{ "metadata": { "name": "GOOG V. AAPL Correlation Arb" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "##Google Vs. Apple Correlation Arbitrage Trading Algorithms | By Andrew Conti\n", "This notebook contains an algorithm designed to profit off of the correlation between Apple's and Google's common stock in December 2012 to May 2012. It explores the process of developing the algorithm from conception to full maturation. The final algorithm returns 14.1% in only 128 trading days after commission fees and accounting for slippage. \n", "\n", "This notebook and the data used in this example is located at [http://github.com/agconti/AGCTrading](http://github.com/agconti/AGCTrading)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "import pandas as pd\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "from scipy.stats import pearsonr\n", "from zipline.algorithm import TradingAlgorithm\n", "from zipline.transforms import MovingAverage, batch_transform\n", "from zipline.utils.factory import load_from_yahoo\n", "from zipline.finance import slippage, commission" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "# Uncomment the line below to get the data for yourself, but it is already included in the above mentioned repository\n", "#data = load_from_yahoo(stocks=['AAPL', 'GOOG'],start=datetime.datetime(2012,11,1), end=datetime.datetime(2013,5,8)); data.save('goog_aapl_tests.dat')\n", "data = pd.load('goog_aapl_tests.dat')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": {}, "source": [ "###Here is the phenomenon:\n", "\n", "Throughout 2012 Apple's and Google's stocks were moving relatively together with respect to primary trends. After January 2013, the stocks diverge in a highly correlated but generally negative fashion." ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize(12,6))\n", "\n", "#data.SPX.plot(label='S&P Benchmark')\n", "data.GOOG.plot()\n", "data.AAPL.plot()\n", "\n", "legend(loc='best')\n", "plt.title(\"Apple & Google Adj Closing Prices\")" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 14, "text": [ "" ] }, { "output_type": "display_data", "png": 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Y27/eR0yM6FKyZ49YibJMGaB6dZF8lymT+y0pSVzclpoqEvVffxWdJHr21Nx5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} ], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "###The Trading Algorithm:\n", "\n", "Here is the most basic version of our algorithm and will be refined later in the notebook. It works by comparing the prices between Google and Apple,( `self.pricea` for Apple and `self.priceg` for Google), and then buys or sells the stock if the correlation, `corr`, of the stocks in the last 5 days is greater than our set minimun correlation value, `self.corr_tolerance`. To determine whether to buy or sell Google, it checks the movement of Apple's stock. If Apple went down yesterday relative to today, it buys Google; if apple's stock went up it sells Google. \n", "\n", "Here's a look for the coded logic for buying and selling Google:\n", "\n", " if self.priceg < self.priceglag and np.abs(corr) > self.corr_tolerance:\n", " self.order('AAPL',-100)\n", " self.sell_orders.append((data.AAPL.datetime, pval))\n", " print \"{dt}: Selling 100 AAPL shares.\".format(dt = data.AAPL.datetime)\n", " elif self.priceg > self.priceglag and np.abs(corr) > self.corr_tolerance:\n", " self.order('AAPL',100)\n", " self.buy_orders.append((data.AAPL.datetime, pval))\n", " print \"{dt}: Buying 100 AAPL shares.\".format(dt = data.AAPL.datetime)\n", "\n", "\n", "The algorithm use the same logic to trade Apple's stock. In this way, the pricing algorithm makes sure that the two stocks have indeed been following each other and then trades each stock by the other's divergence. The full algorithm is shown below:\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "class GOOG_AAPL_COR(TradingAlgorithm): # inherit from TradingAlgorithm\n", " \"\"\"\n", " Google Apple Correlation algorithm.\n", "\n", " An algorithm designed to exploit the correlation in the movement of Apple's and \n", " Google's common stock. \n", " \"\"\"\n", " def initialize(self):\n", " self.capital_base = 1000000\n", " self.pricea = 0\n", " self.priceg = 0\n", " self.window_length = 5 \n", " self.corr_tolerance = 0.9\n", " self.max_notional = self.capital_base + 0.1\n", " self.min_notional = self.capital_base * (-1) \n", " self.pricealag = 0\n", " self.priceglag = 0\n", " self.buy_orders = []\n", " self.sell_orders = [] \n", " self.corr_values_aapl = []\n", " self.corr_values_goog = []\n", "\n", " def handle_data(self, data):\n", "\n", " self.pricea = data.AAPL.price\n", " self.priceg = data.GOOG.price \n", " \n", " # compute correlation between stocks\n", " corr, pval = self.correlation(data, self.pricea, self.priceg)\n", " print str(data.AAPL.datetime) + ': Pearson Correlation: ' + str(corr) # print results to console\n", "\n", " #notional = self.portfolio.positions[data.AAPL].amount * pricea\n", " #notional = notional + self.portfolio.positions[data.GOOG].amount * priceg \n", " \n", "\n", " # Decision logic\n", " if self.priceg < self.priceglag and np.abs(corr) > self.corr_tolerance:\n", " self.order('AAPL',-100)\n", " self.sell_orders.append((data.AAPL.datetime, pval)) # save the order pval and time for analysis later on\n", " print \"{dt}: Selling 100 AAPL shares.\".format(dt = data.AAPL.datetime) \n", " elif self.priceg > self.priceglag and np.abs(corr) > self.corr_tolerance:\n", " self.order('AAPL',100)\n", " self.buy_orders.append((data.AAPL.datetime, pval))\n", " print \"{dt}: Buying 100 AAPL shares.\".format(dt = data.AAPL.datetime)\n", "\n", " if self.pricea < self.pricealag and np.abs(corr) > self.corr_tolerance:\n", " self.order('GOOG',-100)\n", " self.sell_orders.append((data.GOOG.datetime, pval))\n", " print \"{dt}: Selling 100 GOOG shares.\".format(dt = data.GOOG.datetime)\n", " elif self.pricea > self.pricealag and np.abs(corr) > self.corr_tolerance:\n", " self.order('GOOG',100)\n", " self.buy_orders.append((data.GOOG.datetime, pval)) \n", " print \"{dt}: Buying 100 GOOG shares.\".format(dt = data.GOOG.datetime)\n", "\n", " # lag price variables \n", " self.pricealag = data.AAPL.price\n", " self.priceglag = data.GOOG.price\n", " \n", " # correlation method\n", " def correlation(self, data, pricea, priceg):\n", " self.corr_values_aapl.append(pricea)\n", " self.corr_values_goog.append(priceg)\n", " corr = pearsonr(self.corr_values_aapl[-self.window_length:], self.corr_values_goog[-self.window_length:])\n", " return corr" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 15 }, { "cell_type": "markdown", "metadata": {}, "source": [ "###Lets simulate our algorithm on historical daily returns, from November 2012 through May 2013:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "GOOG_AAPL_COR = GOOG_AAPL_COR()\n", "results_GOOG_AAPL_COR = GOOG_AAPL_COR.run(data)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "2012-11-01 00:00:00+00:00: Pearson Correlation: nan\n", "2012-11-02 00:00:00+00:00: Pearson Correlation: -1.0\n", "2012-11-02 00:00:00+00:00: Buying 100 AAPL shares.\n", "2012-11-02 00:00:00+00:00: Selling 100 GOOG shares.\n", "2012-11-05 00:00:00+00:00: Pearson Correlation: 0.059824040231\n", "2012-11-06 00:00:00+00:00: Pearson Correlation: 0.174659180436\n", "2012-11-07 00:00:00+00:00: Pearson Correlation: 0.824233785309\n", "2012-11-08 00:00:00+00:00: Pearson Correlation: 0.952297709192\n", "2012-11-08 00:00:00+00:00: Selling 100 AAPL shares.\n", "2012-11-08 00:00:00+00:00: Selling 100 GOOG shares.\n", "2012-11-09 00:00:00+00:00: Pearson Correlation: 0.991554650251\n", "2012-11-09 00:00:00+00:00: Buying 100 AAPL shares.\n", "2012-11-09 00:00:00+00:00: Buying 100 GOOG shares.\n", "2012-11-12 00:00:00+00:00: Pearson Correlation: 0.929368022202\n", "2012-11-12 00:00:00+00:00: Buying 100 AAPL shares.\n", "2012-11-12 00:00:00+00:00: Selling 100 GOOG shares.\n", "2012-11-13 00:00:00+00:00: Pearson Correlation: 0.757576476824\n", "2012-11-14 00:00:00+00:00: Pearson Correlation: 0.845836369332\n", "2012-11-15 00:00:00+00:00: Pearson Correlation: 0.904363385855\n", "2012-11-15 00:00:00+00:00: Selling 100 AAPL shares.\n", "2012-11-15 00:00:00+00:00: Selling 100 GOOG shares.\n", "2012-11-16 00:00:00+00:00: Pearson Correlation: 0.919167495476\n", "2012-11-16 00:00:00+00:00: Selling 100 AAPL shares.\n", "2012-11-16 00:00:00+00:00: Buying 100 GOOG shares.\n", "2012-11-19 00:00:00+00:00: Pearson Correlation: 0.98644535697\n", "2012-11-19 00:00:00+00:00: Buying 100 AAPL shares.\n", "2012-11-19 00:00:00+00:00: Buying 100 GOOG shares.\n", "2012-11-20 00:00:00+00:00: Pearson Correlation: 0.988017374005\n", "2012-11-20 00:00:00+00:00: Buying 100 AAPL shares.\n", "2012-11-20 00:00:00+00:00: Selling 100 GOOG shares.\n", "2012-11-21 00:00:00+00:00: Pearson Correlation: 0.98614541901\n", "2012-11-21 00:00:00+00:00: Selling 100 AAPL shares.\n", "2012-11-21 00:00:00+00:00: Buying 100 GOOG shares.\n", "2012-11-23 00:00:00+00:00: Pearson Correlation: 0.956502301266\n", "2012-11-23 00:00:00+00:00: Buying 100 AAPL shares.\n", "2012-11-23 00:00:00+00:00: Buying 100 GOOG shares.\n", "2012-11-26 00:00:00+00:00: Pearson Correlation: -0.850795924042\n", "2012-11-27 00:00:00+00:00: Pearson Correlation: -0.388234458157\n", "2012-11-28 00:00:00+00:00: Pearson Correlation: 0.132856328942\n", "2012-11-29 00:00:00+00:00: Pearson Correlation: 0.244364901771\n", "2012-11-30 00:00:00+00:00: Pearson Correlation: -0.233575324747\n", "2012-12-03 00:00:00+00:00: Pearson Correlation: 0.394085687777\n", "2012-12-04 00:00:00+00:00: Pearson Correlation: 0.281478815016\n", "2012-12-05 00:00:00+00:00: Pearson Correlation: 0.738307236796\n", "2012-12-06 00:00:00+00:00: Pearson Correlation: 0.840028399437\n", "2012-12-07 00:00:00+00:00: Pearson Correlation: 0.87515944915\n", "2012-12-10 00:00:00+00:00: Pearson Correlation: 0.793381038641\n", "2012-12-11 00:00:00+00:00: Pearson Correlation: 0.699662917774" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "2012-12-12 00:00:00+00:00: Pearson Correlation: 0.61994502866\n", "2012-12-13 00:00:00+00:00: Pearson Correlation: 0.269620004501\n", "2012-12-14 00:00:00+00:00: Pearson Correlation: -0.279590717582\n", "2012-12-17 00:00:00+00:00: Pearson Correlation: -0.546140037064\n", "2012-12-18 00:00:00+00:00: Pearson Correlation: -0.0881216339673\n", "2012-12-19 00:00:00+00:00: Pearson Correlation: 0.403905418053\n", "2012-12-20 00:00:00+00:00: Pearson Correlation: 0.755250505131\n", "2012-12-21 00:00:00+00:00: Pearson Correlation: 0.339476408109\n", "2012-12-24 00:00:00+00:00: Pearson Correlation: 0.549057229948\n", "2012-12-26 00:00:00+00:00: Pearson Correlation: 0.739033938857\n", "2012-12-27 00:00:00+00:00: Pearson Correlation: 0.744796824599\n", "2012-12-28 00:00:00+00:00: Pearson Correlation: 0.821945371289\n", "2012-12-31 00:00:00+00:00: Pearson Correlation: 0.466884246454\n", "2013-01-02 00:00:00+00:00: Pearson Correlation: 0.876920310513\n", "2013-01-03 00:00:00+00:00: Pearson Correlation: 0.927515534537\n", "2013-01-03 00:00:00+00:00: Buying 100 AAPL shares.\n", "2013-01-03 00:00:00+00:00: Selling 100 GOOG shares.\n", "2013-01-04 00:00:00+00:00: Pearson Correlation: 0.494477226709\n", "2013-01-07 00:00:00+00:00: Pearson Correlation: -0.387391976151\n", "2013-01-08 00:00:00+00:00: Pearson Correlation: -0.927721502534\n", "2013-01-08 00:00:00+00:00: Selling 100 AAPL shares.\n", "2013-01-08 00:00:00+00:00: Buying 100 GOOG shares.\n", "2013-01-09 00:00:00+00:00: Pearson Correlation: -0.909803583801\n", "2013-01-09 00:00:00+00:00: Buying 100 AAPL shares.\n", "2013-01-09 00:00:00+00:00: Selling 100 GOOG shares.\n", "2013-01-10 00:00:00+00:00: Pearson Correlation: -0.233228339811\n", "2013-01-11 00:00:00+00:00: Pearson Correlation: -0.446151532632\n", "2013-01-14 00:00:00+00:00: Pearson Correlation: 0.806202475541\n", "2013-01-15 00:00:00+00:00: Pearson Correlation: 0.907783047386\n", "2013-01-15 00:00:00+00:00: Buying 100 AAPL shares.\n", "2013-01-15 00:00:00+00:00: Selling 100 GOOG shares.\n", "2013-01-16 00:00:00+00:00: Pearson Correlation: 0.696926220586\n", "2013-01-17 00:00:00+00:00: Pearson Correlation: 0.442689440196\n", "2013-01-18 00:00:00+00:00: Pearson Correlation: -0.496565907528\n", "2013-01-22 00:00:00+00:00: Pearson Correlation: -0.717758128217\n", "2013-01-23 00:00:00+00:00: Pearson Correlation: 0.91836915185\n", "2013-01-23 00:00:00+00:00: Buying 100 AAPL shares.\n", "2013-01-23 00:00:00+00:00: Buying 100 GOOG shares.\n", "2013-01-24 00:00:00+00:00: Pearson Correlation: -0.601692961309" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "2013-01-25 00:00:00+00:00: Pearson Correlation: -0.703340810332\n", "2013-01-28 00:00:00+00:00: Pearson Correlation: -0.708631151794\n", "2013-01-29 00:00:00+00:00: Pearson Correlation: -0.942863822082\n", "2013-01-29 00:00:00+00:00: Buying 100 AAPL shares.\n", "2013-01-29 00:00:00+00:00: Buying 100 GOOG shares.\n", "2013-01-30 00:00:00+00:00: Pearson Correlation: 0.105071788809\n", "2013-01-31 00:00:00+00:00: Pearson Correlation: 0.267677939369\n", "2013-02-01 00:00:00+00:00: Pearson Correlation: -0.0734603761372\n", "2013-02-04 00:00:00+00:00: Pearson Correlation: -0.199311330537\n", "2013-02-05 00:00:00+00:00: Pearson Correlation: 0.0510478602377\n", "2013-02-06 00:00:00+00:00: Pearson Correlation: 0.353566175356\n", "2013-02-07 00:00:00+00:00: Pearson Correlation: 0.693378247595\n", "2013-02-08 00:00:00+00:00: Pearson Correlation: 0.952514956078\n", "2013-02-08 00:00:00+00:00: Buying 100 AAPL shares.\n", "2013-02-08 00:00:00+00:00: Buying 100 GOOG shares.\n", "2013-02-11 00:00:00+00:00: Pearson Correlation: 0.922284099348\n", "2013-02-11 00:00:00+00:00: Selling 100 AAPL shares.\n", "2013-02-11 00:00:00+00:00: Buying 100 GOOG shares.\n", "2013-02-12 00:00:00+00:00: Pearson Correlation: 0.855718558992\n", "2013-02-13 00:00:00+00:00: Pearson Correlation: 0.442512222602\n", "2013-02-14 00:00:00+00:00: Pearson Correlation: -0.15909805662\n", "2013-02-15 00:00:00+00:00: Pearson Correlation: -0.660823444996\n", "2013-02-19 00:00:00+00:00: Pearson Correlation: -0.873349113446\n", "2013-02-20 00:00:00+00:00: Pearson Correlation: -0.373572157847\n", "2013-02-21 00:00:00+00:00: Pearson Correlation: -0.101445899412\n", "2013-02-22 00:00:00+00:00: Pearson Correlation: 0.398375188553\n", "2013-02-25 00:00:00+00:00: Pearson Correlation: 0.935757136186\n", "2013-02-25 00:00:00+00:00: Selling 100 AAPL shares.\n", "2013-02-25 00:00:00+00:00: Selling 100 GOOG shares.\n", "2013-02-26 00:00:00+00:00: Pearson Correlation: 0.488289511759\n", "2013-02-27 00:00:00+00:00: Pearson Correlation: 0.236926672758\n", "2013-02-28 00:00:00+00:00: Pearson Correlation: -0.134727207432\n", "2013-03-01 00:00:00+00:00: Pearson Correlation: -0.800766068617\n", "2013-03-04 00:00:00+00:00: Pearson Correlation: -0.966418239347\n", "2013-03-04 00:00:00+00:00: Buying 100 AAPL shares.\n", "2013-03-04 00:00:00+00:00: Selling 100 GOOG shares.\n", "2013-03-05 00:00:00+00:00: Pearson Correlation: -0.612146269391\n", "2013-03-06 00:00:00+00:00: Pearson Correlation: -0.523858670059\n", "2013-03-07 00:00:00+00:00: Pearson Correlation: 0.128313159843" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "2013-03-08 00:00:00+00:00: Pearson Correlation: 0.856768169064\n", "2013-03-11 00:00:00+00:00: Pearson Correlation: 0.37064308425\n", "2013-03-12 00:00:00+00:00: Pearson Correlation: 0.694439233109\n", "2013-03-13 00:00:00+00:00: Pearson Correlation: 0.848864875018\n", "2013-03-14 00:00:00+00:00: Pearson Correlation: 0.583850851016\n", "2013-03-15 00:00:00+00:00: Pearson Correlation: -0.382247521161\n", "2013-03-18 00:00:00+00:00: Pearson Correlation: -0.986326278298\n", "2013-03-18 00:00:00+00:00: Selling 100 AAPL shares.\n", "2013-03-18 00:00:00+00:00: Buying 100 GOOG shares.\n", "2013-03-19 00:00:00+00:00: Pearson Correlation: -0.982469497378\n", "2013-03-19 00:00:00+00:00: Buying 100 AAPL shares.\n", "2013-03-19 00:00:00+00:00: Selling 100 GOOG shares.\n", "2013-03-20 00:00:00+00:00: Pearson Correlation: -0.916359799195\n", "2013-03-20 00:00:00+00:00: Buying 100 AAPL shares.\n", "2013-03-20 00:00:00+00:00: Selling 100 GOOG shares.\n", "2013-03-21 00:00:00+00:00: Pearson Correlation: -0.69849547277\n", "2013-03-22 00:00:00+00:00: Pearson Correlation: -0.483088392126\n", "2013-03-25 00:00:00+00:00: Pearson Correlation: -0.769950032764\n", "2013-03-26 00:00:00+00:00: Pearson Correlation: -0.692494102481\n", "2013-03-27 00:00:00+00:00: Pearson Correlation: 0.534907310429\n", "2013-03-28 00:00:00+00:00: Pearson Correlation: 0.973183362731\n", "2013-03-28 00:00:00+00:00: Selling 100 AAPL shares.\n", "2013-03-28 00:00:00+00:00: Selling 100 GOOG shares.\n", "2013-04-01 00:00:00+00:00: Pearson Correlation: 0.726670249705\n", "2013-04-02 00:00:00+00:00: Pearson Correlation: 0.143611794748\n", "2013-04-03 00:00:00+00:00: Pearson Correlation: -0.465442720063\n", "2013-04-04 00:00:00+00:00: Pearson Correlation: -0.395440571443\n", "2013-04-05 00:00:00+00:00: Pearson Correlation: 0.888941897899\n", "2013-04-08 00:00:00+00:00: Pearson Correlation: 0.799236827344\n", "2013-04-09 00:00:00+00:00: Pearson Correlation: 0.759685868182\n", "2013-04-10 00:00:00+00:00: Pearson Correlation: 0.457328874099\n", "2013-04-11 00:00:00+00:00: Pearson Correlation: 0.780718813282\n", "2013-04-12 00:00:00+00:00: Pearson Correlation: 0.863304390263\n", "2013-04-15 00:00:00+00:00: Pearson Correlation: 0.724997330538\n", "2013-04-16 00:00:00+00:00: Pearson Correlation: 0.623692113603\n", "2013-04-17 00:00:00+00:00: Pearson Correlation: 0.744004178512\n", "2013-04-18 00:00:00+00:00: Pearson Correlation: 0.894304567757" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "[2013-06-04 16:48] INFO: Performance: Simulated 128 trading days out of 128.\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "[2013-06-04 16:48] INFO: Performance: first open: 2012-11-01 13:30:00+00:00\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "[2013-06-04 16:48] INFO: Performance: last close: 2013-05-07 20:00:00+00:00\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "2013-04-19 00:00:00+00:00: Pearson Correlation: 0.204682970752\n", "2013-04-22 00:00:00+00:00: Pearson Correlation: 0.203268615806\n", "2013-04-23 00:00:00+00:00: Pearson Correlation: 0.408273152978\n", "2013-04-24 00:00:00+00:00: Pearson Correlation: 0.696724629857\n", "2013-04-25 00:00:00+00:00: Pearson Correlation: 0.829059086718\n", "2013-04-26 00:00:00+00:00: Pearson Correlation: -0.0460241057536\n", "2013-04-29 00:00:00+00:00: Pearson Correlation: 0.405794075795\n", "2013-04-30 00:00:00+00:00: Pearson Correlation: 0.707738144101\n", "2013-05-01 00:00:00+00:00: Pearson Correlation: 0.859529936421\n", "2013-05-02 00:00:00+00:00: Pearson Correlation: 0.964752298038\n", "2013-05-02 00:00:00+00:00: Buying 100 AAPL shares.\n", "2013-05-02 00:00:00+00:00: Buying 100 GOOG shares.\n", "2013-05-03 00:00:00+00:00: Pearson Correlation: 0.838557400323\n", "2013-05-06 00:00:00+00:00: Pearson Correlation: 0.985339456603\n", "2013-05-06 00:00:00+00:00: Buying 100 AAPL shares.\n", "2013-05-06 00:00:00+00:00: Buying 100 GOOG shares.\n", "2013-05-07 00:00:00+00:00: Pearson Correlation: 0.987890482366\n", "2013-05-07 00:00:00+00:00: Selling 100 AAPL shares.\n", "2013-05-07 00:00:00+00:00: Selling 100 GOOG shares.\n" ] } ], "prompt_number": 16 }, { "cell_type": "markdown", "metadata": {}, "source": [ "###Below is a graphical analysis of its performance:\n", "\n", "The first chart is a plot of movement of Apple and Google's stock price during our simulation period. The second plots the date at which we bought and sold stock by the relative confidence of that trade. Our confidence is expressed as a p-value of the Pearson correlation coefficient. The lower the p-value, the more confident we are that the correlation is not random chance. The next two plots track our portfolio value and the returns of the portfolio throughout our simulation." ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.figure(figsize(18,10), dpi=1600)\n", "\n", "# plot 1 \n", "ax1 = plt.subplot(411)\n", "data[['GOOG', 'AAPL']].plot(ax=ax1)\n", "plt.ylabel('Price')\n", "plt.setp(ax1.get_xticklabels(), visible=False) # hide plot 1 x axis labels\n", "plt.title(\"GOOG_AAPL_COR Results\")\n", "\n", "# prepare data for plot 2\n", "GOOG_AAPL_COR.buy_orders = np.asarray(GOOG_AAPL_COR.buy_orders)\n", "GOOG_AAPL_COR.sell_orders = np.asarray(GOOG_AAPL_COR.sell_orders)\n", "\n", "#plot 2\n", "ax2 = plt.subplot(412, sharex=ax1)\n", "plt.plot(GOOG_AAPL_COR.buy_orders[:,0], GOOG_AAPL_COR.buy_orders[:,1], color = 'g')\n", "plt.plot(GOOG_AAPL_COR.sell_orders[:,0], GOOG_AAPL_COR.sell_orders[:,1], color = 'r')\n", "plt.plot(GOOG_AAPL_COR.buy_orders[:,0], GOOG_AAPL_COR.buy_orders[:,1], '^', c='g', markersize=10, label='buy')\n", "plt.plot(GOOG_AAPL_COR.sell_orders[:,0], GOOG_AAPL_COR.sell_orders[:,1], 'v', c='r', markersize=10, label='sell')\n", "plt.ylabel('P-Value')\n", "plt.grid(color = 'k')\n", "plt.setp(ax2.get_xticklabels(), visible=False)\n", "plt.legend()\n", "\n", "# plot 3\n", "ax3 = plt.subplot(413, sharex=ax1)\n", "results_GOOG_AAPL_COR.portfolio_value.plot()\n", "plt.ylabel('Portfolio Value')\n", "plt.setp(ax3.get_xticklabels(), visible=False)\n", "plt.legend()\n", "\n", "#plot 4\n", "ax4 = plt.subplot(414, sharex=ax1)\n", "results_GOOG_AAPL_COR.portfolio_value.pct_change().plot()\n", "plt.ylabel('Portfolio % Change')\n", "plt.legend(loc='best')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 17, "text": [ "" ] }, { "output_type": "display_data", "png": 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R0yCGTqcCGHVT165gb9/wdfLyVJAjMBBatlT7rtZet9jJQ4UQQgghhBBCCNF89uyBZcvg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\nERERcVh/AE7v95VjGQedAAAAAElFTkSuQmCC\n" } ], "prompt_number": 17 }, { "cell_type": "code", "collapsed": false, "input": [ "results_GOOG_AAPL_COR.portfolio_value.describe() # show the summary statistics for our portfolio value" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 18, "text": [ "count 128.000000\n", "mean 967163.396008\n", "std 21977.717181\n", "min 921489.828000\n", "25% 947888.435500\n", "50% 961277.381000\n", "75% 986565.932000\n", "max 1000000.000000\n", "dtype: float64" ] } ], "prompt_number": 18 }, { "cell_type": "code", "collapsed": false, "input": [ "results_GOOG_AAPL_COR.portfolio_value.pct_change().apply(lambda x: x * 100).describe() # show the summary statistics for our returns" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 19, "text": [ "count 127.000000\n", "mean -0.037103\n", "std 0.467640\n", "min -2.852347\n", "25% -0.175055\n", "50% -0.036696\n", "75% 0.230159\n", "max 0.979195\n", "dtype: float64" ] } ], "prompt_number": 19 }, { "cell_type": "code", "collapsed": false, "input": [ "# Plot the distribution of the returns\n", "fig = plt.figure(figsize(8,4))\n", "results_GOOG_AAPL_COR.portfolio_value.pct_change().dropna().plot(kind='kde')\n", "plt.xlabel=('Returns')\n", "title(\"The Distribution of the Returns for\\nGOOG_AAPL_COR\")" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 20, "text": [ "" ] }, { "output_type": "display_data", "png": 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9V1l6z08uLPZEpBuWuHteAS8vaYBeXp5l1k9kSezZE5FujB0LdOkCvPSSZdbf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\nKiP33fOsgX17qgr27ImoWjh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NXv7+G0hIAK5ckdazfz/w2WfSFwU3N+lWrgEBgL+/9N9m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\n" } ], "prompt_number": 20 }, { "cell_type": "markdown", "metadata": {}, "source": [ "###The Results:\n", "\n", "As you can see, the performance of the algorithm is poor. On average, it bled 0.03% per day. On its best day it gained just under a percent, (0.98%), and on its worst it lost 2.852%. Throughout its trading our algorithm experienced a protracted drawdown and finished below its high-water mark at $952,641.669, a 4.735% loss. The upside? There is tons of potential.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###Lets do better.\n", "\n", "Lets clean the signal from the noise by adjusting Apple and Google's returns by the S&P returns. Through this process we are reducing the systematic noise in the movements of the two stock prices and getting closer to the actual signals of the two firm's movements. Below is a graphic representation of the process: \n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize(18, 10), dpi=1600)\n", "\n", "ax1 = fig.add_subplot(211)\n", "data.SPX.plot(label='S&P Benchmark')\n", "data.GOOG.plot()\n", "data.AAPL.plot()\n", "plt.ylabel(r'Stock / Index Value')\n", "legend(loc='best')\n", "plt.setp(ax1.get_xticklabels(), visible=False)\n", "plt.title(\"Adj Closing Prices\")\n", "\n", "ax2 = fig.add_subplot(212, sharex=ax1)\n", "(data.SPX.pct_change() - data.SPX.pct_change()).plot(label='S&P Benchmark, flatlined')\n", "(data.GOOG.pct_change() - data.SPX.pct_change()).plot(label='GOOG adj for var in S&P')\n", "(data.AAPL.pct_change() - data.SPX.pct_change()).plot(label='AAPL adj for var in S&P')\n", "plt.ylabel(\"Daily Return\")\n", "legend(loc='best')\n", "plt.title(\"Adj Closing Prices adjusted for S&P movements\")" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 21, "text": [ "" ] }, { "output_type": "display_data", "png": 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rV8cfo7R4iNa1XlfrSUlJlmqP1rVeup6UlGSp9mhd6yezSnu0fuGs63+Pta51rTek9V69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SVLlnTN4iKEEMK6ZM8thBAiUy1fvhxff/01ihYtCicnJzg5OcHZ2Rn9+vXD6tWrkS1bNmzatAlL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\nuyw/E9bRe0fpNtktsQbVoUM6+8+l/yxl9XnVGauJ5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i2VHo5OjianQCcl0chnoQ/djtWy\nSDxxomiDFqKSo8gp0ImmnJhCLrNdaNbpWTpXP5pwbAKNOjRK637/xv5rXmHWhKzdO9NwoWLKlCk0\ndepU+b+yP0tHb6EimzfFjts7yCPYQ71DbWSkQqja6cenqdx85dKfm29spoYrG8p/sIN2D6KwTeMN\ny499/VqE28tKq0mlohzbnj0UkxJDrnNc6czjM1R8dnHlC7dUKiZIt27RyssrqcnvTRQuJlKJhNK8\nSlHgkj7GFSmIiOrXl4ewPl4SSHdK5KP4lyZy5lbDkgtLaMCuAYoPvn4twi/DVJSwXLJEoxcFNW8u\nyqYSCVX6iy+IqlenE/o4aqelETk4kPTlS5p1ehYVm1WMem7uSRv/2SjPd5ZKpdRvez/qv6O/+N6G\nD5evHv7151y67l1U55tDUmoSdf2zKzX5vYko1ZqTNWuIevbUfqKNG4natDFqZRY5w4aJVSc1hF0N\no95behORSPtwD3IXUQmPH4tQV01tmjVL3Bh15HnScwo5H0L1ltcj9yB3GnFgBP315C/5533uv3NU\nMrgkLfxrYdZBT5+K31vOcrZ794pcUCPxNPEpjTwwkpwDnWnYvmEqw1pjUmIo7GoYtZjSgpwCnajO\nsjo06cQkingaobjqkZAgQhRNUcZt2jSlkHEFpFLhSJ+t2pCcgAClcslEJFZgSpQgun6d9kXuI/cg\nd90GrBqQSqXkEexB9+LuERHRvh416cS3Grxa+vZVff1QfXIRoVW+vPgsVL1XLTRa1YhOPTql/ESd\nOgqVcVSx584eah3WWr6dmJpIh+4doonHJ1LLNS3pf+0L0qamLhSwL4A2XN+gPZVDX+7fFyLkuxVl\nfcLzv97xNQ3bl8N93NOTpA8f0id/fEITj+tQ0SkPkEql9Hrlb5TweUc6ePcgrby8UlloCg9XX2L6\n2jVRBUvLyqcpGLBrAGEK6GrUOwGldGm1fSw5Ldl4ZUBJ+Pg4BzrT86TndD/+Pt0tkZ8ObpuT6/MY\nNfXD01NlBOGD5jVo0ah3nklSKWWU9qR6Y5yUIiGikqOo+m/V6YeDP5BEKqG/nvxF3+39jorPLk4t\n1rSg1VdW535FPiSEbvZsQRUXVpSnA75Of00brm+g6SNq0YkK+ajMvDL0IF6/CCYiEbVw7r9z9Gv4\nr9T096ZkN8OOWqxpQTNOzaCIpxG6CVM5oirEiTOEb80L5bFmpiSTfEN9VVbOSHibQAH7AqhkcEmV\nZW7Vkp5O5ORE6U8eU5u1beQLe4ZwLfoauc5x1TkVSYbKfrl7txhPqUAilVDJ4JJ09/lNUQVHm7gd\nEyPSInx8iKpXF4tor3LnbyWVSsk31FepApBaxo4l6Wjt/hxEJL777dtFnyhZUqSZ5Nb/4MEDEUmo\ngi4buyikeUilUio8vbCyuJ2dO3fEAp2O7QjYF0Cf/PEJ3Y+/n6tm3469TR7BHhp/N8lpyVRlcRVa\nfsl0pdiNem3MJX8/u2y4UBEUFETBwcEUHBxM06ZNowYNGtA33yiH0lgaegsV7dop5EevvLySvOd7\nZ5WQzI5UKn4c71IG2q1rp7IzyS60Mk8Ev0V+dC9svvp8Z125fVsM8q5dE4PeWrXkk7LZZ2ZT4emF\n1efwDhxItHAhZUoyqfpv1WnpxaW0+spq+mrbV9Tmx+L00DU/Ddr1rXFFCiKhmm/fLkKT3dxoWkg3\nnQyHjIn/Tn9hmJqTa9fE53nvnuLjLVtqLEVLW7cSNWkickwrVRKf7Zs3+v/4P/2UaNs2IhITy5WX\nV1KH9R3IYaYDdVjfgYbvH04fLf4o60L75ZdyXwpJdBQlFLXVSXm9H3+fPlr8EQ3aPUh9uHbfvrrV\nWU9JEROksWONK1bExQl1/bn6KIG7cXepzDxxkzr24BjVXlY768myZTWn9DRooDW0Tx2RLyNpavhU\n8g31pfILytN3e78j1zmuWd4r2bl1S0wy9u/PeqxDBzFoMzLRydE05vAYcpktUoiOPzhO005OowYr\nGsjTWMYsG6M98qJrV+O37/FjMQDQNjHv2VP1pL9yZaU0HTkhIaKEGBH9/vfv5D3f2yBT1Nuxt8kr\nxEs++H3Rpyv90qu4+jDWceN0Ky985474jfv5qY8q0YFy88upThNq2lRrHvqrt6/IfqY9fb//e6q1\ntBbZzbCj5qub04RjE+jA3QOUUacW0dGjerctV3TsKBfc9blmxr+Jp1JzS9GxB++iWZKSiIoUoYXn\n5lP9FfV1Xt3KE/76S70hK5GIrtEUYdKnj1pjN1MS8TQiyzTut9+0llk1NkP3DqWAfQFUYUEFutO+\nrhDQ1SGRqMyhN9pgPDVVpLBmKk8u4n8eSQtbFhXXiPv36aVzYZqkRiiLfxNPjVY1ohJBJajiwoo0\n7eQ0w1biT54k+vhjGn1oNDX9vak8sqX9uvb0sP3HlLpIeCCVm19OZ28GqVRK/8b+S4siFlGXjV2o\n2KxiVP236jTq0Cg6cPeA5smeOlREVdDZs2KhTQ0rL6+kduvaKbRrw/UNcv8TvYSxXr2IVq6k+Dfx\n5Bvqa9BEMDo5msqGlFX0H9ERlf1y1CjhEaSGAbsGiCjSWrXUl1c+d04smhUrRtS/v/AS03Nsdvn5\nZSq/oLzuQlBkpFgk0pSqFhMj0k/KlCFq1EikROgbYZ6RISLUVYg2u//dTY1WNZJvv0h5QcVnF1d/\nLqlUmMebqOJlTuour6s2OkwqlVLvLb1pwK4BBpeI14Q5hYoMSYbxUz9SU1OpWbNmejcqr9BLqDh7\nVmWlj1mnZ1HVJVVVXwy/+YZo0SL668lf5BXipXbCt+rvVdRuXTuKSYkhx1mOJAkOEt4FhrJunZgc\n16oln9wSEb3NeEv+O/3VX8A3bpSHbh57cIw853pSry29aNmlZRQ/ZjjRTz8Z3jZVDBkiTDObNiWa\nPZuikqOo+Ozi8lXLvKDK4ioqKzAQkQitrV8/K5XjxQtxodekWmdkiBUmFxfNAyhdCQ5WmQ6TmJpI\nG//ZSIN2D1IMW2vXLsvFWyqlVLtC9P06DREgJL5z9yB3WhSxSP0FMD5e3Gzu66gSv3wponyMGXE1\nY4bWPEypVCq8OhKf0JA9QxTzvf39iSZMUH3g8+ciBFLfm2O217/8/DJNPD5Rc77h2bNCCIuIECsA\nxYtrrM5gKC9fv6T/Hf8f1Vpai0YeGElH7h/R6nuiwKZNmqu96EOvXiJVSRuhoULwy44sBUvFBIGI\nxKDIx0ee1zvt5DSqubSmYuWFXLDkwhK5MSARkbRrVxo1xFt9yPmiRZrT2JKTiX7+WXzvQUF69buk\n1CTac2cPjTwwkorOKKp6ovDJJyqrC+Vk+snpFHQ2iM4/Oa9433rwQPRTTebCxuTQIbHSZ8BAbF/k\nPvKe7y1WoS9dojcfVSLXOa46+73kGbKQbnXvtU0bzX5Nd++K/mPCKjcaSUsTY6TzuVs1NpTr0dcJ\nU0CTT0wWFbQ0jZ3WrFFbkc0o3LkjJtqq2LWLTvkVpb+f/01/Tx9Ou+s4aPRKeJP+hq5FXzPOJCQx\nkcjOjjLT02jc0XEUdDZILLC9eaMQrTD33FyquLCiWhFXKpXSnjt7aMCuAVRmXhkqNbcU+e/0p/XX\n16uOutSHnFEVkydrHHOmZaZR6Xml6dKzSxT5MpLarBX+Egal+IWFydMb77y8QyWCSmQZrOeCtxlv\nqeHKhrpXkdCF2rWFH4satt3aRm3XthX3SFXeXadPi7HbggViHGcgPx3+iSYcUzOOUkfbtuK63q+f\nGMdt2yZSO/76S6TMOzmJKj5GKM5ARMK3T0XKY4Ykg0oGl5SPmS8+u0i1lmqokLN5s0ipSc8bgXv+\n+fnUb3s/lc/NOzeP6iyro9lv5T3A6EJFXFwcVTBBSS9jo5dQkSOaQoZUKqUfD/5IjVc1Vi6H9scf\nRN260WfrP8sySFJBWmYalZlXhiYcm0Dt17UXE/ZFi3LfRlUMGCAmiLkpIyebgKsajFatatyyR9mZ\nMkWky7RoIZ9wzDw1kzpu6Ei3Y2/rlaOviZS0FLobd5dOPz5Nm29spvnn51PRGUXVr7JJpWK1Uza5\nXbZMqNLaCA8XbsTG4MoVcdHVlTp1FEzh0mvVoNYB9ipzRKVSKYVGhJJ7kDsdf3Bc6Xk5mZni9zBS\nh5zE7ERHi7arCs/PLampwrDt2jWtu3be2Jk2XN9AbnPcFMPvnj4V51C1cq3rd2tMdu0S4Y1ffikc\nrC2Z16/FNUKDw3euOHFCTHJ0EWeuXROGgtnJJq6q5dAhYUj5+jVJpVIasmcItVnbRneDx2z02NyD\nwq5mi+po0oS2L/uBem5Wkwq1c6cov5kTqVS0vXRpEaGkITooJ+mZ6XT68WmafGIyNV7VmOxm2FHL\nNS1pxqkZIgxfFZ9/nntvnOwEBak0JjMZEom4ZpxSkcaSCwbsGkBD9gyh9LDVdKBOMVr19yojNdDI\nlCwpvH9ykp4uRAxtE4shQwzy9VDi7Vux+hoSIq6HFSqIyYWqtK8VK8R9wQxcenZJTOiPHhULHepo\n3ZoI0NukVSsHD4rXUMV//1FSsSI0/ugvtLVuUbo9Q3v+uVHx8VGerG3bppRqMf3kdKqyuIqCMZ9M\noKi9rDbVXFqTFv61kG7H3jbNSm7OqIpGjbRGNs47N48qhVai4rOL09xzcw33lYiJEemN71b9D987\nTO5B7rlKjZFKpdRnWx/qtaVX7g0j1SETMzUI2UmpSWQ/057eLgwR4//svHgh7jUqjDj1QSKVUOl5\npenGi1yOb1+/FoLm6tUi0rZzZ3Gdr1hR3GOMLbZ26KC2iuLYI2Np7JGxRCREHnmJ5ZwkJYn5yWnl\nSiGmQlZyNiUthaRSKd2KuUVBZ4OoxZoWVDK4pPrKjO8RBgsVVatWlf9VqVKFXF1daeHChdoOMzu5\nFirOnhVh4mouDhKphPpu70vt1rWjNVfW0LZb2+jwvcN06dIeSnO0ozJBnlpVrwV/LSDbqbbCxKxl\nS4PCfhXIyNBPNa1eXXllJDJSDKRyI3rkhqVLhZL6X1bo4Zv0N9R9U3fyWehDhaYVohJBJaje8nrU\nc3NP+unwTxQaEUp77uyh69HXKTE1kSRSCcW+jqXr0dfp0L1DFHY1jAJPB9LIAyOp95be1Gx1M6q4\nsCI5zHSgwtMLU7n55ajhyobUfVN3GrZvmPbwvOho8RmEh4sVrq1b9XqreodTSSRiRfM/HUtneXsr\nRj307k2LRnys6JNAQiz7dve3VHVJVe034zFjxGBMn1XVJ0+EWaKaKh06s2aNziv6gacDqdqSalRv\nuQrPh+PHRdpFzs+zQwcxgcxrli8nsrHRv0KEEdC5b371leEl0IhEP6pWTfcJtEQiUn6yl/4dPFhM\nprTRq5fc0yRDkkGdN3amvtv75mrALZFKqPjs4ooh0n5+lHQlgorNKqbaefviRRHZlp1//xXX+ho1\ndBr8SKVS+ufFPxRyPoQ+W/8ZOc5ypNrLatPYI2Pp8L3DykK5Kvr1Myyyy4B0KL1ZuJCoZ0+DQlBf\nvX1FXiFetLZLOdr0uZ9JQ2UNokULYWqXk7/+0hj+LufpUxG990xFOqo2JBLRJ9euFd4/desSFS0q\nVnC/+05MKq5dE14wXl5CXJSRni6u6xpWevOEuDgiBwfVY5SnT7OM+HKYOxstvPm331SWjSQiIqmU\n0pwdqdQoUKybXd5f43v1ElG22fniC5VG1+OPjaeaS2tS3Js4OnD3ANVbXo+qLqlK225tM96kWxOy\nqIpXr4SBrBavhZS0FBp7ZKxxS4o2aKDwWwyNCKWPFn+kcxTetJPTqN7yegYtsCn1Sw3+FNlpHdaa\nTmyaI6ozycjMFOM2DZ5eueXUo1NUbUkuTDvNxYgRatM1bsfeppLBJSk9M51CzofQ9/u/V32OUaP0\nr6RiAJ/+8Sl9+senVH5BeSo9rzQN3TuU9tzZo9v93giYM/WDSPt8PT+0sHfvXojzAPnz54e7uzsK\nFCig7TDrY8oUYMIEoGBBlU/b2tji986/Y9qpaTj28BiS05ORnJaM5PRk/GGXiWWeQ1E4f2GNL/Ft\n7W8x8/RMtPRuCdxdBvj6Gqft+fMDzs65P65NG+DoUeDjj7Me27ED6NoVsLU1Ttty0rs30LAhUKaM\n/KEiBYpgW69tAAApSfEi5QUevXqEx4mP8fjVY9yKvYX9d/fLt9MkaXAs5IiS9iXhYe8BDwcPlLQv\nCa9iXqhfqr7CY8UKFYONjU3u2ujuDqxaBfTtCyQlAbt2GfMT0I6tLdCqFXDsGODvr33/ly+B4sWz\ntitWxGdJhfHZ5aUYXn84bGxs8CLlBT7f/Dnc7NxwbsA5OBRyUH++DRuArVuBixdF38otpUuLtjdv\nDhQpAnzzTe7PQQTMnQsEBem0e8MyDTHu2DgEtVWxf8uWwI8/Aj16AKdOAYUKASkpwOnT4r3mNYMG\nAZ98ovAbsFj69AGmTweGDzfsPEuXAm5uwOef67a/rS3QpIn4jnr2FI+dOAEEBGg/NiQEqFED6NsX\n+StXxsbPN6L12tb45dgvCGwTqNPL34i5AecizihTLNt39PIlHEqVQ1e/rgi7FoafGv2keFDp0sDT\np+L/qanAzJnAkiXAxInAsGFqf0tPEp/g2MNjOPrgKI4+OAq7gnZoU74N+tfojzVd18C1qKtObZZj\nZwe8fp27Y2T89x9w9674zeQl/fsDkydnfdd6UKxwMazstBKZaz9Hk++Dc3/dzysqVQLu3BH33+yc\nOgU0a6b9+FKlgAEDgGnTgN9+07zvy5dARETW38WLgKMj0KCB+PvyS6B2bXGdzs7ixcBnn4nff9++\n4rU2bADKlQMaN87d+zU2Li5ivHP/PlCxouJzGzcC3bsDrVsDmzYBQ4ca//UfPhSfgypsbJCvdl2M\nj30O53wJyu0zNbVrA3//Lb4zAHj7FjhwAFiwQGnX6S2n423GW5RbUA6lHEphSosp6FGlB2xtTDT2\ny0nfvuLeMm2aGIPm7IM5sCtoh9ltZhu3DZ99BuzbJ/8tDqs3DDdibuCr7V9hZ++dyGebT+2hW25u\nwfLLyxHxbQSKFNDc9lwRHg60aKF1t46+HbH56TW0uHNH3G8KFwamTgWkUmDqVEikEo3t15UNNzbg\ny6pfGnwek+PjA9y+rfIpP1c/lHcujwP3DuC/xP/gVcxLead//gHWrQNu3jRxQ5WZ1HwSTjw8gVmt\nZ6G6e3XLvXeZC21KR18VdeNVPWZp6PDWsjhzRmM0hVZ++UX4Gvzzj9Zdk1KThPFg4cKmi1rQlf37\nxepOdj7+OO9X03KBVCrNO3O0UaNEqLY5WL5crGZrIy2NqEABxZznsDCSfvkl+S3yo1OPTtHl55fJ\nK8SLJp2YpH2l5NKlLINWQ7lzR1Ri0FIqUSVHjhB99JHOeeuv01+T/Ux79WZkUqkwh5RV+Ni61fj+\nC+8j6elq3dh1JjZW5MvqcH1UIChIVLQhEiulupTJlbFggbi2ves/sa9jyTfUVynKSB0h50No8J7B\nWQ9kZhLly0eUkUFnHp8h31BfhRX7lLQUWvLXIkrPZ0NzJ7Si5LIelNm9m0rX8IS3CbT91nYK2BdA\nlUKFl0KvLb1o+aXluXYNV8no0fqnXoWECN8lczB8uHo/mVwgrV7deHnPpiAkJKtfZ6djR90jjl6+\nFL+H7MbPb9+KCMn580VqWfnyIrRdtsK6a1fu07hiYsR1s0YNEbmnxaQ1z+jaNavSVnZq1BBtjI0V\n791A/yGV9OwpjP/UMWaMSJ/J67RCIhGl27x51vb27SrLNsqQ+SsZpdSwPvz+u0jTCQzUvq8puHxZ\nKcUwPTOdWqxpQUP3DlVrFnrx2UVyneOqXM7dGNSurVP0XeTLSPII9hDXuwsXxHi+VCmiqCi68eIG\nOQU6UfXfqtOMUzP09upJz0wn1zmuBlWKyTMOHNA4plv19yrqsrGL6rLeEokoObxUhck+Y3K0zde1\nzuZrZg8rIqKMjAyqXLmyYa3KA3IlVLRtKyaG+iKRiNA6V1chWmgrF3T1qpiEmZvkZBFyl/LuYvzs\nmQibNMXN3VpRZ9xnau7fF+kn2ibqz5+LtIbsnDtHVK8ezT8/n2ourUmuc1xp600d0ldevBDhvnqm\nuqhkyBCiefNyf9wnnxCtyl2O+au3WkpuvXolBiXr1onweGN5xLzvdOpkWIrM4MH6GQdHRIj0NCLx\nnWkqaZqTjAyRhpEtDPphwkPynOup02+h88bOtPGfbO85NlaE25MY3FdZXIXCH4bTk8Qn9PORn8l1\njit1/bMrvS7tTokeLvTzD1XJKdCJ+mzrQ9tvbafjD47T+GPjqf6K+mQ/057ar2tPQWeD6ErUFeOH\nWU+cKLyA9KFxY52MOE3C7dtC2NTkFK8NiUSU7EtONl67jM2BA8qh3ZmZIiUyN0LCr78KEWL4cFHm\nuGhR0eeHDhUpHLduGWcxRColWrlS2dzWnEydKoxps3P9uqggIHvP9euLtD9jU7euZjPRDRvE5Nsc\nkx6ZQCP7DL78UpRXt1TS08XimD6LGcZAKhUeVpGRCg/HvYmjXlt6kedcT1p+abmCH8aTxCdUam4p\n2nFbQyU4fUlIEGNyHa+BFRdWpNgvOgsh0t2d6ORJin0dS+Xml6M1V9bQyUcnKWBfAJUIKkG1l9Wm\n2Wdm58rzYH/kfvp45cd6vpk85u5dIaaqISk1iZwCnajc/HLKJWRXrxbXUHON9z9w9BYqZsyYQfb2\n9pQvXz6yt7eX/zk7O9PPOW8QFojOQsWZM6JzG2Ny/vy5yBEsX16z/8TmzXK3YbPTtKkwhyISngK6\nrOIzOmFw3le5ctoNOv/5h6hKFcXHYmKInJwo/nUctVvXTr3pXnbS0kRf+N//9G+vKjZvlpeM1Jkb\nN8RN960JnI6vXxeCYrFiunuAvIfkqm8uWKA+J1sbly+L71KVMZ82ZOaCcXFikpRbr4yICCH2ZfPv\n+fv53+Q2x41OPVJv3JghyaBis4opOtzfvi2qK70j5HwIlZlXhpwDnWnEgRFZVYuuXpWbhUYlR9Fv\nF3+j1mGtqcGKBjTh2AQ68fBE7iqv6ENgoH5mi7L8fjMK1Sfq1BGT4uhoIdZeuyaE18OHxerwunVi\nUSA4WIgxP/0kvBX69RNCVqtWYrJqyTx8KMzusnPlikL/0omkJCECBgeLFVgTVhCyOPbsUTb1HDtW\nlAiWMWmSeOwdRsvDdnXVLCjdvi2Ein//Nc7r5ZYyZUSkjazah7HMkN9Xhg0Tgo6KSeqFpxeoxZoW\n5LfIj3bc3kHJaclUa2ktmn1mttFeXqFf7t6t3qhVBT8c/IH2j/xM9Lc5cygtM42arW5G446OU9gv\nQ5JBR+8fpcF7BpPrHFeqv6I+zT03V6vfR7/t/WjBXwty83bMR3q6KBusQeT5Zuc3hCkQ1XBk3Lwp\nIj7/NkF0jJVg6R4VWmfz1iBKqEJnoaJNG3kNd6Oxb58QP4YOVf389OnKqwHmYurUrEFtmzYKJU4Z\nwzD4x//ttyKMVxPh4coO6FKpGKDExur+Wt99J1bOjZ2OJFvhyU2pp4EDxWqhqVi/nqh9e9Od3wrI\nVd+8eVOkxuXWnFAqFW7uhlxf27QRg7fy5XOfOkIkrsE5SoYevneYSgSVoJsxqlfxLjy9QFUW5xD/\nTp0S0QbvSEpNohWXV2iP4jEHoaFZKU65YeFCUTbOjJwIDqEe/PgAACAASURBVBbXCzc3cQ+tWlWs\nuLZuTdSlC1GfPmJyPmqUiByZPVtERq1ZIyLBDhww3wRRV1RFfSxYkLeVVqydp0+FYCC7JkkkQvzJ\nvjJ/7lxWRBYZaTCenCy+O03XwsxMcf8yl5lrly5igWDHDuXUXkaZ169FesyAASrHP1KplPZF7qOq\nS6qS6xxX+mbnN0Y16lXol6NGEU2bpvOxR+4foe4zahCNHk1SiYQG7hpIXTZ20Rill56ZTofuHaIB\nuwaQy2wXarSqES34a4Hi5J2Eyb1ToBNFJUepOZMFUqGCxuv/6cenqcCvBbJSnRISRJRtWJjaYz4E\nrF6okEgktHbtWpo6dSoRET1+/JgiIiKM0zoTopNQcfq08aIpcpKSImp579yp/Fz//mLVyBI4e1aE\ni8bHiwFiiuqcPMYM/PmnyFvWxLZtIl83J9rCU7OzbJnoq4m6OV3nmpo1dS93Gx0tQqBzI7IwpkUW\nHps9H14X1q0TpXMNCaf89VcRpebmpt/APz5eRFXkuGetvbqWvEK86GmisofE7DOzafj+HB4C27eL\nCYA1sGqVfs7lzZoJUYgxPTl9ND7/XJQ6Z3RDKhXXBFmZ1+PHlSvuZGSICCF9qqOo4/p1IktPfZ46\nVUSW9OljeOWtD4WUFLHgM2SI2vtMpiSTDtw9YNqIOB39KWSkZaaR4yxHikmJoXnn5lGN32pQcpru\naW9pmWm0L3Iffb3ja3IKdKJmq5vR4guLKTo5mrbc3EKtw3SP7rAI2rfXWJZVKpVSxNN3Y4HMTJFi\nPHJkHjWOUYe2+bpWe9+AgACcP38eG96549vb2yNAF+d1a2DqVI2VPgzCzk44vo8YISoMZCcy0ngV\nPwylXj3hnr1mjXB6t7Mzd4sYGQ0aAFeuaN4nZ8UPGRUrCvd+bZw9C/zvf6KyiaOjfu3URuvWogqI\nLixZIirDuOay0gFjOmxscvcdAkByMvDzz0BoKJDPAOfxZs2ALVuEC7o+TtjOzsCcOcL9PzNT/nC/\nGv0QUDcAn67/FK9SXykccvzhcbTybqV4npcvradP6lP1IzoauHYNaNvWNG1iFPHzA/79V/yfSPeK\nH4zAxiarwgUg3PpllS5k5M8v+vOhQ8Z7XU0VPyyF2rWBc+dENYvu3c3dGuvAzk58XteuASNHit9k\nDvLZ5sMnPp+gUP5CpmnDq1eiGlC9ejofUjBfQbQu1xqjDo9C0Lkg7P5yN+wL2ufq+A4VOyCsaxii\nRkdhdMPROPvkLCotqoShe4daR7WP7Pj4APfuqX3axsYG9UvVFxsTJgDp6UBwcB41jtEXrUJFREQE\nlixZgiLvSge5uLggIyPD5A0zOWfOiA7dv7/pXqNlSzH4+PVXxcctSagoUEC0cepUoFs3c7fmvSI8\nPNywE5QqBcTEAJp+b3FxqidQPj7ahYqnT0U5wLVrTdsfW7UCjh/Xvt/bt6KM5Y8/mq4tDAA9+qas\nlLGuzJghjmnYMHevk5P69cU1ypBymX37AsWKCREsG2Mbj0Vz7+botqkb0jLTAADpknSce3IOzb2b\nK57j5UtRXtUa0Eeo2LFDlOorrLnEtqkx+JppLWQXKu7cEd+ZNZQrtiRq1RJC/tu3ov9+qWJS9ckn\nwMGDAIzUt6xBqKhVSwhfNWsCJUuauzXWg4ODKOV6/jwwZoxKscIUyPvl6dOiTGuh3AkhHX07YvPN\nzdjWa5vqsps6Ujh/YXSu1Bnru69H1OgorOu2Dl9V/0rv85kFLUKFnE2bgM2bxb9qyoZ/SFj6fVer\nUFGwYEFIJBL5dmxsLGxt86jOsimZOlWsJBcoYNrXCQ4W0Qo3bojtuDgx8SxRwrSvmxvatBFRH506\nmbslTHYKFADc3YHnz9XvExenX0TF27dCmBo5UgzmTEmzZsClS8CbN5r3W7tWRJFUqmTa9jC5p3Vr\nITZJpdr3jYwEVq4EAgMNf90iRYAffgA6dtT/HDY2QqT49VeF35KNjQ3mt5+P4kWKo//O/pCSFBef\nXYSPiw9cirgoniM21noiKooW1f5by8nWrUCPHqZpD6NMdqGCoyn0QxZRsWePEDQ9PJT3ad8eOHJE\nIZrKIKxBqPD0FOPLnj3N3RLrw8lJROAcOyZW3PNIrAAAhIeLyMFc8lW1r3Dh2wtoWMbARYFsFClQ\nBJ9W/BSF85tXuM41uggVV68C338vxE1ruad/4GhVHL7//nt069YNMTExGD9+PBo3boxffvklL9pm\nOmTRFF9/bfrXcncXA+TvvhOD/Lt3xeq1PmHMpqJLF2D0aMDFRfu+jM600OOmo4SXF/Dff+qf1yRU\nqLtgEwFDhoiL+tixhrdRG/b2QI0aIs1EHVIpEBICjBpl+vYwue+bpUuLm/q1a9r3/fFHYNw41RMH\nfZg92/DV5sqVRZ/P0b/y2ebDH93/wPPk5xhzZAyOPzyOluVURG+8z6kfMTFCSDS1YKkDRrlmWgOV\nKrFQYSiyiIo//lBO+5Dh6SmuHRcvGqdvWYNQYWMDLFgAfGVlq+GWgouLELf27s0TsULeL/UUKgrl\nL4QaJWsYs0nWizahIjVVLNAtWiTGpAwAy7/vao156du3L+rUqYNj7/KTd+3ahbJly5q8YSZlypS8\niaaQMXgwsHq1iKwoUEBMIi0Jb28xGWAsD0OEirt3xU02pyg2f76I8DlzJu8EM5nHgboc+P37xQSr\neXPVzzPmR5b+UauW+n327RMDhR078q5dujJhAlC1qhiEZuuHhfMXxq4vdqHJ6iZ4lvQM67uvVz72\nfU792LlTiBTv0juZPMDXV/xOJBLg5Elg8mRzt8j6KF8eSEwUn987DzWVyNI/DE1DA6xDqACAL74w\ndwusG1dXEUHYurUYQ82cadqxkh7+FIwKypUDnjwRUeuq5nfh4WLRpVevPG8aoz8aIypiY2Nx8eJF\nuLu7Y/jw4fD398eOHTtQyZpDs0+fBh48yJtoChm2tiL3/pdfRP6bpfhTMCbFKHlf+goVLi7ixvry\npeLjR44Ic8EdO0SIeF4hSx1Qx9y5IqrHkiKN3mP06pvafCrS0kSaxoIFpjEoNpSiRYW5Z0CAWFnJ\nhnMRZxz46gDql6qPpmWbKh9rbREVuUn92LrVYsLELT1X1mjY24v+dPKkSEvw8TF3i6wPW1vhw9Cp\nk/g81fFOqDC4bxEBjx6JhR3m/cfVVSyuHDggxu4miqwIDw8Xi0Z6+FMwOShUSERyqhszHzwIfPpp\n3rbJCrD0+65aoWLJkiWoWrUqRowYgcqVKyM0NBQ1atRATEwMLly4kJdtNC555U2Rk1q1hMq9dCkL\nFYzuaBMq1FX9sLFR9qm4f1+EyP75J5DXUVENGohQ51evlJ/7+2+xumghkyVGDS1aCDf5tDTVz4eE\nAFWqWEQKgVo++wyoVk1lBJlXMS8c7ncYjoVUVL+xNo8KXSMq4uKAiAgevJkDPz9g+XKR9sECrX6M\nHAn89JPmfRo3Vn/vyQ3x8UIccXY27DyM9SATKw4dEumMpkoD0TPtg1GBJiP5Awcse3zCqERt6sei\nRYtw+/ZtuLi44PHjx/D19cW5c+dQp06dvGyfcUlMFMp7v37mef1p04TxE+dGfRAYzaNi/371z6uL\nqACyfCoaNRJmqV27ApMmmSe9olAhEXobHi7akZ1580QZ37wWDz9g9OqbTk5CiDh/XnlQ9eyZMA6O\niDBG80zLggVCOP7qK91Xsq0tokJXoWLXLpEGYyFlqS09V9ao+PmJhYuQEHO3xHrRpfxmwYJAy5Zo\nkVuD2ZxYS9oHY1yKFxeRhG3biuinYcNExGqxYkYRGFu0aCHEtvnzDW8ro96n4sEDMQesWTPv22Th\nWPp9V61QUahQIbi8M1csW7Ys/Pz8rFukAMSFZedO872+o6NQ+vLlM18bGOtCU0SFVCpWidSZoMoi\nKqRSker08cci7N1cyHwqsgsVT58KIWbRIvO1i9EdWfpHzhvb2LHCrLJCBbM0K1eUKSNWx4YNE6Gg\n2gabqami3rqDQ960z1CKFhVVfVT50+Rk69a8TYNksqhUSeRSs5Gm6ZH5VPTpo/85WKj4cJGJFf36\niXFMXJxIr3N2Fs+5uOj+r7294nWZ/SmMizqh4uBBUQXofaha+YGhVqh4+vQpRowYAXoX6hQVFSXf\ntrGxwcKFC/Oske8VLFJ8MISHhxuuVGoSKl69EpMndXWgfXyEc/X06UB0NLBxo3lDjFu3Vo5mCg0V\nEyUnJ/O06QNF777ZurUwpZw+PeuxM2dE5YLly43WPpMzciQQFgZs2aLdWCsuTkRTWEt4vq2tiGB6\n+1azD01CgvjuNm3Ku7ZpwSjXTGvBz09MXD76yNwtef9p3x7hv/yCFs+fi9Kd6u6ZmmCh4sPGxUWY\nRcvIyBDpQPHx4h6R89+nT7O2sz+Xnq4gXIQnJqJF/frsT2EsfHyAEyeUHzdUqHyPsfT7rtqrdVBQ\nEGyyDczq1KkDGxsbuVDBMEwe4OQkIiISE0VEUHY0pX0AIqLi0CFRFvTCBfPfCGvWFIJJVJQwPEpO\nBlatAi5eNG+7GN1p1EhUjJH1R4lE1CQPCrKY9AGdKFBAhN337i1WWx1V+FLIsCZ/Chmy9A9NQsXu\n3UCrVtYTKfK+0aSJiGjhFT7TU66cuP/Urp0lPHp4KP55eipulyypaAr88CGLSkwWBQoA7u7iLzek\npgqRWCZcnDwJfP65adr4IaIqoiItTXzOq1ebp02MQagVKvz9/fOwGQzz/mEUhdLGJiuqolo1xee0\nCRW+vuL4bdvEwMvc5MsnUgaOHxf+AL//DrRsyatUZkDvvlm4cJbXSJcuwIoVYpLfu7cxm5c3NG4s\nQkEnThS+FeqwptKkMnSp/LF1q8WVMbTkVR2jU6iQuP4xeUIL2SprZibw4oUQzLP/Xb0qzPZk2zEx\nQoyVCRc3bwIdO5r3TTDWT+HCWX0KQAtO/TIu5cuL6jwSSVYE+5kzwl9L03j5A8bS77t6xL8xDJOn\nqBMq1FX8kOHsLAZb+oS5mgqZT8UXXwjzqI0bzd0iJrfIvsOmTYHJk4HDh60nLSIns2eLVdL+/cVq\nqyqsyUhThi6VP65cYW8Y5sMjf36gVCnxpwmpVERTyYSL2FiuzMAwlk6RImJh4cmTrFLCXO3DquGY\nQ4YxEUarTazOp0JbRAVgWSIFkDXJ3bFDhNp+/LG5W/RBYlDflBlqTpoE9Ohh3VWMXF2BWbOA774T\nKzCqsObUD01oMuI1E5Zez52xXnLdt2xtRVh/zZqifO/XX1tXehtjFfA1zwTkTP84eJBLcGvA0vug\nVqEiLi4uL9rBMIw6NAkV1jaBqlRJhN7+/DMwapS5W8PoQ82aInR6yxbg11/N3RrD8fcX+cYrVqh+\n3hojKrQJFRkZIlfa3j7v2sQwDMMwpqZixSyh4skTMV6x9qqVHzBahYqPP/4YPXv2xP79++UVQBiG\n0Y7R8r4MiaiwNGxsRFQFkWKZUiZPMahv5ssnPClmz7a+/qcKW1vgt99EhMiLF+IxqRQ4fVqU8120\nCKha1bxtzC1Fi2r2qJCZoVpYyo6l58oy1gv3LcYS4X5pAnx8gLt3xf8PHgTateOKixqw9D6oVai4\nc+cOBg0ahLVr18LHxwe//PILIiMj86JtDMMA75dQAYjSkMuW8Y3DmlmyREQivC9UqyZ8KoYOFdE+\n3t5CpChTBrh0SaS4WBPaIipeveKSwAzDMMz7R/bUD/ansHq0ChW2trZo164d/vzzT6xYsQJhYWGo\nV68emjdvjnPnzuVFGxnGKrEIjwpLpE4doG1bc7fig8bScxLNwuTJwNu3QkDbtw/45x/gl1+ssyqN\nlQoV3C8ZU8F9i7FEuF+aAJlQkZEhqsy1b2/uFlk0lt4HtTrtvXz5EuvXr8fatWvh7u6ORYsWoVOn\nTrh27Rp69OiBR48e5UEzGeYDplQp4Tqemalojqmt6gfDMLpjby/CRN8HtKV+WKhQwTAMwzAGUaEC\n8OCBKEvq4wOUKGHuFjEGoFWoaNSoEfr27Ytdu3ahdOnS8sfr1q2LoUOHmrRxDGPNGC3vq2BBUW4p\nKkqEosuw1ogKxuxYek4iYyBWGlHB/ZIxFdy3GEuE+6UJsLMDnJ2BVau42ocOWHof1CpU3LlzBzZq\nDLfGjRtn9AYxDKMCWfoHCxUMw2hDm1AhM9NkGIZhmPcNHx9g82bgxAlzt4QxELVCRadOndQeZGNj\ng927d5ukQQzzvhAeHm78yh+NG4ttIhYqGL0xat9kLA87O5Eapg4LjajgfsmYCu5bjCXC/dJE+PgI\nn6kGDczdEovH0vugWqFi9OjRedkOhmE0kdNQ880bUVaxaFHztYlhGMukaFGrTP1gGIZhGIPx9RVl\nSfNrTRxgLBwbIiJzN8IU2NjY4D19a8yHSGgo8O+/wOLFYvvxY6BJE+DJE/O2i2EYy2P1auDkSWDN\nGtXPf/89ULEiMGJEnjaLYRiGYUxOcjKQlga4upq7JYwWtM3X1UpNPXv2xJYtW1CtWjWVJ71+/bpx\nWsgwjHa8vIDDh7O2Oe2DYRh12Nlx1Q+GYRjmw8TBQfwxVo9aoWLBggUAgD179uRZYxjmfcIkHhUy\nWKhgDMDScxIZA7HS1A/ul4yp4L7FWCLcLxlzY+l9UK1Q4enpCQDw9vbOq7YwDKMOFioYhtEVKy1P\nyjAMwzAMI8NW2w7nz59HvXr1YGdnhwIFCsDW1haOjo4GvWh8fDzatm0LX19ftGvXDq9evVK538GD\nB+Hn54eKFSti9uzZ8senTJmC0qVLo1atWqhVqxYOHjxoUHsYxhQYVaF0cQHS04GkJLEdF8e5d4ze\nWLJ6zhgBXYQKCyxPyv2SMRXctxhLhPslY24svQ9qFSqGDx+ODRs2wNfXF6mpqVi1ahUCAgIMetHA\nwEC0bdsWkZGRaN26NQIDA5X2kUgkGD58OA4ePIhbt25h48aNuH37NgDhkTFq1ChcuXIFV65cwSef\nfGJQexjG4rGxEVEVMvNMjqhgGEYdRYtq9qhITOSICoZhGIZhLBqtQgUAVKxYERKJBPny5cM333xj\ncATD7t270b9/fwBA//79sXPnTqV9Lly4AB8fH3h7e6NAgQL44osvsGvXLvnzXNGDsXTCw8ONe8Ls\n6R8vX7JQweiN0fsmY1lYaeoH90vGVHDfYiwR7peMubH0Pqi1wKydnR3S0tJQo0YNjB07FiVLljRY\nJHjx4gXc3d0BAO7u7njx4oXSPs+ePUOZMmXk26VLl0ZERIR8OzQ0FGvXrkXdunUxd+5cOKkYdPn7\n+8s9NpycnFCzZk15iIvsi+Ft3jbV9tWrV417/gIF0OKdUBF+6xZgbw/xrGW8X962nu2rV69aVHt4\n28jbV68Cr16pvj5kZiI8JQW4fBktWrWyjPbmGChZSnt4+/3ZNvr9mLd5m7d5+z3Yzuvx4Pz583H1\n6lWdPTBtSIvq8OjRI7i7uyM9PR0hISFISkpCQEAAfHx8NJ64bdu2iI6OVnp8xowZ6N+/PxISEuSP\nubi4ID4+XmG/bdu24eDBg1ixYgUA4I8//kBERARCQ0MRExMDNzc3AMDEiRMRFRWFVatWKb4xLXVZ\nGcbqmDYNSE0FZswAPvkEGDEC6NDB3K1iGMbSSEkB3N1VR1XExwMVKgDZ7sEMwzAMwzB5jbb5utaI\nCm9vb8TGxgIQJpa6cuTIEbXPubu7Izo6GiVLlkRUVBRKlCihtE+pUqXwRJaPD+DJkycoXbo0ACjs\n/+2336JTp046t4thrBYvL+DoUfF/9qhgGEYdRYsCb98CUilga6v4nIWmfTAMwzAMw2THVt0TRIQp\nU6bA1dUVvr6+8PX1haurK6ZOnWpwpELnzp0RFhYGAAgLC0PXrl2V9qlbty7u3r2LR48eIT09HZs2\nbULnzp0BAFFRUfL9duzYgWrVqhnUHoYxBbJwJ6OR3aOCq34wBmD0vslYFra2QOHCQqzIiQULFdwv\nGVPBfYuxRLhfMubG0vugWqEiJCQEZ8+excWLF5GQkICEhARcuHABZ8+eRUhIiEEvOm7cOBw5cgS+\nvr44fvw4xo0bBwB4/vw5PvvsMwBA/vz5sWjRIrRv3x5VqlRB7969UblyZQDAzz//jOrVq6NGjRo4\nefKkwe1hGKsgp1DBERUMw6hDXeUPCxYqGIZhGIZhZKj1qKhZsyaOHDki94KQERsbi7Zt28rNNywV\n9qhg3jvS0gBHR1Fa0MEBSE8XZUsZhmFyUrYscPIkkNOwascOICwMUFFti2EYhmEYJq/QNl9XG1GR\nmZmpJFIAgJubGzIzM43TOoZhdKdQIcDFBbh5E3B2ZpGCYRj1qCtRyhEVDMMwDMNYAWqFigIFCqg9\nSNNzDMMITJL35eUFXLnCaR+MQVh6TiJjBOzsrC71g/slYyq4bzGWCPdLxtxYeh9UW/Xj+vXrcHBw\nUPncW1UGXQzDmB4WKhiG0YWiRTmigmEYhmEYq0WtUCGRSPKyHQzz3tGiRQvjn9TLCzh/HlCRlsUw\numKSvslYFppSP8qVy/v26AD3S8ZUcN9iLBHul4y5sfQ+qDb1g2EYC8TLC7h2jUuTMgyjGfaoYBiG\nYRjGimGhgmFMhMk8Kt684dQPxiAsPSeRMQJWWJ6U+yVjKrhvMZYI90vG3Fh6H2ShgmGsCS8v8S8L\nFQzDaIIjKhiGYRiGsWJYqGAYE2EyjwqAhQrGICw9J5ExAuqEisREoFixvG+PDnC/ZEwF9y3GEuF+\nyZgbS++DLFQwjDXh6goULsxCBcMwmrHC1A+GYRiGYRgZLFQwjIkwSd6XjY2IqmChgjEAS89JZIyA\nFaZ+cL9kTAX3LcYS4X7JmBtL74MsVDCMtfH770CDBuZuBcMwlowqoUIqBZKTAUdH87SJYRiGYRhG\nR2yIiMzdCFNgY2OD9/StMQzDMIxmVq8GTp4E1qzJeuzVK6BsWeFTwTAMwzAMY0a0zdc5ooJhGIZh\n3jdURVRYcNoHwzAMwzBMdlioYBgTYel5X8yHC/fNDwArFCq4XzKmgvsWY4lwv2TMjaX3QRYqGIZh\nGOZ9Q1XVj8REixYqGIZhGIZhZLBHBcMwDMO8b1y4AAwbBly8mPXYrl3AqlXA7t3maxfDMAzDMAzY\no4JhGIZhPjysMPWDYRiGYRhGBgsVDGMiLD3vi/lw4b75AWCFQgX3S8ZUcN9iLBHul4y5sfQ+yEIF\nwzAMw7xvqPKosHChgmEYhmEYRsYH51Hh4uKChIQEM7SIYSwPZ2dnxMfHm7sZDMMYm9evATc3RbHi\nxx+BMmWAUaPM1y6GYRiGYRho96jIn4dtsQgSEhLYZJNh3mFjY2PuJjAMYwqKFAFSUwGpFLB9Fzz5\n6hVQrZp528UwDMMwDKMDnPrBMAzzgWHpOYmMEbC1BQoXBt6+zXrMwlM/uF8ypoL7FmOJcL9kzI2l\n90EWKhiGYRjmfSSnoWZiokULFQzDMAzDMDI+OI8KbbkwDPMhwb8HhnmP8fYGTpwAypUT27VrAytW\nAHXqmLVZDMMwDMMw2uYhHFHBMAzDMO8jOSt/WHjqB8MwDMMwjAwWKpg8Jzw8HGXKlDHb669ZswZN\nmzbV69gXL16gWbNmcHR0xE8//YQpU6agX79+erfF29sbx48fBwDMnDkTgwYN0vtc2l7n2LFjJjk3\nY31Yek4iYyRypn5YuFDB/ZIxFdy3GEuE+yVjbiy9D7JQYWGcOXMGjRo1gpOTE4oXL44mTZrg0qVL\n8ucfPnyI5s2bw9HREd7e3li3bp3SOWxtbWFvbw8HBweULl0ao0ePhlQqVfl62fd1c3NDnz59kJiY\naLL3Z+0sX74cJUqUQFJSEoKDg3NVNcPf3x8TJ05UeCz78ePHj8eKFSuM1tacr8MVPhjmAyO7UCGV\nCo+KYsXM2yaGYRiGYRgdYKHCgkhKSkLHjh0xcuRIJCQk4NmzZ5g8eTIKFSok32f8+PEoX748EhIS\nEBERgSpVqqg81/Xr15GcnIxjx45hw4YNGifAsn0fPHiAhIQETJkyxdhvzWLIzMw06PjHjx+jcuXK\n8m32d2CskRYtWpi7CUxekD31IyVFbOe33Krk3C8ZU8F9i7FEuF8y5sbS+yALFRZEZGQkbGxs0Lt3\nb9jY2KBw4cJo27YtqmWre1+wYEGUKlUK+fLlg7u7O+poMUWrVKkSmjZtips3b2p9fQcHB3Tq1Am3\nbt2SP5aYmIiBAwfC09MTpUuXxsSJE+XRGWvWrEGTJk0wZswYuLi4oHz58jh48KD82Pj4eHzzzTco\nVaoUXFxc0K1bN4XXmzdvHtzd3eHp6Yk1a9bIH/f390dAQAA6dOgABwcHNG3aFNHR0Rg5ciScnZ1R\nuXJlXL16Vb5/YGAgfHx84OjoiI8++gg7d+6UP7dmzRo0btwYo0aNgqurK6ZOnaoUWTBmzBg0bdoU\nSUlJGj8ff39/rF27FnPmzIGjoyOOHTumdK6ePXvCw8MDTk5OaN68ufyzXL58OTZs2IA5c+bAwcEB\nXbp0UTp/9jSSR48ewdbWFmvXrkXZsmXh5uaGmTNnyvclIvn7dnV1Re/evZGQkCB/ft26dShbtixc\nXV0VjmMY5gMie0SFhad9MAzDMAzDZIeFCguiUqVKyJcvH/z9/XHw4EGFiaeMunXrIjg4GIcOHdJ4\nLtlK/61bt3D69GnUqlVL674JCQnYuXMnGjZsKH/O398fBQsWxP3793HlyhUcPnwYK1eulD9/4cIF\n+Pn5IS4uDmPHjsXAgQPlz/Xr1w+pqam4desWYmJiMGrUKPlz0dHRSEpKwvPnz7Fq1SoMGzZMIeVk\ny5YtmDFjBl6+fImCBQvi448/Rr169RAfH48ePXoonMvHxwdnzpxBUlISJk+ejL59++LFixcKbaxQ\noQJiYmIwYcIE+fslIgwaNAg3btzAkSNH4OjoqPEzXbNmDb766iv8/PPPSEpKQuvWrZUiKj777DPc\nu3cPsbGxqF27Nr766isAwODBg+XHJicnY9euXUrneCNu5AAAIABJREFUV5WacfbsWURGRuLYsWP4\n9ddfcefOHQDAwoULsXv3bpw6dQpRUVFwdnbGsGHDAIjvPCAgAOvXr8fz588RFxeHp0+fanxvzIeF\npeckMkYiu1BhBaVJuV8ypoL7FmOJcL9kzI2l90EWKnJgY2OcP31wcHDAmTNnYGNjg0GDBqFEiRLo\n0qULYmJiAIhJ67x583DgwAEMHDhQLlbcu3cPbm5uCueqXbs2XFxc0LlzZwwaNAj+/v5qX7d27dpw\ndnaGm5sbnj59isGDBwMQxpEHDhxASEgIihQpAjc3N/zwww/4888/5ceWLVsWAwcOhI2NDb7++mtE\nRUUhJiYGUVFROHjwIJYuXYpixYohf/78CgaWBQoUwKRJk5AvXz58+umnsLe3l0/CbWxs0L17d9Sq\nVQuFChVCt27dYGdnh759+8LGxga9evXClStX5Ofq0aMHSpYsCQDo1asXKlasiIiICPnznp6eGDZs\nGGxtbVG4cGEAQEZGBr744gu8evUKe/bskT+uC5rSPfz9/WFnZ4cCBQpg8uTJuHbtGpKTk3U6VtVz\nstSf6tWro0aNGrh27RoAYOnSpZg+fTo8PT3lr7V161ZIJBJs3boVnTp1QpMmTVCwYEFMmzYNtrb8\nU2eYD46cERXsT8EwDMMwjJVgucmqZsLclgN+fn5YvXo1AODOnTvo27cvfvjhB2zYsAGLFi3C0KFD\n0bJlS2zfvh0dO3bEunXrEB0djVatWimc58qVKyhfvrxOrynbNzMzE0uWLEHTpk1x69YtPH78GBkZ\nGfDw8JDvK5VK4eXlJd+WCQQAULRoUQBASkoKXr58CRcXFxRTMzAuXry4wuS5aNGiSElJkW+XKFFC\n/v/ChQsrbBcpUkRh37Vr1yIkJASPHj2Sv35cXJz8eVUVRu7du4fr168jIiIC+Y2Usy2RSDBhwgRs\n3boVsbGx8vf38uVLODg46HXOnJ+v7H0/fvwY3bp1U/gM8+fPjxcvXiAqKgqlS5dWOK548eJ6vT7z\nfmLpOYmMkcjuUWEFqR/cLxlTwX2LsUS4XzLmxtL7IC+zWjCVKlVC//79cePGDQBiIpyeng4AqF+/\nPv7880/07t0bU6dOxZgxYwx+vfz582PgwIF4+PAhbt68iTJlyqBQoUKIi4tDQkICEhISkJiYiH/+\n+UfrucqUKYP4+HiTVxB5/PgxBg8ejMWLFyM+Ph4JCQmoWrWqQnSCqpSKypUr4/fff8enn36KyMhI\no7Rlw4YN2L17N44dO4bExEQ8fPgQQFakhDGrbnh5ecnTg2R/b968gaenJzw8PPDkyRP5vm/evFEQ\nbhiG+UBgjwqGYRiGYawUFiosiDt37mDevHl49uwZAODJkyfYuHGj3DOiZ8+eWLhwIU6fPg2pVAoP\nDw94e3vjxYsXyJcvn96vK5tISyQSrF69GkWLFkX58uXh4eGBdu3aYdSoUUhOToZUKsX9+/dx6tQp\nref08PDAp59+ioCAALx69QoZGRk6HZe9Pbrw+vVr2NjYwNXVFVKpFKtXr5YLO9r44osvMHPmTLRp\n0wYPHjwAkGVi+d9//+W6bSkpKShUqBBcXFzw+vVrjB8/XuF5d3d3+esYytChQzF+/Hh5O2NjY7F7\n924AIhVm7969OHv2LNLT0zFp0iS15WmZDxNLz0lkjISVCRXcLxlTwX2LsUS4XzLmxtL7IAsVFoSD\ngwMiIiLQoEED2Nvbo2HDhqhevTrmzp0LQAgVgYGBGDx4MBwdHdG9e3d89913mDNnDjp27Cg3TMzt\nyn2NGjXg4OAAFxcXrFu3Djt27IDTuwHt2rVrkZ6ejipVqsDFxQU9e/ZEdHS0/HVyvlb27XXr1qFA\ngQLw8/ODu7s7Fi5cqHK/nOQ8r6bXqVKlCkaPHo2GDRuiZMmSuHHjBpo0aaL1WNljX3/9NSZNmoRW\nrVrhv//+w5MnT+Dt7Y1SpUrlum1ff/01ypYti1KlSqFq1apo2LChwr4DBw7ErVu34OzsjO7du+t0\nbnWMHDkSnTt3Rrt27eDo6IiGDRviwoUL8s9k8eLF6NOnDzw9PeHi4qIy/YVhmPccK0v9YBiGYRiG\nkWFDuVm+tiJsbGxUrn6re5xhAGDGjBkoUaIEBg0aZO6m5An8e2CY95g1a4ATJ4CwMGD0aMDDA/jp\nJ3O3imEYhmEYRus8hM00GSYbEyZMMHcTGIZhjEPO1I/Klc3bHoZhGIZhGB0xS+pHfHw82rZtC19f\nX7Rr1w6vXr1Sud+AAQPg7u6OatWq6XU8wzAMo4yl5yQyRiJ76kdiosWnfnC/ZEwF9y3GEuF+yZgb\nS++DZhEqAgMD0bZtW0RGRqJ169YIDAxUud8333yDgwcP6n08wzAMw/y/vfuOr+n+Hzj+uhmyZCcy\niMSKUZVhJkZDxKodQtQKoihKjdIoQVGrNVpataK+MatUNVJ71IxasWIniJVBCIkk9/dHfjkVokYT\n90bez8cjD849475PHu+be877fEaR9WyLihdMFy2EEEIIoW00MkZFpUqV2LVrF3Z2dty8eRMfHx/O\nnj2b57ZXrlyhVatWuabEfJX9ZYwKIV5OPg9CvMMOH4b+/SEqCmrUgPnzoWZNTUclhBBCCKGdY1Tc\nunULOzs7IHvKxlu3bhXI/j179sTFxQUACwsL3N3d3zxoId5hOU2/fHx8ZFmWZfldWba1hdTU7OX4\neHz+v+uH1sQny7Isy7Isy7Isy0VmedasWRw7dky5P3+ZAmtR4efnp0xj+bRJkybRo0cPkpKSlNes\nrKxITEzM8zh5taiwtLR86f7SokKIl5PPQ9G0c+dO5UtDvMOuXIEPPoCrV8HGBs6cAVtbTUf1QpKX\noqBIbgltJHkpNE3TOaixFhVbtmx54bqcLhv29vbEx8dTokSJ1zr2f91fCCGEeOfljFGhVssYFUII\nIYQoVHQ08aatW7cmLCwMgLCwMNq2bftW9xdCiKJMnuAUETmzfjx8CAYGUKyYpiP6V5KXoqBIbglt\nJHkpNE3bc1AjhYpRo0axZcsWXF1d2b59O6NGjQLgxo0bfPjhh8p2gYGBeHt7ExMTg5OTE0uWLPnX\n/YV20tHR4dKlSwD079+fr7766oXbjhkzBltbWxwdHd9WeG9sypQpBAcHazoMIYTIm5ERPH4MiYla\nPzWpEEIIIcTTNFKosLKyYuvWrcTExPDnn39i8f8XUI6OjmzatEnZbsWKFdy4cYO0tDTi4uIICgr6\n1/3fFStXrqR27doUL14cOzs76tSpw/z583Nts2/fPho1aoSZmRkWFha0bt2aM2fO5NomOTmZ/v37\n4+DggImJCdWqVWPp0qVv9H75Zf78+YwZMybPdbGxsXzzzTecPXuWGzduFMj756fRo0fz008/vdG+\n165dw9/fH1tbWywsLHj//feVVkIAaWlpdO/eHSsrK+zs7BgyZMhzx/Dx8cHIyAhTU1NsbW3x9/fP\nc1wYIZ6VM7iReMfp6GQXK+LjC0WhQvJSFBTJLaGNJC+Fpml7DmqkUCFebObMmQwZMoTPP/+cW7du\ncevWLX744Qf++usv0tPTAdi/fz9NmzalXbt2xMfHc/nyZdzc3Khbty6XL18GID09ncaNGxMXF8eB\nAwe4f/8+06dPZ9SoUXz77bev9X5vS2xsLNbW1lhbW7/2vhkZGQUQ0T8yMzPz9XjdunXD2dmZ2NhY\nEhMT+fnnn5WZbACWLl3K0aNHuXz5MpcvX86ze5NKpeL7778nJSWFmJgYkpOTGTp0aL7GKYQo5ExM\n4Pp1GZ9CCCGEEIWL+h31olPT5lNOTk5Wm5iYqNetW/ev29WrV0/9ySefPPd68+bN1d27d1er1Wr1\nwoUL1SVKlFCnpqbm2mbVqlXq4sWLq1NSUl75/Z61ePFideXKldWmpqbqsmXLqn/88cdc66dNm6Z2\ncHBQlyxZUr1o0SK1SqVSX7x4Ua1Wq9U9evRQjxkz5rljbtmyRW1kZKTW0dFRFy9eXB0UFKRWq9Xq\nDRs2qKtUqaK2sLBQ+/j4qM+cOaPs4+zsrJ46dar6/fffVxsaGqozMzNzHbNfv37q4cOH53qtdevW\n6m+//VatVqvVU6ZMUZcrV05tamqqrlKlivrXX39VtluyZIna29tbPXToULW1tbX6yy+/fC7mcePG\nqbt27apWq9Xqy5cvq1UqlTosLExdunRptY2NjXrSpEkv/B0WL15cffz48ReuX7x4sbpu3bovXK9W\nq9U+Pj7qRYsWKcvfffedumrVqv+6z7O0+fMghMgHzs5q9dy5anXz5pqORAghhBBC8bL7EGlRoUX2\n799PWloabdq0eeE2qamp7N+/n44dOz63LiAgQJltZcuWLbRo0QIjI6Nc27Rv357Hjx+zf//+V3q/\nvNjZ2bFp0ybu37/PkiVLGDp0KEePHgVg8+bNzJw5U+mas3Xr1lz7qlQqVCrVc8ds3LgxERERODo6\nkpKSwuLFi4mJiaFLly7MmTOHu3fv0qJFC1q1apWr9cTKlSuJiIggOTkZHZ3c6dylSxdWrVqlLCcl\nJbFlyxY6d+4MQPny5dm7dy/3799n3LhxdO3alVu3binbHzp0iHLlynH79m2++OKL52LO6zz++usv\nYmJi2LZtGxMmTODs2bN5/g7r1KnDgAEDWLVqFbGxsc+t9/T0ZP/+/YwbNy7P/XOo/39Kn7t37/LL\nL7/g6en5r9sLIYqYnBYVhaDrhxBCCCFEDilUPEM1XpUvP2/i7t272NjY5Lrh9vb2xtLSEmNjY/bu\n3UtiYiJZWVk4ODg8t7+9vT13795VjpXXNnp6etjY2HD37t2Xvt+ePXvyjLNFixaUKVMGgAYNGtCk\nSRNl29WrV9OrVy+qVKmCsbEx48ePf25/9Qvmy3329VWrVtGyZUt8fX3R1dVl+PDhPHr0iH379gHZ\nhYLBgwdTsmRJDAwMnjtevXr1UKlUSmxr167F29sbe3t7ADp06KD8PyAggAoVKnDw4EFlf0dHRz75\n5BN0dHQwNDR8pfMYN24cBgYGVKtWDTc3N44fP57nua5Zs4b69eszceJEypYti4eHB1FRUQAkJibS\nunVrfv/9dyIiInL9DkuVKsWpU6eU9x88eDCWlpa4u7tTsmRJvvnmmzzfT4inaXufRJGPClGhQvJS\nFBTJLaGNJC+Fpml7DuppOgBtox6X903022Btbc3du3fJyspSigc5N+VOTk5kZWVhaWmJjo4O8fHx\nuLq65to/Pj4eW1tbAGxtbfMckDIjI0MpUOT8/0Xv96KCQs7N8/nz58nKyiI1NZVq1aopMdSsWVPZ\ntnTp0m/8+4iPj8+1v0qlwsnJievXryuvOTk5vXB/lUpF586dWbFiBfXr1yc8PJzu3bsr65ctW8a3\n337LlStXAHjw4AEJCQmvdOwXySl8ABgbG/Pw4cM8t7OwsGDKlClMmTKFhIQEhg8fTtu2bbl27Rpr\n1qyhSpUqNG/enFq1atGgQQMAevToQWZmJu+9955yfnPnzqVXr16vHacQoogwNoYbN6BWLU1HIoQQ\nQgjxyqRFhRbx8vLCwMCA9evXv3AbExMTvLy8WL169XPrVq9eja+vL/BPV4rU1NRc2/zyyy8YGBhQ\np06dV3q/Z6WlpeHv78/IkSO5ffs2SUlJtGjRQilqODg45OrKkFe3hlfl6OjI1atXlWW1Wk1cXBwl\nS5ZUXsur+8XTAgMDWbt2LVevXuXQoUP4+/sDcPXqVfr27cv3339PYmIiSUlJVK1aNVdx5mXHftn6\nV2Vtbc2wYcO4ceMGSUlJZGZmKgOZWltbs2XLFpYsWUKzZs0YMWJEvrynKNq0fd5skY9MTLILFYWg\nRYXkpSgokltCG0leCk3T9hyUQoUWsbCwYNy4cQwYMIBffvmFlJQUsrKyOHbsWK4n819//TVhYWHM\nnTuXlJQUkpKSGDNmDAcPHlTGNOjWrRulSpWiY8eOXL16lSdPnhAZGcmnn37K+PHjMTU1feX3e1p6\nejrp6elKl5GIiAj+/PNPZX1AQABLly7lzJkzpKam5tn141UFBASwadMmtm/fzpMnT5g5cyaGhoZ4\ne3u/8jHc3d2xsbGhT58+NGvWDDMzMwAePnyISqXCxsaGrKwslixZQnR09GvF96IWJ6+yzeeff86p\nU6fIyMggJSWF+fPnU6FCBSwtLWnevDmHDx9mwYIFPHnyBH19ferVq8f58+efG3PkVWIQQhRhhajr\nhxBCCCFEDilUaJkRI0bwzTffMG3aNOzt7bG3t6dfv35MmzYNLy8vAOrWrUtkZCTr1q3D0dERFxcX\njh8/zt69eylXrhwAxYoVY+vWrTg5OVG7dm3Mzc0ZPnw4kydPZtiwYa/1fk8zNTVlzpw5BAQEYGVl\nxYoVK3INxtmsWTOGDBlCo0aNcHV1xdfX97VaHjy9raurK8uXL2fQoEHY2tqyadMmNm7ciJ7e6/VY\n6tKlC9u3b6dLly7Ka1WqVGHYsGF4eXlhb29PdHQ09erVyxXHq7SoeHqbvLZ/0TEePXpEu3btsLS0\npFy5csTFxfHbb78BUKZMGSIiIli2bBk2Nja4u7tjb2/P9u3b+fzzz3MVhvKrVYcoWrS9T6LIR8bG\ncP9+oShUSF6KgiK5JbSR5KXQNG3PQZX6HX0kq1Kp8nza/KLXxdvRo0cPKlSowJgxYzQdikA+D0XV\nzp07tb65n8gnn3wC8+bB5s3QtKmmo/lXkpeioEhuCW0keSk0TdM5+LL7EGlRId6ajIwMzp07p8wY\nIoTQDLkwKkJMTLL/LQQtKiQvRUGR3BLaSPJSaJq256AUKsRbY29vj6WlpTKgpRBCiAJmbJz9byEo\nVAghhBBC5JBChXhr7t69S0REBIaGhpoORYgiTdv7JIp8VIhaVEheioIiuSW0keSl0DRtz0EpVAgh\nhBDvqpxChbm5ZuMQQgghhHgNMpimEEWYfB6EeMctXQr9+8OjR5qORAghhBBCIYNpCiGEEEWViUmh\n6PYhhBBCCPE0KVQIIUQRo+19EkU+KkSFCslLUVAkt4Q2krwUmqbtOSiFCiGEEOJdZW4O1taajkII\nIYQQ4rXIGBUiX/Ts2RMnJycmTpzInj17CA4O5uzZs3lu+9dff9GzZ09u3rzJ//73P1q3bv2Wo311\nsbGxvPfee9y/fx+VSqXpcPKdfB6EeMdlZcGdO2Bnp+lIhBBCCCEUMkZFIeXj44OVlRXp6el5rr98\n+TI6OjoMGDDguXU6OjoUL14cU1NTSpUqxbBhw8jKygLAxcWFbdu25Xu8KpVKuZGvX7/+C4sUAGPH\njmXw4MGkpKRodZECoHTp0qSkpLxxkWLy5MmULVsWU1NTnJyc6Ny5c671y5cvx8XFBXNzc+rUqcP1\n69dzrV+6dCm6urqYmppibm6Oh4cHmzZteuPzEUIUMTo6UqQQQgghRKEjhQotdOXKFQ4dOkSJEiX4\n7bff8txm2bJlVK1alVWrVuVZzDhx4gQpKSls27aN8PBwfvrpJyB3QSG/veqT+djYWKpUqfJG75GZ\nmflG+72KjIyMfD1eWFgYy5cvZ9u2baSkpBAVFUXjxo2V9Q8ePCAoKIiFCxdy7949vvvuOwwNDZ87\nTt26dUlJSSE5OZnevXsTEBDAvXv38jVWUbRoe59EUTRJXoqCIrkltJHkpdA0bc9BKVRooWXLltG4\ncWO6detGWFjYc+vVajU///wzoaGhWFtbs3Hjxhceq2LFitSvX59Tp069VgwXL16kUaNG2NjYYGtr\nS9euXXPdHB89ehRPT0/MzMzo3Lkzjx8/Vtbt3LkTJyenPI9brlw5Ll26RKtWrTAzM+PJkyfcuHGD\n1q1bY21tTYUKFVi4cKGyfWhoKB06dKBbt26Ym5s/9/s4ePAgDg4OuYokv/76K25ubgAcOnQILy8v\nLC0tcXR0ZNCgQTx58kTZVkdHh3nz5lGhQgUqVqz4XLxXrlxBR0dHaZHi4+PD2LFjqVevHmZmZjRt\n2pSEhIQ8zzUqKoqmTZtSpkwZAOzs7OjTp4+yXqVSoa+vj4uLCwA1atTAOo++5DnnplKpCAoK4tGj\nR1y8eDHP9xRCCCGEEEKIwk4KFVpo2bJldOrUiYCAACIjI7l9+3au9Xv37uXWrVu0aNGCjh07vrCY\nAXD69Gn27NmDh4fHa8cREhJCfHw8Z86cIS4ujtDQUADS09Np27YtPXr0ICkpiY4dO/LLL7+8UkuN\nixcvUrp0aX7//Xfu37+Pvr4+nTt3pnTp0sTHx7N27Vq++OILduzYoezz22+/0bFjR+7du0eXLl1y\nHa927dqYmJjk6s4SHh7ORx99BICenh6zZ88mISGB/fv3s23bNubNm5frGBs2bODw4cOcPn36lX4v\nK1asYOnSpdy+fZv09HRmzJiR53Z16tRh2bJlzJgxg6ioqOdagxQrVgx3d3c6duxIUlLSS983IyOD\nhQsXYmpqSoUKFV4pViHy4uPjo+kQhHiO5KUoKJJbQhtJXgpN0/YclELFs1Sq/Pl5Q3v37uX69eu0\nbt2aChUqUKVKFcLDw3NtExYWRqtWrTA0NKRjx45s3ryZO3fu5NrG09MTKysrWrduTXBwMEFBQa8V\nR7ly5fD19UVfXx8bGxuGDh3Krl27ADhw4AAZGRl8+umn6Orq4u/vT82aNd/ofOPi4ti3bx9Tp06l\nWLFiuLm50adPH5YtW6Zs4+3trYxlkVfXiMDAQFasWAFASkoKERERBAYGKr+HWrVqoaOjg7OzM337\n9lXOI8fo0aOxsLDAwMDgpfHmtGooX748hoaGBAQEcOzYsTy3/eijj5g7dy6RkZH4+PhgZ2fHtGnT\nlPWDBg2iWrVqdOrUicaNGyvFijFjxjB8+HBluwMHDmBpaYmDgwOrVq3i119/xdTU9KWxCiGEEEII\nIURhJIWKZ6nV+fPzhsLCwmjSpIlyI/psi4lHjx6xdu1aOnbsCIC7uzsuLi7PFTOOHj1KYmIiFy5c\nYMKECa8dx61bt+jcuTOlSpXC3Nycbt26KV0cbty4QcmSJXNt7+zs/NrvkXMsKysrTExMlNdKly6d\na1DJUqVK/esxunTpwrp160hPT2fdunVUr15d6XoSExNDy5YtcXBwwNzcnJCQkOe6aryom8qL2Nvb\nK/83MjLiwYMH/xrbli1buHfvHj/88ANffvklW7Zs4eHDhyxevJjx48czatQoGjduTOPGjUlMTGTf\nvn34+voqx6hTpw5JSUncuXOHffv20ahRo9eKV4hnaXufRFE0SV6KgiK5JbSR5KXQNG3PQSlUaJFH\njx6xevVqtm/fjoODAw4ODsycOZPjx49z4sQJIHv8hfv37/Pxxx8r28TFxeXZ/eO/+OKLL9DV1SU6\nOpp79+7x888/K+M0ODg4PDc7xdWrV9/ofRwdHUlMTMx1sx8bG5urOPGyLiWVK1fG2dmZiIgIwsPD\nc3UP6d+/P1WqVOHChQvcu3ePSZMmKefxqsfPD7q6unTo0IFq1aoRHR1NVlYWmZmZykCoU6dOpXr1\n6kpRonnz5gUekxBCCCGEEEJoIylUaJH169ejp6fHmTNnOH78OMePH+fMmTPUr19f6QoRFhZG7969\niY6OVrb566+/OH78ONHR0a/0Punp6Tx+/Fj5yWsmjQcPHmBiYoKZmRnXr19n+vTpyjovLy/09PSY\nM2cOT548Yd26dRw+fPiNztnJyQlvb29Gjx5NWloaJ06cYPHixXTt2vW1jtOlSxdmzZrFnj17lNYm\nOedhamqKsbExZ8+eZf78+W8U59NedXaTsLAw/vjjD1JSUsjKyiIiIoJTp05Ru3ZtTE1NadasGQMG\nDFDGuvD19eXy5cvKIKNCFBRt75MoiibJS1FQJLeENpK8FJqm7TkohQotsmzZMnr16kWpUqUoUaIE\nJUqUwM7OjoEDBxIeHk5sbCzbt29nyJAhyvoSJUrg6elJs2bNco3r8G9atGiBsbGx8jN+/Pjnthk3\nbhx///035ubmtGrVCn9/f6XlQbFixVi3bh1Lly7F2tqa1atX4+/v/8bnvWLFCq5cuYKjoyPt27dn\nwoQJSveGV51ONTAwkN27d+Pr64uVlZXy+owZMwgPD8fMzIy+ffvSuXPnXMd7lWM/u82z+7/oGGZm\nZkyePBlnZ2csLS0ZNWoUP/zwA97e3gAsX74cOzs73NzcsLW1JSwsjH379pGZmUnv3r1f6/yFEEII\nIYQQ4l2hUr/q4+FCRqVS5fnk+0Wvi/yzfft2goODZQrNQkA+D0XTzp07tb6KLooeyUtRUCS3hDaS\nvBSapukcfNl9iLSoEPkuOjqasmXLajoMIYQQQgghhBCFkLSoEPnq008/5ffffycsLIx69eppOhzx\nEvJ5EEIIIYQQQrxtL7sPkUKFEEWYfB6EEEIIIYQQb5t0/RBCCJGLts+bLYomyUtRUCS3hDaSvBSa\npu05KIUKIYQQQgghhBBCaA3p+iFEESafByGEEEIIIcTb9rL7EL23GItWsLS0RKVSaToMIbSCpaWl\npkMQQgghhBBCiFyKXNePxMRE1Gq1/MhPgf/s2LFD4zG87CcxMVHTH0mhAdreJ1EUTZKXoqBIbglt\nJHkpNE3bc7DIFSqEeFuOHTum6RCEyJPkptBGkpeioEhuCW0keSk0TdtzUCOFisTERPz8/HB1daVJ\nkyYkJyfnuV2vXr2ws7Pj/fffz/V6aGgopUqVwsPDAw8PDzZv3vw2whbitbwor4XQNMlNoY0kL0VB\nkdwS2kjyUmiatuegRgoVX3/9NX5+fsTExODr68vXX3+d53ZBQUF5FiFUKhWfffYZR48e5ejRozRr\n1qygQxZCCCGEEEIIIcRboJFCxW+//UaPHj0A6NGjB+vXr89zu/r1679wsD+1WmYqENrtypUrmg5B\niDxJbgptJHkpCorkltBGkpdC07Q9BzUyPamlpSVJSUlAdsHByspKWX7WlStXaNWqFSdPnlReGz9+\nPEuWLMHc3JwaNWowc+ZMLCwscu0nM3sIIYQC4jGdAAAgAElEQVQQQgghhBDa6d9KEQU2Pamfnx83\nb9587vVJkyblWlapVK9dVOjfvz9jx44F4Msvv2TYsGEsWrQo1zbS4kIIIYQQQgghhCh8CqxQsWXL\nlheus7Oz4+bNm9jb2xMfH0+JEiVe69hPb9+nTx9atWr1xnEKIYQQQgghhBBCe2hkjIrWrVsTFhYG\nQFhYGG3btn2t/ePj45X///rrr8/NCiKEEEIIIYQQQojCSSNjVCQmJhIQEEBsbCwuLi6sXr0aCwsL\nbty4QXBwMJs2bQIgMDCQXbt2kZCQQIkSJZgwYQJBQUF0796dY8eOoVKpKFOmDD/++CN2dnZv+zSE\nEEII8QaysrLQ0dHIsxIhhBBCFAIaKVTkpw0bNnD9+nVq1qxJzZo1NR2OKIIkB4W22b59O/b29pQr\nVw4DAwPUarUMMCy0wokTJ5g9ezblypWjT58+r931U4h/s2PHDvT19alVqxbFihXTdDhCALBt2zbc\n3d2xtrbWdCiiiEpKSsLCwqLQXQsW2kLFtWvX6Nu3Lw8ePMDPz4+ff/6Z+fPn4+vrq+nQRBEhOSi0\nzalTpwgJCSE+Pp4yZcqgUqlYsWKFpsMSArVazbBhw9ixYwfBwcHKDWV4eLimQxPvgOjoaEJCQrhz\n5w62trZ4e3vTv39/zMzMNB2aKMJ++eUXvv32W0xMTDAyMqJ79+60b99e02GJIuTOnTsMHz6cu3fv\nUrlyZaZPn16oihWFtt1lVFQUDRs2ZPfu3Xz55ZcMGjSI+fPnazosUYRIDgptcvfuXRYvXoyPjw8H\nDx7k+++/Jz4+nvv37wMyE5LQrKysLGrUqMHWrVsZMGAAU6dOxcjIiPT0dE2HJgq5rKwsJk2ahI+P\nD/v27WPgwIGcPn1aihRCo3bt2sXKlSsZP348kZGR+Pj4cO7cOU2HJYqQgwcP4uXlRalSpfjf//7H\nypUrWb9+vabDei26oaGhoZoO4lXFx8djamoKgJmZGdWrV8fExASAy5cvo1aradSokTRzFgVGclBo\nKyMjI+rUqYOPjw8AISEhPHnyBBsbGypUqCD5KN66EydOoFarKV68OCqVimrVqmFsbMzu3bvx8fHB\n3NycPXv2UL16dbmpFK8tLS0NPT09VCoVH374IfXr1wdg2bJlnDp1ilKlSmFsbEzx4sU1HKkoKp6+\n9rO2tqZjx45UqFCB1NRUQkJCqFGjBgYGBtjZ2ZGVlSXfy6JAmZiY0LFjRzp06IChoSFXr16lfPny\nVKxYUdOhvbJC0aLiwIED2NnZ4efnp7zm6OiIra2t8pTw2rVrJCcnA8gHX+Q7yUGhbf744w8qVKjA\n/v37geycMzc358mTJyxdupSYmBjatm3LZ599xpw5cwBpVSHejuTkZNq0aYOnpyd//PEHjx49yvU3\nMTMzk8WLFxMREUF6ejrLly8nLS1NgxGLwuT333/H19eXH3/8UXnNyMgIgHnz5rF3717atWvHokWL\n+Oabb8jKytJUqKIImTx5Mg0bNlSWixcvjoGBATdu3GDw4MHY2dmRkpKCn58fsbGxMpiwyHfHjx9n\n5cqV3Lt3D8h+oFq2bFlSUlJo3bo14eHhzJ07l88//5y4uDgNR/tqtL5FRWpqKmvXrqVly5acPn0a\nHR0dPDw8clUiVSoVEyZMoF+/fjg7O5OQkICxsbGGIxfvCslBoW0OHz7MvHnzUKvVREVF0aVLF2Wd\nrq4uLi4u9O7dGzc3N6pVq8awYcP47LPPpIAm3orz588D4Ovry8WLFylZsiQODg7K+jJlylC5cmWl\nuPb9998THBwsF+7ipS5dusSQIUMoU6YMKSkplCpVCnt7e548eYKuri5ubm706tWLWrVqYWVlxb59\n+/Dw8MDCwkLToYt3VFZWFrNmzWLnzp2cOXOGtLQ06tevT2ZmJjo6OhQvXpx69erRo0cP6tWrx5Ur\nV9i6dStt2rTRdOjiHfLzzz/TrFkzrl+/znvvvYeLi4vynWpgYICzszNz586lXr16bNy4EXt7e8qX\nL6/hqF9OK68KMjIyiImJITU1FWNjY/z9/enduzdjxoxh+vTppKSk5LqgycjIwMHBgTJlyjBq1Cga\nN26s9MsW4k1IDgpto1arefz4MZB9oxcaGsrevXuJjY1VBiTMeXL49EV5+fLlady4MampqW8/aFFk\nbNu2jdOnTwNQsWJFgoODGThwICkpKezdu5ekpKQ897t06RJeXl5kZma+zXBFIfJ0i4iyZcuyfPly\nQkNDsbGxYd26dQDo6+vn+hfA1taW1NRUnJyc3m7AokhIS0tTpln28fFh9erVbN26lalTp5KSkoKe\nnh6ZmZmoVKpcs31UrVoVLy8vDUYu3jXp6ek4OTlx+PBhmjVrxu7du7l+/TrwT0tab29vIPv60cDA\ngDNnzmgs3tehdYWKdevW4ejoyIgRI+jatStJSUmULVsWgBYtWuDq6sqkSZMAlD8A9+/fJywsDF9f\nXx49esS2bdukv6t4Y5KDQtvMnj2bunXr8sknnxATE4ONjQ1VqlQBYOzYsUydOpXHjx8rxbP09HQe\nPXrEkiVLaNWqFRUqVJAWPqJAxMXF4e7uzldffcXgwYNZuHChUuA1MDCgffv2HDlyhGPHjikXTImJ\niezYsYO6deuydu1agoODZSpJkaeffvqJ6tWrM2rUKKUoUa5cOcqUKUOdOnW4efMmf/75J5Bd0FCr\n1Tx8+JAFCxbQvXt3qlevjo6OjnR7E/kmMzOT4OBgunXrxvjx4wHw8PDAxMSESpUq0bx5c/r37w/8\nU2RLT08nOTmZsWPH8uOPP1KpUiWNxS/eDZGRkXz99decP3+eYsWK4e3tTfXq1Wnbti0xMTFERUUp\n9yhP27lzJ+fPn6dWrVoaivz1aFWh4uHDh2zYsIGNGzeyYcMGLCwsmDVrFqdOnVK2mTZtGqtWrSI+\nPh5dXV0ePnxIXFwcXbp0Ye3atcyePRsrKysNnoUozCQHhbaJiopi48aNLFu2DGdnZyZOnMgff/yh\nrPf398fe3p6vv/5aeU2lUjFnzhzWrVvHggUL+OKLLzQRuigCzp49S+PGjdmxYwejRo3i3LlzzJw5\nU1nfvHlzbGxs2L9/PyqVivT0dKysrEhISGDw4MFs3rxZKboJ8bTDhw/z448/8sMPP1CzZk2mTZvG\n5s2blfU1atSgQoUK/P777wDo6OiQmZnJ0qVLWbVqFT/99BMjR45EpVJJtzeRL7KyspgyZQrp6enM\nmDGDnTt3MnHiROLj45Uc+/HHH9m4cSNHjhxRWvjcunWLnj17cvPmTbZv364M/CrEmxg/fjyDBw/m\n9u3bjBo1innz5inF/mrVquHm5qZ0RYLsVt/nz5+nW7dujBo1iiFDhlC3bl1NnsIr0/gYFffv38fA\nwACAYsWKMWXKFGrVqoWrqysVKlTgyJEj3L17V6mKW1tb8+DBA+bMmUNkZCQxMTF06tSJ9u3bY2dn\np8lTEYWU5KDQNk+Pf7J7926ioqIYOnQoDRo04PLly5w5c4aSJUtia2sLQK1atRg3bhzu7u7MmzeP\nypUrU79+fYKCgnB0dFSeNMrFusgPt27dolixYujq6rJmzRpOnDhB586dcXR0xNLSklWrVuHq6krJ\nkiUBcHd3Z/ny5SxatIgvv/ySjz76iJo1a1K1alUNn4nQNjn9+gGOHTuGrq4uPXv2pEqVKhgZGTFy\n5EgGDx4MZI9ob2BgwKVLl/j777/5/fff8fDwwMvLi169euHo6KjJUxHvIJVKxYIFC/Dx8aFhw4bU\nqVOH9evXo6+vj6urK7q6uhgaGlKsWDHmzp2Lp6cnq1evxs/Pj4YNGxIYGIiRkZHypFu+k8XrUKvV\npKWlsWbNGhYsWECnTp2wsrJi48aNqNVqpejv4uLCpk2bcHBwwNbWluvXr+Pq6oqZmRmTJ09WWvQU\nhutCjbaomDBhAo0aNeLzzz9n5cqVALRr147o6GiysrKoUqUK1apVIy4ujgsXLij7JScns337dkqX\nLs3YsWM1Fb54B0gOCm0zefJkhg0bxm+//QZAzZo1KV26NMePH0elUtG0aVMyMjI4cOCAsk/FihV5\n8OABfn5+6OvrU7p0aaXrUc6FvwxUKP6r8PBw3NzcGDx4MAEBAQD07t2b69ev8/fff2NoaEjlypVp\n2LAha9euVfaLiopixYoVWFpasnfvXkqUKKGpUxBabNy4cYwaNYqNGzcC2Q8Odu/eraz/6KOPsLGx\nYfr06cprVapUYd++fXz11Vc8evQIW1tb5cGDEP/V9evXGT58OIsWLeLEiRMAeHp68vDhQx4+fKg8\nFNi/fz/Xrl1TbvqCgoLYvXs3LVq0UMZIsbOzQ61Wk5WVha6urtbfIArtERkZyfnz51GpVBgaGhId\nHc2WLVsA8PLyonnz5vzvf/9TxjErWbIkbdu2Zdy4cZQpU4bFixcD0LhxYyC7hQUUjhkKNXLlevPm\nTTp16sSFCxdYsmQJ1apVY/bs2aSkpPD+++9z8+ZNdu3aBcAHH3zAkSNHlIvsXbt2oVKpuHz5MpMn\nT9ZE+OIdIDkotM3hw4fx8PDgwoULVKpUie+//56lS5dia2tLiRIl+Ouvv4DsgbgcHBy4ePEiAPfu\n3ePLL7/E09OTCxcuMHHixFzH1dXVfevnIt4tWVlZLF++nPnz5zNv3jxWrVpFdHQ0ixcvxtbWlrZt\n2zJv3jwAzM3NcXBwULp5PH78mLt37xIZGcny5ctlYEPxnIMHD1K9enXi4uKoVq0aY8eOZevWrfj5\n+fHo0SPmzp2rbDtt2jT++OMP0tPTARg5ciT6+vqcOXOGWbNmaeoUxDto/vz5+Pj4oKenx+nTpxk/\nfjy3b9/GycmJS5cuce7cOQA6derE+fPniY+PB7JbAnXq1ImRI0dy7do12rZtqxxTpVLJQwPxyvbt\n24evry9Tpkzhk08+YeDAgQB8+umnrFmzhidPnlC8eHHq1q2Lo6OjUrxISEggNDQUIyMjtm/fnqtr\nMICent5bP5c3pZGuHzlNTcaOHYudnR329vYcOXIET09PypYty7lz54iOjsbT0xN7e3t+++03nJ2d\ncXV1pXTp0jRt2lQGKhT/ieSg0DZRUVHUrl2bkJAQatSogY6ODlFRUbRt25abN29y+vRp1Go15cuX\nx8jIiLlz59KrVy+MjIxwc3MjKCgIU1PTQlUpF4VDTtGhZ8+eSncNS0tLdu/eTZs2bShVqhTLly8n\nPT2d6tWrExsby6FDh/D390dPTw83NzdlQGIhnnX9+nVcXFwIDQ3Fzc2NK1eu8Pfff9OyZUsqVarE\nkCFD6NOnD4aGhqSmpnL16lUaNWpEsWLFaNSokfK3T4j88uTJEyIiIpgwYQJdunShatWqHD16FEdH\nR7y9vdmyZQtpaWk4OjpSokQJjh49yrVr12jYsCE2Nja0a9eOli1bAtlPr6U4IV7XnTt3mDt3Ln5+\nfsyZMwcfHx8+/fRTunTpwnvvvcdff/3F5cuX8fb2xsDAgA0bNuDm5kb58uV59OgRnp6eTJw4sdB3\n/9XIJ8fU1JRWrVopyyqVipMnT2JhYYGdnR3+/v48evSIwMBAunfvzqVLl6hWrVp2wPJhF/+RWq2W\nHBRaI2c0el9fX5o2baosx8fHK4Mj+fn5UblyZUaNGsWePXuYNWsWDRo0UIoSOVOfZWZmoqenJzkq\n8t37779PqVKllPw8fvw4lStXBrKnjBw9ejTz58/n448/ZsCAATJYnHhl7733HoGBgcoUtfXr10dX\nV5eMjAx8fHxo164dQ4cOZdWqVUyZMoWEhARMTEwAMDQ01GTo4h2UlZWFvr4+ffv2pWLFikB2U/oz\nZ86gUqkwNzenbdu2XLp0idGjR3P06FEOHDhAw4YNgeyn1ebm5mRlZZGVlVWonl4L7WFmZkafPn3o\n06cPmZmZODk50aRJE+Li4jA1NSU4OJiFCxdy/PhxjI2NSUxMJC0tDci+JvTx8QH+KZQV1uvCt/7p\nyanoPF39TkhIoGTJkkq/1YoVKzJ37lzWrVtHbGwsixYtyjU3thCvIzMzM8/m75KDQlOermzn/Fu8\neHHgn4E01Wq1UoCwt7cnODgYlUrF8uXLMTIyYtKkSc/lpHTzEP9VznR6z17U5PT7zymGPXjwQOnv\nCtCoUSPWrl1LVFQUw4YNw9XV9e0FLQqNvL6Pc/725YiIiKBkyZLKDV7O7ArLli3DycmJKVOmvLV4\nRdHwdF7m/O3LGYw1Z8pbc3NzLCwsgOyHB9WrV2fSpEmMGTOGDh06KDeGOQrrjaHQjKysrFw5Y2Bg\ngJubG5B9bXfv3j0OHTpEyZIlUalUeHt706dPH6ZOncqBAwfw9vZ+LgehcHXzyItK/ZYml46MjMTb\n2xtTU1PlIj3n34iICNatW8dPP/3Exo0bMTc3p0GDBm8jLPGOe/qDf/LkSapUqZLrIklyULxNarUa\ntVqd68vo2S+nnJxs0qQJoaGheHt7c+TIEapXrw5kN0nNKVC8qAgnxOu6ceMGBgYGSnEsPT1dadGT\nV5598MEH/Prrr9y6dYv169czevTotx6zKFyeLtBGRkbSsGFDJccg+8mfnp4erVu35quvvqJatWqc\nPHkSZ2dnzMzMcuWkEPnh2ebwx44do2rVqsrNXc76mJgYunTpQlRUFADnzp2jYsWKpKen52rFWFib\n1wvt8ew1IWR/B8fExDBs2LBc09MDpKSkcO3aNaWF47uWgwVS7sur9jF//vznBjrK+UXu2bOHtLQ0\nevfuzfTp06Upn8g3Ojo6xMTE8OGHHzJlyhRiY2NzrZccFG9LznRkOjo6nDlzhoULF/L48ePnvpBU\nKhWJiYkYGRlhZGREQEAAY8aMISEhAbVajb6+fq6Rw4XID927d2f9+vU8ePCA4OBgunfvrgzA9Wye\nnT59muTkZEJDQ/noo4/k76V4JSqVilu3bjFkyBCmTJnClStXcl0v6ujokJWVhYWFBTExMXTo0IGv\nvvpKGThTihQiv+TkXc414IEDB+jVqxcrV65UWpU9vf7cuXPUrl2bgwcPUr9+fX799VelW4eOjg6Z\nmZnv3A2iKHg5uZbzEGv69OkcPnw41zrI/g6Oj4+nZs2aJCYm0r17d5YvXw5ktw6vXLkyarVauc58\nl+Rre5Cnn7qkpaURGRlJ69atAfjwww9JT0/PtU3OH4ro6GhOnTqlTAEkxJt69slfcnIy48ePp2XL\nlvTv3/+57SUHxduiq6vL48ePCQ8P54cffsDIyIgTJ07w0UcfUbt27VwXOffv32fjxo1cvHiR/v37\n88knn+Q6lsy/LvJDzpgAurq6DBw4kAULFnDu3DlMTU3p378/ffv2Ra1WM3r06FxPeZKTk4mNjUVf\nX589e/Yo4wUI8bRnv49v3brFzJkz2bx5M2fPnn1uex0dHU6ePMny5cs5e/YsPXv2ZMCAAW8zZFEE\nPJuX0dHReHt7M2nSpBe2DDt79izz58/n7Nm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} ], "prompt_number": 21 }, { "cell_type": "markdown", "metadata": {}, "source": [ "###Let's incorporate this idea into our algorithm:\n", "\n", "From now on we will use the day's percent change, or the day's return, instead of the adjusted closing price of the stock. Before we decide whether to buy or sell, we adjust the return by the return of the S&P in the same period. Then we will trade the stock if they are within our correlation tolerance. If the return is positive for the opposing partner we buy the stock; if the return is negative we sell the stock.\n", "\n", "The resulting trading algorithm is shown below:\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "class GOOG_AAPL_COR_V_SP500(TradingAlgorithm): # inherit from TradingAlgorithm\n", " \"\"\"\n", " Google Apple Correlation algorithm adjusted for movements in the S&P500.\n", "\n", " An algorithm designed to exploit the correlation in the movement of Apple's and \n", " Google's common stock. \n", " \"\"\"\n", " def initialize(self):\n", " self.capital_base = 1000000\n", " self.pricea = 0\n", " self.priceg = 0\n", " self.pricespx = 0\n", " self.window_length = 5 \n", " self.corr_tolerance = 0.9\n", " self.max_notional = self.capital_base + 0.1\n", " self.min_notional = self.capital_base * (-1) \n", " self.pricealag = 0\n", " self.priceglag = 0\n", " self.pricespxlag = 0\n", " self.buy_orders = []\n", " self.sell_orders = [] \n", " self.corr_values_aapl = []\n", " self.corr_values_goog = []\n", "\n", " def handle_data(self, data):\n", " self.pricea = data.AAPL.price \n", " self.priceg = data.GOOG.price \n", " self.pricespx = data.SPX.price\n", "\n", " # find percent change and substract movements from SPX\n", " aapl_mov, goog_mov = self.spx_adjust(data, self.pricea, self.priceg, self.pricespx, self.pricealag, self.priceglag, self.pricespxlag)\n", "\n", " # calculate the correlation between the stocks\n", " corr, pval = self.correlation(data, self.pricea, self.priceg)\n", " print str(data.AAPL.datetime) + ': Pearson Correlation: ' + str(corr) # print results to console\n", " \n", " \n", " #notional = self.portfolio.positions[data.AAPL].amount * pricea\n", " #notional = notional + self.portfolio.positions[data.GOOG].amount * priceg \n", "\n", " # Decision Logic\n", " if goog_mov < 0 and np.abs(corr) > self.corr_tolerance:\n", " self.order('AAPL',-100)\n", " self.sell_orders.append((data.AAPL.datetime, pval)) # save the order amount and time for analysis\n", " print \"{dt}: Selling 100 AAPL shares.\".format(dt = data.AAPL.datetime)\n", " elif goog_mov > 0 and np.abs(corr) > self.corr_tolerance:\n", " self.order('AAPL',100)\n", " self.buy_orders.append((data.AAPL.datetime, pval))\n", " print \"{dt}: Buying 100 AAPL shares.\".format(dt = data.AAPL.datetime)\n", "\n", " if aapl_mov < 0 and np.abs(corr) > self.corr_tolerance:\n", " self.order('GOOG',-100)\n", " self.sell_orders.append((data.GOOG.datetime, pval))\n", " print \"{dt}: Selling 100 GOOG shares.\".format(dt = data.GOOG.datetime)\n", " elif aapl_mov > 0 and np.abs(corr) > self.corr_tolerance:\n", " self.order('GOOG',100)\n", " self.buy_orders.append((data.GOOG.datetime, pval)) \n", " print \"{dt}: Buying 100 GOOG shares.\".format(dt = data.GOOG.datetime)\n", "\n", " # lag price variables \n", " self.pricealag = data.AAPL.price\n", " self.priceglag = data.GOOG.price\n", " self.pricespxlag = data.SPX.price\n", "\n", " def correlation(self, data, pricea, priceg):\n", " self.corr_values_aapl.append(self.pricea)\n", " self.corr_values_goog.append(self.priceg)\n", " corr = pearsonr(self.corr_values_aapl[-self.window_length:], self.corr_values_goog[-self.window_length:]) # [0] only get the correltion\n", " return corr\n", "\n", " def per_change(self, data, begin, end):\n", " percent_change = ((end - begin)/begin)\n", " return percent_change\n", " \n", " def spx_adjust(self, data, pricea, priceg, pricespx, pricealag, priceglag, pricespxlag):\n", " spx_change = self.per_change(data, pricespx, self.pricespxlag)\n", " aapl_change = (self.per_change(data, pricea, self.pricealag) - spx_change)\n", " goog_change = (self.per_change(data, priceg, self.priceglag) - spx_change)\n", " return (aapl_change, goog_change)\n", " " ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 22 }, { "cell_type": "code", "collapsed": false, "input": [ "GOOG_AAPL_COR_V_SP500 = GOOG_AAPL_COR_V_SP500()\n", "results_GOOG_AAPL_COR_V_SP500 = GOOG_AAPL_COR_V_SP500.run(data)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "2012-11-01 00:00:00+00:00: Pearson Correlation: nan\n", "2012-11-02 00:00:00+00:00: Pearson Correlation: -1.0\n", "2012-11-02 00:00:00+00:00: Selling 100 AAPL shares.\n", "2012-11-02 00:00:00+00:00: Buying 100 GOOG shares.\n", "2012-11-05 00:00:00+00:00: Pearson Correlation: 0.059824040231\n", "2012-11-06 00:00:00+00:00: Pearson Correlation: 0.174659180436\n", "2012-11-07 00:00:00+00:00: Pearson Correlation: 0.824233785309\n", "2012-11-08 00:00:00+00:00: Pearson Correlation: 0.952297709192\n", "2012-11-08 00:00:00+00:00: Buying 100 AAPL shares.\n", "2012-11-08 00:00:00+00:00: Buying 100 GOOG shares.\n", "2012-11-09 00:00:00+00:00: Pearson Correlation: 0.991554650251\n", "2012-11-09 00:00:00+00:00: Selling 100 AAPL shares.\n", "2012-11-09 00:00:00+00:00: Selling 100 GOOG shares.\n", "2012-11-12 00:00:00+00:00: Pearson Correlation: 0.929368022202\n", "2012-11-12 00:00:00+00:00: Selling 100 AAPL shares.\n", "2012-11-12 00:00:00+00:00: Buying 100 GOOG shares.\n", "2012-11-13 00:00:00+00:00: Pearson Correlation: 0.757576476824\n", "2012-11-14 00:00:00+00:00: Pearson Correlation: 0.845836369332\n", "2012-11-15 00:00:00+00:00: Pearson Correlation: 0.904363385855\n", "2012-11-15 00:00:00+00:00: Buying 100 AAPL shares.\n", "2012-11-15 00:00:00+00:00: Buying 100 GOOG shares.\n", "2012-11-16 00:00:00+00:00: Pearson Correlation: 0.919167495476\n", "2012-11-16 00:00:00+00:00: Buying 100 AAPL shares.\n", "2012-11-16 00:00:00+00:00: Buying 100 GOOG shares.\n", "2012-11-19 00:00:00+00:00: Pearson Correlation: 0.98644535697\n", "2012-11-19 00:00:00+00:00: Selling 100 AAPL shares.\n", "2012-11-19 00:00:00+00:00: Selling 100 GOOG shares.\n", "2012-11-20 00:00:00+00:00: Pearson Correlation: 0.988017374005\n", "2012-11-20 00:00:00+00:00: Selling 100 AAPL shares.\n", "2012-11-20 00:00:00+00:00: Buying 100 GOOG shares.\n", "2012-11-21 00:00:00+00:00: Pearson Correlation: 0.98614541901\n", "2012-11-21 00:00:00+00:00: Buying 100 AAPL shares.\n", "2012-11-21 00:00:00+00:00: Buying 100 GOOG shares.\n", "2012-11-23 00:00:00+00:00: Pearson Correlation: 0.956502301266\n", "2012-11-23 00:00:00+00:00: Buying 100 AAPL shares.\n", "2012-11-23 00:00:00+00:00: Selling 100 GOOG shares.\n", "2012-11-26 00:00:00+00:00: Pearson Correlation: -0.850795924042\n", "2012-11-27 00:00:00+00:00: Pearson Correlation: -0.388234458157\n", "2012-11-28 00:00:00+00:00: Pearson Correlation: 0.132856328942\n", "2012-11-29 00:00:00+00:00: Pearson Correlation: 0.244364901771\n", "2012-11-30 00:00:00+00:00: Pearson Correlation: -0.233575324747\n", "2012-12-03 00:00:00+00:00: Pearson Correlation: 0.394085687777\n", "2012-12-04 00:00:00+00:00: Pearson Correlation: 0.281478815016\n", "2012-12-05 00:00:00+00:00: Pearson Correlation: 0.738307236796\n", "2012-12-06 00:00:00+00:00: Pearson Correlation: 0.840028399437\n", "2012-12-07 00:00:00+00:00: Pearson Correlation: 0.87515944915\n", "2012-12-10 00:00:00+00:00: Pearson Correlation: 0.793381038641\n", "2012-12-11 00:00:00+00:00: Pearson Correlation: 0.699662917774\n", "2012-12-12 00:00:00+00:00: Pearson Correlation: 0.61994502866\n", "2012-12-13 00:00:00+00:00: Pearson Correlation: 0.269620004501\n", "2012-12-14 00:00:00+00:00: Pearson Correlation: -0.279590717582" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "2012-12-17 00:00:00+00:00: Pearson Correlation: -0.546140037064\n", "2012-12-18 00:00:00+00:00: Pearson Correlation: -0.0881216339673\n", "2012-12-19 00:00:00+00:00: Pearson Correlation: 0.403905418053\n", "2012-12-20 00:00:00+00:00: Pearson Correlation: 0.755250505131\n", "2012-12-21 00:00:00+00:00: Pearson Correlation: 0.339476408109\n", "2012-12-24 00:00:00+00:00: Pearson Correlation: 0.549057229948\n", "2012-12-26 00:00:00+00:00: Pearson Correlation: 0.739033938857\n", "2012-12-27 00:00:00+00:00: Pearson Correlation: 0.744796824599\n", "2012-12-28 00:00:00+00:00: Pearson Correlation: 0.821945371289\n", "2012-12-31 00:00:00+00:00: Pearson Correlation: 0.466884246454\n", "2013-01-02 00:00:00+00:00: Pearson Correlation: 0.876920310513\n", "2013-01-03 00:00:00+00:00: Pearson Correlation: 0.927515534537\n", "2013-01-03 00:00:00+00:00: Selling 100 AAPL shares.\n", "2013-01-03 00:00:00+00:00: Buying 100 GOOG shares.\n", "2013-01-04 00:00:00+00:00: Pearson Correlation: 0.494477226709\n", "2013-01-07 00:00:00+00:00: Pearson Correlation: -0.387391976151\n", "2013-01-08 00:00:00+00:00: Pearson Correlation: -0.927721502534\n", "2013-01-08 00:00:00+00:00: Selling 100 AAPL shares.\n", "2013-01-08 00:00:00+00:00: Selling 100 GOOG shares.\n", "2013-01-09 00:00:00+00:00: Pearson Correlation: -0.909803583801\n", "2013-01-09 00:00:00+00:00: Selling 100 AAPL shares.\n", "2013-01-09 00:00:00+00:00: Buying 100 GOOG shares.\n", "2013-01-10 00:00:00+00:00: Pearson Correlation: -0.233228339811\n", "2013-01-11 00:00:00+00:00: Pearson Correlation: -0.446151532632\n", "2013-01-14 00:00:00+00:00: Pearson Correlation: 0.806202475541\n", "2013-01-15 00:00:00+00:00: Pearson Correlation: 0.907783047386\n", "2013-01-15 00:00:00+00:00: Selling 100 AAPL shares.\n", "2013-01-15 00:00:00+00:00: Buying 100 GOOG shares.\n", "2013-01-16 00:00:00+00:00: Pearson Correlation: 0.696926220586\n", "2013-01-17 00:00:00+00:00: Pearson Correlation: 0.442689440196\n", "2013-01-18 00:00:00+00:00: Pearson Correlation: -0.496565907528\n", "2013-01-22 00:00:00+00:00: Pearson Correlation: -0.717758128217\n", "2013-01-23 00:00:00+00:00: Pearson Correlation: 0.91836915185\n", "2013-01-23 00:00:00+00:00: Selling 100 AAPL shares.\n", "2013-01-23 00:00:00+00:00: Selling 100 GOOG shares.\n", "2013-01-24 00:00:00+00:00: Pearson Correlation: -0.601692961309\n", "2013-01-25 00:00:00+00:00: Pearson Correlation: -0.703340810332\n", "2013-01-28 00:00:00+00:00: Pearson Correlation: -0.708631151794\n", "2013-01-29 00:00:00+00:00: Pearson Correlation: -0.942863822082\n", "2013-01-29 00:00:00+00:00: Buying 100 AAPL shares.\n", "2013-01-29 00:00:00+00:00: Selling 100 GOOG shares.\n", "2013-01-30 00:00:00+00:00: Pearson Correlation: 0.105071788809\n", "2013-01-31 00:00:00+00:00: Pearson Correlation: 0.267677939369\n", "2013-02-01 00:00:00+00:00: Pearson Correlation: -0.0734603761372\n", "2013-02-04 00:00:00+00:00: Pearson Correlation: -0.199311330537" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "2013-02-05 00:00:00+00:00: Pearson Correlation: 0.0510478602377\n", "2013-02-06 00:00:00+00:00: Pearson Correlation: 0.353566175356\n", "2013-02-07 00:00:00+00:00: Pearson Correlation: 0.693378247595\n", "2013-02-08 00:00:00+00:00: Pearson Correlation: 0.952514956078\n", "2013-02-08 00:00:00+00:00: Selling 100 AAPL shares.\n", "2013-02-08 00:00:00+00:00: Selling 100 GOOG shares.\n", "2013-02-11 00:00:00+00:00: Pearson Correlation: 0.922284099348\n", "2013-02-11 00:00:00+00:00: Buying 100 AAPL shares.\n", "2013-02-11 00:00:00+00:00: Selling 100 GOOG shares.\n", "2013-02-12 00:00:00+00:00: Pearson Correlation: 0.855718558992\n", "2013-02-13 00:00:00+00:00: Pearson Correlation: 0.442512222602\n", "2013-02-14 00:00:00+00:00: Pearson Correlation: -0.15909805662\n", "2013-02-15 00:00:00+00:00: Pearson Correlation: -0.660823444996\n", "2013-02-19 00:00:00+00:00: Pearson Correlation: -0.873349113446\n", "2013-02-20 00:00:00+00:00: Pearson Correlation: -0.373572157847\n", "2013-02-21 00:00:00+00:00: Pearson Correlation: -0.101445899412\n", "2013-02-22 00:00:00+00:00: Pearson Correlation: 0.398375188553\n", "2013-02-25 00:00:00+00:00: Pearson Correlation: 0.935757136186\n", "2013-02-25 00:00:00+00:00: Selling 100 AAPL shares.\n", "2013-02-25 00:00:00+00:00: Selling 100 GOOG shares.\n", "2013-02-26 00:00:00+00:00: Pearson Correlation: 0.488289511759\n", "2013-02-27 00:00:00+00:00: Pearson Correlation: 0.236926672758\n", "2013-02-28 00:00:00+00:00: Pearson Correlation: -0.134727207432\n", "2013-03-01 00:00:00+00:00: Pearson Correlation: -0.800766068617\n", "2013-03-04 00:00:00+00:00: Pearson Correlation: -0.966418239347\n", "2013-03-04 00:00:00+00:00: Selling 100 AAPL shares.\n", "2013-03-04 00:00:00+00:00: Buying 100 GOOG shares.\n", "2013-03-05 00:00:00+00:00: Pearson Correlation: -0.612146269391\n", "2013-03-06 00:00:00+00:00: Pearson Correlation: -0.523858670059\n", "2013-03-07 00:00:00+00:00: Pearson Correlation: 0.128313159843\n", "2013-03-08 00:00:00+00:00: Pearson Correlation: 0.856768169064\n", "2013-03-11 00:00:00+00:00: Pearson Correlation: 0.37064308425\n", "2013-03-12 00:00:00+00:00: Pearson Correlation: 0.694439233109\n", "2013-03-13 00:00:00+00:00: Pearson Correlation: 0.848864875018\n", "2013-03-14 00:00:00+00:00: Pearson Correlation: 0.583850851016\n", "2013-03-15 00:00:00+00:00: Pearson Correlation: -0.382247521161\n", "2013-03-18 00:00:00+00:00: Pearson Correlation: -0.986326278298\n", "2013-03-18 00:00:00+00:00: Buying 100 AAPL shares.\n", "2013-03-18 00:00:00+00:00: Selling 100 GOOG shares.\n", "2013-03-19 00:00:00+00:00: Pearson Correlation: -0.982469497378\n", "2013-03-19 00:00:00+00:00: Selling 100 AAPL shares.\n", "2013-03-19 00:00:00+00:00: Buying 100 GOOG shares.\n", "2013-03-20 00:00:00+00:00: Pearson Correlation: -0.916359799195\n", "2013-03-20 00:00:00+00:00: Buying 100 AAPL shares.\n", "2013-03-20 00:00:00+00:00: Buying 100 GOOG shares.\n", "2013-03-21 00:00:00+00:00: Pearson Correlation: -0.69849547277" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "2013-03-22 00:00:00+00:00: Pearson Correlation: -0.483088392126\n", "2013-03-25 00:00:00+00:00: Pearson Correlation: -0.769950032764\n", "2013-03-26 00:00:00+00:00: Pearson Correlation: -0.692494102481\n", "2013-03-27 00:00:00+00:00: Pearson Correlation: 0.534907310429\n", "2013-03-28 00:00:00+00:00: Pearson Correlation: 0.973183362731\n", "2013-03-28 00:00:00+00:00: Buying 100 AAPL shares.\n", "2013-03-28 00:00:00+00:00: Buying 100 GOOG shares.\n", "2013-04-01 00:00:00+00:00: Pearson Correlation: 0.726670249705\n", "2013-04-02 00:00:00+00:00: Pearson Correlation: 0.143611794748\n", "2013-04-03 00:00:00+00:00: Pearson Correlation: -0.465442720063\n", "2013-04-04 00:00:00+00:00: Pearson Correlation: -0.395440571443\n", "2013-04-05 00:00:00+00:00: Pearson Correlation: 0.888941897899\n", "2013-04-08 00:00:00+00:00: Pearson Correlation: 0.799236827344\n", "2013-04-09 00:00:00+00:00: Pearson Correlation: 0.759685868182\n", "2013-04-10 00:00:00+00:00: Pearson Correlation: 0.457328874099\n", "2013-04-11 00:00:00+00:00: Pearson Correlation: 0.780718813282\n", "2013-04-12 00:00:00+00:00: Pearson Correlation: 0.863304390263\n", "2013-04-15 00:00:00+00:00: Pearson Correlation: 0.724997330538\n", "2013-04-16 00:00:00+00:00: Pearson Correlation: 0.623692113603\n", "2013-04-17 00:00:00+00:00: Pearson Correlation: 0.744004178512\n", "2013-04-18 00:00:00+00:00: Pearson Correlation: 0.894304567757\n", "2013-04-19 00:00:00+00:00: Pearson Correlation: 0.204682970752\n", "2013-04-22 00:00:00+00:00: Pearson Correlation: 0.203268615806\n", "2013-04-23 00:00:00+00:00: Pearson Correlation: 0.408273152978\n", "2013-04-24 00:00:00+00:00: Pearson Correlation: 0.696724629857\n", "2013-04-25 00:00:00+00:00: Pearson Correlation: 0.829059086718\n", "2013-04-26 00:00:00+00:00: Pearson Correlation: -0.0460241057536\n", "2013-04-29 00:00:00+00:00: Pearson Correlation: 0.405794075795\n", "2013-04-30 00:00:00+00:00: Pearson Correlation: 0.707738144101\n", "2013-05-01 00:00:00+00:00: Pearson Correlation: 0.859529936421\n", "2013-05-02 00:00:00+00:00: Pearson Correlation: 0.964752298038\n", "2013-05-02 00:00:00+00:00: Selling 100 AAPL shares.\n", "2013-05-02 00:00:00+00:00: Selling 100 GOOG shares.\n", "2013-05-03 00:00:00+00:00: Pearson Correlation: 0.838557400323\n", "2013-05-06 00:00:00+00:00: Pearson Correlation: 0.985339456603\n", "2013-05-06 00:00:00+00:00: Selling 100 AAPL shares.\n", "2013-05-06 00:00:00+00:00: Selling 100 GOOG shares.\n", "2013-05-07 00:00:00+00:00: Pearson Correlation: 0.987890482366" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "[2013-06-04 16:48] INFO: Performance: Simulated 128 trading days out of 128.\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "[2013-06-04 16:48] INFO: Performance: first open: 2012-11-01 13:30:00+00:00\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "[2013-06-04 16:48] INFO: Performance: last close: 2013-05-07 20:00:00+00:00\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "2013-05-07 00:00:00+00:00: Buying 100 AAPL shares.\n", "2013-05-07 00:00:00+00:00: Buying 100 GOOG shares.\n" ] } ], "prompt_number": 23 }, { "cell_type": "markdown", "metadata": {}, "source": [ "###Graphical analysis of its performance:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize(18,12), dpi=1600)\n", "ax1 = plt.subplot(411)\n", "(data.SPX.pct_change() - data.SPX.pct_change()).plot()\n", "(data.GOOG.pct_change() - data.SPX.pct_change()).plot(label='GOOG')\n", "(data.AAPL.pct_change() - data.SPX.pct_change()).plot(label='AAPL')\n", "plt.ylabel('Daily Return')\n", "legend(loc='best')\n", "plt.title(\"Adj Closing Prices adjusted for S&P movements\")\n", "plt.setp(ax2.get_xticklabels(), visible=False)\n", "\n", "GOOG_AAPL_COR_V_SP500.buy_orders = np.asarray(GOOG_AAPL_COR_V_SP500.buy_orders)\n", "GOOG_AAPL_COR_V_SP500.sell_orders = np.asarray(GOOG_AAPL_COR_V_SP500.sell_orders)\n", "plt.title(\"GOOG_AAPL_COR_V_SP500 Results\")\n", "\n", "ax2 = plt.subplot(412, sharex=ax1)\n", "plt.plot(GOOG_AAPL_COR_V_SP500.buy_orders[:,0], GOOG_AAPL_COR_V_SP500.buy_orders[:,1], color = 'r')\n", "plt.plot(GOOG_AAPL_COR_V_SP500.sell_orders[:,0], GOOG_AAPL_COR_V_SP500.sell_orders[:,1], color = 'g')\n", "plt.plot(GOOG_AAPL_COR_V_SP500.buy_orders[:,0], GOOG_AAPL_COR_V_SP500.buy_orders[:,1], '^', c='g', markersize=10, label='buy')\n", "plt.plot(GOOG_AAPL_COR_V_SP500.sell_orders[:,0], GOOG_AAPL_COR_V_SP500.sell_orders[:,1], 'v', c='r', markersize=10, label='sell')\n", "plt.ylabel('P-Value')\n", "plt.grid(b=True)\n", "plt.setp(ax1.get_xticklabels(), visible=False)\n", "plt.legend()\n", "\n", "ax3 = plt.subplot(413, sharex=ax1)\n", "results_GOOG_AAPL_COR_V_SP500.portfolio_value.plot()\n", "plt.setp(ax3.get_xticklabels(), visible=False)\n", "plt.ylabel('Portfolio Value')\n", "plt.legend(loc='best')\n", "\n", "ax4 = plt.subplot(414, sharex=ax1)\n", "results_GOOG_AAPL_COR_V_SP500.portfolio_value.pct_change().plot()\n", "plt.ylabel('Portfolio % Change')\n", "plt.legend()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 24, "text": [ "" ] }, { "output_type": "display_data", "png": 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6sFevXpw4caLez75jxw4WL16c1tbWnDt3Ljdu3Kj7/A4ODhwxYgSTkpIMOexCCCFEukxI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\n28bo+GhOOzKNtrNtufbi2tfeV1xiHH8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5fUWH7x+mpmuaUqsNrd6df+SHVCoyuDw9RdaX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ye/duBg8ezNmzZ6latWoR/hWEEEIIUdZ99JH6IWHv3rJTQNPZWX0MHKgu6/UQGQlHjqiPjRsh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h06hGnTpiE4OBgA0pIfEydOTJunbdu2mDdvHho1apRlG6yxQURE9vDqq1Jro0oVYMMGZ7eG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\nAElFTkSuQmCC\n" } ], "prompt_number": 24 }, { "cell_type": "code", "collapsed": false, "input": [ "results_GOOG_AAPL_COR_V_SP500.portfolio_value.describe()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 25, "text": [ "count 128.000000\n", "mean 1049060.489758\n", "std 34297.592741\n", "min 996340.932000\n", "25% 1012934.820750\n", "50% 1065813.657000\n", "75% 1078932.381000\n", "max 1095169.828000\n", "dtype: float64" ] } ], "prompt_number": 25 }, { "cell_type": "code", "collapsed": false, "input": [ "results_GOOG_AAPL_COR_V_SP500.portfolio_value.pct_change().apply(lambda x: x * 100).describe()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 26, "text": [ "count 127.000000\n", "mean 0.067915\n", "std 0.466537\n", "min -1.068730\n", "25% -0.183413\n", "50% 0.020627\n", "75% 0.190214\n", "max 3.172896\n", "dtype: float64" ] } ], "prompt_number": 26 }, { "cell_type": "code", "collapsed": false, "input": [ "# Plot the distribution of the returns\n", "fig = plt.figure(figsize(8,4))\n", "results_GOOG_AAPL_COR_V_SP500.portfolio_value.pct_change().dropna().plot(kind='kde')\n", "plt.xlabel=('Returns')\n", "title(\"The Distribution of the Returns for\\nGOOG_AAPL_COR_V_SP500\")" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 27, "text": [ "" ] }, { "output_type": "display_data", "png": 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g8/l5uMxlLsuznJycjOXLlwOAtt4Zg0lH46empiI6Ohq//vorAMDNzQ35+fna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\n2DEAQK9evfDrr7/KEmAN9tm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} ], "prompt_number": 27 }, { "cell_type": "markdown", "metadata": {}, "source": [ "###The Results:\n", "\n", "Our algorithm performed well. The portfolio ending value was approximately $1,088,569.669, thus our algorithm returned approximately 8.86% in just 128 days of trading. If we assume this performance for the rest of the year the algorithm would return 17.60%. Not too shabby. During our simulation the returns had a standard deviation of only 0.466%, meaning that it remained relatively low in its generation of alpha. Its greatest single day drawdown was only 1.068%, on its best day it returned 3.173%.\n", "\n", "### Can we do better? Let\u2019s optimize the number of shares we order and use leverage:\n", "\n", "Before we were only allowing our algorithm to trade 100 shares of either stock. Now, let\u2019s let it trade as many shares as it\u2019s able.\n", "\n", "The secret sauce is this version is this line of code for Google and Apple respectively: \n", "\n", " self.trade_size_aapl = round(((self.capital_base * 0.75) / float(self.pricea)))\n", " self.trade_size_goog = round(((self.capital_base * 0.75) / float(self.priceg)))\n", "\n", "This code allows the algorithm to fully utilize its assets under management by dividing the total sum of money allocated to the stock, (0.75% of our captial base) by the stock\u2019s price to yield the maximum number of shares it can order. We constrain the allocation to 75% of assets under management with, `self.capital_base * 0.75`. Setting both stocks under this constraint allows it to be 150% long or short if two instances of Apple and Google are bought or sold, thus allowing the algorithm to trade on margin. \n", "\n", "The algorithm is constrained to the standard 50% margin requirements by these additions to the decision logic:\n", " \n", " and self.orders < (2) # for buy orders\n", " and self.orders > (-2) # for sell orders\n", "\n", "`self.orders`'s value is tracked by adding a counter for every buy order and removing one for every sell order. This constrains the algorithm to a maximum of 2 orders in any direction and keeps it with in its margin allowance.\n", "\n", "Until now our algorithms have been missing two key features of accurately simulating the performance of a trading strategy; slippage and commission. Because we are now trading with relatively large order sizes compared to our initial orders of 100 shares, (our new algorithm trades with fluctuating order sizes of over 1100 shares), we have to model the effect these larger orders may have on the market. At a very high level, price is a function of the quantity supplied and the quantity demanded. If large enough {buy, sell} orders are placed, they will cause a {shortage, surplus} in the market for that security thus {raising, lowering} its price. The effect of shifting the market price of a stock with large orders is called slippage, and so is a necessary component in simulating realistic performance. All of the previous algorithms assume that we can buy and sell the stocks for free, but sadly this isn\u2019t the case for most of us. To model this transaction cost we will assume a fee of $9.99 per trade, as this is the current price for a standard retail account for many of the popular online brokers at the time of writing. This commission fee is effectively a tax on our returns and so its effect needs to be modeled if we want realistic results. The code to incorporate these features into our algorithm is shown below. \n", "\n", " # set slippage in our model, as a function of our trade size and the average trading\n", " # volume at the time of the trade\n", " self.set_slippage(slippage.VolumeShareSlippage(volume_limit=0.25, price_impact=0.1))\n", " \n", " #set commission $9.99 per trade. Cost per trade at TD Ameritrade at time of writing. \n", " self.set_commission(commission.PerTrade(cost=9.99))\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "class GOOG_AAPL_COR_V_SP500_Optimized(TradingAlgorithm): # inherit from TradingAlgorithm\n", " \"\"\"\n", " Google Apple Correlation algorithm adjusted for movements in the S&P500.\n", "\n", " An algorithm designed to exploit the correlation in the movement of Apple's and \n", " Google's common stock. \n", " \"\"\"\n", " # need to add notional tollerances\n", " def initialize(self):\n", " self.capital_base = 1000000\n", " self.pricea = 0\n", " self.priceg = 0\n", " self.pricespx = 0\n", " self.trade_size_aapl = 0\n", " self.trade_size_goog = 0 \n", " self.window_length = 5 \n", " self.corr_tolerance = 0.9\n", " self.max_notional = self.capital_base + 0.1\n", " self.min_notional = self.capital_base * (-1) \n", " self.pricealag = 0\n", " self.priceglag = 0\n", " self.pricespxlag = 0\n", " self.buy_orders = []\n", " self.sell_orders = [] \n", " self.corr_values_aapl = []\n", " self.corr_values_goog = []\n", " self.orders = 0\n", " \n", " # set slippage in our model, as a function of our trade size and the average trading\n", " # volume at the time of the trade\n", " self.set_slippage(slippage.VolumeShareSlippage(volume_limit=0.25, price_impact=0.1))\n", " \n", " #set commission $9.99 per trade. Cost per trade at TD Ameritrade at time of writing. \n", " self.set_commission(commission.PerTrade(cost=9.99))\n", " \n", " def handle_data(self, data):\n", " self.pricea = data.AAPL.price \n", " self.priceg = data.GOOG.price \n", " self.pricespx = data.SPX.price\n", " \n", " # calculate trade size\n", " self.trade_size_aapl = round(((self.capital_base * 0.75) / float(self.pricea)))\n", " self.trade_size_goog = round(((self.capital_base * 0.75) / float(self.priceg)))\n", "\n", " # find percent change and substract movements from SPX\n", " aapl_mov, goog_mov = self.spx_adjust(\n", " data, self.pricea, self.priceg, self.pricespx, \n", " self.pricealag, self.priceglag, self.pricespxlag\n", " )\n", "\n", " # calculate the correlation between the stocks\n", " corr, pval = self.correlation(data, self.pricea, self.priceg)\n", " print str(data.AAPL.datetime) + ': Pearson Correlation: ' + str(corr)\n", "\n", " #notional = self.portfolio.positions[data.AAPL].amount * pricea\n", " #notional = notional + self.portfolio.positions[data.GOOG].amount * priceg \n", "\n", " # Decision Logic\n", " if goog_mov < 0 and np.abs(corr) > self.corr_tolerance and self.orders > (-2):\n", " self.order('AAPL',-(self.trade_size_aapl))\n", " self.sell_orders.append((data.AAPL.datetime, pval))\n", " self.orders -= 1\n", " print \"{dt}: Selling {ts} AAPL shares.\".format(dt = data.AAPL.datetime, ts = self.trade_size_aapl)\n", " elif goog_mov > 0 and np.abs(corr) > self.corr_tolerance and self.orders < (2):\n", " self.order('AAPL',(self.trade_size_aapl))\n", " self.buy_orders.append((data.AAPL.datetime, pval))\n", " self.orders += 1\n", " print \"{dt}: Buying {ts} AAPL shares.\".format(dt = data.AAPL.datetime, ts = self.trade_size_aapl)\n", "\n", " if aapl_mov < 0 and np.abs(corr) > self.corr_tolerance and np.abs(self.orders) > (-2):\n", " self.order('GOOG',-(self.trade_size_goog))\n", " self.sell_orders.append((data.GOOG.datetime, pval))\n", " self.orders -= 1\n", " print \"{dt}: Selling {ts} GOOG shares.\".format(dt = data.GOOG.datetime, ts = self.trade_size_goog)\n", " elif aapl_mov > 0 and np.abs(corr) > self.corr_tolerance and np.abs(self.orders) < (2):\n", " self.order('GOOG', self.trade_size_goog)\n", " self.buy_orders.append((data.GOOG.datetime, pval)) \n", " self.orders += 1\n", " print \"{dt}: Buying {ts} GOOG shares.\".format(dt = data.GOOG.datetime, ts = self.trade_size_goog)\n", "\n", " # lag price variables \n", " self.pricealag = data.AAPL.price\n", " self.priceglag = data.GOOG.price\n", " self.pricespxlag = data.SPX.price\n", "\n", " def correlation(self, data, pricea, priceg):\n", " self.corr_values_aapl.append(pricea)\n", " self.corr_values_goog.append(priceg)\n", " corr = pearsonr(self.corr_values_aapl[-self.window_length:], self.corr_values_goog[-self.window_length:]) \n", " return corr\n", "\n", " def per_change(self, data, begin, end):\n", " percent_change = ((end - begin)/begin)\n", " return percent_change\n", " \n", " def spx_adjust(self, data, pricea, priceg, pricespx, pricealag, priceglag, pricespxlag):\n", " spx_change = self.per_change(data, pricespx, self.pricespxlag)\n", " aapl_change = (self.per_change(data, pricea, self.pricealag) - spx_change)\n", " goog_change = (self.per_change(data, priceg, self.priceglag) - spx_change)\n", " return (aapl_change, goog_change)\n", " " ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 28 }, { "cell_type": "code", "collapsed": false, "input": [ "GOOG_AAPL_COR_V_SP500_Optimized = GOOG_AAPL_COR_V_SP500_Optimized()\n", "results_GOOG_AAPL_COR_V_SP500_Optimized = GOOG_AAPL_COR_V_SP500_Optimized.run(data)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "2012-11-01 00:00:00+00:00: Pearson Correlation: nan\n", "2012-11-02 00:00:00+00:00: Pearson Correlation: -1.0\n", "2012-11-02 00:00:00+00:00: Selling 1314.0 AAPL shares.\n", "2012-11-02 00:00:00+00:00: Buying 1090.0 GOOG shares.\n", "2012-11-05 00:00:00+00:00: Pearson Correlation: 0.059824040231\n", "2012-11-06 00:00:00+00:00: Pearson Correlation: 0.174659180436\n", "2012-11-07 00:00:00+00:00: Pearson Correlation: 0.824233785309\n", "2012-11-08 00:00:00+00:00: Pearson Correlation: 0.952297709192\n", "2012-11-08 00:00:00+00:00: Buying 1403.0 AAPL shares.\n", "2012-11-08 00:00:00+00:00: Buying 1150.0 GOOG shares.\n", "2012-11-09 00:00:00+00:00: Pearson Correlation: 0.991554650251\n", "2012-11-09 00:00:00+00:00: Selling 1379.0 AAPL shares.\n", "2012-11-09 00:00:00+00:00: Selling 1131.0 GOOG shares.\n", "2012-11-12 00:00:00+00:00: Pearson Correlation: 0.929368022202\n", "2012-11-12 00:00:00+00:00: Selling 1390.0 AAPL shares.\n", "2012-11-12 00:00:00+00:00: Buying 1126.0 GOOG shares.\n", "2012-11-13 00:00:00+00:00: Pearson Correlation: 0.757576476824\n", "2012-11-14 00:00:00+00:00: Pearson Correlation: 0.845836369332\n", "2012-11-15 00:00:00+00:00: Pearson Correlation: 0.904363385855\n", "2012-11-15 00:00:00+00:00: Buying 1435.0 AAPL shares.\n", "2012-11-15 00:00:00+00:00: Buying 1159.0 GOOG shares.\n", "2012-11-16 00:00:00+00:00: Pearson Correlation: 0.919167495476\n", "2012-11-19 00:00:00+00:00: Pearson Correlation: 0.98644535697\n", "2012-11-19 00:00:00+00:00: Selling 1333.0 AAPL shares.\n", "2012-11-19 00:00:00+00:00: Selling 1122.0 GOOG shares.\n", "2012-11-20 00:00:00+00:00: Pearson Correlation: 0.988017374005\n", "2012-11-20 00:00:00+00:00: Selling 1345.0 AAPL shares.\n", "2012-11-20 00:00:00+00:00: Buying 1119.0 GOOG shares.\n", "2012-11-21 00:00:00+00:00: Pearson Correlation: 0.98614541901\n", "2012-11-21 00:00:00+00:00: Buying 1343.0 AAPL shares.\n", "2012-11-21 00:00:00+00:00: Buying 1126.0 GOOG shares.\n", "2012-11-23 00:00:00+00:00: Pearson Correlation: 0.956502301266\n", "2012-11-23 00:00:00+00:00: Selling 1123.0 GOOG shares.\n", "2012-11-26 00:00:00+00:00: Pearson Correlation: -0.850795924042\n", "2012-11-27 00:00:00+00:00: Pearson Correlation: -0.388234458157\n", "2012-11-28 00:00:00+00:00: Pearson Correlation: 0.132856328942\n", "2012-11-29 00:00:00+00:00: Pearson Correlation: 0.244364901771\n", "2012-11-30 00:00:00+00:00: Pearson Correlation: -0.233575324747\n", "2012-12-03 00:00:00+00:00: Pearson Correlation: 0.394085687777\n", "2012-12-04 00:00:00+00:00: Pearson Correlation: 0.281478815016\n", "2012-12-05 00:00:00+00:00: Pearson Correlation: 0.738307236796\n", "2012-12-06 00:00:00+00:00: Pearson Correlation: 0.840028399437\n", "2012-12-07 00:00:00+00:00: Pearson Correlation: 0.87515944915\n", "2012-12-10 00:00:00+00:00: Pearson Correlation: 0.793381038641\n", "2012-12-11 00:00:00+00:00: Pearson Correlation: 0.699662917774\n", "2012-12-12 00:00:00+00:00: Pearson Correlation: 0.61994502866\n", "2012-12-13 00:00:00+00:00: Pearson Correlation: 0.269620004501\n", "2012-12-14 00:00:00+00:00: Pearson Correlation: -0.279590717582\n", "2012-12-17 00:00:00+00:00: Pearson Correlation: -0.546140037064" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "2012-12-18 00:00:00+00:00: Pearson Correlation: -0.0881216339673\n", "2012-12-19 00:00:00+00:00: Pearson Correlation: 0.403905418053\n", "2012-12-20 00:00:00+00:00: Pearson Correlation: 0.755250505131\n", "2012-12-21 00:00:00+00:00: Pearson Correlation: 0.339476408109\n", "2012-12-24 00:00:00+00:00: Pearson Correlation: 0.549057229948\n", "2012-12-26 00:00:00+00:00: Pearson Correlation: 0.739033938857\n", "2012-12-27 00:00:00+00:00: Pearson Correlation: 0.744796824599\n", "2012-12-28 00:00:00+00:00: Pearson Correlation: 0.821945371289\n", "2012-12-31 00:00:00+00:00: Pearson Correlation: 0.466884246454\n", "2013-01-02 00:00:00+00:00: Pearson Correlation: 0.876920310513\n", "2013-01-03 00:00:00+00:00: Pearson Correlation: 0.927515534537\n", "2013-01-03 00:00:00+00:00: Selling 1392.0 AAPL shares.\n", "2013-01-03 00:00:00+00:00: Buying 1036.0 GOOG shares.\n", "2013-01-04 00:00:00+00:00: Pearson Correlation: 0.494477226709\n", "2013-01-07 00:00:00+00:00: Pearson Correlation: -0.387391976151\n", "2013-01-08 00:00:00+00:00: Pearson Correlation: -0.927721502534\n", "2013-01-08 00:00:00+00:00: Selling 1436.0 AAPL shares.\n", "2013-01-08 00:00:00+00:00: Selling 1023.0 GOOG shares.\n", "2013-01-09 00:00:00+00:00: Pearson Correlation: -0.909803583801\n", "2013-01-09 00:00:00+00:00: Selling 1459.0 AAPL shares.\n", "2013-01-10 00:00:00+00:00: Pearson Correlation: -0.233228339811\n", "2013-01-11 00:00:00+00:00: Pearson Correlation: -0.446151532632\n", "2013-01-14 00:00:00+00:00: Pearson Correlation: 0.806202475541\n", "2013-01-15 00:00:00+00:00: Pearson Correlation: 0.907783047386\n", "2013-01-16 00:00:00+00:00: Pearson Correlation: 0.696926220586\n", "2013-01-17 00:00:00+00:00: Pearson Correlation: 0.442689440196\n", "2013-01-18 00:00:00+00:00: Pearson Correlation: -0.496565907528\n", "2013-01-22 00:00:00+00:00: Pearson Correlation: -0.717758128217\n", "2013-01-23 00:00:00+00:00: Pearson Correlation: 0.91836915185\n", "2013-01-23 00:00:00+00:00: Selling 1011.0 GOOG shares.\n", "2013-01-24 00:00:00+00:00: Pearson Correlation: -0.601692961309\n", "2013-01-25 00:00:00+00:00: Pearson Correlation: -0.703340810332\n", "2013-01-28 00:00:00+00:00: Pearson Correlation: -0.708631151794\n", "2013-01-29 00:00:00+00:00: Pearson Correlation: -0.942863822082\n", "2013-01-29 00:00:00+00:00: Buying 1646.0 AAPL shares.\n", "2013-01-29 00:00:00+00:00: Selling 995.0 GOOG shares.\n", "2013-01-30 00:00:00+00:00: Pearson Correlation: 0.105071788809\n", "2013-01-31 00:00:00+00:00: Pearson Correlation: 0.267677939369\n", "2013-02-01 00:00:00+00:00: Pearson Correlation: -0.0734603761372\n", "2013-02-04 00:00:00+00:00: Pearson Correlation: -0.199311330537" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "2013-02-05 00:00:00+00:00: Pearson Correlation: 0.0510478602377\n", "2013-02-06 00:00:00+00:00: Pearson Correlation: 0.353566175356\n", "2013-02-07 00:00:00+00:00: Pearson Correlation: 0.693378247595\n", "2013-02-08 00:00:00+00:00: Pearson Correlation: 0.952514956078\n", "2013-02-08 00:00:00+00:00: Selling 955.0 GOOG shares.\n", "2013-02-11 00:00:00+00:00: Pearson Correlation: 0.922284099348\n", "2013-02-11 00:00:00+00:00: Buying 1563.0 AAPL shares.\n", "2013-02-11 00:00:00+00:00: Selling 959.0 GOOG shares.\n", "2013-02-12 00:00:00+00:00: Pearson Correlation: 0.855718558992\n", "2013-02-13 00:00:00+00:00: Pearson Correlation: 0.442512222602\n", "2013-02-14 00:00:00+00:00: Pearson Correlation: -0.15909805662\n", "2013-02-15 00:00:00+00:00: Pearson Correlation: -0.660823444996\n", "2013-02-19 00:00:00+00:00: Pearson Correlation: -0.873349113446\n", "2013-02-20 00:00:00+00:00: Pearson Correlation: -0.373572157847\n", "2013-02-21 00:00:00+00:00: Pearson Correlation: -0.101445899412\n", "2013-02-22 00:00:00+00:00: Pearson Correlation: 0.398375188553\n", "2013-02-25 00:00:00+00:00: Pearson Correlation: 0.935757136186\n", "2013-02-25 00:00:00+00:00: Selling 948.0 GOOG shares.\n", "2013-02-26 00:00:00+00:00: Pearson Correlation: 0.488289511759\n", "2013-02-27 00:00:00+00:00: Pearson Correlation: 0.236926672758\n", "2013-02-28 00:00:00+00:00: Pearson Correlation: -0.134727207432\n", "2013-03-01 00:00:00+00:00: Pearson Correlation: -0.800766068617\n", "2013-03-04 00:00:00+00:00: Pearson Correlation: -0.966418239347\n", "2013-03-05 00:00:00+00:00: Pearson Correlation: -0.612146269391\n", "2013-03-06 00:00:00+00:00: Pearson Correlation: -0.523858670059\n", "2013-03-07 00:00:00+00:00: Pearson Correlation: 0.128313159843\n", "2013-03-08 00:00:00+00:00: Pearson Correlation: 0.856768169064\n", "2013-03-11 00:00:00+00:00: Pearson Correlation: 0.37064308425\n", "2013-03-12 00:00:00+00:00: Pearson Correlation: 0.694439233109\n", "2013-03-13 00:00:00+00:00: Pearson Correlation: 0.848864875018\n", "2013-03-14 00:00:00+00:00: Pearson Correlation: 0.583850851016\n", "2013-03-15 00:00:00+00:00: Pearson Correlation: -0.382247521161\n", "2013-03-18 00:00:00+00:00: Pearson Correlation: -0.986326278298\n", "2013-03-18 00:00:00+00:00: Buying 1646.0 AAPL shares.\n", "2013-03-18 00:00:00+00:00: Selling 928.0 GOOG shares.\n", "2013-03-19 00:00:00+00:00: Pearson Correlation: -0.982469497378\n", "2013-03-20 00:00:00+00:00: Pearson Correlation: -0.916359799195\n", "2013-03-20 00:00:00+00:00: Buying 1659.0 AAPL shares.\n", "2013-03-21 00:00:00+00:00: Pearson Correlation: -0.69849547277" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "2013-03-22 00:00:00+00:00: Pearson Correlation: -0.483088392126\n", "2013-03-25 00:00:00+00:00: Pearson Correlation: -0.769950032764\n", "2013-03-26 00:00:00+00:00: Pearson Correlation: -0.692494102481\n", "2013-03-27 00:00:00+00:00: Pearson Correlation: 0.534907310429\n", "2013-03-28 00:00:00+00:00: Pearson Correlation: 0.973183362731\n", "2013-03-28 00:00:00+00:00: Buying 1694.0 AAPL shares.\n", "2013-04-01 00:00:00+00:00: Pearson Correlation: 0.726670249705\n", "2013-04-02 00:00:00+00:00: Pearson Correlation: 0.143611794748\n", "2013-04-03 00:00:00+00:00: Pearson Correlation: -0.465442720063\n", "2013-04-04 00:00:00+00:00: Pearson Correlation: -0.395440571443\n", "2013-04-05 00:00:00+00:00: Pearson Correlation: 0.888941897899\n", "2013-04-08 00:00:00+00:00: Pearson Correlation: 0.799236827344\n", "2013-04-09 00:00:00+00:00: Pearson Correlation: 0.759685868182\n", "2013-04-10 00:00:00+00:00: Pearson Correlation: 0.457328874099\n", "2013-04-11 00:00:00+00:00: Pearson Correlation: 0.780718813282\n", "2013-04-12 00:00:00+00:00: Pearson Correlation: 0.863304390263\n", "2013-04-15 00:00:00+00:00: Pearson Correlation: 0.724997330538\n", "2013-04-16 00:00:00+00:00: Pearson Correlation: 0.623692113603\n", "2013-04-17 00:00:00+00:00: Pearson Correlation: 0.744004178512\n", "2013-04-18 00:00:00+00:00: Pearson Correlation: 0.894304567757\n", "2013-04-19 00:00:00+00:00: Pearson Correlation: 0.204682970752\n", "2013-04-22 00:00:00+00:00: Pearson Correlation: 0.203268615806\n", "2013-04-23 00:00:00+00:00: Pearson Correlation: 0.408273152978\n", "2013-04-24 00:00:00+00:00: Pearson Correlation: 0.696724629857\n", "2013-04-25 00:00:00+00:00: Pearson Correlation: 0.829059086718\n", "2013-04-26 00:00:00+00:00: Pearson Correlation: -0.0460241057536\n", "2013-04-29 00:00:00+00:00: Pearson Correlation: 0.405794075795\n", "2013-04-30 00:00:00+00:00: Pearson Correlation: 0.707738144101\n", "2013-05-01 00:00:00+00:00: Pearson Correlation: 0.859529936421\n", "2013-05-02 00:00:00+00:00: Pearson Correlation: 0.964752298038\n", "2013-05-02 00:00:00+00:00: Selling 904.0 GOOG shares.\n", "2013-05-03 00:00:00+00:00: Pearson Correlation: 0.838557400323\n", "2013-05-06 00:00:00+00:00: Pearson Correlation: 0.985339456603\n", "2013-05-06 00:00:00+00:00: Selling 871.0 GOOG shares.\n", "2013-05-07 00:00:00+00:00: Pearson Correlation: 0.987890482366" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "[2013-06-04 16:48] INFO: Performance: Simulated 128 trading days out of 128.\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "[2013-06-04 16:48] INFO: Performance: first open: 2012-11-01 13:30:00+00:00\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "[2013-06-04 16:48] INFO: Performance: last close: 2013-05-07 20:00:00+00:00\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "2013-05-07 00:00:00+00:00: Buying 1635.0 AAPL shares.\n" ] } ], "prompt_number": 29 }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize(18,12), dpi=1600)\n", "plt.title(\"GOOG_AAPL_COR_V_SP500_Optimized Results\")\n", "\n", "# plot 1 \n", "ax1 = plt.subplot(411)\n", "(data.SPX.pct_change() - data.SPX.pct_change()).plot()\n", "(data.GOOG.pct_change() - data.SPX.pct_change()).plot(label='GOOG')\n", "(data.AAPL.pct_change() - data.SPX.pct_change()).plot(label='AAPL')\n", "plt.ylabel(\"Daily Return\")\n", "legend(loc='best')\n", "plt.setp(ax2.get_xticklabels(), visible=False)\n", "\n", "# prepare data for plot 2\n", "GOOG_AAPL_COR_V_SP500_Optimized.buy_orders = np.asarray(GOOG_AAPL_COR_V_SP500_Optimized.buy_orders)\n", "GOOG_AAPL_COR_V_SP500_Optimized.sell_orders = np.asarray(GOOG_AAPL_COR_V_SP500_Optimized.sell_orders)\n", "\n", "# plot 2\n", "ax2 = plt.subplot(412, sharex=ax1)\n", "plt.plot(GOOG_AAPL_COR_V_SP500_Optimized.buy_orders[:,0], GOOG_AAPL_COR_V_SP500_Optimized.buy_orders[:,1], color = 'g')\n", "plt.plot(GOOG_AAPL_COR_V_SP500_Optimized.sell_orders[:,0], GOOG_AAPL_COR_V_SP500_Optimized.sell_orders[:,1], color = 'r')\n", "plt.plot(GOOG_AAPL_COR_V_SP500_Optimized.buy_orders[:,0], GOOG_AAPL_COR_V_SP500_Optimized.buy_orders[:,1], '^', c='g', markersize=10, label='buy')\n", "plt.plot(GOOG_AAPL_COR_V_SP500_Optimized.sell_orders[:,0], GOOG_AAPL_COR_V_SP500_Optimized.sell_orders[:,1], 'v', c='r', markersize=10, label='sell')\n", "plt.ylabel('P-Value')\n", "plt.grid(b=True)\n", "plt.setp(ax1.get_xticklabels(), visible=False)\n", "plt.legend()\n", "\n", "# plot 3\n", "ax3 = plt.subplot(413, sharex=ax1)\n", "results_GOOG_AAPL_COR_V_SP500_Optimized.portfolio_value.plot()\n", "plt.setp(ax3.get_xticklabels(), visible=False)\n", "plt.ylabel('Portfolio Value')\n", "plt.legend(loc='best')\n", "\n", "# plot 4\n", "ax4 = plt.subplot(414, sharex=ax1)\n", "results_GOOG_AAPL_COR_V_SP500_Optimized.portfolio_value.pct_change().plot()\n", "plt.ylabel('Portfolio % Change')\n", "plt.legend()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 30, "text": [ "" ] }, { "output_type": "display_data", "png": 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h4ZFuNxRAvTp18uTJuHv3LjQaDZ4+fYpVq1ahZs2a6a5748YNXLlyBYmJiYiMjMSoUaPg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\neENONipQCZquiPJf5nSdw6JTi3LtC11AfB4LtE1p2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4oVsGmTNl22bVs4cMBgfTJnsbdi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JNCixYUJOegRvHIZHTDMr979yijo21bKvfooV1XlIQEGttn5kwpa8mKS9KMjY4dO2Lx4sXo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\nzRp27drFa6+9xsaNG9mwYQPx8fFs3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} ], "prompt_number": 30 }, { "cell_type": "code", "collapsed": false, "input": [ "results_GOOG_AAPL_COR_V_SP500_Optimized.portfolio_value.describe()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 31, "text": [ "count 128.000000\n", "mean 1092447.654194\n", "std 61774.921741\n", "min 973494.685625\n", "25% 1041830.935625\n", "50% 1129349.983065\n", "75% 1147683.571250\n", "max 1173102.198750\n", "dtype: float64" ] } ], "prompt_number": 31 }, { "cell_type": "code", "collapsed": false, "input": [ "results_GOOG_AAPL_COR_V_SP500_Optimized.portfolio_value.pct_change().apply(lambda x: x * 100).describe()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 32, "text": [ "count 127.000000\n", "mean 0.109009\n", "std 1.040242\n", "min -2.956030\n", "25% -0.293096\n", "50% 0.012775\n", "75% 0.464028\n", "max 8.133918\n", "dtype: float64" ] } ], "prompt_number": 32 }, { "cell_type": "code", "collapsed": false, "input": [ "# Plot the distribution of the returns\n", "fig = plt.figure(figsize(8,4))\n", "results_GOOG_AAPL_COR_V_SP500_Optimized.portfolio_value.pct_change().dropna().plot(kind='kde')\n", "plt.xlabel=('Returns')\n", "title(\"The Distribution of the Returns for\\nGOOG_AAPL_COR_V_SP500_Optimized\")" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 33, "text": [ "" ] }, { "output_type": "display_data", "png": 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X7ddXrgRWrwa++848cRGRZeOYOpEFSkkBevas+3q/ftKVOv9WJSI5sajbKI6R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\n5N1tCtuy/Jhj66HzSj0sLAz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gzXGMrLJSWj1t+nSgUydpcZmjR81X0C0xxw8/DNxxB/DG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\nJljUiYiImgkWdSIiombi/wH+HFI1t3IoBAAAAABJRU5ErkJggg==\n" } ], "prompt_number": 33 }, { "cell_type": "markdown", "metadata": {}, "source": [ "###The Results: \n", "\n", "Our algorithm performed well. It finished the 128 days of trading with a portfolio value of $1,140,775.184 million dollars, a return of 14.10%. On its single greatest day it retuned 8.133% and on its worst; it had a drawdown of 2.95%. On average it returned 0.109% a day, just about a 10th of a percent. The standard deviation of our returns was a mere 1.04%; meaning that despite the additional leverage, and so increased volatility, it remained a relatively low volatility generator of alpha. If this performance is assumed throughout the rest of the year, the algorithm would return would be 28.20%. This would greatly outpace the market and would have a superior risk profile, with regards to volatility, for the average investor\n", "\n", "###Aggregated performance between models:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize(18,8), dpi=1600)\n", "ax1 = plt.subplot(211)\n", "results_GOOG_AAPL_COR.portfolio_value.plot(label='GOOG_AAPL_COR')\n", "results_GOOG_AAPL_COR_V_SP500.portfolio_value.plot(label='GOOG_AAPL_COR_V_SP500')\n", "results_GOOG_AAPL_COR_V_SP500_Optimized.portfolio_value.plot(label='GOOG_AAPL_COR_V_SP500_Optimized')\n", "plt.setp(ax3.get_xticklabels(), visible=False)\n", "plt.ylabel('Portfolio Value')\n", "plt.legend(loc='best')\n", "plt.title('Aggreated Performance')\n", "\n", "ax1 = plt.subplot(212, sharex=ax1)\n", "results_GOOG_AAPL_COR.portfolio_value.pct_change().plot(label='GOOG_AAPL_COR')\n", "results_GOOG_AAPL_COR_V_SP500.portfolio_value.pct_change().plot(label='GOOG_AAPL_COR_V_SP500')\n", "results_GOOG_AAPL_COR_V_SP500_Optimized.portfolio_value.pct_change().plot(label='GOOG_AAPL_COR_V_SP500_Optimized')\n", "plt.ylabel('Portfolio % Change')\n", "plt.legend(loc='best')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 34, "text": [ "" ] }, { "output_type": "display_data", "png": 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+2nEYqwx//000caJ4bzVoQPTVV0QREeJ9URVUKqJly4jq1hX1+fJLohMnxPud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lFVCi8P8hoqM5ZbhpU6BnTzZAt5j/xOxjB6CzpyWa2jbDXu+9+JH6I/ucqKQo1Leqj6cRuSy8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} ], "prompt_number": 34 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Version Control " ] }, { "cell_type": "code", "collapsed": false, "input": [ "!git add \"GOOG V. AAPL Correlation Arb\".ipynb" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 37 }, { "cell_type": "code", "collapsed": false, "input": [ "!git commit" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "[master 9dfb70a] added KDEs to results analysis\n", " 1 file changed, 181 insertions(+), 142 deletions(-)\n" ] } ], "prompt_number": 38 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 36 } ], "metadata": {} } ] }