{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "In the sequel we aim to visualize functionally generated portfolios." ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "# import tensorflow as tf\n", "\n", "# from keras.models import Sequential\n", "# from keras.layers import Input, Dense, Conv2D, Concatenate, Dropout, Subtract, \\\n", "# Flatten, MaxPooling2D, Multiply, Lambda, Add, Dot\n", "# from keras.backend import constant\n", "# from keras import optimizers\n", "\n", "# from keras.engine.topology import Layer\n", "# from keras.models import Model\n", "# from keras.layers import Input\n", "# from keras import initializers\n", "# from keras.constraints import max_norm\n", "# import keras.backend as K\n", "\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 180, "metadata": {}, "outputs": [], "source": [ "p = 0.1\n", "c = 0.5" ] }, { "cell_type": "code", "execution_count": 306, "metadata": {}, "outputs": [], "source": [ "n = 20\n", "N = 250\n", "T = 1.0\n", "#K = 1 #number of trajectories\n", "dBlist = [np.random.normal(0,np.sqrt(T)/np.sqrt(N),n) for i in range(N)]\n", "vol = 0.1/np.sqrt(n)*np.random.normal(0,1,(n,n))#np.eye(n)" ] }, { "cell_type": "code", "execution_count": 312, "metadata": {}, "outputs": [], "source": [ "class modeltrajectory:\n", " def __init__(self,n,N,T,vol,p,c, dBlist):\n", "# self.K = K\n", " self.N = N\n", " self.n = n\n", " self.T = T\n", " self.vol = vol\n", " self.p = p\n", " self.c = c\n", " self.dBlist = dBlist\n", " def trajectory(self):\n", " #trajectory = [1/np.cumsum(np.ones(self.n))]\n", " #trajectory = [np.ones(self.n)]\n", " trajectory = [np.array([0.76115707, 0.6150413 , 0.3692214 , 0.22645904, 0.14483596,\n", " 0.29720538, 0.14574056, 0.26629337, 0.09016825, 0.0613984 ,\n", " 0.18594244, 0.04528323, 0.0970301 , 0.10513567, 0.07517177,\n", " 0.02606764, 0.05566999, 0.06828378, 0.06645625, 0.11713029])]\n", " #marketweights = [(1/np.cumsum(np.ones(self.n)))/np.sum(1/np.cumsum(np.ones(self.n)))]\n", " #marketweights = [1/self.n*np.ones(self.n)]\n", " marketweights = [trajectory[-1]/np.sum(trajectory[-1])]\n", " marketportfolio = [1.0]\n", " generatedportfoliodiversity = [1.]\n", " generatedportfolioentropy = [1.]\n", " rankedmarketweights = [-np.sort(-marketweights[-1])]\n", " equallyweightedportfolio=[1.]\n", " index = [1.]\n", " for i in range(self.N):\n", " #x = np.random.normal(0,np.sqrt(T)/np.sqrt(N),self.n)\n", " #x = np.matmul(x,self.vol)\n", " #y = BMtrajectory[-1]+x\n", " #BMtrajectory = BMtrajectory + [y]\n", " #trajectory = trajectory + [y**2]\n", " dB = np.matmul(self.dBlist[i],self.vol) \n", " trajectory = trajectory + [np.abs(trajectory[-1]+self.T/self.N*(2.0*0.1**2-0.0*trajectory[-1])+2*np.sqrt(np.abs(trajectory[-1]))*dB)]\n", " #trajectory = trajectory + [np.abs(trajectory[-1]+self.T/self.N*(0.1*trajectory[-1])+2*trajectory[-1]*dB)]\n", " marketweights = marketweights + [trajectory[i+1]/np.sum(trajectory[i+1])]\n", " rankedmarketweights = rankedmarketweights+[-np.sort(-marketweights[i+1])]\n", " #marketportfolio = marketportfolio + [1/np.sum(1/np.cumsum(np.ones(self.n)))*np.sum(trajectory[i+1])]#[1/self.n*np.sum(trajectory[i+1])]\n", " marketportfolio = marketportfolio + [1/np.sum(trajectory[0])*np.sum(trajectory[i+1])]#[1/self.n*np.sum(trajectory[i+1])]\n", " helper = marketweights[i]**self.p/np.sum(marketweights[i]**self.p)\n", " generatedportfoliodiversity = generatedportfoliodiversity + [generatedportfoliodiversity[i]*(1+np.sum(helper*(trajectory[i+1]-trajectory[i])/trajectory[i]))]\n", " helper = marketweights[i]*(self.c - np.log(marketweights[i]))/np.sum(marketweights[i]*(self.c - np.log(marketweights[i])))\n", " generatedportfolioentropy = generatedportfolioentropy + [generatedportfolioentropy[i]*(1+np.sum(helper*(trajectory[i+1]-trajectory[i])/trajectory[i]))]\n", " helper = np.ones(self.n)/self.n\n", " equallyweightedportfolio = equallyweightedportfolio + [equallyweightedportfolio[-1]*(1+np.sum(helper*(trajectory[i+1]-trajectory[i])/trajectory[i]))]\n", " return trajectory, marketweights, marketportfolio, generatedportfoliodiversity, generatedportfolioentropy, rankedmarketweights, equallyweightedportfolio\n", " \n", "model = modeltrajectory(n,N,T,vol,p,c,dBlist)\n", "trajectory = model.trajectory()[0]\n", "marketweights = model.trajectory()[1]\n", "marketportfolio = model.trajectory()[2]\n", "generatedportfoliodiversity = model.trajectory()[3]\n", "generatedportfolioentropy = model.trajectory()[4]\n", "rankedmarketweights = model.trajectory()[5]\n", "equallyweightedportfolio = model.trajectory()[6]" ] }, { "cell_type": "code", "execution_count": 313, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([1.022335 , 0.57557644, 0.31652658, 0.24517267, 0.22258144,\n", " 0.38174621, 0.13971535, 0.28838757, 0.05972467, 0.03516232,\n", " 0.14007298, 0.08595659, 0.10533802, 0.07034269, 0.1833822 ,\n", " 0.03258313, 0.07260209, 0.10386365, 0.11119237, 0.07677369])" ] }, "execution_count": 313, "metadata": {}, "output_type": "execute_result" } ], "source": [ "trajectory[-1]" ] }, { "cell_type": "code", "execution_count": 314, "metadata": {}, "outputs": [ { "data": { "image/png": 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JI2d+3JaMUa/hf7dGsmzfCV76dS8/70hhzrguuDidul1UVeXZn2NZGJsOwD/J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\nnFthkBEVbMxp7M5m0NxphrwKmrRJiq7DiCgHzzotz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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dftrajectory=pd.DataFrame(trajectory)\n", "dftrajectory.plot()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 315, "metadata": {}, "outputs": [ { "data": { "image/png": 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LpVeoLx+tjiExI5/BM7bg5+5A71A/ptwVzr74DMwWKy2CPHC+LPNx87FzRJ/Nom/T2vx1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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dfmarketweights=pd.DataFrame(marketweights)\n", "dfmarketweights.plot()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 316, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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BfXAwxqioOi6ZMyhVcTb4R2hP+if2ad3OvrgVuibCqLu0qKTwfg0thNJsOLb5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\nG/zsDIJUoHSW0sanYBqlPD21rFuHs6oRfYAajZ8RkTwd35kTiZ9Vgzt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eXZWNr0FD6EBR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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dfportfolios=pd.DataFrame(np.array(marketportfolio))\n", "dfportfolios['diversity']=np.array(generatedportfoliodiversity).tolist()\n", "dfportfolios['entropy']=np.array(generatedportfolioentropy).tolist()\n", "dfportfolios['equallyweighted']=np.array(equallyweightedportfolio).tolist()\n", "dfportfolios.plot()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 317, "metadata": {}, "outputs": [], "source": [ "K = 500\n", "\n", "mpf=[]\n", "dpf=[]\n", "epf=[]\n", "eepf=[]\n", "\n", "for l in range(K):\n", " dBlist = [np.random.normal(0,np.sqrt(T)/np.sqrt(N),n) for i in range(N)]\n", " model = modeltrajectory(n,N,T,vol,p,c,dBlist)\n", " marketportfolio = model.trajectory()[2]\n", " generatedportfoliodiversity = model.trajectory()[3]\n", " generatedportfolioentropy = model.trajectory()[4]\n", " mpf = mpf + [marketportfolio[-1]]\n", " dpf = dpf + [generatedportfoliodiversity[-1]-marketportfolio[-1]]\n", " epf = epf + [generatedportfolioentropy[-1]-marketportfolio[-1]]\n", " eepf = eepf + [equallyweightedportfolio[-1]-marketportfolio[-1]]" ] }, { "cell_type": "code", "execution_count": 318, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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500 rows × 4 columns

\n", "
" ], "text/plain": [ " 0 diversity entropy equallyweighted\n", "0 1.173838 0.096167 0.016528 0.159766\n", "1 1.306378 0.341359 0.081607 0.027226\n", "2 0.988684 0.201706 0.030802 0.344920\n", "3 1.197379 0.259830 0.048195 0.136226\n", "4 0.987704 0.259562 0.039772 0.345900\n", "5 1.021571 0.173224 0.024432 0.312034\n", "6 1.100554 0.220099 0.054563 0.233050\n", "7 0.983995 0.610554 0.040534 0.349609\n", "8 1.113492 0.194992 0.043599 0.220112\n", "9 1.181650 0.368189 0.071781 0.151955\n", "10 1.076069 0.555603 -0.019649 0.257535\n", "11 1.166174 0.077224 0.017451 0.167431\n", "12 1.212959 0.210487 0.058536 0.120646\n", "13 1.272189 0.256990 0.045732 0.061415\n", "14 1.233280 0.219336 0.042087 0.100324\n", "15 1.251051 0.267250 0.050123 0.082554\n", "16 1.099758 0.298398 0.057340 0.233847\n", "17 1.294036 0.256419 0.057291 0.039569\n", "18 1.251263 2.549143 0.015392 0.082341\n", "19 1.158134 0.284258 0.069500 0.175470\n", "20 0.911935 0.193538 0.030087 0.421669\n", "21 1.074674 0.287486 0.062115 0.258930\n", "22 1.145092 0.226774 0.055627 0.188513\n", "23 1.245199 0.141935 0.022677 0.088405\n", "24 1.008309 0.186942 0.033142 0.325295\n", "25 1.140340 0.250312 0.032727 0.193264\n", "26 1.404601 0.116107 0.023266 -0.070997\n", "27 1.140904 0.202590 0.043720 0.192700\n", "28 1.286259 0.271038 0.063570 0.047345\n", "29 1.232226 0.296391 0.066253 0.101378\n", ".. ... ... ... ...\n", "470 1.036578 0.142793 0.003536 0.297026\n", "471 1.222759 0.206727 0.036704 0.110846\n", "472 1.455548 0.129772 0.030478 -0.121943\n", "473 0.870198 0.039135 0.019928 0.463407\n", "474 1.109853 0.199734 0.032342 0.223751\n", "475 1.156791 1.423641 0.033982 0.176813\n", "476 1.290993 0.147669 0.030688 0.042611\n", "477 1.150186 0.199739 0.038018 0.183418\n", "478 1.154007 0.168307 0.045912 0.179598\n", "479 1.186896 0.264253 0.066407 0.146709\n", "480 0.895194 0.079426 0.002748 0.438411\n", "481 1.118853 0.191680 0.050363 0.214751\n", "482 1.068025 0.270607 0.048410 0.265579\n", "483 1.285340 0.380976 0.045165 0.048264\n", "484 1.057146 0.396803 0.023257 0.276458\n", "485 1.074809 0.189438 0.042698 0.258796\n", "486 0.903245 0.201316 0.043028 0.430359\n", "487 0.984237 0.257731 0.039133 0.349367\n", "488 1.125481 0.093672 0.021415 0.208124\n", "489 1.015381 0.135450 0.019598 0.318223\n", "490 1.061356 0.242897 0.022984 0.272248\n", "491 1.038544 0.105211 0.006312 0.295061\n", "492 1.359632 0.254943 0.042479 -0.026027\n", "493 1.163874 0.207493 0.040266 0.169731\n", "494 1.109066 0.092492 0.003139 0.224539\n", "495 0.924572 0.105929 0.019186 0.409032\n", "496 1.077244 0.178694 0.043242 0.256361\n", "497 1.081284 0.270212 0.050831 0.252321\n", "498 1.126080 0.112923 0.005163 0.207524\n", "499 0.870190 0.598603 0.011079 0.463414\n", "\n", "[500 rows x 4 columns]" ] }, "execution_count": 318, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dfpf=pd.DataFrame(mpf)\n", "dfpf['diversity']=np.array(dpf).tolist()\n", "dfpf['entropy']=np.array(epf).tolist()\n", "dfpf['equallyweighted']=np.array(eepf).tolist()\n", "dfpf" ] }, { "cell_type": "code", "execution_count": 319, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dfpf.hist()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 203, "metadata": {}, "outputs": [ { "data": { "image/png": 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GQBYmexjoB9zqnDuehfFDgKPOuX9kNjY6OtolJ+uesWQubd9vPD9xJUu3/8rNdUrx+u0N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\nlmZmL2THnCIi2aF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ckos0KwtsPuf5lozXRET8VrmiBXj/vgSG3V2fvYeP0+2dufxlzHIOHDvpdWk5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\nASAiEqIUACIiIUoBICISohQAIiIh6n8BglfHOOjPDjMAAAAASUVORK5CYII=\n", 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Aa8BlQBJwo5kl+dqviEhFaB4XzWOXncO8zRlMWL7T63IqVHnsAfwN+C1QUlT2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\nTkSuQmCC\n", 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VUP+HZTPbAqQ55/ad1XQJkGpmrYAdwK3AiPL2KyJSGZ6+piPzN+Rw++RFJa6v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\nhFIAiIhEKAWAiEiE+n9NY76oHD3o6wAAAABJRU5ErkJggg==\n", 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lQH8zyzezGOBq4I3TrlhExAN5qQlcO6Y3Ly3bwsbK0LjVZKecB2BmWWY2F8A5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\nYII=\n", 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HPDsMpAAQEfHIqLw0Kqvr2Xu0zpP+FQAiIh4ZVZAOwNqKKk/6VwCIiHhkeN9U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\nRU5ErkJggg==\n", 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JGbddlB9IDfXOANx9mLv3OvkFlAAFwBIzWwd0BBab2b+FhbuX1vy6HXgV6H+K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\nSJxSAIiIxKn/D0pulSmtKAgIAAAAAElFTkSuQmCC\n", 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RyEpPZVhRPsOKPnky2f6Dh1mzLRQM2/awemsdCzd8yNOLq3n9vRrum1ah+xwLEPkawE/N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\n4XMzs1+HPl9iZmO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HdOX+a7rSLE5TTkjo0TUAkQaUlpzAEzf346/fHc3I7Lb84sMdjP3F3/njmv1UVoXuL1Ai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\n9evYkpgo47MQGBC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HceGZ3ZhfUM6yovr5iwGifMawjC7MvGkEneOiPa70rxQAIiKtJCLCuGJ4OlcM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\nYII=\n", 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MKgBERNpYYmwUz949kv7pSdz/wio+2RGcdw8rAERE2kFyp2ie//YoclMSuOcv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\n", 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D9bvCsq+AAkBEpIH16pjM8zcO46nrc8DBDc/kct3Tyyg+XOp1af+HAkBEpBGY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\nSUVORK5CYII=\n", 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v5mdvL2Zr0QHuObcbY4d1oUm094dVjycAvK9WRCQEnZHVksk/GcKI0zJ4fOoa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\nqP8PVBZdpV1SZK8AAAAASUVORK5CYII=\n", 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OYBGRckRHhvPv113En0b35eCxQkZNWsjr32VREiSHkCoAREQqcHmHBL58eDCX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\nABGREKUAEBEJUf8HE73QWG8d+UYAAAAASUVORK5CYII=\n", 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Oom9KY/7z03Vc9uwC1uw67HVpIp5RAEhIaZFQj5duTGPCtT3ZczifMRPn89i0dRw/oVNG\nJfREeF2AiL+ZGaO6JzMwNYnHPlvH83O2MG3NHq6+oDX9UxPp1qKhriaWkKClICTkLdqyn/+ato5V\nmaXTQQ1iIuib0pgBqYn0T02kXWIsZgoECQ5+XQ66NikAxJ9yjhawYPN+5m/KYV5GDrsOlS4w17xh\nDP1TExmQmki/1MY0iY/xuFKRiikARHzknGP7/jzmb85hfkYO8zP2c/h4IQDnNo0vDYQOjUlv15i4\naM2kSuBQAIjUsOISx3e7jzAvozQQvt12gIKiEiLCjB6tEsoCIZEerRKIDNe5FeIdBYBILcsvLGbZ\n9oPfB8KqXYdxDmKjwrmwfePvp4w6No3T8QPxq7MJAO27ilRDTGQ4/VIT6ZeaCMChvBMs2rKfeRk5\nLMjYz1frswBIjIvmwnaNaJtYn1bn1KdVo9I/myfEaE9BPKcAEKkBCfWjGNG1OSO6Ngdg16HjZccO\ncli+4xCfr91Lccn/7W2HGTRvWI9Wjer9XzCc8jwpLpownYoqtUxTQCJ+UFRcwp7D+ew8mEfmgePs\nPJjHzgN57Dx4nJ0H8sjKLfh/7aMjwmh5Tr3v9xhOhkO/1EQa1ov0aBQSDDQFJBJgIsLDyv6VXx9S\nfvh5fmExmQfz2HlqOJQ9X7b9IEfyiwBo2iCaJ6/qQb+URD+PQOoinwLAzP4MjAFKgCzgJufc7nLa\njQCeAsKBF51z/+1LvyJ1TUxkOKlN4kltEl/u54ePF7J292F+99EarnvxG+4YnMLdwzrqOIL4xNe/\nPY8757o753oAnwAPn97AzMKBicBIoDNwjZl19rFfkZDSsF4k/VIS+eTOAVzZuxUTZ23myucXamlr\n8YlPAeCcO/Xu27FAeQcU0oEM59wW59wJ4G1K9xpE5CzVj4rgf67ozoRre5KRdZRLn5rLlBW7vC5L\ngpTP+49m9qiZ7QSuo5w9AKAFsPOU15ll74lINY3qnsy0Xw+kY7N47np7Bf/+7kqOFhR5XZYEmUoD\nwMxmmtmach5jAJxzDznnWgFvAOPL+4py3qvw1CMzG2tmS8xsSXZ2dlXHIRJyWjWqzztj+/DroR34\ncHkmo56ey+pM3d9Aqq7SAHDODXPOdS3nMeW0pm8CPy3nKzKBVqe8bgn84EDxKf1Nds6lOefSkpKS\nqjIGkZAVER7GvZd05K1f9qGgqITLn5vP5DmbKSkJ3NO7JXD4NAVkZh1OeTkaWF9Os2+BDmbWzsyi\ngKuBqb70KyL/34XtG/PZXQMZel5T/mvaem58ZTFZuflelyUBztdjAP9dNh20ChgO3AVgZslmNg3A\nOVdE6dTQdGAd8K5zbq2P/YrIaRLqR/Hc9b149LKuLN56gJF/n8usDVlelyUBTFcCi9RBG/fl8uu3\nlrN+by639G/HAyPPJToi3OuyxA/O5kpgXUUiUgd1bBrPR+P6c2PfNrw8fyuXTVxARtZRr8uSAKMA\nEKmjYiLD+eOYrrz48zT2HD7OqGfmcvfby5n53T4Kioq9Lk8CgKaARELAviP5/H3mRj5bs5dDeYXE\nx0QwvHMzRp3fnP4piURF6N+CdYVuCCMi5SosLmFeRg6frtrD9LV7yc0vomG9SEZ0KQ2Dvu0bE6H1\nhYKaAkBEKlVQVMzcjTl8unoPM77bx9GCIhrFRjGiazNGdWvOhe0bE657EgQdBYCInJX8wmJmb8jm\n09V7+HLdPvJOFJMYF82l3ZpxQ582dGha/iqlEngUACJSbcdPFPPV+iw+Xb2br9ZnERcdwZz7h1A/\nSrcPCQY6DVREqq1eVDg/7t6cZ6/rzRu/6EPO0RO8tnC712VJLVAAiEiFerc5h8HnJvH815u12mgd\npAAQkTO6Z1hHDuYV8sq8rV6XIjVMASAiZ3R+qwSGdWrKC3O3cPh4odflSA1SAIhIpe65pANH8ot4\nSXsBdYoCQEQq1SW5ISO7NuPleVs5eOyE1+VIDVEAiEiV3HNJR46dKGLy3C1elyI1RAEgIlXSsWk8\nP+mezKvzt5FztMDrcqQGKABEpMruGtaBgqJinv96s9elSA1QAIhIlaUkxfFvPVvw2sLtZB3RLSeD\nnQJARM7KXUM7UFTieHa29gKCnQJARM5Km8ax/Kx3S978Zge7Dx33uhzxgU8BYGZ/NrNVZrbCzL4w\ns+QK2m0zs9Vl7bS6m0iQG39xKg7HxFkZXpciPvB1D+Bx51x351wP4BPg4TO0HeKc61HVVepEJHC1\nPKc+V13QineX7GTngTyvy5Fq8ikAnHNHTnkZCwTu2tIiUqPGDUnFzHjmq01elyLV5PMxADN71Mx2\nAtdR8R6AA74ws6VmNtbXPkXEe80b1uPa9Na8v2wX23KOeV2OVEOlAWBmM81sTTmPMQDOuYecc62A\nN4DxFXxNf+dcL2AkMM7MLjpDf2PNbImZLcnOzq7GkETEX+4YkkJkuPH0l9oLCEaVBoBzbphzrms5\njymnNX0T+GkF37G77M8s4EMg/Qz9TXbOpTnn0pKSkqo+EhHxuybxMfy8b1s+WrGLjKyjXpcjZ8nX\ns4A6nPJyNLC+nDaxZhZ/8jkwHFjjS78iEjh+dVF7YiLD+fvMjV6XImfJ12MA/102HbSK0l/sdwGY\nWbKZTStr0xSYZ2YrgcXAp865z33sV0QCROO4aG7q15ZPVu1h/d4jlf+ABAzdFF5EfHYo7wQD/2cW\n/VMTmXRDb6/LCWm6KbyI+FVC/ShuGdCOz9fuZc2uw16XI1UU4XUBIlI33DKgHa/M38pNryymU/MG\ntG5U//tHq7JHw3qRXpcpp1AAiEiNaFgvkonX9eKdb0uvDp62eg8H8wp/0OZkKLRpXJ/r+7QhOaGe\nRxWLAkBEaszADkkM7PB/p28fyS9k54E8dh7IY8f3j+N8t+cI09fu5av1WXw0rj8xkeEeVh26FAAi\nUmsaxETSJbkhXZIb/uCz2RuyuOmVb/njx2t57PLuHlQnOggsIp4YfG4T7hicwluLd/LR8l1elxOS\nFAAi4pl7L+lIettG/PbD1bqS2AMKABHxTER4GE9f05OYyHDGvbGM4yeKvS4ppCgARMRTzRrG8ORV\nPdiYlcsjU9d6XU5IUQCIiOcGdUxi3OBU3lmykw+WZXpdTshQAIhIQLh7WAcubNeIhz5cQ0ZWrtfl\nhAQFgIgEhJPHA+pHhXOHjgf4hQJARAJG0walxwM2ZR3l4SlaNb62KQBEJKBc1DGJ8UNSeW9pJv9a\nquMBtUkBICIB5+5hHenTvhG//2gNm/bpeEBtUQCISMAJDzOevronsdHh3P7GMoVALVEAiEhAatIg\nhqev7smeQ8cZ/vc53PnWcp0dVMMUACISsPqlJjL3gYu5bVAKX67bxyVPzuGut5dr2YgaoltCikhQ\nOHDsBJPnbOG1hdvILyxm9PnJ3Dm0AylJcV6XFlD8fktIM7vPzJyZJVbw+Qgz22BmGWb2YE30KSKh\npVFsFA+OPI+59w/hlwPbM33tPi554mvueWeF9giqyec9ADNrBbwInAf0ds7lnPZ5OLARuATIBL4F\nrnHOfVfZd2sPQEQqknO04JQ9ghI6NInj4k5NGHpeU3q1TiAiPDRnuM9mD6AmAuBfwJ+BKUBaOQHQ\nF3jEOfejste/AXDOPVbZdysARKQy2bkFTFmxi1kbsvhmywGKShwN60UyqGMSQzs1YVDHJBLqR3ld\npt+cTQD4dEcwMxsN7HLOrTSzipq1AHae8joTuNCXfkVETkqKj+YXA9vzi4HtOZJfyLxNOXy1PovZ\nG7KYunI3YQYXtG3Ef/zoXNLaNvK63IBSaQCY2UygWTkfPQT8Fhhe2VeU816Fux1mNhYYC9C6devK\nyhMR+V6DmEgu7dacS7s1p6TEsWrXYb5at4/3lmZyxaSF/LRXSx4ceR5J8dFelxoQqj0FZGbdgC+B\nvLK3WgK7gXTn3N5T2mkKSEQ8lXeiiGe+yuDFuVuIiQjn3uEduaFPmzp5nMCvxwBO6XQb5R8DiKD0\nIPBQYBelB4Gvdc5VeucHBYCI1KTN2Ud5ZOpa5m7K4bxm8fxpTFfS29WtaSG/nwZaTgHJZjYNwDlX\nBIwHpgPrgHer8stfRKSmpSTF8dot6Uy6vhe5+UVc+fxC7nlnBct2HCTzYB75haG1BLUuBBORkHT8\nRDETZ2Uwec4WThSXfP9+fHQESfHRJMZFkxQfzaCOSVzRuyVhYRWe6BJQPJkCqg0KABGpbbsPHWfd\nniPkHC0gO7eAnKMnyD5aQE5uAbsOHSfz4HHS2zbivy7vRmqTwL/q2G+ngYqIBLvkhHokJ9Qr9zPn\nHO8tyeTRaeu49Km5jL84ldsGpRAVUTcOHteNUYiI1AIz48oLWjHz3kEM79KUJ2ZsZNQzc1m6/aDX\npdUIBYCISCWS4qOZcG0vXroxjdz8Iq6YtIA/TFnDiaKSyn84gGkKSESkioZ2asqF7Rvz+Ofr+cfC\n7STGRXPn0A5el1Vt2gMQETkLcdER/HFMV37crTnPzMpg+/5jXpdUbQoAEZFq+P2ozkSFh/HwlLUE\n8tmUZ6IAEBGphmYNY/j34R35emM201bvrfwHApACQESkmm7o04YuyQ3448dryc0v9Lqcs6YAEBGp\npojwMB69rBvZRwv42xcbvS7nrCkARER80KNVAtdf2IbXFm5jza7DXpdzVhQAIiI+uu9H59IoNpqH\nPlxNcUnwHBBWAIiI+KhhvUh+P6oTKzMP8+Y3270up8oUACIiNWD0+cn0T23MX6ZvYN+RfK/LqRIF\ngIhIDTAz/jymK4XFJdzw0jdk5xZ4XVKlFAAiIjWkfVIcL994ATsO5HHNC4vIyg3sPQEFgIhIDeqX\nmsirN6ez+9Bxrp6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PfjqyO+lJ8YyfUeR1KX5RAIiI1JOE2Ghu6ZfLZ+v2ULL3qNfl1EkBICJSj269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\nRU5ErkJggg==\n", 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vKGuKD3hdSrUUACIiDWRUj/b4DD5YHZzdQAoAEZEGEh8bzeCO8UE7HLReAsDM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\nIhKmFAAiImFKASAiEqb+H08QHvVezgvGAAAAAElFTkSuQmCC\n", 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SD/plt+S2gVm8siCP5TsPeV2OTxQAIiL15KejutIiLoYXPtvqdSk+UQCIiNST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\nQEQkTP1/iRyxBGxVwswAAAAASUVORK5CYII=\n", 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XW4u4+dVl/Oi/1jD9xhEBfSN7HQQWEWlGF/RL5LHLM5m7cT/PfLnV63JOS1sA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\n", 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PEZFol5qUwMSBOcxdXeHpjWSanQ3UzBYAXRv56D7gB8BFAfQzxjlXZmY5wBtm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\nSUVORK5CYII=\n", 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W0C55DsDMcs3sVf/LPsC7ZrYKWA684px7vSv6FREJJ0P6prNh1yFaw3RKiKAt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\nSikARESilAJARCRKKQBERKLU/wdlAW4aF/EgcQAAAABJRU5ErkJggg==\n", 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R8JK7v9IW2xURiRUDczJITbaYfiREq0NA4Qr1Aj56XQVMDb3eAIyK1nZEROJB\nWkoSg3K6Jl4PQEREms8DKABERBLQ0NxMtu4+yN5DR4IupUUKABGRNhLrcwMoAERE2shHj4SI1RPB\nCgARkTbSr3tnuqanxOx5AAWAiEgbaZ4cpmvMPhNIASAi0oaG5maxdvs+3GPvyTYKABGRNjQsN5M9\nB4/w4d7DQZfyDxQAIiJt6G+Tw8Tek0EVACIibWhon9idHEYBICLShnpkpNE7Mz0mTwQrAERE2lis\nPhJCASAi0saG5WaybkcdDY1NQZfydxQAIiJtbGhuFvUNTSyr3B10KX9HASAi0sY+Maw3fbLSue2Z\nZew+UB90OR9TAIiItLGeGWk8en0x2/Yc5KtPL6WxKTZuCosoAMzsbjPbamZLQ19Tj9PuEjNba2YV\nZvatSLYpIhKPivv34O4rzuCN8moemFcedDlAdGYEe8Dd7z3eQjNLBh4BPknzvMGLzexFd/9rFLYt\nIhI3rhtXyPIte/jxaxWMyO/GxWfkBlpPewwBjQMq3H2Du9cDTwPT2mG7IiIxxcz4r2lnMCq/G7f/\nfhkVO+oCrScaAXCLmS03syfNrEcLy/sBW456Xxn6rEVmNtPMSs2stLq6OgrliYjEjk6pyfzkX4pJ\nT0nii78uZV+As4W1GgBmNt/MVrbwNQ34CVAEjAa2Afe1tIoWPjvuGRB3f9zdS9y9pFevXmHuhohI\n/Mjr3plHrh/DptoDfHd2cKPhrZ4DcPeLwlmRmf0MmN3Cokqg4Kj3+UBVWNWJiHRQ4wdlc/3ZhTy9\naAt3Xno6PTLS2r2GSK8C6nvU2yuBlS00WwwMMbOBZpYGXAO8GMl2RUQ6gmvHFVLf2MQf3t8ayPYj\nPQfwQzNbYWbLgQuB2wDMLM/MXgZw9wbgFmAOsBr4vbuvinC7IiJx7/S+WYwq6M7vFn0QyIQxEV0G\n6u43HOfzKmDqUe9fBl6OZFsiIh3RdeMK+OZzKyjbvIuSAT3bddu6E1hEJECXjcwjIy2Z3y3a0nrj\nKFMAiIgEKCM9hWln9eOlFVXsOdi+l4QqAEREAnbt2EIOHWnihaXtezJYASAiErAR+d04s18WT73X\nvieDFQAiIjHgmrGFrNm+j2WVe9ptmwoAEZEYMG10Hp1Tk/ndex+02zYVACIiMSCzUyqXj+rLn5ZX\ntdvzgRQAIiIx4tpxhRyob+TFZe3ztBwFgIhIjBhd0J1huZk83U73BCgARERihJnxufMGMqqgG4cb\nGtt8e9GYEUxERKLk6rEFXD22oPWGUaAegIhIglIAiIgkKAWAiEiCUgCIiCQoBYCISIKKdErIu81s\nq5ktDX1NPU67TaGZw5aaWWnD6dBiAAAENklEQVQk2xQRkeiIxmWgD7j7vWG0u9Dda6KwPRERiQIN\nAYmIJKho9ABuMbPPAKXA7e6+q4U2Dsw1Mwcec/fHj7cyM5sJzAy9rTOztadYVw7QUXocHWVfOsp+\ngPYlVmlfoH+4Da21yQfMbD6Q28Kiu4B3aS7Qge8Cfd39cy2sI8/dq8ysNzAPuNXdF4Rb5Kkws1J3\nL2nLbbSXjrIvHWU/QPsSq7QvJ6fVHoC7XxTOiszsZ8Ds46yjKvTnDjN7HhgHtGkAiIjIiUV6FVDf\no95eCaxsoU2GmWV+9BqY0lI7ERFpX5GeA/ihmY2meQhoE/BFaB7yAZ5w96lAH+B5M/toe0+5+ysR\nbjccxz3PEIc6yr50lP0A7Uus0r6chFbPAYiISMeky0BFRBJUXAeAmV1iZmvNrMLMvtXCcjOzh0PL\nl5vZmCDqDEcY+zLJzPYcddf1d4KoMxxm9qSZ7TCzFs/1xMtxCWM/4umYFJjZa2a22sxWmdlXW2gT\nL8clnH2J+WNjZp3MbJGZLQvtx3+10KZtj4m7x+UXkAysBwYBacAyYPgxbaYCfwYMGA+8F3TdEezL\nJGB20LWGuT8TgTHAyuMsj5fj0tp+xNMx6QuMCb3OBMrj+P+XcPYl5o9N6O+5a+h1KvAeML49j0k8\n9wDGARXuvsHd64GngWnHtJkG/MqbvQt0P+bKpVgRzr7EDW++x2PnCZrExXEJYz/ihrtvc/clodf7\ngNVAv2OaxctxCWdfYl7o77ku9DY19HXsSdk2PSbxHAD9gKNnTq7kH/8RhNMmFoRb5zmh7uKfzeyM\n9imtTcTLcQlH3B0TMxsAnEXzb5xHi7vjcoJ9gTg4NmaWbGZLgR3APHdv12MSz3MCWwufHZue4bSJ\nBeHUuQTo7+51oaeu/hEY0uaVtY14OS6tibtjYmZdgeeAr7n73mMXt/AtMXtcWtmXuDg27t4IjDaz\n7jRfLn+mux99zqlNj0k89wAqgaNnTs4Hqk6hTSxotU533/tRd9HdXwZSzSyn/UqMqng5LicUb8fE\nzFJp/oH5W3f/QwtN4ua4tLYv8XZs3H038DpwyTGL2vSYxHMALAaGmNlAM0sDrgFePKbNi8BnQmfS\nxwN73H1bexcahlb3xcxyLXQ3nZmNo/nY1bZ7pdERL8flhOLpmITq/Dmw2t3vP06zuDgu4exLPBwb\nM+sV+s0fM+sMXASsOaZZmx6TuB0CcvcGM7sFmEPzVTRPuvsqM7s5tPynwMs0n0WvAA4Anw2q3hMJ\nc1+mA18yswbgIHCNhy4TiDVm9juar8LIMbNK4D9pPsEVV8cljP2Im2MCnAfcAKwIjTkDfBsohPg6\nLoS3L/FwbPoCvzSzZJoD6vfuPrs9f4bpTmARkQQVz0NAIiISAQWAiEiCUgCIiCQoBYCISIJSAIiI\nJCgFgIhIglIAiIgkKAWAiEiC+v9R6JQe5OQSrgAAAABJRU5ErkJggg==\n", 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BICLSB/4+J1D8XgdQAIiI9IGCIVnkZKWxvlZHACIiScXMmJ43WEcAIiLJaFp+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\nSJJSAIiIJCkFgIhIkvr/YasVjC1KjbMAAAAASUVORK5CYII=\n", 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B1j/VFwAHg38ewK8AMLMpQJ5zbk0jTR3wnpmtNLMZ/vQpIhLMOsZFk5YYx9YQ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\nPzHnNFwsYQW/AAAAAElFTkSuQmCC\n", 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Dz7nzlRVU19R5XZZIs+meNpGTEB/r44FLTiWvUzt+8/5nbNtXxWNXjyAtKc7r0kQCpjMA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\nTkSuQmCC\n", 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WB/mN4IACwMymADudc6ua2dQBc8xsmZlNC6RNEZFQMLxXMiu2HaS2Lnj/Nm52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\n", 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Vv6+sme9r3plMBaEAEBE5C+v3HOG/PlrBtxv3cU7zBH5/eTe6NU/wuizNBSQi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\nf2HXNzZKILBHAAAAAElFTkSuQmCC\n", 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FgEgNzIyxfdryyX3DuKp/B15atIkLJs3jo9U6iUwaBwWASC1aNI3hNz86k3/cfi4tmsRw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\nXpf3LxQAIiINpKS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hUnYfPMKBkn89Y+DCni157D/6EBfj87Daf3cyAaCzgEREjmFmdG/VmO6tGn9v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\n", 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ARETqQUKC8fC/9mfPgcPc86fFtGnWhGHd29T8gw1I1wGIiNSTJkmJPHNjHt0y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\nnflmAAAAAElFTkSuQmCC\n", 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XpYmEhNYCkqhX39jM0x9s4S+rd7PWd7vJs/qlMrU4h6nFORRmp3hcoYj/OrIWkAJA5CQ7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\nEBGJUgoAEZEo9f8BWbal/ZZEQf8AAAAASUVORK5CYII=\n", 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Puet2c9FD83l4XnFIPn1MASAi0sYSE+L47hf6896/TuKiQV15eN4mpvxyAVsr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\nRKKUAkBEJEopAEREopQCQEQkSv1/zdCAFoaq37MAAAAASUVORK5CYII=\n", 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W7mXx8mLW7amgZ0oCN0zLY970IQzqnRZ0eSIdRgEgchbuzsqSIyxeXswrG/bh7lx+Xn/m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\n5UGX02oKABGRDnD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WiwJARCTIYmOM+y/P5quTc1i16yh7DnvTC1AAiIh45JbRmQC8uXa/J9tvlwAw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\nRU5ErkJggg==\n", 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RYyTGRvH90dnMK9jJvIJvrGzTrCgARESOc93gjmQmx/H7D9bi73I5wUwBICJy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\nICISpv4XjbltrvQHhG0AAAAASUVORK5CYII=\n", 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UACIiNfD5jNeuOY57ftKHnHU7GPP4V9zzfh7bd5d5XVq9UQCIiBxGRJiPq0/s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\nICISov4//+1A7gq24MAAAAAASUVORK5CYII=\n", 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Fpacysk9Hr8v7hqZsASgARESa4HBFNdNX7OTJf65l5Y4DfOf0HH46tjeJsaGx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\n", 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R8VNG+0pgaEo8ty4p5p7l63h+bUXI3nheN4QREemGjKS2EPjpq9v5244qXlzf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\n", 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mdVk/nQkAHQISEQmBjJREbjy7kBvPLmTljhpeKNvOX5buoOLjQ/zlq+d4UpMC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\no/4POJ2dEKjeV2UAAAAASUVORK5CYII=\n", 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I00uOj+H5m/tjBrf/vYiKZrJ24JQPATnnljjnspxzec65PGp/0fdzzm09puk8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\nYII=\n", 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9CMg5t9o5l+ic6+Cc60DFD/o+Z/zwB1gKpJlZRzOLAG4GPjnvikVEPGJm/Pra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\nVvapFnfwgjcAAAAASUVORK5CYII=\n", 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UH4zuS3rTeO59fwn/WKrF5iX0KAAkZMXHRPDe7X3onZbIQ5Oy+J/PczhSWFTxG0VqCQWA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\njRjeNYUXZ65l9a5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spZktCKZPEZGhxqtnAXq9BGRmbwAF3Xx1N/BNYHYf+pnlnKsxs3zgdTPb5Jx7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\nUv8f4GHQaLsUWXEAAAAASUVORK5CYII=\n", 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KfzPcvcrdqwoLC49tq0REYkhJaCpopO8KesxDQO6+3N2L3L3C3SuAGuA0d99y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\nMLQAAAAASUVORK5CYII=\n", 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CQEQkwq48u5Dag/U8/9bxt0+JLAWAiEiEjSvOprBPD/4Y8JTSCgARkQgLhYwr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\n", 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TGLoUNIgrgRptTuDQUcCXrzcDI0Ov1wL9G6sfEZF4ktcyjay0lEACQHcCi4gE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\n", 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7PRGReFKYm8nGGB4DuBP4GhCdTzwQEYliBTmZsTkIbGaXA5vcfUk7TR14ycwW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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for i in range(N+1):\n", " plt.plot(np.log(np.linspace(1,n,num=n)),np.log(rankedmarketweights[i]))\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 209, "metadata": {}, "outputs": [ { "data": { "image/png": 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v33IJays9nO4dYV2VJ/HHMbHyQIiLdW4oQHeaUn1aa36wqxUgsZtSh/n7KlVe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\n8A8Aj87wPPcqpXYrpXb39PTMf7QiZ9j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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "div=np.zeros(N+1)\n", "for i in range(N+1):\n", " div[i]=np.sum(rankedmarketweights[i]**p)**(1/p)\n", "plt.plot(div)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 210, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "512000000000.00006" ] }, "execution_count": 210, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.sum((1/n*np.ones(n))**p)**(1/p)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "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": "3.6.8" } }, "nbformat": 4, "nbformat_minor": 2 }