ml-finance-python

python scripts for finance machine learning

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

LECTURE_Stanford_Researching_Cointegrated_Sto.ipynb

(690166B)


      1 {
      2  "cells": [
      3   {
      4    "cell_type": "markdown",
      5    "metadata": {},
      6    "source": [
      7     "# Researching a Pairs Trading Strategy\n",
      8     "By Delaney Granizo-Mackenzie\n",
      9     "\n",
     10     "Notebook released under the Creative Commons Attribution 4.0 License.\n",
     11     "\n",
     12     "---\n",
     13     "Pairs trading is a nice example of a strategy based on mathematical analysis. The principle is as follows. 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, or two companies in one supply chain. We'll start by constructing an artificial example."
     14    ]
     15   },
     16   {
     17    "cell_type": "code",
     18    "execution_count": 302,
     19    "metadata": {
     20     "collapsed": false
     21    },
     22    "outputs": [],
     23    "source": [
     24     "import numpy as np\n",
     25     "import pandas as pd\n",
     26     "\n",
     27     "import statsmodels\n",
     28     "from statsmodels.tsa.stattools import coint\n",
     29     "# just set the seed for the random number generator\n",
     30     "np.random.seed(107)\n",
     31     "\n",
     32     "import matplotlib.pyplot as plt"
     33    ]
     34   },
     35   {
     36    "cell_type": "markdown",
     37    "metadata": {},
     38    "source": [
     39     "## Explaining the Concept: We start by generating two fake securities.\n",
     40     "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."
     41    ]
     42   },
     43   {
     44    "cell_type": "code",
     45    "execution_count": 303,
     46    "metadata": {
     47     "collapsed": false
     48    },
     49    "outputs": [
     50     {
     51      "data": {
     52       "text/plain": [
     53        "<matplotlib.axes._subplots.AxesSubplot at 0x7f373a736850>"
     54       ]
     55      },
     56      "execution_count": 303,
     57      "metadata": {},
     58      "output_type": "execute_result"
     59     },
     60     {
     61      "data": {
     62       "image/png": 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GIO8OY5lYgFGSTnZ6PEfPdTDtDn4YSWCiWOWG4EchB5TkqUFfRERWH8smLjBTLjY17aW9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\neEpcREREREQk4v3/lp6Cfo8ospoAAAAASUVORK5CYII=\n",
     63       "text/plain": [
     64        "<matplotlib.figure.Figure at 0x7f373a7ecb50>"
     65       ]
     66      },
     67      "metadata": {},
     68      "output_type": "display_data"
     69     }
     70    ],
     71    "source": [
     72     "X_returns = np.random.normal(0, 1, 100) # Generate the daily returns\n",
     73     "# sum them and shift all the prices up into a reasonable range\n",
     74     "X = pd.Series(np.cumsum(X_returns), name='X') + 50\n",
     75     "X.plot()"
     76    ]
     77   },
     78   {
     79    "cell_type": "markdown",
     80    "metadata": {},
     81    "source": [
     82     "Now we generate Y. Remember that 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."
     83    ]
     84   },
     85   {
     86    "cell_type": "code",
     87    "execution_count": 304,
     88    "metadata": {
     89     "collapsed": false
     90    },
     91    "outputs": [
     92     {
     93      "data": {
     94       "text/plain": [
     95        "<matplotlib.axes._subplots.AxesSubplot at 0x7f373a7211d0>"
     96       ]
     97      },
     98      "execution_count": 304,
     99      "metadata": {},
    100      "output_type": "execute_result"
    101     },
    102     {
    103      "data": {
    104       "image/png": 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U7x59LDEmAXt6MVfaq+kZ7pvy/ECa2HT1LQGrM0swYeJiy+wDlyH3ED86+0uiLVbeufFN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\nrVK4YWM89+1NY8gwykOPHKG0Vc0DH1jYL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ieTlWQvTnJc9BwzNOgTl+mf+WeSnJ/k2Une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\nAIye4AIAAIzefwC+cZ/8qoI7agAAAABJRU5ErkJggg==\n",
    105       "text/plain": [
    106        "<matplotlib.figure.Figure at 0x7f373a740090>"
    107       ]
    108      },
    109      "metadata": {},
    110      "output_type": "display_data"
    111     }
    112    ],
    113    "source": [
    114     "some_noise = np.random.normal(0, 1, 100)\n",
    115     "Y = X + 5 + some_noise\n",
    116     "Y.name = 'Y'\n",
    117     "pd.concat([X, Y], axis=1).plot()"
    118    ]
    119   },
    120   {
    121    "cell_type": "markdown",
    122    "metadata": {},
    123    "source": [
    124     "## Def: Cointegration\n",
    125     "\n",
    126     "We've constructed an example of two cointegrated series. Cointegration is a \"different\" form of correlation (very loosely speaking). The spread between two cointegrated timeseries will vary around a mean. The expected value of the spread over time must converge to the mean for pairs trading work work. Another way to think about this is that cointegrated timeseries might not necessarily follow a similar path to a same destination, but they both end up at this destination.\n",
    127     "\n",
    128     "We'll plot the spread between the two now so we can see how this looks."
    129    ]
    130   },
    131   {
    132    "cell_type": "code",
    133    "execution_count": 305,
    134    "metadata": {
    135     "collapsed": false
    136    },
    137    "outputs": [
    138     {
    139      "data": {
    140       "text/plain": [
    141        "<matplotlib.lines.Line2D at 0x7f373a7b0390>"
    142       ]
    143      },
    144      "execution_count": 305,
    145      "metadata": {},
    146      "output_type": "execute_result"
    147     },
    148     {
    149      "data": {
    150       "image/png": 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I27ahNXt0TgrzGycszPDdMcKClYVs5J2TQQMYBeMqTkzLRq3RdGfeZGTHd0tZ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\n",
    151       "text/plain": [
    152        "<matplotlib.figure.Figure at 0x7f373a6ddb90>"
    153       ]
    154      },
    155      "metadata": {},
    156      "output_type": "display_data"
    157     }
    158    ],
    159    "source": [
    160     "(Y-X).plot() # Plot the spread\n",
    161     "plt.axhline((Y-X).mean(), color='red', linestyle='--') # Add the mean"
    162    ]
    163   },
    164   {
    165    "cell_type": "markdown",
    166    "metadata": {},
    167    "source": [
    168     "##Testing for Cointegration\n",
    169     "\n",
    170     "That's an intuitive definition, but how do we test for this statisitcally? There is a convenient test that lives in `statsmodels.tsa.stattools`. We should see a very low p-value, as we've artifically created two series that are as cointegrated as physically possible."
    171    ]
    172   },
    173   {
    174    "cell_type": "code",
    175    "execution_count": 306,
    176    "metadata": {
    177     "collapsed": false
    178    },
    179    "outputs": [
    180     {
    181      "name": "stdout",
    182      "output_type": "stream",
    183      "text": [
    184       "2.75767345363e-16\n"
    185      ]
    186     }
    187    ],
    188    "source": [
    189     "# compute the p-value of the cointegration test\n",
    190     "# will inform us as to whether the spread btwn the 2 timeseries is stationary\n",
    191     "# around its mean\n",
    192     "score, pvalue, _ = coint(X,Y)\n",
    193     "print pvalue"
    194    ]
    195   },
    196   {
    197    "cell_type": "markdown",
    198    "metadata": {},
    199    "source": [
    200     "### Correlation vs. Cointegration\n",
    201     "\n",
    202     "Correlation and cointegration, while theoretically similar, are not the same. To demonstrate this, we'll show examples of series that are correlated, but not cointegrated, and vice versa. To start let's check the correlation of the series we just generated."
    203    ]
    204   },
    205   {
    206    "cell_type": "code",
    207    "execution_count": 307,
    208    "metadata": {
    209     "collapsed": false
    210    },
    211    "outputs": [
    212     {
    213      "data": {
    214       "text/plain": [
    215        "0.94970906463859317"
    216       ]
    217      },
    218      "execution_count": 307,
    219      "metadata": {},
    220      "output_type": "execute_result"
    221     }
    222    ],
    223    "source": [
    224     "X.corr(Y)"
    225    ]
    226   },
    227   {
    228    "cell_type": "markdown",
    229    "metadata": {},
    230    "source": [
    231     "That's very high, as we would expect. But how would two series that are correlated but not cointegrated look? \n",
    232     "\n",
    233     "###Correlation Without Cointegration\n",
    234     "\n",
    235     "A simple example is two series that just diverge."
    236    ]
    237   },
    238   {
    239    "cell_type": "code",
    240    "execution_count": 308,
    241    "metadata": {
    242     "collapsed": false
    243    },
    244    "outputs": [
    245     {
    246      "data": {
    247       "text/plain": [
    248        "<matplotlib.axes._subplots.AxesSubplot at 0x7f373a5ba3d0>"
    249       ]
    250      },
    251      "execution_count": 308,
    252      "metadata": {},
    253      "output_type": "execute_result"
    254     },
    255     {
    256      "data": {
    257       "image/png": 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AFr1R75hOtZzTscbTutJVLUnKjs3Qo8Z92pm/WRFcKzOvUWoAAACwKHkDPlW0XdK7jWdU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\nTaFGRERERERimkKNiIiIiIjEtP8PR+NJSH157t0AAAAASUVORK5CYII=\n",
    258       "text/plain": [
    259        "<matplotlib.figure.Figure at 0x7f373a4f3c10>"
    260       ]
    261      },
    262      "metadata": {},
    263      "output_type": "display_data"
    264     }
    265    ],
    266    "source": [
    267     "X_returns = np.random.normal(1, 1, 100)\n",
    268     "Y_returns = np.random.normal(2, 1, 100)\n",
    269     "\n",
    270     "X_diverging = pd.Series(np.cumsum(X_returns), name='X')\n",
    271     "Y_diverging = pd.Series(np.cumsum(Y_returns), name='Y')\n",
    272     "\n",
    273     "pd.concat([X_diverging, Y_diverging], axis=1).plot()"
    274    ]
    275   },
    276   {
    277    "cell_type": "code",
    278    "execution_count": 309,
    279    "metadata": {
    280     "collapsed": false
    281    },
    282    "outputs": [
    283     {
    284      "name": "stdout",
    285      "output_type": "stream",
    286      "text": [
    287       "Correlation: 0.993134380128\n",
    288       "Cointegration test p-value: 0.884633444839\n"
    289      ]
    290     }
    291    ],
    292    "source": [
    293     "print 'Correlation: ' + str(X_diverging.corr(Y_diverging))\n",
    294     "score, pvalue, _ = coint(X_diverging,Y_diverging)\n",
    295     "print 'Cointegration test p-value: ' + str(pvalue)"
    296    ]
    297   },
    298   {
    299    "cell_type": "markdown",
    300    "metadata": {},
    301    "source": [
    302     "###Cointegration Without Correlation\n",
    303     "\n",
    304     "A simple example of this case is a normally distributed series and a square wave."
    305    ]
    306   },
    307   {
    308    "cell_type": "code",
    309    "execution_count": 310,
    310    "metadata": {
    311     "collapsed": false
    312    },
    313    "outputs": [],
    314    "source": [
    315     "Y2 = pd.Series(np.random.normal(0, 1, 1000), name='Y2') + 20\n",
    316     "Y3 = Y2.copy()"
    317    ]
    318   },
    319   {
    320    "cell_type": "code",
    321    "execution_count": 311,
    322    "metadata": {
    323     "collapsed": true
    324    },
    325    "outputs": [],
    326    "source": [
    327     "# Y2 = Y2 + 10\n",
    328     "Y3[0:100] = 30\n",
    329     "Y3[100:200] = 10\n",
    330     "Y3[200:300] = 30\n",
    331     "Y3[300:400] = 10\n",
    332     "Y3[400:500] = 30\n",
    333     "Y3[500:600] = 10\n",
    334     "Y3[600:700] = 30\n",
    335     "Y3[700:800] = 10\n",
    336     "Y3[800:900] = 30\n",
    337     "Y3[900:1000] = 10"
    338    ]
    339   },
    340   {
    341    "cell_type": "code",
    342    "execution_count": 312,
    343    "metadata": {
    344     "collapsed": false
    345    },
    346    "outputs": [
    347     {
    348      "data": {
    349       "text/plain": [
    350        "(0, 40)"
    351       ]
    352      },
    353      "execution_count": 312,
    354      "metadata": {},
    355      "output_type": "execute_result"
    356     },
    357     {
    358      "data": {
    359       "image/png": 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YRgvmGpdwPFPPJKENXL5y62qlswGE5VvbcN1PVuLt+o4JvKqJ991fb8RXb19b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WrGpUYPazXeH0HTNGxf0+/YIKJSg70AgFzhbWuoS+H+m9egx2NX2Jsv9M9c6OtqRF9XZUfk3Tuo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\n",
    360       "text/plain": [
    361        "<matplotlib.figure.Figure at 0x7f373bddb5d0>"
    362       ]
    363      },
    364      "metadata": {},
    365      "output_type": "display_data"
    366     }
    367    ],
    368    "source": [
    369     "Y2.plot()\n",
    370     "Y3.plot()\n",
    371     "plt.ylim([0, 40])"
    372    ]
    373   },
    374   {
    375    "cell_type": "code",
    376    "execution_count": 313,
    377    "metadata": {
    378     "collapsed": false
    379    },
    380    "outputs": [
    381     {
    382      "name": "stdout",
    383      "output_type": "stream",
    384      "text": [
    385       "Correlation: -0.0413040695809\n",
    386       "Cointegration test p-value: 0.0\n"
    387      ]
    388     }
    389    ],
    390    "source": [
    391     "# correlation is nearly zero\n",
    392     "print 'Correlation: ' + str(Y2.corr(Y3))\n",
    393     "score, pvalue, _ = coint(Y2,Y3)\n",
    394     "print 'Cointegration test p-value: ' + str(pvalue)"
    395    ]
    396   },
    397   {
    398    "cell_type": "markdown",
    399    "metadata": {},
    400    "source": [
    401     "Sure enough, the correlation is incredibly low, but the p-value shows perfect cointegration."
    402    ]
    403   },
    404   {
    405    "cell_type": "markdown",
    406    "metadata": {},
    407    "source": [
    408     "## Def: Hedged Position\n",
    409     "Because you'd like to protect yourself from bad markets, often times short sales will be used to hedge long investments. Because a short sale makes money if the security sold loses value, and a long purchase will make money if a security gains value, one can long parts of the market and short others. That way if the entire market falls off a cliff, we'll still make money on the shorted securities and hopefully break even. In the case of two securities we'll call it a hedged position when we are long on one security and short on the other.\n",
    410     "\n",
    411     "##The Trick: Where it all comes together\n",
    412     "Because the securities drift towards and apart from each other, there will be times when the distance is high and times when the distance is low. The trick of pairs trading comes from maintaining a hedged position across X and Y. If both securities go down, we neither make nor lose money, and likewise if both go up. We make money on the difference of the two reverting to the mean. In order to do this we'll watch for when X and Y are far apart, then short Y and long X. Similarly we'll watch for when they're close together, and long Y and short X.\n",
    413     "\n",
    414     "##Finding real securities that behave like this\n",
    415     "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."
    416    ]
    417   },
    418   {
    419    "cell_type": "markdown",
    420    "metadata": {},
    421    "source": [
    422     "Here's a method I wrote to look 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."
    423    ]
    424   },
    425   {
    426    "cell_type": "code",
    427    "execution_count": 314,
    428    "metadata": {
    429     "collapsed": false
    430    },
    431    "outputs": [],
    432    "source": [
    433     "def find_cointegrated_pairs(securities_panel):\n",
    434     "    n = len(securities_panel.minor_axis)\n",
    435     "    score_matrix = np.zeros((n, n))\n",
    436     "    pvalue_matrix = np.ones((n, n))\n",
    437     "    keys = securities_panel.keys\n",
    438     "    pairs = []\n",
    439     "    for i in range(n):\n",
    440     "        for j in range(i+1, n):\n",
    441     "            S1 = securities_panel.minor_xs(securities_panel.minor_axis[i])\n",
    442     "            S2 = securities_panel.minor_xs(securities_panel.minor_axis[j])\n",
    443     "            result = coint(S1, S2)\n",
    444     "            score = result[0]\n",
    445     "            pvalue = result[1]\n",
    446     "            score_matrix[i, j] = score\n",
    447     "            pvalue_matrix[i, j] = pvalue\n",
    448     "            if pvalue < 0.05:\n",
    449     "                pairs.append((securities_panel.minor_axis[i], securities_panel.minor_axis[j]))\n",
    450     "    return score_matrix, pvalue_matrix, pairs"
    451    ]
    452   },
    453   {
    454    "cell_type": "markdown",
    455    "metadata": {},
    456    "source": [
    457     "## Looking for Cointegrated Pairs of Alternative Energy Securities\n",
    458     "I'm looking through a set of solar company stocks to see if any of them are cointegrated. We'll start by defining the list of securities we want to look through. Then we'll get the pricing data for each security for the year of 2014."
    459    ]
    460   },
    461   {
    462    "cell_type": "markdown",
    463    "metadata": {},
    464    "source": [
    465     "get_pricing() is a Quantopian method that pulls in stock data, and loads it into a Python Pandas DataPanel object.  Available fields are 'price', 'open_price', 'high', 'low', 'volume'.  But for this example we will just use 'price' which is the daily closing price of the stock."
    466    ]
    467   },
    468   {
    469    "cell_type": "code",
    470    "execution_count": 315,
    471    "metadata": {
    472     "collapsed": false
    473    },
    474    "outputs": [],
    475    "source": [
    476     "symbol_list = ['ABGB', 'ASTI', 'CSUN', 'DQ', 'FSLR','SPY']\n",
    477     "securities_panel = get_pricing(symbol_list, fields=['price']\n",
    478     "                               , start_date='2014-01-01', end_date='2015-01-01')\n",
    479     "securities_panel.minor_axis = map(lambda x: x.symbol, securities_panel.minor_axis)"
    480    ]
    481   },
    482   {
    483    "cell_type": "markdown",
    484    "metadata": {},
    485    "source": [
    486     "Example of how to get all the prices of all the stocks loaded using get_pricing() above in one pandas dataframe object"
    487    ]
    488   },
    489   {
    490    "cell_type": "code",
    491    "execution_count": 316,
    492    "metadata": {
    493     "collapsed": false
    494    },
    495    "outputs": [
    496     {
    497      "data": {
    498       "text/html": [
    499        "<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
    500        "<table border=\"1\" class=\"dataframe\">\n",
    501        "  <thead>\n",
    502        "    <tr style=\"text-align: right;\">\n",
    503        "      <th></th>\n",
    504        "      <th>ABGB</th>\n",
    505        "      <th>ASTI</th>\n",
    506        "      <th>CSUN</th>\n",
    507        "      <th>DQ</th>\n",
    508        "      <th>FSLR</th>\n",
    509        "      <th>SPY</th>\n",
    510        "    </tr>\n",
    511        "  </thead>\n",
    512        "  <tbody>\n",
    513        "    <tr>\n",
    514        "      <th>2014-01-02 00:00:00+00:00</th>\n",
    515        "      <td>14.4198</td>\n",
    516        "      <td>7.409</td>\n",
    517        "      <td>7.0400</td>\n",
    518        "      <td>38.00</td>\n",
    519        "      <td>57.43</td>\n",
    520        "      <td>182.95</td>\n",
    521        "    </tr>\n",
    522        "    <tr>\n",
    523        "      <th>2014-01-03 00:00:00+00:00</th>\n",
    524        "      <td>14.7546</td>\n",
    525        "      <td>7.250</td>\n",
    526        "      <td>7.0775</td>\n",
    527        "      <td>39.50</td>\n",
    528        "      <td>56.74</td>\n",
    529        "      <td>182.80</td>\n",
    530        "    </tr>\n",
    531        "    <tr>\n",
    532        "      <th>2014-01-06 00:00:00+00:00</th>\n",
    533        "      <td>15.3300</td>\n",
    534        "      <td>7.121</td>\n",
    535        "      <td>7.0000</td>\n",
    536        "      <td>40.05</td>\n",
    537        "      <td>51.26</td>\n",
    538        "      <td>182.40</td>\n",
    539        "    </tr>\n",
    540        "    <tr>\n",
    541        "      <th>2014-01-07 00:00:00+00:00</th>\n",
    542        "      <td>15.6300</td>\n",
    543        "      <td>7.299</td>\n",
    544        "      <td>6.9300</td>\n",
    545        "      <td>41.93</td>\n",
    546        "      <td>52.48</td>\n",
    547        "      <td>183.44</td>\n",
    548        "    </tr>\n",
    549        "    <tr>\n",
    550        "      <th>2014-01-08 00:00:00+00:00</th>\n",
    551        "      <td>15.3100</td>\n",
    552        "      <td>7.101</td>\n",
    553        "      <td>7.1600</td>\n",
    554        "      <td>42.49</td>\n",
    555        "      <td>51.68</td>\n",
    556        "      <td>183.53</td>\n",
    557        "    </tr>\n",
    558        "  </tbody>\n",
    559        "</table>\n",
    560        "</div>"
    561       ],
    562       "text/plain": [
    563        "                              ABGB   ASTI    CSUN     DQ   FSLR     SPY\n",
    564        "2014-01-02 00:00:00+00:00  14.4198  7.409  7.0400  38.00  57.43  182.95\n",
    565        "2014-01-03 00:00:00+00:00  14.7546  7.250  7.0775  39.50  56.74  182.80\n",
    566        "2014-01-06 00:00:00+00:00  15.3300  7.121  7.0000  40.05  51.26  182.40\n",
    567        "2014-01-07 00:00:00+00:00  15.6300  7.299  6.9300  41.93  52.48  183.44\n",
    568        "2014-01-08 00:00:00+00:00  15.3100  7.101  7.1600  42.49  51.68  183.53"
    569       ]
    570      },
    571      "execution_count": 316,
    572      "metadata": {},
    573      "output_type": "execute_result"
    574     }
    575    ],
    576    "source": [
    577     "securities_panel.loc['price'].head(5)"
    578    ]
    579   },
    580   {
    581    "cell_type": "markdown",
    582    "metadata": {},
    583    "source": [
    584     "Example of how to get just the prices of a single stock that was loaded using get_pricing() above"
    585    ]
    586   },
    587   {
    588    "cell_type": "code",
    589    "execution_count": 317,
    590    "metadata": {
    591     "collapsed": false
    592    },
    593    "outputs": [
    594     {
    595      "data": {
    596       "text/html": [
    597        "<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
    598        "<table border=\"1\" class=\"dataframe\">\n",
    599        "  <thead>\n",
    600        "    <tr style=\"text-align: right;\">\n",
    601        "      <th></th>\n",
    602        "      <th>price</th>\n",
    603        "    </tr>\n",
    604        "  </thead>\n",
    605        "  <tbody>\n",
    606        "    <tr>\n",
    607        "      <th>2014-01-02 00:00:00+00:00</th>\n",
    608        "      <td>182.95</td>\n",
    609        "    </tr>\n",
    610        "    <tr>\n",
    611        "      <th>2014-01-03 00:00:00+00:00</th>\n",
    612        "      <td>182.80</td>\n",
    613        "    </tr>\n",
    614        "    <tr>\n",
    615        "      <th>2014-01-06 00:00:00+00:00</th>\n",
    616        "      <td>182.40</td>\n",
    617        "    </tr>\n",
    618        "    <tr>\n",
    619        "      <th>2014-01-07 00:00:00+00:00</th>\n",
    620        "      <td>183.44</td>\n",
    621        "    </tr>\n",
    622        "    <tr>\n",
    623        "      <th>2014-01-08 00:00:00+00:00</th>\n",
    624        "      <td>183.53</td>\n",
    625        "    </tr>\n",
    626        "  </tbody>\n",
    627        "</table>\n",
    628        "</div>"
    629       ],
    630       "text/plain": [
    631        "                            price\n",
    632        "2014-01-02 00:00:00+00:00  182.95\n",
    633        "2014-01-03 00:00:00+00:00  182.80\n",
    634        "2014-01-06 00:00:00+00:00  182.40\n",
    635        "2014-01-07 00:00:00+00:00  183.44\n",
    636        "2014-01-08 00:00:00+00:00  183.53"
    637       ]
    638      },
    639      "execution_count": 317,
    640      "metadata": {},
    641      "output_type": "execute_result"
    642     }
    643    ],
    644    "source": [
    645     "securities_panel.minor_xs('SPY').head(5)"
    646    ]
    647   },
    648   {
    649    "cell_type": "markdown",
    650    "metadata": {},
    651    "source": [
    652     "Now we'll run our method on the list and see if any pairs are cointegrated."
    653    ]
    654   },
    655   {
    656    "cell_type": "code",
    657    "execution_count": 318,
    658    "metadata": {
    659     "collapsed": false
    660    },
    661    "outputs": [
    662     {
    663      "name": "stdout",
    664      "output_type": "stream",
    665      "text": [
    666       "[(u'ABGB', u'FSLR')]\n"
    667      ]
    668     },
    669     {
    670      "data": {
    671       "image/png": 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BAGCBZiXj35XkC939+en+A5I8JJNP5jytu7+6lAoBAGCrESXjsx7JmZl8alCq6tjp/iVJ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\nYII=\n",
    672       "text/plain": [
    673        "<matplotlib.figure.Figure at 0x7f373a524e10>"
    674       ]
    675      },
    676      "metadata": {},
    677      "output_type": "display_data"
    678     }
    679    ],
    680    "source": [
    681     "# Heatmap to show the p-values of the cointegration test between each pair of\n",
    682     "# stocks. Only show the value in the upper-diagonal of the heatmap\n",
    683     "# (Just showing a '1' for everything in lower diagonal)\n",
    684     "\n",
    685     "scores, pvalues, pairs = find_cointegrated_pairs(securities_panel)\n",
    686     "import seaborn\n",
    687     "seaborn.heatmap(pvalues, xticklabels=symbol_list, yticklabels=symbol_list, cmap='RdYlGn_r' \n",
    688     "                , mask = (pvalues >= 0.95)\n",
    689     "                )\n",
    690     "print pairs"
    691    ]
    692   },
    693   {
    694    "cell_type": "markdown",
    695    "metadata": {
    696     "collapsed": false
    697    },
    698    "source": [
    699     "Looks like 'ABGB' and 'FSLR' are cointegrated. Let's take a look at the prices to make sure there's nothing weird going on."
    700    ]
    701   },
    702   {
    703    "cell_type": "code",
    704    "execution_count": 319,
    705    "metadata": {
    706     "collapsed": false
    707    },
    708    "outputs": [],
    709    "source": [
    710     "S1 = securities_panel.loc['price']['ABGB']\n",
    711     "S2 = securities_panel.loc['price']['FSLR']"
    712    ]
    713   },
    714   {
    715    "cell_type": "code",
    716    "execution_count": 320,
    717    "metadata": {
    718     "collapsed": false
    719    },
    720    "outputs": [
    721     {
    722      "data": {
    723       "text/plain": [
    724        "0.0060792512281637916"
    725       ]
    726      },
    727      "execution_count": 320,
    728      "metadata": {},
    729      "output_type": "execute_result"
    730     }
    731    ],
    732    "source": [
    733     "score, pvalue, _ = coint(S1, S2)\n",
    734     "pvalue"
    735    ]
    736   },
    737   {
    738    "cell_type": "markdown",
    739    "metadata": {},
    740    "source": [
    741     "We'll plot the spread of the two series."
    742    ]
    743   },
    744   {
    745    "cell_type": "code",
    746    "execution_count": 321,
    747    "metadata": {
    748     "collapsed": false
    749    },
    750    "outputs": [
    751     {
    752      "data": {
    753       "text/plain": [
    754        "<matplotlib.lines.Line2D at 0x7f373ae68a90>"
    755       ]
    756      },
    757      "execution_count": 321,
    758      "metadata": {},
    759      "output_type": "execute_result"
    760     },
    761     {
    762      "data": {
    763       "image/png": 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Ixprk56vZqq8yQxCA1y6M4aVzI2ntpsmG8ph9wwspb8egJksTc14IAlK+SVrr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\nRnNQY2ZmZmZmjfb/AXoZN8NBNcBnAAAAAElFTkSuQmCC\n",
    764       "text/plain": [
    765        "<matplotlib.figure.Figure at 0x7f373a3f4c90>"
    766       ]
    767      },
    768      "metadata": {},
    769      "output_type": "display_data"
    770     }
    771    ],
    772    "source": [
    773     "diff_series = S1 - S2\n",
    774     "diff_series.plot()\n",
    775     "plt.axhline(diff_series.mean(), color='black')"
    776    ]
    777   },
    778   {
    779    "cell_type": "markdown",
    780    "metadata": {},
    781    "source": [
    782     "The absolute spread isn't very useful in statistical terms. It is more helpful to normalize our signal by treating it as a z-score. This way we associate probabilities to the signals we see. If we see a z-score of 1, we know that approximately 84% of all spread values will be smaller."
    783    ]
    784   },
    785   {
    786    "cell_type": "code",
    787    "execution_count": 322,
    788    "metadata": {
    789     "collapsed": true
    790    },
    791    "outputs": [],
    792    "source": [
    793     "def zscore(series):\n",
    794     "    return (series - series.mean()) / np.std(series)"
    795    ]
    796   },
    797   {
    798    "cell_type": "code",
    799    "execution_count": 323,
    800    "metadata": {
    801     "collapsed": false
    802    },
    803    "outputs": [
    804     {
    805      "data": {
    806       "text/plain": [
    807        "<matplotlib.lines.Line2D at 0x7f373a0a6e50>"
    808       ]
    809      },
    810      "execution_count": 323,
    811      "metadata": {},
    812      "output_type": "execute_result"
    813     },
    814     {
    815      "data": {
    816       "image/png": 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QQnIQRAmBYBxDPS6YjTxlXjaJSDwFp81U8iqOXKwWpQqmUN+LIEr4iy+P4+nTMxV/n3JQ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xF43LSvDw89cxHHzk7h0M5u43cs81KPxYvNKsBuEzAbjGN0KoKBda2L5moRBFFfkG2MaDhY8aKY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\n",
    817       "text/plain": [
    818        "<matplotlib.figure.Figure at 0x7f373a56eed0>"
    819       ]
    820      },
    821      "metadata": {},
    822      "output_type": "display_data"
    823     }
    824    ],
    825    "source": [
    826     "zscore(diff_series).plot()\n",
    827     "plt.axhline(zscore(diff_series).mean(), color='black')\n",
    828     "plt.axhline(1.0, color='red', linestyle='--')\n",
    829     "plt.axhline(-1.0, color='green', linestyle='--')\n"
    830    ]
    831   },
    832   {
    833    "cell_type": "markdown",
    834    "metadata": {},
    835    "source": [
    836     "### Simple Strategy: \n",
    837     "* Go \"Long\" the spread whenever the z-score is below -1.0\n",
    838     "* Go \"Short\" the spread when the z-score is above 1.0\n",
    839     "* Exit positions when the z-score approaches zero"
    840    ]
    841   },
    842   {
    843    "cell_type": "markdown",
    844    "metadata": {},
    845    "source": [
    846     "Since we originally defined the \"spread\" as S1-S2, \"Long\" the spread would mean \"Buy 1 share of S1, and Sell Short 1 share of S2\" (and vice versa if you were going \"Short\" the spread)"
    847    ]
    848   },
    849   {
    850    "cell_type": "markdown",
    851    "metadata": {},
    852    "source": [
    853     "This is just the tip of the iceberg, and only a very simplistic example to illustrate the concepts.  In practice you would want to compute a more optimal weighting for how many shares to hold for S1 and S2.  Some additional resources on pair trading are listed at the end of this notebook"
    854    ]
    855   },
    856   {
    857    "cell_type": "markdown",
    858    "metadata": {},
    859    "source": [
    860     "##Trading using constantly updating statistics"
    861    ]
    862   },
    863   {
    864    "cell_type": "markdown",
    865    "metadata": {},
    866    "source": [
    867     "## Def: Moving Average\n",
    868     "A moving average is just an average over the last $n$ datapoints for each given time. It will be undefined for the first $n$ datapoints in our series."
    869    ]
    870   },
    871   {
    872    "cell_type": "code",
    873    "execution_count": 324,
    874    "metadata": {
    875     "collapsed": false
    876    },
    877    "outputs": [
    878     {
    879      "data": {
    880       "text/plain": [
    881        "<matplotlib.axes._subplots.AxesSubplot at 0x7f373a073a50>"
    882       ]
    883      },
    884      "execution_count": 324,
    885      "metadata": {},
    886      "output_type": "execute_result"
    887     },
    888     {
    889      "data": {
    890       "image/png": 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ILb1t3LToSpak+e8ulWCxbvpQR413St897U9iXil+B5fbxScXX0tG7Mk6ifuH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\nrkJggg==\n",
    891       "text/plain": [
    892        "<matplotlib.figure.Figure at 0x7f373a51cf90>"
    893       ]
    894      },
    895      "metadata": {},
    896      "output_type": "display_data"
    897     }
    898    ],
    899    "source": [
    900     "# Get the difference in prices between the 2 stocks\n",
    901     "difference = S1 - S2\n",
    902     "difference.name = 'diff'\n",
    903     "\n",
    904     "# Get the 10 day moving average of the difference\n",
    905     "diff_mavg10 = pd.rolling_mean(difference, window=10)\n",
    906     "diff_mavg10.name = 'diff 10d mavg'\n",
    907     "\n",
    908     "# Get the 60 day moving average\n",
    909     "diff_mavg60 = pd.rolling_mean(difference, window=60)\n",
    910     "diff_mavg60.name = 'diff 60d mavg'\n",
    911     "\n",
    912     "pd.concat([diff_mavg60, diff_mavg10], axis=1).plot()\n",
    913     "# pd.concat([diff_mavg60, diff_mavg10, difference], axis=1).plot()"
    914    ]
    915   },
    916   {
    917    "cell_type": "markdown",
    918    "metadata": {},
    919    "source": [
    920     "We can use the moving averages to compute the z-score of the difference at each given time. This will tell us how extreme the difference 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."
    921    ]
    922   },
    923   {
    924    "cell_type": "code",
    925    "execution_count": 325,
    926    "metadata": {
    927     "collapsed": false
    928    },
    929    "outputs": [
    930     {
    931      "data": {
    932       "text/plain": [
    933        "<matplotlib.lines.Line2D at 0x7f3739d60550>"
    934       ]
    935      },
    936      "execution_count": 325,
    937      "metadata": {},
    938      "output_type": "execute_result"
    939     },
    940     {
    941      "data": {
    942       "image/png": 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cHqOGA5drqC9ATmYy9h7rjtudxgeH3dhzrAul+enYuqo4KmPUVwQ6W0kdnM2h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6AAAR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\ngg==\n",
    943       "text/plain": [
    944        "<matplotlib.figure.Figure at 0x7f373b345190>"
    945       ]
    946      },
    947      "metadata": {},
    948      "output_type": "display_data"
    949     }
    950    ],
    951    "source": [
    952     "# Take a rolling 60 day standard deviation\n",
    953     "std_60 = pd.rolling_std(difference, window=60)\n",
    954     "std_60.name = 'std 60d'\n",
    955     "\n",
    956     "# Compute the z score for each day\n",
    957     "zscore_60_10 = (diff_mavg10 - diff_mavg60)/std_60\n",
    958     "zscore_60_10.name = 'z-score'\n",
    959     "zscore_60_10.plot()\n",
    960     "plt.axhline(0, color='black')\n",
    961     "plt.axhline(1.0, color='red', linestyle='--')\n",
    962     "plt.axhline(-1.0, color='green', linestyle='--')"
    963    ]
    964   },
    965   {
    966    "cell_type": "markdown",
    967    "metadata": {},
    968    "source": [
    969     "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. We'll take the negative of the z-score because the differences were all negative and that's kinda confusing."
    970    ]
    971   },
    972   {
    973    "cell_type": "code",
    974    "execution_count": 326,
    975    "metadata": {
    976     "collapsed": false
    977    },
    978    "outputs": [
    979     {
    980      "data": {
    981       "text/plain": [
    982        "<matplotlib.axes._subplots.AxesSubplot at 0x7f3739d4e390>"
    983       ]
    984      },
    985      "execution_count": 326,
    986      "metadata": {},
    987      "output_type": "execute_result"
    988     },
    989     {
    990      "data": {
    991       "image/png": 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QFbv+dIazhQMPjV/Be5Ef896Jj3l1zm/bNSo4k59AQmEytmbWpJVnodPreGrS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\n+2VxlFS1kJpdzb6sKg4fqSO/tIn/bchhbKQnv7tufJ8/BMXIdqS8ia0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o5r5r4yVwEUIM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\nQmCC\n",
    992       "text/plain": [
    993        "<matplotlib.figure.Figure at 0x7f373a51ce10>"
    994       ]
    995      },
    996      "metadata": {},
    997      "output_type": "display_data"
    998     }
    999    ],
   1000    "source": [
   1001     "two_stocks = securities_panel.loc['price'][['ABGB', 'FSLR']]\n",
   1002     "# Plot the prices scaled down along with the negative z-score\n",
   1003     "# just divide the stock prices by 10 to make viewing it on the plot easier\n",
   1004     "pd.concat([two_stocks/10, zscore_60_10], axis=1).plot()"
   1005    ]
   1006   },
   1007   {
   1008    "cell_type": "markdown",
   1009    "metadata": {},
   1010    "source": [
   1011     "##This notebook contained some simple introductory approaches. In practice one should use more sophisticated statistics, some of which are listed here."
   1012    ]
   1013   },
   1014   {
   1015    "cell_type": "markdown",
   1016    "metadata": {},
   1017    "source": [
   1018     "* Augmented-Dickey Fuller test \n",
   1019     "* Hurst exponent\n",
   1020     "* Half-life of mean reversion inferred from an Ornstein–Uhlenbeck process\n",
   1021     "* Kalman filters"
   1022    ]
   1023   },
   1024   {
   1025    "cell_type": "markdown",
   1026    "metadata": {},
   1027    "source": [
   1028     "(this is *not* an endorsement) But, a very good practical resource for learning more about pair trading is Dr. Ernie Chan's book:  Algorithmic Trading: Winning Strategies and Their Rationale\n",
   1029     "http://www.amazon.com/Algorithmic-Trading-Winning-Strategies-Rationale/dp/1118460146/"
   1030    ]
   1031   }
   1032  ],
   1033  "metadata": {
   1034   "kernelspec": {
   1035    "display_name": "Python 2",
   1036    "language": "python",
   1037    "name": "python2"
   1038   },
   1039   "language_info": {
   1040    "codemirror_mode": {
   1041     "name": "ipython",
   1042     "version": 2
   1043    },
   1044    "file_extension": ".py",
   1045    "mimetype": "text/x-python",
   1046    "name": "python",
   1047    "nbconvert_exporter": "python",
   1048    "pygments_lexer": "ipython2",
   1049    "version": "2.7.6"
   1050   }
   1051  },
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   1053  "nbformat_minor": 0
   1054 }