFpz3Xu3DlVkbGH5zp/Xv8fXFR+ihcv/sbt9rdpTXY3b97U/XxEMd2N5OmMDoFINyYysQAqKps2bVJNR3nz5lVVC3Side7QmyxZsgglSajKNLVP2v4TkSnukSQgRlxQbUE1BE1WaObBc5UpU0YWohrmRKv8hDZbLdYTsq++OMPr4mpNLUzbbw/bsCMwmcHwmp2NDoFINyYysQAqJhiWrFVXkBBonVxDg6YT5z4tztfRyReVGyQeIUEigCpNeKH6g8QF1Z5Jkyap50LzEpIadEgOqari/FxakoNqVJo0adT/0eeHiEI39Y+R0rnZIKPDINKFnX1jAaxkvGzZMnXyRvPMRx995FZFoWfPnrJ27Vo1Uuns2bOqI++6descqhaDBg2SH3/8UVVl0EH21KlTsnjxYhmIfkD/QT8XdDS+fv263Lt3L1yx+/j4qOf9559/1Mir9OnTq5FK6OyLVZrRN+bzzz+XK1eu2J7rr7/+UsnV7du3VeUFSRZGXqF5DceBJjZ04CUiotiPiUwsgEQElQiM4MFoJYz8QXUjLJjHZebMmerx6AC7fv161W/FvskI+0KfmY0bN6ph3RUrVlT9XLy8vGzbIGlA0xaSiVKlSoUrdoxAypUrl6rKoL/Njh071BBoNGUVKlRIOnbsqPrIaBWazp07q0oS+vugEoNqFCpCv/zyi5w+fVr1d8HIpG+//TZccRCZ0boClYwOgUi3OBb7jgWxyIMHD9R8K/fv33+jmQInRnzbxwk0Iv08YjMkCkgIUBGh2IeffbIfXl3x0l+yN8ebHeAvjrQbnEAUg87frrAiY3LoIKyNFpoyZYqacE4bak1EsVvHA2EvLUIU07Gzr8nt379fRo8eLQ8fPlRzxGA4dKdOnYwOi4iIyC1MZExuyZIlRodARAb5rnpHo0Mg0o1NS0REJvVuwC6jQyDSjYkMEZFJlbp62ugQiKI3kcEcHtqqw/aX7t2720ZE4P/p0qVTi/01a9ZMbty44bAPTJvfoEEDNdQWE5/17dvXtpKyBnOHYPgwVijGHCFYpJCIiCJXUOKwR4QQxapEBrO+aqsO44K5Q+CDDz5QPzEHyapVq+S3336T7du3y9WrVx2mtseMrEhiMHU+FifECBkkKZh0TYOhodimevXqaoI3TJiGzqcbNmyIvKMmIiLp28DH6BCIojeRwQRkWCtHu2CitDx58kjVqlXVeO+5c+eqydWwyjKmnsdaOkhY9u7dqx6PSdWwrs7PP/8sJUuWVCsvYyXladOm2dYFwgRtmOMCk6xhQjSs3ox1gzAJGxERRZ7Zvw8zOgQi4/rIIPFAQvLJJ5+o5iV/f381XTxWNtYULFhQzdK6Z88edR0/ixUrJpkyZXKYORaT32D6e20b+31o22j7CElwcLDaj/2FiIiIYrcID79esWKFBAUFqcUKAevsYEG/1KlTO2yHpAX3advYJzHa/dp9oW2DxOTJkydqBWNXfH191XpAkTXjZXTg7Jn6od8Wmh9xCQnWYMLnlQtJEjnakqe80SEQGVeRQTMSmoayZs0qMcGAAQNU85Z2uXz5ssQ2SBq1DtZYXwhNcP369VOdrN2FjtR4PJLQ2AD9trp06WK7jmND0hIZsHrHrFmzpEKFCqrzOpJ0rPE0ceJE+ffffyPlOYiMFJD+9ZppRKZKZP7++2/ZvHmzwwyw6DOD5ibnEyRGLeE+bRvnUUza9bC2wXoLIVVjACOcsI39JTbCIovoaH3hwgXVbwgrRw8ePNiQWNCUaDT028IIuKjQpk0bVenBatxbt25VFZ1vvvlG/vjjD9Xfi8jTddv3m9EhEBmTyKATL4ZOY3SRBp17USXw8/Oz3RYQEKCGW3t7e6vr+Hns2DG5efOmbRuMfELSUbhwYds29vvQttH2YXZI2JDsYaXpxo0bq/5E2ugxePXqlWpmQ7UGiR9WtV66dKm67+LFi2o0GGC1bFQvtKZBNNGg0mAPHbLRLKPB9jNmzJD33ntPkiVLplasxv3Y7qefflL7wEJfH374oVryQIPnR98oxIOh+Yj58ePHLo8PFQ+s/6TBMeJz9ejRI3X9ypUrKg6sDeUcN/4PTZo0Udto1zWhxehqxuOFCxeqVbX/97//qZW/8VgkNVu2bLG9jqgI1a5dW9KnT6/2i47vhw4dctiX9rqhgonXAEtBaO8JERFFcyKDEyUSGSwsGD/+6y42+CPesWNH6d27t/r2is6/HTp0UAlIxYoV1TZ16tRRCQu+6WKhQgypHjhwoJp7Bido6Nq1q6o2oMkEqzBPnz5dnVQwtJscHT9+XI0KQ98kDZKYH3/8UY3+QgdqvG4ff/yxGg6P5Of333+3JZmo7EyaNClcz4nEBYkCElJ09Ibz58+r5hyMYsMFzzVy5Eh1H56jVatWattTp06ppi0MyQ9p0XUkAtgGsA1W4UaTzs6dO9Vt2Pdbb72l5hdyhqQC8PnE82rXw4rRFSQxBQoUUImLMyQm+LwDkiH8LiA+jM7Lly+fvPvuu28kSajkYF4lfO5bt26tEim8HkRGGlulrdEhEEV/Z180KaHKop3E7KGpI27cuOoPNkYRYbQREhFNvHjx1EmkW7duKsHBt3qcBIYNez0EEJWENWvWqBMwTrLZsmWTOXPmqH2RqNcP/TUwiSBeY7zeU6dOVffh+ogRI9R7pFWw8O0fJ1k0QSFJSJs2rbodFTXnjtnu+Oijj1SC6pzcYj6gFClSqOtIVFFVQ8UGCQViRfLi5WVtj0d1JiTVqlVT/a8w5xASNSRpLVu2VMkNmtXwE8cRUjMT4Li0pkp3YnTl7NmzKpEJC6YasIc+NXh+JEoNGza03Y65lrSmWEw5gCoaVhu3//0gim6VAw9JQAbHyiVRrE9kUFUJ6dt04sSJ1ZwwuIQEJ7O1a9eG+hw4mR0+fDi8oZkCmjTQTIGmGSSOqIohcQQ0t6ATKpo67KHvUqlSpSLl+dH04wxNLlqCAFmyZLE1H6Jpq2bNmip5QTKKzw/mBULTliuVK1dW1Qy8/6g2IWnB50GrniBBwGzQ4RVajK6E9Bl3hv5bqCoiwcL+kIDhPUCyb8+5aRTXOYqKjFbh8nGZU/71pKVEnoirX3sYVLG0ZpUffvhBJQqoYKBZT+tHgooWml/saU13IUFlx/nk7aozL57fGfqwODe9oAKiVeFQfUBSgg6yqEJ8/fXXsm/fPlV9c4ZqBo4JiQHmDkJSVqVKFVWVOXPmjKqUhFSRCU1oMbqSP39+1bQZFlQU79y5o6qHSNLxOiNJ0SZ4JIrJ/k0Q8gAKIk/BRSM9GJIPdERFRQBz7KD/EU6kqAYg2bG/oH8MaP1pUDlwbpZBM5AG8/ZguYjIgKShUqVKap4fVFoQw/Lly0PcHokK+lnt2LFDVWPQHIZZntEMhEoKkozQEhbnY4sINKEhccIIJWdI+DDEH3bt2iWff/656hdTpEgR9frfvn37jcdos1vbX8cxERnpi/fCX90kimmYyHg49L1A1QPNeWg66dOnj+pfhHWs0MEVI2hQBcF1QNUAiQX62ty6dctWxUFfD4zqQedadORFpQH71QuVF/TbOXjwoEqwli1bpp43tJM4khd0BEezGWaH1m5DB9ywqjFoQkLfF0yseO/evQjH3aJFC1UFQkdlLX5MO4DXDaOukGgBOvfidUPHXRwrOvK6miYA64+hgobkCMPl9+/fr5bfIDLStBW+RodApBubljx8pl2c7HFCHD16tOpEjY6kqK5g9BJGf6GpBiuJo3IDaHJCZaR///6q027btm1VJ1hMKIgKDDqoYkQO9hMZFRkMrUdlBUOkUeVBIoV1tDAUOSToJ4NmH/ukBYkMmm/wMzTYN0bOzZ49Wx0rhpxHBJK9RYsWqc67SEBQDcJrjcQFr5nW+RzNepiQD68xql5IepBMOsNrvnjxYvnss89UVQnDurUpB4iMkvCl8XNBEekVx+Jur0YPg5MmTshoAnCeHA8z4eIkjT4a6KBMFJWQFKEpDXPiGI2ffbJfiqWd/ypZUKZRrPhSR+Y4f7vCpiUiIpM6+Bb7aZHnYyJDRGRSPrsWGR0CkW7sI0MUxWJp6y0RUYzAigwRkUlNeftDo0Mg0o2JDBGRSZW4dsboEIh0YyJDRGRSVQIdV2on8kRMZIiITOplXP2TXhIZjYkMEZFJdW3ytdEhEOnGRIaIyKQmrBprdAhEunH4tb2t0bzuSPUB0ft8sRDWVvLx8VGXkAwZMkRWrFghR44cidbYiGK65M/+NToEIt1YkfEg7du3V9Pd44JVnjHNfL9+/dS08+7atm2benxQUJDEBgcOHFBrHWlwbEhajICEqWTJkm5Pwf3111+rRTGxVEDmzJnVYpRYVJPzzlB0OZCtiNEhEOnGioyHqVevnsybN0+eP38u/v7+apVqnLxHjRoV7bEgBiRURsICmZ4GSeQ777yj1hH59ttvpVy5cmpByu3bt6vEFCuRY7FPoqi2JU85o0Mg0o0VGQ+TKFEi9e0dKy1jEUJ8i9+0aZPtfqwajZWvUa1JkiSJlChRQpYuXaruw0rQ1atXV/9PkyaNSoBQ5dGaaLBCtT1UF1Bl0GD7GTNmyHvvvSfJkiVTK0JrVYiffvpJ7QMLfX344Yfy8OFD2+Pw/MWKFVPxpEuXTsX8+PFjl8dXtmxZGTv2dbs9jhHJ0qNHj9T1K1euqDjOnTv3Rtz4PzRp0kRto13XhBZjcHCwfP7555IxY0ZVIUGigWqPBiuEOycXqPzgebT7scL10aNHbVUz3OYKViLHe7Fv3z6ViGIV7Pz580vnzp1V81fy5Mlt8eL1SJEihXrPP/roI7l58+Yb1bU1a9ZI8eLFVdwVK1aU48ePu3xeImdfbXf9GSXyJExkPBhOWLt375aECRPabkMS8+OPP8rMmTPlxIkT0qtXL/n444/Vt30kP7///rvaLiAgQK5duyaTJk0K13MicUGicOzYMfnkk0/UbefPn1cn9dWrV6sLnmvkyJHqPjxHq1at1LanTp1SJ9+mTZuG2HxStWpVtQ1gmz///FMlEDt37lS3Yd9vvfWW5M2b943HaokHKlZ4XvtEJLQYAZUQvDYLFiyQQ4cOqf3XrVtX7t6969br0rJlS/nyyy+lSJEi6rlxwW3OkGguXrxYWrduLVmzZn3jfiQxqM5oFa/hw4er5AixI/nREk97ffv2lXHjxqnjRYWqUaNG6rFERGbApiUPg5MwTnYvXrxQVYS4cePK1KlT1X24PmLECNm8ebN4e3ur23Lnzq2SgO+//14lCWnTplW3o/IQkeYLVAU6dOjwxskZ1QdUDqBNmzbi5+enKjY4oSNWJC9eXl7qflRnQlKtWjWZO3euvHz5UiVqSNKQECC5QbMafuI4QmtmwnGhguFujKgOodKE++vXr6/unz17tqp0IRYkCmFBtUlLQpyf297t27fl3r17qm9MWLREUXsfJ0+erJqhUJ3SqjYwePBgqV27tvo/ErFs2bLJ8uXLpUWLFmE+B5nb9xWaGR0CkW6syHgYNA2h+UFrlkBS0ayZ9Y8Rmlv+/fdfdVLDiU67oEKDikRkQFOHMzTXaAkCZMmSxdYEgqatmjVrquTlgw8+UAkCTuQhqVy5smryOXz4sKqaIGlBcqNVaXAbrodXaDHitUEFo1KlSrb70ZxVvnx5VUWKTOHpyIs+UKiu5MiRQ8WuJXCXLl1y2E5LWgGJaoECBSI9boqdct/5x+gQiHRjIuNh0DcFzR5IEH744QeV0KBqAFo/EvSZQLKjXU6ePGnrJxMSVHacT7Kumifw/M6cO/yi3wYqIBAvXjxV2Vi3bp3qCzJlyhR1og0MDHQZB6opODYkLlrSUqVKFZXYnDlzRs6ePRtiRSY0ocXoDndfn7CgaoRjPH36dKjboUqEpq2UKVPKwoULVbMRqizw7NmzcD8vkSu1z+01OgQi3ZjIeDCcXNFxdODAgfLkyROVKKAzML6xI9mxv6B/DGj9adB043yCRTOQ/fDgkJKN8ELSgGoHOsMiIUEM2knZFSQqW7dulR07dqhEBlWGQoUKqWYgVFLQMTa0hMX52MKSJ08eFdOuXbsckhQkD3hNtdcHlSL7TsrO89JgH2E9N94zdDRGcnL16tU37kcyiqY4JDp37txR/XhQpUJTlH1HX3t7974+GaHahYQPrxcRkRkwkfFwaK5B1WPatGmq+aFPnz6qgy/6SqDJBB1XUQXBdUA/FSQW6Gtz69YtWxUHQ34xSgada9GRF81W2K9eqBih387BgwdVgoV5UvC8oZ1okbxs2LBB9TfR+pLgNpz8w6rGoAkJfV+uX78eahOWc5WpW7duqi/M+vXrVQULI4jQTNexY0e1TYUKFSRp0qQqccTrumjRojdGJeG5kfwhwUFfGPRZcgUJGRJL7BPNfng+VJpQYStVqpR6T9CchMQI792FCxdk5cqVquOvK8OGDVPHjD5F6AycPn16NdqLKCyfcokCig0ssdT9+/fRDqB+Onvy5Inl5MmT6qcnadeuneX9999/43ZfX19LhgwZLI8ePbK8evXKMnHiREuBAgUsCRIkULfXrVvXsn37dtv2w4YNs2TOnNkSJ04ctU/A69SyZUtLypQpLdmzZ7fMnz/fUqJECcvgwYNtj8PruXz5cofnxv3Yzt6ECRMsXl5e6v94nfH8iCNRokSW/PnzW6ZMmRLqcd65c0fFhng0eF48/8yZMx22xfPg+TQrV6605M2b1xI/fnxbDGHFCPgs9OzZ05I+fXoVZ6VKlSz79+93eAxiwL6TJEliadiwoWXWrFkqJs3Tp08tzZo1s6ROnVrdPm/evBCPMSgoyNK/f39Lvnz5LAkTJrRkypTJUqtWLfUceA9h0aJFlpw5c6p4vL291bFhv4cPH1b3b926VV1ftWqVpUiRImo/5cuXtxw9ejTE5/XUzz5FHq+vVtsuvxSv43BduxDF1PO3K3Hwj8RCaBrBfCGYdAz9DOxhJlx8c8ZcK5h7g8gToR8ROn+j8uTuCDR+9iln/zW2/8/+fZh0bjbojW0ujmwQzVERuXf+doVNS0REJnU0S8j9zYg8BRMZIiKTWlko/CMAiWIaJjJEHgodoNEyzHWZKKK+2TLb6BCIdGMiQ0RERB7L1IlMLO3nTBQifubJ3rwy7xkdApFupkxktFleMU8IkZlon3nnmY7JnDI+dm+uJaKYzJSLRmKiN/Qr0GZKxURnmCSOKDZXYpDE4DOPz35kTHZInq/B6T9lRZHqRodBpIspExnQVigOadp3otjI1crgRESezLSJDCowWLcnY8aMEVr8j8jToDmJlRiy1/O9fkaHQKSbaRMZDf6w8487EZnR/7bOk0F1uhkdBpEupuzsS0REIlke3jI6BKLoT2T++ecf+fjjjyVdunSSJEkSKVasmFrZ2L5T4aBBg1SzDe6vVauWWtnX3t27d6V169ZqDQW02WOFYW0VZs1ff/0llStXVuvBYKXg0aNH6zlOIiJycipDLqNDIIreRAaL01WqVEm1ta9bt05Onjwp48aNkzRp0ti2QcIxefJkmTlzpuzbt0+SJUsmdevWVYvVaZDEnDhxQjZt2iSrV6+WHTt2SJcuXRwWjKpTp454eXmJv7+/jBkzRoYMGSKzZs3Sf8RERKQsKlnf6BCIdAvX6tf9+/eXXbt2yZ9//unyfuwqa9as8uWXX0qfPn3UbVi9MlOmTDJ//nz58MMP5dSpU1K4cGE5cOCAlC1bVm2zfv16effdd+XKlSvq8TNmzJCvv/5arl+/LgkTJrQ994oVK+T06dNRsnomEZEZcPVrMvXq1ytXrlTJxwcffKBG+5QqVUpmz369VkdgYKBKPtCcpEEwFSpUkD179qjr+InmJC2JAWwfN25cVcHRtqlSpYotiQFUdQICAlRVyJXg4GB18PYXIiIiit3ClchcuHBBVUvy5csnGzZskG7dusnnn38uCxYsUPcjiQFUYOzhunYffiIJshc/fnxJmzatwzau9mH/HM58fX1V0qRd0K+GiIhCxqYlMl0i8+rVKyldurSMGDFCVWPQr6Vz586qP4zRBgwYoMpQ2uXy5ctGh0REFKMleR5sdAhE0ZvIYCQS+rfYK1SokFy6dEn9X5sx9MaNGw7b4Lp2H346z6b74sULNZLJfhtX+7B/DmeJEiVSbWn2FyIiClmTE1uMDoEoehMZjFhCPxV7Z86cUaOLIFeuXCrR8PPzs92Pviro++Lt7a2u42dQUJAajaTZsmWLqvagL422DUYy2c+4ixFOBQoUcBghRUREROYWrkSmV69esnfvXtW0dO7cOVm0aJEaEt29e3fbtP8+Pj7y7bffqo7Bx44dk7Zt26qRSI0bN7ZVcOrVq6eapPbv369GQfXo0UONaMJ28NFHH6mOvphfBsO0f/31V5k0aZL07t07Kl4DIiJT6vNuL6NDIIreRKZcuXKyfPly+eWXX6Ro0aIyfPhwmThxopoXRtOvXz/p2bOn6j+D7THRHYZXY2I7zcKFC6VgwYJSs2ZNNez6nXfecZgjBp11N27cqEZBlSlTRg3nxiR79nPNEBGRPj13LzY6BKLonUfGk3AeGSKiN3EeGTL1PDJERBR7XEibzegQiHRjIkNEZFIzKzQzOgQi3ZjIEBGZ1Oh1k4wOgUi3+Pp3QUREMa3/C5FZsCJDRGRSS4u+XhePyFMxkSEiMqkX8eIZHQKRbkxkiIhM6sOjG4wOgUg3JjJERETksZjIEBGZ1Nd1rMvLEHkyJjJERCbV7tBqo0Mg0o2JDBGRSeW//bfRIRDpxkSGiMik/kmZ0egQiHRjIkNEZFJjqrQ1OgQi3ZjIEBGZ1MTVY40OgUg3JjJERETksZjIEBGZ1KpCVY0OgUg3JjJERCZ1L0kKo0Mg0o2JDBGRSbXlPDIUCzCRISIiIo/FRIaIyKSG1vrU6BCIdGMiQ0RkUk2PbzE6BCLdmMgQEZlUsetnjQ6BSDcmMkREJnUrWVqjQyDSjYkMEZFJDard1egQiHRjIkNEZFIzVowwOgQi3ZjIEBERkcdiIkNEZFIb83kbHQKRbkxkiIhM6u80WYwOgUg3JjJERCbVef8yo0Mg0o2JDBEREXksJjJERCY1sloHo0Mg0o2JDBGRSdU+u8/oEIh0YyJDRGRSZf45aXQIRLoxkSEiMqkHiZMbHQKRbkxkiIhM6ssGvY0OgUg3JjJERCY1a9m3RodApBsTGSIik4pjeWV0CETRm8gMGTJE4sSJ43ApWLCg7f6nT59K9+7dJV26dJI8eXJp1qyZ3Lhxw2Efly5dkgYNGkjSpEklY8aM0rdvX3nx4oXDNtu2bZPSpUtLokSJJG/evDJ//ny9x0lERE625S5rdAhE0V+RKVKkiFy7ds122blzp+2+Xr16yapVq+S3336T7du3y9WrV6Vp06a2+1++fKmSmGfPnsnu3btlwYIFKkkZNGiQbZvAwEC1TfXq1eXIkSPi4+MjnTp1kg0bNug/WiIisjmRKY/RIRBFfyITP358yZw5s+2SPn16dfv9+/dl7ty5Mn78eKlRo4aUKVNG5s2bpxKWvXv3qm02btwoJ0+elJ9//llKliwp9evXl+HDh8u0adNUcgMzZ86UXLlyybhx46RQoULSo0cPad68uUyYMEH/0RIRkU33Pb8aHQJR9CcyZ8+elaxZs0ru3LmldevWqqkI/P395fnz51KrVi3btmh2ypEjh+zZs0ddx89ixYpJpkyZbNvUrVtXHjx4ICdOnLBtY78PbRttHyEJDg5W+7G/EBERUewWrkSmQoUKqilo/fr1MmPGDNUMVLlyZXn48KFcv35dEiZMKKlTp3Z4DJIW3Af4aZ/EaPdr94W2DRKTJ0+ehBibr6+vpEqVynbJnj17eA6NiMh0JrzzsdEhEOkWPzwboylIU7x4cZXYeHl5yZIlSyRJkiRipAEDBkjv3q/nREDiw2SGiChkFS8dk5OZchsdBpFxw69RfcmfP7+cO3dO9ZdBP5egoCCHbTBqCfcBfjqPYtKuh7VNypQpQ02WMMIJ29hfiIgoZN6XjhodApGxicyjR4/k/PnzkiVLFtW5N0GCBOLn52e7PyAgQPWh8fb2Vtfx89ixY3Lz5k3bNps2bVJJR+HChW3b2O9D20bbBxERRY7g+ImMDoEoehOZPn36qGHVFy9eVKORmjRpIvHixZNWrVqpfikdO3ZUzTtbt25VnX87dOigEpCKFSuqx9epU0clLG3atJGjR4+qIdUDBw5Uc8+gogJdu3aVCxcuSL9+/eT06dMyffp01XSFod1ERBR5erz/ldEhEEVvInPlyhWVtBQoUEBatGihJr7D0OoMGTKo+zFEumHDhmoivCpVqqhmomXLltkej6Rn9erV6icSnI8//ljatm0rw4YNs22Doddr1qxRVZgSJUqoYdhz5sxRI5eIiCjyTP1jlNEhEOkWx2KxWCQWQmdfVIkwvw37yxCRGeTsvyZc28/+fZh0bvZ6QlLNxZENIjEqoqg9f3OtJSIik9qTo4TRIRDpxkSGiMik9uYoZnQIRLoxkSEiMqleO382OgQi3ZjIEBERkcdiIkNEZFLTvFsaHQKRbkxkiIhMqsiN80aHQKQbExkiIpOqduGg0SEQ6cZEhojIpCxxeAogz8dPMRGRSXVpOtDoEIh0YyJDRGRS49aMNzoEIt2YyBARmVTKp4+MDoFINyYyREQm5f9WYaNDINKNiQwRkUltylfB6BCIdGMiQ0RkUv23zTM6BCLdmMgQERGRx2IiQ0RkUrPLNzU6BCLdmMgQEZmU171rRodApBsTGSIik6pzdo/RIRDpxkSGiIiIPBYTGSIik+rW+H9Gh0CkGxMZIiKTGrZpptEhEOnGRIaIyKQyPL5rdAhEujGRISIyqWOZ8xkdApFuTGSIiExqWdEaRodApBsTGSIikxq8+XujQyDSjYkMEREReSwmMkREJvVj6YZGh0CkGxMZIiKTSvPkodEhEOnGRIaIyKQandpudAhEujGRISIiIo8V3+gAiIjCkrP/mjC3uTiyQbTEEpv4NOxjdAhEujGRIaIYzyf+Uje2YiITXn13/ChDanc1OgwiXdi0RERkUm89uGl0CES6MZEhIjKpM+m9jA6BSDcmMkREJrWA88hQLMBEhojIpL7bOM3oEIh0YyJDRERE5kxkRo4cKXHixBEfHx/bbU+fPpXu3btLunTpJHny5NKsWTO5ceOGw+MuXbokDRo0kKRJk0rGjBmlb9++8uLFC4dttm3bJqVLl5ZEiRJJ3rx5Zf78+XpCJSIiJ4tL1DU6BCLjEpkDBw7I999/L8WLF3e4vVevXrJq1Sr57bffZPv27XL16lVp2rSp7f6XL1+qJObZs2eye/duWbBggUpSBg0aZNsmMDBQbVO9enU5cuSISpQ6deokGzZsiGi4RETkJP7Ll0aHQGRMIvPo0SNp3bq1zJ49W9KkSWO7/f79+zJ37lwZP3681KhRQ8qUKSPz5s1TCcvevXvVNhs3bpSTJ0/Kzz//LCVLlpT69evL8OHDZdq0aSq5gZkzZ0quXLlk3LhxUqhQIenRo4c0b95cJkyYoP+IiYhIaX58s9EhEBmTyKDpCBWTWrVqOdzu7+8vz58/d7i9YMGCkiNHDtmzZ4+6jp/FihWTTJky2bapW7euPHjwQE6cOGHbxnnf2EbbhyvBwcFqH/YXIiIiit3CPbPv4sWL5dChQ6ppydn169clYcKEkjp1aofbkbTgPm0b+yRGu1+7L7RtkJw8efJEkiRJ8sZz+/r6ytChQ8N7OEREptWv/hdGh0AUvRWZy5cvyxdffCELFy6UxIkTS0wyYMAA1bSlXRArERGFrOu+340OgSh6Exk0Hd28eVONJoofP766oEPv5MmT1f9RNUE/l6CgIIfHYdRS5syZ1f/x03kUk3Y9rG1SpkzpshoDGN2E++0vREQUstx3rxgdAlH0JjI1a9aUY8eOqZFE2qVs2bKq46/2/wQJEoifn5/tMQEBAWq4tbe3t7qOn9gHEiLNpk2bVOJRuHBh2zb2+9C20fZBRET6/Z06i9EhEEVvH5kUKVJI0aJFHW5LliyZmjNGu71jx47Su3dvSZs2rUpOevbsqRKQihUrqvvr1KmjEpY2bdrI6NGjVX+YgQMHqg7EqKpA165dZerUqdKvXz/55JNPZMuWLbJkyRJZs2aN/iMmIiJlytsfGh0CUcyb2RdDpBs2bKgmwqtSpYpqJlq2bJnt/njx4snq1avVTyQ4H3/8sbRt21aGDRtm2wZDr5G0oApTokQJNQx7zpw5auQSERFFjrFrOaUFmXDUkjPMwGsPnYAxJwwuIfHy8pK1a9eGut9q1arJ4cOH9YZHRBQr5OzPijSRK1xriYjIpJYXqWF0CES6MZEhIjKpJwms/RKJPBkTGSIik/royDqjQyDSjYkMEREReSwmMkREJvVN7c+MDoFINyYyREQmxaYlig2YyBARmVShW4FGh0CkGxMZIiKTupYig9EhEOnGRIaIyKRGVO9gdAhEujGRISIyqSkrRxsdApFuTGSIiIjIYzGRISIyqTUFKxsdApFuTGSIiEzqZrI0RodApBsTGSIik+rgv9LoEIh0YyJDREREHouJDBGRSQ2v0dnoEIh0YyJDRGRS753abnQIRLoxkSEiMqkS184YHQKRbkxkiIhM6k7S1EaHQKQbExkiIpP6X93uRodApBsTGSIik/p++XdGh0CkGxMZIiIi8lhMZIiITGpT3opGh0CkGxMZIiKTupDuLaNDINKNiQwRkUl9uu93o0Mg0o2JDBEREXksJjJERCY1qmp7o0Mg0i2+/l0QEZGn8Im/1Pb/MoHHxT9zURdbNYjWmIj0YCJDRBQLkxR3ZL18Q/y9XSUyRJ6DTUtERCb1LFECo0Mg0o2JDBGRSW14v4rRIRDpxkSGiMikGi7dYnQIRLoxkSEiMqk4ryxGh0CkGxMZIiKT+jt3VqNDINKNiQwRkUndyJrB6BCIdOPwayIikyq/86isalHzzTu2+ob94OoDoiQmovBiRYaIiIjMkcjMmDFDihcvLilTplQXb29vWbdune3+p0+fSvfu3SVdunSSPHlyadasmdy4ccNhH5cuXZIGDRpI0qRJJWPGjNK3b1958eKFwzbbtm2T0qVLS6JEiSRv3rwyf/58vcdJRERO9lYuaXQIRNGbyGTLlk1Gjhwp/v7+cvDgQalRo4a8//77cuLECXV/r169ZNWqVfLbb7/J9u3b5erVq9K0aVPb41++fKmSmGfPnsnu3btlwYIFKkkZNGiQbZvAwEC1TfXq1eXIkSPi4+MjnTp1kg0bNug/WiIissl65abRIRBFbx+ZRo0aOVz/7rvvVJVm7969KsmZO3euLFq0SCU4MG/ePClUqJC6v2LFirJx40Y5efKkbN68WTJlyiQlS5aU4cOHy1dffSVDhgyRhAkTysyZMyVXrlwybtw4tQ88fufOnTJhwgSpW7eu/iMmIiIlR+BVOVqukNFhEBnT2RfVFVReHj9+rJqYUKV5/vy51KpVy7ZNwYIFJUeOHLJnzx6VyOBnsWLFVBKjQXLSrVs3VdUpVaqU2sZ+H9o2qMyEJjg4WF00Dx48iOihERGZwst4rovyE/3OhPlYn+pREBBRdHT2PXbsmOr/gv4rXbt2leXLl0vhwoXl+vXrqqKSOnVqh+2RtOA+wE/7JEa7X7svtG2QmDx58iTEuHx9fSVVqlS2S/bs2cN7aEREprK2GbMRMmEiU6BAAdV3Zd++faqS0q5dO9VcZLQBAwbI/fv3bZfLly8bHRIRUYxWb8V2o0Mgiv6mJVRdMJIIypQpIwcOHJBJkyZJy5YtVSfeoKAgh6oMRi1lzpxZ/R8/9+/f77A/bVST/TbOI51wHaOkkiRJEmJcqBDhQkRE7knwzHHEKJEp55F59eqV6puCpCZBggTi5+dnuy8gIEANt0YfGsBPNE3dvPm6p/ymTZtUkoLmKW0b+31o22j7ICKiyPFPDsdmfKJYX5FB8039+vVVB96HDx+qEUqY8wVDo9EvpWPHjtK7d29JmzatSk569uypEhB09IU6deqohKVNmzYyevRo1R9m4MCBau4ZrZqCfjdTp06Vfv36ySeffCJbtmyRJUuWyJo1a6LmFSAiMqm/c79ldAhE0ZvIoJLStm1buXbtmkpcMDkekpjatWur+zFEOm7cuGoiPFRpMNpo+vTptsfHixdPVq9erfrWIMFJliyZ6mMzbNgw2zYYeo2kBXPSoMkKw7rnzJnDoddEFCvl7G/cl7S3tx1yvUQBUWxNZDBPTGgSJ04s06ZNU5eQeHl5ydq1a0PdT7Vq1eTw4cPhCY2IiIhMiGstERGZ1MG3ixkdApFuXP2aiMik0t28J9eyZYzYg91ZIRu4SjZFMVZkiIhMKte5K0aHQKQbExkiIiLyWExkiIhMiiOWKDZgIkNEZFK1V+00OgQi3djZl4jIA/jEXxrp+0z8JDjS90kU3ViRISIyqetvZTA6BCLdmMgQEZnU2UI5jQ6BSDcmMkREJlV58wGjQyDSjYkMEREReSwmMkREJnW4QmGjQyDSjYkMEZFJpbj/2OgQiHRjIkNEZFJ5T/9tdAhEujGRISIiIo/FRIaIyKTWNq1qdAhEujGRISIyqaqbOPyaPB8TGSIik0r28F+jQyDSjYkMEZFJ3cqU1ugQiHRjIkNEZFInSuYzOgQi3ZjIEBGZVLUN+4wOgUg3JjJERETksZjIEBGZ1F9lChgdApFuTGSIiEwqUfBzo0Mg0o2JDBGRSRU4fsHoEIh0YyJDREREHiu+0QEQEZmZT/ylhj33hvcqR/2TbPUNe5vqA6I+Doq1WJEhIjIp7x2HjQ6BSDcmMkREJpUy6JHRIRDpxqYlIqIokrP/mjC38THwr/C99KmMe3KiSMKKDBGRSR0qX8ToEIh0YyJDRGRSNdfuNjoEIt2YyBAREZHHYiJDRGRSJ0vkNToEIt2YyBAREZHHYiJDRGRShY+eMzoEIt2YyBAREUUWi0WkSxeRtGlF4sQROXIk6p8zThyRFSus/794Mfqe1xMTGV9fXylXrpykSJFCMmbMKI0bN5aAgACHbZ4+fSrdu3eXdOnSSfLkyaVZs2Zy48YNh20uXbokDRo0kKRJk6r99O3bV168eOGwzbZt26R06dKSKFEiyZs3r8yfP1/PcRIRkRO/d982OoSYp317kcaNI/749etFcL5avVrk2jWRokUdE42Q6ElArl0TqV9fzCpcicz27dtVkrJ3717ZtGmTPH/+XOrUqSOPHz+2bdOrVy9ZtWqV/Pbbb2r7q1evStOmTW33v3z5UiUxz549k927d8uCBQtUkjJo0CDbNoGBgWqb6tWry5EjR8THx0c6deokGzZsiKzjJiIyvdL7TxgdQuxz/rxIliwib78tkjmzSPxomPEwc2aRRInErMKVyKxfv17at28vRYoUkRIlSqgEBNUVf39/df/9+/dl7ty5Mn78eKlRo4aUKVNG5s2bpxIWJD+wceNGOXnypPz8889SsmRJqV+/vgwfPlymTZumkhuYOXOm5MqVS8aNGyeFChWSHj16SPPmzWXChAlR8RoQEZlSmtv3jQ7B8xw/bq1+JE8ukimTSJs2Irdvv67m9OyJZgdrdSVnTusFmjR5fZsruXJZf5YqZd2uWjXr9QMHRGrXFkmfXiRVKpGqVUUOHXJ8bBw3Kj6xmK4+MkhcIC3aAkVUQoMqTa1atWzbFCxYUHLkyCF79uxR1/GzWLFikgkfgP/UrVtXHjx4ICdOnLBtY78PbRttH64EBwerfdhfiIgoZA9SJzc6BM8SFCRSo4Y12Th40NqMhK4TLVpY7580SWTYMJFs2azNPUhCcIF5817f5sr+/dafmzdbt1u2zHr94UORdu1Edu4UQUEgXz6Rd9+13k5KhGter169Uk0+lSpVkqJoAxSR69evS8KECSV16tQO2yJpwX3aNvZJjHa/dl9o2yA5efLkiSRJksRl/52hQ4dG9HCIiExnT5VSRofgWaZOtSYxI0a8vu2HH0SyZxc5c0Ykf36RFClE4sWzNvfYw3nR+TZ7GTJYf6ZL57gdEid7s2ZZ97V9u0jDhpFyWKatyKCvzPHjx2Xx4sUSEwwYMEBViLTL5cuXjQ6JiChGq7vyT6ND8CxHj4ps3WptVtIuBQu+7hsTFVDx6dzZWolB01LKlCKPHlmbryjiFRn0WVm9erXs2LFDsqGE9p/MmTOrfi5BQUEOVRmMWsJ92jb7tRKa3f3afdpP55FOuJ4yZUqX1RjA6CZciIiIogQSiEaNREaNevM+dPCNCmhWunPH2mzl5WXt1OvtLfJfn1IKZ0XGYrGoJGb58uWyZcsW1SHXHjr3JkiQQPz8/Gy3YXg2OgR744UXvP7ecuzYMbl586ZtG4yAQpJSuHBh2zb2+9C20fZBRET6BRTNbXQInqV0aRH05USH3bx5HS/JkoX8uAQJMGQ39H0nTGj96bzdrl0in39u7RdTpIg1kdE6F1P4Exk0J2G00aJFi9RcMujLggv6rUCqVKmkY8eO0rt3b9m6davq/NuhQweVgFSsWFFtg+HaSFjatGkjR48eVUOqBw4cqPatVVS6du0qFy5ckH79+snp06dl+vTpsmTJEjW0m4iIIkdwogRGhxAzYSAL5nOxv6C7QvfuInfvirRqZe20i+YkTAvSoUPoiQoSH3w5Rz/Qe/dcb5MxowhaHLQOxP8NplFNSj/9JHLqlMi+fSKtW1u3o4g1Lc2YMUP9rKYNC/sPhlhjWDZgiHTcuHHVRHgYSYTRRkhENPHixVPNUt26dVMJTrJkyaRdu3YyDD29/4NKz5o1a1TiMmnSJNV8NWfOHLUvIiJP4RN/qcRkxf0D5O88r7sH0H+2bbN26rXXsaPInDnWCslXX+FbOYbLWpt76tUTiRtKXWDcOJHevUVmzxZ56y3r5HfOMN/M5MnWUU+YV61yZWscc+daZwpGNQiditHRuE+fyD9mDxbHgvaiWAgjnFAhQsdfNFsRkeeaOLBDmNv4fDtPPDFuIzVa4ierWtSM0GN9auaPvECqD4i8fZHpzt9ca4mIyKS21a1gdAhEujGRISIyqSJHzhodApFuTGSIiEwqw427RodApBsTGSIik3qcIqnRIRDpxkSGiMikttcuZ3QIFJL5861LEYQEI5qwWGRQkOvthwwRKVlSXwwYXYXnwPDzGCwa1hcnIqKY6N1l2yM8ailSbfWNXSObkFT4+LxOMqLC229bF5dMlUrMjokMERGRp8FMwKEtQmkibFoiIjKpcwW9jA4h5nn40Dp7LpYcwPpJEyZgFlhrhUWDifAwKR0mt8N2FSpYm3oAPzHTL2bmRbMMLmjmAUwOi5l6EycWyZRJpHlz9+O6dUukbFmRJk2sz+/ctOQOTOhXqJD1+bHYpd1ktQrWQcREgLgfz3X4sHgCVmSIiCIgZ/81YW7jE8P/wj5MFcr6QGaFGXgxe+/KldZkA7PsHjrk2N+kRw+RkydFFi8WyZpVZPly6+y+x45Zm3wmTrQ+LiDAuj1WyT540LpmEpYbwDZY6uBPN1cfx/IItWuLYKkfzPQbL174j2vhQmtMU6dakxUkKVhVG4kYFqbEgpgNG1qf5+efRQIDRb74QjxBDP81IyKiqFJq30m54hVFqzZ7ajVmwQKRRYtEav7Xd2jePGuyorl0yXobfmq3ozqDNZJwO5YQQL8VVEvsm36wPZIGJAspUliXNnBeBsEVJENILlCJQYKE/UbE4MHWpRKaNrVex6LPSMa+/96ayOCYX72yJkqoyGCByitXRLp1k5iOiQwRERFcuCDy/LlI+fKvb0NSUqDA6+uoumCByPxOSzSguSddupD3jWQEyUvu3NbqDS5ITpKGMgQeCzJjzaWPPrImMRH1+LF1gUusF4UqjObFi9edhbEoZfHi1iRG4+0tnoCJDBGRSf1Zi8Ovww1NMGja8fd/s4kHTUghQRUGTVTo27Jxo7WZB31nsIp2SMOsEyUSqVVLZPVqkb59rX1yIhozYNFK9OexF5FmqhiGiQwRkUnlO3VRDlQqHqHHTvQ7E/2LS0Y1VEsSJLAmFzlyWG9Dp90zZ0SqVLFeR3MQKjI3b1qrJSGNKMI2rla4RmKCC5p6kMBs2fK6uccZVtRGnxpUZKpXtyZB9s1c7sqUyfo4VJzQkdkVdALGcz19+roqs3eveAKOWiIiMqnM/9wyOoSYBVUT9BdB9WPrVpETJ6zNMUgotL4paFJCMtC2rciyZdZOsRjt4+srsua/DuA5c1qrIH5+Irdvi/z7r7WqMnmydXK5v/8W+fFHa58U+2YrV1AxQUfdEiVEatQQuX49Ysc2dKg1RsSAxAxNZOjTM3689X4kSzhGND2h78zatSJjx4onYCJDRGRST5MkMjqEmAcndvQNQadcVE4qVXo9ZFmDBACJzJdfWhORxo0dqzgYldS1q0jLliIZMoiMHm2tviDxQTKC/c2cKfLLL9ZOtWFBJUfbFo9HNSi8OnWyDr9G7MWKiVStap24D51+tWaxVausCQ6qTl9/LTJqlHiCOBaLxSKx0IMHDyRVqlRy//59SZkypdHhEJEOEwd2CHMbn2/nScwbfr1UzC7SmpaMmtkXHWXRNwUjflCdoRh3/mZFhojIpBot8TM6hJgH86ug+oFRPuicq/Upef99oyOjELCzLxERkT30DcH8Lei0W6aMdeK69OmNjopCwESGiMikAvNmMzqEmAf9QzC0mjwGm5aIiEzqTsY0RodApBsTGSIikyq7+5jRIRDpxqYlIqII4IgkopiBFRkiIpPaXa200SEQ6cZEhojIpLwu/GN0CES6MZEhIjKpty7dMDoEIt2YyBARmdTzhOwmSZ6Pn2IiIpNa37iqeIytvjF3GQMyFCsyREQm9e7vW40OgUg3JjJERCYV7+Uro0Mg0o2JDBGRSV3KldXoEIh0YyJDRGRSV7NlNDoEIt2YyBARmVTFP48YHQKRbkxkiIiIyGMxkSEiMqn975QwOgQi3TiPDBGRk5z914S5jU8s+OuZ6eotuZE1vdFhEOnCigwRkUl5XbhqdAhEujGRISIyKUvcOEaHQBT9icyOHTukUaNGkjVrVokTJ46sWLHC4X6LxSKDBg2SLFmySJIkSaRWrVpy9uxZh23u3r0rrVu3lpQpU0rq1KmlY8eO8ujRI4dt/vrrL6lcubIkTpxYsmfPLqNHj47oMRIRkQurm9cwOgSi6E9kHj9+LCVKlJBp06a5vB8Jx+TJk2XmzJmyb98+SZYsmdStW1eePn1q2wZJzIkTJ2TTpk2yevVqlRx16dLFdv+DBw+kTp064uXlJf7+/jJmzBgZMmSIzJo1K6LHSURETur+scPoEIh0C3d3tfr166uLK6jGTJw4UQYOHCjvv/++uu3HH3+UTJkyqcrNhx9+KKdOnZL169fLgQMHpGzZsmqbKVOmyLvvvitjx45VlZ6FCxfKs2fP5IcffpCECRNKkSJF5MiRIzJ+/HiHhMdecHCwutgnQ0REEeETf6mYQcLg5xKrcGFJU4rUPjKBgYFy/fp11ZykSZUqlVSoUEH27NmjruMnmpO0JAawfdy4cVUFR9umSpUqKonRoKoTEBAg9+7dc/ncvr6+6rm0C5qjiIgoZFezZzI6BKKYlcggiQFUYOzhunYffmbM6Dgtdvz48SVt2rQO27jah/1zOBswYIDcv3/fdrl8+XIkHhkRUewTmDeb0SEQ6RZrRi0lSpRIdR62vxARUcgqbfU3OgSimJXIZM6cWf28ceOGw+24rt2Hnzdv3nS4/8WLF2okk/02rvZh/xxEREREkZrI5MqVSyUafn5+Dp1u0ffF29tbXcfPoKAgNRpJs2XLFnn16pXqS6Ntg5FMz5+/7oiGEU4FChSQNGnSRGbIRESm5e9d1OgQiKI/kcF8LxhBhIvWwRf/v3TpkppXxsfHR7799ltZuXKlHDt2TNq2batGIjVu3FhtX6hQIalXr5507txZ9u/fL7t27ZIePXqoEU3YDj766CPV0Rfzy2CY9q+//iqTJk2S3r176z9iIiJS0ty5b3QIRNE//PrgwYNSvXp123UtuWjXrp3Mnz9f+vXrp+aawTBpVF7eeecdNdwaE9tpMLwayUvNmjXVaKVmzZqpuWc0GHW0ceNG6d69u5QpU0bSp0+vJtkLaeg1ERGFX+4zl+VEyfxR+hwT/c6EuY1PzaiNgWK3cCcy1apVU/PFhARVmWHDhqlLSDBCadGiRaE+T/HixeXPP/8Mb3hERERkIrFm1BIREYXP6uavq+tEnoqJDBGRSdVca52olMhUTUtERBQ7JPn39Rp4puHOMgbApQw8BhMZIjKVnP3XhLmNj0n+Mt7Imt7oEIh0Y9MSEZFJBRTJZXQIRLoxkSEiMqkqmw4YHQKRbkxkiIiIyGOZpCWYiMjKJ/5So0OIMY6UK2R0CES6sSJDRGRSyR49MToEIt1YkSEiMql8py7K6WJ5jA7Dc4dpc4h2jMCKDBEREXksJjJERCa1rklVo0Mg0o2JDBGRSVX2O2h0CES6MZEhIjKp5A8eGx0CkW7s7EtEpll6wEzLD7jjdsY0RodApBt/pYmITOpY6QJGh+DZOLIpRmAiQ0RkUtXX75VVLWoaHYZM9DsT5jY+NfNHSyzkeZjIEFGswBl7icyJnX2JiEzqWClWOcjzsSJDRGRSCV68NDqE2I/9aKIcKzJERCZV8Nh5o0Mg0o2JDBEREXksNi0REZnUxkbvGB0CAZufdGFFhojIpCrsPGp0CES6sSJDRGRSqe49FE/BuWYoJKzIEBGZ1L10KY0OgUg3JjJERCZ10LuY0SEQ6camJSIik6q9eleMWKKAIqlDsEk7BTORISJDTRzYwegQiMiDsWmJiMikThbPa3QIRLoxkSEiMqlXcXkKIM/HpiUiijI5+68Jcxsf/hUyTNEjZyQwf3aJLThE25z4J4SIojBJWRotsRCReWcJZiJDRBHCJMXzbanvbXQIZIStsSvZYSJDRA44isg8Shw8JburlzE6DIqJtnpOssNEhshEmKSQvXS3gsRs3OlHA+xL4zlidCIzbdo0GTNmjFy/fl1KlCghU6ZMkfLlyxsdFlH086BvR+Q5HqZKZnQIRLE3kfn111+ld+/eMnPmTKlQoYJMnDhR6tatKwEBAZIxY0ajwyOKed8i/VhtofDZVY3NSiHhCCjPEcdisVgkBkLyUq5cOZk6daq6/urVK8mePbv07NlT+vfvH+bjHzx4IKlSpZL79+9LypRcGI2iH5txKKZrtMSPSxTEAB6bEFWPmipweM/fMbIi8+zZM/H395cBA16/SHHjxpVatWrJnj17XD4mODhYXTR4AbQXhDzcjnFubTZ9+7koD4UoNnn48pU8DX5mdBimN3Lt8TC3+axqDJyF+UHUnF+187a7dZYYmcjcvn1bXr58KZkyZXK4HddPnz7t8jG+vr4ydOjQN25HFYeIiN6kviqOXWR0GOSGAWMlBhoWpXt/+PChqsx4ZCITEajeoE+NBk1Rd+/elXTp0kmcOHEiNVNEcnT58uVY22QV24+Rx+f5YvsxxvbjM8Mx8vgiDpUYJDFZs2Z1a/sYmcikT59e4sWLJzdu3HC4HdczZ87s8jGJEiVSF3upU6eOshjxxsXGD6eZjpHH5/li+zHG9uMzwzHy+CLGnUqMJkauGJYwYUIpU6aM+Pn5OVRYcN3bmzNREhERUQyuyACaidq1aydly5ZVc8dg+PXjx4+lQweOBCEiIqIYnsi0bNlSbt26JYMGDVIT4pUsWVLWr1//Rgfg6Ibmq8GDB7/RjBWbxPZj5PF5vth+jLH9+MxwjDy+6BNj55EhIiIi8sg+MkRERETuYCJDREREHouJDBEREXksJjJERETksZjIEBERkccyXSKDZQtat26tZiLEzL8dO3aUR48ehfqYp0+fSvfu3dVyB8mTJ5dmzZq9Mevw559/ribxw1A0DBV35a+//pLKlStL4sSJ1dTOo0ePfmOb3377TQoWLKi2KVasmKxduzZGHN+lS5ekQYMGkjRpUsmYMaP07dtXXrx4Ybu/ffv2aikI50uRIkVs2wwZMuSN+3Gs4WXUMW7bts3lMWJ6AHvTpk2TnDlzqvcQq7jv37/fI45v2bJlUrt2bcmQIYN6bkw+uWHDBod9RPQ9DO9rEtbvAQZbYmqGLFmySJIkSdSCsmfPng336+jO76Q7ovv4Ll68qI4nV65c6v48efKoobBYcNd+G1ef171798b44wM8n3PsI0eOjJL3z4hjDOnvCS4HDhyI8e/hsmXLpE6dOrZlgI4cORIlf5fcYjGZevXqWUqUKGHZu3ev5c8//7TkzZvX0qpVq1Af07VrV0v27Nktfn5+loMHD1oqVqxoefvttx226dmzp2Xq1KmWNm3aqP07u3//viVTpkyW1q1bW44fP2755ZdfLEmSJLF8//33tm127dpliRcvnmX06NGWkydPWgYOHGhJkCCB5dixY4Ye34sXLyxFixa11KpVy3L48GHL2rVrLenTp7cMGDDAtk1QUJDl2rVrtsvly5ctadOmtQwePNi2Df5fpEgRh+1u3brl9rEZfYxbt27FVAWWgIAAh2N4+fKlbZvFixdbEiZMaPnhhx8sJ06csHTu3NmSOnVqy40bN2L88X3xxReWUaNGWfbv3285c+aMug+fv0OHDul6D8P7mrjzezBy5EhLqlSpLCtWrLAcPXrU8t5771ly5cplefLkiduvozu/k+4w4vjWrVtnad++vWXDhg2W8+fPW/744w9LxowZLV9++aVtH4GBgerzunnzZof369mzZzH++MDLy8sybNgwh9gfPXoU6e+fUccYHBzscGy4dOrUSW3z6tWrGP8e/vjjj5ahQ4daZs+erWLE35Wo+LvkDlMlMnhD8IIfOHDAdhv+IMSJE8fyzz//uHwMTtB4A3/77TfbbadOnVL72bNnzxvb4w+9q0Rm+vTpljRp0qgPr+arr76yFChQwHa9RYsWlgYNGjg8rkKFCpZPP/3U0OPDhytu3LiW69ev27aZMWOGJWXKlA7HY2/58uXqeS9evBjmaxMeRh6jlsjcu3cvxPjKly9v6d69u+06kpysWbNafH19Y/zxuVK4cGH1x0rPexje1ySs3wP8kc+cObNlzJgxDq9BokSJ1MnM3dfRnd/JmHp8ruCkg5OgRjsJujrBeMLxIZGZMGFCiHFF1vtn5DHaQ3KSIUMGlbzF9PfQXkgxRuXfJWemalras2ePKjFj2QMNyn1x48aVffv2uXyMv7+/PH/+XG2nQbktR44can/hee4qVaqodaQ0devWlYCAALl3755tG/vn0bZx93mi6vjwE6VF+1mVERdWPz1x4oTL/c6dO1ft08vLy+F2lFaxomnu3LlV2R9lxfCICceIpkOUi9EMs2vXLtvtKOvjueyfB3Hhuie+h1jfDCvQpk2bNsLvYURek7B+DwIDA1Vznv02WGAO5XL74w3rdXTndzIsRh2fK/fv33/jvYL33ntPlezfeecdWblypVvHFVOOD01JaJYoVaqUjBkzxqHJITLev5hwjBq8N3fu3HG5DE9Mew/dEVV/l1wxVSKDDxY+DPbix4+vfvmd+znYPwa/KM4raeOFD+kxIe3HeXkF7bq2n5C2cfd5our43Ind3tWrV2XdunXSqVMnh9vxSzx//ny11MSMGTPULzvat3GydJeRx4jkZebMmfL777+rC9rkq1WrJocOHVL33759W16+fBkr3kMYO3as6lPSokWLCL+HEXlNwvo90H6GtU1Yr2NEXpOYcnzOzp07J1OmTJFPP/3Udhv6JIwbN071dVizZo06CTZu3DhcJ0Ijjw/9DhcvXixbt25VxzVixAjp169fmM9j/xwx/Ridv/zhJJ4tW7YY/x66I6r+LnnUWkvh0b9/fxk1alSo25w6dUo8FU4m6EzlKce3YMEC9eHFL5y9+vXr2/5fvHhxdVJExWbJkiXqW35Mfw8LFCigLpq3335bzp8/LxMmTJCffvop1MdevnzZo97DRYsWydChQ+WPP/5wSAhCew/R+ZSi3z///CP16tWTDz74QDp37my7PX369GrxXU25cuXUlwxUNvANP6azjx2fNZwUkdD4+vrGiPV9ItOVK1dUx3r8Htnz9PcwusSKRObLL79Uo2ZCgzJ45syZ5ebNmw63o1SJ0Q24zxXcjtJcUFCQQ2aJntchPSak/Tj31taua/sJaRv0NEcFwKjjw0/nHu7OsWvQ7+qHH36QNm3aOJR8XcHz5c+fX32bNPo9DM8x2sPK7Dt37rT90YkXL57L9xB/iLds2eIRx4dvwaim4Vugc3k5tPfQldBek9COJ7TttZ+4DVUy+220EYPuvI7u/E6Gxajj0+CkVr16dZVUz5o1K8x4kXhu2rTJrWOLCcfnHDveQ4zkwReKyHj/Ysoxzps3TzWhuZOcxIT30B1R+Xf3DRYT0ToAove0Br3+3elIuXTpUtttp0+fjnBnX/ve5uiZ7dzZt2HDhg6P8/b2Dndn38g+Pq1Dln0Pd4wMQIesp0+fOuxP6xDrzkirhw8fqtdk0qRJbh1fTDlGe+ht36RJE4dOdT169HDoVPfWW2+Fu7OvUce3aNEiS+LEidVIC3e48x6G9zUJ6/dA60g5duxYhxEsrjr7hvY6uvM76Q4jjg+uXLliyZcvn+XDDz9Uoz/cgVExpUqV8ojjc/bzzz+rz/Ddu3cj9f0z+hixLTpp2484i+nvYXg6+0bF311npkpktCGZ+BDs27fPsnPnTvWHwH5IJv444BcB99sPIcuRI4dly5Yt6g8j3lBc7J09e1a9kXij8+fPr/6Pi9bzGm8qhgpieDaGCmI4XNKkSd8Yfh0/fnz14UfvbiRFERl+HdnHpw2Rq1OnjuXIkSOW9evXq971robIffzxx6p3uyv4Rd22bZv64ONYkQRgqN3NmzfdPj4jjxEjKHCCx3uN9wTDlfFLiKGRGryv+GM1f/58dTLt0qWLGuZo3ys/ph7fwoUL1edv2rRpDkM98dnV8x6G9Zrgd6J///7h+j3A0FbsA8OO//rrL8v777/vcvh1aK+jO7+T7jDi+PAZwHDymjVrqv/bv18axIPEFM+By3fffac+rxiCG9OPb/fu3er3DZ9VDC9HEoPPa9u2bSP9/TPqGDX4+4GTO/bjLCa/h3fu3FHnuDVr1qj48Ry4bv8ZjMxzS2hMl8jgxccfs+TJk6usr0OHDupbpXN2icqCBh+8zz77TGX/+EXBN3D7NwuqVq2qHud8wf40mEvgnXfeUR8oZMP4oDtbsmSJSoQw5h/zdeBDEhOOD8Oo69evr+ZpwIkLJ7Tnz587bIM/LLh/1qxZLmNr2bKlJUuWLOrYcPy4fu7cuXAdn5HHiDlW8uTJoyoWmCOnWrVq6hfU2ZQpU9QvL44T34Qwj4knHF9In+F27drpfg9De03wvPbP4c7vAb7FfvPNN+pEht8nnNAxv094Xkd3fyfdEd3HN2/ePJfvlX2RHSetQoUKqc8Djh9x2Q+FjcnH5+/vr74QYR4W/L7hOEaMGPHGt/TIev+MOEYNPqPO85J5wns4L4TPoP3cYZF1bglLHPzjfkMUERERUcxhquHXREREFLswkSEiIiKPxUSGiIiIPBYTGSIiIvJYTGSIiIjIYzGRISIiIo/FRIaIiIg8FhMZIiIi8lhMZIiIiMhjMZEhIiIij8VEhoiIiMRT/R8Xl7NQgJDyTAAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.axvline(x=0.0036, color='red', linestyle='--', linewidth=0.5, label='Target Return')\n", "bins = np.linspace(-0.01, 0.01, 50)\n", "plt.hist(returns_4, bins=bins, alpha=1, label='Returns with Cap')\n", "plt.hist(returns_3, bins=bins, alpha=0.5, label='Returns without Cap')\n", "plt.title(\"Histogram of Returns - 3\")\n", "plt.legend()\n", "plt.annotate(\"Left tail\\ngets killed\", xy=(0.8, 0.2), xycoords='axes fraction', fontsize=10, color='red')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This ended up being a fairly large improvement of sharpe\n", "\n", "## Optimization 3: Reducing Variance from the 0 peak\n", "I had been hesistant to trade on the 10th tick because I was concerned that the returns were difficult to predict. That was still true, however, more often then not the sign of the return would flip. Therefore, to hopefully move some of the entries from 0 towards the mean, I decided to try to trade on the 10th tick. I had a \"target\" value that I optimized, though I made a mistake of not optimizing target with target_return at the same time. It likely would've only made a very small difference." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Sharpe: 1.730698766083186\n" ] } ], "source": [ "class Allocator():\n", " window_length = 500 \n", " def __init__(self, train_data):\n", " '''\n", " Anything data you want to store between days must be stored in a class field\n", " '''\n", " self.running_price_paths = train_data.copy()\n", " \n", " self.train_data = train_data.copy()\n", "\n", " self.tick_number = len(self.running_price_paths) - 1\n", " # Do any preprocessing here -- do not touch running_price_paths, it will store the price path up to that data\n", " \n", " \n", " def allocate_portfolio(self, asset_prices):\n", " '''\n", " asset_prices: np array of length 6, prices of the 6 assets on a particular day\n", " weights: np array of length 6, portfolio allocation for the next day\n", " '''\n", " self.running_price_paths = pd.concat([self.running_price_paths, pd.DataFrame([asset_prices])], ignore_index=True)\n", " self.tick_number += 1\n", "\n", " idx = self.tick_number % 10\n", " if idx == 0: #expect the return to be opposite of the last one - weigh equally\n", " recent_data = self.running_price_paths.tail(2).copy()\n", " target = 0.33\n", " w4 = -target if recent_data['Asset_4'].pct_change().iloc[-1] > 0 else target\n", " w5 = -target if recent_data['Asset_5'].pct_change().iloc[-1] > 0 else target\n", " w6 = -target if recent_data['Asset_6'].pct_change().iloc[-1] > 0 else target\n", " return np.array([0.0, 0.0, 0.0, w4, w5, w6]) \n", " else: #Note: there is a strong negative autocorelation on the last change in return to this one. see what I can do with that later\n", " assets = ['Asset_4', 'Asset_5', 'Asset_6']\n", " next_returns = [0, 0, 0]\n", " recent_data = self.running_price_paths[assets].tail(idx+1).copy()\n", " for i, asset in enumerate(assets):\n", " if recent_data[asset].pct_change().min() < 0 and recent_data[asset].pct_change().max() > 0:\n", " value = 0\n", " else:\n", " value = recent_data[asset].pct_change().mean()\n", " next_returns[i] = value\n", "\n", " answer = np.zeros(6)\n", " max_idx = np.argmax(np.abs(next_returns))\n", " expected_return = abs(next_returns[max_idx])\n", " target_return = 0.0036\n", " if expected_return > target_return:\n", " weight = target_return / expected_return\n", " expected_return = target_return\n", " else:\n", " weight = 1\n", "\n", " answer[max_idx+3] = weight * np.sign(next_returns[max_idx])\n", " return answer\n", "\n", "sharpe_5, returns_5 = grading(TRAIN, TEST)\n", "print(f\"Sharpe: {sharpe_5}\")" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bins = np.linspace(-0.01, 0.01, 50)\n", "plt.hist(returns_5, bins=bins, alpha=1, label='Trading on the 10th Tick')\n", "plt.hist(returns_4, bins=bins, alpha=0.5, label='Previous Strategy')\n", "plt.title(\"Histogram of Returns - 4\")\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This ended up being a larger improvement then any of the previous things I had tried. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Other Ideas:\n", "I probably should've handled cases where all returns were bouncing near 0 better, such as doing them all with an equal weight like on the 10th tick.\n", "\n", "I should have come up with a better way to predict the return on ticks 3-9. Once the bouncing was consistent, I should have used that (either the relationships with the negative autocorrelation, or a predictive regression/ML) rather then the simple mean to predict the next step returns. However, I figured it wouldn't be a huge improvement since the asset with the largest absolute return was usually the least bouncy. \n", "\n", "I only know of one team that claimed a higher sharpe on the practice data than us. My guess is that they were using some overfit technique to forecast returns. " ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.12.7" } }, "nbformat": 4, "nbformat_minor": 2 }