ml-finance-python
python scripts for finance machine learning
git clone https://9o.is/git/ml-finance-python.git
Vanderbei.ipynb
(565576B)
1 {
2 "cells": [
3 {
4 "cell_type": "markdown",
5 "metadata": {},
6 "source": [
7 "#Portfolio Optimization with Linear Programming\n",
8 "By Thomas Wiecki\n",
9 "\n",
10 "Notebook released under the Creative Commons Attribution 4.0 License.\n",
11 "\n",
12 "---\n",
13 "\n",
14 "\n",
15 "## Introduction\n",
16 "Given a set of securities that we're considering including in our portfolio, we'd like to pick a combination of them which maximizes returns while minimizing risk. In this notebook, we'll be using an alternative definition of risk (that is, not standard deviation) which allows us to formulate portfolio optimization as a linear program, according to the method developed by Professor Robert Vanderbei.\n",
17 "\n",
18 "As usual, let's start by importing a few modules which we need later. We'll use the LP solver in `cvxopt` to find the return-maximizing portfolio subject to some linear inequalities.\n",
19 "\n",
20 "## Simulations"
21 ]
22 },
23 {
24 "cell_type": "code",
25 "execution_count": 355,
26 "metadata": {
27 "collapsed": false
28 },
29 "outputs": [],
30 "source": [
31 "import numpy as np\n",
32 "import matplotlib.pyplot as plt\n",
33 "import cvxopt as opt\n",
34 "from cvxopt import blas, solvers, matrix\n",
35 "import pandas as pd\n",
36 "\n",
37 "np.random.seed(123)\n",
38 "\n",
39 "# Turn off progress printing \n",
40 "solvers.options['show_progress'] = False"
41 ]
42 },
43 {
44 "cell_type": "markdown",
45 "metadata": {},
46 "source": [
47 "Assume that we have 4 assets, each with a return series of length 1000. We can use `numpy.random.randn` to sample returns from a normal distribution."
48 ]
49 },
50 {
51 "cell_type": "code",
52 "execution_count": 228,
53 "metadata": {
54 "collapsed": false
55 },
56 "outputs": [],
57 "source": [
58 "## NUMBER OF ASSETS\n",
59 "n_assets = 4\n",
60 "\n",
61 "## NUMBER OF OBSERVATIONS\n",
62 "n_obs = 1000\n",
63 "\n",
64 "return_vec = np.random.randn(n_assets, n_obs)"
65 ]
66 },
67 {
68 "cell_type": "code",
69 "execution_count": 229,
70 "metadata": {
71 "collapsed": false
72 },
73 "outputs": [
74 {
75 "data": {
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AKrh3Ke0N+06wVg0rbRXOqvcorW+dchyGs6MOapeb5zDj2hpKS3HmwAAzNiJSToXLOuJ1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GjVKCTkFzaKgOmlPXGuUDLelaOK8kdXOm0DqhRT9G+q1V7+7v7/9D4L/7Edr++8Af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/oCdsN0WCbjXy4/xXbZ4fJsmT6fnyzw6Y26VL7CayQjnhs/eTxBL5Wm04skFz3Afu7mFZQf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\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p3LoVvqrjjFfXVq9h91N7xeTc9DrOtNcSlsRwbO58iG5nA4Wijlu3rmUad+PjDZTvBv1m\nXQ8ZW7a39vAd8Rnef7WB4nQNp2sLWH5pj6dRfabTXhY/9zmIwzt4tfMhvvylN3BqpdUv5zRjRVZ0\n3ngDQtOCThl8Y2j/PeLaSu+5y9eWUIkao4dk4+UOtvX7AIL9pVOuDuenz2C9HT/3cNrWrVun+4JS\n9cOnqNx/AUMX0v7WSevCzBmcbq0O2ueVRbSb8jHyZXMKr0olQGjx5RnC8sJzdDpdrJxqRYbLUsEw\nSq93Pw7gLwD4IcuyduLC50rf9E7BG8wIzK0ANdOmtGYNspjfvb6CVzv7QwlJaVhYysERwohcCk69\nfhV7T56gNB8+kUnKuJreHRWy1z9/aR6HB53UZmBJyHszctLv2+21+pNQLY7kFYfau+Dao5RhnzO/\n1MDWqz0sr07h4NBn7jRBH35vZgb7e8/QuaQo5CZ4t8jxUQgIIXB2QcPSjXAl50khfI+SHMcauqBr\nAA5RrpWBly97e4/Cab52yXN4dK2s5aZkSkPcGWZZeKWbNFJNdX01J+/t0Uur4SvoeTHKPUr/DYAi\ngG+YpgkA/59lWf+B2qN57TkZYdpZxpxBA69VCpl4ZOnHPUI71tzSjulJNMNAeSHbjbvjerD5SL+v\nEOmFJNWzWMbUDvu4OO0YCb3C82xgFhrma7MohqxORJHCOaoShqHj/CVb2fLi+XaGMedLrVJAo+oq\nR03D1sIMUFLUtic5WzAyrH2vVBiinzhGhPZlYWXYayczU2XUFzTMnT2FSq2J8lL0WVDVU5Ozwi3H\nLo/5H/7K8I6ZJoRhhLxrF+Zw99EmWv5zuI4Bo/R6J7GvGS2h2uIU3owyn1blOk8Tvf+P52RwXMlf\nc5Q+/uPbsefkyeWIkw0j/QGuk9t2lfudo9DUagIz1WiTjlBSaGOTJzE53/nd665zyoY6Q2k4qwbP\n6t6EaPtHsV8/dEWp96+mCTRrRQghUD9/Ll3aqZ4aDX0nXxIz2xNBQgcoS7M1LCmb+0/W/GRcvN4l\nInOvd4Ef6ROvFMrY3t+BHrKxdJzJdeI/wh7yOB1pMq7nUEyqYObU+UKrnSh8XhRLBtbW26g1kmnl\nxrRahDIOtUWehyG83nmXOFLHkyjNmPuVWhE7OwcolY92qM9SoNMM+Vjqcesek5thGG3Tyr6lJD1H\nKdOufdI6qnEkwfcYqrjHoZMeEyZSUEqCSiN3KlMWTfjzq7dw0DlIflghAC1CuMpTk5jl+48lMb1F\n6oFgBGfq5HUm1LB0h+1VRziALnz9a7GnrDu5O4pszuexT2/MSCNY56bvSHrSvUIlGJf54Kmz06g3\ny5idj3ekkyeloo56pYByoar8jPNdhB4yTfGYOkbtUVJOcnzIU2cZajijKClNYnmmYFza8LiTRHlo\n1O0Vp+L0dF7ZyYVjLyglQe2Dx+xL0TQUtXRLtafm22juXsbnjti213Vu+ZGme3TktQ/l6MtrXL9Q\nZitKsfHkoGGNEZI8YTNPfTgmdSVvHLJ9/eIcvvPhU5xdcW0OHtLMqx9NTrMsv0Iirs8yDB3zi41c\n8iIj7LsKIXDl7CzuvTyQB5DFdWh7eRXDOhRyfdN032WErT6HdhK6ohQS3tnXpRvDl4MTw3Slja39\nrciwo2fcevujJY8+ury4CKHpKE6rWXCMCxSUMBhsMpCThuLahTkAclfmR9Fk8zTrGvVm/3zizSXa\nSNLvYcmXoVeUVNMZ0QR73LWLY569bMj4JduNMr74htcL2riu2J5EnMNjw1aUvAfOhseTpu2Gncl0\nHAhdUQqp++VKARcvL+Dx/TsZJG7/c3P56vBx5Uxancm4jxVJiXufJHM7IQTKC9l5AT4qJlJQSlYP\n1WdWaluUjlkrOAnkZ7OTU8RB3r66iM2to3fXrkqtUEVJL2F1amnUWcmXMWv//d5tzPKVhPHKuopZ\nXXwYyltBkn7nbs+1tAjZo6RMAjP4d9Zu4tnOC1SLleHSHGPSKEQbU2Xoj3sK5ZOhlhnb9xyDxfgT\nx0QKSpnj7NEJG908HcuIGk+iMyXSJnE8V5TyI+d3cn2PdqOsdAbFyukW7t55hmaGB/Y67ALN8wAA\nFm1JREFUXLq6GNpGNE3Du+ufyzzNcaG/6jzifASY0FFzXE0Gs1pROrkKtey+68D0zisoOcoirzOH\nbMq7XqyhXsz4oO4UHMWeZABYW2jgkwcvc0srkPaRpZQBE5XZEXICymkyBaW8TKlGmPYo6W+aPYbv\nBuQ46IxhcS0uT2FxOZ8D2ZJ6YsuDkU2wHWXKGH5zYCyrYiRpvuKR9E9DpDESZdCYVsgsvlXnwCso\nvXt9Bc83dxOf7ydSOFbyPD+eRZwa97c5vTgQlFRfc6h6PkGFOUxPMC4cTwX10TOZgpICSdpj3+ub\n0qns6fJzJAw5icy1UY1zuaVknM9ROq4cV2E+Lc7esIkrlvFcUBrOmcPEfYSjxTu+xFeA7qHX9C5w\nCLp7i5LyeWj8RgrHRRKABdIjyz1Kk8qxFZSSEOfM4bhPzsbWrCgrjtNBSieUi5cX8OL5NsoJtclZ\nkUiZQmIZWzlpwj7vhGU3EQPTuyGnKZP2UXPG6wRDoFjQsbd/mOpIk8RpT9CnmKCs9nGOmOl0D4eO\n66gcNE0CEyko5TftHbHbuxEjMnKNK417pCfO5hXv8a0L40ZjqoxGDvuuVKmWCygYGgrGeDnTcBaR\nT4JW70g4gskiUSNsj5KDap33KDdS9NnHrW15igPAl2+sYG//EDo9kHhJWRx5TwuizM+/cuYdAMBv\n/+D/SRTn195aQyelXHQSas1ECkpqJLG9U3/kWGqUhecfogot704M51dbOLM8xclERoytM4eI/r3Q\namP/2UaoMMWaEaeFTur2rmdWmuCcM3myw32ZUWrW82gmbq93QtjOMcbVm+ooSTrXW1qdwpNHmygU\n8nUtXynZ0/ZmLXhep5ZS2V0Y1rPkMecYC0o2SToapTnQMRwNp8stzFZn0Co3R52VCeMYVoaRMf5l\nOZZCktO/jWHW8uDS1UUYhRwndRGTo5m330L38HCslGXHbbVDhhYyiVN+8zH6XqrkmuUh4x5GcByn\nthNH0qwur7WwvNbKJzMuquUCvnR9BZVivsLNmOqyRsJEqhGybmuDBSWlJaVsE8+QtPW6Wqzg+tJl\nlAv5mTaNstSUJxOKwZpXrsBoNFBs5eNdjhBVJtWOPO0gXGuUUCrnuE8tpn+PXN2YyNH06Eg6dLau\nX4dRr6O8FHI2m2KEwrOCQtO7YQ+Wn9Q+5zhRrxSgH9kq4PGq/2k49itKiQirD2MsHEkZx/yOMk8Z\nJ11dXUF1dSXbSCVMkvaNjJZJqypu07txqufjlBcp/jnqmGd3GMoL8ygvzI86G8cO75atY1yBhoRl\nQxyoA8OgQahpWth4CCHjwaQ6cxhbnfSkOXMYs4LUe163CnGe6rTJ2RNx3FZQPCtsaSIYojgoexw/\njlfrkDORK0q5SfoKK0qjauiGZnj+JRlyElr6mNO6fg0vvvMdVNbWRp2ViWJiq+6YZpxa5OE4017D\nfucAZ1rBduwW5ovTbdTW11FeXEid1qQpB8YFTxU/8iKcnG/GrsCG5TChglJeKK0ojajWGJqOd1Zv\nomQEPZ1MAqN1Dz6pLX1S852c0uwM5r787qizMblMcFUZt6xXVldRaNQTP8eJO1DQC7gyfzE2nBAC\nDTM+XGQcQz2dJJ3j9V21IfdsHbcVtnCO13cn6Tm2glKS9p+srxhd46mXaiNLmxAyhvRN7yYLZ7I1\njjqMqSuXR50FctIZw3aRBePY3sOYpLySfJkwg2x1jJ4veyPBAZFhK0reA+uGytaJZZTFFqv/Gtdv\nOq75IiQzjk8lH8WbnBztvoQjmsmOooyduUgeW+Y01zEHaU48OCk1joIScZjYFaWl2Zr0wC2H02en\ncf/uCyytxrtwdpbW1Szv2HoIIeOBM5EayzOeIij1FFnNWo6uvgmZUJZma3j42UsszGZvRTJZPcUI\nOeFzvXE9FHwUTKygdO3CXOT9QtHA2pnpZJEek3ZxTF4jM2LLg/0BmVDM09PodADzdHvUWUnE6nwD\n3S6wOFvD85e7o87OxMC5y4DjvEepYOhYW2jkclaOGNabwxCVcJJkjwnKaq7ElcNJWNU+tqZ3SXAa\n76S7B19asVfP2jPVEedEwiT1kIRMCJWSgZuX5lGrTNbKjKYJnF5q9leWyPGH1hjjgfccpeTPDzUx\nnqQ6MEFZJfkysStKmZKkQYxx45lfamJ2oeGxQR4Xxi9HE8AkDSqEpOW4VHO21yPluHmjk5O9tn7o\nc5ROCCejfhEVuKLkQm1BabwbzzgKSYQQQk42mU88j7EzhzzxWt6lcQ8+RNpDPHvkTFRmvZyaWgEA\nTFdaw0c25nPeo4ArShi0B7WOnJWGHBWsa4RMCkdhWiao2iRDorbFgEyyqejF2bM42z4FQ08/xT9e\n6oHhoKDkYoLbxdjDZWxCiAz2Deo0mmW0Z6poVydrT9okM9r6mX3aQ592MoxHETb1I2MYIYl4oX4K\nA82BigZB0LRt4nA2uk/VSyPOCSGEpEcIgbMX51Cq20P3Sdb6JhmJq2trKM7M5JaXrFlYbqLeLOH8\na/OZx+3Zo8RzlEKh4pw4UOR0wYaRIyMs3HLRwKXT09D1yfrArI+EECInyUpP8/JrqdMZxR6lQkGH\neWUxl7i9ghIHmTBYNsSBgpILpYbBxjORTJqQRAiZLE6Kpj0tnHiOB/wK0Zwz57C9tT/qbIwedmh9\nKChhIPuwA8kPli0hhJDMOKJB5bjtoRtWXj1uXgD9tKaraE2POhfjQ2x1Od7VAQD3KHlQW1A6Xp0m\nGeOOn3WNnACqZVtf16gVR5wTQo4/w85hdLpeJCcMrihhoDGi6V1+TIJWjp+WkKOnVingi9eWUSlN\n+HA0pvqWcSHr7vWoxpSxVaQdMe+s3sS9lw8wX5tN/OzCchN37wnoOoWsSYPzIgpKhBBCRkyjOvmr\nSV16RCXHmHqphouls6meXT3dxoPHVVrkTBBUEAygoORC40BHxgkOKoRMDMZUC4ezi+i2k2vcUzPM\nmTYTzlFNuifBGoIQkh8UlIC+TYBSd8jJazpYbMk5wZMgQiYOIdBZPTPqXBBCCMkQGoxiMIdXOnCW\nghIhhBAfXSo2YpjMsZMmSISEcxLaBwUlF5SB8oPmC4QQQggh4w/1PgMoKIGrRIQQQkiecJwlZPKg\nkpuCkgdNpSPXWGTkiKBKh5CJodMZdQ5IHnCiSMjJhs4cMDC5o8Yre24sXcWrvS2WLSHkWNNq2C7O\nzyw3R5wTkiUnYQ8GISQcCkoAFmdq2D/ooN0sxYblhD8ZM9U2Zqrt0WaCn4wQkjMFQ8ePvXP6SMeI\nSZrEsxseH750bRmHncmpO2SEsOFSUAKASsnAxVMjnsyT/JjQ8YCWd4RMFlSkkUmgfgwOeCY5w/lH\nHwpKhBBCCMmZ7IXIK/MmSnq+k37uUSIkyGtzF/DdR+9jrjYz6qzkDgUlcvyZ0HFOaBOacUIIOQKW\nGvO5pzFJ5o2EHBUrzUWsNBdHnY0jgYISOf5M6Dinl8uora+jOE2zUEIIIYQcDVQQDKCgREiPcTSx\naJgXR50FQsiYwqkMISRPuO2S5yiRE4BeKff+rYw4J4QQQiaJcVSgEUKOjpGsKJmm+Z8D+EnYCrEn\nAP60ZVmfjCIv5PhTaDbRvnkThSmeb0IImXzM2XN4/8lHmKm0Rp2VBEzm+hdNkAg52YxqRemvWJZ1\nzbKs6wB+E8B/OqJ8kBNCaW4WWpEuUQkhk8/a1DK+evYLKOiFUWeFEEKONSMRlCzLeun6sw7g8Sjy\nQQjA84oIIYQQQvzQ9HSEzhxM0/zLAH4GwBaAd0aVD0IIIYQQQogNFcgDRDen0jBN8xsAZE7Wf8Wy\nrN9yhfslAKZlWT8XFd/t27dH+tkObn8LAGDcujHKbJAc+OCzHWy8OkClqOHKqeqos0MIIceOB7tP\n8NnOIwDA9alLI85NPN9+/h4AYLk8h/nS8T9UkxA3x2FedOvWrUyWw3JbUbIs60cUg/5DAP9EJeCt\nW7fSZ2hI7j9+AgBYHGEeSD5o1kM8eLqFRrWIW9eWAQC3b98eaX0jJw/WOXKUHHV9+2jjExSf2p5H\nb50b/3q+8cEWAODCzBmcbq2OODeTD/u3yUJYD/HQNy+aJG7fvp1ZXCPZo2Sa5gXXnz8F4FujyAch\nhBBC8oeWPIRMINyiNLI9Sr9qmqYJ4BDABwD+zIjyQQghhBBCCCEBRiIoWZb1b44i3WFoXb/G3W2E\nEEIIIYScEEbm9W7SKC8sjDoLhBBCCCGEkCNiVAfOEkIIIYQQQsYUblGioEQINxkTQgghhDhwYtSH\nghIhDlSdEEJILuR1ZmPeCA4MhJxoKCgRQgghhEjoUrVOTiCLM/Yhsytz9RHnZPTQmQMhDhwPCSGE\nEHLCWZ6rY6ZVQamgjzorI4crSuTEQ8MKQgghhJABFJJsKCiRE4+uC8+/hBBCCCGE0PSOnHgunmqj\n0+ni4qn2qLNCCCGEEELGBApK5MRTLhq4fnF+1NkghJBjDDeBEkImD5reEUIIIYQQQogPCkqEEEII\nIYQQ4oOCEiGEEEIIIYT4oKBECCGEEEIIIT4oKBFCCCGEEEKIDwpKhBBCCCGEEOKDghIhhBBCcoXO\nwQkhkwgFJUIIIYQcEWLUGSCEEGUoKBFCCCGEEEKIDwpKhBBCCCGEEOKDghIhhBBCCCGE+KCgRAgh\nhBBCCCE+KCgRQggh5EigKwdCyCRBQYkQQgghhBBCfFBQIoQQQkiudLs8SYkQMnlQUCKEEEIIIYQQ\nHxSUCCGEEEIIIcQHBSVCCCGEEBcFrQAAMDRjxDkhhIwS9gCEEEIIIS7eXHkD914+wFJjftRZIYSM\nEApKhBBCCCEuasUqLsycGXU2CCEjhqZ3hBBCCDkShOBJSoSQyYGCEiGEEEIIIYT4oKBECCGEEEII\nIT4oKBFCCCGEEEKIDwpKhBBCCDkiuEeJEDI5UFAihBBCSK500R11FgghJDEUlAghhBBCCCHEBwUl\nQgghhBBCCPFBQYkQQgghhBBCfFBQIoQQQkiuFPUCAKBWrIw4J4QQoo4x6gwQQggh5Hiz1lxGp9vF\nUmN+1FkhhBBlKCgRQgghJFc0TcOZ9tqos0EIIYmg6R0hhBBCCCGE+KCgRAghhBBCCCE+KCgRQggh\nhBBCiA8KSoQQQgghhBDig4ISIYQQQgghhPgYqaBkmuafN02zY5rm9CjzQQghhBBCCCFuRiYomaa5\nBuBHANwZVR4IIYQQQgghRMYoV5T+KwC/OML0CSGEEEIIIUTKSAQl0zR/CsCnlmX9wSjSJ4QQQggh\nhJAojLwiNk3zGwAWJbf+IoBfBvCjrmtCJc7bt29nkDNC1GB9I0cN6xw5SljfyFHC+kYmEdHtdo80\nQdM0rwL4vwBs9S6tArgL4HOWZT080swQQgghhBBCiIQjF5T8mKb5IYBblmU9HWlGCCGEEEIIIaTH\nOJyjNFpJjRBCCCGEEEJ8jHxFiRBCCCGEEELGjXFYUSKEEEIIIYSQsYKCEiGEEEIIIYT4oKBECCGE\nEEIIIT5yO0cpS0zT/HEAfwOADuBvW5b1X444S2TCMU1zDcCvA5iH7VDkv7cs69dM05wG8D8DOA3g\nIwB/0rKsZ71nfhnAzwM4BPDnLMv6p6PIO5lcTNPUAfxL2Adu/2usbyQvTNNsAfjbAK7A7uN+DsD7\nYH0jOdCrP38KQAfAH8KubzWwvpGMME3z7wL4VwE8tCzr9d61xGOoaZq3APyPAMoA/ollWb8Qle7Y\nryj1Jhb/LYAfB3AZwL9tmuZro80VOQbsA/iPLMu6AuAdAH+2V69+CcA3LMu6CPu8r18CANM0LwP4\nt2DXwR8H8LdM0xz79kPGjl8A8B0MvH2yvpG8+K9hTwJeA/AGgPfA+kZywDTNdQD/PoCbvQmsDuCn\nwfpGsuXvwa4vbpLUMdF75r8D8O9alnUBwIXeYkwok1AxPwfg+5ZlfWRZ1j6A/wnAT404T2TCsSzr\nvmVZ3+793gTwXQArAH4SwN/vBfv7AP713u+fAvAblmXtW5b1EYDvw66bhChhmuYqgJ+AreV3OmzW\nN5I5pmlOAXjXsqy/CwCWZR1YlvUcrG8kH17AVj5WTdM0AFQB3APrG8kQy7J+F8CG73KSOva2aZpL\nABqWZf2LXrhfdz0jZRIEpRUAn7j+/rR3jZBM6GnDbgD45wAWLMt60Lv1AMBC7/cy7LrnwHpIkvLX\nAfwF2KYpDqxvJA/OAHhkmubfM03zm6Zp/g+madbA+kZywLKspwD+GoCPYQtIzyzL+gZY30j+JK1j\n/ut3EVP3JkFQ4kFPJDdM06wD+N8A/IJlWS/d9yzL6iK6/rFuEiVM0/wTsO2qv4XBapIH1jeSIQaA\nmwD+lmVZNwG8Qs8kxYH1jWSFaZrnAPyHANZhT0Trpmn+KXcY1jeSNwp1LBWTICjdBbDm+nsNXmmQ\nkFSYplmALST9A8uyfrN3+YFpmou9+0sAHvau++vhau8aISp8AcBPmqb5IYDfAPBV0zT/AVjfSD58\nCtthyO/1/v5fYQtO91nfSA68CeD/tSzriWVZBwD+EYDPg/WN5E+SMfTT3vVV3/XIujcJgtK/hL3Z\nat00zSLszVn/eMR5IhNOb1Pf3wHwHcuy/obr1j8G8LO93z8L4Ddd13/aNM2iaZpnAFwA8C9AiAKW\nZf2KZVlrlmWdgb3J+bcty/oZsL6RHLAs6z6AT0zTvNi79HUAfwzgt8D6RrLnPQDvmKZZ6Y2tX4ft\ntIb1jeRNojG01ze+ME3z7V5d/RnXM1JEtzv+q52maf4rGLgH/zuWZf3qiLNEJhzTNL8E4HcA/AEG\nS7W/DLuz/l8AnELQ1eSvwHY1eQDbVO//POJsk2OAaZo/BODPW5b1kz3XpqxvJHNM07wG23FIEcAH\nsN0162B9IzlgmuYvwp6odgB8E8C/B6AB1jeSEaZp/gaAHwIwC3s/0n8C4H9Hwjrmcg9ege0Z9M9F\npTsRghIhhBBCCCGEHCWTYHpHCCGEEEIIIUcKBSVCCCGEEEII8UFBiRBCCCGEEEJ8UFAihBBCCCGE\nEB8UlAghhBBCCCHEBwUlQgghhBBCCPFBQYkQQshYYZrmXzJN0+j9/s9M0/yTo84TIYSQkwfPUSKE\nEDJWmKbZAdCwLOvVqPNCCCHk5EJBiRBCyNhgmubfBPBnAPwhgA7s09b/mWVZf9M0zb8E4BKABoCL\nAL4F4K8A+KsA1gD8I8uyfrEXzxKAX4N9YnsFwG9YlvWrR/oyhBBCJhqa3hFCCBkbLMv6s72fn7cs\n6waAZwDcGr2bAH4agAlbWPrLAH4UwBsAftY0zXO9cL8O4Ncsy3obwJsAfsI0za8fwSsQQgg5Jhij\nzgAhhBCSgP/DsqyXAGCa5h8A+LZlWfsA9k3TtACcM03zPoCvAJg1TdN5rg57NeqfHX2WCSGETCIU\nlAghhEwKXQC7rr8PJX8bsK0lOgDetCzr8OiyRwgh5DhB0ztCCCHjxksArd5v0fsPrn8j6a04/S6A\nX3aumaa5ZprmQpaZJIQQcrzhihIhhJBx468B+G3TNLcBfIjBHqUuvPuVIPnb4d8B8Nd75nkA8ALA\nzwN4kHFeCSGEHFPo9Y4QQgghhBBCfND0jhBCCCGEEEJ8UFAihBBCCCGEEB8UlAghhBBCCCHEBwUl\nQgghhBBCCPFBQYkQQgghhBBCfFBQIoQQQgghhBAfFJQIIYQQQgghxMf/D673c9KDfG9YAAAAAElF\nTkSuQmCC\n",
77 "text/plain": [
78 "<matplotlib.figure.Figure at 0x7f545becc8d0>"
79 ]
80 },
81 "metadata": {},
82 "output_type": "display_data"
83 }
84 ],
85 "source": [
86 "plt.plot(return_vec.T, alpha=.4);\n",
87 "plt.xlabel('time');\n",
88 "plt.ylabel('returns');"
89 ]
90 },
91 {
92 "cell_type": "markdown",
93 "metadata": {},
94 "source": [
95 "We can create different portfolios by including more or less of each asset. We will give the assets weights to represent the composition of our portfolio. The weights for all the assets must sum to one. To generate a random portfolio, we need to generate random weights:"
96 ]
97 },
98 {
99 "cell_type": "code",
100 "execution_count": 289,
101 "metadata": {
102 "collapsed": false
103 },
104 "outputs": [
105 {
106 "name": "stdout",
107 "output_type": "stream",
108 "text": [
109 "[ 0.39554701 0.16250763 0.12883616 0.3131092 ]\n",
110 "[ 0.25620569 0.15066985 0.34925393 0.24387053]\n"
111 ]
112 }
113 ],
114 "source": [
115 "def rand_weights(n):\n",
116 " ''' Produces n random weights that sum to 1 '''\n",
117 " k = np.random.rand(n)\n",
118 " return k / sum(k)\n",
119 "\n",
120 "print rand_weights(n_assets)\n",
121 "print rand_weights(n_assets)"
122 ]
123 },
124 {
125 "cell_type": "markdown",
126 "metadata": {},
127 "source": [
128 "In order to compare risks and returns across different possible portfolios, we'll generate random ones and compute the mean return and the average absolute deviation for each. Unlike in the standard deviation picture of volatility, where we square the difference between the mean return and the actual return, here we are taking the absolute value of that difference. This will allow us to have only linear constraints on what our portfolio can be, and no quadratic ones."
129 ]
130 },
131 {
132 "cell_type": "code",
133 "execution_count": 290,
134 "metadata": {
135 "collapsed": false
136 },
137 "outputs": [],
138 "source": [
139 "def random_portfolio(returns):\n",
140 " ''' \n",
141 " Returns the mean and standard deviation of returns for a random portfolio\n",
142 " '''\n",
143 " p = np.asmatrix(np.mean(returns, axis=1))\n",
144 " w = np.asmatrix(rand_weights(returns.shape[0]))\n",
145 " wr = np.asmatrix(w*returns)\n",
146 " \n",
147 " mu = w * p.T\n",
148 " \n",
149 " dist = [abs(mu - x) for x in returns.T * w.T]\n",
150 " risk = sum(dist)/len(dist)\n",
151 " \n",
152 " \n",
153 " # This recursion reduces outliers to keep plots pretty\n",
154 " if risk > 1:\n",
155 " return random_portfolio(returns)\n",
156 " return mu, risk"
157 ]
158 },
159 {
160 "cell_type": "markdown",
161 "metadata": {},
162 "source": [
163 "The formula we are using for risk here is\n",
164 "$$\\frac{1}{T} \\sum_{t=1}^T \\lvert return(t) - \\mu \\rvert$$\n",
165 "where the return on the portfolio is the weighted sum of the returns on the included assets.\n",
166 "\n",
167 "Let's generate the mean returns and volatility for 500 random portfolios:"
168 ]
169 },
170 {
171 "cell_type": "code",
172 "execution_count": 292,
173 "metadata": {
174 "collapsed": false
175 },
176 "outputs": [],
177 "source": [
178 "n_portfolios = 500\n",
179 "means, risks = np.column_stack([\n",
180 " random_portfolio(return_vec) \n",
181 " for _ in xrange(n_portfolios)\n",
182 "])"
183 ]
184 },
185 {
186 "cell_type": "markdown",
187 "metadata": {},
188 "source": [
189 "Just like with the standard deviation formula for risk in regular Markowitz optimization, the means and returns of these portfolios form the characteristic parabolic shape called the ‘Markowitz bullet‘, whose upper boundary is called the 'efficient frontier'. The efficient frontier gives the highest possible return at a given volatility, and conversely the lowest possible volatility at a given return."
190 ]
191 },
192 {
193 "cell_type": "code",
194 "execution_count": 293,
195 "metadata": {
196 "collapsed": false
197 },
198 "outputs": [
199 {
200 "data": {
201 "image/png": 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KsmRU88oidG/eXfYgyE1V9kYPLZIsIiJSexRkiRSg2oIgd0d+YlM9Q9HDLO/q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\nb++H6ZLJQHLSO5ZlPqd2FGWmkapOldqf7Xkng6QjPf1vMnB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202 "text/plain": [
203 "<matplotlib.figure.Figure at 0x7f546020a350>"
204 ]
205 },
206 "metadata": {},
207 "output_type": "display_data"
208 }
209 ],
210 "source": [
211 "plt.plot(risks, means, 'o', markersize=5)\n",
212 "plt.xlabel('risk')\n",
213 "plt.ylabel('mean')\n",
214 "plt.title('Mean and risk of returns of randomly generated portfolios');"
215 ]
216 },
217 {
218 "cell_type": "markdown",
219 "metadata": {},
220 "source": [
221 "## Linear Markowitz optimization and the Efficient Frontier\n",
222 "\n",
223 "We can solve for the efficient frontier by using an LP solver, which finds the values for our variables that minimize a given quantity (in our case, the negative expected return) subject to some inequalities of the form linear-combination-of-variables $\\leq$ constant (our constraints are: risk is at most a given value, weights sum to 1, and weights are nonnegative). Note that there is no objectively best portfolio, only one which has the best returns for a given maximum risk tolerance, so we must specify this in the variable `maxrisk`. The function below will find the weights for the best portfolio based on the historical mean and historical risk of the assets.\n",
224 "\n",
225 "Using `solvers.lp()` takes a bit of work. Mathematically, the inequalities we are using are\n",
226 "$$risk = \\frac{1}{T} \\sum_{t=1}^T \\left| \\sum_j x_j (return_j(t) - \\mu_j) \\right| \\leq maxrisk$$\n",
227 "where $j$ runs over the different assets, $x_j$ is the weight of asset $j$, and $\\mu_j$ is the mean return of asset $j$;\n",
228 "$$\\sum_j x_j \\leq 1$$\n",
229 "$$-\\sum_j x_j \\leq -1$$\n",
230 "i.e. the sum of the weights is 1; and\n",
231 "$$x_j \\geq 0 \\, \\text{ for all } j.$$\n",
232 "Because absolute values are not allowed in a linear program, we introduce variables $y_t = \\left| \\sum_j x_j (return_j(t) - \\mu_j) \\right|$, which we relax to the pair of inequalities $-y_t \\leq \\sum_j x_j (return_j(t) - \\mu_j) \\leq y_t$. This allows $y_t$ to be larger than $\\left| \\sum_j x_j (return_j(t) - \\mu_j) \\right|$, but that's okay as we are still constrained by $\\frac{1}{T} \\sum_{t=1}^T y_t \\leq maxrisk$.\n",
233 "\n",
234 "We feed these inequalities to our solver as follows: `goal` contains the coefficients of our decision variables, the $x$s and the $y$s, in the quantity we want to maximize; `RHS` contains the constants on the right-hand sides of the inequalities; and `LHS` contains the coefficients of our decision variables on the left-hand sides the inequalities, in the format [[coeff. of var1 in eq1, coeff. of var1 in eq2, ...], [coeff. of var2 in eq2, ...], ...]."
235 ]
236 },
237 {
238 "cell_type": "code",
239 "execution_count": 302,
240 "metadata": {
241 "collapsed": false
242 },
243 "outputs": [
244 {
245 "data": {
246 "image/png": 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BTpyalCR1LGjTI1+4sqprBAAAKBeZLKDGvPZatbcd0f8YuqyodG/lyt0an1yq46e69Y2n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\n",
247 "text/plain": [
248 "<matplotlib.figure.Figure at 0x7f545b6bbe10>"
249 ]
250 },
251 "metadata": {},
252 "output_type": "display_data"
253 }
254 ],
255 "source": [
256 "def optimal_portfolio(returns, maxrisk):\n",
257 " '''\n",
258 " Returns the weights, return, and risk for the return-maximizing portfolio\n",
259 " subject to a cap on the risk.\n",
260 " '''\n",
261 " \n",
262 " returns = np.asarray(returns)\n",
263 " n = len(returns)\n",
264 " time = len(returns[0])\n",
265 " tot = time + n\n",
266 " \n",
267 " # Helper arrays will make assembling LHS easier\n",
268 " y_indic = [[-1 if j == i else 0 for j in xrange(tot)] for i in xrange(n, tot)]\n",
269 " x_indic = [[-1 if j == i else 0 for j in xrange(tot)] for i in xrange(n)]\n",
270 " means = np.mean(returns, axis=1)\n",
271 " ydef = np.asarray([[returns[i][j]-means[i] if i<n else 0 for i in xrange(tot)] for j in xrange(time)])\n",
272 " \n",
273 " # Want to maximize expected returns, which depend on weights*unweighted returns and not on dummy y_t's\n",
274 " goal = matrix((-1*means).tolist() + [0]*time)\n",
275 " \n",
276 " # Linear program coefficients\n",
277 " RHS = matrix([0]*(2*time + tot) + [maxrisk, 1, -1])\n",
278 " LHS = (matrix((ydef + y_indic).tolist() + (-1*ydef + y_indic).tolist() + x_indic + y_indic +\n",
279 " [[0 if j < n else float(1)/time for j in xrange(tot)]] +\n",
280 " [[1 if j < n else 0 for j in xrange(tot)]] + [[-1 if j < n else 0 for j in xrange(tot)]])).T\n",
281 " \n",
282 " sol = solvers.lp(goal, LHS, RHS)\n",
283 " if sol['status'] == 'primal infeasible' or sol['status'] == 'dual infeasible':\n",
284 " return None, None, None\n",
285 " \n",
286 " # Compute return and risk for the portfolio given by the solver\n",
287 " w = np.asmatrix((np.array(sol['x'][:n]))).T\n",
288 " wr = np.asmatrix(w*returns)\n",
289 " mu = w * np.asmatrix(means).T\n",
290 " dist = [abs(mu - x) for x in returns.T * w.T]\n",
291 " risk = sum(dist)/len(dist)\n",
292 " \n",
293 " return w.T, mu, risk\n",
294 "\n",
295 "# Plot for visualization\n",
296 "plt.plot(risks, means, 'o')\n",
297 "plt.ylabel('mean')\n",
298 "plt.xlabel('risk');\n",
299 " \n",
300 "for i in range(30):\n",
301 " cap = .525 - .005*i\n",
302 " _, mean, risk = optimal_portfolio(return_vec, cap)\n",
303 " if mean:\n",
304 " plt.plot(risk, mean, 'y-o');\n",
305 " else:\n",
306 " print 'No portfolio with risk cap ' + str(cap) + ' was found.'\n",
307 " break"
308 ]
309 },
310 {
311 "cell_type": "markdown",
312 "metadata": {},
313 "source": [
314 "In yellow you can see the optimal portfolios for each of the desired risks. We also can find out the weights necessary to achieve these portfolios; for instance, here are the weights for the optimal portfolio of the ones whose risk is at most 0.38:"
315 ]
316 },
317 {
318 "cell_type": "code",
319 "execution_count": 301,
320 "metadata": {
321 "collapsed": false
322 },
323 "outputs": [
324 {
325 "name": "stdout",
326 "output_type": "stream",
327 "text": [
328 "[[ 0.01607007]\n",
329 " [ 0.23034698]\n",
330 " [ 0.24786915]\n",
331 " [ 0.5057138 ]]\n"
332 ]
333 }
334 ],
335 "source": [
336 "print weights"
337 ]
338 },
339 {
340 "cell_type": "markdown",
341 "metadata": {},
342 "source": [
343 "## Backtesting on real market data\n",
344 "Now that we see how linear portfolio optimization works, we can create an algorithm in [`zipline`](http://github.com/quantopian/zipline) -- the open-source backtester that powers [Quantopian](https://www.quantopian.com) -- which uses this optimization to rebalance an actual portfolio day by day.\n",
345 "\n",
346 "First we load some historical data using `get_pricing()`."
347 ]
348 },
349 {
350 "cell_type": "code",
351 "execution_count": 369,
352 "metadata": {
353 "collapsed": false
354 },
355 "outputs": [],
356 "source": [
357 "assets = ['XLU', 'XLB', 'XLI', 'XLV', 'XLF', 'XLE', 'MDY', 'XLK', 'XLY', 'XLP', 'QQQ', 'SPY']\n",
358 "data = get_pricing(assets, start_date='2010-01-04', end_date='2015-02-12')"
359 ]
360 },
361 {
362 "cell_type": "code",
363 "execution_count": 370,
364 "metadata": {
365 "collapsed": false
366 },
367 "outputs": [
368 {
369 "data": {
370 "image/png": 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v/v4LQHnObTfupAW5ubmhYWFh+jsZJnM/mjNnDlOnTmXQoEHKvszMTEpKSpg1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YHK/J9Mcv9vcD7iI4kqrDugSVifgH6haClc8nNRM+Fud1P878XSOe52Ny6zS7pOoVQwzzSP2RWz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\n15Ag4SIWOJOQ7diQIvvHKRidDif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HWRn7oqMZPncuPPCAOA9ZFkRl/35xbbW1R/L2ChD3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\n98CfQqEkCubOhJRWGO6A3ToIHhmJNbjpyLbBNVFsfWEBS599pqe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5ZL+wFg3NFsQxgP9Y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\nRK5CYII=\n",
371 "text/plain": [
372 "<matplotlib.figure.Figure at 0x7f545b2a1a90>"
373 ]
374 },
375 "metadata": {},
376 "output_type": "display_data"
377 }
378 ],
379 "source": [
380 "data.loc['price', :, :].plot(figsize=(10,7), colors=['r', 'g', 'b', 'y', 'k', 'c', 'm', 'orange',\n",
381 " 'chartreuse', 'maroon', 'slateblue', 'silver'])\n",
382 "plt.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)\n",
383 "plt.ylabel('price in $');"
384 ]
385 },
386 {
387 "cell_type": "markdown",
388 "metadata": {},
389 "source": [
390 "For now, let's just consider the annualized returns, and compare the performances of random portfolios and the individual assets with the efficient frontier."
391 ]
392 },
393 {
394 "cell_type": "code",
395 "execution_count": 330,
396 "metadata": {
397 "collapsed": false
398 },
399 "outputs": [],
400 "source": [
401 "rreturns = (data.loc['price', :, :]).pct_change()[1:] # let's not reuse variable names from our simulation\n",
402 "rreturns = np.asarray(rreturns).T\n",
403 "\n",
404 "# Generates and computes means and risks for random portfolios\n",
405 "n_portfolios = 500\n",
406 "rmeans, rrisks = np.column_stack([\n",
407 " random_portfolio(rreturns) \n",
408 " for _ in xrange(n_portfolios)\n",
409 "])"
410 ]
411 },
412 {
413 "cell_type": "code",
414 "execution_count": 371,
415 "metadata": {
416 "collapsed": false
417 },
418 "outputs": [
419 {
420 "name": "stdout",
421 "output_type": "stream",
422 "text": [
423 "XLU | XLB | XLI | XLV | XLF | XLE | MDY | XLK | XLY | XLP | QQQ | SPY || Reward | Risk\n",
424 "0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 1.000 0.000 0.000 0.000 0.00077 0.0079\n",
425 "0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 1.000 0.000 0.000 0.000 0.00077 0.0079\n",
426 "0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 1.000 0.000 0.000 0.000 0.00077 0.0079\n",
427 "0.000 0.000 0.000 0.026 0.000 0.000 0.000 0.000 0.974 0.000 0.000 0.000 0.00076 0.0078\n",
428 "0.000 0.000 0.000 0.079 0.000 0.000 0.000 0.000 0.921 0.000 0.000 0.000 0.00076 0.0077\n",
429 "0.000 0.000 0.000 0.135 0.000 0.000 0.000 0.000 0.865 0.000 0.000 0.000 0.00075 0.0075\n",
430 "0.000 0.000 0.000 0.197 0.000 0.000 0.000 0.000 0.803 0.000 0.000 0.000 0.00075 0.0074\n",
431 "0.000 0.000 0.000 0.265 0.000 0.000 0.000 0.000 0.735 0.000 0.000 0.000 0.00074 0.0072\n",
432 "0.000 0.000 0.000 0.341 0.000 0.000 0.000 0.000 0.659 0.000 0.000 0.000 0.00073 0.0071\n",
433 "0.000 0.000 0.000 0.431 0.000 0.000 0.000 0.000 0.569 0.000 0.000 0.000 0.00072 0.0069\n",
434 "0.000 0.000 0.000 0.510 0.000 0.000 0.000 0.000 0.477 0.014 0.000 0.000 0.00071 0.0068\n",
435 "0.000 0.000 0.000 0.483 0.000 0.000 0.000 0.000 0.445 0.072 0.000 0.000 0.00070 0.0066\n",
436 "0.000 0.000 0.000 0.458 0.000 0.000 0.000 0.000 0.409 0.133 0.000 0.000 0.00069 0.0065\n",
437 "0.000 0.000 0.000 0.425 0.000 0.000 0.000 0.000 0.375 0.200 0.000 0.000 0.00067 0.0063\n",
438 "0.000 0.000 0.000 0.405 0.000 0.000 0.000 0.000 0.328 0.267 0.000 0.000 0.00066 0.0062\n",
439 "0.000 0.000 0.000 0.394 0.000 0.000 0.000 0.000 0.271 0.336 0.000 0.000 0.00064 0.0060\n",
440 "0.000 0.000 0.000 0.367 0.000 0.000 0.000 0.000 0.217 0.416 0.000 0.000 0.00062 0.0059\n",
441 "0.000 0.000 0.000 0.339 0.000 0.000 0.000 0.000 0.155 0.504 0.001 0.000 0.00060 0.0057\n",
442 "0.000 0.000 0.000 0.285 0.000 0.000 0.000 0.000 0.098 0.617 0.000 0.000 0.00058 0.0056\n",
443 "0.021 0.000 0.000 0.237 0.000 0.000 0.000 0.000 0.000 0.703 0.039 0.000 0.00055 0.0054\n",
444 "0.149 0.000 0.000 0.121 0.000 0.000 0.000 0.000 0.000 0.730 0.000 0.000 0.00050 0.0053\n"
445 ]
446 },
447 {
448 "data": {
449 "image/png": 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PTmCbvjhtWWPte5S1NtC6dzNui19r7UxjzPU4yVhX4EfW2p1tcB4iIiLtjrV2JTGWY4ix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\nkpSg/w9Mne3naWJp0QAAAABJRU5ErkJggg==\n",
450 "text/plain": [
451 "<matplotlib.figure.Figure at 0x7f5460052ad0>"
452 ]
453 },
454 "metadata": {},
455 "output_type": "display_data"
456 }
457 ],
458 "source": [
459 "fig, ax = plt.subplots()\n",
460 "\n",
461 "# Compute and plot means and risks for each of the individual assets\n",
462 "for i in range(12):\n",
463 " mu = np.mean(rreturns[i,:])\n",
464 " dist = [abs(mu - x) for x in rreturns[i,:]]\n",
465 " risk = sum(dist)/len(dist)\n",
466 " \n",
467 " ax.plot(risk, mu, 'r-o', markersize = 5)\n",
468 " ax.annotate(assets[i], (risk, mu))\n",
469 " \n",
470 "# Sketch out the efficient froniter and print the weights used to achieve efficient portfolios\n",
471 "print ' | '.join(assets), '|| Reward | Risk'\n",
472 "for i in range(21):\n",
473 " weights, mean, risk = optimal_portfolio(rreturns, (i/20.0)*0.0053 + (1-i/20.0)*0.0083)\n",
474 " plt.plot(risk, mean, 'y-o');\n",
475 " print ' '.join(map(lambda x: \"%.3f\" %x, weights)), \"%.5f\" %mean[0], \"%.4f\" %risk[0]\n",
476 " \n",
477 "plt.plot(rrisks, rmeans, 'o', markersize=5)\n",
478 "plt.xlabel('risk')\n",
479 "plt.ylabel('mean')\n",
480 "plt.title('Mean and risk of returns of randomly generated portfolios');"
481 ]
482 },
483 {
484 "cell_type": "markdown",
485 "metadata": {},
486 "source": [
487 "The efficient frontier has the same parabolic shape as before, and all of the possible portfolios are bounded above and on the left by it. However, because of the large number of securities, our random portfolios do not fill out the bullet -- it is too unlikely to randomly generate a portfolio consisting mostly of XLP, for instance, and next to none of the other 11 assets.\n",
488 "\n",
489 "Next, we'll create a `zipline` algorithm by defining two functions -- `initialize()` which is called once before the simulation starts, and `handle_data()` which is called for every trading bar. We then instantiate the algorithm object. It will tell us how to rebalance our portfolio each trading day.\n",
490 "\n",
491 "If you are confused about the syntax of `zipline`, check out the [tutorial](http://nbviewer.ipython.org/github/quantopian/zipline/blob/master/docs/tutorial.ipynb)."
492 ]
493 },
494 {
495 "cell_type": "code",
496 "execution_count": 374,
497 "metadata": {
498 "collapsed": false
499 },
500 "outputs": [
501 {
502 "name": "stderr",
503 "output_type": "stream",
504 "text": [
505 "[2015-06-04 22:50] INFO: Performance: Simulated 1287 trading days out of 1287.\n",
506 "[2015-06-04 22:50] INFO: Performance: first open: 2010-01-04 14:31:00+00:00\n",
507 "[2015-06-04 22:50] INFO: Performance: last close: 2015-02-12 21:00:00+00:00\n"
508 ]
509 },
510 {
511 "data": {
512 "image/png": 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1p8n3ba45USd7x/WgaMl8tcyvtakawXAc4UgcKxfVZX2smYZa8+53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\nrkJggg==\n",
513 "text/plain": [
514 "<matplotlib.figure.Figure at 0x7f545adf1990>"
515 ]
516 },
517 "metadata": {},
518 "output_type": "display_data"
519 }
520 ],
521 "source": [
522 "import zipline\n",
523 "from zipline.api import (add_history, \n",
524 " history, \n",
525 " set_slippage, \n",
526 " slippage,\n",
527 " set_commission, \n",
528 " commission, \n",
529 " order_target_percent)\n",
530 "\n",
531 "from zipline import TradingAlgorithm\n",
532 "\n",
533 "\n",
534 "def initialize(context):\n",
535 " '''\n",
536 " Called once at the very beginning of a backtest (and live trading). \n",
537 " Use this method to set up any bookkeeping variables.\n",
538 " \n",
539 " The context object is passed to all the other methods in your algorithm.\n",
540 "\n",
541 " Parameters\n",
542 "\n",
543 " context: An initialized and empty Python dictionary that has been \n",
544 " augmented so that properties can be accessed using dot \n",
545 " notation as well as the traditional bracket notation.\n",
546 " \n",
547 " Returns None\n",
548 " '''\n",
549 " # Register history container to keep a window of the last 100 prices.\n",
550 " add_history(100, '1d', 'price')\n",
551 " # Turn off the slippage model\n",
552 " set_slippage(slippage.FixedSlippage(spread=0.0))\n",
553 " # Set the commission model (Interactive Brokers Commission)\n",
554 " set_commission(commission.PerShare(cost=0.01, min_trade_cost=1.0))\n",
555 " context.tick = 0\n",
556 " \n",
557 "def handle_data(context, data):\n",
558 " '''\n",
559 " Called when a market event occurs for any of the algorithm's \n",
560 " securities. \n",
561 "\n",
562 " Parameters\n",
563 "\n",
564 " data: A dictionary keyed by security id containing the current \n",
565 " state of the securities in the algo's universe.\n",
566 "\n",
567 " context: The same context object from the initialize function.\n",
568 " Stores the up to date portfolio as well as any state \n",
569 " variables defined.\n",
570 "\n",
571 " Returns None\n",
572 " '''\n",
573 " # Allow history to accumulate 100 days of prices before trading\n",
574 " # and rebalance every day thereafter.\n",
575 " context.tick += 1\n",
576 " if context.tick < 100:\n",
577 " return\n",
578 " # Get rolling window of past prices and compute returns\n",
579 " prices = history(100, '1d', 'price').dropna()\n",
580 " returns = prices.pct_change().dropna()\n",
581 " try:\n",
582 " # Perform linear portfolio optimization\n",
583 " weights, _, _ = optimal_portfolio(returns.T, .04)\n",
584 " # Rebalance portfolio accordingly\n",
585 " for stock, weight in zip(prices.columns, weights):\n",
586 " order_target_percent(stock, weight)\n",
587 " except ValueError as e:\n",
588 " # Sometimes this error is thrown\n",
589 " # ValueError: Rank(A) < p or Rank([P; A; G]) < n\n",
590 " pass\n",
591 " \n",
592 "# Instantinate algorithm \n",
593 "algo = TradingAlgorithm(initialize=initialize, \n",
594 " handle_data=handle_data)\n",
595 "# Run algorithm\n",
596 "results = algo.run(data.swapaxes(2, 0, 1))\n",
597 "results.portfolio_value.plot();"
598 ]
599 },
600 {
601 "cell_type": "markdown",
602 "metadata": {},
603 "source": [
604 "## Next steps\n",
605 "\n",
606 "* Clone this notebook in the [Quantopian Research Platform](http://blog.quantopian.com/quantopian-research-your-backtesting-data-meets-ipython-notebook/) and run it on your own to see if you can enhance the performance. You can also see how changing the `maxrisk` parameter changes the performance.\n",
607 "* You can also download just the notebook for use in your own environment [here]().\n",
608 "* We are currently in the process of adding `cvxopt` to the Quantopian backtester -- stay tuned!"
609 ]
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