{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Pairs Trading Strategy\n", "\n", "Pairs trading is a nice example of a strategy based on mathematical analysis. \n", "\n", "The principle is as follows:\n", "Let's say you have a pair of securities X and Y that have some underlying economic link. An example might be two companies that manufacture the same product, for example Pepsi and Coca Cola. You expect the spread (ratio or difference in prices) between these two to remain constant with time. However, from time to time, there might be a divergence in the spread between these two pairs. The divergence within a pair can be caused by temporary supply/demand changes, large buy/sell orders for one security, reaction for important news about one of the companies, and so on. When there is a temporary divergence between the two securities, i.e. one stock moves up while the other moves down, the pairs trade would be to short the outperforming stock and to long the underperforming one, betting that the \"spread\" between the two would eventually converge.\n", "\n", "Pairs trading is a market neutral trading strategy enabling traders to profit from virtually any market conditions: uptrend, downtrend, or sideways movement.\n", "\n", "We'll start by constructing an artificial example." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "!pip install statsmodels --user \n", "!pip install tensorboardX --user\n", "!pip install pandas==0.24.2 --user\n", "!pip install plotly\n", "!pip install bs4 --user\n", "!pip install plotly --user\n", "!pip install -U auquan_toolbox --user" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "\n", "import statsmodels\n", "from statsmodels.tsa.stattools import coint\n", "# just set the seed for the random number generator\n", "np.random.seed(107)\n", "\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Explaining the Concept: We start by generating two fake securities.\n", "We model X's daily returns by drawing from a normal distribution. Then we perform a cumulative sum to get the value of X on each day." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Generate the daily returns\n", "Xreturns = np.random.normal(0, 1, 100) \n", "# sum them and shift all the prices up\n", "X = pd.Series(np.cumsum(Xreturns), name='X') + 50\n", "X.plot(figsize=(15,7))\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we generate Y. Y is supposed to have a deep economic link to X, so the price of Y should vary pretty similarly. We model this by taking X, shifting it up and adding some random noise drawn from a normal distribution." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "noise = np.random.normal(0, 1, 100)\n", "Y = X + 5 + noise\n", "Y.name = 'Y'\n", "pd.concat([X, Y], axis=1).plot(figsize=(15,7))\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Cointegration\n", "Cointegration, very loosely speaking, is a \"different\" form of correlation. If two series are cointegrated, the ratio between them will vary around a mean.\n", "For pairs trading to work between two timeseries, the expected value of the ratio over time must converge to the mean, i.e. they should be cointegrated.\n", "The time series we constructued above are cointegrated. " ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "(Y/X).plot(figsize=(15,7)) \n", "plt.axhline((Y/X).mean(), color='red', linestyle='--') \n", "plt.xlabel('Time')\n", "plt.legend(['Price Ratio', 'Mean'])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Testing for Cointegration\n", "There is a convenient test that lives in statsmodels.tsa.stattools. We should see a very low p-value, as we've artificially created two series that are as cointegrated as physically possible." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# compute the p-value of the cointegration test\n", "# will inform us as to whether the ratio between the 2 timeseries is stationary\n", "# around its mean\n", "score, pvalue, _ = coint(X,Y)\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### How to make a pairs trade?\n", "Because two cointegrated time series (such as X and Y above) drift towards and apart from each other, there will be times when the spread is high and times when the spread is low. We make a pairs trade by buying one security and selling another. This way, if both securities go down together or go up together, we neither make nor lose money — we are market neutral.\n", "\n", "Going back to X and Y above that follow Y = ⍺ X + e, such that ratio (Y/X) moves around it’s mean value ⍺, we make money on the ratio of the two reverting to the mean. In order to do this we’ll watch for when X and Y are far apart, i.e ⍺ is too high or too low:\n", "\n", "* Going Long the Ratio This is when the ratio ⍺ is smaller than usual and we expect it to increase. In the above example, we place a bet on this by buying Y and selling X.\n", "* Going Short the Ratio This is when the ratio ⍺ is large and we expect it to become smaller. In the above example, we place a bet on this by selling Y and buying X.\n", "\n", "Note that we always have a “hedged position”: a short position makes money if the security sold loses value, and a long position will make money if a security gains value, so we’re immune to overall market movement. We only make or lose money if securities X and Y move relative to each other.\n", "\n", "### Using Data to find securities that behave like this\n", "The best way to do this is to start with securities you suspect may be cointegrated and perform a statistical test. If you just run statistical tests over all pairs, you’ll fall prey to multiple comparison bias.\n", "\n", "Multiple comparisons bias is simply the fact that there is an increased chance to incorrectly generate a significant p-value when many tests are run, because we are running a lot of tests. If 100 tests are run on random data, we should expect to see 5 p-values below 0.05. If you are comparing n securities for co-integration, you will perform n(n-1)/2 comparisons, and you should expect to see many incorrectly significant p-values, which will increase as you increase. To avoid this, pick a small number of pairs you have reason to suspect might be cointegrated and test each individually. This will result in less exposure to multiple comparisons bias.\n", "\n", "So let’s try to find some securities that display cointegration. Let’s work with a basket of US large cap tech stocks — in S&P 500. These stocks operate in a similar segment and could have cointegrated prices. We scan through a list of securities and test for cointegration between all pairs. It returns a cointegration test score matrix, a p-value matrix, and any pairs for which the p-value was less than 0.05. This method is prone to multiple comparison bias and in practice the securities should be subject to a second verification step. Let’s ignore this for the sake of this example.\n", "\n", "Note: We include the market benchmark (SPY) in our data — the market drives the movement of so many securities that often you might find two seemingly cointegrated securities; but in reality they are not cointegrated with each other but both cointegrated with the market. This is known as a confounding variable and it is important to check for market involvement in any relationship you find.\n" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "def find_cointegrated_pairs(data):\n", " n = data.shape[1]\n", " score_matrix = np.zeros((n, n))\n", " pvalue_matrix = np.ones((n, n))\n", " keys = data.keys()\n", " pairs = []\n", " for i in range(n):\n", " for j in range(i+1, n):\n", " S1 = data[keys[i]]\n", " S2 = data[keys[j]]\n", " result = coint(S1, S2)\n", " score = result[0]\n", " pvalue = result[1]\n", " score_matrix[i, j] = score\n", " pvalue_matrix[i, j] = pvalue\n", " if pvalue < 0.05:\n", " pairs.append((keys[i], keys[j]))\n", " return score_matrix, pvalue_matrix, pairs" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Processing data for stock: SPY\n", "Processing data for stock: AAPL\n", "Processing data for stock: ADBE\n", "Processing data for stock: EBAY\n", "Processing data for stock: MSFT\n", "Processing data for stock: QCOM\n", "Processing data for stock: HPQ\n", "Processing data for stock: JNPR\n", "Processing data for stock: AMD\n", "Processing data for stock: IBM\n", "20% done...\n", "40% done...\n", "60% done...\n", "80% done...\n" ] } ], "source": [ "from backtester.dataSource.yahoo_data_source import YahooStockDataSource\n", "from datetime import datetime\n", "\n", "startDateStr = '2007/12/01'\n", "endDateStr = '2017/12/01'\n", "cachedFolderName = 'yahooData/'\n", "dataSetId = 'testPairsTrading'\n", "instrumentIds = ['SPY','AAPL','ADBE','EBAY','MSFT','QCOM',\n", " 'HPQ','JNPR','AMD','IBM']\n", "ds = YahooStockDataSource(cachedFolderName=cachedFolderName,\n", " dataSetId=dataSetId,\n", " instrumentIds=instrumentIds,\n", " startDateStr=startDateStr,\n", " endDateStr=endDateStr,\n", " event='history')\n", "data = ds.getBookDataByFeature()['adjClose']" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/html": [ "
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2007-12-03114.78975722.17968642.68999913.59912224.79112629.25292215.02531726.9412569.6673.906471
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" ], "text/plain": [ " SPY AAPL ADBE EBAY MSFT QCOM \\\n", "2007-12-03 114.789757 22.179686 42.689999 13.599122 24.791126 29.252922 \n", "2007-12-04 113.763718 22.297489 43.320000 13.590866 24.678171 28.813696 \n", "2007-12-05 115.668106 23.003084 43.900002 13.764211 25.717409 29.658560 \n", "\n", " HPQ JNPR AMD IBM \n", "2007-12-03 15.025317 26.941256 9.66 73.906471 \n", "2007-12-04 15.105742 26.976734 9.25 74.465149 \n", "2007-12-05 15.388736 27.766254 8.91 75.533638 " ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data.head(3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lets run our method on the list and see if any pairs are cointegrated." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[('ADBE', 'MSFT')]\n" ] } ], "source": [ "# Heatmap to show the p-values of the cointegration test\n", "# between each pair of stocks\n", "\n", "scores, pvalues, pairs = find_cointegrated_pairs(data)\n", "import seaborn\n", "m = [0,0.2,0.4,0.6,0.8,1]\n", "seaborn.heatmap(pvalues, xticklabels=instrumentIds, \n", " yticklabels=instrumentIds, cmap='RdYlGn_r' \n", " , mask = (pvalues >= 0.98)\n", " )\n", "plt.show()\n", "print(pairs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looks like 'ADBE' and 'MSFT' are cointegrated. Let's take a look at the prices to make sure there's nothing weird going on" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.0017888010546204148\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "S1 = data['ADBE']\n", "S2 = data['MSFT']\n", "score, pvalue, _ = coint(S1, S2)\n", "print(pvalue)\n", "ratios = S1 / S2\n", "ratios.plot(figsize=(15,7))\n", "plt.axhline(ratios.mean())\n", "plt.legend(['Price Ratio'])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The ratio does look like it moved around a stable mean.The absolute ratio isn’t very useful in statistical terms. It is more helpful to normalize our signal by treating it as a z-score. Z score is defined as:\n", "\n", "Z Score (Value) = (Value — Mean) / Standard Deviation \n", "\n", "WARNING\n", "In practice this is usually done to try to give some scale to the data, but this assumes an underlying distribution. Usually normal. However, much financial data is not normally distributed, and we must be very careful not to simply assume normality, or any specific distribution when generating statistics. The true distribution of ratios could be very fat-tailed and prone to extreme values messing up our model and resulting in large losses." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "def zscore(series):\n", " return (series - series.mean()) / np.std(series)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "zscore(ratios).plot(figsize=(15,7))\n", "plt.axhline(zscore(ratios).mean(), color='black')\n", "plt.axhline(1.0, color='red', linestyle='--')\n", "plt.axhline(-1.0, color='green', linestyle='--')\n", "plt.legend(['Ratio z-score', 'Mean', '+1', '-1'])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Simple Strategy:\n", "* Go \"Long\" the ratio whenever the z-score is below -1.0\n", "* Go \"Short\" the ratio when the z-score is above 1.0\n", "* Exit positions when the z-score approaches zero\n", "\n", "This is just the tip of the iceberg, and only a very simplistic example to illustrate the concepts.\n", "* In practice you would want to compute a more optimal weighting for how many shares to hold for S1 and S2\n", "* You would also want to trade using constantly updating statistics. \n", "\n", "In general taking a statistic over your whole sample size can be bad. For example, if the market is moving up, and both securities with it, then your average price over the last 3 years may not be representative of today. For this reason traders often use statistics that rely on rolling windows of the most recent data.\n", "\n", "Instead of using ratio values, let's use 5d Moving Average to compute to z score, and the 60d Moving Average and 60d Standard Deviation as the mean and standard deviation.\n", "\n", "First break the data into training set of 7 years and test set of 3 years" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2518\n" ] } ], "source": [ "ratios = data['ADBE'] / data['MSFT']\n", "print(len(ratios))\n", "train = ratios[:1762]\n", "test = ratios[1762:]" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ratios_mavg5 = train.rolling(window=5,\n", " center=False).mean()\n", "\n", "ratios_mavg60 = train.rolling(window=60,\n", " center=False).mean()\n", "\n", "std_60 = train.rolling(window=60,\n", " center=False).std()\n", "\n", "zscore_60_5 = (ratios_mavg5 - ratios_mavg60)/std_60\n", "plt.figure(figsize=(15,7))\n", "plt.plot(train.index, train.values)\n", "plt.plot(ratios_mavg5.index, ratios_mavg5.values)\n", "plt.plot(ratios_mavg60.index, ratios_mavg60.values)\n", "\n", "plt.legend(['Ratio','5d Ratio MA', '60d Ratio MA'])\n", "\n", "plt.ylabel('Ratio')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can use the moving averages to compute the z-score of the ratio at each given time. This will tell us how extreme the ratio is and whether it's a good idea to enter a position at this time. Let's take a look at the z-score now.\n" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Take a rolling 60 day standard deviation\n", "std_60 = train.rolling(window=60,center=False).std()\n", "std_60.name = 'std 60d'\n", "\n", "# Compute the z score for each day\n", "zscore_60_5 = (ratios_mavg5 - ratios_mavg60)/std_60\n", "zscore_60_5.name = 'z-score'\n", "\n", "plt.figure(figsize=(15,7))\n", "zscore_60_5.plot()\n", "plt.axhline(0, color='black')\n", "plt.axhline(1.0, color='red', linestyle='--')\n", "plt.axhline(-1.0, color='green', linestyle='--')\n", "plt.legend(['Rolling Ratio z-Score', 'Mean', '+1', '-1'])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The z-score doesn't mean much out of context, let's plot it next to the prices to get an idea of what it looks like.\n" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Plot the ratios and buy and sell signals from z score\n", "plt.figure(figsize=(15,7))\n", "\n", "train[60:].plot()\n", "buy = train.copy()\n", "sell = train.copy()\n", "buy[zscore_60_5>-1] = 0\n", "sell[zscore_60_5<1] = 0\n", "buy[60:].plot(color='g', linestyle='None', marker='^')\n", "sell[60:].plot(color='r', linestyle='None', marker='^')\n", "x1,x2,y1,y2 = plt.axis()\n", "plt.axis((x1,x2,ratios.min(),ratios.max()))\n", "plt.legend(['Ratio', 'Buy Signal', 'Sell Signal'])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What does that mean for actual stocks that we are trading? Let’s take a look" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Plot the prices and buy and sell signals from z score\n", "plt.figure(figsize=(18,9))\n", "S1 = data['ADBE'].iloc[:1762]\n", "S2 = data['MSFT'].iloc[:1762]\n", "\n", "S1[60:].plot(color='b')\n", "S2[60:].plot(color='c')\n", "buyR = 0*S1.copy()\n", "sellR = 0*S1.copy()\n", "\n", "# When buying the ratio, buy S1 and sell S2\n", "buyR[buy!=0] = S1[buy!=0]\n", "sellR[buy!=0] = S2[buy!=0]\n", "# When selling the ratio, sell S1 and buy S2 \n", "buyR[sell!=0] = S2[sell!=0]\n", "sellR[sell!=0] = S1[sell!=0]\n", "\n", "buyR[60:].plot(color='g', linestyle='None', marker='^')\n", "sellR[60:].plot(color='r', linestyle='None', marker='^')\n", "x1,x2,y1,y2 = plt.axis()\n", "plt.axis((x1,x2,min(S1.min(),S2.min()),max(S1.max(),S2.max())))\n", "\n", "plt.legend(['ADBE','MSFT', 'Buy Signal', 'Sell Signal'])\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice how we sometimes make money on the short leg and sometimes on the long leg, and sometimes both.\n", "\n", "Let’s see what kind of profits this signal can generate. We write a simple backtester which buys 1 ratio (buy 1 ADBE stock and sell ratio x MSFT stock) when ratio is low, sell 1 ratio (sell 1 ADBE stock and buy ratio x MSFT stock) when it’s high and calculate PnL of these trades." ] }, { "cell_type": "code", "execution_count": 58, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "629.7085162722666" ] }, "execution_count": 58, "metadata": {}, "output_type": "execute_result" } ], "source": [ "def trade(S1, S2, window1, window2):\n", " # If window length is 0, algorithm doesn't make sense, so exit\n", " if (window1 == 0) or (window2 == 0):\n", " return 0\n", " # Compute rolling mean and rolling standard deviation\n", " ratios = S1/S2\n", " ma1 = ratios.rolling(window=window1,\n", " center=False).mean()\n", " ma2 = ratios.rolling(window=window2,\n", " center=False).mean()\n", " std = ratios.rolling(window=window2,\n", " center=False).std()\n", " zscore = (ma1 - ma2)/std\n", " # Simulate trading\n", " # Start with no money and no positions\n", " money = 0\n", " countS1 = 0\n", " countS2 = 0\n", " for i in range(len(ratios)):\n", " # Sell short if the z-score is > 1\n", " if zscore[i] > 1:\n", " money += S1[i] - S2[i] * ratios[i]\n", " countS1 -= 1\n", " countS2 += ratios[i]\n", " # Buy long if the z-score is < 1\n", " elif zscore[i] < -1:\n", " money -= S1[i] - S2[i] * ratios[i]\n", " countS1 += 1\n", " countS2 -= ratios[i]\n", " # Clear positions if the z-score between -.5 and .5\n", " elif abs(zscore[i]) < 0.5:\n", " money += countS1*S1[i] + S2[i] * countS2\n", " countS1 = 0\n", " countS2 = 0\n", "# print('Z-score: '+ str(zscore[i]), countS1, countS2, S1[i] , S2[i])\n", " return money\n", "\n", "\n", "trade(data['ADBE'].iloc[:1762], data['MSFT'].iloc[:1762], 5, 60)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The strategy seems profitable! Now we can optimize further by changing our moving average windows, by changing the thresholds for buy/sell and exit positions etc and check for performance improvements on validation data.\n", "We could also try more sophisticated models like Logistic Regression, SVM etc to make our 1/-1 predictions.\n", "\n", "Let's see how it does on test data" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1177.3686879906131" ] }, "execution_count": 59, "metadata": {}, "output_type": "execute_result" } ], "source": [ "trade(data['ADBE'].iloc[1762:], data['MSFT'].iloc[1762:], 5, 90)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Profits again!\n", "\n", "### Avoid Overfitting\n", "\n", "Overfitting is the most dangerous pitfall of a trading strategy. In our model, we used rolling parameter estimates and may wish to optimize window length. We can simply iterate over all possible, reasonable window lengths and pick the length based on which our model performs the best . Below we write a simple loop to score window lengths based on pnl of training data and find the best one." ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Best window length: 246\n" ] } ], "source": [ "# Find the window length 0-254 \n", "# that gives the highest returns using this strategy\n", "length_scores = [trade(data['ADBE'].iloc[:1762], \n", " data['MSFT'].iloc[:1762], 5, l) \n", " for l in range(255)]\n", "best_length = np.argmax(length_scores)\n", "print ('Best window length:', best_length)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we check the performance of our model on test data and we find that this window length is far from optimal! This is because our original choice was clearly overfitted to the sample data." ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "246 day window: 987.0064133650166\n", "191 day window: 1572.1954993100194\n" ] } ], "source": [ "# Find the returns for test data\n", "# using what we think is the best window length\n", "length_scores2 = [trade(data['ADBE'].iloc[1762:], \n", " data['MSFT'].iloc[1762:],5, l) \n", " for l in range(255)]\n", "print (best_length, 'day window:', length_scores2[best_length])\n", "\n", "# Find the best window length based on this dataset, \n", "# and the returns using this window length\n", "best_length2 = np.argmax(length_scores2)\n", "print (best_length2, 'day window:', length_scores2[best_length2])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see this if we also plot Pnl by window length separately for traning and test data" ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(15,7))\n", "plt.plot(length_scores)\n", "plt.plot(length_scores2)\n", "plt.xlabel('Window length')\n", "plt.ylabel('Score')\n", "plt.legend(['Training', 'Test'])\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 4 }