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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"Reading AAPL\n" | |
] | |
}, | |
{ | |
"data": { | |
"image/png": 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ocD5KysbbzYnnv9/N9Pgwnrh43BGDXzN1dfDf/8LDD0NNDVx/Pfz1r+DRP4NO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\nhj9JkiRJyoH/BzKI+hqaFB9QAAAAAElFTkSuQmCC\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0xb7d2dd8>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# Load pricing data for an asset\n", | |
"start = '2014-01-01'\n", | |
"end = '2015-01-01'\n", | |
"data = dl.load_data_nologs('nasdaq', ['AAPL'], start, end)\n", | |
"prices = data['ADJ CLOSE']\n", | |
"dates = prices.index\n", | |
"\n", | |
"# Plot the price of the asset over time\n", | |
"plt.figure(figsize=(15,7))\n", | |
"plt.plot(prices['AAPL'])\n", | |
"\n", | |
"# Find the line of best fit to illustrate the trend\n", | |
"X = np.arange(len(dates))\n", | |
"x = sm.add_constant(X) # Add a column of ones so that line can have a y-intercept\n", | |
"model = regression.linear_model.OLS(prices['AAPL'], x).fit()\n", | |
"a = model.params[0] # Get coefficients of line\n", | |
"b = model.params[1]\n", | |
"prices['Y_hat'] = X * b + a\n", | |
"plt.plot(prices['Y_hat'], 'r', alpha=0.9);\n", | |
"plt.ylabel('Price')\n", | |
"plt.legend(['AAPL', 'Trendline']);\n", | |
"plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"The hypothesis here is that the motion of the stock is based on some upwards trend, captured by the linear model, plus some random noise." | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Momentum and Auto-Correlation\n", | |
"\n", | |
"Many things in finance are autocorrelated. An intuitive explanation for this is that prices are determined by traders, which take into account past prices when determining new ones. The formula might be\n", | |
"\n", | |
"$$P_t = T_t + \\epsilon$$\n", | |
"$$T_t = X + P_{1, t-1}$$\n", | |
"$$P_t = X + P_{1, t-1} + \\epsilon$$\n", | |
"\n", | |
"Where X covers all the other factors traders consider and $\\epsilon$ is random noise. This is the definition of an autocorrelated series, in which the value at time $t$ depends on previous values.\n", | |
"\n", | |
"Some forms of autocorrelation will not exhibit momentum behavior. For instance, a very simple autocorrelation relation could be as follows." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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bf8T4qqpXcXUNIiRksTPKlVPImAmEwELgRuBcwzAyD34sAX4HXGAYRgFw/sF/i4iIiIic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\nhoi/CJK0d1Oxq2srxgd68bFJy6w+bmTsycGiMzMrKQe7xc5bpSL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rVlFaWMiN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6PRcPDgQcaOHfuHUQm+UG45nEeesYl9Q5LwcDJL6DAayRkxEtWUyYS8/HIXj9CFi2uHa8KY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\nRU5ErkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0xb825cc0>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"def generate_autocorrelated_values(N):\n", | |
" X = np.zeros(N)\n", | |
" for i in range(N-1):\n", | |
" X[i+1] = X[i] + np.random.normal(0, 1)\n", | |
" return X\n", | |
"\n", | |
"plt.figure(figsize=(15,7))\n", | |
"for i in range(10):\n", | |
" X = generate_autocorrelated_values(100)\n", | |
" plt.plot(X)\n", | |
"plt.xlabel('$t$')\n", | |
"plt.ylabel('$X_t$');\n", | |
"plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"These series will not exhibit momentum behavior, as the amount they go up and down each timestep is purely random. However, if the series' returns are autocorrelated, then we will see momentum behavior. We can simulate this as follows." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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L4xgDO5or+cPnt/Hi7mbaa1W1upnZzCynxk7RO5bf9P3U2Clms7MAVAWq6K7v5oUNL9BT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\njrIQSpIkSVKO+v9D14wrkL4hzQAAAABJRU5ErkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0xbe712b0>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"def generate_autocorrelated_values(N):\n", | |
" X = np.zeros(N)\n", | |
" for i in range(1, N-1):\n", | |
" # Do the past returns 'look good' to investors\n", | |
" past_returns = X[i] - X[i-1]\n", | |
" # Investors hypothesize that future returns will be equal to past returns and buy at that price\n", | |
" X[i+1] = X[i] + past_returns + np.random.normal(0, 1)\n", | |
" return X\n", | |
"\n", | |
"plt.figure(figsize=(15,7))\n", | |
"for i in range(10):\n", | |
" X = generate_autocorrelated_values(10)\n", | |
" plt.plot(X)\n", | |
"plt.xlabel('$t$')\n", | |
"plt.ylabel('$X_t$');\n", | |
"plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"It's now clear to see that if investors incorporate information about past returns into the future price, we will see momentum behavior. Obviously in real data this will be far more noisy and difficult to observe." | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Testing for Autocorrelation\n", | |
"\n", | |
"We can test for autocorrelation in a few ways. One is by checking for a unit root. If the series has a unit root, we should be worried that there is autocorrelation present." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 25, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"X1\n", | |
"We reject the null hypothesis that the series has a unit root.\n", | |
"X2\n", | |
"We reject the null hypothesis that the series has a unit root.\n" | |
] | |
} | |
], | |
"source": [ | |
"from statsmodels.tsa.stattools import adfuller\n", | |
"\n", | |
"X1 = generate_autocorrelated_values(100)\n", | |
"X2 = np.random.normal(0, 1, 100)\n", | |
"\n", | |
"# Compute the p-value of the Dickey-Fuller statistic to test the null hypothesis that yw has a unit root\n", | |
"print 'X1'\n", | |
"_, pvalue, _, _, _, _ = adfuller(X1)\n", | |
"if pvalue > 0.05:\n", | |
" print 'We cannot reject the null hypothesis that the series has a unit root.'\n", | |
"else:\n", | |
" print 'We reject the null hypothesis that the series has a unit root.'\n", | |
"print 'X2'\n", | |
"_, pvalue, _, _, _, _ = adfuller(X2)\n", | |
"if pvalue > 0.05:\n", | |
" print 'We cannot reject the null hypothesis that the series has a unit root.'\n", | |
"else:\n", | |
" print 'We reject the null hypothesis that the series has a unit root.'" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Momentum vs. Mean Reversion\n", | |
"\n", | |
"Momentum and mean reversion are in a sense opposite strategies. In a momentum model one hypothesizes that past upwards movement is indicative of future upwards movement. In a mean reversion model one hypothesizes that past upward trends are simply temporary overvaluings and the price will return to normal. Both are important models that work in different cases.\n", | |
"\n", | |
"It is important to check for which kind of behavior might be present in your data before you actually try developing a strategy based on that." | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Time Frame is Important\n", | |
"\n", | |
"Momentum behavior and mean reversion behavior can both occur in the same asset. Take for example AAPL again. We can see a trend upwards, but there is also movement around that trend. One approach could be to buy an hold AAPL and attempt to make money on the longer timeframe. Another approach would be to buy AAPL whenever it went under the trendline and sell it whenever it was beneath. This strategy would work on shorter timeframes." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"Reading AAPL\n" | |
] | |
}, | |
{ | |
"data": { | |
"image/png": 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MiXfMns9p8cHoFG3Poatzuzl/8fHxFBUVUVlZ6eiluDyDwUB8fLyjlyGEEEKIEXaouB4/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\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0xba05ac8>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# Load pricing data for an asset\n", | |
"start = '2016-03-01'\n", | |
"end = '2017-01-01'\n", | |
"data = dl.load_data_nologs('nasdaq', ['AAPL'], start, end)\n", | |
"prices = data['ADJ CLOSE']\n", | |
"dates = prices.index\n", | |
"\n", | |
"# Plot the price of the asset over time\n", | |
"plt.figure(figsize=(15,7))\n", | |
"plt.plot(prices['AAPL'])\n", | |
"\n", | |
"# Find the line of best fit to illustrate the trend\n", | |
"X = np.arange(len(dates))\n", | |
"x = sm.add_constant(X) # Add a column of ones so that line can have a y-intercept\n", | |
"model = regression.linear_model.OLS(prices['AAPL'], x).fit()\n", | |
"a = model.params[0] # Get coefficients of line\n", | |
"b = model.params[1]\n", | |
"prices['Y_hat'] = X * b + a\n", | |
"plt.plot(prices['Y_hat'], 'r', alpha=0.9);\n", | |
"plt.ylabel('Price')\n", | |
"plt.legend(['AAPL', 'Trendline']);\n", | |
"plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"To see how a mean reversion signal might look, let's look at the difference between the asset and the prediction. Sure enough, looks like some good opportunity for mean reversion as the price difference crosses the zero line many times." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 8, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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WEfa5QEtoULzCt4OeGxjPc4FERJQcthzvwLefPYKu/ujdAP3so/vwwBu1Ubs+UTJjCKRh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| |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0xba8f780>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.figure(figsize=(15,7))\n", | |
"plt.plot((prices['AAPL'] - prices['Y_hat']).values)\n", | |
"plt.hlines(np.mean(prices['AAPL'] - prices['Y_hat']), 0, len(dates), colors='r')\n", | |
"plt.hlines(np.std(prices['AAPL'] - prices['Y_hat']), 0, len(dates), colors='r', linestyles='dashed')\n", | |
"plt.hlines(-np.std(prices['AAPL'] - prices['Y_hat']), 0, len(dates), colors='r', linestyles='dashed')\n", | |
"plt.xlabel('Time')\n", | |
"plt.ylabel('Dollar Difference')\n", | |
"plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Time Frame is Important for Predictive Capacity\n", | |
"\n", | |
"Each momentum measure will be predictive over different time horizons. Some over years and some over days. This will also be true of different asset classes. Some asset classes have momentum over years and some over days. It is important, when constructing a momentum model, to keep in mind what time frame makes sense. That time frame should be roughly the time frame on which you rebalance/exit the trade. It should also be the time frame you use when measuring predictive capacity of your model." | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### IMPORTANT: Model Selection\n", | |
"\n", | |
"It is important not to fall prey to statistical biases by throwing a lot of models at a dataset and seeing which fit. To understand why this is true, see The Dangers of Overfitting. In short, if you throw a lot of models at a dataset, one will likely happen to look good based on random chance. This model will not have predictive power on any new data, just the data you've already seen.\n", | |
"\n", | |
"A better approach is to let your model creation be driven by underlying things you know to be true about your data. For instance, here is a good development path:\n", | |
"1. Hypothesize that based on investor psychology, certain stocks should exhibit momentum behavior.\n", | |
"2. Construct a mathemtical model that follows this hypothesis.\n", | |
"3. Test your hypothesis by seeing if that model fits your data well.\n", | |
"4. Test your model out of sample on new data you've never seen before." | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Trading on Momentum\n", | |
"\n", | |
"### Measuring Momentum\n", | |
"\n", | |
"To trade on momentum, we must first be able to measure it. For information on how to measure momentum, please see the Measuring Momentum notebook. Various ways to quantify momentum will be discussed there. We will discuss what you might do once you have developed a measure of momentum here.\n", | |
"\n", | |
"All following examples will assume that a good measure of momentum $p$, has been developed. The notation $p(A_t)$ will denote the momentum of asset $A$ and time $t$.\n", | |
"\n", | |
"### Entry and Exit Signals\n", | |
"\n", | |
"One way to use momentum is to have cutoffs and enter a position when momentum is significantly high, and leave it when momentum is significantly low. The can be done for shorting stocks as well if momentum is in the negative direction. Good examples of this would be moving average crossover strategies, as discussed in the Measuing Momentum.\n", | |
"\n", | |
"### Ranking Stocks for Long-Short Baskets\n", | |
"\n", | |
"Another approach is to use momentum as a factor for ranking stocks. The general approach and its benefits are descrbed in the Long-Short Equity and Ranking Universes by Factors. In short, you make a bet that stocks with higher momentum will outperform those with lower momentum. This tends to be more market neutral and robust. Momentum could also be used as one of many factors in a ranking scheme.\n", | |
"\n", | |
"#### Cross-Sectional Momentum\n", | |
"\n", | |
"Cross sectional momentum is when rather than looking at absolute momentum, you look at momentum of every stock relative to every other stock. This has the advantage of providing a relative scale, rather than a somewhat meaningless absolute measure of momentum." | |
] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python 2", | |
"language": "python", | |
"name": "python2" | |
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"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 2 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython2", | |
"version": "2.7.13" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 0 | |
} |
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