{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Futures Trading Considerations\n", "by Maxwell Margenot and Delaney Mackenzie\n", "\n", "Part of the Quantopian Lecture Series:\n", "\n", "* [www.quantopian.com/lectures](https://www.quantopian.com/lectures)\n", "* [github.com/quantopian/research_public](https://github.com/quantopian/research_public)\n", "\n", "\n", "\n", "In this lecture we will consider some practical implications for trading futures contracts. We will discuss the futures calendar and how it impacts trading as well as how to maintain futures positions across expiries." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "from quantopian.research.experimental import continuous_future, history" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Futures Calendar\n", "An important feature of futures markets is the calendar used to trade them. Futures markets are open long after the equity markets close, though the effective periods within which you can trade with large amounts of liquidity tend to overlap. The specific high points in volume for futures contracts vary greatly from underlying to underlying. Despite this, the majority of the volume for many contracts typically falls within normal EST market hours.\n", "\n", "Let's have a look at a day in the life of the S&P 500 Index E-Mini futures contract that was deliverable in March 2017." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "contract = symbols('ESH17')\n", "one_day_volume = get_pricing(contract, start_date='2017-02-01', end_date='2017-02-01', frequency='minute', fields='volume')" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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EQBEdngcAAADA2jxr55GZAiI0AQAAADGseclxMlNghCYAAAAA7XqsT6wgNAEA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ICAgABqh8uIzWZDVlYWIiIikJ2djebmZsycORPBwcHYu3cvevXqhZSUFNhsNgQEBFA7XCZYOyQk\nJODYsWOIi4vD3XffDQDYtGkTtFotIiIi6O/SZYS1QWRkJPbt2weFQoEZM2ZAoVBg9+7duPHGGxES\nEgIAfmEDGjRdZVRUVOCVV16BSqWCVqvF3LlzMWfOHEyYMAErVqyAXC5Hnz59YLfbIZVKIZFIEB8f\nj0GDBkGn08FiseCFF16AVqtt71Pp0JSWluLll18GAAQEBGDhwoUoKyvDrbfeCrVajbi4OJw5cwbZ\n2dkYMWIEAFA7XGJYGzAMA41GgxUrVuDFF19EY2MjXn/9dTQ0NCAnJwelpaXckDtqg0sP+V1QKBR4\n9913IZfLERoaio8//hhZWVk4evQoLly4gGuuuQYAtcPlgPw+qNVqLF68GGVlZcjIyEBMTAyys7Nx\n4cIF6HQ6ZGRkAKB2uFzMmzcP69atQ0pKCtLS0tC/f38EBQVBpVLhjz/+QP/+/ZGQkACJREL/Rl9G\n5s2bhzVr1qBbt24YPXo0Nm3ahGPHjuHbb79FYWEhDh06hIKCAgwePBgA/T5cDubNm4e1a9eiV69e\n6NmzJ5YtW4a8vDx89NFHkEqlyM3NRV1dHXr37g2g/W1Ag6arjJKSEmzZsgWLFy/GgAEDsHv3bigU\nCvTp0wfx8fH48MMPcdttt0GlUkEikeDChQvYuHEj0tPTkZaWhsGDB0OtVrf3aXR4KisrsXPnTixa\ntAgDBgxAdXU1tm3bBoPBgNGjR4NhGGi1Wuzduxfp6enQ6/XUDpcY1gaLFy9G//79kZWVBZ1Oh/79\n+2PSpEnc06xff/0V/fv3h8Viwfr166kNLjHkdyE9PR3FxcVYs2YNCgsL8eCDD2L27NkICQnB77//\njn79+lE7XCbI78OAAQNQVVWFvLw8WK1WfP7557DZbBg3bhwKCgqQnp6OqqoqbN68GWlpadQOl5Dm\n5masXLkSAwYMgE6nQ7du3RATEwMAqKurw7p163DnnXdCo9FAIpGgtLQUGzZsoN+HSwxrh7S0NFRX\nV+Paa6+FRCLB4cOHMWvWLDz00EOIjY3Ff//7X6SlpcFms9HfpUsMaYOKigoMHz4cd955J44ePYrb\nbrsNzz33HMxmM7Zs2YK+ffvCaDS2+3eBSo5fZWi1WjzyyCOcTGP//v3Ro0cPAMCoUaPQq1cvLF++\nHBaLBdu2bUNkZCTi4uLa85CvStRqNZKSknDq1CkAwAMPPID09HSsXLkS586dg0wmQ1BQEAICAhAZ\nGQm1Ws31m1EuDUIbPPvss9i5cyeKi4u5J1NpaWlITEyERqOBSqWiNrgMCO3w0EMPYcCAAThx4gSn\ncJSeno6uXbtCrVZTO1wmhHa47777kJCQgKlTp2Lu3LmYP38+kpKSUF1djZCQEAQFBXHOPOXSodFo\n8Pzzz2PKlCmoqalBZmYm915mZiYSEhKg1WpRUVGBv/76C1qtlv6NvgyQdqiursbOnTsxefJkzJ49\nG9deey0AcNkPtoSe/i5dWkgb1NbWYvv27ZBKpThw4AD+v717CYlqgeM4/nXyQenEII5CD5VIMwup\nJCEmCF0kWk216CKmEUTkJtAIUkssCGoTFRm1MVpYSKWphEFFoqMIviC1CHRCG3U0sjZaagPelcPN\nvMPlpo2Ov8/Ow+HwP/w4Z/h5XmFhYQDEx8e7z0eL4bdBV5p8THBwMJGRkfj5+eFyuSgtLSU5ORmT\nyYTBYCAhIYGcnBxqa2uJjo4mMTGRqKgob4/tc1auXElDQwNGo5F169ZhMpmYnJykrq6OyclJAgMD\naW9vx263k5yczOrVq5XDPJudQVhYGB8/fqSsrIyvX7+yfv16qquraW1tZd++fe6H32V+zXUsTExM\n0NTUxNq1axkbG6OxsZHW1lb279+vHBbI7BxCQ0Ox2+20tLSQmJjI4OAgjY2NTExMsHv3boKDg5XD\nAgkLCyM8PJy+vj4cDgcmkwmz2Ux/fz+fPn3C6XRy69YtIiIi2L59u3JYIDM59Pf309fXR2hoKJs2\nbeL169cYjUYqKytpb2/XeWkB/fNY6OvrIz4+Hn9/f0pKSkhPT+fZs2d0d3eTmprqfmmWN6k0+bD3\n799js9k4efIkBoOB5uZmbt++TWxsLNeuXcNisXh7RJ9lMBgIDg6msbGRiIgIzGYzMTExNDc3Y7FY\n6O7uZmRkhPz8fEwmk7fH9UlzZZCQkEBNTQ3j4+O0tbUxOjpKcXExZrPZ2+P6rH87FpqamkhLS6O3\nt5fh4WEKCwuVwwKaK4dt27Zx7949/P39aWpqYmhoiHPnzmE0Gr09rk+b+fSH0Wikq6uLgIAAYmNj\nqaio4NWrV4SEhFBQUMCuXbu8PapPm52Dv78/sbGx3L9/n7q6OkZHR7l48aL7qofMv9kZTE1Ncfjw\nYXp7e2lubmZoaIiioqJF8+yY37Q+Veyz6urqcDqd7N27l8uXLxMUFMTx48fZvHmzt0dbFqanpykp\nKWFqaoq//vrLff9ucXExLpfL/WVrWTizMxgfH6eiooLz588zOTlJUFCQt0dcFmbn8P37dx48eMCl\nS5fcP5qy8OY6Jz169IiioiIdD15is9morKxkcHCQVatWkZub634hivw5NpuNiooKPnz4wM6dO8nL\ny3N/3Fb+jJkM7HY7FouFM2fOuF/9vlioNPmwp0+fUlRURFJSEocOHcJqtXp7pGVnbGyMqqoq6uvr\nGRsbIyMjg4MHD3p7rGVFGSwO/5aDStOfpeNhccnLy6Ozs5OcnByOHDni7XGWrby8PLq6ujh16pRy\n8JKlkIFKkw9raWnh3bt3ZGZmLrq2vtzY7XYiIyMJCAjw9ijLljJYHJTD4qAcvM/pdPLixQsyMjJ0\nlc+LlIP3LZUMVJp8mP6DKyIiIiLy+/TKcR+mwiQiIiIi8vtUmkRERERERDxQaRIREREREfFApUlE\nRERERMQDlSYREREREREPVJpEREREREQ8UGkSEZElaXBwkLi4OB4/fvzT8o6ODuLi4qitrSU3N/d/\nb7+mpuZ3RxQRER+h0iQiIktWVFQU1dXVPy2rqalhw4YNmM1mbty48b+2OzIyQnl5+XyMKCIiPkCl\nSURElqzw8HBcLhcDAwMAuFwu2traSEhIYGBggD179gBQUFDA9evXycnJIS0tjdLSUgBKSkq4efOm\ne3spKSk4HA7Onj1LT08P+fn5AJSVlZGVlUVGRgaFhYVMTU394T0VERFvUmkSEZElzWq1UlVVBUB9\nfT0Wi8X9ce9/fuR7YGCAu3fvUlpayp07d+bc1sz6p0+fJjY2lqtXr9LZ2cnLly8pKyujvLwco9H4\nyy2BIiLi21SaRERkyfLz8yM9PZ3nz58DUF1djdVqnXPdpKQkANasWcP4+DjT09O/rDPXspaWFhwO\nB8eOHSM7O5uOjg6cTuc87oWIiCx2/t4eQERE5HeYTCaio6Ox2Ww4HA62bNky53orVqz46e+5CtKP\nHz9+WRYYGEhKSgoXLlyYn4FFRGTJ0ZUmERFZ8qxWK1euXCE1NfU/rT9TmEJCQhgeHgagp6eHL1++\nAGAwGNwFaseOHTQ0NPDt2zcAHj58yJs3b+Z7F0REZBFTaRIRkSUvOTmZ0dFRDhw48J/Wn3l2KS0t\njbdv35KVlcWTJ0+IiYkBYOPGjXz+/JkTJ06wdetWMjMzyc7O5ujRo7S2thIXF7dg+yIiIouP3/Rc\n9yeIiIiIiIgIoCtNIiIiIiIiHqk0iYiIiIiIeKDSJCIiIiIi4oFKk4iIiIiIiAcqTSIiIiIiIh6o\nNImIiIiIiHig0iQiIiIiIuLB31v80zMlrLJxAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "one_day_volume.tz_convert('EST').plot()\n", "plt.title('Trading Volume for 3/01/2017 by Minute')\n", "plt.xlabel('Minute')\n", "plt.ylabel('Volume');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is one of the most liquid futures contracts and we see this significant increase in volume traded during normal equity trading hours. These hours can be even more tight for less liquid commodities. For example, let's look at how Feeder Cattle trades during the same time period on the same day." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "contract = 'FCH17'\n", "one_day_volume = get_pricing(contract, start_date='2017-02-01', end_date='2017-02-01', frequency='minute', fields='volume')" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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IQ5QIQgAAAABshyAEAACAjsMT8kcgCEEIAAAAgO0QhAAAANBhGKtA9EqAGYIQ\nAAAAANshCAEAAKBD8lASggmCEAAAADoMwg+iRRACAAAAYDsEIQAAAAC2QxACAAAAYDsEIQAAAHQY\nxi1CbBeCGYIQAAAAANshCAEAAKDD8BhuqeoRJSGERxACAAAAYDsEIQAAAHQcFIEQJYIQAAAAOiZC\nEUxEDEIbN27UFVdcodzcXEnSP/7xD61fvz7uAwMAAACAeIkYhO69917df//96tGjhyRp+PDheuCB\nB+I+MAAAACBWnjA/A4EiBqGEhARlZGT4fv/Zz36mhISEuA4KAAAAAOIpqiC0fft2ORwOSdLKlSvl\n4e5UAAAAsCDjdSrXrDATsbRz66236oYbbtDmzZuVnZ2tk046STNmzGiLsQEAAABAXEQMQmeeeaYW\nL16sffv2KSkpSampqW0xLgAAACBmFIEQrYhBaNOmTXr11Vd1+PBhv/IiDRMAAAAA/FhFDEI333yz\nRo4cqdNOO60txgMAAAAAcRcxCJ100kn605/+1BZjAQAAAFoNy+RgJmIQGj16tGbNmqV+/fr5tc0+\n//zz4zowAAAAIFZ0ikO0IgahxYsXa/Pmzfrwww99jzkcDr3wwgtxHRgAAADQEmQimIkYhPbt26d3\n3333qF9g5syZKi4uVkNDg37/+9/r3HPP1ZQpU+TxeNSjRw/NnDlTiYmJWrRokebOnSuXy6Urr7xS\n+fn5R/2aAAAAsCeyD6IVMQidf/752rZtm3r37h3zyT/99FN9++23mj9/vg4cOKAxY8aof//+uu66\n6zRs2DA98sgjWrhwoS677DLNmjVLCxcuVEJCgvLz85WTk6OuXbse1ZsCAAAAADMRg9BHH32kefPm\n6fjjj1dCQoI8Ho8cDofef//9iCc///zzlZmZKUnq2rWrjhw5orVr1+ree++VJA0ePFhz5szRySef\nrMzMTKWkpEiSsrKyVFxcrEGDBh39OwMAAICteagPwUTEIPTUU08d9cmdTqc6d+4sSXrllVc0aNAg\nffjhh0pMTJQkdevWTXv27FF5ebnS0tJ8z0tLS1NZWdlRvy4AAABsiuyDKEUMQh9//HHIx2PZw7N8\n+XItXLhQs2fPVk5Oju/xcF09ou32UVRUFPUYEB/MgTUwD9bAPLQ/5sAamAdrsOs8lB6o8/38xRdf\n6LiUiJe7cWXXefgxiPjNME5ebW2tNmzYoKysrKiD0KpVq/T0009r9uzZSk1NVUpKimpra5WUlKTS\n0lKlp6eiUMkFAAAgAElEQVSrZ8+efhWg0tJS9evXL+K5s7OzoxoD4qOoqIg5sADmwRqYh/bHHFgD\n82ANdp6HLbsOSUtKJUnnnnOueqZ1abex2HkerMIsiEYMQg888IDf71VVVZo6dWpUL1xRUaEHH3xQ\nzz77rI455hhJ0oUXXqjCwkKNGjVKhYWFGjBggDIzMzV9+nRVVFTI4XBo3bp1mjZtWlSvAQAAAITC\nKjmYiblW2LlzZ23bti2qY5csWaIDBw5o0qRJviYLM2bM0LRp0/TSSy+pV69eGjNmjFwulwoKCjR+\n/Hg5nU5NnDhRqampMb8ZAAAA2Bs3VEW0IgahX/3qV3I4HL7fS0tLdeaZZ0Z18quuukpXXXVV0ONz\n5swJeiwnJ8dv/xAAAAAAxEvEIDRp0iTfzw6HQ6mpqcrIyIjroAAAAICWojoEM2GDULhucQcOHNAn\nn3yiCy+8MG6DAgAAAIB4ChuEZs2aFfZJDoeDIAQAAADLoQiEaIUNQs8//3xbjgMAAAAA2owz0gHf\nffedxo0bp6ysLGVnZ2vChAlRd40DAAAA2gvVIZiJGIT+8pe/aPz48frwww/1wQcf6JprrtFdd93V\nFmMDAAAAYkKDBEQrYhDyeDwaNGiQunTpopSUFA0dOlQNDQ1tMTYAAAAAiIuIQaiurk5ffvml7/cN\nGzYQhAAAAGBJHr+fqQ4hvLDNEkpLS5Wenq7bbrtNBQUF2rdvnySpR48emjFjRpsNEAAAAABaW9gg\nNGrUKJ133nnKz8/Xm2++qaqqKt8NVQEAAABL8oT5GQgQdmncqlWrNHr0aC1YsECDBg3SrFmzVFpa\n2pZjAwAAAIC4CFsRSk5O1siRIzVy5Ejt2bNHixcv1p///Gd16dJF+fn5ys/Pb8txAgAAABGxLwjR\nitgsQZJ69uypCRMm6JFHHtFJJ52ke++9N97jAgAAAFqESAQzYStCXgcPHtSbb76p1157TbW1tcrP\nz9f06dPbYmwAAABATLiNEKIVNgi99957eu2111RUVKShQ4fqzjvvVGZmZluODQAAADhq3FwVZsIG\noTlz5ig/P18PPvigOnXq1JZjAgAANjVv6VfqmpKk0b88tb2HAqCDCxuE5s2b15bjAAAA0EvLv5Yk\nghBaBQUhmImqWQIAAAAAdCQEIQAAAHQY7AtCtAhCAAAAAGyHIAQAAIAOg3oQokUQAgAAQIfEMjmY\nIQgBAACg4yD7IEoEIQAAAHRIZCKYIQgBAACgw2A1HKJFEAIAAABgOwQhAAAAdExUh2CCIAQAAIAO\nw0P6QZQIQgAAAOiQiEQwQxACAABAh0GzBESLIAQAAIAOiRuqwgxBCAAAAIDtEIQAAAAA2A5BCAAA\nAB0Gy+EQLYIQAAAAANshCAEAAKDDMNaDKA7BDEEIAAAAgO0QhAAAANBxGKpA7BeCGYIQAAAAANsh\nCAEAAACwHYIQAACwBJYxoTV4DGvj+EbBTNyD0MaNGzV06FC98MILkqSpU6dq1KhRGjdunMaNG6eV\nK1dKkhYtWqT8/HxdffXVeuWVV+I9LAAAAAA2lhDPk1dVVWnGjBm6+OKL/R6fPHmyBg4c6HfcrFmz\ntHDhQiUkJCg/P185OTnq2rVrPIcHAAAshIIQWoPf94jvFEzEtSKUnJysp556St27dzc9bv369crM\nzFRKSoqSk5OVlZWl4uLieA4NAABYDNesANpSXIOQ0+lUUlJS0OPz5s3Tb37zGxUUFGj//v3au3ev\n0tLSfH9PS0tTWVlZPIcGAACshpIQWoOxfTbxGibiujQulMsuu0zHHXecMjIy9PTTT+uJJ55Qv379\n/I6JdrNkUVFRPIaIGDAH1sA8WAPz0P6YA2s42nlocDf//3/msuXs+hl+v7va9/NXX23UoT3B/yjf\nluw6Dz8GbR6E+vfv7/v5kksu0d13363c3FytWLHC93hpaWlQOAolOzs7LmNEdIqKipgDC2AerIF5\naH/MgTW0ZB7qG9zS/B8k8f/jW8rO//fg+nqP9N5eSdLPf56h0396fLuNxc7zYBVmQbTN22ffdNNN\n2rRpkyRpzZo1OuOMM5SZmamSkhJVVFSosrJS69at40sDAIDNsDIOrY3vFMzEtSK0fv16TZ8+Xfv2\n7ZPL5dL8+fN10003aerUqUpJSVFKSoruv/9+JScnq6CgQOPHj5fT6dTEiROVmpoaz6EBAADL4aoV\nLUf4QbTiGoT69u2rxYsXBz0+dOjQoMdycnKUk5MTz+EAAAAL4wIWQFtq86VxAAAAANDeCEIAAMAS\nKAihNfjdT5UyI0wQhAAAgCVw0QqgLRGEAACANZCD0Br4HiFKBCEAAAB0SGQimCEIAQAAS+CiFa3B\nwzcJUSIIAQAAS2CPEFodXymYIAgBAACgwyBPI1oEIQAAAHRIhCKYIQgBAABL4KIVQFsiCAEAAEsg\nBwFoSwQhAABgDZSE0MroIAczBCEAAGAJxktWOsjhaPHdQbQIQgAAwHK4lkVr4HsEMwQhAABgCcaL\nVq5fcbT47iBaBCEAAGAJfkua+Kd8AHFGEAIAAJZDDMJR48uDKBGEAACA5VAQAhBvBCEAAGAJ/uGH\nJISjY1xiSQc5mCEIAQAASzDe84XrVwDxRhACAADWQNc4tAJPmJ+BQAQhAABgOSxpAhBvBCEAAGAJ\nbBFCq+N7BBMEIQAAYAl+m9zbcRz4caOYiGgRhAAAgOWwNA5AvBGEAACAJZB90DqMlUW+VAiPIAQA\nACyHUAQg3ghCAADAEjy0z25VbrdH3+44oIYGd3sPpU35fY/4IsEEQQgAAFiC3zImrmBbbPnabfrz\nIys1d8lX7T0UwJIIQgAAwBqoCLWq9d+USZI+LtnVziNpW7RhR7QIQgAAwHIoCLWCps/Q0b6jACyL\nIAQAACzBmH1on91y3k/QYbckxFcHUSIIAQAASyD8oLXRPhtmCEIAAMByyEQt1xws7VUSIvwgWgQh\nAABgOVzMtpxtl8YZEKhhhiAEAAAswe+ilQvYNuV2e7S7vLK9hwG0KYIQAACwBGMViBzUCrxd46Ko\nCD371r/1u/uXa82Xu+M7pjbAjXkRLYIQAACwBr/7qXIJ21LNwTJyEnr7062SpM+b7j0E2AFBCAAA\nWALRJz6i2iPUkYJnB3oriC+CEAAAsJyOdF3eXmL5DDtsfzm+RzBBEAIAAJZgXA5HEGo9MRWEOkAS\nouMgokUQAgAAluC/yd36F7MVR2pV3+Bu72GEVF3nVm1dgyTJEUP/bEdHSEIGP4bvEdpP3IPQxo0b\nNXToUL3wwguSpN27d2vs2LG67rrr9Oc//1l1dXWSpEWLFik/P19XX321XnnllXgPCwAAWJnFr1/r\n6ht07R1LNenh99t7KCH97eWdKtq4J4ZnWPwDjwHVREQrrkGoqqpKM2bM0MUXX+x77NFHH9XYsWM1\nb9489e7dWwsXLlRVVZVmzZql5557TnPnztVzzz2nQ4cOxXNoAADAwqx+LVtV01ht2br7cDuPpHV1\ntJuvEopgJq5BKDk5WU899ZS6d+/ue2zNmjUaPHiwJGnw4MFavXq11q9fr8zMTKWkpCg5OVlZWVkq\nLi6O59AAAIDF+O8RsvYVrNXHZ9TRwk0kP56ZQXuLaxByOp1KSkrye6yqqkqJiYmSpG7dumnPnj0q\nLy9XWlqa75i0tDSVldHHHgAAO+ECNj6i2ffzI8p1QKtJaM8XD/evKdH+K0tRUVFrDgdHgTmwBubB\nGpiH9sccWMPRzkPpgTrfz198UaIfjmnXyxRTldUNvp+t/r07UnUk4hgb3I1NH0pLS1VUVNMWw4qb\nzVuO+H7+5ptv5Diyox1HY/3vh521+X9hUlJSVFtbq6SkJJWWlio9PV09e/b0qwCVlpaqX79+Ec+V\nnZ0dz6EigqKiIubAApgHa2Ae2h9zYA0tmYetuw5JS0olSWefc7Z6dU9tzaG1qoMVNdKruyRZ9Hrk\nX80X/126dIk4RucruyQ1KD09XdnZ58R5cPF1WNul1fskSaeffrqyf57ebmPhv0vtzyyItnn77Asv\nvFCFhYWSpMLCQg0YMECZmZkqKSlRRUWFKisrtW7dOr40AADYjCfsL2iJWPYIxdJq+8fgx7SXC20v\nrhWh9evXa/r06dq3b59cLpfmz5+v2bNn67bbbtNLL72kXr16acyYMXK5XCooKND48ePldDo1ceJE\npaZa91+BAABA6/NrltCO44iGla+vY7n493g8qqlrsPT7iVUHeiuIs7gGob59+2rx4sVBj8+ZMyfo\nsZycHOXk5MRzOAAA4EfC6v+Sb+UbdboDhmZW43lwXpFWff5DVMcCHU2bL40DAAAIxZh9LJ6DLD2+\noBBpstzNGII6Cr/vUfsNAz8CBCEAAIAYWbli1ZKxdbAtQoApghAAALCEwBuq1tW723E05tzWHVpM\nS+M6JkpCiA5BCAAAWILxmvWHskpdcetivfTOpnYbjxkr7xEKrAhR5QFCIwgBAABrMFy/r/lytyRp\n3rKN7TQYcxZeGdeisXWE9tn+e80sPFFodwQhAABgObX1De09BFNWvsAOqghZeHFcQ+A6PqANEYQA\nAIAlGJebWXl/kGTtilBQtojphqpN52iDgHLgcI0un7JIcxZ/GffXAkIhCAEAAEswhgtvEHI5rVnN\n+HFVhGKzu7xSl01ZpJff/br1BhXCpq37JEmvvf9tq56X9tmIFkEIAABYTm1d49K4xARrXqq4LRyE\nAqs5se77KfqqVJI0d8lXrTamUFgVh/Zmzf+6AAAAW/NWhKwahCycg1o8trZ6a/GrqhnbsMfpJdAh\nWPO/LgAAwHaMF8beZgnWDULWvcK28tiMfhyjREdmzf+6AAAA2zFeGHsrQgkJrvYZTARWzhqBy/Zi\nWRnXlu2z4xXY/E9r4YlCuyMIAQAAazA2S6hrWhrnsmazBCvvEWrRfYRa+PxYeKzdGBA2QBACAACW\nYLwAb14aR0UoVsEVoVhKQq08GBOeOFVrLDw1sBiCEAAAsJzyg9WSpASLVoSsvA/HwkPz0xbj/LF8\nFmgfBCEAAGAJoSoEVIRi19KQFq9KTdDrtMkeISA8ghAAALCEUBewVu0aZ+U9Qi1qliBHq6wtu+Xx\nVXrguTWmx7TFfYSsO0uwgoT2HgAAAMCPzY9paZyjLTf+NPlqy74ojor/fYQAM9b8ZxYAAABJDW1R\nNjgK1hxVI3cLPrM27J4td1t0jbPyRKHdEYQAAIAlhKqyNDRYs8eylVs/B36OsYabtsoOVq6qwR4I\nQgAAwBJCXRZbtSJk5T1CbTW0yY99oKde23DUz4/bwjjrTg0shiAEAACsIcQFrFWDkJWrGS0ZWSxv\na9PW/Xrzw80hzhHdSdriM2yrDnj4cSIIAQAAy2rJfpd4suaoGkW7NC5UEGmNcGKcM7P5i1cOsvLc\nwFoIQgAAwBJC/es9FaHYBYaPcF3jQoUUj1oeUIxzVmeyx6tNKkLWnSZYAEEIAABYQqiLVnebtBaL\nnbWbJUR3XKiQ2RrL2vyCUF1D2OPilnFJP4gSQQgAAFjDj2iPkJWbJQSOLdw+mdBBKNrXCP83Y6e/\nGpMg1CaBxbrTBAsgCAEAAEv4US2Na+8BmAis1oTLG21SEaoPXzqL19RaeW5gLQQhAABgWQ0N1rys\njRQYNm3dp5sffl+7yyvbaETNAocWrnoV6h5NjYdG/syjDUK1JhUhK++zgj0QhAAAgCWE3CNk0Yvl\nSMOa8fxn+v6Hg5r/zqa2GZBB0NK4MGMN1SzB7fGEPf5QZa0mP/aBPv96T4SlcYYgZFIRaostQrTP\nhhmCEAAAsISQN1S1aEUoUkBrz/wW+NrhKi+xLjss/GSLNm3drzue+lgek+c2GBpc1NW1b9c4wAxB\nCAAAWEPAdXFSgjMuXeM27zyoKY99oF17W7BszcLX8NFWhEIFIbOKkMNwQyKzIGisNNXWm3SNa4P9\nX2QtmCEIAQAAS0pKdMWlWcLD/yrWxq379cybXx71Oay6ZE8K1SwhXEUo3B6h0JyO6I6LtllC3Bph\nWHhuYC0EIQAAYAmB+zniFYRaI8REXNbV9PdwNzONp8B7HIWtCIVYdmj2vowVIbPj6g1NGMyaJbRF\nmCQSwQxBCAAAWELgdXFSojOu7bMdLcgoFu3qLSk4YIQLHKGWppllE+PnZdoswW9pnEn77Djt/7Lw\n1MBiCEIAAMCSkhJdcrs9rb6pvlVOZ+Gr7aBmCWGOqw/ZPtsT9hnRVoSMAaveZI9QA0vY0M4IQgAA\nwJKSEhovU1q/+tLyZWsRu8Y1/W9Lqk5HK7hZQvRd46KtCJnuETJUeupNqj7xapbgNzbCFkwQhAAA\ngCUEXrAnJbokKS6d41rKyq2fg5slhD4u5NI4k/Mag6P5DVXdhp/bPggB0SIIAQAASwi8LPYGISve\nS8h4DR9tKPri2726d/Ynqq6tj9OovOMJ/D2WilD49+L02yNkFoSa/9YQYvmd2eu3BmPTDet9c2Al\nBCEAAGANQfcRagpCrXzB7LuGb8myNUMQCJUJQj12+/99pLX/LtUH635owQtH5g0zE0afrZTOiSb3\nEQoOKY17ssKc2G+PUPjXNwZX04qQhatqsAeCEAAAsITAaoTL1XjhHWpTf2toSQ7yqwjF+tw4Lwnz\nnt7hcMjpMKkIham0hRtd9BWh5vkym7tQn8PiVd/r2Rbc30mS3xsga8EMQQgAAFjSMV2SJEkHDte0\n6nlb4+LY41cRiu2E8b42947H4WgMQ+FyV6hqjdvjCRvUHNFWhNzRVYS8fzMGrKdf/0ILV3wb/uRA\nK0po6xdcs2aNbr75Zp1++unyeDw688wz9dvf/lZTpkyRx+NRjx49NHPmTCUmJrb10AAAQDsKvGQ+\n+cSukqTNuw6pT9PPrflKjha0dIschExeI85lCu/pnQ6HHCYVoXD3EQp3vH/XuOZjXl3xra4YfJrv\nd/89QlE0SzCZh807D+pfhRv1pyvP07GpyWGPA45Gu1SELrjgAs2dO1fPP/+8pk+frkcffVRjx47V\nvHnz1Lt3by1cuLA9hgUAANpR4PX3yb0aw8+WnQfbYTTmPC1YfhXvipDb0xzCHA5HxD1Cw/r3aR6b\nxxNVu3Lj0rhnApayuf32CEVeGucMkYO8TRbuf3aNPinZrQXvfh15UCHGRrsEmGmXIBT4Lw1r1qzR\n4MGDJUmDBw/W6tWr22NYAACgXflfH6SndZEklR+sbo/BmDKGhVg3/cd734r3OsvpaNwHFalrXGJC\n8+Wgx+R4YwXJfGmcoX22WUXIENgC1dU3nqO2rvGGrNU14W/MGsjs3kWAUZsvjZOk7777TjfccIMO\nHjyoG2+8UdXV1b6lcN26dVNZWVl7DAsAAFhIclP7bO9FcWtrWdM4824JnsirvuLG2CzBtCLUFBi8\n3fkkyeMOH+yMQcis4YMxiNSbVIS8QSzUR1TX4FYnSS6Xs+mc0X8HjC27aZYAM20ehPr06aM//elP\nysvL0/bt2zVu3DjV1zf3049lw2FRUVE8hogYMAfWwDxYA/PQ/pgDazjaefh2e5Xf71+WbJAkle3d\n16pzW1Xd2Hxh3/6jP++WrRW+n4vXrVNyov8im7q6OklSWdneoNfYtm2bijrtO6rXjcb3myt9r1Nf\nXyePuy7k+/yu6bi9e0t9j5XvK5e7tnkpovF5W7Yd9v1c8qX/cri1az+Ts2mNm/f1JWnXrlIVFdWG\nHOfeveWSGq/9AsdXVPy5junsUn1d43NDfY7hbN/RPP4tW7aoyNm+/8DOf5esq82DUHp6uvLy8iRJ\nP/3pT9W9e3eVlJSotrZWSUlJKi0tVc+ePaM6V3Z2djyHigiKioqYAwtgHqyBeWh/zIE1tGQeqhN3\nSqvKfb9fcH629PJOdUk5plXnNvnt5dLheqWlpR31eUtrNktrD0iS+vY9Tymd/Zs8JS4uk6pr1KNH\nd2Vnn9f44L92SGq8/snOPuXo30AEBz3bpI/362cn99HHX2+S0+kI+T73N2yVPt6vk3v/RB+UfCVJ\nOv74NJ3QrYv0ZWPoMT5ve8V3UlFjyDjr52dJbzUHqLPP7asunRo/gz01m6U1+yVJ3br3UHZ235Dj\nXP7lWmlrlVwuZ/PrNH1GGT8/Wyd0S1HK8ne1v6JCXY87Puq5Ktn9b0mN4+/T52RlZ/eO6nnxwH+X\n2p9ZEG3zPUKLFy/WE088IUkqLy9XeXm5rrjiCi1btkySVFhYqAEDBrT1sAAAQHsLWBTicjbeB6e2\nPvr9IbFwtGBxnMe4XybU382eG+flWt7VaBHvI+TbI9S8NM6sfbZfp7yAv1UcqdNjL63Txi37ArrG\nmTRLiGKPUIJ3aVwMyyPjdd8pdDxtXhEaMmSICgoKdO2118rj8eiee+5RRkaGbr31Vi1YsEC9evXS\nmDFj2npYAADAYhwOhxITXb4N862mFYKI3w1VLbYRxdcswdl0H6EwwcYbWJKMy/o84YOaf7ME/4NW\nrtuhd9Zs0ztrtum3l50T9BohX78hfNe4+ga3vtm+X1t2HYp4nqDzxvmGteg42jwIpaSk6Mknnwx6\nfM6cOW09FAAAYCEeQ0JJaupklpTgVG2cmiW0hP99hGJ8bpxbOvs3SzCpCPmaJTQHIbfHE75ZguHx\nwHB1+Ehd0Hkl8+qM26SjRG1dgyY/tiqq8wTyP5ZQhPDapX02AABAIOP1d3JS43KtpESX6uri1DWu\nBR3d/O5UEyo4GMKI6ZPjwGNYcuZwOFR+sFrPBtzrRwq9NK7x+aHPa9Y+u6a2ufFV1O2zTe4jFNgp\n0Ow8gWI5FvZGEAIAANbgF4QaF60kJbi0q7xST7z8uapr6sM8MdaXafmFsjH8xHwfoRa/eoTzG+4j\n5A0ZC1d8q/KD/l353E2Bxbg0zu32RHUfocD3XF3bvHxx3abmLm1mN1RtXsIWfo+Q19FWhCy2ahEW\nQxACAACW472HUGLTRXrhJ1v15kebwx5fVVOvWa+s1449h8Me4+UJf/0dNbeFV1+5/apRzW8ycO+M\n934/SYmG+wh5wt8jqMFvOWBgEGoOqV98tzfoNUKO01sRCnE1WhcQfMwCVdA4qQghSgQhAABgCcZK\nTafkpqVxhv0rFUea70ezccs+zV5U4ruYXvLRZi39eIvueOrjthlrhIqQ972EylrxrlI0L43zDxmB\nr+sNRglOp+bfN7zxGJnsETJdGhe6oYXZjVd9XeNCVYQClkPW10f/oRlv4kokgpk2b5YAAAAQit8e\nIW9FyLB/xVhdmPJ440b6C84+Qeee2t1XQdh7wH/5lxmzi/SIYzX+HPNp4t0swX+PkFddQBtyb5XF\n6XL4bobqibJrXGBYqgnT2c+0WULT+UItVQwca31MFSHrNdeANVERAgAAlmC8HP6vIadL8t+/EuoC\n11s5SE50Bf0tkhYFoZZ0jYt7Rajxf50O/4pU4L4b7/t3OR2+xhEe065xwa/hFa4iZNo+u+lvoTJO\ncLOEWPYIUQdCdAhCAADAGpqurv/4X5m64KwTJAVUhEJcVHurCd4uc1G9TNP/tuR+M26T/TKNjzX9\nEKppnMejD9btUOEnW4769c00d6UOrAiF7sSW4HL6jou2IhS4Z6cqTCMLY4DZWVahf77xha961Hy+\nEBWhgOBTF0O4oVkCosXSOAAAYCkuQz/lSBUh33EJMVSEPN5KREsqQoafY3xug9ujB+cVSZKG9T85\npueu/6ZM20sPa+R/nmIyNm/XOIdfi/CgIORrVuDwdZfzeEy6xhkeDzxXuCBkDK93PP2x9uw7ou7H\ndtaYQaf5zuc9xPi6tXVHXxGiWQKiRRACAACW0Hz5aghCfnuEwl8MJyTEvsgl1rbXRn5ByOw8If7U\nkted/uRqSVLOf/Tx6/bmP7bmZgnR7BFqDJ7NFaFomiXURxmE3IZQUrb/iCSpsqrx5qvewOIJCEQh\nx3qUFSHaJcAMS+MAAIAlhLr+TkwwVoTCL0GLpbrTGkvjor2PUKi/uY+yYmG8D5BpEwLD0jjjzUpr\nw1SEXIaKkNvjiWppXODStSPV4SpCIcZpeC0p9BwGBquY2mfHcCzsjYoQAACwiOZKhpex6mHWOcx9\nFBe/LVka545ybVyo12g4yorQtt3N90gyawhgXBonkz1CvmYJhj1CG77dq3DcJkvXwmkw2a/j6xrn\n8f9fSTpYUet/bAwfmfGzYY8QzFARAgAAlmLsL5Dgar5UMbuXzNFUd1oShIzhJ+R9hDz+/9sar2us\nAplXhAz3ETLbI9QQ3DXOjHHctWHaZRs5Hebz4j2fO0RF6MDhGr9jTZcfBqB9NqJFEAIAAJbQ3O2s\n+TG/pXEmVR/jBXeki2ZP07Gt1zUuuuN8j8UwViPjeM2CUHP7bIdcTmOQDHMfIad/d7loXr+2PnIQ\nSkp0haxceW+g2uD2T4vGz+pARbXfc2L5nGifjWixNA4AAFhCqGtdY0Uo1B4h78Wz8W+19W7T+wr5\nupUdZRDyeDxavOp7v98jvZaRMVC43R65XFGUY+T/Hs2CkPdvTpfDr+ue2R4hqTGAmvZ9iHFpXFKi\ny3TJorFr3NufblWXTs2XpYEVoVimyhiYYwlQsB+CEAAAsIjgm+8YK0Kff1Omqpp6dU5uvnzxhgNj\nuGhocEsmQaj5Rp5Hd5H85fflqjbcQDT0tXbTvpcQOcD/fjweuaLs/G28wDfrouZtNNA5KcFvj1W4\n9tneqpHD4TAPdYanR7M0LinRFfZGq43na94b9PiCz/3+FrQ0LmCulqzerJNP7KqzftYt6Lz1foGR\nIITwWBoHAAAsJdzSOEn68PMf/H73hgNj5SHwgj+QLzwZLvp3l1fqpXc2RbW/5IeyCr/fzS61izaW\n6v2i7X6PGTuuxbI8rz7KilB1TWP46Nwpwa/9ePhmCU0VoTDnq6iq00vvbFJ1bXMnt2iCUKckl+ob\nwh/XYLJEMbB6ZTyksqpO/7dwg2594sOQ5412LxVAEAIAAJYQao+QcWlc49/8L9dDVYReX/mdvv/h\nYCCxJxgAACAASURBVNjXCawILV29Wb+7f7nmLduoFQGhJZSdZZUB4w4fZiqq6vTQv4r9HjOGiFiC\nkDGkLV29RVt3HQp5nK8ilJygRMPSOLNmCZLCNkz423NrNG/ZRn365e7m9xAhbEqNQShUKPW+Tkwt\nz/2W5ZmHsAaCEKJEEAIAAJbQfKkbemmcFHxhG6qq8Mp73+jmh98P+zreC2W326ONW/dp1sINvr/t\nPVgd7mk+u/f5B6FQF/SB2Sjc/ppYOpwZ3+PSj7fopodWhDzOG4Q6Jbn89kqFu6Gq0xnQvCDA+m+C\nW2pHUxFKTkpQfYMnbFCMJQg1uJvPE6niZ6yctaQhBjo+ghAAALCESM0SpBBBqOl3sz0z/q/h8VUz\nGtyeoIvx+igqHYGNAqJ5ZeO4W6MiJIVvINAchBL8gmT4ilDjMbH0FYgUhJxOh++1A+fMG3PNbkQb\nineuakxee8++I343Y41mPmFfNEsAAAAWEXxD1cCKULgN/2attY2MS7rcbk9Q0IpUbZCCL66j6Uxm\nbBpgvJCPNsCt+XK31nxV6veYyxl6LVtVTb0SExxyOh2me4S8e5USTLrWhatYRVoa5zIEobp6txIT\ngjtCxFqtqat3a/GH36vH8V3CHlP46Va/31kaBzMEIQAAYCl+N1SNYmnckeo6LXzvm6jObaxk/FBW\noQMV/t3JorlwrmsIDELBxwQ+ZAw//hWh6C7U/zLn06DHTugWOhBU19QrOaHxUzTrGldf71ZigtP0\nHkJVYbq+1YVpn+1twR0YhIxC3UA1Gh+u36nZi740PcZbDfqfKzL15KsbWBoHUyyNAwAAluALFI7w\ne4SCK0JuPb/0q6jvMxPYzvmNld+Znj+UwGVhUVWEwgSho23hLSlklUVqDAPe+wdlZ/T0PR4Y8urq\n3UEVMSOHozFUhRJuaVy3YztLagpCTX3BQ82ZFPt733uwKuIx3nEdm5okiaVxMEcQAgAAlhDqsjgx\n4h4hj3bs8W9nbSbwAj7w92iCUF29W52TEzT0gt6SottbYwxgxmVlLVm6Fe5GrNW19UpqqghlnJym\nRyYNDPladQ3uoKBp5PFIm3eG7r5XWx86CHVOdjWNzRm2InSkul5vfPBdzNWaaEKN93Pu0imx8TlU\nhGCCIAQAAKyhKVGYLY0LtUcoXGWhtq5Bb334vV/Y8VZmTuye0nhMwPkOVNRo0arvVFlVF3aYdfVu\nJSe6dNwxycZhh3wvga8rSdt2H/YbfyTRVJy83G6PqmoalJzY/Cn2OL6xShO4H6k+QkVIku6dHbwk\nT/IPkFkZPTXvnlzNv2+4r0rlvzTOPzS99dFm/f9vlET5jppFE1K9n3OXTo27P2Lpygf7IQgBAABL\nia1ZgjtsmPjHK+v15GtfaP47m3yPeS/gezaFg8DA89lXpfrn6yX65xtfhB1fXX2DEhOdcjYNNJru\nZ4FL8rzW/rs05ONG9WEaKoSqkBxpWsqWbPjcXK7Q3dsiVYTMGANkcqJLx6YmK6Vzoq8Vt8vp8IXY\naAJMNKKpnnnnt0tyYxD6ZvsBrQq4CS/gRRACAACW4NsiZKgJRW6fHb4iVLSxMWSUG+4N5G193TWl\nsZpTEabys6M0/HK7unp345K9pmFGu0coVE+C55d+FVQxCX690H8PFQzKm/bRHNOlef+Qtytc4PHR\nVITCMVaEjO/L28nO6XL6ljUGNpc4WtGcxzu/KZ0bl8Zt2XVIM5//TEeqw1f4YF8EIQAAYAmh8kRg\nxeLfm/dp7b93+343Wxp3sKJWknR80xI2qXnp1DFdGi+Uwy2Bc4ZoTf3N9v368vvypnbQzRWhUK8e\nOKSa2gaF681WHuEmruEqKnVNlSLvuCSp/EDjubr6BaHoKkLeQDOw30+C3n9qU7Dw8gtChnfm/UzM\nusYdraowjRsCx5XgcgYFvMqqyM+F/RCEAACANXiTkHFpXMAF7fbSw377Vhoa3GqIUJExXkB7L+C9\nFaFwQgWh/+9/P9Bt//jQFyC8x7hDLF0LrBLV1DYoZElIkYNQ4A1cvbxL47zjajxXY0Woa+fmIOSt\n0uw/XKMVRdt9Y/MGOq9jmz6TTsmuoHCZnOTfoc5vTIa3ZVwa19pB6P2iHUGPBe4BqqlrUHKiMyhA\nV1IRQggEIQAAYCnGvBDYLCGQWUXIq+JI80VwjS8IJZk+x+V0aHd5pT5YF3zxXVPboMQEl5Kaxhaq\ng1rgmGrqGsIuoSuP0BY6lqVxew8GV4QcDocSXA5t231YD/+rWMWb9vieb6ycHJPSWPU5VFkbdN4L\nzjpBkvQfZzf+r39FqJk3dDkczUGovsGtT0p2mb5Ho3A3ig2lruH/tXfv8U2Xd//HX0mTtEnTY9Ij\npeVYCj0hBwcWJvRGGB7QyU9EsGzOzTGnUzY2BUURUOHHxBMe5uPGe2PCmJsOUEBlN4eWcw/jfBCK\nxdKWQltK6fmU+482aZompQol37af518kTcOVvkn6/XBd1+dq5FxBGV/tP0fmyUJq6hrQaT1s+6Ks\nyivbviYh5EBVIYQQQihCR/YIOepQIWS3/M16AW80aG2HfzqjVqv41bJt1Dc00jfcr80SOq1GbTus\ntKaugXMFZVytrCWuvxlo20ChprbB5d/V3ozQ1cpatjuZCYGmAqPGof136dWm5zLqW8/gaDzU1Dc0\nPba2rsH2c7OfOZk8ui8frD/CrUNC2HukdeEydmgv7ru9P7X1jew/dqFVswT7A1nVtkKopYj9eOvX\nnPr2ssvX6EinVVNV0/6+Kaut+7/lg/UtjS10Wg8CfDzROBRTVytlRki0JYWQEEIIIRSh5UDVlvtc\nrCazaWhw3TXOqryqZTbAWjjotB546TxcXnCr1SrbjMsX+3LYmHq21de1GjWezYVQbV0DT/xxOwDr\nl09BrWrbFtt+DI5KylwXQi/99z5OnXNeRNTXN1J6tcZ2u8GuMNJqWv/gmmZImr6mUrW8NvsZt7vH\n9GV4TDBhZm/e/PvBVt/v460jPMhIflHbJhJOZ4RoOfD1uxRB0JRNRwsh+yIImrLw1HmgVqtaFboV\n7fz8Rc8lS+OEEEIIoQgWJ20HrAdj+hud7+npyIyQ/WyAdW+Lp9YDT53r/w9W21VgjkUQOM4ItcyO\nFJVWNS+Da/34/KIKl39Xe2cWuSqCoGlG6Ep5SyFUV99oe31ah8NW7dt3V1bX87/p3zY/zr5Zgorw\nIGOrGR4r61JCP2d7q5zsEXJ87u+iI99n9vNy+TWd1gOVSoWHuuV5XHUHFD2bzAgJIYQQQhna9krA\nU+vBB/Mm4GfUMfOFL9rsi7laWUveJdetrqFpxsW6H6a6tvmcHZ2HbUbHmWvtU9FqPGyFkP1+mbVf\nniS+v6nN4wsuuS6EKqu/X0ezRotDa/D6RttYNA6FkP3Pbd3WUxQ0F2bX2oNl5WNoKoQMXhq0GnWr\nBgj2RaOzPULflbadXKy89VrbfihH1lw1Hiqs26tkaZxwRmaEhBBCCKEojhMSYWZvDF7aNsu9APYc\nvvYm/JraBj7acoLyylquNjcC8DXo8LLrhPbEA4kMjQ7q8Bjtl8Z9bTdrsy0jt82yMsDpkjKr6+lo\nVmLXaOHImSKXhZC9ArvZqY4WK9bHqVQq/H0cZoXs/ipb4z9Vx5/bka4D3+fVzmye9fvtGya0N+sm\nei4phIQQQgihCC2ryVxdxHe8m5hVv15+AHyy/QzPvb/H1hHNx1vX6mI6MsS31XlD12r53LQ0ruky\nKvVg3jXHUV3res+L40V63qVyTp0rcfn45U+OZejApqKttLxl78vS1elUNrcK72gN8n2WrwU4FEL2\nqViX4HnpNG1abndUR2aEQgINLr9m/Xvti8GOnEEkeh4phIQQQgihCNc4Dshl++n2hJpaLpjP5l3h\nanMbZR+DDoNXSyGk0aha7Rly1hLbnlaj/t4X+o4qHWaEZi/9X+a+leby9fbr5YdB3zRW+z1CAIUl\nleg0aqf7fJzp6NI4e/7G1vtzrJ3yAKqalx566TwIDmhdrDzxQGKHnr+9GaEls29j5e/HY/LXu3yM\nUd+2NXpNO4Wo6LmkEBJCCCGEQjRd+HfwGt7GcYbCXqBP64v2sopa2z4Xg15ru1/j0TLDA1Dn4hBT\nKy+dxrZHyCoowPnFebCL+63yLlVwublznP2ZQq42+Ht4qG1txa9UtC6ESq/WtBlXezpyZo9jo4oA\n35bbM38Uw4SRkbbb1c0zL16emjazNn3D/To0pvaKOH8fT6JCfdss/Rs5JMT2Z6OhKVf7JhrWAk0I\ne1IICSGEEEJRXF0Gu7rADzV5u3yuAN/WhdCV8lrbxn+jQyFUWdVysXytGaHeIT5tmi2EBnqzcu74\nNo+Njgxo97kAFn+4H2jaY2RV4qIZgFrVcr7SlfK2baHtC7prae8MI4BnZo3g3WeSW90XGeJj+3N0\nZECrTnHWJYB6z7aFoqfWg1XP3cHqhZPa/D1ajdq2Z8u+Jbgj68/ccY+QfdFlzdW+maDMCAlnpBAS\nQgghhCK0bLR3Xgp5uViKFhnacmH+/58Yy8u/us12u1eQsdVjS8qqba2gra25ATw8VBQUtzQRcNbJ\nbdKoKNuf+4b7trnQr6tvICrM13Z7+h2DWPiLUfx43ACn47Z3OrcUgK/2n7Pdd+Z8qdPH2ndkc1wa\nB64LRmfOX3TexMHU3J46tq/JVjha9QlveY2OE0rWvTjWZYP2RZKf0ZPgQAMBPl5txuhj0BLcXMyU\nlFXhirUQ6h3SOtei0pbvsRZC9ksLq2VGSDgh7bOFEEIIoQjX2gJk3cMzOj6M/5c8kN+9mQo0Ld36\nnwUTqa6tJyK4qSh663fjuFJe43Q2JrB5lshbb7dHyENNwgAzx84WA1DevJcoONDAxZJKAGL7mdh9\nKJ/yqjoigo2tzg8CqHNo7R0RbGR4TIht2Vt7An09sVgsrWaBUv/T1IRh0qgorlbWtuqQ196MkPUg\n0464xUWnvLfnjudiSWWbGTWAqNCWQsixaLUujdM3Z/WXFyZxqbQSL52mVbe5cLM3OQVlttv9I/yJ\n62fifz4/Tlx/M+nHC52Oy1pA9QlrvcxuUFQg+45eAMDYXLjZj6xamiUIJ6QQEkIIIYRCODlIyI7e\ns+kiuLqmnujIAMYNi2BH1nni+pswO2yet+5HcXbY6o9G9wHA26v10rhpE6IZFhPMG3/7j+1sopjI\nAEIDDRw+U0SQv553n0mmsrq+udhoPVDHTnPWDm7WGSh7fkYdV8prGRUXyr6jF/DW66iqqafW7jmy\nTl0E4O4x/TiaXdSqELLOCFmbP9jz7ODSuD/+ZqzLfTs+Bl2bmSAr+9ejdiiErOPXNzei8PfxbNtu\nm6bldTkFZXjrtfxm2lBi+5nw9dYxpK+JRovFVgi9PXc8ahX8evl2oKUQsl8Kt/zJsQzo7c9fNh0H\nms4YgqYZqIrmmb32uvaJnktRhdCrr77KoUOHUKlUzJ8/n/j4eHcPSQghhBA3mas9QtZ9IdaL2l8/\nkMjdY/oyKCrQ5XOpnTQDiOnT9Hhvhz1CGg81MVGB+Bl15F1qur+wpJKlT4zhRE4Jsf1MqFQqAnys\n3+OwYX9w04b9kUNCSD9eSETzsjwPJy2qbx8Wwai4MAZFBvDEH7dTXllr2xvTK8hoK8RUqqbb+c23\nkxLCgZZZLWc6OiPU3s+tPR3pSOdqGaPVmKHhpB7M47b4MG5rfk3QlE3WyYu2233CfFsVs9afuVqt\n4k/P/heeOg9Mfq2LYGtxZvLTk998ZpLMCAlnFFMIpaenc+7cOdatW0d2djbPPfcc69atc/ewhBBC\nCHGTXGuPkHXfif1ZNd/nYt67ebZC79lyGWTfYOC3M4azMS2bjalnGdjbH42Hmni7FtFW9uNc+usx\nxEQ1LcP7Q8oIzhWUtTs2FSrbcxr1WgqKKli/MxuA4YODuXi5krr6Rsz+erQaNT+IC+OVXyUxpJ8J\nALOf605013NA63dV6rBHKWGAmcNnimznN7kyOj6cP/5mbKs9VVbWrnTRkf5A62LW/mce7rD/q1+4\nH2fzr9i691n3OUFT8WyxWDrcVlz0DIophPbu3cuECRMA6N+/P2VlZVRUVODt7boTjBBCCCG6j2ud\nEjRsUDDpxwsZ6mJfS0epbDMGTRfKfcJ8W3UhCwk08It74xmb2Ivedh3SnHn3D8l46TStWmd3pECz\n2L1a6+b+LXtzgKY9T9GRARw7W2ybyfBQq4gf0FKMBfq5nhHKv1QBOC9EUiYP5q9bTrQ7to5IHGjm\n0OmiNq3Ln3vkVrLPX2k1Vldc/Yz6hvvx2lM/JCLY6PTrrrz8eBIFReW2zEYMDmFH1nkAGhot1Dc0\nfqf9U6L7U0whVFRURFxcnO12QEAARUVF7RZC2zNzXX5NdL5vvqmgDMnA3SQHZZAc3E8yUIbrySHb\nRZc0q7uS+hIV6svgvt9vSZejgb0DWDL7NttSOUeu7rd3rULJKszk3aornX1jiBKHZgphZm+mjO3H\nsbPFDI8JwRn7PVGhJgMXiittt+sbXJ+B1CfMlz/N+682e3u+q+d/9gOyz18htnmGysrgpe1QEXQt\njk0u/vu5O2ho53VBU0E5sHfL990+LAKzv56P//01Wacu8u/03Gsu2bvR5HPJ/drOObZQTCHkqCOn\nR69Ym3UTRiLatfeyu0cgQHJQCsnB/SQDZbjOHOyXrNlTqVTXfZEd5nDmUOLA65td6qg/PvVDLhRX\nsCE1m9T/5NHPrgV1dGQA5y5c5akHhxLoqycxOggPtYqlvx7jstCy3yP0yx8noFI1FQJz30pjQETb\n2aBwszf5RRUEBxoIN3+3mRZnvHSaNkVQZ3I8nLWjYvuZbLN17/7z0I0cUsfJ55JbLZwR4fJrKktH\nKo6bYOXKlQQHBzNt2jQAJkyYwMaNGzEYnP/Dz8zMvJnDE0IIIYQQQnRBw4cPd3q/YmaEkpKSWLly\nJdOmTePYsWOEhIS4LILA9QsSQgghhBBCiGtRTCF0yy23EBsby/Tp0/Hw8OCFF15w95CEEEIIIYQQ\n3ZRilsYJIYQQQgghxM3SsaOHhRBCCCGEEKIbkUJICCGEEEII0eNIISSEEEIIIYTocaQQEkIIIYQQ\nQvQ4UgiJdpWXl7t7CD2eZKAMkoMySA7KIDkog+TgfpKBMnzfHDwWLly48MYORXQHubm5vPbaa2za\ntAkvLy8CAwPx8vLCYrGgUqncPbweQTJQBslBGSQHZZAclEFycD/JQBmuNwdpny2cevLJJxk2bBgx\nMTGkpaWhVquZO3euu4fVo0gGyiA5KIPkoAySgzJIDu4nGSjD9eYgS+OEzcWLF2loaKC8vByj0cjM\nmTMZPXo0M2bM4NixY6SlpQHQ2Njo5pF2X5KBMkgOyiA5KIPkoAySg/tJBspwI3OQQkhw8uRJUlJS\neOWVV3j++ecxGAzk5uayZ88eACIiIrj33ntZs2YNAGq1/LO50SQDZZAclEFyUAbJQRkkB/eTDJSh\nM3KQpHo4i8XC6tWrmTp1Km+88QbV1dWsWrWKGTNmsHz5ctvjkpKSCAgIIDMz042j7Z4kA2WQHJRB\nclAGyUEZJAf3kwyUobNykEKoh7FuCWtsbLRtJDMYDOh0OgBeeOEFdu7cSd++fQkICGDVqlUAmEwm\nNBoN/v7+bht7dyEZKIPkoAySgzJIDsogObifZKAMNysHTecMXyhVVVUVBoPBNl1YX1+PyWSiqqqK\nsrIyAgICmDRpEn/7299YvHgxc+bMITw8HLVaTU5OjnsH301IBsogOSiD5KAMkoMySA7uJxkow83K\nQdpn9xDHjx9n2bJl7Nq1Cy8vL8LDw/nTn/6EXq/HYDCQkZFBeHg4ISEhJCYmsmzZMiZMmMC4ceM4\nduwYO3fu5KmnnmLw4MHufildlmSgDJKDMkgOyiA5KIPk4H6SgTLc7BxkRqgHqKysZNmyZdx///34\n+Piwbds28vPzmT17tq3Henp6OpmZmXh7e9OvXz/uvvtu8vLymDBhAvHx8W5+BV2fZKAMkoMySA7K\nIDkog+TgfpKBMrgjB5kR6sZKSkrQ6XSUlJRw6tQpHn/8cSIjIwkLC+P9998nLi4Os9kMQFBQEKdO\nnWLjxo0UFxezefNmHnroIQICAtz8Kro2yUAZJAdlkByUQXJQBsnB/SQDZXBnDlIIdUMHDhzgqaee\n4uTJk+zZs4fJkyfzxhtvMGLECIKCgjCbzZSUlLBjxw4mTJgAgNlsZtiwYdTW1lJcXMzTTz9Nnz59\n3PtCujDJQBkkB2WQHJRBclAGycH9JANlUEQOFtGtlJeXW5544gnL7t27LRaLxfLwww9bNm3aZPng\ngw8sKSkpFovFYmlsbLTk5ORY5s6dazl9+rTl6tWrlr/+9a/uHHa3Ihkog+SgDJKDMkgOyiA5uJ9k\noAxKyUHaZ3cT1tNztVoter0ejaZp+9eCBQv4+OOPSU5OpqioiC+//BKVSoW/vz9arZbAwECMRiPB\nwcFAS7tC0XEWuxaPIBm4m+SgDJKDe8nnkrJIDu4nGbiXUj+TpFlCN2CxWGztBRsbGwkNDeXy5cvU\n1NQQHR1NbGwsW7ZsYdGiRSxfvhxPT0+Ki4u5cOECdXV1AEycOBHAthlNdFxdXR06nU4ycLOKigq8\nvb0lBzcrLy/HaDRKDm5WX1+PVquVHNxM3g/ud/ToUfr06YPRaAQkA3eprq5Gr9cr7r0ge4S6qKys\nLFavXs2YMWNsB00tWrSI2NhYSktLOXHiBOHh4ZhMJhITE1mwYAGPPfYYMTExZGRkcPToUebOnUvv\n3r3d/VK6rP3797Ns2TIOHTqEVquld+/evPzyy8TExHDlyhXJ4CbZt28fr7zyChkZGVRVVREdHc2S\nJUsYPHiw5HATZWZmMm/ePA4ePIi/vz/h4eHymeQG+/bt4/XXX+fkyZN4e3sTEhLCkiVL5HPpJktP\nT+ell14iIyODy5cvExsbK78fbrL09HQWLVrEpUuX+MEPfoBOp5PPJDfYt28fr776KllZWVRVVTFw\n4EBF/Y6WQqiLWrNmDR9++CE//OEPCQ0NBWDgwIGEhYURFRVFamoqDQ0NBAcHExAQwPnz5wkNDWXE\niBGMGjWKSZMmSaeT61BYWMiLL77IT37yEwIDA9m2bRsqlYqHHnoIf39/yeAm+frrr1m+fDmzZs3C\nbDZz4MABxo4dS3R0NOHh4ZLDTVJdXc2iRYt48MEHGTduHCaTCV9fX/r37y853ES5ubksXryYlJQU\n/P39SUtLQ61WM3XqVAICAiSHm6SoqIiFCxfyyCOPkJiYyNatWwkNDSU5OZng4GDJoZM1NDTw7rvv\n8pe//IWf/exnzJo1C51OByCfSTfZiRMnWLFiBSkpKYSGhrJv3z5GjRpFTEyMYnKQQqiLaGho4J13\n3uHUqVMUFhYSGhpKUFAQ69ev5/777wfAaDRisVjw9PTEx8eHw4cP88UXX3D27FkOHDjAQw89hMFg\ncPMr6boaGhr44IMPKC0t5cyZM4SEhDB16lSioqLw8/Pj3Xff5Y477kCv16PT6SSDTmLNoaysjB07\ndnD77bczceJELBYLhw4d4o477sDHxweVSiU5dCJrDiUlJVRUVFBZWck999xDr169OHLkCH5+fgQE\nBODh4SE5dCL7z6UjR47Qq1cvpk6dSmRkJN9++y2fffYZycnJeHl5SQ6dqKGhgaysLAIDAzl8+DCV\nlZWkpKTg4+PDnj17iI6Opn///jQ0NODl5SU5dAJrBhERERw6dIiwsDBmzpwJwJdffonJZCIwMFA+\nkzqZNQez2czevXvRarXMmDEDrVbLrl27uOuuu/D19QVQRA5SCHUBhYWFzJ8/H09PT0wmE4sWLWLh\nwoUkJyezdu1aNBoNgwcPprGxEbVajUqlIjw8nGHDhlFSUkJdXR1/+MMfMJlM7n4pXVZ+fj7z5s0D\nwMvLi+XLl1NQUMC9996LXq8nLCyM06dPc/jwYW677TYAyaATWHOwWCwYDAbWrl3LM888Q3l5OQsW\nLODq1ascPXqU/Px828FqksONZ/9+0Gq1LF26FI1Gg5+fH2+//TZZWVkcPHiQvLw8hg4dCkgOncH+\n/aDX61mxYgUFBQUMHz6ckJAQDh8+TF5eHiUlJQwfPhyQHDrL4sWL2bRpE/379ychIYG4uDiMRiOe\nnp5s2LCBuLg4IiIiUKlU8ju6kyxevJjPPvuMvn37MnbsWL788ksOHTrEhx9+SE5ODunp6XzzzTeM\nGDECkPdCZ1m8eDGff/450dHRDBw4kNWrV3Pq1Cneeust1Go1J0+epLS0lEGDBgHuz0EKoS7g/Pnz\nbN26lRUrVhAfH8+uXbvQarUMHjyY8PBw3nzzTe677z48PT1RqVTk5eXxxRdfkJiYSEJCAiNGjECv\n17v7ZXRpFy9eJDU1lddee434+HiKiorYtm0bVVVVjB07FovFgslkYs+ePSQmJlJWViYZdAJrDitW\nrCAuLo6srCxKSkqIi4tj4sSJtv91+vTTT4mLi6Ouro7NmzdLDjeY/fshMTGR3NxcPvvsM3Jycvj5\nz3/O448/jq+vL+vXryc2NlZy6CT274f4+HguXbrEqVOnqK+v57333qOhoYFx48bxzTffkJiYyKVL\nl/jqq69ISEiQHG6gyspK1q1bR3x8PCUlJfTt25eQkBAASktL2bRpEw8++CAGgwGVSkV+fj5btmyR\n98MNZM0gISGBoqIiRo4ciUqlIiMjg1mzZvHYY48RGhrK3//+dxISEmhoaJDPpE5gn0NhYSGjR4/m\nwQcf5ODBg9x3333MnTuX2tpatm7dypAhQ6iurnb7e0HaZ3cBJpOJ2bNn21oOxsXFMWDAAADGjBlD\ndHQ0a9asoa6ujm3btmE2mwkLC3PnkLsdvV5PVFQUJ06cAODRRx8lMTGRdevWcfbsWTw8PDAajXh5\neWE2m9Hr9ba9W+LGcczhd7/7HampqeTm5tr+BykhIYHevXtjMBjw9PSUHDqBYw6PPfYY8fHx8sXW\n2AAABz1JREFUHDt2zNbZJzExkcjISPR6veTQSRxzeOSRR4iIiGDy5MksWrSIJUuWEBUVRVFREb6+\nvhiNRtsFurhxDAYDv//97/nRj35EcXExmZmZtq9lZmYSERGByWSisLCQ7du3YzKZ5Hf0DWafQVFR\nEampqUyaNInHH3+ckSNHAthmKKzL1+Uz6cazz+Hy5cvs2LEDtVrN/v37MZvNAAwZMsT2eaSE3w0y\nI9QFeHt7ExkZiUqlor6+nlWrVjF+/Hj8/f1Rq9UkJCQwe/ZsNm/eTJ8+fRg+fDhRUVHuHna3otfr\nSU1NxcfHh4iICPz9/ampqWH79u3U1NSg0+nIzMwkOzub8ePH4+vrKxl0AscczGYz3377LR999BGX\nL1+md+/ebNiwgfT0dO666y7bBnFxYzl7P1RXV7N792569epFeXk5u3btIj09nbvvvlty6CSOOQQG\nBpKdnc2BAwcYPnw4eXl57Nq1i+rqasaMGYO3t7fk0EnMZjPBwcHk5OSQm5uLv78/QUFBnDt3josX\nL1JQUMDbb79NSEgIt9xyi+TQCawZnDt3jpycHAIDAxk0aBDbtm3Dx8eHTz/9lMzMTPlM6mT274Wc\nnByGDBmCRqNh5cqV3HnnnXz++eccPXqUSZMm2ZpLuZMUQl3MyZMnSUtL4xe/+AVqtZq9e/fyzjvv\nEB0dzWuvvUZSUpK7h9gtqdVqvL292bVrFyEhIQQFBTFw4ED27t1LUlISR48epbCwkGeffRZ/f393\nD7fbcpZDQkICGzdupKKigoyMDIqLi3nxxRcJCgpy93C7LVfvh927dzN58mTOnDnDhQsXmD9/vuTQ\niZzlMHToUD788EM0Gg27d+8mPz+fZ555Bh8fH3cPt1uzHmPh4+PDkSNH0Gq1REdH88knn/Dvf/8b\no9HIvHnzGD16tLuH2m05ZqDRaIiOjubPf/4z27dvp7i4mIULF9pmJkTncMyhtraWH//4x5w5c4a9\ne/eSn5/PggULFLMfS2WRI3K7lO3bt1NQUMDEiRNZsmQJnp6e/PSnP2Xw4MHuHlq3Z7FYWLlyJbW1\ntUybNs22FvbFF1+kvr7edjqy6FyOOVRUVPDJJ5/w3HPPUVNTg6enp7uH2CM45lBVVcWaNWt46aWX\nbL8IRedz9rn08ccfs2DBAnk/uElaWhqffvopeXl5GAwGnn76aVvTEHF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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "one_day_volume.tz_convert('EST').plot()\n", "plt.title('Trading Volume for 3/01/2017 by Minute')\n", "plt.xlabel('Minute')\n", "plt.ylabel('Volume');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we are trying to trade multiple different underlyings with futures contracts in the same algorithm, we need to be conscious of their volume relative to each other. All trading algorithms are dependent on orders being executed as determined by their calculations. Some contracts are so illiquid that entering into even the smallest position will amount to becoming a large part of the volume for a given day. This could heavily impact slippage\n", "\n", "Unsurprisingly, volume will also vary for different expiries on the same underlying. The front month contract, the contract closest to delivery, has the largest amount of volume. As we draw closer to delivery the front month's volume is eclipsed by the next expiry date as participants in the market close out their positions and roll them forward." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "contracts = symbols(['ESH16', 'ESM16', 'ESU16'])\n", "rolling_volume = get_pricing(contracts, start_date='2015-12-15', end_date='2016-09-15', fields='volume')" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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3Dr1ez4QJE9iyZQt2dnbMmzcPGxsbwsLCGDx4MFqtllGjRmFvb8+IESOYOHEi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\nxzN58mQGDhzI+fPn6dO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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rolling_volume.plot()\n", "plt.title('Volume for Different Expiries of same Underlying')\n", "plt.xlabel('Date')\n", "plt.ylabel('Volume');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Futures Positions Have Inherent Leverage\n", "In entering a futures position, you place down a certain amount of capital in a margin account. This margin account is exposed to the fluctuating futures price of the underlying that you have chosen. This creates a levered position off the bat as the value that you are exposed to (before delivery) in the account is different from the overall value that is on the hook at delivery.\n", "\n", "This internal leverage is determined on a contract to contract basis due to the different multipliers involved for different underlyings." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Roll-over\n", "If we want to maintain a futures position across expiries, we need to \"roll over\" our contracts. This is the practice of switching to the next month's contract after closing your previous holding. The majority of futures positions are either closed or rolled over before ever reaching delivery.\n", "\n", "The futures contract with expiry closest to the current date is known as the \"front month\" contract. It usually enjoys the smallest spread between futures and spot prices as well as the most liquidity. In contrast, the futures contract that has the furthest expiration date in a set of contracts is known as the \"back month\" contract. Contracts that are further out have significantly less liquidity, though they still may contain vague information about future prices anticipated by the market.\n", "\n", "By rolling forward our positions, we can maintain a hedge on a particular underlying or simply maintain a position across time. Without rolling contracts over we would be required to develop trading strategies that work only on a short timescale.\n", "\n", "This graph illustrates the volume that results from rolling over contracts on the first date where the front month contract's volume is eclipsed by the following month on the same underlying." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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DSU9PR1EUQkJCyMjIQK/XExcXlyeG3HG0a9eOAwcOAHDkyBFcXV3R6XTMnDlT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\nRtvJWSKpFSw1wappx+DHTw/aABh7fi4Ak6fNZPRV95DbdyD1drVCZ7V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sYCD571cIIUTn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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "maximum_any_day_volume = rolling_volume.max(axis=1)\n", "maximum_any_day_volume.name = 'Volume Roll-over'\n", "rolling_volume.plot()\n", "maximum_any_day_volume.plot(color='black', linestyle='--')\n", "plt.title('Volume for Front Contract with Volume-based Rollover')\n", "plt.xlabel('Date')\n", "plt.ylabel('Volume')\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this particular instance, our goal is to ride the wave of liquidity provided by the front contract. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Continuous Futures\n", "With futures, it is difficult to get a continuous series of historical prices. Each time that you roll forward to a new contract, the price series incurs a jump. This jump negatively impacts our analysis of prices as the discontinuity introduces shocks in our return and volatility measures that may not be representative of the actual changes in the underlying.\n", "\n", "We use the continuous futures objects as part of the platform to get a continuous chain of historical data for futures contracts, taking these concerns into account. There are several ways to adjust for the cost of carry when looking at historical data, though people differ on what they prefer. The general consensus is that an adjustment should be done.\n", "\n", "We can have a continuous future \"roll\" forward either based on calendar dates or based on the shift in volume from the front month contract to the next. The `ContinuousFuture` object is not a tradable asset, however. It is an API construct that abstracts the chain of consecutive contracts for the same underlying. They maintain ongoing references to the active contract in the chain and make it easier to to maintain a dynamic reference to contracts that you want to order as well as to get historical series of data, all based on your chosen method of adjustment and your desired roll method." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [], "source": [ "continuous_corn = continuous_future('CN', offset=0, roll='calendar', adjustment='mul')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The above defined continuous future has an `offset` of $0$, indicating that we want it to reference the front month contract at each roll. Incrementing the offset causes the continuous future to instead monitor the contract that is displaced from the front month by that number." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Adjustments\n", "We can define a continuous future to use multiplicative adjustments, additive adjustments, or no adjustments (`'mul'`, `'add'`, `None`). The cost of carry that is realized as we shift from one contract to the next can be seen as the shock from a dividend payment. Adjustments are important to frame past prices relative to today's prices by including the cost of carry. Additive adjustments close the gaps betwen contracts by simply taking the differences and aggregating those back, while multiplicative adjustments scale previous prices using a ratio to close the gap." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true }, "outputs": [], "source": [ "continuous_corn_price = history(continuous_corn, start_date='2009-01-01', end_date='2016-01-01', fields='price')" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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iNaEr+SQiyjcGKEQEAOg4FpsiNO5PfPVUXMG1p9HDbpVBOeG4OgDAhacsBABE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\n4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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "continuous_corn_price.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Once we have a continuous time series of prices we can conduct meaningful statistical analysis to form a foundation for our research. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Fewer Assets\n", "There are around 8000 equities in the US market, but there are far fewer futures contracts, especially those with enough liquidity to trade. We can make up for this by trading different expiries on the same underlying, though we need to ensure that we are conducting rigorous testing to ensure that our resulting signals are viable in the market given the potential liquidity constraints that come with not trading the front month." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*This presentation is for informational purposes only and does not constitute an offer to sell, a solicitation to buy, or a recommendation for any security; nor does it constitute an offer to provide investment advisory or other services by Quantopian, Inc. (\"Quantopian\"). Nothing contained herein constitutes investment advice or offers any opinion with respect to the suitability of any security, and any views expressed herein should not be taken as advice to buy, sell, or hold any security or as an endorsement of any security or company. In preparing the information contained herein, Quantopian, Inc. has not taken into account the investment needs, objectives, and financial circumstances of any particular investor. Any views expressed and data illustrated herein were prepared based upon information, believed to be reliable, available to Quantopian, Inc. at the time of publication. Quantopian makes no guarantees as to their accuracy or completeness. All information is subject to change and may quickly become unreliable for various reasons, including changes in market conditions or economic circumstances.*" ] } ], "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": "2.7.12" } }, "nbformat": 4, "nbformat_minor": 2 }