ml-finance-python

python scripts for finance machine learning

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

notebook.ipynb

(182048B)


      1 {
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      4    "cell_type": "markdown",
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      6     "deletable": true,
      7     "editable": true
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      9    "source": [
     10     "# Exercises: Introduction to Futures Contracts - Answer Key\n",
     11     "By Christopher van Hoecke, Maxwell Margenot, and Delaney Mackenzie\n",
     12     "\n",
     13     "## Lecture Link : \n",
     14     "https://www.quantopian.com/lectures/introduction-to-futures\n",
     15     "\n",
     16     "### IMPORTANT NOTE: \n",
     17     "This lecture corresponds to the 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",
     18     "\n",
     19     "Part of the Quantopian Lecture Series:\n",
     20     "\n",
     21     "* [www.quantopian.com/lectures](https://www.quantopian.com/lectures)\n",
     22     "* [github.com/quantopian/research_public](https://github.com/quantopian/research_public)\n",
     23     "\n",
     24     "----"
     25    ]
     26   },
     27   {
     28    "cell_type": "code",
     29    "execution_count": 1,
     30    "metadata": {
     31     "collapsed": true,
     32     "deletable": true,
     33     "editable": true
     34    },
     35    "outputs": [],
     36    "source": [
     37     "# Useful Libraries\n",
     38     "import numpy as np\n",
     39     "import pandas as pd\n",
     40     "import matplotlib.pyplot as plt"
     41    ]
     42   },
     43   {
     44    "cell_type": "markdown",
     45    "metadata": {
     46     "deletable": true,
     47     "editable": true
     48    },
     49    "source": [
     50     "----"
     51    ]
     52   },
     53   {
     54    "cell_type": "markdown",
     55    "metadata": {
     56     "deletable": true,
     57     "editable": true
     58    },
     59    "source": [
     60     "# Exercise 1: Futures Contract vs. Spot Markets\n",
     61     "\n",
     62     "In 2016, a corn farmer decided to sell his corn at the spot price to a distributor.\n",
     63     "\n",
     64     "Decide whether his decision to sell corn at the spot price was a wise one by comparing his profits from the market contract with his potential profits from the futures contract.\n",
     65     "\n",
     66     "Use the price of CORN, an ETF, as the spot price for 6 bushels of corn when he goes to market.\n",
     67     "\n",
     68     "You may also assume the following:\n",
     69     "- The producer plans on selling 15,000 bushels of corn in September 2016\n",
     70     "- The farmer would enter into a futures position on June 1st\n",
     71     "- The spot price sale would take place on the same date that the futures contract expires\n",
     72     "- No fees or payments are included in the futures sale or the market sale\n",
     73     "\n",
     74     "(Note that the listed futures price of corn is for one bushel.)"
     75    ]
     76   },
     77   {
     78    "cell_type": "code",
     79    "execution_count": 2,
     80    "metadata": {
     81     "collapsed": false,
     82     "deletable": true,
     83     "editable": true,
     84     "scrolled": false
     85    },
     86    "outputs": [
     87     {
     88      "data": {
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JGjt2rF566aUax7Bm0ZdisVj0yscHdehkoXpEh+rROwc3aC+duLg4q9TcsUux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\n",
     90       "text/plain": [
     91        "<matplotlib.figure.Figure at 0x7f74f9c0d0d0>"
     92       ]
     93      },
     94      "metadata": {},
     95      "output_type": "display_data"
     96     }
     97    ],
     98    "source": [
     99     "bushels = 15000\n",
    100     "spot_symbol = 'CORN'\n",
    101     "futures_contract = symbols('CNU16')\n",
    102     "spot_prices = get_pricing(spot_symbol, start_date = '2016-06-01', end_date = '2016-09-15', fields = 'price')\n",
    103     "futures_prices = get_pricing(futures_contract, start_date = '2016-06-01',end_date='2016-09-15', fields='price')\n",
    104     "\n",
    105     "# Sale date of corn\n",
    106     "sale_date = '2016-09-14'\n",
    107     "\n",
    108     "# Plotting\n",
    109     "plt.plot(spot_prices);\n",
    110     "plt.axvline(sale_date, linestyle='dashed', color='r', label='Sale Date')\n",
    111     "plt.legend();"
    112    ]
    113   },
    114   {
    115    "cell_type": "code",
    116    "execution_count": 3,
    117    "metadata": {
    118     "collapsed": false,
    119     "deletable": true,
    120     "editable": true
    121    },
    122    "outputs": [
    123     {
    124      "name": "stdout",
    125      "output_type": "stream",
    126      "text": [
    127       "profits from market price: $ 46375.0\n"
    128      ]
    129     }
    130    ],
    131    "source": [
    132     "p = spot_prices.loc[sale_date]\n",
    133     "\n",
    134     "market_profits = p * (bushels//6)\n",
    135     "\n",
    136     "print 'profits from market price: $', market_profits"
    137    ]
    138   },
    139   {
    140    "cell_type": "code",
    141    "execution_count": 4,
    142    "metadata": {
    143     "collapsed": false,
    144     "deletable": true,
    145     "editable": true
    146    },
    147    "outputs": [
    148     {
    149      "name": "stdout",
    150      "output_type": "stream",
    151      "text": [
    152       "profits from future contract: $ 62287.5\n"
    153      ]
    154     }
    155    ],
    156    "source": [
    157     "futures_entry_date = '2016-06-01'\n",
    158     "\n",
    159     "futures_profits = futures_prices.loc[futures_entry_date] * bushels\n",
    160     "print 'profits from future contract: $', futures_profits"
    161    ]
    162   },
    163   {
    164    "cell_type": "markdown",
    165    "metadata": {
    166     "deletable": true,
    167     "editable": true
    168    },
    169    "source": [
    170     "We can clearly see that it would have been wiser for the farmer to sell his corn using a futures contract to lock in the price in June. Let's calculate the lost profit:"
    171    ]
    172   },
    173   {
    174    "cell_type": "code",
    175    "execution_count": 5,
    176    "metadata": {
    177     "collapsed": false,
    178     "deletable": true,
    179     "editable": true
    180    },
    181    "outputs": [
    182     {
    183      "name": "stdout",
    184      "output_type": "stream",
    185      "text": [
    186       "Profits the producer lost in a year: $ 15912\n"
    187      ]
    188     }
    189    ],
    190    "source": [
    191     "lost_profits = futures_profits - market_profits\n",
    192     "print 'Profits the producer lost in a year: $', int(lost_profits)"
    193    ]
    194   },
    195   {
    196    "cell_type": "markdown",
    197    "metadata": {
    198     "deletable": true,
    199     "editable": true
    200    },
    201    "source": [
    202     "----"
    203    ]
    204   },
    205   {
    206    "cell_type": "markdown",
    207    "metadata": {
    208     "collapsed": true,
    209     "deletable": true,
    210     "editable": true
    211    },
    212    "source": [
    213     "# Exercise 2: Carrying Costs\n",
    214     "\n",
    215     "## a. Contango\n",
    216     "\n",
    217     "Consider the same corn farmer from Exercise 1. \n",
    218     "\n",
    219     "Calculate the theoretical futures price series as a function of time, given the following:\n",
    220     "- The cost of carry is $0.01$\n",
    221     "- The spot price of corn was originally 1000 dollars, and that the price is driven by a normal distribution\n",
    222     "- Maturity is achieved after 100 days\n",
    223     "\n",
    224     "$$\\text{Recall:}  \\quad   F(t, T) = S(t)e^{c(T - t)}$$\n"
    225    ]
    226   },
    227   {
    228    "cell_type": "code",
    229    "execution_count": 6,
    230    "metadata": {
    231     "collapsed": false,
    232     "deletable": true,
    233     "editable": true
    234    },
    235    "outputs": [
    236     {
    237      "data": {
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zsee9NPNpzJKklXy/51cA9mcnsz8nmdhGUQR5BDii7EsSHdKWl+MmEeDux2fb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\nP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+nq6uLBBx8kKSmJe+65hxUrVhAWFsbll1+OyWTizjvv5MYbb8RoNPKLX/wCT8/+X8VC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\n",
    239       "text/plain": [
    240        "<matplotlib.figure.Figure at 0x7f74f9c51410>"
    241       ]
    242      },
    243      "metadata": {},
    244      "output_type": "display_data"
    245     }
    246    ],
    247    "source": [
    248     "# A toy example to show Contango\n",
    249     "N = 100 # Days to expiry of futures contract\n",
    250     "cost_of_carry = 0.01\n",
    251     "\n",
    252     "spot_price = pd.Series(np.ones(N), name = \"Spot Price\")\n",
    253     "futures_price = pd.Series(np.ones(N), name = \"Futures Price\")\n",
    254     "\n",
    255     "spot_price[0] = 1000\n",
    256     "futures_price[0] = spot_price[0]*np.exp(cost_of_carry*N)\n",
    257     "\n",
    258     "for n in range(1, N): \n",
    259     "    spot_price[n] = spot_price[n-1]*(1 + np.random.normal(0, 0.05))\n",
    260     "    futures_price[n] = spot_price[n]*np.exp(cost_of_carry*(N - n))\n",
    261     "\n",
    262     "spot_price.plot()\n",
    263     "futures_price.plot()\n",
    264     "plt.legend()\n",
    265     "\n",
    266     "plt.title('Contango')\n",
    267     "plt.xlabel('Time')\n",
    268     "plt.ylabel('Price');"
    269    ]
    270   },
    271   {
    272    "cell_type": "markdown",
    273    "metadata": {
    274     "deletable": true,
    275     "editable": true
    276    },
    277    "source": [
    278     "## b. Backwardation\n",
    279     "Consider the corn farmer again.\n",
    280     "\n",
    281     "Calculate the futures price as a function of time, given the following:\n",
    282     "\n",
    283     "- The cost of carry is -0.01\n",
    284     "- The spot price of corn was originally \\$1000, and that the price is driven by a normal distribution\n",
    285     "- Maturity is achieved after 100 days"
    286    ]
    287   },
    288   {
    289    "cell_type": "code",
    290    "execution_count": 7,
    291    "metadata": {
    292     "collapsed": false,
    293     "deletable": true,
    294     "editable": true,
    295     "scrolled": false
    296    },
    297    "outputs": [
    298     {
    299      "data": {
    300       "image/png": 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ryzlNj4hASsqtZBdWb569eM0hklLzGNWvAyP6tnfKPXtFVU/t23NY65BERKT1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\nmNgwvig8PJyqqipMJlPDdrU7a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    301       "text/plain": [
    302        "<matplotlib.figure.Figure at 0x7f74f81b68d0>"
    303       ]
    304      },
    305      "metadata": {},
    306      "output_type": "display_data"
    307     }
    308    ],
    309    "source": [
    310     "# A toy example to show Contango\n",
    311     "N = 100 # Days to expiry of futures contract\n",
    312     "cost_of_carry = -0.01\n",
    313     "\n",
    314     "spot_price = pd.Series(np.ones(N), name = \"Spot Price\")\n",
    315     "futures_price = pd.Series(np.ones(N), name = \"Futures Price\")\n",
    316     "\n",
    317     "spot_price[0] = 1000\n",
    318     "futures_price[0] = spot_price[0]*np.exp(cost_of_carry*N)\n",
    319     "\n",
    320     "for n in range(1, N): \n",
    321     "    spot_price[n] = spot_price[n-1]*(1 + np.random.normal(0, 0.05))\n",
    322     "    futures_price[n] = spot_price[n]*np.exp(cost_of_carry*(N - n))\n",
    323     "\n",
    324     "spot_price.plot()\n",
    325     "futures_price.plot()\n",
    326     "plt.legend()\n",
    327     "\n",
    328     "plt.title('Contango')\n",
    329     "plt.xlabel('Time')\n",
    330     "plt.ylabel('Price');"
    331    ]
    332   },
    333   {
    334    "cell_type": "markdown",
    335    "metadata": {},
    336    "source": [
    337     "---"
    338    ]
    339   },
    340   {
    341    "cell_type": "markdown",
    342    "metadata": {
    343     "deletable": true,
    344     "editable": true
    345    },
    346    "source": [
    347     "Congratulations on completing the Introduction to Futures exercises!\n",
    348     "\n",
    349     "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",
    350     "\n",
    351     "Start by going through the [Writing a Contest Algorithm](https://www.quantopian.com/tutorials/contest) tutorial."
    352    ]
    353   },
    354   {
    355    "cell_type": "markdown",
    356    "metadata": {
    357     "deletable": true,
    358     "editable": true
    359    },
    360    "source": [
    361     "*This presentation is for informational purposes only and does not constitute an offer to sell, a solicitation 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.*"
    362    ]
    363   }
    364  ],
    365  "metadata": {
    366   "kernelspec": {
    367    "display_name": "Python 2",
    368    "language": "python",
    369    "name": "python2"
    370   },
    371   "language_info": {
    372    "codemirror_mode": {
    373     "name": "ipython",
    374     "version": 2
    375    },
    376    "file_extension": ".py",
    377    "mimetype": "text/x-python",
    378    "name": "python",
    379    "nbconvert_exporter": "python",
    380    "pygments_lexer": "ipython2",
    381    "version": "2.7.12"
    382   }
    383  },
    384  "nbformat": 4,
    385  "nbformat_minor": 2
    386 }