{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "#Beta Hedging\n", "By Evgenia \"Jenny\" Nitishinskaya and Delaney Granizo-Mackenzie with example algorithms by David Edwards\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", "Notebook released under the Creative Commons Attribution 4.0 License.\n", "\n", "---\n", "\n", "##Factor Models\n", "\n", "Factor models are a way of explaining the returns of one asset via a linear combination of the returns of other assets. The general form of a factor model is\n", "\n", "$$Y = \\alpha + \\beta_1 X_1 + \\beta_2 X_2 + \\dots + \\beta_n X_n$$\n", "\n", "This looks familiar, as it is exactly the model type that a linear regression fits. The $X$'s can also be indicators rather than assets. An example might be a analyst estimation.\n", "\n", "##What is Beta?\n", "\n", "An asset's beta to another asset is just the $\\beta$ from the above model. For instance, if we regressed TSLA against the S&P 500 using the model $Y_{TSLA} = \\alpha + \\beta X$, then TSLA's beta exposure to the S&P 500 would be that beta. If we used the model $Y_{TSLA} = \\alpha + \\beta X_{SPY} + \\beta X_{AAPL}$, then we now have two betas, one is TSLA's exposure to the S&P 500 and one is TSLA's exposure to AAPL.\n", "\n", "Often \"beta\" will refer to a stock's beta exposure to the S&P 500. We will use it to mean that unless otherwise specified." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Import libraries\n", "import numpy as np\n", "from statsmodels import regression\n", "import statsmodels.api as sm\n", "import matplotlib.pyplot as plt\n", "import math" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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gHMdASYfQjBIzHenD0jsiIiJKhNPtxW9e+Rh/+b+jmT4UynEMlHQIHa8zo5Q+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RLAFQvfjSRKPHd4NZquWaMQIlnUSsA4eamCyvhzmbP6JKqyvap9EWOPS0c9NNR689CCQvO6HeiK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\nyOro6EhAQAB/+tOfRLs2qGloaEB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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Get data for the specified period and stocks\n", "start = '2014-01-01'\n", "end = '2015-01-01'\n", "asset = get_pricing('TSLA', fields='price', start_date=start, end_date=end)\n", "benchmark = get_pricing('SPY', fields='price', start_date=start, end_date=end)\n", "\n", "# We have to take the percent changes to get to returns\n", "# Get rid of the first (0th) element because it is NAN\n", "r_a = asset.pct_change()[1:]\n", "r_b = benchmark.pct_change()[1:]\n", "\n", "# Let's plot them just for fun\n", "r_a.plot()\n", "r_b.plot()\n", "plt.ylabel(\"Daily Return\")\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can perform the regression to find $\\alpha$ and $\\beta$:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "alpha: 0.00108062811902\n", "beta: 1.92705010047\n" ] } ], "source": [ "# Let's define everything in familiar regression terms\n", "X = r_b.values # Get just the values, ignore the timestamps\n", "Y = r_a.values\n", "\n", "def linreg(x,y):\n", " # We add a constant so that we can also fit an intercept (alpha) to the model\n", " # This just adds a column of 1s to our data\n", " x = sm.add_constant(x)\n", " model = regression.linear_model.OLS(y,x).fit()\n", " # Remove the constant now that we're done\n", " x = x[:, 1]\n", " return model.params[0], model.params[1]\n", "\n", "alpha, beta = linreg(X,Y)\n", "print 'alpha: ' + str(alpha)\n", "print 'beta: ' + str(beta)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we plot the line $\\alpha + \\beta X$, we can see that it does indeed look like the line of best fit:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Tn/iEtmzZovR07+aGYeixxx6LeeEAAEBi0IURAEILGabKy8tVXl4e8DvDMBa002eeeUbv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\ncVMAAJpHmELndfiw+3mmpsHpq68kl+vUNoYhXXy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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X2 = np.linspace(X.min(), X.max(), 100)\n", "Y_hat = X2 * beta + alpha\n", "\n", "plt.scatter(X, Y, alpha=0.3) # Plot the raw data\n", "plt.xlabel(\"SPY Daily Return\")\n", "plt.ylabel(\"TSLA Daily Return\")\n", "\n", " # Add the regression line, colored in red\n", "plt.plot(X2, Y_hat, 'r', alpha=0.9);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Risk Exposure\n", "\n", "More generally, this beta gets at the concept of how much risk exposure you take on by holding an asset. If an asset has a high beta exposure to the S&P 500, then while it will do very well while the market is rising, it will do very poorly when the market falls. A high beta corresponds to high speculative risk. You are taking out a more volatile bet.\n", "\n", "At Quantopian, we value stratgies that have negligible beta exposure to as many factors as possible. What this means is that all of the returns in a strategy lie in the $\\alpha$ portion of the model, and are independent of other factors. This is highly desirable, as it means that the strategy is agnostic to market conditions. It will make money equally well in a crash as it will during a bull market. These strategies are the most attractive to individuals with huge cash pools such as endowments and soverign wealth funds.\n", "\n", "##Risk Management\n", "\n", "The process of reducing exposure to other factors is known as risk management. Hedging is one of the best ways to perform risk management in practice.\n", "\n", "###Hedging\n", "\n", "If we determine that our portfolio's returns are dependent on the market via this relation\n", "\n", "$$Y_{portfolio} = \\alpha + \\beta X_{SPY}$$\n", "\n", "then we can take out a short position in SPY to try to cancel out this risk. The amount we take out is $-\\beta V$ where $V$ is the total value of our portfolio. This works because if our returns are approximated by $\\alpha + \\beta X_{SPY}$, then adding a short in SPY will make our new returns be $\\alpha + \\beta X_{SPY} - \\beta X_{SPY} = \\alpha$. Our returns are now purely alpha, which is independent of SPY and will suffer no risk exposure to the market.\n", "\n", "###Market Neutral\n", "\n", "When a stragy exhibits a consistent beta of 0, we say that this strategy is market neutral.\n", "\n", "###Problems with Estimation\n", "\n", "The problem here is that the beta we estimated is not necessarily going to stay the same as we walk forward in time. As such the amount of short we took out in the SPY may not perfectly hedge our portfolio, and in practice it is quite difficult to reduce beta by a significant amount.\n", "\n", "We will talk more about problems with estimating parameters in future lectures. In short, each estimate has a stardard error that corresponds with how stable the estimate is within the observed data." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Implementing hedging\n", "\n", "Now that we know how much to hedge, let's see how it affects our returns. We will build our portfolio using the asset and the benchmark, weighing the benchmark by $-\\beta$ (negative since we are short in it)." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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YKBERERFRYjFQipIzeRdsDx53TumdZTIoJSIiIqLEYqAUpcZ1M5y8x12omQOP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Vdge0r7H55Rl4ro3FpQqSZhOzZQ/lgos3r250aLkbjSaSRCIo5mFbDGvr6r0Z/a/TlTszVXCx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\nf5nefPNNxowZQ1RUFNXV1eq5aLZrvaCggI4dO+Lu7s61117Ld999x5NPPkm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, "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Construct a portfolio with beta hedging\n", "portfolio = -1*beta*r_b + r_a\n", "portfolio.name = \"TSLA + Hedge\"\n", "\n", "# Plot the returns of the portfolio as well as the asset by itself\n", "portfolio.plot(alpha=0.9)\n", "r_b.plot(alpha=0.5);\n", "r_a.plot(alpha=0.5);\n", "plt.ylabel(\"Daily Return\")\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It looks like the portfolio return follows the asset alone fairly closely. We can quantify the difference in their performances by computing the mean returns and the volatilities (standard deviations of returns) for both:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "means: 0.00108062811902 0.00202262496904\n", "volatilities: 0.0272298767724 0.0304875405804\n" ] } ], "source": [ "print \"means: \", portfolio.mean(), r_a.mean()\n", "print \"volatilities: \", portfolio.std(), r_a.std()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We've decreased volatility at the expense of some returns. Let's check that the alpha is the same as before, while the beta has been eliminated:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "alpha: 0.00108062811902\n", "beta: 5.6898930012e-16\n" ] } ], "source": [ "P = portfolio.values\n", "alpha, beta = linreg(X,P)\n", "print 'alpha: ' + str(alpha)\n", "print 'beta: ' + str(beta)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that we developed our hedging strategy using historical data. We can check that it is still valid out of sample by checking the alpha and beta values of the asset and the hedged portfolio in a different time frame:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Asset Historical Estimate:\n", "alpha: 0.00108062811902\n", "beta: 1.92705010047\n", "Asset Out of Sample Estimate:\n", "alpha: 0.00114816439781\n", "beta: 1.04339843544\n", "Portfolio Out of Sample:\n", "alpha: 0.00114816439781\n", "beta: -0.883651665033\n" ] }, { "data": { "image/png": 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NFkIIIUQfZAMlXzmqosoapVEmHE1RWqKgqXaglBrGhgD55gxgHaidO3dK6d4o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DxmPA/DJiCuEB2vlCaEQjGp31CiXb8TC7lMfBiWTLzwg5FgMICU2fBIozM5AlBW6KP7uazSgB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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Get the alpha and beta estimates over the last year\n", "start = '2014-01-01'\n", "end = '2015-01-01'\n", "asset = get_pricing('TSLA', fields='price', start_date=start, end_date=end)\n", "benchmark = get_pricing('SPY', fields='price', start_date=start, end_date=end)\n", "r_a = asset.pct_change()[1:]\n", "r_b = benchmark.pct_change()[1:]\n", "X = r_b.values\n", "Y = r_a.values\n", "historical_alpha, historical_beta = linreg(X,Y)\n", "print 'Asset Historical Estimate:'\n", "print 'alpha: ' + str(historical_alpha)\n", "print 'beta: ' + str(historical_beta)\n", "\n", "# Get data for a different time frame:\n", "start = '2015-01-01'\n", "end = '2015-06-01'\n", "asset = get_pricing('TSLA', fields='price', start_date=start, end_date=end)\n", "benchmark = get_pricing('SPY', fields='price', start_date=start, end_date=end)\n", "\n", "# Repeat the process from before to compute alpha and beta for the asset\n", "r_a = asset.pct_change()[1:]\n", "r_b = benchmark.pct_change()[1:]\n", "X = r_b.values\n", "Y = r_a.values\n", "alpha, beta = linreg(X,Y)\n", "print 'Asset Out of Sample Estimate:'\n", "print 'alpha: ' + str(alpha)\n", "print 'beta: ' + str(beta)\n", "\n", "# Create hedged portfolio and compute alpha and beta\n", "portfolio = -1*historical_beta*r_b + r_a\n", "P = portfolio.values\n", "alpha, beta = linreg(X,P)\n", "print 'Portfolio Out of Sample:'\n", "print 'alpha: ' + str(alpha)\n", "print 'beta: ' + str(beta)\n", "\n", "\n", "# Plot the returns of the portfolio as well as the asset by itself\n", "portfolio.name = \"TSLA + Hedge\"\n", "portfolio.plot(alpha=0.9)\n", "r_a.plot(alpha=0.5);\n", "r_b.plot(alpha=0.5)\n", "plt.ylabel(\"Daily Return\")\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As we can see, the beta estimate changes a good deal when we look at the out of sample estimate. The beta that we computed over our historical data doesn't do a great job at reducing the beta of our portfolio, but does manage to reduce the magnitude by about 1/2." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##The alpha/beta Tradeoff\n", "\n", "Hedging against a benchmark such as the market will indeed reduce your returns while the market is not doing poorly. This is, however, completely fine. If your algorithm is less volatile, you will be able to take out leverage on your strategy and multiply your returns back up to their original amount. Even better, your returns will be far more stable than the original volatile beta exposed strategy.\n", "\n", "By and large, even though high-beta strategies tend to be deceptively attractive due to their extremely good returns during periods of market growth, they fail in the long term as they will suffer extreme losses during a downturn." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#Other types of hedging\n", "\n", "Although we will not execute them here, there are strategies for hedging that may be better suited for other investment approaches.\n", "\n", "##Pairs Trading\n", "\n", "One is pairs trading, in which a second asset is used in place of the benchmark here. This would allow you, for instance, to cancel out the volatility in an industry by being long in the stock of one company and short in the stock of another company in the same industry.\n", "\n", "[www.quantopian.com/lectures](https://www.quantopian.com/lectures)\n", "\n", "##Long Short Equity\n", "\n", "In this case we define a ranking over a group of $n$ equities, then long the top $p\\%$ and short the bottom $p\\%$ in equal dollar volume. This has the advantage of being implicitly, versus explicitly, hedged when $n$ is large. To see why this is the case, imagine buying a set of 100 securities randomly. The chance that the market exposure beta of these 100 is far from 1.0 is very low, as we have taken a large sample of the market. Similarly, when we rank by some independent metric and buy the top 100, the chance that we select securities whose overall beta is far from 1.0 is low. So in selecting 100 long and 100 short, the strategy beta should be very close to 1 - 1 = 0. Obviously some ranking systems will introduce a sample bias and break this assumption, for example ranking by the estimated beta of the equity.\n", "\n", "Another advantage of long short equity strategies is that you are making a bet on the ranking, or in other words the differential in performance between the top and bottom ranked equities. This means that you don't have to even worry about the alpha/beta tradeoff encountered in hedging." ] }, { "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": "2.7.11" } }, "nbformat": 4, "nbformat_minor": 0 }