{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Different definitions of momentum\n", "By Evgenia \"Jenny\" Nitishinskaya\n", "\n", "Notebook released under the Creative Commons Attribution 4.0 License.\n", "\n", "---\n", "\n", "A momentum strategy is one that buys stocks whose prices seem to be rising and sells those whose prices seem to be falling. That is, it assumes that if a stock price has a lot of momentum in some direction, it will keep moving in that direction. In this notebook I try out the different definitions of momentum described in http://arxiv.org/pdf/1208.2775.pdf. They define 4 different measures, called $p^{(1)}$, $p^{(0)}$, $p^{(2)}$, and $p^{(3)}$.\n", "\n", "Their approach is based in physics, where the momentum is defined as $p = mv$, the product of the mass and the velocity. First, they define $x(t)$ to be the log of the price of the security. Conveniently, the return on the security is then the derivative of $x(t)$, which is called the velocity $v(t)$. Then they suggest a number of different definitions of mass $m(t)$; in the examples below, we'll use the inverse of standard deviation and turnover rate as mass. This works with our analogy because the more volatile or the less liquid an asset (the smaller its mass), the easier it is to move its price (i.e. change its position). The different momenta are then defined (for a lookback window $k$) as:\n", "$$p^{(0)}(t) = \\sum_{i=0}^{k-1} v(t-i)$$\n", "$$p^{(1)}(t) = \\sum_{i=0}^{k-1} m(t-i) v(t-i)$$\n", "$$p^{(2)}(t) = \\frac{\\sum_{i=0}^{k-1} m(t-i) v(t-i)}{\\sum_{i=0}^{k-1} m(t-i)}$$\n", "$$p^{(3)}(t) = \\frac{\\mu(v(t-k+1),\\ldots, v(t))}{\\sigma(v(t-k+1),\\ldots, v(t))} $$\n", "\n", "First, let's just implement the different momentum definitions, and plot the rolling momenta for one stock:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "\n", "k = 30\n", "start = '2014-01-01'\n", "end = '2015-01-01'\n", "pricing = get_pricing('PEP', fields='price', start_date=start, end_date=end)\n", "fundamentals = init_fundamentals()\n", "num_shares = get_fundamentals(query(fundamentals.earnings_report.basic_average_shares,)\n", " .filter(fundamentals.company_reference.primary_symbol == 'PEP',), end)\n", "x = np.log(pricing)\n", "v = x.diff()\n", "m = get_pricing('PEP', fields='volume', start_date=start, end_date=end)/num_shares.values[0,0]\n", "\n", "p0 = pd.rolling_sum(v, k)\n", "p1 = pd.rolling_sum(m*v, k)\n", "p2 = p1/pd.rolling_sum(m, k)\n", "p3 = pd.rolling_mean(v, k)/pd.rolling_std(v, k)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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8CR6FSFDAHyIS0cjO1v+A2uxWLr92yRmdVsdSNT8/9rio2I7ZrE9QzrZlkGFN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bq2KDIVy3gqqgrw+wN0drjHX1hEEqbM4xzlctq59eYLgNBUGp/5wTM8t7eZvzx1lBsvjc0Aen1+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\nIiOkO3j8M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zeh161cuZIlKypinh9we3n0/r8CcN5555HtciT7MTJWMBCg4T3/Qf6SJay+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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f, (ax1, ax2) = plt.subplots(2,1)\n", "ax1.plot(p0)\n", "ax1.plot(p1)\n", "ax1.plot(p2)\n", "ax1.plot(p3)\n", "ax1.set_title('Momentum of PEP')\n", "ax1.legend(['p(0)', 'p(1)', 'p(2)', 'p(3)'], bbox_to_anchor=(1.1, 1))\n", "\n", "ax2.plot(p0)\n", "ax2.plot(p1)\n", "ax2.plot(p2)\n", "ax2.plot(p3)\n", "ax2.axis([0, 300, -0.005, 0.005])\n", "ax2.set_xlabel('Time');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In order to use this in a strategy, we should wrap our momentum calculator in a function:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def get_p(prices, m, d, k):\n", " \"\"\" Returns the dth-degree rolling momentum of data using lookback window length k \"\"\"\n", " x = np.log(prices)\n", " v = x.diff()\n", " m = np.array(m)\n", " \n", " if d == 0:\n", " return pd.rolling_sum(v, k)\n", " elif d == 1:\n", " return pd.rolling_sum(m*v, k)\n", " elif d == 2:\n", " return pd.rolling_sum(m*v, k)/pd.rolling_sum(m, k)\n", " elif d == 3:\n", " return pd.rolling_mean(v, k)/pd.rolling_std(v, k)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we implement the strategy described in the paper: pick a holding period, and every period rebalance your portfolio to be long \\$1000 each in the highest-momentum stocks and short \\$1000 each in the lowest-momentum stocks. In the code below, my holding period is simply twice the lookback period." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/usr/local/lib/python2.7/dist-packages/pandas/tools/plotting.py:856: UserWarning: 'colors' is being deprecated. Please use 'color'instead of 'colors'\n", " warnings.warn((\"'colors' is being deprecated. Please use 'color'\"\n" ] }, { "data": { "image/png": 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JSUlJ9O3bl0aNGtG5c2d++OEHqz8PwKRJkywObarMy8uLtLS0Wo+7WdKTIIQQQghRG2vm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8bA7Nnw6KNieuVKp4Hw9ttClviRR9ru89prnfPtRc5z54qIlV3K6NAOkaQk0SJFkg7cYNnLqc+O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39/jh8/zqpVqwAsDOG4ImX2zp07l+uagYGB7Nq1i7Zt25beuJZhujBV1b+zAkFNpnYbCXv3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\nWMCDDz7I559/DsDpp5+euMN4x44d9+6XFSG1a9fmpZdeY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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Load the assets we want to trade\n", "start = '2010-01-01'\n", "end = '2015-01-01'\n", "assets = sorted(['STX', 'WDC', 'CBI', 'JEC', 'VMC', 'PG', 'AAPL', 'PEP', 'AON', 'DAL'])\n", "data = get_pricing(assets, start_date='2010-01-01', end_date='2015-01-01').loc['price', :, :]\n", "\n", "# Get turnover rate for the assets\n", "fundamentals = init_fundamentals()\n", "num_shares = get_fundamentals(query(fundamentals.earnings_report.basic_average_shares,)\n", " .filter(fundamentals.company_reference.primary_symbol.in_(assets),), end)\n", "turnover = get_pricing(assets, fields='volume', start_date=start, end_date=end)/num_shares.values[0]\n", "\n", "# Plot the prices just for fun\n", "data.plot(figsize=(10,7), colors=['r', 'g', 'b', 'k', 'c', 'm', 'orange',\n", " 'chartreuse', 'slateblue', 'silver'])\n", "plt.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)\n", "plt.ylabel('Price')\n", "plt.xlabel('Time');" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Calculate all the rolling momenta for the data and compute daily ranking of assets by momentum\n", "lookback = 30\n", "ps = np.array([np.array(get_p(data, turnover, j, lookback).T) for j in range(4)])\n", "orders = [[ps[j].T[i].argsort() for i in range(len(ps[0,0]))] for j in range(4)]\n", "ranks = [[orders[j][i].argsort() for i in range(len(orders[1]))] for j in range(4)]" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Cast data to numpy array for easier manipulation\n", "data_array = np.array(data)\n", "\n", "# Simulate going long on high-momentum stocks and short low-momentum stocks\n", "# Our first 2*lookback - 2 values will be NaN since we used 2 lookback windows, so start on day 2*lookback\n", "tots = [[0]*4 for j in range(len(data) - 2*lookback)]\n", "for t in range(2*lookback, len(ranks[0]) - 2*lookback):\n", " tots[t] = list(tots[t-1])\n", " # Only update portfolio every 2*lookback days\n", " if t%(2*lookback):\n", " continue\n", " # Go long top quintile of stocks and short bottom quintile\n", " shorts = np.array([[int(x < 2)for x in ranks[j][t]] for j in range(4)])\n", " longs = np.array([[int(x > 7) for x in ranks[j][t]] for j in range(4)])\n", " # How many shares of each stock are in $1000\n", " shares_in_1k = 1000/data_array[t]\n", " # Go long and short $1000 each in the specified stocks, then clear holdings in 2*lookback days\n", " returns = (data_array[t+2*lookback]*shares_in_1k - [1000]*len(assets))*(longs - shorts)\n", " tots[t] += np.sum(returns, 1)\n", "\n", "# Adjust so that tots[t] is actually money on day t\n", "tots = [[0,0,0,0]]*2*lookback + tots" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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N1sNQFEnPWLVUPd02HwNJmpYd2SwVExTrzNWugT0aTb3e9LV3m41hua5Qr+ap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\ndHZ2ph2Gfk3mL9/MH7zYP8DzQFtrG9NT+rc48q972Alc3Nx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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot total money earned using the 3 different momentum definitions\n", "plt.plot(tots)\n", "plt.title('Cash in portfolio')\n", "plt.legend(['p(0)', 'p(1)', 'p(2)', 'p(3)'], loc=4)\n", "plt.xlabel('Time')\n", "plt.ylabel('$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Going forward\n", "\n", "* Implement in Zipline; it will definitely be more accurate for evaluating strategy performance.\n", "* Pick from the whole universe of stocks.\n", "* Reinvest cash into portfolio.\n", "* What are good lookback and holding period lengths? I picked 30 days as a reasonable default but others might make more sense (or even different lengths for the different momentum definitions). Be careful not to overfit here!\n", "* Try different definitions of mass. The paper suggests turnover rate and daily transaction value (and volatility is only used for $p^{(3)}$)." ] } ], "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 }