{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Value Added by Employee as a Trading Signal\n", "By John Loeber\n", "\n", "Notebook released under the Creative Commons Attribution 4.0 License.\n", "\n", "---\n", "\n", "### Abstract\n", "\n", "We attempt to define a metric for how efficiently companies use their employees, and investigate whether we can use this metric as a trading signal.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "### Introduction\n", "\n", "Facebook currently has 10,082 employees with a \\$245 billion market cap. Dividing the market cap by the employee count, we get a valuation of about \\$24 million per employee. While this is a crude-at-best representation of the average value added by an employee, it intuitively indicates two things:\n", "1. Facebook has many highly valuable employees\n", "2. Facebook is an efficiently run business.\n", "\n", "A company with many talented employees should find it comparatively easier to create value, and a business being efficiently run means that it has minimal bloat and should therefore be more nimble in response to changing markets. Thus, I conjecture that in the long run, **companies that score high by some measure of *value added by employee* ($V$) should outperform other companies**.\n", "\n", "### Defining Metrics\n", "\n", "We want to investigate if some representation of $V$ is viable as a trading signal. Before we do that, we have to come up with a metric for $V$. The ratio $\\frac{\\text{Market Cap}}{\\text{Employee Count}} = V$ is too crude for many obvious reasons, the most critical of which is perhaps that overvalued companies would score very well by this metric. What we really want is a metric along the following lines:\n", "\n", "$$\n", "\\frac{\\text{Total Value Generated By Employees - (Total Operational Expenses)}}{\\text{Employee Count}}\n", "$$\n", "\n", "There are (in my opinion) at least two measurements available in the [Quantopian Fundamental Dataset](https://www.quantopian.com/help/fundamentals) that make appropriate numerators in that ratio: `ebitda` and `net_income`. We use `total_employee_number`, also from the Fundamental Dataset, as the denominator. Let $\\frac{\\texttt{ebitda}}{\\texttt{total_employee_number}} = V_1$ and $\\frac{\\texttt{net_income}}{\\texttt{total_employee_number}} = V_2$. We'll investigate both $V_1$ and $V_2$ as potential trading signals." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Conditions\n", "\n", "How do we evaluate $V_1$ and $V_2$ as trading signals? First, we have to note that a comparatively high or low score will differ by industry: consider a company in the construction sector that has hired many employees to carry out manual labor. Even if it runs as efficiently as possible, it may still not score as well in terms of $V_1$ or $V_2$ as an inefficiently run software company, simply because it requires far more employees to contribute equivalent financial value. So we will want to consider $V_1$ and $V_2$ by sector. \n", "\n", "We will also want to not consider companies that don't meet some threshold for size: presumably, as either numerator or denominator of $V_1$ or $V_2$ become very small, we'll have much noisier data. For the purposes of this investigation, we require that a company has at least:\n", "1. 50 employees\n", "2. \\$20m in ebitda\n", "3. \\$10m in net income\n", "\n", "Note that these criteria automatically exclude certain growth-investment companies that are at a particular stage in their development (e.g. Tesla Motors would, as of present, not be able to meet either ebitda or net income requirements). " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Buy and Sell Signals\n", "\n", "Now let's think about $V_1$ and $V_2$ as *sell signals*: they're not very good. The primary problem is that the `total_employee_number` is only reliably updated once a year in a company's annual report. While it would be possible to conjure some related sell signals, for the purpose of keeping this investigation simple We will consider $V_1$ and $V_2$ only as a buy signal. As we are not considering any sell signals, we will use a simple buy-and-hold strategy: if the buy signal is triggered, then we purchase the asset, hold it for a year, and then sell.\n", "\n", "We choose the holding period of a year since:\n", "1. The `total_employee_number` is only reliably updated once a year\n", "2. If the thesis -- that more employee-efficient companies outperform other companies -- is true, then a year should be enough time for that effect to be notable. (Note: this is an untested assumption.)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Testing\n", "\n", "When do we consider $V_1$ or $V_2$ to be a buy-signal? Let's find out! \n", "\n", "We restrict the following investigation, without loss of generality, to the technology sector. Equivalent investigations can be made for other sectors. We will consider every calendar year as a time period, determine a company's $V_1$ and $V_2$ at the start of the period, and find their percentage price change over the period. While this does not exactly replicate the strategy outlined above (hold until annual report is released), it should be good enough.\n", "\n", "Note: in my investigation, I did not factor dividends paid into the percentage price change statistic. (Considering the results obtained, it is unlikely that factoring in dividends paid would have made a significant difference.)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# importing the libraries we will need from this point onwards\n", "import datetime\n", "from math import isnan\n", "import matplotlib.pyplot as plt\n", "from scipy.stats.stats import pearsonr\n", "import numpy as np\n", "import zipline\n", "\n", "# initialize fundamentals in the notebook\n", "fundamentals = init_fundamentals()" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# define our time periods. start date for the data: january 3 2002. in datetime format, '2002-01-03'\n", "dates = ['2002-01-03', '2003-01-04', '2004-01-05', '2005-01-06', '2006-01-07', '2007-01-08', '2008-01-09', \n", " '2009-01-10', '2010-01-11', '2011-01-12', '2012-01-13', '2013-01-14', '2014-01-15']\n", "\n", "# note on time periods: every time period is 366 days, rather than the usual 365. \n", "# While this shouldn't make a difference in practice, it may seem odd. We use 366 instead of 365\n", "# because in a previous version of this project, it was necessary to use 366 for a technical reason.\n", "# This technical reason is no longer relevant to this version of the project, so using 366 instead of 365\n", "# is simply a technical relic. For practical intents, it doesn't make a difference, and it would be tedious\n", "# to update everything appropriately.\n", "\n", "years = range(2002,2015)\n", "\n", "# we create a dictionary that maps every year in the time period to a pandas dataframe of the\n", "# equities under consideration for that year\n", "tablesPerYear = {}\n", "\n", "for i in range(13):\n", " # we query the fundamentals dataset to get equities fitting our criteria\n", " tablesPerYear[years[i]] = get_fundamentals(query(fundamentals.income_statement.ebitda,\n", " fundamentals.income_statement.net_income,\n", " fundamentals.general_profile.total_employee_number)\n", " .filter(fundamentals.asset_classification.morningstar_sector_code == 311)\n", " .filter(fundamentals.general_profile.total_employee_number > 50)\n", " .filter(fundamentals.income_statement.ebitda > 20000000)\n", " .filter(fundamentals.income_statement.net_income > 10000000)\n", " , dates[i])\n", " \n", "# Morningstar sector codes pulled from: https://www.equitieslab.com/wiki/admin/morningstar-sector. \n", "# Technology is code 311.\n", "\n", "# Could also do this with industry code instead of sector code, WLOG. \n", "# That might yield more precision, which would be good." ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def addAYear(s):\n", " \"\"\" takes a date in string format and adds exactly 366 days to it\"\"\"\n", " end = datetime.datetime.strptime(s,'%Y-%m-%d') + datetime.timedelta(days=366)\n", " return end.strftime('%Y-%m-%d')" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# probably using pandas pretty inefficiently here. New to it. Could refactor later.\n", "\n", "# create a dictionary that maps every year to a list of relevant datapoints,\n", "# where the form of a datapoint is (v1 score, v2 score, % price change, stock id number)\n", "dataPointsByYear = {}\n", "\n", "for i in range(13):\n", " # make a list of datapoints for that year\n", " annualData = []\n", " year = years[i]\n", " \n", " # Making tuples of (Column Data, SID). The pandas dataframe of tablesPerYear is organized by columns.\n", " StockData = [(tablesPerYear[year][stock], stock.sid) for stock in tablesPerYear[year]]\n", "\n", " for (column,sid) in StockData:\n", " # grab the ebitda, net, employees data and compute our metrics\n", " ebitda, net, employees = [x for x in column]\n", " v1 = ebitda / employees\n", " v2 = net / employees\n", " startDate = dates[i]\n", " endDate = addAYear(startDate)\n", " # have to grab prices to get the percentage change between start and end\n", " prices = get_pricing([sid], \n", " start_date = startDate, \n", " end_date = endDate, \n", " fields ='close_price',\n", " frequency = 'daily')\n", " purePrices = [val for val in prices[sid]]\n", " startPrice = purePrices[0]\n", " endPrice = purePrices[-1]\n", " percentChange = ((endPrice - startPrice)/startPrice) * 100\n", " if isnan(percentChange):\n", " # getting some strange NaN errors for sids 4400 and 8289. Going to just skip those.\n", " continue\n", " else:\n", " returnTuple = (v1,v2,percentChange,sid)\n", " annualData.append(returnTuple)\n", " \n", " # map that year to the list of datapoints we collected just above.\n", " dataPointsByYear[year] = annualData" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "data": { "image/png": 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ybKwRLWKMvwbeX6FYJEmaEPOUJCmrxiy0QggHAE/HGO8PIRwMvB24LcZ4U0Wi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\nJuNtg3x+AOGY9VgrY85VoVXhROD6+PM2wNLEvKWEA1rl9Mf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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "V1 Correlation: (-0.30185122747936766, 0.017110928864449402)\n", "V2 Correlation: (-0.27078426125696037, 0.033278175091550247)\n" ] }, { "data": { "image/png": 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Lz2dS/GburhjjpX09UAhhNHAVMCfG+LcQQudrMcb2EEJ7mbeXe42WlsRfUGZe\nWufyrtZ1ANzbjz8rfy/ZM1jOAzwXVVdOQfX9nitZb39kULX9fKH6aq62eqH6arbe6lduQYuVwBFA\nawjha8D/B1wDnBhCeGeM8QtJDxJCGEkxsJpijEtLm58JIbw5xvh0CGF3oOOeJE8Ab+vy9reWtvVo\n3LhxSUvJtJaWlvTO5fHi3O7++lmlei79bLCcy2A5D/BcsmoAQrZqcgqqK6sq/u9lyhlUjf8dVVvN\n1VYvVF/N1pu+/sipcnOuhsUY/1Z6fAJQF2O8AJhEcQJvIiGEYcClwP0xxh90eela4JTS41OApV22\nTwshjAohvB3YB/hj0uNJkoYMc0qSlCnlmqv2EMJupcdrgVaAGGNbL+/b3BHADOCoEMKdpX/qgO8C\nHw4hPAgcXXpOjPF+4ArgfuBG4MwYY6/DLSRJQ445JUnKlHLDAr8N/Kq0xO1vgCtDCEuAYymGSSIx\nxt/Sc8gd08N7zgfOT3oMSdKQZE5JkjKlx2/2YoxXUBwG8WFgIvAOivf1uAFIPI5dkqQ0mFOSpKwp\nd+WKGOP/ACf3Uy2SJPWJOSVJypKyzVUI4WDgpRjjwyGEwyneuf6OGOOqfqlOkqQyzClJUpb0OCww\nhPBFiisj/TqE8BmKd6ffB5gfQjitn+qTJKlb5pQkKWvKXbk6BTgAGA08AuwTY3wshLALsAL4Wfrl\nSZLUI3NKkpQp5ZaqbYsxro0xPg2siTE+BhBjfL5/SpMkqSxzSpKUKeWaq66vnb3ZayNTqEWSpL4w\npyRJmVKuufpBCOFNADHG6zo2hhD2A25OuzBJknphTkmSMqXHOVcxxst72P5n4HOpVSRJUgLmlCQp\na8pduZIkSZIkJWRzJUmSJEkVYHMlSZIkSRVQtrkKIbwhhHB9fxUjSVJfmFOSpCwp21zFGNcDO4cQ\nvMIlScocc0qSlCU9rhbYxR+Aq0MIi4C1HRtjjDekVpUkScmZU5KkTEjSXB0MtAP1m203tCRJWWBO\nSZIyodfmKsb4oX6oQ5KkLWJOSZKyotfmqjSO/VRgnxjjl0MIewJviTH+Lu3iVBmFQoG2v70GwMhC\ngVwuN8AVSVLlmFPZUygUWNnYCMD4fB5TR9JQkWQC8EXAeOD40vO1wA9Tq0gVVSgUqKtbxAsvbMML\nL2xDXd0iCoXCQJclSZVkTmVIoVBgUV0dE+rrmVBfz6K6Otrb2we6LEnqF0maq6OAk4G/A8QYnwdq\n0ixKldNobo9SAAAgAElEQVTYuJLm5pmdz5ubZ9DYuHIAK5KkijOnMmRlYyMzm5sZCYwEZjQ389ra\ntb29TZIGhSTNVSHGuLHjSWn4xbD0SpIkqU/MKUlSJiRpru4JIcwAhpfGsc8DVqValSomnx9PbW1T\n5/Pa2oXk8+MHsCJJqjhzKkPG5/M01dayDlgHLKytZZvRowe6LEnqF0maq88BHwJ2B/4IjAC+lGJN\nqqBcLsfy5dPZeefX2Hnn11i+fLoLWkgabMypDMnlckxfvpwV8+axYt48pi9fzrBhXkiUNDQkWYr9\nFeC0fqhFKcnlcuTetE3Hk4EtRpIqzJzKnlwux8RZswa6DEnqd0mWYv9f4HJgQYzxsfRLkiQpOXNK\nkpQVSYYFTgZ2BP4QQrglhDA9hODlD0lSVphTkqRM6LW5ijHeG2P8PDCW4n1DPgY8lXZhkiQlYU5J\nkrIiyZWrDgGoBQ4D/iedciRJ2mLmlCRpQCWZc3UWcArwJmAB8F7HtEuSssKckiRlRa/NFXAQcFaM\n8ba0i5EkaQuYU5KkTEiyFPtpIYSRIYQD/rEprk+5LkmSEjGnJElZ0eucqxDCe4A1wNLSPw+FEMal\nXZgkSUmYU5KkrEiyoMXFwKkxxn1ijPsAnyxtkyQpC8wpSVImJGmu3hhjXNnxJMZ4KzA6vZIkSeoT\nc0qSlAlJmqu/hxCO6ngSQvgQ8GpqFUmS1DfmlCQpE5KsFngWcFUIobX0fBTw0fRKkiSpT8wpSVIm\nJFkt8I4Qwt4Ub85Y2hTXpVuWJEnJmFOSpKxIcuWKUkjdk3ItkiRtEXNKkpQFSeZcSZIkSZJ6YXMl\nSZIkSRVgcyVJkiRJFdBrcxVC2DeE8NsQwiOl5+NCCOekXJckSYmYU5KkrEhy5Woe8P+Al0rP7wI+\nllpFkiT1jTklScqEJM3V9jHGG4F2gBjjBsAlbiVJWWFOSZIyIUlztT6EMKrjSQhhD2BDeiVJktQn\n5pQkKROSDgu8GtglhHAu8FvgP1OtSpKk5MwpSVIm9HoT4RjjghDCX4BJwDbAx2OMq1KvTJKkBMwp\nSVJW9NpcAZRCyqCSJGWSOSVJyoIkS7HfFkLYscvznUMIv0m3LEmSkjGnJElZkWTO1RtjjP/X8STG\n+ALwpvRKkiSpT8wpSVImJGmuhocQ3tjxJIQwGhiZXkmSJPWJOSVJyoQkc65+DqwIIVwCDAPqgf9O\ntSpJkpIzpyRJmZBktcDvhBCeBCZTvEFjQ4zxv1KvTJKkBMwpSVJWJF0tcAGwIOVaJEnaIuaUJCkL\nemyuQgifiTH+IIRwAcVvAjsMA9pjjF9KvTpJknpgTkmSsqbclavXSn++SjehlfQAIYTLgInAszHG\nA0vbzgFOA54r7fbVGOONpdfOBk4FNgBnxRhvTnosSdKQYk5JkjKlx+YqxviTEMII4KkY40+24hiX\nA3OBruPf24GLYowXdd0xhLA/8K/A/sAewC0hhH1jjBu34viSpEHInJIkZU3ZpdhjjBuAM7bmADHG\nVcD/dfPSsG62TQZ+HmNsizE+AqwBDtua40uSBi9zSpKUJUnuc3VrCOHEFI49O4TwpxDCpSGEHUrb\n3gI83mWfxyl+MyigUCjQ0LCMhoZlFAqFgS5HkrLCnOpHhUKBZQ0NLGtoMIskaTNJVgv8BPD5EMIC\niuPaoThReLetOO484LzS428B/wl8sod9ex0339LSshWlZEtP59La2srs2XewevWZAMyffwlz5x5K\nTU1Nos99V+s6AO7tx5/VUPi9VJvBch7guWgTmc8pqL7fc3f1tra2csfs2Zy5ejUAl8yfz6Fz5/aa\nRf2RQdX284Xqq7na6oXqq9l6q1+S5mpc6c/uhkdskRjjsx2PQwg/A64rPX0CeFuXXd9a2la+wHHj\netulKrS0tPR4Lg0Ny0qN1UgAVq+u5+67VzBr1sRkH/74KKD/flblzqXaDJZzGSznAZ5LVg1gyGY+\np6C6sqqnfy+XNTRw5urVpSSC+tWrWXH33UycNav8B6acQdX431G11Vxt9UL11Wy96euPnCq3FPuO\nwNeBAKwGvhNjfK2n/fsihLB7jPGp0tMpwD2lx9cCi0IIF1EcZrEP8MdKHFOSNLiYU5KkrCk352o+\n8E/ADRQn6/7HlhwghPBz4HfFh+GxEMKpwPdCCHeHEP4E1AKfBYgx3g9cAdwP3AicGWNMvJzuYJbP\nj6e2tglYB6yjtnYh+fz4gS5LkgaSOdXPxufzNNXWlpIIFtbWMj6fH+CqJCk7yg0LfCfwrhhjewjh\nUuAPW3KAGONJ3Wy+rMz+5wPnb8mxBrNcLsfy5dNpbFwBQD4/nVwuN8BVSdKAMqf6WS6XY/ry5axo\nbARgej5vFklSF+Waq3Ud38bFGFtDCP1UknqSy+WSz7GSpMHPnBoAuVyu9zlWkjRElWuu3h5CuIJ/\nTBDes8vz9hjjx1KvTpKknplTkqRMKddcfYbi8rIdobWsy2tDZny5JCmzzClJUqb02FzFGBv7sQ5J\nkvrEnJIkZU2S+1ypnxUKBRobVwLFVQKdLCxJ6k+tra0sa2gAiisEmkOSlIzNVcYUCgXq6hbR3DwT\ngMWLm1i+3JUBJUn9o1AocMfs2Zy5ejUATYsXM335cnNIkhIod58rDYDGxpWlxmokMJLm5hmdV7Ek\nSUrbysZGzly9upRCMKO5mZWlpdclSeX12lyFEKZ2s+1r6ZQjSVLfmFOSpKxIcuXqyyGEIzqehBA+\nCxyTXklDWz4/ntraJmAdsI7a2oXk8+MHuixJyjJzqoLG5/NccsghpRSChbW1jM/nB7gqSaoOSeZc\nnQAsCyGcCBwFTAUmpFrVEPfRj+7I7rtfxOGH78fppzvfSpJ6YU5VUC6X46ALL+Sin/4UgFnz5plD\nkpRQr81VjPGxEMJMivcPeQH4cIzx1dQrG4JaW1u7LGbxEZ56qonTTx/oqiQp28ypyioUCtz9hS/w\n+Y4FLZ56ygUtJCmhHpurEMKVm23aAKwFLg0heOf7FFx33V00N59OcQoxpcUsVjBr1sSBLUySMsic\nSkfXBS2guKDFisZGJs6aNaB1SVI1KHflahnFO9wP6+Z5e8p1SZLUG3NKkpQpPTZX0Tvf97tJk97N\n73/fRHPzDIDSYhbTB7gqScomcyod4/N5Lpk/n/rSsMCFtbVMd0ELSUqk1zlXIYSrgNNjjC+Wnu8M\nzHO4ReXV1NSwfPl0GhtXAJDPu5iFJPXGnKqsXC7HoXPnsuLuuwGYns+bRZKUUJLVAvfqCCyAGOML\nIYR9UqxpSMvlcs6xkqS+MacqrKamxjlWkrQFktznakQIobMJCyGMBEalV5IkSX1iTkmSMiHJlaub\ngMUhhB9QnCT8GWB5qlVJkpScOSVJyoQkzdVXgbOBi0rPrwe+m1pFkiT1jTklScqEJDcRXgecW/pH\nkqRMMackSVmRZLXANwLfAI4pbboZ+HaM8e9pFiZJUhLmlCQpK5IsaDEX2B2YQ3Ec+1uAH6VZlCRJ\nfWBOSZIyIcmcq0NjjAd2PAkh3AbcnV5JkiT1iTklScqEJFeuCCGM7vL0jSnVIknSFjGnJElZkOTK\n1ULg9yGEn1Nc4vZfgaZUq5IkKTlzSpKUCb1euYoxfg/4ErAzsCPwpRjjf6RdmCRJSZhTkqSsSLJa\n4IwY40Lgxm62SZI0oMwpSVJWJJlz9fmE2yRJGgjmlCQpE3q8chVCOBQ4DNglhHAmxXHs7cAOwMj+\nKU+SpO6ZU5KkrCk3LHAP4FBg29KfHV4B8inWJElSEuaUJClTemyuYoxLgaUhhGNjjDf1Y02SJPXK\nnJIkZU25YYEHAM92BFYIYRpwEvAX4Jsxxr/1T4mSJL2eOSVJyppyC1o0Umq+QgjvAeYDtwG7AXNT\nr0ySpPIaMackSRlSrrmqiTE+VXo8FWgs3Tfk42w6tl2SpIFgTkmSMqVcc9Xe5fH7gN8AxBg3AOvT\nLEqSpATMKUlSppRbLfDx0tK2TwKHACsBQgg1uMStJGngmVOSpEwp11ydCVxCcanbWTHGF0vbxwPX\np12YJEm9MKckSZlSbin2vwITu9l+A3BDmkVJktQbc0qSlDXl5lxJkiRJkhKyuZIkSZKkCrC5kiRJ\nkqQKsLmSJEmSpAoot1ogACGEI4DvAXt12b89xrhbmoVJkpSEOSVJyopemyvgUuA84HZgQ7rlSJLU\nZ+aUJCkTkjRXf48xLkq9EkmStow5JUnKhCRzrm4IIfxL6pVIkrRlzClJUiYkuXI1C/hqCGEt0Fra\n5lh2SVJWmFOSpExI0ly9J/UqJEnacuaUJCkTem2uYoyP9EMdkiRtEXNKkpQVPTZXIYSFMcYZIYQ7\nunm5PcZ4WIp1SZJUljklScqacleuvl/684vdvNaeQi2SJPWFOSVJypQem6sYY0vpz1/3WzWSJCVk\nTkmSsibJUuySJEmSpF7YXEmSJElSBSRZin2rhBAuAyYCz8YYDyxt2wn4BTAWeAT4WIzxpdJrZwOn\nAhuAs2KMN6ddoyRp6DKnJEmV0uuVqxDC8BDCaSGE75We7xlCOLwPx7gcqNts21eAFTHGfYGVpeeE\nEPYH/hXYv/SeS0IIXl2TJPXInJIkZUWSQLgIGA9MLj1fC/ww6QFijKuA/9ts83HAgtLjBcDxpceT\ngZ/HGNtK9y1ZAwyZpXRbW1tpaFhGQ8MyCoXCQJcjSdXCnKqgQqHA7UuWsKyhwSySpD5K0lwdBZwM\nvAYQY3weqNnK446JMT5TevwMMKb0+C3A4132exzYYyuPVRUKhQKzZ99Bff0E6us/yIEHnsfcuUsN\nNknqnTlVIYVCgUV1dZz+3e8yob6eRXV1vPTSSyxraLDZkqQEksy5KsQYN4YQgOLwC2BYpQqIMbaH\nEMrdj6TXe5W0tLRUqpwBs2TJ7axefSbFIfxXsmbNuZx1FjQ2XsLcuYdSU7N1/5/wrtZ1ANzbjz+r\nwfB76TBYzmWwnAd4LtpE5nMKquP3fPuSJZze3MzI0vOpzc388KCD+MpjjwFwyfz5HDp3bp8zqT8y\nqBp+vpurtpqrrV6ovpqtt/olaa7uCSHMAIaHEPYEzgZWbeVxnwkhvDnG+HQIYXfg2dL2J4C3ddnv\nraVtZY0bN24ryxl4d9zxdOnRSmAmlKJt9ep67r57BbNmTdy6Azw+Cui/n1VLS8ug+L3A4DmXwXIe\n4Llk1QCGbOZzCqojq56+445Nnt8KfOWxxzqbrfrVq1lx991MnDWrbx+ccgZV439H1VZztdUL1Vez\n9aavP3IqybDAzwEfAnYH/giMAL60lce9Fjil9PgUYGmX7dNCCKNCCG8H9ikdc9DL58dzyCGXAG0D\nXYokVRtzqkLG5/M01dayDlgH/HHvvQe6JEmqKr1euYoxvgKctqUHCCH8HKgFdgkhPAZ8E/gucEUI\n4ZOUlrgtHev+EMIVwP3AeuDMGGOi4RbVLpfLMXfuobS0PMPcuT/goYfmAFBbu5B8fvoAVydJ2WVO\nVU4ul2P68uX87NxzGTt2LF+aNo2m449nRnMzAAtra5mezw9skZKUYb02VyGET/H68eQvA3+MMT7U\n2/tjjCf18NIxPex/PnB+b587GNXU1DB79hROP71AY+MKAPL56eRyuQGuTJKyy5yqrFwux3unTu0c\n7jN9+XJWNDYWH+fzZpIklZFkzlUd8EGKk4GGUVyV6Y/Ad0MI58QYL02xviEpl8tt/RwrSRo6zKkU\n5XK5vs+xkqQhKklztRE4MMb4KEAI4W3AJRTv63ELYGhVUKFQoLFxJVCch+U3hJLUK3OqwlpbW1nW\n0AAU52GZRZKUTJIFLfbqCCyAGONjwNtjjE/h6gsV1draSl3dotK9riZQV7fIe4pIUu/MqQoqFArc\nMXs2E+rrO+91ZRZJUjJJrlw9E0L4KnA5xeEWpwDPhhBGkPDeHkrmuuvuorn5dDqWYW9unkFjYwWW\nYZekwc2cqqCVjY2cuXp15/LrM5qbWdHY6NBASUogyZWrjwPjgHuBe4D3lLaNLP2pAVIoFGhoWEZD\nwzK/VZQ0lJlT/aBQKLCsoYFlDQ1mjiT1IMlS7E8AH+3h5XsqW87QNmnSu/n975tobp4BlF+GvVAo\nUFe3iObmmQAsXtzE8uWuLChp6DGnKmt8Ps8l8+dTv3o1UFx+/YRp01hUV8fM0pLsTYsXM335cjNH\nkjaTZFggIYRjgHd03T/GeElaRQ1VNTU1LF8+PdEy7I2NK0uNlUMIJcmcqpxcLsehc+ey4u67geLy\n6ysbG5nZ3OxQQUnqRZL7XC2gONxiNbAh9YqGOJdhl6S+Macqr6amxsZJkrZAkitX7wcOiDG64lKG\n5PPjWbw42RBCSRrkzKmUjc/naVq8mBmlYYELa2uZns8PbFGSlEFJmqvHKK6+pAzJ5XKJhxBK0iBn\nTqUsl8sxfflyVjQ2AsWhgmaOJL1ekubqQeCWEMJSoLW0rd2x7APPIYSSBJhT/SKXyzlUUJJ6kaS5\n2gb4C3BgyrVIkrQlzClJUiYkWYo93w91qIxCoUBj40qgONfKoRiS9A/mVPoKhQIrS0MCxzskUJJ6\nlHQp9gD8M9D5t2mM8b/SKkr/UO5+VjZdklRkTqWnUCiUvceVjZck/cPw3nYIIcwBrgZ+ApwMNAAn\npVyXSja9n9XI0v2sVnY2XfX1E6ivn0Bd3SIKhcJAlytJ/c6cSlfXe1yNpHiPq45mqqPxmlBfz4T6\nehbV1ZlFkoa0Xpsr4AzgvcBfY4zHAocBa1OtaohqbW2loWEZDQ3Leg2nnpouSRqCzKkKKhQK3L5k\nCcsaGnrNonKNlyQNRUmaq0KMcS0wPIQwPMZ4L7BvynUNOYVCgdmz73jdlah8fjy1tU3AOmBd6X5W\n4we6XEnKEnOqQjquRJ3+3e92Xok6Yto0mmprSylUvMfVeO9xJUndStJcvRpCGAXcDXw3hHBWwvep\nDxobV7J69ZlsfiWq435W8+atYN68FZ3zrWy6JKmTOVUh3V2Juq00x2rFvHmsmDdvk/lW4/N5Gy9J\n6iLJghafAkYBnwfOB94BzEyzKG2qu/tZeRNhSepkTqWsp3tceXNhSdpUkqXY7yk9XAt8Mt1yhq58\nfjzz51/C6tX1AKUrUdNft9/mKwR6E2FJQ505VTnj83maFi9mRmllwIW1tUwvXYnqaVVAby4sSf/Q\na3MVQhgDzAb26rJ/e4zxY2kWNtTkcjnmzj2Uu+/u+UpUuWXZJWmoMqcqp+NK1M/OPZexY8d2Xonq\nbTl2SVJRkmGBVwH3AyuAjaVt7alVNITV1NSUvRK16QqBlOZlrfDqlaShzpyqoFwux3unTmXcuHGd\n27rOxYLiXKwVjY1esZKkzSRprnaIMZ6ReiWSJG0Zc0qSlAlJVlO6N4SwR+qVqFuFQqHz3lfTph3h\nCoGS9HrmVEoKhQLLGhpoa2vjsiOPdFVASepFj1euQghXlh5uB9wTQrgN6LiboGPZ+0F3c6yWLj2B\nxYuTrRDYdfGLf3tzO8OGDUu/aEnqJ+ZUujafZ9V45JEsu/hiRo0c2e2qgD0teCFJQ0m5YYHLSn+2\nAz/f7DXHsqeka0PU1rbudXOsFi9ONsdq88bs+IZXGTPmjdheSRpEzKmUtLa28oNPfIJ3NjezAcgB\np6xaxYrp07udZ+WCF5JUVK65WgjUxBhf7boxhPBGoDXVqoao1tZWJkxoYtWqPAB7730RxS9hR5Z5\nV/c2X/yiUBjN2rWv8aZKFStJA8+cSkGhUOCO2bP5/OrVADQB0yk/j8AFLySpqNzfld+l+Pfp5qZR\nvEmjKqhQKPCNb1xRaqxGAiNZs+az7L33+TjHSpK6ZU5VWKFQ4D9POYUzV68uJRHMAJYDF2y/PUdM\nmzawBUpSxpVrro4GLutmeyPg2t8VVCgUmDBhAbfeus3rXjvkkNHMm7eCefNW9OmeVtOmHcHee/87\nsBR4hVxuLaNHOzxD0qBiTlVQoVBgwYQJrL3iite99mdg9ssvc9vixd2+d3w+T1NtbeIFLzoWyljW\n0EChUOhxP0mqNuWGBY6IMW7YfGOMcUMIYWN3b9CWaWxcyapVb6b4BWwTxe8JAb7Pe9+7T58/r1Ao\ncPzxV7NmzbkA7LPPD9htt21d0ELSYGNOVdDKxkbevGrV65Loh8BnKP9tbMfNh1eUFrTobsGLDs7P\nkjSYlf27sjRufRMhhNHAqPRKGspyFBusFcANvOMdz7N06f9RXz+B+voJ1NUtSvQN36bzrUby0ENz\nePVVpx9IGnTMqRRsmkQwluL/LPQ2LDCXyzFx1iwmzppVtlHqOj9rJMX5WR2rDEpStSvXXP0CaAwh\nbN+xIYSwA3ApcGWP71Kf5fPjOfLIp4EFFH8lH2bvvSOf+tR7WLXqVDqapObmGZ0rCUqSzKlKGp/P\n8/SRR3ZJIniaYgKtoPywQElSUbnm6lsUV1t6IoRwZwjhTuBxYANwbn8UN1TkcjluvvkUvvCFV5k2\n7SIuvvgG7rlnDttuO3qLPi+fH/+6mw0730rSIGROVVAul+OUm29m54sv5usTJnDBxz7GycAUihPY\nKpUifZ2fJUnVpMc5VzHGNmBGCGEf4ODS5jtjjA/1S2VDTC6XY9q0DzBu3LjObfn8eBYvbqK5uTjy\nvbhaYHcLY73+s5Yvn05j4z9uNjzspvPSKVySBog5VXm5XI4ps2fzT4cfzgEHHMCiZ55hRmlu1MLa\nWqZXoAnqy/wsSao25Ra0AKAUUgbVANi8SZo27YTOYYH5/PiyYZTL5RLdbFiSqp05lY5yTVChUOic\nJzV+C5qjjvlZkjTY9NpcaWB1NEmFQoG6ukWlhSpg8eKmPi3NLklSX3XXBLnanyT1rNycK2XI5isA\nuriFJGkguNqfJPXM5kqSJEmSKqDX5iqEMCaEsDCEsKr0/KAQggOlU1QoFGhoWEZDw7LO+1p1twJg\nPj++230laSgxpyqrUChw+5IlLGto6DZXNl/t7/Ijj6Stra3H/SVpKEky52o+cCPwz6XnEfhvoCGt\nooaycnOrNl8BEHAeliSZUxXTMZ/q9DLzqboudLGurY3hV17JxLPO6nF/SRpKkgwL3CPGOA9YDxBj\nbAU2plrVEFZublXH4hazZk0kl8s5D0uSisypCkk6n6pjoYtRI0eSX7XK+VeSVJKkuVofQhjW8SSE\nsEOK9UiS1FfmlCQpE5I0V1dTHFqxXQghD6wALk+zqKGsp7lVW7uvJA1i5lSFbD6famFtLePL3Di4\nr/tL0mCX5CbC3wshzAB2BP4F+GGMcWHqlQ1R3c2t6mnsel/2laTBypyqnI75VD8791zGjh27yY2D\ny+3f3Y2GJWkoSnQT4VJIGVT9pGNuVaX3laTBypyqnFwux3unTmXcuHGJ99/8RsOSNFT12lyFEK4E\n2oGO8eztwCvA74DGGKOThiuktbWVhoZlQHHIn9/+SVLvzKnKa21tZVlDcbHF8V6NkqTEksy5egZ4\nG7AK+C3w1tL2jwE/SKmuIadQKDB79h3U10+gvn4CBx00l5deeqnX93iPK0kypyqpUChw+6c+xYT6\neibU19M0YUKPGVMoFFjW0OA9riSpJMmwwH8GPlRa2pYQwk+AlcDRwF0p1jakNDauZPXqMykuZgsP\nPTSHQw89h3vu+Sa5XI5CodC5zHrHohXe40qSAHOqopbPn8+n77qrlEZwyqpV3DB/PsfPnk2hUOhc\nav2IadO4+vjjmVnmnliSNNQkuXK1G9DW5XkbsEspxPyaqqIKwLLSPwXWrDmMxsaVnTcW7riqVVe3\niPnzb/QeV5JUZE5V0D2rVnEDHUlU9Off/a7zBsMdV7TmH3YYJya4J5YkDSVJrlw1A9eHEJoojmc/\nGVgVQhgNtKZZ3FAybdoRzJlzAev+//buPc6qut7/+AsVZpuQihqZ+csL+CkzD6KiQTTZFGeUVDyK\nEoHsLlOMBWaWpcdj2uWYmUZQDkbmKISTZpKGTo7k2Y1w8gKSlvoJLCs93tJUUPZwcX5/fL972Ax7\nhhnY15n38/Hgwd5rrb3Wd629Z33WZ32/6/vd8F9xyreB4WzcuEenwYIhlZrK/vtfDXysRKUVESkr\nilN5kk6n2W3lSk6K728gZKo2ZsxWAwwDnLt6NXcBp5akpCIi5aknNVdfAO4CzgBOB5qBendf5+7H\nF7Jw/UlT07KYWGXuAV4EDOGWW/7Jxo0bt1l+zJh3a4wrEZFAcSpPmufP58tPPtkRic4GnjzkEE6s\nq8u5/P3Dh2uMKxGRLD0Z52oDMDf+k6LajdbW6UyatITq6gWkUlMBqK5eSF3dFOrq0BhXItLvKU7l\nzxPLl9N5cI+9jzmGRCIRBgxuamJqfMZqYXU1FyxeTEtTE6AxrkREoGddsQ8EPkV4YLjjrOnunypg\nufqdZLKG+fOvYeXK+jjlB0C4Uzhw4KAuBwvWGFci0t8pTuWPjRnDDU1NnB3ffx8YftxxQNcDBmuM\nKxGRLXrSLPBaYAxwMrAaGA2sL2Sh+qNEIsH3vnckw4d/ndC6ZQbwC8aNu17N/UREuqc4lScn1tWR\nHjuWTCQ6B3ht8WJ1sy4i0kM9Sa5GA0ngX+5+OTAWOKKQheqv7rzzUdas+Qbw78DvgH2ZOHFvgG16\nC1SgExHpoDiVJ4lEgneedRbZkWi/1lbumj9/m94CF9XWKhaJiHTSk94C17t7u5ltNrM93P1VM3tb\nPjZuZk8BrwGbgY3uPtrMhgI/B94FPAWc6e7dj6bbB6TTaZqaniJ0fHsLMA1I853vXMz9968mlZpF\ndm+BjY0tahIoIhIoTuVZdiQCuGL2bB677z6OSKXYTGh7OTWVoqWxUc0CRUSy9KTm6qUYSJqBu8zs\nl8DTedp+O2Hgx6PcfXSc9jWgxd0PIwwC+bU8bausNTYu5emnLwMuJ4SzzcAtvPji97j55gsIcVx3\nCEVEclCcyqN24L8JkWggIRq9/S9/4YKbb+YkYBGKRiIiXelJcjXB3V8G/hOYD/yW0NVtvgzo9P4U\nwtPEvfkAACAASURBVNAaxP8n5nFbZS5BaN0CIV5vGSQ4dIjbjLpdFxHZhuJUHg0aOJBjst43A9PZ\nEo2mxmnqel1EZFs9Sa7OB3D3N919gbv/kNDbQj60A/eY2UNmlhlEY5i7Px9fPw8My9O2yloyWcOo\nUdcAHybE6m2fxT7zzD/R0NBCc7O6XRcRyaI4lUc1ySR/HTmSGwjtIe/PscwTkyczpblZsUhEpJMB\n7e3t3S5gZg+7+1Hbm7YjzGx/d3/WzPYDWoCZwO3uvnfWMi+7+9Cu1rFixYrud6CCtLW1cccdq9i0\naSMrVvyFe+99H3R0iHsjX/7y60ye/IEdWvcRT54MwB8PvSM/hRURyeHoo4/uXMtTcOUep6DyYlVb\nWxsP3nYbj/z618x+4gluIdRYAVxx4IHUNDVRVVXV4/UpBolIuSh0nOqyQwsz+ygwHniHmX2XLc0i\n9szXxt392fj/i2Z2G6FN3PNm9nZ3f87M9gde2N56jj766HwVqaRWrFjB5ZefA8C8eUu4994PEmI5\nwJkcemjrju/r04OA4h2rFStW9KnvpS/sS1/ZD9C+lKsVK1YUdXuVFKegsmLVihUrOPfKK1ly6KEk\n6uuZQohGG4EjvvIVxowZ07sVFjgGVeLfUaWVudLKC5VXZpW38IoRp7prFrgBeB14M/6f+fc4cNrO\nbtjM3mJmQ+LrPQgB8lHgdkLzbuL/i3d2W5UomayhuvoW4KPAR6mu/kXenrNKp9PMm7eEefOWqBtd\nEalkilMFVpNMsqC6ml0I0ejl6mpOrKvb3se2kk6neWPtWt5Yu1YxR0T6vJ40C3yfuz+a7w2b2cHA\nbfHtbsDP3P3y2OPTzcD/owdd3K5YsaL99NZ8PrdcOhs2bGDQoEEd79vb21m3Lk1o8g8wgMGDEwwY\nMCDHMmwzL9t9+4SOs8b+8wCef/512toGA1BVtY5hw/bo8nP52pdK1lf2pa/sB2hfytWt424tVbPA\nso5TUHmxKvt32d7eTnrdOgCq9tiDttdfByAxeHCXsSPzmXbgzddfZ5W1ATDSq9hj2DDFHCqvzJVW\nXqi8Mqu8hVeMONWTca7WmNlngEOzlm939wt2ZsPu/ldgZI7pLwMf2Zl1V7LOydIee1Tx7LPr2LTp\nrQC8/vqWZKi9vX2rRCl7XlfWrUt3LA/Q1jaYdevWM2TI7gXcKxGRglKcyrP29nbWr10LhCRq9yFD\naG9v5/Xnn2dwW0iU1r3+ekei1DkBe+OFFxjc1sYbwOCs9Q5ua2P9unXsPmRIkfdIRKQ4epJc3ULo\nffV+wtAWA9hSlVIWnvriU6UuQl4sX76ciy56glQqDNv43nGNPPvsGjat+RaZAYTb2MCFDWEA4blz\nFzPriglbzfvynDuZOTNHr8C/OgiAb+/3I+ovGd/xGdjAtxvyPyBxJbbD7Upf2Ze+sh+gfSlXxX7m\nKkvZxymonFiVTqe5duxYzlm5EoAF1e9jSnMzzfPnM+GKWVnRo40753yZ2ro6FtXWMi2VAuDrw4dy\n2Zo2BgJLCG0pB84On/nzbGhp+HbeBx6uxL+jSitzpZUXKq/MKm/hFSNO9SS5OtTd31Pwkgh33LGK\nVKqOTOLT2joduLLL5ZcvfwKYsM20mTO73kYyWUNT0wJSqdDvUxgza8pOllxEpKQUp/JoaWMj56xc\n2ZFETU2laGls5Inly+l8G+6J5csZOHAg01KpjuVHr1nTMb+GMLjIp+P7hdXVTNHYWCLSh/VknKu/\nmNlbC14S6cJhwALCc9sbGDHiBx0dW4wZY4SwtSH+uzFO61oikaC5eQoNDS0aM0tE+grFqSKwMWM6\nRZwwrbMPA7NHjGAD4SJj87hxrB86lPX7DNXYWCLS5/Wk5uo14CEzawba4rSdbssu2zr55JEsW/ZT\nWlvDeJRjx/4fu+yyK62tHwfuZPjwB3jggQs6AlNd3YnccssNtLbeCcC4cZupqztxu9tJJBJ5bwYo\nIlJCilN5VJNMcs38+dSvXEka+M7w4YzeuJETpk3j57fcwp2trUBImjI9By5oamJqbBb4i+pq6hYv\npqWpCYDpySSJ37w7rFyJlYj0cT1Jrjz+g9CGvSzbsvcVb74JmaZ+zz13Fffdl2Tx4lZgIMnkJVvd\n8UskEtx993QaG5cCkExO1x1BEemPFKfyKJFIcOT3vscVDQ1svPdeLluzBmbNovGWWzjr9ttZlp00\nxZgzpbmZlsbG8DpOz/dzVSIilWC7yZW7X1qEcghw220PsWxZPZlnrp588kuMG/d1Hn30610mTaqF\nEpH+TnEqv9LpNCu+9CXaV63iv9jS/dH01lbuXLCAiTke7FUyJSISbPeZKzMbZmYLzaw1vj/SzHQG\nLYAVK9YAdxL6Vwrdsa9Zc1xHzVR3NDCwiPRXilP5k06nuWr6dF5atYo3c8x/YvnyHq1jybx5LJk3\nT/FIRPqdnjQLnA/cBfxbfO/Az4B5hSpUf5ROp3n44cHASXHK1YQEqx54kHQ6ndX8r2armqx0Ok1t\n7aKOLtybmhaoowoR6U8Up/IgnU6zqLaWC+KzU98DLgQ+QOikoonQgUU6nWZpbAJYk9U0MHsdmW7Z\nFzQ1hU4sirkjIiIl1JPeAg9w9wZgE4C7t0HOG1qyExobl/LKK5cRGmAMBM4D1lNV9QMmTjya2tpF\n1NePp75+PLW1i7a6G9jYuDQmVuGzqdTUHtV2iYj0EYpTebC0sbGjS/WBwPnAOMJTwA3A34cM4f2T\nJrGotpbx9fWMr69nUW3tVvGo8zqmplIdiZiISH/Qk+Rqk5kNyLwxs70KWB7ZyvG0tR3Luedep+RJ\nRKRrilMFshtbbvcds3Ytjeedp+RJRKQbPUmufkloWvFWM0sCLcD1hSxUf5RM1rD33peyZQSRhYSG\nGPDkk89t97PV1VvGwgoDA9cUtLwiImVEcSoPapLJjvGpMuNY9TaS1CSTLKiu3hLJqqup0aDBItKP\nbDe5cvcrgFZgBeGBoB+4++xCF6y/SSQSTJ++N3AJoVOLM4CbgT8yadLx3SZPGhhYRPozxan8SCQS\nDJ85k7sIUSgzCHAm0Xrs0EOZ0dDQbfKUSCRCt+wNDbQ0NGjQYBHpd3rSoQXuvpBQlSIFNGnSGB58\ncBXLlm0C5gKvAAeyZMk6br/9LJqaWgBIJrdNntQlu4j0Z4pT+XFiXR2Lbr2VqakUaeBiYDDwTFUV\nl913H3vttVfOMa2yqVt2EenPetIV+y/NbGjW+33M7ObCFqt/qqqq4p57PsWZZ2bGwhwDfJbW1k/S\n1LSMGTMmMGPGBN0FFBHJojiVP5map4vHj6cFeD9wNHBlWxsrFi/uWGbCjBlMmDFD8UhEpJOePHN1\niLu/nHnj7i8BIwpXpP4tkUhwwgkjgQuA00Ad2IqIbI/iVB4lEgkOGjWKUwhRaAKKRCIiPdWT5GpX\nM+toPmhmA4FBhSuSdNVBhQYKFhHJSXEqz0aefPJ2O6bQYMEiItvqyTNXvwGazGw2MAD4ItBc0FL1\nY+l0mvnz72LYsGc588wr+cAHDqeubgpAXgYK7m4wYhGRCqU4lUfpdJpVd9zBvqecwpXDhrHrLrsw\no6GhZ4MF70RM6W5wYhGRStGT5OpC4CLg6vj+18B3ClaifqytrY3x42+gtXVXQrNAeOaZn1JX13mg\nYOJYVy296sSivb09LwmaiEiZUZzKk+yk6edkIhE0PvMM0+6+uyNeZA8WDGG8q5bGxh3uyKIQyZqI\nSCl0m1yZ2a7ANe5eB1xWnCL1X3fcsYrW1gMIPQmHkLVs2SeZP/9OBg4c2O1ne2LduvROJ2giIuVE\ncSq/MknT3cB06Eiepre2cuf8+UycObOg281XsiYiUirdPnPl7puBI4tUln5v06ZNOacvX/6EBgru\nAT2TJtL/KE7l18aNG7uc98Ty5R2vNVhw9/Q8mkj/1ZNmgb81sx8SxhBcl5no7o8VrFT9VjvwKPAi\ncHac1siYMdYxUHBjY9djXW3P4MEJqqsXkEpNBYgJ2pS8lb6U0um0mjyK9F+KU3nSDtwAnBn/z0Si\nGwEbM6ZjuY7BgrsZ76o3apJJFjQ1MTU2C1xYXc2UCk3W1MRRpH/rSXL1ccL5tnPbsYPzX5z+bbfd\nBgKfA66M/4xDD/0ndXUhvO3sQMEDBgzY6QStXOXjmTSRQlFHMgWnOJUngwYO5CxgKfBn4HbChcLm\nceM4sa5uq2XzOVhwvpO1UlITR+nLsjue2ftINRrIZbvJlbsfVIRyCHDyySP53/+9g1TqYuC3DB/+\nAA8+eEFeA8zOJmgi0juqVS08xan8qUkmWRRrkD4MfGf4cEbPmsX0urqC/2bzmayJSP51rpW9ZtQo\nRi1bpnjWSU/GucLMPmJmX4ivh5nZYYUtVv+TTqe5445VnH76UObMWUpDw0AeffQS9tprr1IXrSLo\nmTQpV1vXqg6MtapLS12sPkdxKn+Gnn46F48fz9I5c7jk0UeZOHOmLp56Qc+jSV+VXSs7EKhfubKj\nFku22G7NlZldSOi+7u3ADwkDM14PjC1s0fqPLXe2Q5OLceMamTRpXxobl6oJUQ/l45k0EalMilP5\nkX1XegLQuH49dxGaCmrcqZ7rS00cRaT3elJz9XGghviQsLv/AxhSyEL1N53vbLe2TmfWrMeor/8g\ntbWLtulpSL3i5ZZp8jhjxgQFMikbqlUtCsWpPOh8V3p6ayuPzZrFpvp6bhg/vtt4o97xtpZp4jhh\nxgzFI+kzOtfKNowapVrZHHqSXK139w0FL4kAaWAJcCdwGNBEKjWYT35ydkewytRy1dePp75+fM7k\nS0TKR6ZWtaGhhYaGFj1vVRiKU3mWJkQigA8DA1pbuWv+/NzLxhqv8fX1jK+vZ1FtreKSSB/UUSvb\n0EBLQwPHzp2reJZDT5Krv5vZOAiDNZrZxcAfC1us/iWZrGHcuJ8CC4HxhA6vXgHOAqpoajq/I4na\nkec30uk0a9euZ+3a9WUR8FTzJv2NalULTnEqDzJ3pV8jRKMJwAXALcBk4LH77sv5uc41XlNTqa2e\nw0in07yxdi1vrF1b9ud81cCJdC+7VraqqqrUxSlLPUmuZgGXAEcAbwAfAs4rYJn6nUQiwaRJw4Dp\nsKVBBvBb4HFg8w4/BJ+p6Xrppd156aXdqa1dxCuvvFKy5EY1byJSAIpTeZC5K33N5MlbRaOphGi0\nIzK1Wru/9DK7v/RySWu1tpc4qQZORPKh2+TKzIYC7wDOAPYC9nX3j7j788UoXH8ycODAHFOXAyMI\n1wy3kko9yuTJY3v1/MaWmq4glTqD0aPnlyy5Uc9pIpJPilP5lUgkeF91NbB1Q/VfAxs3b86ZmHTX\nO16mVmsAMIBta7WKpSeJ0/Zq4EREeqLL5MrMzgKeJpxX/wYc7+5ri1Ww/iaZrGHUqGugIzxdDRxE\naCZ4GHAGTU3nM3HiL1m8+D924vmN37J69RdRciMilU5xqjBqkkm+ccABWzVUfxdw/q235kxMOj+H\nMaW5ueyavypxEpFi6a7m6mJgjLsPA04jVJ9IgSQSCebOPZaGhhbOPPNK4FCgDvgd2c0FU6mpNDUt\n6/HzG1t6KguGD3+gcDvRA+o5TUTySHGqABKJBK8OH75V08CvEqJRV4lJV73jZWq12oF2ynvMJ41P\nJSL50F1ytdndVwG4+73AW4tTpP6rqqqKZLKGZ57ZE7g3L+vM9FS2zz7r2Wef9Tz44AUlTW7Uc5qI\n5JHiVAGk02nWr1qVl3VlarXW7zOU9fsMLVmtVk8Sp0qogROR8tfdIMJVZnZ4fD0ASGS9x90fK2jJ\n+qnGxqUsW3YgoafA2cDngBuAswFiMjSlV+tMJBIkhuwOQDqR4PTT92b//a9mzJh3U1dX/OQm03Oa\niMhOUpwqgKWNjYx/9VWuB5Jx2ncJvYZkEpMpvajRSSQSMGRI5k0+i7qVdDrdUaPWedDjng7sm6mB\nExHZUd0lV7sTnmXNGNDp/cEFKZFEewEzgaVAgre8ZRof+9iRXHvt53c4GWpvb6e2dlHsUOJjPPvs\nAurq8lhkEZHiUpwqkEGEkZlb4vvPAnPPPJORJ5zAf0ye3GUSUyptbW0sqq1lWioFwIKmpm1qnpQ4\niUgxdJlcuftBRSyHRMlkDYsW3UBra6a2ahyJxFW88cZCbr4Znn9+wQ43pVu3Lp3VUx+xM4sW1SKJ\nSEVSnCqMmmSSH157LS+uWhXbTMD1Y8dy/g03AGw3iSmFVXfcQV3ssALCc2EtjY1KpkSk6HoyzpUU\nUSKR4O67pzNnzj5Mnnw1Z545l3T6YtS7n4iIFEMikWDMj37EPnPmcPXkydw5Zw7T77mHRCKhXvdE\nRLZDyVUZSiQSzJx5Gjfd9DVOOGFk3tY7eHBCPfWJiMh2VVVVcdrMmXztppuYOHNmyWumtmfkySer\npz8RKQtKrspcrq7LJ08ey7x5S5g3b0mvBgAeMGCAeuoTEZEdNnbyZGaPGFF2SUxVVZV6+hORstBd\nhxZSBjJdlzc2hseKJ048idGj58eBgKGpqXfPYKmnPhER2RHpdJpfTpzIjNWruQv4/fDhjDzlFJY2\nNpZFxxbqsEJEyoFqripAJiFKJmsYN25OTKz0DJaIiBRP5nmrIcCpwGVr1pA4/3zG19ezqLa2Vy0p\nRET6KiVXFaSxcSlr1hxX6mKIiIgAofmLOrYQEdlCyVWZSqfTXTxX9WFgyzNYI0b8QJ1SiIhI3qXT\naZbMm8eSefNIp9PUJJNbdRpxI6DoIyKyNT1zVYbS6XTWYL9bnqtKJmtoalpEKnUGcCfDhz/AAw9c\nUPJ27iIi0rd0NSjvlOZmWhob2bhxI5tvuYVdWls7OraYUgYdW4iIlJqSqzLU2Lg0JlabgaWkUkOZ\nP/8uZs48LXZusRQYSDJ5iRIrERHJu8ygvCEKwdBUirvmz+e0mTM7Oo1I19XREpsCTimDDi1ERMqB\nkquylQZuAULt1dy5s6mrS6u3PxERKYqtoxDMnjuXdF1dRxKl3vlERLalZ67KSFtbG/PmLWHjxo0c\ncsg3CSEt9Aq4evW56hVQRESKYuTJJ/PNQw5hH+BuQjuKc1evVqcVIiLboZqrMpFOp5k580FWrjwH\ngOHDnXDfcGBJyyUiIv3TPrvswknx9QLgjFIWRkSkQqjmqkw0Ni6NiVWoqVqz5jz22+9iMr0CVlcv\nVK+AIiJScOl0msWXXcaX1qyJEQmmAt8ZPpwadVohItItJVdl7MUX92G//T7PVVf9iubmKXpYWERE\nCiqdTrOotpaxd9+9zbzRs2YpDomIbIeSqzKRTNYwatQ10DGCyJXAebz44jXMm/dUr9fX9ThZIiIi\nuS1tbGRaKkU18F2yItKee/KhadO6/3AX0uk0b6xdyxtr1yoeiUifp+SqTCQSCebOPZbJk68mJFaz\ngCHsSGcWmXGy6uvHU18/ntraRbS3txeo5CIi0tcsI0Shlvhv5quvsqypqdfrydSE7f7Sy+z+0sss\nqq1VgiUifZqSqzJSVVXF9dd/keHDXwd2vOnFlnGyQmv5VGoq69Z1H8xU0yUiIjXJJAuqq9lIiEIT\n4r8djUiZmrABwABgairVqx4H0+k0S+bNY8m8eYpNIlIRlFyVmUQiwYMPXsCIEbMpVmcWuWq6FMRE\nRPqfRCLBlOZm/vblLzN7xIiOZoELq6uL3plFptZrfH094+vrVeslIhVByVUZ2muvvXjkkZk0NLTQ\n0NDS684skskaqqsXkJ2cDR7c9edz1XRpTC0Rkf4pkUjwgcmTmfnII7Q0NNDS0MCU5uYd6swiUxPW\nDrTTuyQtU+vV0WNhL2u9RERKoSzHuTKzWmA2sCvwE3e/osRFKorMIMIQEqQZMybs0HoSiQTNzVNo\nbGyJ65rCgN98I2/lFBGRvh2r2traOhKZmmRyh3sJzNSErf/FAQA7nKSJiFSKsqu5MrNdgR8CtcDh\nwMfN7D2lLVXhZQYRzlfTvEQiwYwZE5gxY8J2A1mumi6NqSUi0rW+HKvS6TQPzpyZt+Z4iUSCtwwZ\nwluGDOlVYpWp9Spl00QRkd4qu+QKGA2scfen3H0j0AScWuIyFVznQYSL2TQvU9O1o80QRUT6oT4b\nq5Y2NnLOypUlb46XqfXa2aaJIiLFVI7NAg8A/pH1/mnguBKVpaRSqUdJJmuKEkwyNV0iItIj/SpW\nPZpK7VTzwB2VSCSYMGNGUbcpIrIzyjG56vWATCtWrChEOYrqyCP3ZtSoa1i5sj5OuZGmps/z5z9f\ny9y5x1JVVbVT6z+ibQMAfyziseoL30tGX9mXvrIfoH2RkuuzsWrvI4/kmlGjqF+5EoAbgc83NXHt\nn//MsXPn7lA8KkYMqpTjm63Sylxp5YXKK7PKW/nKMbl6Bjgw6/2BhDuCXTr66KMLWqBimTsX5s69\nmqam9wBTgQQrV9bzyCMtO1+r9PQgoHjHasWKFX3me+kr+9JX9gO0L+WqnwXZvh2r5s7l6rlzeU9T\nU4xGUL9yJS2PPLJjNUkFjkGV+HdUaWWutPJC5ZVZ5S28YsSpcnzm6iFghJkdZGaDgLOA20tcpqKo\nqqqiuvp9wEnszCDCIiJScH06VlVVVfG+6mpFIxGRXiq75MrdNwFfAH4DPAb83N0fL22pimfrnvte\nY/jwS9m4caMGThQRKSP9IVZleut7DVgMXDp8OGMnTy51sUREylo5NgvE3e8C7ip1OUoh03Pf/PlL\nmDt3DatXX8asWXDrrQvUi5+ISBnp67EqkUjwH4sXc+3o0Xxx9WomrFnDgokT1WufiEg3yq7mSkJA\nGzhwEKtXf5FSdM0uIiICsKypiS+uXl3ybtlFRCqFkisREREREZE8UHJVprZ+9moD1dULSSZrSl0s\nERHpRzLPXYVIBAurq6lJJktcKhGR8lWWz1zJlmevGhtbAEgm9byViIgUVyKRYEpzMy2xKeCUEgwk\nLCJSSZRclbFEIrHz41uJiIjshEQisWNjW4mI9ENqFigiIiIiIpIHSq5ERERERETyQMmViIiIiIhI\nHii5EhERERERyQN1aFHG0ul0x8DByWSNemgSEZGSSqfTHYMI16jnQBGRbSi5KlPpdJra2kWkUtMA\naGpaQHOzumMXEZHSSKfTLKqtZVoqBcCCpiamNDcrLomIZFGzwDLV2Lg0JlYDgYGkUlM7arFERESK\nbWljI9NSqRiVYGoq1VGLJSIigZIrERERERGRPFByVaaSyRqqqxcAG4ANVFcvJJmsKXWxRESkn6pJ\nJllQXR2jEiysrqYmmSxxqUREyoueuSpTiUSC5uYpNDa2AJBM6nkrEREpnUQiwZTmZlpiU8Ap6tBC\nRGQbSq7KWCKRYMaMCaUuhoiICBDi0oQZM0pdDBGRsqVmgSIiIiIiInmg5EpERERERCQPlFyJiIiI\niIjkgZIrERERERGRPFByJSIiIiIikgdKrkRERERERPJAyZWIiIiIiEgeKLkSERERERHJAyVXIiIi\nIiIieaDkSkREREREJA+UXImIiIiIiOSBkisREREREZE8UHIlIiIiIiKSB0quRERERERE8kDJlYiI\niIiISB4ouRIREREREckDJVciIiIiIiJ5oORKREREREQkD5RciYiIiIiI5MFupS6A5JZOp2lsXApA\nMllDIpEocYlERKS/SafTLG1sBKAmmVQsEhHZDiVXZSidTlNbu4hUahoATU0LaG6eoqAmIiJFk06n\nWVRby7RUCoAFTU1MaW5WLBIR6YaaBZahxsalMbEaCAwklZraUYslIiJSDEsbG5mWSsVIBFNTqY5a\nLBERyU3JlYiIiIiISB4ouSpDyWQN1dULgA3ABqqrF5JM1pS6WCIi0o/UJJMsqK6OkQgWVldTk0yW\nuFQiIuVNz1yVoUQiQXPzFBobWwBIJvW8lYiIFFcikWBKczMtsSngFHVoISKyXUquylQikWDGjAml\nLoaIiPRjiUSCCTNmlLoYIiIVQ80CRURERERE8kDJlYiIiIiISB4ouRIREREREckDJVciIiIiIiJ5\noORKREREREQkD5RciYiIiIiI5IGSKxERERERkTxQciUiIiIiIpIHSq5ERERERETyQMmViIiIiIhI\nHii5EhERERERyQMlVyIiIiIiInmg5EpERERERCQPdivFRs3sUuAzwItx0kXuflecdyHwKWAzMMvd\n7y5FGUVEpP9SnBIRkR1RkuQKaAeudversyea2eHAWcDhwAHAPWZ2mLu/WYIyiohI/6U4JSIivVbK\nZoEDckw7FbjJ3Te6+1PAGmB0UUslIiISKE6JiEivlDK5mmlmfzCz68xsrzjtHcDTWcs8TbgzKCIi\nUmyKUyIi0isD2tvbC7JiM2sB3p5j1n8Cv2dLO/ZvAvu7+6fNbC7we3f/WVzHT4A73f2XXW1nxYoV\nhdkBERHptaOPPjpXbU9ZKlacAsUqEZFyUeg4VbBnrtz9oz1ZLgamO+LbZ4ADs2a/M07rUiUFchER\nKR/FilOgWCUi0l+UpFmgme2f9fY04NH4+nZgspkNMrODgRHAA8Uun4iI9G+KUyIisiNK1VvgFWY2\nktAb01+BzwG4+2NmdjPwGLAJOMfd1ZRCRESKTXFKRER6rWDPXImIiIiIiPQnpewtUEREREREpM9Q\nciUiIiIiIpIHSq5ERERERETyoFQdWmzFzCYBlwLvBo5195VZ8y4EPgVsBma5+91x+tFAI5AgjDFy\nbpxeBdwIjAJeAs5y97/FedMJ45cAfMvdb4zTDwaagKHACmCau28s4C5vw8xqgdnArsBP3P2KYm4/\nqxw/BSYAL7j7++K0ocDPgXcBTwFnuvsrcV7Bv58d3I8D43beRngg/cfuPqdC9yUBpIAqYBDwK3e/\nsBL3JWufdgUeAp5295MrcV/M7CngtViuje4+uhL3I65vL+AnwHsJfy+fBFZX4r4Ug5ldCnyGLeNg\nXeTud8V5FX1sSh2LSvl31YsyVlSc7KK8l1Kmv+FKjN/dlPlSyvA4V9p1RTflLcvjWy41V48SUe7U\ndgAAFVFJREFUurr9XfZEMzscOAs4HKgFrjGzzFghDcCn3X0EMCIGBIBPAy/F6d8HrojrGgpcAoyO\n/75uZnvGz1wBXBU/86+4jqKJF5o/JOzj4cDHzew9xSxDlutjObJ9DWhx98OApfF9Mb6fvXZiPzYC\n57n7e4Hjgc/HY1px++LuaeAEdx8JHAmcYGYfqMR9yXIuobe1TI86lbgv7cCH3P0odx9dwfsB8ANC\nkHkP4Tf2RAXvSzG0A1fH7/6orGBe0cemTGJRSf6ueqnS4mSu8pbzb7gS43dXZS7L41xp1xXdlLcs\nj29ZJFfu/oS7/znHrFOBm9x9o7s/BawBjrMw/sgQd8+MLXIjMDG+PgW4Ib6+FaiJr/8duNvdX4lZ\neAtwYjzYJwC/iMvdkLWuYhkNrHH3pzzUmDUR9r3o3L2VkGBmyz6m2cen0N9P52DQm/14zt1Xxdfr\ngMeBAypxX+I+vBFfDiLcUf5Xpe6Lmb0TOIlQU5I52VXkvmSVP6Pi9iPeZBrn7j8FcPdN7v5qJe5L\nkeUaFLjSj025xKJS/F31WKXFyS7KC2X6G67E+N1NmaF8j3NFXVd0UV4ow+NbFslVN94BPJ31/mnC\nj7Xz9GfY8iM+APgHhIsE4FUz26ebdQ0FXnH3N3Osq1g6ytypbOVimLs/H18/DwyLr4vx/ew0MzsI\nOAq4v1L3xcx2MbNVscz3uvufKnVfCHeEvgK8mTWtEvelHbjHzB4ys7oK3o+DgRfN7HozW2lm881s\njwrdl2KaaWZ/MLPrsu5iVvqxKYdYVIq/q6F5KHcl/r2U/W+4EuN3Vpl/HyeV5XGutOuKLsoLZXh8\ni5ZcmVmLmT2a49/JxSpDDuUyyFe5lGO7PAyWWTHlNbPBhDsQ57r72ux5lbQv7v6mh+rwdwIfNLMT\nOs2viH0xs48R2v0/TO67TRWzL8BYdz8KOJHQBGRc9swK2o/dCG3Mr3H3UcDrxKYgGRW0L3nTTcw6\nhdCs5GBgJPAscFVJC5s/5fAdV/zfVSWUkQr4DVdi/I5l/gWhzOso4+NcadcVOcr7Icr0+BYtuXL3\nj7r7+3L8u6Objz0DHJj1/p2EjPGZ+Lrz9Mxn/h+Ame0G7OnuL+VY14Fx2svAXma2S9a6ntmhndxx\nucr2dBfLlsLzZvZ2gFil+kKcXujvZ6eOgZkNJJyYF7j74krel4zYXGsJcHSF7ssY4BQz+ytwE/Bh\nM1tQifvi7s/G/18EbiM0qaq4/YiffdrdH4zvf0FItp6rwH3Jm25i1u3u/oK7t8eLj58Qvnuo/GNT\n8u+jRH9XL+eh6BX1t1/uv+FKjN9ZZV6YKXO5H+dYxoq6rsgq7zHlenzLsVlg9t3s24HJZjbIQo9+\nI4AH3P054DUzOy4+MzUN+FXWZ6bH12cQHsgDuBsYb2Z7mdnewEeB38Qv5F5gUlxuOpD5Qy6WhwgP\n1R1kZoMID+HdXuQydCf7mGYfn4J/Pzta4Ljd64DH3H12he/LvpmqbjPbPa7v4UrcF3e/yN0PdPeD\ngcnAb919WqXti5m9xcyGxNd7AOMJHfNU1H5AeFYA+IeZHRYnfQT4E3BHpe1LscSLjozTCN89VP6x\nKWksKvHf1c6qqL/9cv4NV2L87qrM5XqcK+26oqvyZhLBqGyO727dzSwWMzsNmAPsCywxs4fd/UR3\nf8zMbib0KrYJOCcmQwDnELpS3J3Qy1VznH4dsMDMVhO6UpwM4O4vm9k3gczd2cs8di8JfBVoMrNv\nASvjOorG3TeZ2RcIX9auwHXu/ngxy5BhZjcB1cC+ZvYPQg8p3wFuNrNPE7vmjOUu1vezI8YCU4FH\nzOzhOO3CCt2X/YEbLNSu7kK4k7c07lel7UtnmXJV2vcyDLjNzCCcR3/m7neb2UMVth8ZM4GfxQvq\nJwldse9aoftSDFeY2UjC7/evwOeg8o9NGcSikv1d9Ualxckc5f068KEy/g1XYvzOVeaLCD1uluNx\nrrTriq7Ke2M5Ht8B7e1l05xSRERERESkYpVjs0AREREREZGKo+RKREREREQkD5RciYiIiIiI5IGS\nKxERERERkTxQciUiIiIiIpIHSq5ERERERETyoCzGuZLSi+MBfM/dHzCzS4F64P+yFrnO3X/Yad4A\n4A1ghrs/EtfzJjAEWAgcFD/7b4SB3d4EnnP3E+NymcHeEsAK4JvZY6qY2a7A34EH3X1ijjLfA5xL\nGAA6Z3l37Ghsy8yeAk5y98fytc4dLMfbge8SxtR4hTB+w3x3/0mBtncp8G133xjfX0kYiO+WQmwv\na5v1hFHR9wBeJfyefujub+ZxO3XABYTf8V3ArKxxMESkwHLEnUuA4939gTj/UmAPd//KdtZTDQxy\n95Yu5vdoPaVmZh8AznX3SVkxMnPOaweOy5yL87CtJDDB3SflY307WZZPAOcTxh16HVgNXODu/yjA\ntrb6rZjZ2wiDyI4p5Pm/J9c8edjGMGAB8C5gPfDZzN+SFJeSK8HM/g3YL+uPsB24wd0vyLH4VvPM\nrJ4wsN9J2cu4+2lZ638TeL+7v9FpXe939zfiKNmfBZaZ2Sh3fyrOrwX+DIw2s7e5+wtZ69wLeIe7\n/8nMzuimvPlS8otuM3sLkAJ+6u5nx2lvZQcGweyFS4ArgUxAv5owWnnBkiu2/Y0dTEiuDiUk0zst\nrvMSYCTwMiG5mkoITCJSYF3Enb8BlwM1WdN64gTCjZicyVUv1lNqE4Hbst7nipv5UhbHxMw+A5wH\nnOLuT8Zp1cDbgbwnV3T6rbj7C3Hg3DOBnxdge9m2d82zsy4H/sfd/9vMxhLi5mF5Wrf0gpIrAfgM\ncFOnaQO6WT573l6Ei9MdFu8WXWtmHyKMnJ1Jkj4FzAfGAGcD38v62ARgyfbKa2aNQBoYQbg4Xxw/\ndwnwTuD77j4nLvsU4Th8FNgTmO3uP8qxzuHAtcC+hJqji9z9N2b2FeBd7v6FuNww4A+EGrw3gW8D\nHwSqgEeAend/PSZIVwPvI9zRuhf4Uo5aminAP939iqxj9xrw46ztzQMOicfjSndfEOe9CQzOBOrs\n9/H1fwKnAfsAX3H3X5pZZt+Xx2Wq3f1ZM/unmY1x9+U5js2xwBzgLYQ7kLPc/SEzOwh4KJbvpDj/\n0+6+rPM6oo7v093/amafAh41s4sJd+R+Hcu6O/AA8Dl332hmjwKfdPeHYnm+BJi7f67T+s8AbnP3\nl+Jy84FPouRKpFhyxZ1bgY+Y2Xh3v7vzB8zsq8B/EK5dngHqgLcBnwN2MbOPADe5+3e72missZlC\niFtHEFoAnO7uz8f5FwIfJ5yzX3f3sVnbnhpX8yAwM56/LwXeTWixcRjwMKF1wZXAgcAvs24U7U84\nP/4/wrnrJne/PKt4JwHfzHq/TVzLOpf+mHADcndgGqG2/1hCa5JT3f35uK+fiNOGA88B09z9/zqv\nO9f+AZuBvwCj3P25uNwc4Fl3v9zMjiNc0L81fu4Sd78zLncScBEhpm0AznP3+zvvD/B14FOZxArA\n3VNZ5Tob+DIhGXyScK5/sXNtZPb7+NpiuQ6Jn5sUj0Gu38rPCTFwm+QqtqC5Avj3OKkZ+Kq7vxmv\nL9YTvvcDgf919+k59nErua55zGwKMAsYFBf7srv/1swmAdPd/WOxPFXAU8Cx7v50p1VPItRa4e7L\nzKzNzI7JxEMpHj1zJRDu5Pxv1vsBwNlm9nDWv9oc8/5GOAFflqdy3A+8F8DM9gWqgV8CNxIufLNN\nJFTlb6+8AIcTgtB7CEFzsruPIzSt+3asEYJw8t7P3Y+J8y4ysyNylPNnwEJ3/zdCMFpoZvsAPwFO\nz1rfZ4GfuXuakDC+4u7HuftI4Fngwrjc1YS7TccBRwHDCIllZ6PiMerKHOCRWK7xwHfM7PBuls/2\nqruPJgTpOQDu/vk47/3uflRM5ACWs+XOcgczG0S4OLooluG/gFvNLHMTZyiw3N1HAd8gBKwecXcn\nXCCYu28Cprj7sYSEdFe2HK8fEoIV8e7gjDitswMJTU4z/hGniUhxdI47EM7BFwH/Hd93JABmNpVw\noXy8ux9NqG2+yt0fJdy0uSGep7pMrLIcA5zv7kcAjxHiGGY2HTiZcM4bCWQuaE8knOvf7+6Zc85/\nZa1vFKEFgREutL9NOAcfCUw3s0PjcjcCc+K5/hjgpHiRj5m9l5C0vJq13uVZMW1x1vShQGs8l14H\n3AP8wN2PJDQ3+0LWsmMJF+rvJbR8+EHng9HV/sXYdQMhlmFmg4GzgPmx9UgD4Vx8TDxu15rZW+P+\nXgycGOfVATfn2O7bgAPoIq7F+Hs58NEYU/4IzI2zO9e8tXeadjTwcXd/DzAQ+EQ3v5UHgPdnxaps\nnyU82nAU4Xs+KnM8ovcCJ8b/j858nz3Ucc0DNLv78fE7/TjhuEOoyTwiJtUQatiWd06s4jXIAHfP\nvtn9dxTXSkLJlQAcTLgLmJFplnVU1r/mHPPeBXyV/FWlZ/8epwF3uHs6NhvZxcyOh447N0cDmVqP\n7ZV3sbtvdPf1gBNrvOLdu38RarAyrovzXojLnZBdQDMbAvybu18fl3scWEUISv8CbickersR7sxe\nEz96CjA1EygJgeiQrHlfidNXEE7eI3Icn3a6r1GsIdSoEe8y3gl8uJvlszXF/+8H3hETpa48nVX2\nbAa0ufu9sQxLCXcsLc5fl7mrGbdz6Lar6NYAADPbhS3H6w+EfRwZl1kI/LuZ7U240/hcDKgiUl46\nxx0ITcrvBNbHO/bZF8unAB8BVsa//XOId+kJ54buzo2dLXP3zLZ/z5Zz0ceAa9z9dYB4Tidu9yZ3\nXxff/zhOy2h297WxtcEjwG9izHmDEHMONbM9gA8Bc2L57yc0fXt3XMephJYV2d6fFdOynzte5+53\nxdcPA//w+NwzIYYMz1q21d1Xx9c/IXdM6G7/rgE+GWtwpsZ9+yehRcnBwF1xf+4k1PaNIJx7DwV+\nF+ctBHY1s/1ybLs7JwBLMrWKhPiWKVeu7zt7WnPWDcHseLPNbyVeG7wBvCPHOmuA6919k4fn3a7P\nKkPm+mJDnLeS3sW17Gue4WZ2t5n9kRCP3x4fh9hE2O8ZcbnPA9u0qOlGWTT/7G/ULFC60tNmgb8A\nbjCzfTw2sdoJx7Llgc9PAvuZ2V/j+7cSaid+TzjZ/Y9v/fBpd+Vty3q9mdBMMPt99t/BgE6vc56Y\nzGxAp+1nXs8l1Gy9CDye3dSB0Azwf7oo46m+/XbXK8ldo5Wtq/JvJp7IzSyR43NpAHffbGYQjsmG\nHm6npzp/Dz0+/1go1O7AE4RmLmOBD3holnMhsV15fL+IcJyq6ToI/Z0tF2YQmukUon2/iPRc5rzy\nNcKNrs7Pdn7T3RtzfK63F5DZMeBNtpyLurqB1Xl652U6n9tynet2ids6xt0359jGKYRaiZ7oLqZl\n70/nsnZ13u5y/9z9H2b2EKG1yDmEWqiMR9y9uvPKYnPB5u01kfPwvNMzwHHkfl6uu+O+ia2Tk93Z\n8jtoZ9tjtHt3ZcmxrWzdXRfscFxj62uemwhNJ2+PrS7eIDSphJDsPmxmdwB7uvtvO6/I3V8yMzpd\niymulYhqrgRC+93s2pueJlYQ7iz9cwcTq46aCAs9t40HGuJzO3u6+/7ufrC7H0xo/jXJzHYn3OH7\nVef19Ha7XUjGMu1HqOq/N3umu68l1FRNj8u9h9Bk4Pdx/h+Bl4Dvs3VztNuB8zOJjZkNMbN3Z827\nMNbIYGb7ZjUByHYTIeH8cmZCbIKRCXb3EAOfhV4FTwQyJ+E1wOj4eko3+9/ZWsJzddneSWiH35kD\ng2I7cszsw4RA473YHmz7LMBBhAuta+Kd1T0Jv7nXzWxPQrKVHex+BHyR0ITj1i62cSswMR7rXQjH\nrdAPM4vIFk/RRdzx8Czmarb+274d+HxsjoaZVZnZkXHea4TzQld6GiN+DdTH5m+ZplYQzq1nmdng\neOH7GULHPj0WY0crW5qDY2YHmtkwM3sHUOXuf+/0sR25idXZWAvPCUO4abk0xzLb27+5wGxgg295\nbmo5MCJzvoeOZ26Jn63NbpaeNa+zbwJXm9khWct+MC5/L6Hp5LA4qy6rXKsJzfA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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "V1 Correlation: (-0.076222092034244668, 0.46773141260462403)\n", "V2 Correlation: (-0.099007267404725, 0.34506709394530122)\n" ] }, { "data": { "image/png": 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zzpdx8MF7MW2aU+4kSaXXtUjtmo4OXl6wgOkrVnAr8Ls99+QrixaZ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "V1 Correlation: (-0.24082616689519279, 0.013333629952411505)\n", "V2 Correlation: (-0.21172591444799743, 0.030142030639642332)\n" ] }, { "data": { "image/png": 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DvVlHx7Cc7ByVPDb96+/YvHvdegDuGsPHzs9N/zw2I8s8lb4sxwbZjm9dxvNF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\nYyd0vO/uux8FYOrUY6isrOyy9e23PxykXu9s6bn66hs444x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fkaFL9VT4MluT5mYJMEaN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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "V1 Correlation: (0.084329014631931362, 0.30325594293639518)\n", "V2 Correlation: (0.079052655861446067, 0.33461795760383783)\n" ] }, { "data": { "image/png": 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HH86ECRM46qij+PznP98ve4d0jf03v/kNv/jFL4Dir0OS1LfMUwMjT1l0SRq0Hn30UebN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\nkYGmOCUiIpul4JIudz+tl32XA5cPYHFEREQ6UZwSEZHN1dvshSIiIiI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BrnX3X+Q45zjg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\nrkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "V1 Correlation: (-0.16097330056391496, 0.055650356944899983)\n", "V2 Correlation: (0.179951492678465, 0.032117779008799592)\n" ] }, { "data": { "image/png": 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jj3DEEUcQDoeTes3GjRu7cEYdax37iBEjOOuss4CunYeIiKSG8lT25CkVXSLSY7311lsM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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "V1 Correlation: (0.023430234087300363, 0.76797832551805056)\n", "V2 Correlation: (0.057091843572247947, 0.47192111841485096)\n" ] }, { "data": { "image/png": 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5SkREfCFZ0eVYa9s6H7TW7gY0J8DDHMehqqqWqqrapNM3gsESiouriXZbbqG4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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "V1 Correlation: (-0.1474273629173557, 0.060378915427558716)\n", "V2 Correlation: (-0.13705689856402417, 0.08105429021209215)\n" ] }, { "data": { "image/png": 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LfTZdKaU+VzYcCiml+4E3bmL/M8ARfbznfOD8LOuSJNUHc0qSVC8yDSxJkiRJ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\na0ppRUTcDlwREadQWYoXIKV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vJobFYiMNDa3AamB1ZVpiY83qlKQaMqfqVKlUYtn8+Syb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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "V1 Correlation: (-0.037781736029093904, 0.63312734932786841)\n", "V2 Correlation: (-0.033045801194814921, 0.67634091561565191)\n" ] }, { "data": { "image/png": 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U5iE2ERGRfilPiYhIUGRb0/XZXpcvBb5irf0UcBJwma9RiYiIDEx5SkREAsFr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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "V1 Correlation: (-0.040625884134787939, 0.64116880958631661)\n", "V2 Correlation: (-0.016445917251917248, 0.85040284515072351)\n" ] }, { "data": { "image/png": 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PdBgiIlmv06LLGDMM+DEQ2+dkM1BprX3d4bhERES6pDwlIiLZIOGaLmPMMcAm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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "V1 Correlation: (0.053939031503976671, 0.4622313023014446)\n", "V2 Correlation: (0.053301047929477208, 0.46755092671358078)\n" ] }, { "data": { "image/png": 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PSZKGhd6mF34H+FWhFe+vgSUhhGuAI4GbhyI4SZJ6YZ6SJA0LPX4TGGP8OXA6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b5HAutIr5dp8pqUPSuD8SAYZeH4Z+JyzexZXIgH+cqXTYPjPKXznpQ2Hnhd0o+pjm2F387C50Bz\nqGYC7md+C24pG90gb9AmOvbuDUlnUI6k84ApZtas/0+PkSQLE81sRBvK3oy/s+SA3sUl6XlcWvjM\nwWlZ70EeeWuRuUN2r0QeDXIdLuH5rqfbEwRBOYfS2NNuJL2Fj20ru8zcWrljOAjv4pK/ZmMpcIZ5\ncI3/FJJmAEvM7OUuM/cQ8ui9A83s7p5uS9CYkBcGlZjZF7iFp8r032sws0/bseA6GEg6SdJ63Im2\nFSfXQ4n7cQtdr0TSWGAt/rLVWHAFQS/mUBp72o2ZDTvYC65EmRWuJSQ9CizBX2XyX1xwHY8HsOq1\nEnNJa4HrqH+dQNBLCUtXEARBEARBEARBGwlLVxAEQRAEQRAEQRuJRVcQBEEQBEEQBEEbiUVXEARB\nEARBEARBG4lFVxAEQRAEQRAEQRuJRVcQBEEQBEEQBEEb+QfixBPu/lmDhQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "V1 Correlation: (0.049112506621982369, 0.50100574270132336)\n", "V2 Correlation: (-0.043704486308273158, 0.54934922378802287)\n" ] }, { "data": { "image/png": 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M9wMjkwtJkqR+M09JkkpWb3O6dg4h/AgYBmwXQhgRY9yQe21E8qFJktQr85Qk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\n9RhwewhhCdnNJgHaHCtfevLpVSrEUDr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vEI0uDVpbW4MgCILW1tYgFlsTxGJrOrf1dMyK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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "V1 Correlation: (0.20127572531673857, 0.0097555458342217481)\n", "V2 Correlation: (0.29102375848860362, 0.00015646376875606146)\n" ] }, { "data": { "image/png": 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kSUWhq5a6TTHGDTHGfwCNMcanAGKML/ZNaJIkdck8JUkqCl0VXW0fO6/dYyUJ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "V1 Correlation: (0.010104366611739237, 0.8932099935846961)\n", "V2 Correlation: (-0.026691794591659684, 0.72283440623895823)\n" ] } ], "source": [ "# Now we've collected all the data points. Time to plot.\n", " \n", "# We make two plots for each year -- one for V1, and one for V2. \n", "# We make these plots for each year separately so we can look \n", "# for particularly striking differences between years.\n", "for i in range(13):\n", " year = years[i]\n", "\n", " dataThisYear = dataPointsByYear[year]\n", " # make lists of v1 scores, v2 scores, and percent change, so we can plot them!\n", " v1s = [v1 for (v1,v2,delta,sid) in dataThisYear]\n", " v2s = [v2 for (v1,v2,delta,sid) in dataThisYear]\n", " deltas = [delta for (v1,v2,delta,sid) in dataThisYear]\n", " deltaMean = np.mean(deltas)\n", " # calculate the 90th percentile\n", " v1pctile = np.percentile(v1s,90)\n", " v2pctile = np.percentile(v2s,90)\n", " \n", " # make the plot on the left (V1)\n", " plt.subplot(121)\n", " plt.scatter(v1s,deltas,c='blue')\n", " # add a line to show what the average percentage price change was\n", " plt.axhline(y=deltaMean, label='Mean % Change', color='green')\n", " # add a line to show what the 90th percentile in terms of V1 was\n", " plt.axvline(x=v1pctile, label='90th Percentile',color='orange')\n", " plt.legend(loc='upper right')\n", " plt.title(str(year)+\": V1\")\n", " plt.xlabel(\"(EBITDA/Employee Count) on Day 0\")\n", " plt.ylabel(\"Percentage Change in Stock Price over 365 Days\")\n", "\n", " # make the plot on the right (V2)\n", " plt.subplot(122)\n", " plt.scatter(v2s,deltas,c='red')\n", " # add a line on the plot to show what the average percentage price change was\n", " plt.axhline(y=deltaMean, label='Mean % Change', color='green')\n", " # add a line on the plot to show what the 90th percentile in terms of V1 was\n", " plt.axvline(x=v2pctile, label='90th Percentile',color='orange')\n", " plt.legend(loc='upper right')\n", " plt.title(str(year)+\": V2\")\n", " plt.xlabel(\"(Net Income/Employee Count) on Day 0\")\n", " plt.ylabel(\"Percentage Change in Stock Price over 365 Days\")\n", " \n", " # displays the two plots\n", " plt.show()\n", "\n", " # Going to use a Pearson Correlation Coefficient just to summarize.\n", " print \"V1 Correlation: \", pearsonr(v1s, deltas)\n", " print \"V2 Correlation: \", pearsonr(v2s, deltas)\n", " # notably, the output is (correlation coefficient, p-value)\n", " \n", "# Clarification: what do the plots mean? \n", "\n", "# These are scatter plots. Every datapoint represents a stock (i.e. a company), that in that year had\n", "# a certain V1 or V2 (on the x-axis) and a certain % change in stock price that year (on the y-axis).\n", "# For example, on the 2002:V1 plot just below on the right, the red point closest to the top of the graph\n", "# represents a company that had a V2 Score of about 3000 (i.e. had about $3000 in net income per employee).\n", "# The green line, mean % change, just indicates what the average % change in stock price was that year. In\n", "# the V2 graph below, it was about -25%. That's just so you can see more easily how companies performed\n", "# compared to the average. The orange line denotes the 90th percentile of V1 or V2. That means that all\n", "# datapoints to the right of the orange line were in the top 10% of companies by V1 or V2. In the V2 graph\n", "# below, the 90th percentile was at about $20000 in net income per employee. That means that the top 10%\n", "# of companies had at least $20000 in net income per employee. Again, that's just so you can identify\n", "# the top 10% more easily and make visual judgements about them. \n", "\n", "# For example, looking at the V2 graph below on the right and using the orange line, we can count\n", "# 7 companies in the top 10%. Using the green line, we can count that of those 7 companies, 5 of them\n", "# performed under the average! \n", "\n", "# Important: Note the differing scales on the y-axes in the following plots." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot Evaluation\n", "\n", "The numerical results, i.e. the correlations, are generally close to zero. This implies weak correlations between V1 and Percentage Price Change, and between V2 and Percentage Price Change. These results suggest that my initial conjecture is erroneous. \n", "\n", "Beyond that, looking at the mean- and 90th-percentile plots suggest that the top 10% of employee-efficient tech companies in most years actually underperform. I also repeated all these plots for sector code 310 (industry), and with shorter time periods (180 days, 90 days). In both cases, I got results very similar to these. I also ended up testing the initial $\\frac{\\text{Market Cap}}{\\text{Employee Count}}$ ratio, with similar results: it too is (as expected) not indicative of future stock performance.\n", "\n", "Overall, these results suggest that the $V$ metric is not helpful in predicting future stock performance. In other words, it appears that the metrics we have constructed for measuring how efficiently companies use their employees are not viable as trading signals.\n", "\n", "### Backtests\n", "\n", "For some further evidence, we'll now run backtests on each one of the time periods: we'll compose a portfolio of the top 10% stocks by $V_1$ or $V_2$, with a uniform capital allocation to each position, and benchmark the result against SPY." ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Map every year to a list of the top 10% of stocks by V1, V2 for that year\n", "topCompaniesV1 = {}\n", "topCompaniesV2 = {}\n", "\n", "for i in range(13):\n", " year = years[i]\n", " dataThisYear = dataPointsByYear[year]\n", " # make lists of v1 scores and v2 scores\n", " v1s = [v1 for (v1,v2,delta,sid) in dataThisYear]\n", " v2s = [v2 for (v1,v2,delta,sid) in dataThisYear]\n", " # compute 90th percentile\n", " v1pctile = np.percentile(v1s,90)\n", " v2pctile = np.percentile(v2s,90)\n", " # get the top 10% of stocks that year by v1, v2\n", " topv1s = [sid for (v1,v2,delta,sid) in dataThisYear if v1 >= v1pctile]\n", " topv2s = [sid for (v1,v2,delta,sid) in dataThisYear if v2 >= v2pctile]\n", " # map that year to the lists of top 10% stocks by v1, v2\n", " topCompaniesV1[year] = topv1s\n", " topCompaniesV2[year] = topv2s" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Running the Tests\n", "\n", "As discussed above, I want to run (2 sets for every year, 13 years = 26) backtests. I originally planned to do this with `zipline` and run them all from the research notebook itself, but for various reasons, benchmarking and obtaining summary statistics (sharpe, beta, etc.) look as if they might raise some issues. Consequently, I decided to run all those backtests in the IDE instead, and then to import them into this notebook.\n", "\n", "For the sake of completion, a copy of the IDE trading algorithm (commented out) is below:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": true }, "outputs": [ { "data": { "text/plain": [ "'\\ndef initialize(context):\\n # cash limit\\n context.max = 1000000.0\\n context.companies = COMPANIES\\n context.dayCount = 0\\n\\n# define buy-and-hold strategy\\ndef handle_data(context,data):\\n context.dayCount +=1\\n if context.dayCount > 1:\\n return\\n cashPerCompany = context.max / len(context.companies)\\n pricePerCompany = [data[x].price for x in context.companies]\\n for i in range(len(context.companies)):\\n order(context.companies[i], cashPerCompany/pricePerCompany[i])\\n'" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "\"\"\"\n", "def initialize(context):\n", " # cash limit\n", " context.max = 1000000.0\n", " context.companies = COMPANIES\n", " context.dayCount = 0\n", "\n", "# define buy-and-hold strategy\n", "def handle_data(context,data):\n", " context.dayCount +=1\n", " if context.dayCount > 1:\n", " return\n", " cashPerCompany = context.max / len(context.companies)\n", " pricePerCompany = [data[x].price for x in context.companies]\n", " for i in range(len(context.companies)):\n", " order(context.companies[i], cashPerCompany/pricePerCompany[i])\n", "\"\"\"" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# cycle through all sets of top-performing companies for each year\n", "\n", "# note: I have commented out all the print-statements in this section. The printed statements\n", "# are not informative for reading, and they're an overwhelming wall of text.\n", "# You'll need to uncomment them if you want to produce lists of stock ids to copy-paste into the IDE,\n", "# if you want to run similar backtests yourself.\n", "\n", "for i in range(len(years)):\n", " year = years[i]\n", " startDate = dates[i]\n", " endDate = addAYear(startDate)\n", " #print startDate, endDate\n", " for index,companyset in enumerate([topCompaniesV1,topCompaniesV2]):\n", " # printing the lists of stock ids so that I can easily copy-paste them into the IDE.\n", " #print year,\"V\"+str(index+1), \"[\"+(\",\").join([\"sid(\" + str(x) + \")\" for x in companyset[year]]) + \"]\"\n", " pass\n", " #print \" \"\n", " \n", "# I then just copy-pasted the list of SIDs into the COMPANIES field in the algorithm, \n", "# as appropriate when running the backtests. \n", "# Also used the printed dates for every backtest, of course." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Having manually run all the backtests, I now grab all the results:" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "100% Time: 0:00:01|###########################################################|\n", "100% Time: 0:00:01|###########################################################|\n", "100% Time: 0:00:01|###########################################################|\n", "100% Time: 0:00:01|###########################################################|\n", "100% Time: 0:00:01|###########################################################|\n", "100% Time: 0:00:01|###########################################################|\n", "100% Time: 0:00:01|###########################################################|\n", "100% Time: 0:00:01|###########################################################|\n", "100% Time: 0:00:01|###########################################################|\n", "100% Time: 0:00:01|###########################################################|\n", "100% Time: 0:00:01|###########################################################|\n", "100% Time: 0:00:01|###########################################################|\n", "100% Time: 0:00:01|###########################################################|\n", "100% Time: 0:00:01|###########################################################|\n", "100% Time: 0:00:01|###########################################################|\n", "100% Time: 0:00:01|###########################################################|\n", "100% Time: 0:00:01|###########################################################|\n", "100% Time: 0:00:01|###########################################################|\n", "100% Time: 0:00:01|###########################################################|\n", "100% Time: 0:00:01|###########################################################|\n", "100% Time: 0:00:01|###########################################################|\n", "100% Time: 0:00:01|###########################################################|\n", "100% Time: 0:00:01|###########################################################|\n", "100% Time: 0:00:01|###########################################################|\n", "100% Time: 0:00:01|###########################################################|\n", "100% Time: 0:00:01|###########################################################|\n" ] } ], "source": [ "# IMPORTANT NOTE: Due to the mechanics of the Quantopian Platform, you will not be able to run this box.\n", "# The reason is that it's referring to my private backtest IDs. Only I have access to these, and there's\n", "# no way for me to make them public. However, though you can't run this cell, you can still see the results.\n", "# Moreover, if you wish to repeat this experiment yourself, you can copy-paste in your own backtest IDs.\n", "# It should be no problem for you to adapt this code.\n", "\n", "res2002v1 = get_backtest('559ec570b56ce11240e70ad5')\n", "res2002v2 = get_backtest('559ec956799f4c1244fc9518')\n", "\n", "res2003v1 = get_backtest('559ec9d3871df51250296fd4')\n", "res2003v2 = get_backtest('559eca0de48248124a9db7fe')\n", "\n", "res2004v1 = get_backtest('559eca3c14c54b124cc46e35')\n", "res2004v2 = get_backtest('559eca6f78389f1239b0f6ec')\n", "\n", "res2005v1 = get_backtest('559ecaae78389f1239b0f6f7')\n", "res2005v2 = get_backtest('559ecb0314c54b124cc46e5c')\n", "\n", "res2006v1 = get_backtest('559ecb5214c54b124cc46e6e')\n", "res2006v2 = get_backtest('559ecb97871df51250296fe9')\n", "\n", "res2007v1 = get_backtest('559ecbdd14c54b124cc46e8f')\n", "res2007v2 = get_backtest('559ecc114c08da125abd5d39')\n", "\n", "res2008v1 = get_backtest('559ecc5514c54b124cc46eaf')\n", "res2008v2 = get_backtest('559eccd9871df51250296ff8')\n", "\n", "res2009v1 = get_backtest('559ecd3bb56ce11240e70b28')\n", "res2009v2 = get_backtest('559ecd91799f4c1244fc954b')\n", "\n", "res2010v1 = get_backtest('559ecdf048d3461247e5fb49')\n", "res2010v2 = get_backtest('559ece12e48248124a9db827')\n", "\n", "res2011v1 = get_backtest('559ece5678389f1239b0f73b')\n", "res2011v2 = get_backtest('559ece7678389f1239b0f740')\n", "\n", "res2012v1 = get_backtest('559eceb248d3461247e5fb6e')\n", "res2012v2 = get_backtest(\"559ecee2b56ce11240e70b4c\")\n", "\n", "res2013v1 = get_backtest('559ecf14871df51250297022')\n", "res2013v2 = get_backtest('559ecf4848d3461247e5fb7d')\n", "\n", "res2014v1 = get_backtest('559ecf7a871df51250297043')\n", "res2014v2 = get_backtest(\"559ecf98871df5125029704a\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is tempting to make timeseries visualizations of the backtests themselves, but that's unlikely to be helpful. The following summary data says enough on its own." ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# organizing the results\n", "results = [(res2002v1, \"2002v1\"), (res2002v2, \"2002v2\"), (res2003v1, \"2003v1\"), (res2003v2, \"2003v2\"),\n", " (res2004v1, \"2004v1\"), (res2004v2, \"2004v2\"), (res2005v1, \"2005v1\"), (res2005v2, \"2005v2\"),\n", " (res2006v1, \"2006v1\"), (res2006v2, \"2006v2\"), (res2007v1, \"2007v1\"), (res2007v2, \"2007v2\"), \n", " (res2008v1, \"2008v1\"), (res2008v2, \"2008v2\"), (res2009v1, \"2009v1\"), (res2009v2, \"2009v2\"),\n", " (res2010v1, \"2010v1\"), (res2010v2, \"2010v2\"), (res2011v1, \"2011v1\"), (res2011v2, \"2011v2\"), \n", " (res2012v1, \"2012v1\"), (res2012v2, \"2012v2\"), (res2013v1, \"2013v1\"), (res2013v2, \"2013v2\"),\n", " (res2014v1, \"2014v1\"), (res2014v2, \"2014v2\")]\n", "\n", "v1res = [(a,b) for (a,b) in results if \"v1\" in b]\n", "v2res = [(a,b) for (a,b) in results if \"v2\" in b]" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# making specific lists of result types\n", "v1returns = []\n", "v1alpha = []\n", "v1beta = []\n", "v1sharpes = []\n", "\n", "v2returns = []\n", "v2alpha = []\n", "v2beta = []\n", "v2sharpes = []\n", "\n", "def sformat(returns,alpha,beta,sharpe):\n", " # to format result-strings for readability\n", " a = '{0: >6}'.format(\"%0.3f\" % returns)\n", " b = '{0: >6}'.format(\"%0.3f\" % alpha)\n", " c = '{0: >6}'.format(\"%0.3f\" % beta)\n", " d = '{0: >6}'.format(\"%0.3f\" % sharpe)\n", " return a,b,c,d\n", "\n", "def getstats(res):\n", " # to get relevant statistics about the backtest\n", " returns = res.cumulative_performance.returns[-1]\n", " alpha = res.risk.alpha[-1]\n", " beta = res.risk.beta[-1]\n", " sharpe = res.risk.sharpe[-1]\n", " return returns,alpha,beta,sharpe" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2002v1 returns: -0.446 alpha: -0.130 beta: 1.413 sharpe: -1.050\n", "2003v1 returns: 0.383 alpha: 0.078 beta: 1.373 sharpe: 1.116\n", "2004v1 returns: -0.120 alpha: -0.222 beta: 1.679 sharpe: -0.620\n", "2005v1 returns: 0.217 alpha: 0.113 beta: 1.166 sharpe: 0.932\n", "2006v1 returns: -0.053 alpha: -0.201 beta: 1.505 sharpe: -0.512\n", "2007v1 returns: -0.016 alpha: -0.007 beta: 1.176 sharpe: -0.241\n", "2008v1 returns: -0.438 alpha: -0.067 beta: 1.061 sharpe: -0.987\n", "2009v1 returns: 0.640 alpha: 0.370 beta: 0.964 sharpe: 2.048\n", "2010v1 returns: 0.245 alpha: 0.115 beta: 1.070 sharpe: 0.960\n", "2011v1 returns: -0.032 alpha: -0.063 beta: 1.121 sharpe: -0.179\n", "2012v1 returns: 0.210 alpha: 0.022 beta: 1.269 sharpe: 0.984\n", "2013v1 returns: 0.460 alpha: 0.164 beta: 1.114 sharpe: 2.606\n", "2014v1 returns: 0.159 alpha: 0.024 beta: 1.309 sharpe: 0.756\n", "\n", "v1: Mean Return: 0.093 Mean Alpha: 0.015 Mean Beta: 1.248 Mean Sharpe: 0.447\n", " \n", "2002v2 returns: -0.442 alpha: -0.107 beta: 1.483 sharpe: -1.001\n", "2003v2 returns: 0.279 alpha: -0.011 beta: 1.293 sharpe: 0.814\n", "2004v2 returns: -0.176 alpha: -0.278 beta: 1.699 sharpe: -0.806\n", "2005v2 returns: 0.237 alpha: 0.131 beta: 1.200 sharpe: 1.018\n", "2006v2 returns: 0.053 alpha: -0.106 beta: 1.683 sharpe: 0.032\n", "2007v2 returns: 0.002 alpha: 0.010 beta: 1.171 sharpe: -0.163\n", "2008v2 returns: -0.441 alpha: -0.073 beta: 1.052 sharpe: -1.000\n", "2009v2 returns: 0.663 alpha: 0.390 beta: 0.977 sharpe: 2.079\n", "2010v2 returns: 0.200 alpha: 0.071 beta: 1.064 sharpe: 0.773\n", "2011v2 returns: -0.067 alpha: -0.098 beta: 1.140 sharpe: -0.290\n", "2012v2 returns: 0.080 alpha: -0.097 beta: 1.184 sharpe: 0.339\n", "2013v2 returns: 0.559 alpha: 0.259 beta: 1.128 sharpe: 3.151\n", "2014v2 returns: 0.119 alpha: -0.017 beta: 1.331 sharpe: 0.515\n", "\n", "v2: Mean Return: 0.082 Mean Alpha: 0.006 Mean Beta: 1.262 Mean Sharpe: 0.420\n" ] } ], "source": [ "# I planned to include drawdown in the summary stats, but couldn't find a convenient method for doing it,\n", "# so I'll just go without it for now.\n", "\n", "# This code will print a summary table of results.\n", "\n", "for (res,title) in v1res:\n", " returns,alpha,beta,sharpe = getstats(res)\n", " v1returns.append(returns)\n", " v1alpha.append(alpha)\n", " v1beta.append(beta)\n", " v1sharpes.append(sharpe)\n", " streturn, stralpha, strbeta, strarpe = sformat(returns,alpha,beta,sharpe)\n", " print title, \" returns:\", streturn, \" alpha:\", '%5s' % stralpha, \" beta:\", '%5s' % strbeta, \" sharpe:\", '%5s' % strarpe \n", "print \"\\nv1: Mean Return:\", \"%0.3f\" % np.mean(v1returns), \" Mean Alpha:\", \"%0.3f\" % np.mean(v1alpha), \" Mean Beta:\", \"%0.3f\" % np.mean(v1beta), \" Mean Sharpe:\", \"%0.3f\" % np.mean(v1sharpes)\n", "print \" \"\n", "\n", "for (res,title) in v2res:\n", " returns,alpha,beta,sharpe = getstats(res)\n", " v2returns.append(returns)\n", " v2alpha.append(alpha)\n", " v2beta.append(beta)\n", " v2sharpes.append(sharpe)\n", " streturn, stralpha, strbeta, strarpe = sformat(returns,alpha,beta,sharpe)\n", " print title, \" returns:\", streturn, \" alpha:\", '%5s' % stralpha, \" beta:\", '%5s' % strbeta, \" sharpe:\", '%5s' % strarpe \n", "print \"\\nv2: Mean Return:\", \"%0.3f\" % np.mean(v2returns), \" Mean Alpha:\", \"%0.3f\" % np.mean(v2alpha), \" Mean Beta:\", \"%0.3f\" % np.mean(v2beta), \" Mean Sharpe:\", \"%0.3f\" % np.mean(v2sharpes)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Backtest Evaluation\n", "\n", "It is apparent from the numerical results in the table that both strategies generally result in low returns and low alpha, which are undesirable. Further, both strategies are high-beta, i.e. quite strongly market-tracking, which is also undesirable. To boot, the sharpe is generally weak as well. These results give further evidence to our earlier conclusion that **neither $V_1$ nor $V_2$ is, in this current state, viable as a buy signal**. \n", "\n", "Finally, we will test the correlations between these results for $V_1$ and $V_2$:" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "V1 and V2 Returns Correlation: (0.97788289176719456, 8.0295636343967768e-09)\n", "V1 and V2 Alpha Correlation: (0.93165879821940312, 3.6353020018937067e-06)\n", "V1 and V2 Beta Correlation: (0.96338219824961524, 1.2498739678459528e-07)\n", "V1 and V2 Sharpe Correlation: (0.96357674601833554, 1.2142412583005337e-07)\n" ] } ], "source": [ "# recall that correlations are expressed in the form of (correlation coefficient, p-value)\n", "\n", "print \"V1 and V2 Returns Correlation:\", pearsonr(v1returns,v2returns)\n", "print \"V1 and V2 Alpha Correlation:\", pearsonr(v1alpha,v2alpha)\n", "print \"V1 and V2 Beta Correlation:\", pearsonr(v1beta,v2beta)\n", "print \"V1 and V2 Sharpe Correlation:\", pearsonr(v1sharpes, v2sharpes)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Conclusion\n", "\n", "The correlations between $V_1$ and $V_2$ in these four key measurements are extremely strong. These numerical results are also commensurate with the visual similarity between the scatter plots for each year earlier in the project. We can effectively conclude that $V_1$ and $V_2$ are the same strategy. This is not particularly surprising, since `ebitda` and `net_income` are fundamentally similar.\n", "\n", "**We have to conclude that neither $V_1$ nor $V_2$ is a viable trading signal *at all***. This is a somewhat surprising result, but it has an interesting corollary: it suggests that the much-despised administrative and managerial bloat that drives up employee numbers may not be so damaging (at least in terms of stock price) after all. But that suggestion has to be investigated further before we can jump to any conclusions." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, it is possible that a viable buy-signal could be constructed using the ideas discussed in this investigation, but it would have to compose the metric $V$ differently. It is also possible that more favorable correlations or interesting results could be found on a multi-year timescale rather than on one-year intervals, but this is an investigation for another time." ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.6" } }, "nbformat": 4, "nbformat_minor": 0 }