ml-finance-python
python scripts for finance machine learning
git clone https://9o.is/git/ml-finance-python.git
notebook.ipynb
(86835B)
1 {
2 "cells": [
3 {
4 "cell_type": "markdown",
5 "metadata": {},
6 "source": [
7 "## Lesson 5: Futures Analysis\n",
8 "Revisiting our strategy, we can use the tools we have covered so far in order to compare our crude oil future to a future in the same supply chain, RBOB Gasoline (XB). The idea is that because Gasoline is derived from oil, the changes in contract price for one future should be reflected on the other.\n",
9 "\n",
10 "Let's import `continuous_future` and `history`, define continuous futures for both assets and get pricing data for both."
11 ]
12 },
13 {
14 "cell_type": "code",
15 "execution_count": 2,
16 "metadata": {
17 "collapsed": false
18 },
19 "outputs": [],
20 "source": [
21 "from quantopian.research.experimental import continuous_future, history\n",
22 "\n",
23 "cl_future = continuous_future('CL')\n",
24 "xb_future = continuous_future('XB')\n",
25 "\n",
26 "cl_price = history(\n",
27 " cl_future,\n",
28 " fields='price',\n",
29 " frequency='daily',\n",
30 " start='2014-01-01', \n",
31 " end='2015-01-01'\n",
32 ")\n",
33 "\n",
34 "xb_price = history(\n",
35 " xb_future,\n",
36 " fields='price',\n",
37 " frequency='daily',\n",
38 " start='2014-01-01',\n",
39 " end='2015-01-01',\n",
40 "\n",
41 ")"
42 ]
43 },
44 {
45 "cell_type": "markdown",
46 "metadata": {},
47 "source": [
48 "Now, contracts for these futures have different multipliers. Light Sweet Crude Oil has a multiplier of 1,000 barrels per contract, while RBOB Gasoline Futures has a multiplier of 42,000 gallons per contract. In order for the prices to have the same scale, we need to adjust one of them by the ratio of their multipliers. For example, we can adjust XB's price by multiplying it by 42.\n",
49 "\n",
50 "With that in mind, let's plot the price history for both continuous futures:"
51 ]
52 },
53 {
54 "cell_type": "code",
55 "execution_count": 3,
56 "metadata": {
57 "collapsed": false
58 },
59 "outputs": [
60 {
61 "data": {
62 "image/png": 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zeixmMTBFuIfw6oLHeGb2g4zziUKpUHK4rSCJ0WjkXwe/IqE4mbE+UdwYebmp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J7sMgrL6hmeGExaUgg/XTAeH08zr6/M4r9/v5q1Gcew2ewArM04RktrB9dOisdkNGAwGJg7KR6b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\ng42NDRs2bGDixImihV1eXo6xsTHz589n9OjRz5wf8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63 "text/plain": [
64 "<matplotlib.figure.Figure at 0x7fea608f5cd0>"
65 ]
66 },
67 "metadata": {},
68 "output_type": "display_data"
69 }
70 ],
71 "source": [
72 "cl_price.plot()\n",
73 "xb_price.multiply(42).plot();"
74 ]
75 },
76 {
77 "cell_type": "markdown",
78 "metadata": {},
79 "source": [
80 "We can see in our plot that both prices follow a similar trend, so our strategy probably has some validity based on historical data.\n",
81 "\n",
82 "As it turns out, this trend can be explained by a statistical property called [Cointegration](https://en.wikipedia.org/wiki/Cointegration). Essentially, if two time series are cointegrated, there is an equilibrium relationship between them in the long run, even if they seem to diverge substantially from that equilibrium in the short term. [Pairs Trading](https://en.wikipedia.org/wiki/Pairs_trade) strategies take advantage of this trend by shorting one future in the pair and going long on the other as the spread increases or decreases, with the expectation that the spread will return to its state of equilibrium.\n",
83 "\n",
84 "We can do a quick test for cointegration using the [coint](http://www.statsmodels.org/devel/generated/statsmodels.tsa.stattools.coint.html#statsmodels.tsa.stattools.coint) function from Python's [statsmodels](http://www.statsmodels.org/stable/) library. If the second value of coint's output (pvalue) is small, this means the input time series are cointegrated."
85 ]
86 },
87 {
88 "cell_type": "code",
89 "execution_count": 4,
90 "metadata": {
91 "collapsed": false
92 },
93 "outputs": [
94 {
95 "data": {
96 "text/plain": [
97 "0.039200303816570421"
98 ]
99 },
100 "execution_count": 4,
101 "metadata": {},
102 "output_type": "execute_result"
103 }
104 ],
105 "source": [
106 "import statsmodels.api as sm\n",
107 "import statsmodels.tsa as tsa\n",
108 "\n",
109 "tsa.stattools.coint(cl_price, xb_price)[1]"
110 ]
111 },
112 {
113 "cell_type": "markdown",
114 "metadata": {},
115 "source": [
116 "Cointegration is covered in depth in our Integration, Cointegration, and Stationarity lecture. You can find it in our [Lecture Series](https://quanto-playground.herokuapp.com/lectures) page.\n",
117 "\n",
118 "Now that we have some evidence that our idea might be valid, let's build an algorithm that takes advantage of the relationship we discovered between crude oil and gasoline. The rest of the tutorial will cover the algorithm API and the Interactive Development Environment (IDE). We will start by looking at the core functions available in the platform, and backtesting a simply example."
119 ]
120 }
121 ],
122 "metadata": {
123 "kernelspec": {
124 "display_name": "Python 2",
125 "language": "python",
126 "name": "python2"
127 },
128 "language_info": {
129 "codemirror_mode": {
130 "name": "ipython",
131 "version": 2
132 },
133 "file_extension": ".py",
134 "mimetype": "text/x-python",
135 "name": "python",
136 "nbconvert_exporter": "python",
137 "pygments_lexer": "ipython2",
138 "version": "2.7.12"
139 }
140 },
141 "nbformat": 4,
142 "nbformat_minor": 2
143 }