ml-finance-python

python scripts for finance machine learning

git clone https://9o.is/git/ml-finance-python.git

Mean reversion.ipynb

(464106B)


      1 {
      2  "cells": [
      3   {
      4    "cell_type": "markdown",
      5    "metadata": {},
      6    "source": [
      7     "# Mean reversion\n",
      8     "By Evgenia \"Jenny\" Nitishinskaya and Delaney Granizo-Mackenzie\n",
      9     "\n",
     10     "Notebook released under the Creative Commons Attribution 4.0 License.\n",
     11     "\n",
     12     "---\n",
     13     "\n",
     14     "Mean-reversion strategies are those relying on the assumption that a variable deviating far from its observed mean will tend to reverse direction and revert to the mean. We expect it to go down if it is unusually high, and go up if it is unusually low. Why would this be the case? One explanation is that the deviations we are observing are random fluctuations, which are 0 in expectation. In this notebook, we will just focus on how to build strategies that take advantage of mean reversion when it is observed."
     15    ]
     16   },
     17   {
     18    "cell_type": "markdown",
     19    "metadata": {},
     20    "source": [
     21     "# Single-stock mean reversion\n",
     22     "\n",
     23     "Mean reversion in the context of a stock price implies that periods of the price being far below the mean are followed by periods of the price going up, and vice versa. We can take advantage of this by buying long when the price is lower than expected, and selling short when the price is higher than expected. We can plot the price of a stock along with the mean of the prices up to each day to see whether the price reverts to the mean."
     24    ]
     25   },
     26   {
     27    "cell_type": "code",
     28    "execution_count": 398,
     29    "metadata": {
     30     "collapsed": false
     31    },
     32    "outputs": [
     33     {
     34      "data": {
     35       "image/png": 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H7OvNr/dBFCX0awYbElLNWHBT57Si3m3DZCiuVp+wsrR8c6/KRXveNJXMjbaU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\nqiMDUgAAAABJRU5ErkJggg==\n",
     36       "text/plain": [
     37        "<matplotlib.figure.Figure at 0x7f263e64d110>"
     38       ]
     39      },
     40      "metadata": {},
     41      "output_type": "display_data"
     42     }
     43    ],
     44    "source": [
     45     "import numpy as np\n",
     46     "import matplotlib.pyplot as plt\n",
     47     "import pandas as pd\n",
     48     "\n",
     49     "# Load the pricing data for a stock\n",
     50     "start = '2012-01-01'\n",
     51     "end = '2015-01-01'\n",
     52     "pricing = get_pricing('MCD', fields='price', start_date=start, end_date=end)\n",
     53     "\n",
     54     "# Compute the cumulative moving average of the price\n",
     55     "mu = [pricing[:i].mean() for i in range(len(pricing))]\n",
     56     "\n",
     57     "# Plot the price and the moving average\n",
     58     "_, ax = plt.subplots()\n",
     59     "ax.plot(pricing)\n",
     60     "ticks = ax.get_xticks()\n",
     61     "ax.set_xticklabels([pricing.index[i].date() for i in ticks[:-1]]) # Label x-axis with dates\n",
     62     "ax.plot(mu);"
     63    ]
     64   },
     65   {
     66    "cell_type": "markdown",
     67    "metadata": {},
     68    "source": [
     69     "Note that since we are computing the running average, \"reverting to the mean\" does not necessarily mean going as high or as low as it did before.\n",
     70     "\n",
     71     "In order to trade using this strategy, we need to quantify what it means for the price to be higher or lower than expected. It's useful to compute the z-score of the price on each day, which tells us how many standard deviations away from the mean a value is:\n",
     72     "$$ z = \\frac{x - \\mu}{\\sigma} $$\n",
     73     "\n",
     74     "where $x$ is the value, $\\mu$ is the mean of the data set, and $\\sigma$ is its standard deviation. So a price with a z-score $> 1$ is more than one standard deviation above the mean, and we will sell short when this happens. If the price on a day has a z-score $< 1$, we will buy long. If the price is within half a standard deviation of the mean, we will clear all positions."
     75    ]
     76   },
     77   {
     78    "cell_type": "code",
     79    "execution_count": 395,
     80    "metadata": {
     81     "collapsed": false
     82    },
     83    "outputs": [
     84     {
     85      "name": "stdout",
     86      "output_type": "stream",
     87      "text": [
     88       "890.8614\n"
     89      ]
     90     }
     91    ],
     92    "source": [
     93     "# Compute the z-scores for each day using the historical data up to that day\n",
     94     "zscores = [(pricing[i] - mu[i]) / np.std(pricing[:i]) for i in range(len(pricing))]\n",
     95     "\n",
     96     "# Start with no money and no positions\n",
     97     "money = 0\n",
     98     "count = 0\n",
     99     "for i in range(len(pricing)):\n",
    100     "    # Sell short if the z-score is > 1\n",
    101     "    if zscores[i] > 1:\n",
    102     "        money += pricing[i]\n",
    103     "        count -= 1\n",
    104     "    # Buy long if the z-score is < 1\n",
    105     "    elif zscores[i] < -1:\n",
    106     "        money -= pricing[i]\n",
    107     "        count += 1\n",
    108     "    # Clear positions if the z-score between -.5 and .5\n",
    109     "    elif abs(zscores[i]) < 0.5:\n",
    110     "        money += count*pricing[i]\n",
    111     "        count = 0\n",
    112     "print money"
    113    ]
    114   },
    115   {
    116    "cell_type": "markdown",
    117    "metadata": {},
    118    "source": [
    119     "The danger of applying mean reversion to a single stock is that it exposes us to the movement of the market and the success or failure of the individual company, among other factors. If there is a persistent trend affecting the price of the security, we will find ourselves consitently undervaluing (if the price is moving steadily upward) or overvaluing (if the price is falling) the asset. Below we discuss two strategies that mitigate this risk."
    120    ]
    121   },
    122   {
    123    "cell_type": "markdown",
    124    "metadata": {},
    125    "source": [
    126     "# Mean reversion portfolio\n",
    127     "\n",
    128     "Instead of taking the mean of the historical returns on an asset, we can look at the mean of the returns on all of the stocks in, say, the S&P 500. Hypothesizing that the worst-performing stocks last period will do better this period (that is, they are likely to be undervalued) and vice versa, we go long in stocks that performed poorly and short in stocks that performed well.\n",
    129     "\n",
    130     "This approach has the advantage of being market-neutral, so that we do not treat stocks as undervalued just because the market as a whole is falling, or overvalued when the market is rising. Furthermore, by including a large number of securities in portfolio, we are likely to encounter many cases where our prediction is correct.\n",
    131     "\n",
    132     "To construct a portfolio which takes advantage of mean reversion, we first select a universe, such as all S&P 500 stocks or the top-traded stocks on the NYSE. From this universe, we rebalance our portfolio every period (say, every week) by going short in the stocks in the bottom 20% of returns over the last period and long in the stocks in the top 20% of returns. If a stock is in neither of those quintiles, we do not include it in our portfolio.\n",
    133     "\n",
    134     "We can construct a toy example using sector ETFs instead of a large basket of stocks:"
    135    ]
    136   },
    137   {
    138    "cell_type": "code",
    139    "execution_count": 306,
    140    "metadata": {
    141     "collapsed": false
    142    },
    143    "outputs": [
    144     {
    145      "data": {
    146       "image/png": 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ZDf2LL76gb9++FBcX4+Xl1ebxDelVFRUVvPTSS4wbN67FlC57e3ssFgt1dXU4ODjY1BcJ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OjLwcrlcqHRaCLvfKNwhOPtTN6yAwwZaLLSAHCWy9c0JiYGQRCw2+V6vl9kZjIqeN17ssuN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\n",
    147       "text/plain": [
    148        "<matplotlib.figure.Figure at 0x7f2644842150>"
    149       ]
    150      },
    151      "metadata": {},
    152      "output_type": "display_data"
    153     }
    154    ],
    155    "source": [
    156     "# Fetch pricing data for 10 sector ETFs and plot their returns\n",
    157     "assets = ['XLU', 'XLB', 'XLI', 'XLV', 'XLF', 'XLE', 'XLK', 'XLY', 'XLP', 'XBI']\n",
    158     "data = get_pricing(assets, start_date='2015-01-01', end_date='2015-02-06').loc['price', :, :]\n",
    159     "returns = data.pct_change()[1:]\n",
    160     "returns.plot(figsize=(10,7), colors=['r', 'g', 'b', 'k', 'c', 'm', 'orange',\n",
    161     "                                     'chartreuse', 'slateblue', 'silver'])\n",
    162     "plt.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)\n",
    163     "plt.ylabel('Returns')\n",
    164     "\n",
    165     "# Convert to numpy array to make manipulation easier\n",
    166     "data = np.array(data);"
    167    ]
    168   },
    169   {
    170    "cell_type": "markdown",
    171    "metadata": {},
    172    "source": [
    173     "We hypothesize that the stocks which do well for the first week will regress after another month, while those which do poorly at first will appreciate in value."
    174    ]
    175   },
    176   {
    177    "cell_type": "code",
    178    "execution_count": 307,
    179    "metadata": {
    180     "collapsed": false
    181    },
    182    "outputs": [
    183     {
    184      "data": {
    185       "image/png": 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B4IMR8cnMvKSGcw+PPwSAWVWdcHBwsKqPUgt7Wx97W86RR/46xx77Kb73vYsA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\nJEmqxIAlSZIkSZV8AFtwMZYI6hwKAAAAAElFTkSuQmCC\n",
    186       "text/plain": [
    187        "<matplotlib.figure.Figure at 0x7f26448179d0>"
    188       ]
    189      },
    190      "metadata": {},
    191      "output_type": "display_data"
    192     }
    193    ],
    194    "source": [
    195     "# For each security, take the return for the first week\n",
    196     "wreturns = (data[4] - data[0])/data[0]\n",
    197     "# Rank securities by return, with 0 being the lowest return\n",
    198     "order = wreturns.argsort()\n",
    199     "ranks = order.argsort()\n",
    200     "\n",
    201     "# For each security, take the return for the month following the first week\n",
    202     "# Normalization for the time period doesn't matter since we're only using the returns to rank them\n",
    203     "mreturns = (data[-1] - data[5])/data[5]\n",
    204     "order2 = mreturns.argsort()\n",
    205     "ranks2 = order2.argsort()\n",
    206     "\n",
    207     "# Plot the returns for the first week vs returns for the next month to visualize them\n",
    208     "plt.scatter(wreturns, mreturns)\n",
    209     "plt.xlabel('Returns for the first week')\n",
    210     "plt.ylabel('Returns for the following month');"
    211    ]
    212   },
    213   {
    214    "cell_type": "markdown",
    215    "metadata": {},
    216    "source": [
    217     "The returns look like they could be anticorrelated, but what would have happened if we had followed the mean-reversion strategy when we examined the past week's returns?"
    218    ]
    219   },
    220   {
    221    "cell_type": "code",
    222    "execution_count": 314,
    223    "metadata": {
    224     "collapsed": false
    225    },
    226    "outputs": [
    227     {
    228      "name": "stdout",
    229      "output_type": "stream",
    230      "text": [
    231       "Going long in: ['XLF', 'XLE']\n",
    232       "Going short in: ['XLV', 'XBI']\n",
    233       "Yield: 4.365\n"
    234      ]
    235     }
    236    ],
    237    "source": [
    238     "# Go long (by one share each) in the bottom 20% of securities and short in the top 20%\n",
    239     "longs = np.array([int(x < 2)for x in ranks])\n",
    240     "shorts = np.array([int(x > 7) for x in ranks])\n",
    241     "print 'Going long in:', [assets[i] for i in range(len(assets)) if longs[i]]\n",
    242     "print 'Going short in:', [assets[i] for i in range(len(assets)) if shorts[i]]\n",
    243     "\n",
    244     "# Resolve all positions and calculate how much we would have earned\n",
    245     "print 'Yield:', sum((data[-1] - data[4])*(longs - shorts))"
    246    ]
    247   },
    248   {
    249    "cell_type": "markdown",
    250    "metadata": {},
    251    "source": [
    252     "An example trading algorithm implementing this strategy in detail can be found in the associated lecture materials."
    253    ]
    254   },
    255   {
    256    "cell_type": "markdown",
    257    "metadata": {},
    258    "source": [
    259     "# Pairs trading\n",
    260     "\n",
    261     "In pairs trading, the quantity we are examining is the distance between two securities, which we expect to revert back to its mean. For this to be a reasonable assumption, we need the two securities to be statistically <i>cointegrated</i>. In practice, two companies whose products are substitutes for each other are often cointegrated. That is, they generally move together due to shifts in the market and in their specific industry, and move little relative to each other.\n",
    262     "\n",
    263     "How do we incorporate the prediction about their difference into our portfolio? Suppose we are looking at two securities X and Y. Then we go long in X and short in Y when the two are closer together than expected, and short in X and long in Y when the two are far apart. In this way we remain neutral to the market, industry, and other shifts that cause X and Y to move together, while making money on their difference reverting to the mean. We can quantify \"closer than expected\" as the difference having a z-score of less than -1, and \"farther apart than expected\" as a z-score greater than 1. This is easier to picture if X's price is higher than Y's, but the end result is the same in either case.\n",
    264     "\n",
    265     "Using the `coint` function from `statsmodels`, let's check whether HP and Microsoft stock prices are cointegrated."
    266    ]
    267   },
    268   {
    269    "cell_type": "code",
    270    "execution_count": 409,
    271    "metadata": {
    272     "collapsed": false
    273    },
    274    "outputs": [
    275     {
    276      "name": "stdout",
    277      "output_type": "stream",
    278      "text": [
    279       "0.0135109563652\n"
    280      ]
    281     }
    282    ],
    283    "source": [
    284     "from statsmodels.tsa.stattools import coint\n",
    285     "\n",
    286     "# Load pricing data for HP and Microsoft\n",
    287     "X = get_pricing('MSFT', fields='price', start_date=start, end_date=end)\n",
    288     "Y = get_pricing('HPQ', fields='price', start_date=start, end_date=end)\n",
    289     "\n",
    290     "# Compute the p-value for the cointegration of the two series\n",
    291     "_, pvalue, _ = coint(X,Y)\n",
    292     "print pvalue"
    293    ]
    294   },
    295   {
    296    "cell_type": "markdown",
    297    "metadata": {},
    298    "source": [
    299     "The p-value is low, so the two series are cointegrated. Next we need to find the mean of the difference. We'll compute the cumulative moving average - that is, the average of all the values up to each day - as though we were looking at the data every day without knowing the future."
    300    ]
    301   },
    302   {
    303    "cell_type": "code",
    304    "execution_count": 408,
    305    "metadata": {
    306     "collapsed": false
    307    },
    308    "outputs": [
    309     {
    310      "data": {
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RBgIuxPR0MbutNz5K5lI0l9OOW6/eCgA4NaPFDxeXohXcN+Ayfi5udie1sxJJ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\nAABJRU5ErkJggg==\n",
    312       "text/plain": [
    313        "<matplotlib.figure.Figure at 0x7f263e451790>"
    314       ]
    315      },
    316      "metadata": {},
    317      "output_type": "display_data"
    318     }
    319    ],
    320    "source": [
    321     "# Plot their difference and the cumulative moving average of their difference\n",
    322     "diff = X - Y\n",
    323     "mu = [diff[:i].mean() for i in range(len(diff))]\n",
    324     "plt.plot(diff)\n",
    325     "plt.plot(mu);"
    326    ]
    327   },
    328   {
    329    "cell_type": "markdown",
    330    "metadata": {},
    331    "source": [
    332     "In some cases, we may instead want our mean to refer only to the moving average, excluding data from too long ago. Below we can see the difference between the cumulative moving average and the 60-day running average."
    333    ]
    334   },
    335   {
    336    "cell_type": "code",
    337    "execution_count": 407,
    338    "metadata": {
    339     "collapsed": false
    340    },
    341    "outputs": [
    342     {
    343      "data": {
    344       "image/png": 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RDGx8fiGpMjRAlrEZYWATj/1kK3Y/+BCm9B1Fp64Cs3/+U8x87GEUnTYjI9kT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wOvRsfLjUUU2ywYtTpsxkKKjDaKDIWUmIqCrnsFZRQZrBmdPHr7+ujf/Bb+oSEG392Cu6MzJKf7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\nAAAASUVORK5CYII=\n",
    345       "text/plain": [
    346        "<matplotlib.figure.Figure at 0x7f263df6b850>"
    347       ]
    348      },
    349      "metadata": {},
    350      "output_type": "display_data"
    351     }
    352    ],
    353    "source": [
    354     "mu_60d = pd.rolling_mean(diff, window=90)\n",
    355     "\n",
    356     "plt.plot(diff, label='X-Y')\n",
    357     "plt.plot(mu, label='CMA')\n",
    358     "plt.plot(mu_60d, label='60d MA')\n",
    359     "plt.legend();"
    360    ]
    361   },
    362   {
    363    "cell_type": "markdown",
    364    "metadata": {},
    365    "source": [
    366     "From here our trading strategy is identical to that for a single security, where we replace the asset with the spread X-Y. When we short the spread, we buy Y and sell X, and vice versa for going long. We'll be using the CMA for the mean, but you can easily change it to see the difference. Keep in mind, however, that what works well with this data may not be suited for other situations, and each definition of the mean will sometimes outperform the other."
    367    ]
    368   },
    369   {
    370    "cell_type": "code",
    371    "execution_count": 400,
    372    "metadata": {
    373     "collapsed": false,
    374     "scrolled": true
    375    },
    376    "outputs": [
    377     {
    378      "name": "stdout",
    379      "output_type": "stream",
    380      "text": [
    381       "287.0172\n"
    382      ]
    383     }
    384    ],
    385    "source": [
    386     "# Compute the z-score of the difference on each day\n",
    387     "zscores = [(diff[i] - mu[i]) / np.std(diff[:i]) for i in range(len(diff))]\n",
    388     "\n",
    389     "# Start with no money and no positions\n",
    390     "money = 0\n",
    391     "count = 0\n",
    392     "for i in range(len(diff)):\n",
    393     "    # Sell short if the z-score is > 1\n",
    394     "    if zscores[i] > 1:\n",
    395     "        money += diff[i]\n",
    396     "        count -= 1\n",
    397     "    # Buy long if the z-score is < 1\n",
    398     "    elif zscores[i] < -1:\n",
    399     "        money -= diff[i]\n",
    400     "        count += 1\n",
    401     "    # Clear positions if the z-score between -.5 and .5\n",
    402     "    elif abs(zscores[i]) < 0.5:\n",
    403     "        money += count*diff[i]\n",
    404     "        count = 0\n",
    405     "        \n",
    406     "print money"
    407    ]
    408   },
    409   {
    410    "cell_type": "markdown",
    411    "metadata": {},
    412    "source": [
    413     "For more details on this strategy, see the notebook and discussion [here](https://www.quantopian.com/posts/how-to-build-a-pairs-trading-strategy-on-quantopian)."
    414    ]
    415   },
    416   {
    417    "cell_type": "markdown",
    418    "metadata": {},
    419    "source": [
    420     "# Alternative approaches\n",
    421     "\n",
    422     "Mean-reversion strategies assume that trends tend to reverse direction. On the opposite end of the spectrum are trend-following or momentum-based strategies. These hypothesize that prices will, despite fluctuations, generally move in the direction they were moving in before. They can also take into account how quickly a price is moving, and anticipate changes in the direction of movement when it slows down. These are covered in more detail in another notebook."
    423    ]
    424   }
    425  ],
    426  "metadata": {
    427   "kernelspec": {
    428    "display_name": "Python 2",
    429    "language": "python",
    430    "name": "python2"
    431   },
    432   "language_info": {
    433    "codemirror_mode": {
    434     "name": "ipython",
    435     "version": 2
    436    },
    437    "file_extension": ".py",
    438    "mimetype": "text/x-python",
    439    "name": "python",
    440    "nbconvert_exporter": "python",
    441    "pygments_lexer": "ipython2",
    442    "version": "2.7.6"
    443   }
    444  },
    445  "nbformat": 4,
    446  "nbformat_minor": 0
    447 }