ml-finance-python

python scripts for finance machine learning

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

notebook.ipynb

(398657B)


      1 {
      2  "cells": [
      3   {
      4    "cell_type": "markdown",
      5    "metadata": {
      6     "deletable": true,
      7     "editable": true
      8    },
      9    "source": [
     10     "# Exercises: Mean Reversion on Futures - Answer Key\n",
     11     "By Chris Fenaroli, Delaney Mackenzie, and Maxwell Margenot\n",
     12     "\n",
     13     "## Lecture Link\n",
     14     "https://www.quantopian.com/lectures/introduction-to-pairs-trading\n",
     15     "\n",
     16     "https://www.quantopian.com/lectures/mean-reversion-on-futures\n",
     17     "\n",
     18     "###IMPORTANT NOTE: \n",
     19     "This lecture corresponds to the Mean Reversion on Futures lecture, which is part of the Quantopian lecture series. This homework expects you to rely heavily on the code presented in the corresponding lecture. Please copy and paste regularly from that lecture when starting to work on the problems, as trying to do them from scratch will likely be too difficult.\n",
     20     "\n",
     21     "Part of the Quantopian Lecture Series:\n",
     22     "\n",
     23     "* [www.quantopian.com/lectures](https://www.quantopian.com/lectures)\n",
     24     "* [github.com/quantopian/research_public](https://github.com/quantopian/research_public)\n",
     25     "\n",
     26     "\n",
     27     "----"
     28    ]
     29   },
     30   {
     31    "cell_type": "markdown",
     32    "metadata": {
     33     "deletable": true,
     34     "editable": true
     35    },
     36    "source": [
     37     "## Key Concepts"
     38    ]
     39   },
     40   {
     41    "cell_type": "code",
     42    "execution_count": 1,
     43    "metadata": {
     44     "collapsed": true,
     45     "deletable": true,
     46     "editable": true
     47    },
     48    "outputs": [],
     49    "source": [
     50     "# Useful Functions\n",
     51     "def find_cointegrated_pairs(data):\n",
     52     "    n = data.shape[1]\n",
     53     "    score_matrix = np.zeros((n, n))\n",
     54     "    pvalue_matrix = np.ones((n, n))\n",
     55     "    keys = data.keys()\n",
     56     "    pairs = []\n",
     57     "    for i in range(n):\n",
     58     "        for j in range(i+1, n):\n",
     59     "            S1 = data[keys[i]]\n",
     60     "            S2 = data[keys[j]]\n",
     61     "            result = coint(S1, S2)\n",
     62     "            score = result[0]\n",
     63     "            pvalue = result[1]\n",
     64     "            score_matrix[i, j] = score\n",
     65     "            pvalue_matrix[i, j] = pvalue\n",
     66     "            if pvalue < 0.05:\n",
     67     "                pairs.append((keys[i], keys[j]))\n",
     68     "    return score_matrix, pvalue_matrix, pairs"
     69    ]
     70   },
     71   {
     72    "cell_type": "code",
     73    "execution_count": 2,
     74    "metadata": {
     75     "collapsed": true,
     76     "deletable": true,
     77     "editable": true
     78    },
     79    "outputs": [],
     80    "source": [
     81     "# Useful Libraries\n",
     82     "import numpy as np\n",
     83     "import pandas as pd\n",
     84     "\n",
     85     "import statsmodels\n",
     86     "import statsmodels.api as sm\n",
     87     "from statsmodels.tsa.stattools import coint, adfuller\n",
     88     "from quantopian.research.experimental import history, continuous_future\n",
     89     "# just set the seed for the random number generator\n",
     90     "np.random.seed(107)\n",
     91     "\n",
     92     "import matplotlib.pyplot as plt"
     93    ]
     94   },
     95   {
     96    "cell_type": "markdown",
     97    "metadata": {
     98     "deletable": true,
     99     "editable": true
    100    },
    101    "source": [
    102     "----"
    103    ]
    104   },
    105   {
    106    "cell_type": "markdown",
    107    "metadata": {
    108     "deletable": true,
    109     "editable": true
    110    },
    111    "source": [
    112     "#Exercise 1: Testing Artificial Examples\n",
    113     "\n",
    114     "We'll use some artificially generated series first as they are much cleaner and easier to work with. In general when learning or developing a new technique, use simulated data to provide a clean environment. Simulated data also allows you to control the level of noise and difficulty level for your model.\n",
    115     "\n",
    116     "##a. Cointegration Test I\n",
    117     "\n",
    118     "Determine whether the following two artificial series $A$ and $B$ are cointegrated using the `coint()` function and a reasonable confidence level."
    119    ]
    120   },
    121   {
    122    "cell_type": "code",
    123    "execution_count": 3,
    124    "metadata": {
    125     "collapsed": false,
    126     "deletable": true,
    127     "editable": true
    128    },
    129    "outputs": [],
    130    "source": [
    131     "A_returns = np.random.normal(0, 1, 100)\n",
    132     "A = pd.Series(np.cumsum(A_returns), name='X') + 50\n",
    133     "\n",
    134     "some_noise = np.random.exponential(1, 100)\n",
    135     " \n",
    136     "B = A - 7 + some_noise\n",
    137     "\n",
    138     "#Your code goes here"
    139    ]
    140   },
    141   {
    142    "cell_type": "code",
    143    "execution_count": 4,
    144    "metadata": {
    145     "collapsed": false,
    146     "deletable": true,
    147     "editable": true
    148    },
    149    "outputs": [
    150     {
    151      "name": "stdout",
    152      "output_type": "stream",
    153      "text": [
    154       "A and B are cointegrated\n",
    155       "6.96867595624e-15\n"
    156      ]
    157     },
    158     {
    159      "data": {
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jQ9y6OgpSiYBNO/IntHfLsf7SsIVxfgYdnxDuCUEATpwxTmkaERGRuVhd0gL0bTSp04vI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owlAIC1WcsAABf9LBF7vfpdfP6db8y5hJlEpy0rswAAJ7xkW9p6R6CMlyBO5rlXzh+DxvG9Z3oL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\nsQAAAABJRU5ErkJggg==\n",
    161       "text/plain": [
    162        "<matplotlib.figure.Figure at 0x7ff17692b450>"
    163       ]
    164      },
    165      "metadata": {},
    166      "output_type": "display_data"
    167     }
    168    ],
    169    "source": [
    170     "## answer key ##\n",
    171     "score, pvalue, _ = coint(A,B)\n",
    172     "\n",
    173     "confidence_level = 0.05\n",
    174     "\n",
    175     "if pvalue < confidence_level:\n",
    176     "    print (\"A and B are cointegrated\")\n",
    177     "    print pvalue\n",
    178     "else:\n",
    179     "    print (\"A and B are not cointegrated\")\n",
    180     "    print pvalue\n",
    181     "    \n",
    182     "A.name = \"A\"\n",
    183     "B.name = \"B\"\n",
    184     "pd.concat([A, B], axis=1).plot();"
    185    ]
    186   },
    187   {
    188    "cell_type": "markdown",
    189    "metadata": {
    190     "deletable": true,
    191     "editable": true
    192    },
    193    "source": [
    194     "##b. Cointegration Test II\n",
    195     "\n",
    196     "Determine whether the following two artificial series $C$ and $D$ are cointegrated using the `coint()` function and a reasonable confidence level."
    197    ]
    198   },
    199   {
    200    "cell_type": "code",
    201    "execution_count": 5,
    202    "metadata": {
    203     "collapsed": false,
    204     "deletable": true,
    205     "editable": true
    206    },
    207    "outputs": [],
    208    "source": [
    209     "C_returns = np.random.normal(1, 1, 100) \n",
    210     "C = pd.Series(np.cumsum(C_returns), name='X') + 100\n",
    211     "\n",
    212     "D_returns = np.random.normal(2, 1, 100)\n",
    213     "D = pd.Series(np.cumsum(D_returns), name='X') + 100\n",
    214     "\n",
    215     "#Your code goes here"
    216    ]
    217   },
    218   {
    219    "cell_type": "code",
    220    "execution_count": 6,
    221    "metadata": {
    222     "collapsed": false,
    223     "deletable": true,
    224     "editable": true,
    225     "scrolled": false
    226    },
    227    "outputs": [
    228     {
    229      "name": "stdout",
    230      "output_type": "stream",
    231      "text": [
    232       "C and D are not cointegrated\n",
    233       "0.487261538359\n"
    234      ]
    235     },
    236     {
    237      "data": {
    238       "image/png": 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Wz3/+c/n6+srf31+///3v5XA49OCDD2rFihWyWq1auXKlAgIC+uMcAADAEONy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\n3coprNbugtNq63DJarXIarHIYtGZzz/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Sol1E2hw47BFE2hxE2iJw2Ifvs+PSyXPmEGa9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\nERERERGZkP4P2NQZ2plBn/EAAAAASUVORK5CYII=\n",
    239       "text/plain": [
    240        "<matplotlib.figure.Figure at 0x7ff16ceac990>"
    241       ]
    242      },
    243      "metadata": {},
    244      "output_type": "display_data"
    245     }
    246    ],
    247    "source": [
    248     "## answer key ##\n",
    249     "score, pvalue, _ = coint(C,D)\n",
    250     "\n",
    251     "confidence_level = 0.05\n",
    252     "\n",
    253     "if pvalue < confidence_level:\n",
    254     "    print (\"C and D are cointegrated\")\n",
    255     "    print pvalue\n",
    256     "else:\n",
    257     "    print (\"C and D are not cointegrated\")\n",
    258     "    print pvalue\n",
    259     "\n",
    260     "C.name = \"C\"\n",
    261     "D.name = \"D\"\n",
    262     "pd.concat([C, D], axis=1).plot();"
    263    ]
    264   },
    265   {
    266    "cell_type": "markdown",
    267    "metadata": {
    268     "deletable": true,
    269     "editable": true
    270    },
    271    "source": [
    272     "----"
    273    ]
    274   },
    275   {
    276    "cell_type": "markdown",
    277    "metadata": {
    278     "deletable": true,
    279     "editable": true
    280    },
    281    "source": [
    282     "#Exercise 2: Testing Real Examples\n",
    283     "\n",
    284     "##a. Real Cointegration Test I\n",
    285     "\n",
    286     "Determine whether the following two assets `CN` and `SB` were cointegrated during 2015 using the `coint()` function and a reasonable confidence level."
    287    ]
    288   },
    289   {
    290    "cell_type": "code",
    291    "execution_count": 7,
    292    "metadata": {
    293     "collapsed": false,
    294     "deletable": true,
    295     "editable": true
    296    },
    297    "outputs": [],
    298    "source": [
    299     "cn = continuous_future('CN', offset = 0, roll = 'calendar', adjustment = 'mul')\n",
    300     "sb = continuous_future('SB', offset = 0, roll = 'calendar', adjustment = 'mul')\n",
    301     "\n",
    302     "cn_price = history(cn, 'price', '2015-01-01', '2016-01-01', 'daily')\n",
    303     "sb_price = history(sb, 'price', '2015-01-01', '2016-01-01', 'daily')\n",
    304     "\n",
    305     "#Your code goes here\n",
    306     "#print history.__doc__"
    307    ]
    308   },
    309   {
    310    "cell_type": "code",
    311    "execution_count": 8,
    312    "metadata": {
    313     "collapsed": false,
    314     "deletable": true,
    315     "editable": true
    316    },
    317    "outputs": [
    318     {
    319      "name": "stdout",
    320      "output_type": "stream",
    321      "text": [
    322       "CN and SB are not cointegrated\n",
    323       "0.605183628116\n"
    324      ]
    325     },
    326     {
    327      "data": {
    328       "image/png": 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80gZe/jyedo12gEbady1qDa9+eZDPf03B3sacV/40hX/cM4Ewf0d2Hy5izZ7sLq+pa1Sz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\ncCijgp92ZjFvkn+3n9eL0a+7sykoMyx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/eX35y1/W0KFD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wcHvLy8xPmiL9zNaeHn54eVlRVpaWmEh4fj7u5OYWEhdXV1jB07VswzWrBgAefOnePhhx/G3d39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\n",
    329       "text/plain": [
    330        "<matplotlib.figure.Figure at 0x7ff16c5405d0>"
    331       ]
    332      },
    333      "metadata": {},
    334      "output_type": "display_data"
    335     }
    336    ],
    337    "source": [
    338     "## answer key ##\n",
    339     "score, pvalue, _ = coint(cn_price, sb_price)\n",
    340     "\n",
    341     "confidence_level = 0.05\n",
    342     "\n",
    343     "if pvalue < confidence_level:\n",
    344     "    print (\"CN and SB are cointegrated\")\n",
    345     "    print pvalue\n",
    346     "else:\n",
    347     "    print (\"CN and SB are not cointegrated\")\n",
    348     "    print pvalue\n",
    349     "\n",
    350     "cn_price.name = \"CN\"\n",
    351     "sb_price.name = \"SB\"\n",
    352     "pd.concat([cn_price, sb_price], axis=1).plot();"
    353    ]
    354   },
    355   {
    356    "cell_type": "markdown",
    357    "metadata": {
    358     "deletable": true,
    359     "editable": true
    360    },
    361    "source": [
    362     "##b. Real Cointegration Test II\n",
    363     "\n",
    364     "Determine whether the following two underlyings `CL` and `HO` were cointegrated during 2015 using the `coint()` function and a reasonable confidence level."
    365    ]
    366   },
    367   {
    368    "cell_type": "code",
    369    "execution_count": 9,
    370    "metadata": {
    371     "collapsed": false,
    372     "deletable": true,
    373     "editable": true
    374    },
    375    "outputs": [],
    376    "source": [
    377     "cl = continuous_future('CL', offset = 0, roll = 'calendar', adjustment = 'mul')\n",
    378     "ho = continuous_future('HO', offset = 0, roll = 'calendar', adjustment = 'mul')\n",
    379     "\n",
    380     "cl_price = history(cl, 'price', '2015-01-01', '2016-01-01', 'daily')\n",
    381     "ho_price = history(ho, 'price', '2015-01-01', '2016-01-01', 'daily')\n",
    382     "\n",
    383     "#Your code goes here"
    384    ]
    385   },
    386   {
    387    "cell_type": "code",
    388    "execution_count": 10,
    389    "metadata": {
    390     "collapsed": false,
    391     "deletable": true,
    392     "editable": true
    393    },
    394    "outputs": [
    395     {
    396      "name": "stdout",
    397      "output_type": "stream",
    398      "text": [
    399       "CL and HO are cointegrated\n",
    400       "0.0470273399855\n"
    401      ]
    402     },
    403     {
    404      "data": {
    405       "image/png": 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sMdPVpVNXsSp5CSeqzvCtHT/ltRM7u82J+qDwEBXN1WycvoYwS4hn+0DDzIpd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\n8PLyIicnh7KyMjw8PPQL383MzIiOjmbChAk4ODi0RBXuiW+++YaUlBTq6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    406       "text/plain": [
    407        "<matplotlib.figure.Figure at 0x7ff16c397ad0>"
    408       ]
    409      },
    410      "metadata": {},
    411      "output_type": "display_data"
    412     }
    413    ],
    414    "source": [
    415     "## answer key ##\n",
    416     "confidence_level = 0.05\n",
    417     "\n",
    418     "score, pvalue, _ = coint(cl_price, ho_price)\n",
    419     "\n",
    420     "if pvalue < confidence_level:\n",
    421     "    print (\"CL and HO are cointegrated\")\n",
    422     "    print pvalue\n",
    423     "else:\n",
    424     "    print (\"CL and HO are not cointegrated\")\n",
    425     "    print pvalue\n",
    426     "\n",
    427     "cl_price.name = 'CL'\n",
    428     "ho_price.name = 'HO'\n",
    429     "pd.concat([cl_price, ho_price.multiply(42)], axis=1).plot();"
    430    ]
    431   },
    432   {
    433    "cell_type": "markdown",
    434    "metadata": {
    435     "deletable": true,
    436     "editable": true
    437    },
    438    "source": [
    439     "----"
    440    ]
    441   },
    442   {
    443    "cell_type": "markdown",
    444    "metadata": {
    445     "deletable": true,
    446     "editable": true
    447    },
    448    "source": [
    449     "#Exercise 3: Out of Sample Validation\n",
    450     "\n",
    451     "##a. Calculating the Spread\n",
    452     "\n",
    453     "Using pricing data from 2015, construct a linear regression to find a coefficient for the linear combination of `CL` and `HO` that makes their spread stationary."
    454    ]
    455   },
    456   {
    457    "cell_type": "code",
    458    "execution_count": 11,
    459    "metadata": {
    460     "collapsed": false,
    461     "deletable": true,
    462     "editable": true,
    463     "scrolled": false
    464    },
    465    "outputs": [
    466     {
    467      "name": "stdout",
    468      "output_type": "stream",
    469      "text": [
    470       "30.3502596624\n",
    471       "p-value for in-sample stationarity:  0.0124116865765\n"
    472      ]
    473     },
    474     {
    475      "data": {
    476       "image/png": 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Bo8ECwNte2dTlwNziFKy/cjo8HgFnzrUPeZwum8t3PLm/MiNKiB18mhkrM0REREREkS/i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\nyUS089li/gAAAABJRU5ErkJggg==\n",
    477       "text/plain": [
    478        "<matplotlib.figure.Figure at 0x7ff1740331d0>"
    479       ]
    480      },
    481      "metadata": {},
    482      "output_type": "display_data"
    483     }
    484    ],
    485    "source": [
    486     "## answer key ##\n",
    487     "results = sm.OLS(cl_price, sm.add_constant(ho_price)).fit()\n",
    488     "b = results.params['HO']\n",
    489     "\n",
    490     "print b\n",
    491     "spread = cl_price - b * ho_price\n",
    492     "print \"p-value for in-sample stationarity: \", adfuller(spread)[1]\n",
    493     "# The p-value is less than 0.05 so we conclude that this spread calculation is stationary in sample\n",
    494     "spread.plot()\n",
    495     "plt.axhline(spread.mean(), color='black')\n",
    496     "plt.legend(['Spread']);"
    497    ]
    498   },
    499   {
    500    "cell_type": "markdown",
    501    "metadata": {
    502     "deletable": true,
    503     "editable": true
    504    },
    505    "source": [
    506     "##b. Testing the Coefficient\n",
    507     "\n",
    508     "Use your coefficient from part a to plot the weighted spread using prices from the first half of 2016, and check whether the result is still stationary."
    509    ]
    510   },
    511   {
    512    "cell_type": "code",
    513    "execution_count": 12,
    514    "metadata": {
    515     "collapsed": true,
    516     "deletable": true,
    517     "editable": true
    518    },
    519    "outputs": [],
    520    "source": [
    521     "cl_out = get_pricing(cl, fields='price', \n",
    522     "                        start_date='2016-01-01', end_date='2016-07-01')\n",
    523     "ho_out = get_pricing(ho, fields='price', \n",
    524     "                        start_date='2016-01-01', end_date='2016-07-01')\n",
    525     "\n",
    526     "#Your code goes here"
    527    ]
    528   },
    529   {
    530    "cell_type": "code",
    531    "execution_count": 13,
    532    "metadata": {
    533     "collapsed": false,
    534     "deletable": true,
    535     "editable": true
    536    },
    537    "outputs": [
    538     {
    539      "name": "stdout",
    540      "output_type": "stream",
    541      "text": [
    542       "p-value for spread stationarity:  0.00434011120184\n"
    543      ]
    544     },
    545     {
    546      "data": {
    547       "image/png": 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niYiIiIhmkEkJUE6bnYnCrARs3tOKjt4BfDJUHH/+8kIAgCAIqKrMgHHAhuOt+oitw8ng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\n",
    548       "text/plain": [
    549        "<matplotlib.figure.Figure at 0x7ff16c6681d0>"
    550       ]
    551      },
    552      "metadata": {},
    553      "output_type": "display_data"
    554     }
    555    ],
    556    "source": [
    557     "## answer key ##\n",
    558     "\n",
    559     "spread = cl_out - b * ho_out\n",
    560     "spread.plot()\n",
    561     "plt.axhline(spread.mean(), color='black')\n",
    562     "plt.legend(['Spread']);\n",
    563     "\n",
    564     "print \"p-value for spread stationarity: \", adfuller(spread)[1]\n",
    565     "# Our p-value is less than 0.05 so we conclude that this calculation of\n",
    566     "# the spread is stationary out of sample"
    567    ]
    568   },
    569   {
    570    "cell_type": "markdown",
    571    "metadata": {
    572     "deletable": true,
    573     "editable": true
    574    },
    575    "source": [
    576     "----"
    577    ]
    578   },
    579   {
    580    "cell_type": "markdown",
    581    "metadata": {
    582     "deletable": true,
    583     "editable": true
    584    },
    585    "source": [
    586     "#Extra Credit Exercise: Hurst Exponent\n",
    587     "\n",
    588     "This exercise is more difficult and we will not provide initial structure.\n",
    589     "\n",
    590     "The Hurst exponent is a statistic between 0 and 1 that provides information about how much a time series is trending or mean reverting. We want our spread time series to be mean reverting, so we can use the Hurst exponent to monitor whether our pair is going out of cointegration. Effectively as a means of process control to know when our pair is no longer good to trade.\n",
    591     "\n",
    592     "Please find either an existing Python library that computes, or compute yourself, the Hurst exponent. Then plot it over time for the spread on the above pair of stocks.\n",
    593     "\n",
    594     "These links may be helpful:\n",
    595     "\n",
    596     "* https://en.wikipedia.org/wiki/Hurst_exponent\n",
    597     "* https://www.quantopian.com/posts/pair-trade-with-cointegration-and-mean-reversion-tests"
    598    ]
    599   },
    600   {
    601    "cell_type": "code",
    602    "execution_count": 14,
    603    "metadata": {
    604     "collapsed": true,
    605     "deletable": true,
    606     "editable": true
    607    },
    608    "outputs": [],
    609    "source": [
    610     "# No solution provided for extra credit exercises."
    611    ]
    612   },
    613   {
    614    "cell_type": "markdown",
    615    "metadata": {
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    617     "editable": true
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    619    "source": [
    620     "---\n",
    621     "\n",
    622     "Congratulations on completing the Mean Reversion on Futures exercises!\n",
    623     "\n",
    624     "As you learn more about writing trading models and the Quantopian platform, enter the daily [Quantopian Contest](https://www.quantopian.com/contest). Your strategy will be evaluated for a cash prize every day.\n",
    625     "\n",
    626     "Start by going through the [Writing a Contest Algorithm](https://www.quantopian.com/tutorials/contest) tutorial."
    627    ]
    628   },
    629   {
    630    "cell_type": "markdown",
    631    "metadata": {
    632     "deletable": true,
    633     "editable": true
    634    },
    635    "source": [
    636     "*This presentation is for informational purposes only and does not constitute an offer to sell, a solic\n",
    637     "itation to buy, or a recommendation for any security; nor does it constitute an offer to provide investment advisory or other services by Quantopian, Inc. (\"Quantopian\"). Nothing contained herein constitutes investment advice or offers any opinion with respect to the suitability of any security, and any views expressed herein should not be taken as advice to buy, sell, or hold any security or as an endorsement of any security or company.  In preparing the information contained herein, Quantopian, Inc. has not taken into account the investment needs, objectives, and financial circumstances of any particular investor. Any views expressed and data illustrated herein were prepared based upon information, believed to be reliable, available to Quantopian, Inc. at the time of publication. Quantopian makes no guarantees as to their accuracy or completeness. All information is subject to change and may quickly become unreliable for various reasons, including changes in market conditions or economic circumstances.*"
    638    ]
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