ml-finance-python
python scripts for finance machine learning
git clone https://9o.is/git/ml-finance-python.git
LECTURE_Stanford_Quantopian_Tutorial_and_Mark.ipynb
(839177B)
1 {
2 "cells": [
3 {
4 "cell_type": "markdown",
5 "metadata": {},
6 "source": [
7 "#An Introductory Tutorial to IPython Notebooks\n",
8 "By Delaney Granizo-Mackenzie & Justin Lent\n",
9 "Adapted from a notebook by Dr. Thomas Wiecki\n",
10 "\n",
11 "Notebook released under the Creative Commons Attribution 4.0 License.\n",
12 "\n",
13 "---\n",
14 "\n",
15 "IPython notebooks are a powerful tool for interacting with data. We hook our notebooks up to historical market data so that you can try out ideas for strategies. Often, the first step to developing a strategy is testing whether an idea would work in a clean, controlled environment. To do that we'll artificially generate some returns.\n",
16 "\n",
17 "##What is an IPython Notebook\n",
18 "\n",
19 "An IPython notebook is an interface connected to a server somewhere. The interface is built out of cells that can be evaluated. Each cell is a chunk of code, and the output of the last line is displayed underneath the cell. Text editing commands work normally within a cell, and pressing the play button evaluates the cell."
20 ]
21 },
22 {
23 "cell_type": "code",
24 "execution_count": 1,
25 "metadata": {
26 "collapsed": false
27 },
28 "outputs": [
29 {
30 "data": {
31 "text/plain": [
32 "4"
33 ]
34 },
35 "execution_count": 1,
36 "metadata": {},
37 "output_type": "execute_result"
38 }
39 ],
40 "source": [
41 "2 + 2"
42 ]
43 },
44 {
45 "cell_type": "code",
46 "execution_count": 2,
47 "metadata": {
48 "collapsed": false
49 },
50 "outputs": [
51 {
52 "data": {
53 "text/plain": [
54 "2"
55 ]
56 },
57 "execution_count": 2,
58 "metadata": {},
59 "output_type": "execute_result"
60 }
61 ],
62 "source": [
63 "# This is a comment, it won't be evaluated\n",
64 "x = 1\n",
65 "x = x + 1\n",
66 "x"
67 ]
68 },
69 {
70 "cell_type": "markdown",
71 "metadata": {},
72 "source": [
73 "Your work is saved between cells."
74 ]
75 },
76 {
77 "cell_type": "code",
78 "execution_count": 3,
79 "metadata": {
80 "collapsed": false
81 },
82 "outputs": [
83 {
84 "name": "stdout",
85 "output_type": "stream",
86 "text": [
87 "2\n"
88 ]
89 },
90 {
91 "data": {
92 "text/plain": [
93 "3"
94 ]
95 },
96 "execution_count": 3,
97 "metadata": {},
98 "output_type": "execute_result"
99 }
100 ],
101 "source": [
102 "# You can also print within a cell to get more than just the final line's output\n",
103 "print x\n",
104 "x = x + 1\n",
105 "x"
106 ]
107 },
108 {
109 "cell_type": "code",
110 "execution_count": 4,
111 "metadata": {
112 "collapsed": true
113 },
114 "outputs": [],
115 "source": [
116 "# Some lines return nothing\n",
117 "x = 1"
118 ]
119 },
120 {
121 "cell_type": "markdown",
122 "metadata": {},
123 "source": [
124 "#This is a markdown cell."
125 ]
126 },
127 {
128 "cell_type": "markdown",
129 "metadata": {},
130 "source": [
131 "Markdown cells can display $\\LaTeX$ as well.\n",
132 "$$\\sum_{i=1}{n} x_{i}^k$$"
133 ]
134 },
135 {
136 "cell_type": "markdown",
137 "metadata": {},
138 "source": [
139 "##Simulated Returns\n",
140 "####Importing Libraries\n",
141 "\n",
142 "The first step is to import the libraries we need. You can pretty much copy-paste these imports for most cases. Notice how I'm renaming the libraries for easier use later."
143 ]
144 },
145 {
146 "cell_type": "code",
147 "execution_count": 5,
148 "metadata": {
149 "collapsed": false
150 },
151 "outputs": [],
152 "source": [
153 "# This is a numerical processing library\n",
154 "import numpy as np\n",
155 "# This is a library for plotting\n",
156 "import matplotlib.pyplot as plt"
157 ]
158 },
159 {
160 "cell_type": "markdown",
161 "metadata": {},
162 "source": [
163 "#### Generating Random Numbers\n",
164 "Now we'll call a function from the numpy library we imported. We'll use `numpy.random.randn` to sample some simulated returns from a normal distribution."
165 ]
166 },
167 {
168 "cell_type": "code",
169 "execution_count": 6,
170 "metadata": {
171 "collapsed": false
172 },
173 "outputs": [],
174 "source": [
175 "# You can get help with a function like this\n",
176 "np.random.randn?"
177 ]
178 },
179 {
180 "cell_type": "code",
181 "execution_count": 7,
182 "metadata": {
183 "collapsed": false
184 },
185 "outputs": [
186 {
187 "data": {
188 "text/plain": [
189 "array([-0.46452141, 0.85763376, -0.93862487, 1.81387423, -0.83241194,\n",
190 " -0.33915358, 0.03584861, -1.4449243 , 0.11033862, -1.14644981])"
191 ]
192 },
193 "execution_count": 7,
194 "metadata": {},
195 "output_type": "execute_result"
196 }
197 ],
198 "source": [
199 "np.random.randn(10)"
200 ]
201 },
202 {
203 "cell_type": "code",
204 "execution_count": 8,
205 "metadata": {
206 "collapsed": false
207 },
208 "outputs": [
209 {
210 "data": {
211 "text/plain": [
212 "[<matplotlib.lines.Line2D at 0x7fa63a594210>]"
213 ]
214 },
215 "execution_count": 8,
216 "metadata": {},
217 "output_type": "execute_result"
218 },
219 {
220 "data": {
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85Cp87Rf5Xv/FhVM0UQ6CWGxs3juIk4PjzRaDiMBLO/oBAGdHpr3vYoWxFTAxTB4vIw/3\ntpSB7yfVBAXd3d3XA3gPgK1plrtYyEMjiwopJYsLO0PXzsXxOQDAq/vOpl52mrTga0oQLU+lWsOt\nv9iOf7x9fbNFaRrzlRq+dPdW7Dky3GxRGg7vUW+ODD/81R788LE9icrIeza2TO9tEwfP1BIUdHd3\nXwLgVwA+UvfwSOnt7U2rysJx9uw59PbOZlJ23/l57Doxjff96yvQ3pae1lyt+Y03zWd7ftx3eScp\nt1ntbW7embiPjo4Wqs1fuHgBAHC6/wx6e9O1sI5MpPPMs6a/f9L7fOjQIYwPdXG/51l2onjEbW9H\nBmax8cAk/ux3XoulnflPzLpQtbzPi/Ud23tyBtsOXsS2g+fwhQ9d1xQZ4t77Q4cOeZ/PDEQfPy5M\nVr3PBw4exOi5Ls3R2bB5z1mUAPzm9dXQY1UMXlzwPu/cuRNdHfl69/rPTHif037P5heca79w4YK2\n7KNHj8Ke7k+17lSUne7u7k4AjwH4ZblcflJ3bE9PTxpVFosHzgAArrnmGvT03JxJFV/4p6cAAO/7\n7Xei5+ZrUyt3bqEKPDwAIN1n23duAnh6KFG5vb29TWtvS9e+AKCKK6+8slBt/qWDO4C+AVz3xjei\np+fGVMvuH5oEVid75o2gf+oYsNMZqG+66Sbc+KYrvN+a2eaIxUeS9vaFB5wxYQqvw2/1XJ+iVNkw\nN18FHhkEkO/+IUvG7dPAqxcBNOcexGpv9fnNr//6rwPPnQeAWOPH4PAUsOocAOAdN70Db3/Ta6LJ\nkQJdT6+BjWT3/rL+Ue8+vOfd78HSJflKinxi7Aiwx1F40m5jS559HpiexVVXXYWenvcGD6i3lRtv\nvBHvvenqVJWtxCpld3d3CcDdAA6Wy+XvJBdp8dKIiLBqzQo/KAKZhbHl0b9LeI8li8feKgk6LOYV\nahGRCYIoBEXL72kO29U2a6yw7OTLDfK+OWojEhS4HDk9ii/fsxXTs8mSV5iQhv/stwD8PwB+p7u7\ne1f9v99NodxFRyPW7KSd5SIrZSePnQDht9Es2mrrKA4tI+iiZW6+is/f9Sr2HF18axuKCr11gEkE\neqVaw8CwciVBy5KHBAW2bSc29OXhOnQ0ch76ye9vxNYD5/Dcq6cyrzOx/6xcLm9CyokOFis5bPeh\n1LJSdlrxZkgomh3OfSxZPJ5WeeYtIuaiZvPeQew8fB47D5/Hqts/0GxxiBRolf4hUwyslV+4awv2\nHhvBDz/xv+NN11zaAKEaQx48Irad3KuU91bcSPncNd+Be5rH1NNEerRiZ56VskPkEzftchZttVUy\n+/H7PbSGzIuNzpwt+s03RTPJFBcTz87eYyMAgNNDkyFHti52utH4xli2nTyMLedh0HaG47DqetNM\nmqWCRoQc0SprFlhqtaw8O5kUSyTE8+xkWHbe4cIQmigHoWZpV74W/RLJaZX+IUsi7T9SsPvF9rvN\nmivZtp3YKJf3fdoaIZPYjtvasldFSNnJEY15f9PVoGtWNiaWVlT8WFpc/FCysP60yjPP+QbYBIAl\nXe3NFoFIGfKiItLwnWdPeaxNRdMXIzKWnTw5Dz9+5OGqeJohkqjrZOHnIWUnR1CCAob89QHxKFiE\niNtGs3jsaWcKzAq7MI0zv0zOLIQfpKGjnYa2otFKb93JwXEc7ruYerm68btWs3DHw7u8v/NmPEos\nD3N6067NthPXbeU8MiDTeaii7Pa0J6YSaETIETnrm4zILEFBLruBfLCutx/3rDrQlLr9MLb0n0+r\nrP/Kw07eRWbNlj586J+fxbredDeVI1qbPHsqRP7x9vX4+B0bUy9XF8a268gw1m477f2dN09Y0vDf\nPKyVtOwUohpYpS2HbbohYWxCM25rgHGKlJ0c0QhrRdr6c3bZ2DIpthB864GdeGL9saYOZllUbWW0\n/itt+KxArSFzK7F2Wx8AYN2O+MpO3iZ6BJEGOgN4pcp7xvM2j0681oVL2ZxUmvgypOnZySPN6Dvb\nyLOzuMj5OyCl1iKhR42mEY+yGYOZn3p68Xp2kINBdzGQ5NYW7bnsPTaMu57cl8l714B5RioU7ZnG\nQf+s+BuUN4U/TXGa6dlJPEzlPDKgkZuKuoiOnSz6JFJ2ckRj1uyknaAgK89ODnuBGETKnhORZtwj\nP/V0+mVnlewibYrRMotN0Txun/3RK1i58QSOD4w3W5SmUZQxIRnm40nS+/XIC0fwB59Yldru9on3\np+HW7CQUJrYMyVNP82t28temm+LZoWxsi4uGtLEWSVCQvy4gfzRF2cnQs1NtkTC2JIM2TdjCSaOL\nYveyEMN7WplWSeKRBfTm6C3eYteStKu579lDqNYslPtGkxVUh50rxOkHuX63qcpOsn7cVv6RD5qQ\nnwBttM/O4iLvsZwyagk7MCWtdysaTjOjvjJZs9MyYWzMxwg34uEXyvjgx1diKiVLaeFJ0BxYi+nc\nQjUFYYhms9gNBVv3n8WjLx4xPj6t+cRCtZZKOYnFyUE2NneISjJU5X2ftmxlckoXI4woG9sioyFh\nbCmXx05Q05ystvy41gD5m6Ec+Kmns1iz0xpWa1vxOYxfPnsYlg0cOZ2OpbSopBFqy74as3OtqezQ\nekielh8TYrDz8Hn0Hh4CAHz5Z9tw5PSY8blpDQ+VSjrtMHEYG7sZZxNTTwPJxl4+m2f+GnUztkAh\nz84iIO9afhjsBDXNuXceY1njkKXBoplhbFnQKgkK7IThFEs6acNLExL1AayyM58PZWdgeAp3Pr4X\ncwbyPLDmMD74iVU4d2Ga+76RuQRs285VCGAO54WZ8/m7XsUX7tpidKx4e9IaH9Ly7CTPxsZ8TihL\nXNxLSBTGlvOG3AzxGpEkhZSdJsO+/3YDxpUsExSkae3PeX+QC5qTjS1Dz06LrNlJeumk7GQP2z5n\ncxLG9vmfvIqnN5/Eqk0nQo998PkyAGfvlKxRjQg/emwvPnzbS7mZnBXFAGaCbdsYnZiLeJLwZ0oD\nxEJKCm+qUe5NjGoAEnp2uDITCJQRWb7vqqLFr7NI7NSReok5oFqz0FYqNcQ1lhgujW0OW34I3Jqd\nVMPYWu9eNJrmZGNz606/7JYJY0uYTacl+qUCkZcwtov1yWuU7FbNbCn95ydx9sI0LMtGe3vz2+xi\nGhJ+9dJR3PvMoUjniH1RemFsKXl2Emdja24UDHs/EyWp4dY5J5EoG5oikqioZyBF4Tw7M3MV/MEn\nVuE7D+2MdN6r+wbx0o7T3HfH+scwM5ftYmLOs5NpTdnAWuNT9eykVlJzaIQVsikL+lNw46tolTA2\nlji3oWUSMTSZJE2M8+zkJIzNVReiXJfoiG9ky3H7drHOiekFvLTjdMPf18VkAFu79XT4QSGkNQal\n5dlJvmaH+dyUEG52rpOgHO5z/tq03QQDvNg2sqi2cMqOaz1b13sm0nlf/fl2fPvBXd7f/UOT+Oh3\nNuDTP9icqnxBslEWVKQdG8klKIgp/sWJOTy/tY+fBOavD8gdzchIk+k+Oy0Sxmbxo1WM81vjOptF\nKn1USlbYVKlfWE6kCcW9b+Lt+9ovtuHbD+7Ci9uTT8gJOXHegbRTT7uk5dlJ7NHg3unk8kSuPiUl\nIOmaz6zhEyikXLbhD1nclsKFsbF7dQxdnME1Vy6PVc7Z+sLQE4PZbuLGze/zMihHgA09iiv/5+58\nBf1Dk1ixtBO/9a43OGXlsRfIGc1oLlnus9Mqnp3Em8q1yHW2MtzGfTm53e4ENlr7aV74mP8+8vIe\nPHkRAALJE7ImN0prAxDX1sbalyZhP9PRXkK1ZufHs5PQyJQUblPTtLKxJZAnKxoRLhho3w3Qdgrn\n2VlgrBAHTozELqdRQ4zd4EE57YVfXIKCmB1A/9AkAGBkfNb7rjDjWsGysfl1p1+m1SJrdljiKOWt\notS1Ms2eGMlo85Qd83MakaVIhdufq+RNO9lNKDl5jo1A3FA+ztiadHzo7HASqaSWjS3h87MbHAUj\nwtaZbGNp9nP+GjXfdzYqjE2QgdbshMMqOzMJFqY2qiPPquFfGJ/FE+uPBXfcTvmyslqz0+oDWyP6\niGboBu51ZTHYVFsmjC26gaLCTBjyOMDliTT63qRJJLLBDWMzl6cRo5DqdnvKTgNkMCEvcjQC8R2o\nmOy5JNygpMpFV6czPUxrn52k/V6zlYS0wrvy0x/JydROpCqwAWt2ChfGxrpck9ywRhmtsvLs/Mvd\nW3FiYBxdne34T791Q3oFC6Th2XFhb3neO4Q80Mw1O1nQMh6PGGEIs/O+srOYwnGSkGxCkU45aeKN\nKS3i2al5np183MDFFP7ZJjx4E0OQ2DcnfW5dnSl7dtg1OwnHkeaEcKcz12G3GMnJq8WR9vt+cWIO\nV1y6hFPgxW6tEa92oT07SV6oLPJ8y+DiQFNsZKfOTgBwPDwsaV+VZaWjXALghMtjJ5A3mmndymLi\n0TKpp2Ocw2YEW0yTtmbR7DS1MmLoOkEaeDFe356XG9gApmcrGJucb7YYAaoG62bE4SDpfKKrw5ke\nLqTk2UkcxtbkbTrSSj3NRQbk8OVKM0HBUy8fx198cQ027x0Mq1WQgcLYQmFdri3h2WE/p/h8VVt5\npH1daXp2WIqi7GTZjPxsSTa+98hugw4l37SKEhAnm84cp+ykLBARoNkhL1LcbGwtkqBAqes06X6K\n9+3nqw/gwTWHU63jTz/3DP7fLzyXaplxCHp2YnQaCR+Tt2YnrWxsKaaebnY2trQ2Fc2hriM8p/gC\nVqoWfvrUfgDA0dNj9dLk5TWiSymcsjPPenZaQdnJzFrhXID4UqbdqPjU0ykqO3nsBSLQCOnd2z08\nOovnt/bh1l9sb0CdTqVZhGK1SuppXtcxk5nz7ORl8p1zdPfWtm383a0v4tsPyvdTa3TiFxPaWi6M\nzZlgq8alRosmivHYumN44Plyg6VoDCVhZmai7IhPKbU1O3EULQlJjVlpTcLjwoXhJQmxzaHXmSUt\nz87EtO8hvfySLv5Hcf8wcc1O/GqVFE7ZqXDxpa0VxpbmoKwaJNNuRLUUlR32nudlgpI3LIknrZGT\nZz/1dPplV1vE5RFnIp0XZce27fx4OhSYTPBrlo2B4Sm8tKNf+jt/iXm53uj77OQ5G1ujyYkYidh9\n5Dxu/cV2VELC0sQEBXE8O1GUi8HhKfzVl5/HvmN+BtvceXbYMLImDxVx+/Dp2Uqo1/l7j+zG9x/d\nHVe0xLBGpiRPjL20sPW4gduQwcteOGUnrQQFjTJb8bvypveElbt1p9yIailZO1qB9b39GLo401QZ\nZOkvG3nfba/O9Cu1WsWzE+OcvKzZ+eJPt+DPv7CmafVHQdfE2HtYk0wE8+jZibfPTiOQD3ZeggLh\n+2ZJn7/7Fp3Ne89i895BDI5MaY8Tn0icTJVR7tejLx7F+dFZfOuBXu+7zvZ0s7El7vaaHJrKjb0x\nLuZw30X86eeewX3PHvK+k13G81v7sGZLXywZ0yCtEGDZenRVcYHU07RmJxwuQUGCGybGzGZFZrHl\nit260w4PYxeVJ87GxiUoyNfANjI2i9sf2Im//srapsqRlis9Lm6VWdTdKtnY4lz73EI+lJ3ew+cx\nNpW/BdgsJl51duJxfnRW8rv/uVldydH+Ufzt117wksX4yk6UUpq4ZifMjdvobXZao3vgEMcxTzEP\nuZbAmh2TjT2FuqIYT9vbS4Fz3LlCFtnY4kxD0vI4xCVpMqntB4cAOHOJrDkxMI4XtsVTmOKsSQ0r\nx1v/V/+qBHEcpDC2yCwkTFBgs0+jAWRlgWxTWBFTX7OT4j47fOrpfMGGEUxML4Sf4FoyUpaD96Q1\nT9vJu7JTrVnYuHuA86ikRZx1dvNMv5SHNTutkgxCBXsL5VZy9UDaKO58fC/OjkzjZ6sPAPCVuCRh\nbI1sOu4auoDBrElNJ28GMBNEkS3DcUF87nHC2KLcrrb6hEEWqZFWNraka1WanXQk6VwtzAOdJh/5\n1np89+HdsTILptVzsueK402pVOIM5eJtyOK2FFDZYVNPR6fBuk5m2dhUVsS0X66ssrFlNT/pOzsR\ny7LC3rad5fMRToxclRbZmp1GJnNw68qik46VcUjBypeP47b7duCHj+1JrUwZpneBtczmQdFI8143\nA/YeDgyeU51tAAAgAElEQVQHlR02pr/pc2S3/hhhbHHHoflKDR+/42W8vOtMzBLCQ08ata7VpenP\nMQbis/bXQekvJs6anaBSGsGzU6+PTRLjnl5J4NlJK4MZIEyem9AW+D4lugAyY17WlxFnvZWd8Dpl\n5/oGPv87vq0FWm/selUUT9lJuFO5e04au3hHqQ9I2+Ir3607W09DwsKYe56VxeO/fXMd/vOXno98\nHnsfZ+YqxuelbcVPMyFEHLzIFu/v9GRIUwk4OeiEDh0+dTG1Ml24SzYUmZ2s5EHZWTAJi2kSJl0v\n2+7k1svoVuTRyTkc6x8zPDo6jVQN9h4dxuG+UXzjl/4ajP6hSdx+fy8mZww808jfpqINNeqkdM1i\nKabeaxPPTlim1TieHdma0CR9BR/6FbuYemHygk+dnUikkBlXz9QZJwpBNl5n/WrFMvhn8J7Jxryq\npe6jybNjQNIwtkbPQ7JyzSrTnKZ8falmY2PX7CQqKQPY5xSlkWTo2Wnmmh3LtrHnyDDe/7GV2Hts\nOJWy0wxj8z206U8x47ynnLKTg8bdiMlBUnT3mdvgT3JDrRj96l/+y/P46Hc2pBb6KLa9krfPTpRC\n0mu/X75nK9bvPINHXzxqdHwelHKWxiZi8T+fGBjH9Ky5gUtVDmCe4S7o2QmeEOwv+b+rloUXtp3G\nuMEaPU/ZkTxzWfiVKdwaoIQPkJ2Eu2IeOHEB//DNdZxSnxVJr0V2b9Oa8x04cQHff3R3oE3EM/ir\nf6tULW57Fx26hA62bXPtKqCoG9UQjeIpO6xnJ6Ze20j4FyjFgktBS41TR9qehmgW67/8lzXKvTFY\n8mJNdIlhzI98rAnc/RbdLI3AC22xcX99Q79HXjiSStG1LPKJZmBOj2OgyFsYW1jq27wTpvTzzyha\nmfML6SqCfrQA/7cJaTbfyRlnwj6/ICpzcnlqhhPzRtHIMcGta+jiDD7yrfX4p+++HLck7i9Tb1m7\nsCu47H0NMy6u23EG3314F750z9ZQKdsla3bc9yGJESrNyBXeo+78cbTuiX1139lEZUclTh+eZQKe\nT/1gE9Zs6cPuI3yIfaJ165Lz//Jf1uCPPrXasCD/oxgSayNk/TF5dsLhYhQTeHYaFiKUkWfH6yoz\nbkOWNu5SqNu2cWF8Trk3BpegICcDrEvcTjutdrRx1wA27h7gOwizxD6p4tZl2/61pRXyqY/hjUaW\nIS9xsgJVavlKUGCU3SnHhL2PSRZDp+ZMKcn/jPL448oifyfl76tcWbSbsiZQRyOlcLvZ8/WtBmTr\nwkxQenYiliMzBIkeF7EuN1yx3DcaWr7Ws5Ngks4rT/73SbvApqzZSWiYlnt2opehex5ivx7n3dUZ\ndo2SM0nODVy7zUc7BHWd9B9wAZWdZOEiXohSg16mrDw7nhVR+D7teZaqM5MR+jzYNTsJZFKRmjJp\nUIwd+JCM2365A7fdt4NPUMB4WRqFZ5mx/c0p00rTzodEplJkJuskwrwGqzedwOPr+FAhNgxlsXp2\nKlUr0qRR16xlawu4c00LSkitZuHYmTHtM/V+8bYDMJcni0mA+E7IRNdkhW0eDZTD7dvSXFQPMH1c\nSLEmqafT7EZk2djc9ypJGFuaYfqyLJiN3HSXFT+OAliThCJGvSd/f9tL+IsvPqf8PVBaQs9Okr5T\nlkzJKxbpGjdNKKCyw3p2ot9A9wU3tb7atl7TjlN3Orjx4QF1J8U6oq3ZidSgM2j7SW5v3IWWaVso\nqhIPQdb9xLEzY3j0xSPO8/OUHf8+tLWl5dlhLT0JLyrDexIm24+f2IefrT7IfSd7bs0krb0zovCN\nX+7A3936Io726y3NJhMY1rASFgsf9W5HmeD+8rnD+Oi3N2CtZE8L8TLi7LPTmJYSrIULE1ScFWWi\nOTWzgH/45jps2R8/3Ej13mSywbE70U+q7Aiy+amn9eXGSVCQhHbJw7RTuAcy41xcZPp3I5N+8KGz\n8eeWLFFLGRiewvhUPO+K8TmsrhPjfBk1r927ddh86mmNDGlROGWHtVjGfdDspC6Mz/xoM/7gEytj\n1ORgJRiUdbTVn2zAMpi6Z8d8EhdWN7/PTvqtPb1BMb5lNilsR+dZHzOePH/02xtw7zOHcPzMOJN6\nOn3rWpp7CHmDYRZrdjR/qajkdM1OEqttVNy4+tPnJhOXFbbnRRLjZJT3yZ287z6iSdJRLy5OU0xz\nnzTVubLv+T0wkrfX9TvP4NTZCXzlZ9til6ESI4vXyX1HE/etwunGCQrENTvSBAX6MLYotLXLlB3/\n37h9VqrZZlP0EsWqPuG1yDw7aU9zVGGT0crQ961xypEnvtDUQ8pOOGymiDgP6vmtfXj/x1aib2jC\n6Pj9xy+kNgClu2ZHvoGd+/fG3QP4/qO7E9cZxdoRvrcAe2wisaQk6WxluwFHPS8NLoz7ewR5a3Ya\n1O/PV2peXZZte/XnMYzNv+/ZajvsvR8encXT2+VeCy5BQQ48O5WqhW8/uBMf/MQqzGWw8aqOpUs6\ntL+bZNDTZfoBkoViRLFk67w14toYPxtbc4wlXlGBjUr1nh0VUd6sLJt8FsYDr59LOYzNtDzx3krD\n2EKysUVB1ocnTbUsnpdY15GNwU0KY7Nj2Ihk667SN+omLy+tOSkXDSNJk17VRHLQmh0DKgn32bln\nlbPb9TrFIvq04bToFI2sysw/9T9vu28H1mzpw5gkLWWU+xZlU9FIk7xMlJ3450a15rNWsTS5MD7n\nfW70mp1SSW7dSst7winOKU1g0vbsHO67iPU7/Y0aWSm/89BObD86LT2P32cnXZniUKlaXqKQ4Rib\n7CZhaVd74jL4sFKZssN8jlh2lAluKcI6HNU6Sh1Bz07y9yKQoEByDB9vn7hK48nLiYFx5d5YqvFD\n9n0tZCF3GGmEcLHlsHLJvhcRn5E0QUHIPjtRaG8LTgXZ4uJ6gJUT3lhhYFzJABq7sS3bzmqx5Nf3\nU2kQjORpnmGNrdkSJkTi8o+sI5CAAio73D47CcqJ2sfFd/Oydabo2VFYHG3Y0LkXX903iPd/bKXx\n5npRrPFhl3dxYt7bzyCTMLaUtJ1mRiFdnPCVnbSsj6aUUOL22Uk7G1sj17XEHQR+LqzFYduFzHDg\nUsnZpqKsUUhMc5s1He1mw45+nx1zz06WYWwmGdZscWIWxeYTsHiaEaWNycPYmPuXsrVYx0e+tR4f\n/95GRSHyr2UT8b/56lr89VfWGkoXxEqpb1WFFYXdD9HTIk09nWI/Ilt3yRpf4yp9qkQiMWdLTFmx\nCkiNtPbZSRuxhjhVmiTNMrn+aGFs8fq5KBRO2Unq2XGJ2jDjdgbZad7ykAnbBkbG/Amz2In+5Il9\nAIBnXjlpVIsu44ZI2LU+sOYw/vRzz3hypk2iMDb2cwZhKKZlyj07xuIkxqvL9mVOLUFBmmFsmt+O\nnRnD+z+2UpkCXcdbrr1U+ZsunC+PYWwuaT0/U0L7CYOhLnSfHfZzxPsdy7NjUkeMBAVxI5VkC9pV\nFYeGsanqjGDkiNPkD5y4gJUvH2fEkE+OZI9reHQWIwk8llllYzPfVJT/W7apaGAPPcOyZEgcO7wn\nI4X5TfIwNnm5jSLpht6ye5j1dSTdVFTVF5s0B96rF/ytqklQkMWkpnDKTlW36CkCkQfImJVl7dkJ\nVgj0nfPXI4nKzkL9784Os6YRJX1gtCxm6ZNWe4g2WQk/eP3OM3j/x1bi1NnwdWLsmp2omQN1PPPK\nSXzsjpe14QpOm/LrdPuqtKbKSbPdcNRPl70Ha7c6mbN++tT+yMW+9jXLhGrM5KzmzrPTRGUnrJ8w\n2D8qy312oik7bn3qY9zfPC9QpAQn/LGm77p0YgVeDlE+VT3ptNbopXzqB5tw11P7MVXfL4b1NCjD\no1LCy8aW5gydKS+NbGzSBe+ysgyOkYWxcXXFjGWMEuYeBm/AcP5tROrpmbkK/uePX8G+4yPed2lt\nKhr3jijrF76Oo6RG9dqYHONnIaz/Blu7R2MWI2ThlJ200tc2LIyN/ZymsuOVKdZn48x5f68LsROt\neMqOWVw9l40toWcn7rGNLtOonAh1/fBXewBAmr5WhPXsuGF5aSg7P3psL8p9ozij2wel5F+Wcw+c\nP9JLUJCeQmArp3bphd0B/GPWFZu31NOsstPoMLawAdiP79YdIzmegbcCR5EuWt/vtiWZDGJ78L1A\n5uWLxz736imcGBgPPU97j8UEBZIbnfYeGEnW/fhb08hlEvsKbvuJmPghwtEF1yna7gQv3LNjss9O\nev2IzODBeXYMFatAGRkYsNiyWKkfWHM4k3nD2m2nsevIMO5eecD7Ls69t1LMxqZ6v8V3OVY2NuUf\n0cplj5AmKOAyPiLwe9oUTtmpprXnTcRyUknNmGaCgjb5wlnbBuYX/OxLomfHDQPs6ozu2Qm7BUnj\nyJOSbMEq8znSeRGsxAobHFvGLJM5y5sEpNhudIpLCayy49eflvKgTUUZkawsf+4g9/rXrqhX5P+m\nuw9cSvwceHYavc9OLYJny/1dZ1UPS+zCv3fR7neUxdhtBp4dF2XSGA3isZv2DOIj31ofel6USXqY\nZycd4pfnTsRVfbDodZieq8Suyys/QRibTtE2va+BTUUlz1M2gYyLzN7Blhc/jC15GV5ZIWt2Hny+\njIMn5cktkmCWCS8ceRhbLJGMPW2xlD+DuY5JOw7zvvN7eYm/pz9G5lbZqVQtfOuBXhw4cSHSebWa\nFWkAUtGMMLY0H7Das8MvlhY9O24YYKfhIuJKBIt1tFuUfmNPLYwtitKWwlFsdRXJ2o80JyY6K78z\nmfctk25nVUqpF+EXRjZCIYg/EFz/+ssCP5l6dhKHxqQAO4A3QpzpOUZJN/QA644L26wwmWcngoFC\n69kRU0/X5YkkS4SDGeS7tcuPlX0fJ2XwhfFZ/NVX1mL7wXPGdUeBf6ZqI6Gb5Mb5LV7FbplxkpBx\narYYxlYvOMo2DIB8wm2sPBhYfGTi8Kmn41nUTBa7m8LbL+TWrNNDyffwEkkji9rkzAJGxoNryOIm\n/1C164ByHeOxmYzDRp4d5hDZWjXZ48yS3Co7Ww+cxbreM/jUDzYZn2PbNqo1Gx31EKxk+6pEOz52\np8ppv/xvc/NVPLnhGCZnzHfM9VAtnLVtbiCUZXkBgM5OwzC2CGGD0WLVjQ+NUGaC9qD4HHpeClZ8\ntm3JEnCkqRiErd/wI4z8rH5phbGludu2DpMMWipcEd1rZtu07i5Uq+zkrPnKTqXBys4MY20PXbNj\nouyEWQ0TTLJU2d1k+xG1RdJgkmdjM0U+Ea4bJ4KrdgJH6q2uDuJr//Tmkzh/cQZflmwcmqSJef0c\n5M9UfP4zjGIdZZJuSyZ5sfohzTnepC+kiIBnR5aggHlGvYeH8NDasrmMAtLWkmEYW6xmzT1z+SGD\nujDsmMj6g6h9+If++VmcHQluS6C7D7p331TRjdd+DQ6JWKwvrz9nsTUGlUUVxiazZIThNsAOyW7A\nUYlqfY09gVFYqwDgobVl3L3yAH7w6J7Ixaq8WzZ4K7NS2TFMUMBtDBXyyKLc0iwae1oTaCMXrvBv\nEtgBm0vAkcGmorpQrFKJuS47OPFPStp7ewAKBSSBuGIGOvbea8PYcpygIIs07yKstT1s4mSye73M\naqgmal8e/O4Ld23BH3/maU5pA+C1JRNZfb0oe6NPeKIRH9n1cpMpQxkmph2j3GXLuwK/JcmIJ7MK\n85nChDA2pq2pxjdpnZLyrRiuHe7WCZftiRpyO8S+pCIJO2Xv0Rfu2pJK9jn+O/9zKqmnUwxjU7Un\ndj1yWsjkPj4whu8/uhsLlRpGxmZx5+N7Ma7ZeiBWvZrbpexDA+0t+j03MRSZzIF0Bikbgqji74tJ\n2YlDzVN2nMsyvWHyFz3a3U6jMxCrPHdxBgCfPc0U9foPXpGUpihFFGWHGXRCw9ii3KP0W3uiF0gz\ngJmeF4ZqrqzqsLIIYwt9RrYvk7dINK1NRVMMY/NlUwsXpwZXRt+z4yNWxV4Dn6AgRsUpk9Szs+PQ\nEF7edSb8wDqstT3cs1P/19CzI02dnMSzIzlhZ/k8AGB0kp/QRPHsqDyKlmVj/c4z0slSup4dFXrL\ntWlJbgTCpSs6gzUYFMLKLAuj4+6FRtll21okZUfiWY4Xcqpum14YW1g2NmH4XUgSxmaAPIyNqSuN\nTUUT9+nM5/q/Yp87kIFnR9YGNuw8gzVb+nBicBzffWgXnt58Er94+qDkbD2691vv2TF7Hmnec65c\no9zTweO98mz++oLFpT9I5lbZiXOp7oTCU3ZMV0xIDmtUggJeDr6M9ih7OIgo1y3ZnJVZNRiEpaJ0\nqUYIY4tirc+bZ8fEqmRa56GTF/HHn16NQ/XFlGHFKbNMGoT7REUni7OpaPA+pJW6mG0fWXXSgFoB\nqll26OTILdd7PZiKRAMDK0PeUk8vJNyP7Is/3YJv/LLX+Hh20bhpggLjNTuyRyafFxuhq1fV0rWe\nHTd8TNGfb94ziNvv78WX7t4qKTdEWAVRFkOHjX+q9iHei8lp5xlfKvPsGDyFmmL9px/GBunv4vOa\nYjw7KmOeDFmYVRwPs0Inq5dnB46RId7bJIvkjXpnmcGXkT62MVcRqhTHm8yeIcvGBvAJfNJCdp9d\nI69l2bg46WRIZdudKbq7ECeMLZVsbAbPySxBgVoONjJEVk8uPTvd3d33dHd3D3V3d+9LQ6AkuA3A\n9Uo00rMTd3KmW7PjLX6N0eH6VsRgI6pqEhQwRxrVE2USFykLkfGR5iSZZHIdQELhfvHMQcwt1HDf\ns4ec8kKOV1nVsthUVDsIlRiru83ss5Na6mn5wJiEKKL97VfX4o8+vVp7jM5jFAgPYj07VXOjQCOI\nYvFOu76wiZPJeokwizEfShR+v403RxaesU7RV7W9oAffieUvnx6VHBuvrUTZ00N2/2qatLAqPM+O\nRNkx6dBVY4n7SbX+UfyaDTWMFsYWbANJU/cGPTt28CAJYv8Sls1KX1b4MbKS2OJjr9lRhTLFKc4g\nJC6LJPqyuvxEE4wBLM44qLkPYrW6dOuqc2KlyDZ4TiZtTx/GZmujZbIYIdPw7PwMwO+mUE5iAp4d\nwwctfdEjzgWyWLPjWo/juNJV0RW2DaMEBaaXE2USF+XFy2I+mFaZZhtqpVen6r65bTTdMDbdj8wB\ntl9vHsPYjBDqOD86a6CwO//Kw9hEz478PcuDZ6fRCQpMBmrvdwOPZWhbkVjpdbCTe11/qwoP1ilw\nbnGx5kIxn40uzEWmqA+OTHHrQtjTle+iUIxO2TFp8lxItMSzxBbBT8TVqafjhrElSVCg67tMQ4/F\nibOsfaWZ1VH+CrHPI2Y2NsGIECcjIQBMzSxgXa8kbLYBu4pK7z2zrtC7T7F0HUEJ0PRr7J+mnrak\nTUR1etRyA4k5bH0f/tyrpyJnYg4jsbJTLpc3AgiapEL47kO78He3vpC0eg53Eu+tNzF8IGEx30Z1\nZ7Bmx7UaxpkcqVKibtwzgCOMBVE1GJhONtl9jcIiBqLc0rxtKho3k4zOU2LaT6vTTNoB2ZKia2s2\nczVsJ9+e0oBjcW0puxm4v5O9nMOnLuKT39+I0cm5wG+6BAUi7CVUa5bXLzUz9bTriKg2OEFBlEx7\nfoICw/Jk2ZI442T49XH7hdVPli4KFw1SmlBjUTFy/25EPyjdwFDB0f4x/JevvYg7Htntfcd5dgzL\nmawnKJCu9xSuY6FSw8qXj3PrlFSeHVcU3ruubk/smp1oYWzBz7EME5JyXNx2FlZqwEusycYW3kZM\nUk8Hy4gzudaVq3p+Jnzz/l5v3Rzgv9+BvIIZdGVyz6d/75NkJRWL1ia3YJVPVbsWToqVoMDEa2Nw\njM7AZXv/k3O0fyxSJmYTGr5mZ/WmEwCAF7afxsBwMBWfjD/5rCQLjgTfs6Pe+0BGmFXDhDT22Ql4\ndkrRlZ3tB89h054B5QZ2Ow+fxyCTAlE1GJimTI7i2Wl6GFsSZUfxOeyMKG1Lt5ZEhhcRkeLN0i+Y\nZD1Wtj/gJFiz8/PVB7B2ax+AdD07vrEtumyfv+tVHDx5EY+vOxb4zb1mP3zJlzOQoIB5btWahSX1\ndO7N9Oy4Xm9uU9EGiBMlK5NJgoIw4wOn4BhcX01Qxu5euR9/+MnVOD86w8smyOR6302aa8mzwZnf\n8Lh9FmuE8o0i8mPLfc7awfWM5TxOyJG7iF66L4nw95MbjuOup/bjWw/s9GVWhbFJjDo6ZZfNxjYx\nZb5tg0yBijPJ1xkwvd9CihXHApkcvlKePCRVJg7v2YmpdAvrMOOm/T/cx9vTlfu/ZKDtSMPY6m3V\ntnjPbaVq4elNJ8wzs4lFaz074c9D/DbxRq4J7jN7SCCMzbZTzdRnQkfmNQj8+Il9eP0yv+Fu37FD\nqhGfPOlPyGfmqlj9wja87fVLtWVfmHA6ubk5JwXj+eFh9PaGL6KtVIM3eqHiW4dMyti//wBGBiSx\nyiGcOu+/FAuVClfXxYvOfVpYWDCSAQD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JJ3Sp2BXoPNaxPDuG/TNrJFG9ZyblTs4s4PYH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1gkYJODBMySG1uGGcJl9Ee/8Gz4vuftgmt3rPPtNhZdjsZWGAiUDW011VsvGmdtG5hklp0YMIMo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\nLknyr1FvTKi7/ybJFy9o3k2NXVdVVyY51t0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222 "text/plain": [
223 "<matplotlib.figure.Figure at 0x7fa63ae02b50>"
224 ]
225 },
226 "metadata": {},
227 "output_type": "display_data"
228 }
229 ],
230 "source": [
231 "# Get 100 random returns\n",
232 "returns_vector = np.random.randn(1000)\n",
233 "# Plot the returns\n",
234 "plt.plot(returns_vector)"
235 ]
236 },
237 {
238 "cell_type": "code",
239 "execution_count": 9,
240 "metadata": {
241 "collapsed": false
242 },
243 "outputs": [
244 {
245 "data": {
246 "text/plain": [
247 "[<matplotlib.lines.Line2D at 0x7fa63a4cb9d0>]"
248 ]
249 },
250 "execution_count": 9,
251 "metadata": {},
252 "output_type": "execute_result"
253 },
254 {
255 "data": {
256 "image/png": 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bDtfR69envvukfvrHvYs9NAAAACxRhKAlor46OwQZwSY8alR3pgpBJTaLrBbz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257 "text/plain": [
258 "<matplotlib.figure.Figure at 0x7fa63a559d50>"
259 ]
260 },
261 "metadata": {},
262 "output_type": "display_data"
263 }
264 ],
265 "source": [
266 "# Plot the price of the instrument\n",
267 "# This is the cumulative sum of the returns\n",
268 "plt.plot(np.cumsum(returns_vector))"
269 ]
270 },
271 {
272 "cell_type": "markdown",
273 "metadata": {},
274 "source": [
275 "###Obtaining Statistics in IPython\n",
276 "\n",
277 "We can use `numpy`'s tools to obtain statistics. In this case we're obtaining statistics from sample data, but we would do exactly the same thing had we obtained real market data."
278 ]
279 },
280 {
281 "cell_type": "code",
282 "execution_count": 10,
283 "metadata": {
284 "collapsed": false
285 },
286 "outputs": [
287 {
288 "data": {
289 "text/plain": [
290 "-0.030911955574617102"
291 ]
292 },
293 "execution_count": 10,
294 "metadata": {},
295 "output_type": "execute_result"
296 }
297 ],
298 "source": [
299 "np.mean(returns_vector)"
300 ]
301 },
302 {
303 "cell_type": "code",
304 "execution_count": 11,
305 "metadata": {
306 "collapsed": false
307 },
308 "outputs": [
309 {
310 "data": {
311 "text/plain": [
312 "0.97941100440079165"
313 ]
314 },
315 "execution_count": 11,
316 "metadata": {},
317 "output_type": "execute_result"
318 }
319 ],
320 "source": [
321 "np.std(returns_vector)"
322 ]
323 },
324 {
325 "cell_type": "markdown",
326 "metadata": {
327 "collapsed": true
328 },
329 "source": [
330 "##Getting Real Pricing Data\n",
331 "Our notebooks are hooked up to our database of historical pricing data. You can use the `get_pricing` function to load pricing data into your notebook. The fields we provide it tell it which symbol to get pricing for, and over what time period."
332 ]
333 },
334 {
335 "cell_type": "code",
336 "execution_count": 12,
337 "metadata": {
338 "collapsed": false
339 },
340 "outputs": [
341 {
342 "name": "stderr",
343 "output_type": "stream",
344 "text": [
345 "[2015-04-07 21:28:26.801951] INFO: requests.packages.urllib3.connectionpool: Starting new HTTP connection (1): localhost\n",
346 "[2015-04-07 21:28:26.817650] DEBUG: requests.packages.urllib3.connectionpool: \"POST /api/pricing HTTP/1.1\" 200 5045\n"
347 ]
348 },
349 {
350 "data": {
351 "text/html": [
352 "<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
353 "<table border=\"1\" class=\"dataframe\">\n",
354 " <thead>\n",
355 " <tr style=\"text-align: right;\">\n",
356 " <th></th>\n",
357 " <th>open_price</th>\n",
358 " <th>high</th>\n",
359 " <th>low</th>\n",
360 " <th>close_price</th>\n",
361 " <th>volume</th>\n",
362 " <th>price</th>\n",
363 " </tr>\n",
364 " </thead>\n",
365 " <tbody>\n",
366 " <tr>\n",
367 " <th>2015-01-02 00:00:00+00:00</th>\n",
368 " <td>206.38</td>\n",
369 " <td>206.88</td>\n",
370 " <td>204.180</td>\n",
371 " <td>205.41</td>\n",
372 " <td>96186838</td>\n",
373 " <td>205.41</td>\n",
374 " </tr>\n",
375 " <tr>\n",
376 " <th>2015-01-05 00:00:00+00:00</th>\n",
377 " <td>204.17</td>\n",
378 " <td>204.37</td>\n",
379 " <td>201.350</td>\n",
380 " <td>201.80</td>\n",
381 " <td>135105261</td>\n",
382 " <td>201.80</td>\n",
383 " </tr>\n",
384 " <tr>\n",
385 " <th>2015-01-06 00:00:00+00:00</th>\n",
386 " <td>202.09</td>\n",
387 " <td>202.72</td>\n",
388 " <td>198.855</td>\n",
389 " <td>199.82</td>\n",
390 " <td>169761073</td>\n",
391 " <td>199.82</td>\n",
392 " </tr>\n",
393 " <tr>\n",
394 " <th>2015-01-07 00:00:00+00:00</th>\n",
395 " <td>201.42</td>\n",
396 " <td>202.72</td>\n",
397 " <td>200.880</td>\n",
398 " <td>202.34</td>\n",
399 " <td>105090881</td>\n",
400 " <td>202.34</td>\n",
401 " </tr>\n",
402 " <tr>\n",
403 " <th>2015-01-08 00:00:00+00:00</th>\n",
404 " <td>204.01</td>\n",
405 " <td>206.16</td>\n",
406 " <td>203.990</td>\n",
407 " <td>205.92</td>\n",
408 " <td>114210211</td>\n",
409 " <td>205.92</td>\n",
410 " </tr>\n",
411 " </tbody>\n",
412 "</table>\n",
413 "</div>"
414 ],
415 "text/plain": [
416 " open_price high low close_price \\\n",
417 "2015-01-02 00:00:00+00:00 206.38 206.88 204.180 205.41 \n",
418 "2015-01-05 00:00:00+00:00 204.17 204.37 201.350 201.80 \n",
419 "2015-01-06 00:00:00+00:00 202.09 202.72 198.855 199.82 \n",
420 "2015-01-07 00:00:00+00:00 201.42 202.72 200.880 202.34 \n",
421 "2015-01-08 00:00:00+00:00 204.01 206.16 203.990 205.92 \n",
422 "\n",
423 " volume price \n",
424 "2015-01-02 00:00:00+00:00 96186838 205.41 \n",
425 "2015-01-05 00:00:00+00:00 135105261 201.80 \n",
426 "2015-01-06 00:00:00+00:00 169761073 199.82 \n",
427 "2015-01-07 00:00:00+00:00 105090881 202.34 \n",
428 "2015-01-08 00:00:00+00:00 114210211 205.92 "
429 ]
430 },
431 "execution_count": 12,
432 "metadata": {},
433 "output_type": "execute_result"
434 }
435 ],
436 "source": [
437 "# Get data for the S&P 500 from the start of this year\n",
438 "real_pricing = get_pricing('SPY', start_date='2015-01-01', end_date='2015-03-31')\n",
439 "real_pricing.head(5)"
440 ]
441 },
442 {
443 "cell_type": "markdown",
444 "metadata": {},
445 "source": [
446 "We have all these fields, but we're just interested in the daily reported price for now."
447 ]
448 },
449 {
450 "cell_type": "code",
451 "execution_count": 13,
452 "metadata": {
453 "collapsed": false
454 },
455 "outputs": [
456 {
457 "data": {
458 "text/plain": [
459 "2015-01-02 00:00:00+00:00 205.41\n",
460 "2015-01-05 00:00:00+00:00 201.80\n",
461 "2015-01-06 00:00:00+00:00 199.82\n",
462 "2015-01-07 00:00:00+00:00 202.34\n",
463 "2015-01-08 00:00:00+00:00 205.92\n",
464 "Name: price, dtype: float64"
465 ]
466 },
467 "execution_count": 13,
468 "metadata": {},
469 "output_type": "execute_result"
470 }
471 ],
472 "source": [
473 "# Index in to just get the pricing part\n",
474 "real_pricing = real_pricing['price']\n",
475 "real_pricing.head(5)"
476 ]
477 },
478 {
479 "cell_type": "markdown",
480 "metadata": {},
481 "source": [
482 "Let's plot it to get a sense of what it looks like."
483 ]
484 },
485 {
486 "cell_type": "code",
487 "execution_count": 14,
488 "metadata": {
489 "collapsed": false
490 },
491 "outputs": [
492 {
493 "data": {
494 "text/plain": [
495 "[<matplotlib.lines.Line2D at 0x7fa638a954d0>]"
496 ]
497 },
498 "execution_count": 14,
499 "metadata": {},
500 "output_type": "execute_result"
501 },
502 {
503 "data": {
504 "image/png": 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OXelmVU0BeVmR2Y4VD9YuKWTr2onEprIkk/KizIjH8ND2GpwOGz9589JNZ/eIiAQoyRER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\nAElFTkSuQmCC\n",
505 "text/plain": [
506 "<matplotlib.figure.Figure at 0x7fa63a4d7ad0>"
507 ]
508 },
509 "metadata": {},
510 "output_type": "display_data"
511 }
512 ],
513 "source": [
514 "plt.plot(real_pricing)"
515 ]
516 },
517 {
518 "cell_type": "markdown",
519 "metadata": {},
520 "source": [
521 "Now get the daily percent returns of the stock's price"
522 ]
523 },
524 {
525 "cell_type": "code",
526 "execution_count": 15,
527 "metadata": {
528 "collapsed": false
529 },
530 "outputs": [
531 {
532 "data": {
533 "text/plain": [
534 "[<matplotlib.lines.Line2D at 0x7fa638509610>]"
535 ]
536 },
537 "execution_count": 15,
538 "metadata": {},
539 "output_type": "execute_result"
540 },
541 {
542 "data": {
543 "image/png": 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YG07g1INju74fjYQQDkk9V7ATQkir+e0vv4b/7fe+3+7dAFAKWRAL1iyKiFtYFJloRR1z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\nSZwrue+11t7hXmm7C/hX4BqcgbmNM6TwMj/uFYf65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544 "text/plain": [
545 "<matplotlib.figure.Figure at 0x7fa638a2de90>"
546 ]
547 },
548 "metadata": {},
549 "output_type": "display_data"
550 }
551 ],
552 "source": [
553 "real_returns = real_pricing.pct_change()\n",
554 "plt.plot(real_returns.index, real_returns)"
555 ]
556 },
557 {
558 "cell_type": "code",
559 "execution_count": 16,
560 "metadata": {
561 "collapsed": false
562 },
563 "outputs": [
564 {
565 "data": {
566 "text/plain": [
567 "<Container object of 61 artists>"
568 ]
569 },
570 "execution_count": 16,
571 "metadata": {},
572 "output_type": "execute_result"
573 },
574 {
575 "data": {
576 "image/png": 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3i824r6d1LN6Kx/RjpS/v/UlD0b1JzlgxfUYGZ3xGlXlqV+axa63bWtu3PLOqrkryh+tV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\n",
577 "text/plain": [
578 "<matplotlib.figure.Figure at 0x7fa638a15050>"
579 ]
580 },
581 "metadata": {},
582 "output_type": "display_data"
583 }
584 ],
585 "source": [
586 "# or you can plot the daily percent returns as a bar graph like this\n",
587 "plt.bar(real_returns.index,real_returns)"
588 ]
589 },
590 {
591 "cell_type": "markdown",
592 "metadata": {},
593 "source": [
594 "Finally, let's compute the mean and standard deviation of the S&P 500 returns so far this year, as well as the Sharpe Ratio"
595 ]
596 },
597 {
598 "cell_type": "code",
599 "execution_count": 17,
600 "metadata": {
601 "collapsed": false
602 },
603 "outputs": [
604 {
605 "data": {
606 "text/plain": [
607 "0.00012180751193912783"
608 ]
609 },
610 "execution_count": 17,
611 "metadata": {},
612 "output_type": "execute_result"
613 }
614 ],
615 "source": [
616 "np.mean(real_returns)"
617 ]
618 },
619 {
620 "cell_type": "code",
621 "execution_count": 18,
622 "metadata": {
623 "collapsed": false
624 },
625 "outputs": [
626 {
627 "data": {
628 "text/plain": [
629 "0.008769633527615702"
630 ]
631 },
632 "execution_count": 18,
633 "metadata": {},
634 "output_type": "execute_result"
635 }
636 ],
637 "source": [
638 "np.std(real_returns)"
639 ]
640 },
641 {
642 "cell_type": "code",
643 "execution_count": 19,
644 "metadata": {
645 "collapsed": false
646 },
647 "outputs": [
648 {
649 "data": {
650 "text/plain": [
651 "0.22049203086693839"
652 ]
653 },
654 "execution_count": 19,
655 "metadata": {},
656 "output_type": "execute_result"
657 }
658 ],
659 "source": [
660 "sharpe_ratio = (np.mean(real_returns) * 252) / (np.std(real_returns) * np.sqrt(252))\n",
661 "sharpe_ratio"
662 ]
663 },
664 {
665 "cell_type": "code",
666 "execution_count": 20,
667 "metadata": {
668 "collapsed": true
669 },
670 "outputs": [],
671 "source": [
672 "compounded_returns_series = np.cumprod(1+real_returns) - 1"
673 ]
674 },
675 {
676 "cell_type": "code",
677 "execution_count": 22,
678 "metadata": {
679 "collapsed": false
680 },
681 "outputs": [
682 {
683 "data": {
684 "text/plain": [
685 "<matplotlib.axes._subplots.AxesSubplot at 0x7fa63893b1d0>"
686 ]
687 },
688 "execution_count": 22,
689 "metadata": {},
690 "output_type": "execute_result"
691 },
692 {
693 "data": {
694 "image/png": 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wZHExd95/iM988zEGh8cmPfZEs7MVZCY5MiKS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695 "text/plain": [
696 "<matplotlib.figure.Figure at 0x7fa638af9d90>"
697 ]
698 },
699 "metadata": {},
700 "output_type": "display_data"
701 }
702 ],
703 "source": [
704 "# if you compare this to the plot of the actual SPY above, plt.plot(real_pricing)\n",
705 "# you'll notice it's the same shape except normalized to a starting value of 100\n",
706 "(100 * compounded_returns_series).plot()"
707 ]
708 },
709 {
710 "cell_type": "markdown",
711 "metadata": {},
712 "source": [
713 "#Now we'll explore something more interesting"
714 ]
715 },
716 {
717 "cell_type": "markdown",
718 "metadata": {
719 "collapsed": true
720 },
721 "source": [
722 "#A tutorial on Markowitz portfolio optimization in Python using cvxopt\n",
723 "\n",
724 "Authors: Dr. Thomas Starke, David Edwards, Dr. Thomas Wiecki\n",
725 "\n",
726 "##About the author:\n",
727 "\n",
728 "Today's blog post is written in collaboration with [Dr. Thomas Starke](http://drtomstarke.com/). It is based on a longer whitepaper by Thomas Starke on the relationship between Markowitz portfolio optimization and Kelly optimization. The full whitepaper can be found [here](http://eepurl.com/4Pgrv).\n",
729 "\n",
730 "## Introduction\n",
731 "In this blog post you will learn about the basic idea behind Markowitz portfolio optimization as well as how to do it in Python. We will then show how you can create a simple backtest that rebalances its portfolio in a Markowitz-optimal way. We hope you enjoy it and get a little more enlightened in the process. \n",
732 "\n",
733 "In this post we will use random data rather than actual stock data, which will hopefully help you to get a sense of how to use modelling and simulation to improve your understanding of the theoretical concepts. Don‘t forget that the skill of an algo-trader is to put mathematical models into code and this example is great practice.\n",
734 "\n",
735 "As a final note we would like to point out that from my experience there are a lot of people with IT experience reading these articles who do not always have the in-depth mathematical background. For that reason I try not to jump\n",
736 "too many steps to increase the educational value. So let‘s start with importing a few modules, which we need later and produce a series of normally distributed returns. `cvxopt` is a convex solver which you can easily download with\n",
737 "`sudo pip install cvxopt` (it is already available on the Quantopian research platform).\n",
738 "\n",
739 "## Simulations"
740 ]
741 },
742 {
743 "cell_type": "code",
744 "execution_count": 23,
745 "metadata": {
746 "collapsed": true
747 },
748 "outputs": [],
749 "source": [
750 "import cvxopt as opt\n",
751 "from cvxopt import blas, solvers\n",
752 "import pandas as pd\n",
753 "\n",
754 "np.random.seed(123)\n",
755 "\n",
756 "# Turn off progress printing \n",
757 "solvers.options['show_progress'] = False"
758 ]
759 },
760 {
761 "cell_type": "markdown",
762 "metadata": {},
763 "source": [
764 "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."
765 ]
766 },
767 {
768 "cell_type": "code",
769 "execution_count": 24,
770 "metadata": {
771 "collapsed": true
772 },
773 "outputs": [],
774 "source": [
775 "## NUMBER OF ASSETS\n",
776 "n_assets = 4\n",
777 "\n",
778 "## NUMBER OF OBSERVATIONS\n",
779 "n_obs = 1000\n",
780 "\n",
781 "return_vec = np.random.randn(n_assets, n_obs)"
782 ]
783 },
784 {
785 "cell_type": "code",
786 "execution_count": 25,
787 "metadata": {
788 "collapsed": false
789 },
790 "outputs": [
791 {
792 "data": {
793 "text/plain": [
794 "<matplotlib.text.Text at 0x7fa6389c9b10>"
795 ]
796 },
797 "execution_count": 25,
798 "metadata": {},
799 "output_type": "execute_result"
800 },
801 {
802 "data": {
803 "image/png": 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H+fqPMJ6/we3335eG6bYnuHlrG2+8eStzvGe9SzTGbdz58FeJHtXGUxPD4XPs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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",
804 "text/plain": [
805 "<matplotlib.figure.Figure at 0x7fa6389d1150>"
806 ]
807 },
808 "metadata": {},
809 "output_type": "display_data"
810 }
811 ],
812 "source": [
813 "plt.plot(return_vec.T, alpha=.4);\n",
814 "plt.xlabel('time')\n",
815 "plt.ylabel('returns')"
816 ]
817 },
818 {
819 "cell_type": "markdown",
820 "metadata": {},
821 "source": [
822 "These return series can be used to create a wide range of portfolios, which all\n",
823 "have different returns and risks (standard deviation). We can produce a wide range\n",
824 "of random weight vectors and plot those portfolios. As we want all our capital to be invested, this vector will have to some to one."
825 ]
826 },
827 {
828 "cell_type": "code",
829 "execution_count": 26,
830 "metadata": {
831 "collapsed": false
832 },
833 "outputs": [
834 {
835 "name": "stdout",
836 "output_type": "stream",
837 "text": [
838 "[ 0.54066805 0.2360283 0.11660484 0.1066988 ]\n",
839 "[ 0.27638339 0.03006307 0.47850085 0.21505269]\n"
840 ]
841 }
842 ],
843 "source": [
844 "def rand_weights(n):\n",
845 " ''' Produces n random weights that sum to 1 '''\n",
846 " k = np.random.rand(n)\n",
847 " return k / sum(k)\n",
848 "\n",
849 "print rand_weights(n_assets)\n",
850 "print rand_weights(n_assets)"
851 ]
852 },
853 {
854 "cell_type": "markdown",
855 "metadata": {},
856 "source": [
857 "Next, lets evaluate how many of these random portfolios would perform. Towards this goal we are calculating the mean returns as well as the volatility (here we are using standard deviation). You can also see that there is\n",
858 "a filter that only allows to plot portfolios with a standard deviation of < 2 for better illustration."
859 ]
860 },
861 {
862 "cell_type": "code",
863 "execution_count": 27,
864 "metadata": {
865 "collapsed": true
866 },
867 "outputs": [],
868 "source": [
869 "def random_portfolio(returns):\n",
870 " ''' \n",
871 " Returns the mean and standard deviation of returns for a random portfolio\n",
872 " '''\n",
873 "\n",
874 " p = np.asmatrix(np.mean(returns, axis=1))\n",
875 " w = np.asmatrix(rand_weights(returns.shape[0]))\n",
876 " C = np.asmatrix(np.cov(returns))\n",
877 " \n",
878 " mu = w * p.T\n",
879 " sigma = np.sqrt(w * C * w.T)\n",
880 " \n",
881 " # This recursion reduces outliers to keep plots pretty\n",
882 " if sigma > 2:\n",
883 " return random_portfolio(returns)\n",
884 " return mu, sigma"
885 ]
886 },
887 {
888 "cell_type": "markdown",
889 "metadata": {},
890 "source": [
891 "In the code you will notice the calculation of the return with:\n",
892 "\n",
893 "$$ R = p^T w $$\n",
894 "\n",
895 "where $R$ is the expected return, $p^T$ is the transpose of the vector for the mean\n",
896 "returns for each time series and w is the weight vector of the portfolio. $p$ is a Nx1\n",
897 "column vector, so $p^T$ turns into a 1xN row vector which can be multiplied with the\n",
898 "Nx1 weight (column) vector w to give a scalar result. This is equivalent to the dot\n",
899 "product used in the code. Keep in mind that `Python` has a reversed definition of\n",
900 "rows and columns and the accurate `NumPy` version of the previous equation would\n",
901 "be `R = w * p.T`\n",
902 "\n",
903 "Next, we calculate the standard deviation with\n",
904 "\n",
905 "$$\\sigma = \\sqrt{w^T C w}$$\n",
906 "\n",
907 "where $C$ is the covariance matrix of the returns which is a NxN matrix. Please\n",
908 "note that if we simply calculated the simple standard deviation with the appropriate weighting using `std(array(ret_vec).T*w)` we would get a slightly different\n",
909 "’bullet’. This is because the simple standard deviation calculation would not take\n",
910 "covariances into account. In the covariance matrix, the values of the diagonal\n",
911 "represent the simple variances of each asset while the off-diagonals are the variances between the assets. By using ordinary `std()` we effectively only regard the\n",
912 "diagonal and miss the rest. A small but significant difference.\n",
913 "\n",
914 "Lets generate the mean returns and volatility for 500 random portfolios:"
915 ]
916 },
917 {
918 "cell_type": "code",
919 "execution_count": 28,
920 "metadata": {
921 "collapsed": false
922 },
923 "outputs": [],
924 "source": [
925 "n_portfolios = 500\n",
926 "means, stds = np.column_stack([\n",
927 " random_portfolio(return_vec) \n",
928 " for _ in xrange(n_portfolios)\n",
929 "])"
930 ]
931 },
932 {
933 "cell_type": "markdown",
934 "metadata": {},
935 "source": [
936 "Upon plotting those you will observe that they form a characteristic parabolic\n",
937 "shape called the ‘Markowitz bullet‘ with the boundaries being called the ‘efficient\n",
938 "frontier‘, where we have the lowest variance for a given expected."
939 ]
940 },
941 {
942 "cell_type": "code",
943 "execution_count": 29,
944 "metadata": {
945 "collapsed": false
946 },
947 "outputs": [
948 {
949 "data": {
950 "text/plain": [
951 "<matplotlib.text.Text at 0x7fa6382c5750>"
952 ]
953 },
954 "execution_count": 29,
955 "metadata": {},
956 "output_type": "execute_result"
957 },
958 {
959 "data": {
960 "image/png": 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BqHj5JBn5VEKCKl8L507VwrlTc07WMlXRSJqqT71VEgEA+SPBAgBXpspXrslP\nVFU0Jn5IVa4qEkkxACAsEiwAFa+USUaUY4DSbSuX46mXiR/CJE61UkWiqyEA1DYSLAAVr9aSjHTH\nky7wrvWJH8ImTrlWkaJMZKJK8mslSQQApEeCBaAq1FqS4T+eeg68i9H9LurzGVWST1dDAKh9ZU2w\njDFnSlosaZSkn1trrwlY5jpJZ0kakPRpa+0qY0yzpEckjZXUJOmP1tqvlq7lAKpFtXTHIvDOLpcq\nUjHOZ60l+QCA4mgs146NMaMkXS/pTEnHSPqEMeZo3zJnS5purZ0h6XOSbpAka+2QpNOstTMlvUfS\nacaY+aVsP4DKl6hi3HTX87rprud12bUP6+2BWLmbVTR9/TEtWdGjJSt61NdfPce5YFanOia0JH9O\nlzglqkgXffQ4XfTR46qywhf2WAEA1aucFazjJXVbazdKkjHmNkkflrTWs8y5km6WJGvtk8aYCcaY\nd1hrX7fWDrjLNMmpgL1ZspYDSMtfMcr2fjErStVUFSp0jE81dzHMpftd2CpSpc6+WGvjCQEAI5Uz\nwTpU0mbPz1sknRBimU5Jr7sVsC5JR0i6wVq7pohtBRAgKJnyB/mfff+BKctXaxJQbIUG3tWUTAaJ\nuvtdJScydDUEgNpWzgQrHnK5hqD1rLXDkmYaY9olLTPGnGqtfTjThrq6unJuJCoH16+yDOwe1o33\nbVPfwLAk6dZla3T8jPEjgvznN45V61jn2q34a9+I93/1h8d1ghlflDa2Nw6rrXVUso1traPU3rhD\nXV1vFWV/UTjE7T324trc2rhp066A1zZHcqzV/N3L93zWimq+duD6VTuuX/0qZ4L1iqQpnp+nyKlQ\nZVqm030tyVq70xizVNL7JD2caYdz5szJt60os66uLq5fhVmyokd9A1uTP/cNDGsw3ipp54hl58yZ\no77+mP7jrj+PeO9d75qiOXOKdzd/5sxYRVQxit01csZRMT29/uGULnEXfuTEgo+X71714tpVN65f\ndeP6Va8oEuNyJljPSJphjJkm6VVJF0j6hG+ZuyVdKuk2Y8xcSb3W2teNMR2S9lpre40xLZI+KOmb\npWs6gCDTOyfIbupNCfKPm9YqyenC1j+4J2X58S1jdMrsTvX1x/TAExvVvaVX06ccqDNOmBpZAlIJ\n3bFK0TWykrvEAQBQT8qWYFlr9xpjLpW0TM4kFb+w1q41xlzkvn+TtfZeY8zZxphuSf2SPuOufoik\nm40xjXKTu346AAAgAElEQVRmQvyVtfYvZTgMoG4FTSKw8MRpWnjitJQg/8W1z6fdxnmnT1c8Ln3x\new/pzb4hSdLK1Vu1ZEWPfnTlaTWTIJRqfFQlJJMAANS7sj4Hy1p7n6T7fK/d5Pv50oD1npc0u7it\nA5BJomKy7PH9lad43Hk9KMgPTMjmOslYIrlK2LFzqKomaAAAAEgoa4IFoLrF49LSxzZqe++gVq7e\nqqUrN6Tt+lbPXdgqdcpwAAAQPRIsAIHCTMqQa9e3oC5sC2Z16va/vJRSxZrY3pw2ASnlc7SiUs/J\nJQAA9YYEC8AImSZl8CY4Q7v3FryvtnFNuv4rp2nZExvVvdnparhw7tTABKSan6PF+Kj6VY03BQAA\n+SPBAjBCusrUglmdKQnOxPZmHdTWnKw+5dv17YDWJp1/+pF5tyvKxIVgGFGq5psCAID8kGABCM2f\n4OzYOaRPnXOMmptGSar+rm8Ew4hSX39MP7njuZLMIAkAqByN5W4AgMqzYFanOia0JH/OVJlqbhql\nRfMP16L5hxc9EcmlXflIVyEDcpVI1leu3pp9YQBATaGCBWCEdJMylHs2PCaLQLXwJ+sJE9ubNRTb\nqyUreuiCCgA1igQLQKCgSRkKSXCiGttUzMkiokggGcOFdI5/9zvVvblXNy9dK4kuqABQq0iwAOQk\nnwSnWsY2FVohy+U4ScRqW1CyfvS0A/XUX19LLsN4LACoTSRYAIquFLP/RaWQClnY46yUhJMkr3iC\nknXG8wFAfSDBAmoAgXJ1qYSEs1KSvFrmT9bLPYYRAFAaJFhAHnJNaIqZAFVDoFwvgWU1HWclJHn1\nhklaAKA+kGABOco1oSl2AlQNgXK9BJZhj7OaEjFEq5iTtAAAKgMJFpCjXBOaYiVAiarYC+u357yO\nlFpJK0UXw3oJLMMcZyUknCR5AAAUBwkWUIX8VbHGhgbti8clSeNbxmi2mZR1nUQlLR5XxXcxrEXl\nTjgrIckDAKAWNZa7AUC1WTCrUx0TWpI/Z7vzn+vyYfirYvvicY0Z7Xyddw3u0Vd/slJvD8QyrpOo\npKV7HbUvkeQtmn84yRUAABGhggX4ZOsul+ud/7DLF9pNb8/efcl/v9k3pGVPbNT5px+Z0zYAAABQ\nGBIswCPshBS5du/KtnyuE2H4x880jWlUbM++lGW6N/em/DzLTErpStjY0KA5R03SuJYmxuIAAABE\nhAQL8HjgiY0jusste3yjmsc6X5V8J4DIVp3KdSIMf1Vs566YbvuTTVlm+pQDU35eZbclkyvJ6VbY\ntW6bFs0/vChjcRLHvGnTLs04KlbUZ3PxHDAAAFApSLAAV19/THc+1D3i9Tsf6tauwT3Jf+c6AUSx\npmn3VsX6+mP601Mva8fOIUnSxPZmLZw7Nes2EjMQLpjVmdeEC5lmJfQe89PrHy7axBnV8Bww1D6S\nfABAApNcAK7lq7YkE6mEpjGNKa/lMwFEmEkkCp0Io21ck3505Wm66KPH6aKPHqcfXXnaiATDv4/G\nhgatXL1VN931vC679uERk2Jkk0hsbrrr+RHbKOXEGUzSgXLL9F0AANQfKlhABscePlHP2jci3663\nctQ2rimSKbOzjfPy7uOF9du1cvXW5Hv5PJurGh5wDJQC3wUAgBcVLNSsvv6Ylqzo0ZIVPerrD76b\n7F1mlpmUUuGZ2N6snlf7Upaf2N6sU2Z3htp2QtjKUSmmzE7s49gjOoqy/YRiTE1fCfsCAADIhgoW\nalKYcTn+ZTomtOjbF5+krnXbJElDsb26eenalO0umn9Yzg/mjbpyFAX/LIT+pCTMeJJM2/Ae86ZN\nm3XhR04sWtLIA3NRbtm+TwCA+kKChZoUpstO0DKJWfUkacmKnhHbbW4anVd3IG/3PW+CVS6ZkpKw\nk0ZkS2wSx9zV9VbRE56w0+bX+0QE9X78xUKSDwDwIsEC0kh3V7qQCRTC3OkuVRDsT0oS+31h/fbQ\nCWSuzwMLqxjnoN5nG6z34y+2Yn0XAADVhwQLNSlMIpNtmXR3pQvpDpTtTne5gmD/fv1eWL+9ZBWP\nYp2DMJXHWq7wMBEDAAClQYKFmhSmy066ZfxBtj8ALaQ7kH/b/vXKFQT79+u3cvVW2U29JUn2ynUO\nqPAAAIAokGChZoXpsuNf5pU3dumKHy5Xf5YHC+fTHajaAvjDJ7elzKJY7RWPbJXHWq/wMBEDAACl\nQYKFqlSsMTpXepIrKdogO0wAX6wgONv5CtrvybMOHTFNfSkU6xzU+0QE9X78AACUCgkWqk4xx+js\n8iRX+bSr0KSvGEFwmPMVtN94XFq6cmPJKx7FTAQyVR7rocLDRAwAABQfCRaqTim7co1rGRMqyA6T\nxIQN4KMOgsOer6D9lqviUY5EgAoPAACIAgkW4PInQONbxujayxeECrLDJDHVGMDXW8Wj3o4XAABE\njwQLVaeax+iUI4Cv9K5vtTw1OgAAqD8kWKg65Rqjk0klJzHpxlctWdEjqbxJjb9r5a/vX6drL1+g\nyR3jy9IeAACAQpFgoSrlO016tkpJvtWUSu/+5z1flTRdvL9rZf/gHl2xeLl++rUP5NWeSqmGVUo7\nAABA6ZFgoSSyBZzFDEj7+mN64MmXdceDL2V8vtUrb+zSlT9cnpxJMNfEo1rG75TjeU+5XN9dg3vy\nak+lJI6V0g4AAFAeJFgoumwBZzEDUv+2E/xJRV9/LOUBw0HLVLtEkvPC+u05ryPln/gO7B5Oe30X\nzOrUr+9fl3Le81UpDwqulHYAAIDyaCx3A1D70gWcYd+Pct+ZlosiyK9UiUTzprue18rVW9XY0JB8\nL914Me86N931vC679mG9PRDLed/PbxxMe33bxjXp2ssXaHzLmKztAQAAqAZUsFCxvNWT9sbhSLc9\nPsTzrcIsUy38iea+eFzz3nOIjj2iI+14sVJVYiZ3jNdPv/aBgsev+ScaaW0erZ27dmvJip7Q3VKj\nqNhV8oQnAACg+EiwUHTZAs6g92cfNSmlW1lb6yjNnBnLOfBeMKtTv7l/XXJcVcJ5p0/P+BDgcTk8\nA6taHXtER0m6rR03rUVPr9+dMeGIYvxa27gmXX3xSbpisTOObmBor27704uSwnVLvfrik3TVDY8V\n3FW10ic8AQAAxVXWBMsYc6akxZJGSfq5tfaagGWuk3SWpAFJn7bWrjLGTJF0i6RJkuKSfmqtva50\nLUcusgWcQe8/8mxq9aRvYDiv6knbuCZ9/7IF+ifP+KqOCS1aOHdaTm2sdvlUVaKqxLSOHaXrrjhV\ny554Wd2b39L0KRMUj+d+DGE8u27biGRaGll9C6rO3bJ0TWQVu2qZ8AQAAESvbAmWMWaUpOslfUDS\nK5KeNsbcba1d61nmbEnTrbUzjDEnSLpB0lxJeyR92Vr7nDFmvKQuY8yfvOuifIK6WSUmNFi+aose\neXaLZplJWmW3pSxTrIB08sHj9bMQXdC8QX+xEoAo5NuN7Zx509S9uVfTpxyohXOnZk0go0w643Fp\n6coN2t47qJWrt2rpyo0FTWTCNOgAAKBSlbOCdbykbmvtRkkyxtwm6cOSvEnSuZJuliRr7ZPGmAnG\nmHdYa1+T9Jr7+i5jzFpJk33rogzSzQgYjyvl9caGBu1zs5igrlj+6klb66hQ1ZN0gXe2ikKpp9bO\nNUFILD8UG9Y9j/bozb6h0O30H5vd1KuFc6eGamdUlZgox3Nlulb+z01CmG6pnzznGNlNvYydAgAA\nBSlngnWopM2en7dIOiHEMp2SXk+8YIyZJmmWpCeL0krkJNOMgP5JFvzLeINtf/WkvXFH1mSnkCQp\nbAIQReUk13amm2o+UzvzObZqkel4vJ+bodheSQ1qbhoVqlvqAa21002UCh8AAOVTzgQrbCesBt/P\nyfXc7oF3SLrMWrsr24a6urrCtw552bRp5GV49JluTT5oTMDS3vU2q6vrrRGvH9Li/H9gd1w/+e0j\nkpxJE1rHjhqx7JN214jA+1d/eFwnmPF5tdvfpoHdw7rxvm3qG3BmNLx12Rp9/qx3qHVsbk87yLWd\n/uWztXPk+9mPrdjaG7errXVU8ty1tY5Se+OOvNoQ5ngOaZHUsv/9F9cG7yfx+fK+H/TawO5hPb/R\nuQbpPn+FimofUX1OvfjdWb24dtWN61fduH71q5wJ1iuSpnh+niKnQpVpmU73NRljxki6U9KvrbV/\nCLPDOXPm5N1YhDPjqJieXp9abVmzeVCv7YxrYnuzdux0urZ5uwh2TGjRhR85MWMF5+LvPpAMGJ9e\nvzuw4rN1sEfq6k157V3vmqI5c7JXavztHt8yRh/54BxNPnh/0rNkRY/6Brbub9fAsHbum6iTQ2w/\nbDuDKg9ByydkO3dBxxZmnSh1dXXp5JOO18yZsUiqQ4UcTz6VHX8FMd3nrxBR7iOqz2lCV1cXvzur\nFNeuunH9qhvXr3pFkRiXM8F6RtIMt4vfq5IukPQJ3zJ3S7pU0m3GmLmSeq21rxtjGiT9QtIaa+3i\nErYZWSS6Xv349ue0cvX+IO/NviF96pyj1dzkfOTmHDVJXeucSS6yBdvLV21JJldS+i5uhcx61zau\nSVd//qTkbIO7BvfoqhsfK8o4rHTtTNd10L/8xPZmLZp/mJqbRodKVCplhsSoxnPlezz5diEtRhdL\nf6JXa904AQCoZ2VLsKy1e40xl0paJmea9l9Ya9caYy5y37/JWnuvMeZsY0y3pH5Jn3FXnyfp7yWt\nNsascl/7qrX2/hIfBgIc0NqkY4/oSEmwJKm5aXRKwLhofvaue2ElAtZz5h0mxeNqHhsu+fB61m5L\nTuUujQxyo5q2PF2CsGRFT9ogu9AEyZvc9PXHtGRFT/KYMlVxKnUsTz7JWqUkMUGJ3jnzDots+zzo\nGACA8irrc7CstfdJus/32k2+ny8NWG+FpPwHFCBQtmA6l2A7U5CXa9C+YFanbl22JlnF8geM/oC1\nY0JLUSpP6RKjfJKQXBOEqKo/uVRxSj2zYqWKOmEJSvQUj6tjQksk+6iUiiUAAPWqrAkWKke2YDrX\nYDtTMpJr0N42rkmfP+sd2rlvYsq2EqKqTIQJpP2JTpRJSCkqD7mcq1LOrFgK+Z7fUiQszWNHR7oP\nHnQMAED5kGBBUvZgOp8kJijIyzcZah3bmPcg/bDyCaSj7HZWrEDemwAN7d5b8Pb8266WKlch5zfK\nh1CnS/RIigAAqA0kWHUuEXy/sH57SfY3FBvOvlCOoqz8hA1yi3Xeog6y/QnQxPZmHdTWnHxQcaZz\nFea8Vsq4prDyOb9RJ5F04QMAoLaRYNUxf+DonzrdG0xHkcT09cd0z6M9Ka9NbG/Oup2+/pietLu0\ndbAnsAtalAGrv7ubpBHd33I5b+XmT4B27BzSp845Rs1NzjOWMp0rEgFHMZJIqlUAANQuEqw65g8c\n98XjmveeQ3TsER0jgukogu3lq7YkKycJi+YflnE7KclMV2/a6kEUAas/cbrjwZcUjyvZ5sS+czlv\nlah781s69ogOLZiVva3Zzisz1gEAAKQiwUKKY4/oSBtQF+Oue+K5WH7eLnil6oIWVO3xSuw7SKbz\nVipBk034E6DGhgatXL1VK1dvjWS8VD1UuUgiAQBALkIlWMaYD0g6wrN83Fr7k6K1CiXhDxzHtYzR\n7KMmlWx/6QJVfyWp0lRiwJ1unJA3AXph/faUZ5OFTVazzRJY693d6iGJBAAA0cmaYBljbpY0R9Kz\nkqKfoQBl0zauSVdffJKuWLxcuwb3qH9wj6664bGizQIXNlD1V5K8MiVlhU4VPstM0viWMdrlPmx4\nYntzShdB72xvlRZwZxon5E2A/A9/zqaaZgksplpPIgEAQHTCVLBOlPRua+2eYjcGpeGftjuRUEjF\nnwUu30D1mCktOvl90wOTmSiSgL7+mP7txseS52Jcyxh955J5Gt/aFJhIVUPA/cL67SnJpr/ydlBb\ns4Ziw1qyInjyEKmyZwmsludvofj4LAAAKkmYBGuzpIZiNwSl0dcf05e+/1ByfNG45sxjoKTSByxB\nXfAWHX+gTj4pOKiPIgnwb6N/cI+61m3TovmH592FrpTn0H/OJKdaZTf1JpNNbwVxaPdeLVm5QTcv\nXSOp+ipTVNaQwGcBAFBpwiRYL0r6szHmD5J2u68xBqtKPfDkyymTN/QP7VVr82gNDDkPoJ3Y3qyd\nb+/WRd/5c7KaU+qAJagr4Ytrny/JvnOVLriLx1XSoC9xzn58+3MZx1klKm9LVvSkfA7SJaWVON5M\nquzKGkqLzwIAoNKESbBaJPVIOq7IbUGReCspazfsGPH+wRNadOrsTqmhQfc82qPb/vxiyvuJgGXB\nrM6MFZlX3tilX93rVEQuPPsYHXrw+BH7D1vJyaULXqYkIMxzrbJtI5N0wV3i3/7Xixn0HdDapGOP\n6Mh5nFUmTPAAAACQm6wJlrX20yVoB4rEX2EJ6hL48mtva+ljG3XOvGkjnlOVMBQbzliReeWNXbrk\nmgeTD9x9/PnXdOO/nq59cenKHy4vajUsXRLgP/bb//KSGhr2T7/ubUstJBJ9/TEN7d6bMlFHukQx\nl4SyEsebVWplrVQYc7RfvX8WAACVJ+w07UbSeyU1J16z1t5SrEYhOiPGFvm6BCZs7x3U2g1vBm5j\nfMsY7Y4NZ6zI/OreNcnkSnIevvvzu/+qv/bsUH8JJtEISgL8x+5PHtN1nwuSLqBNF9zF4ypp0Dci\nkW4Zo/NPn6GFc6cGJorVnlCmjCeLDUuKJ6ustZ5sMOYoVbV/lgEAtSfMNO2XSfqcpMmSnpJ0sqRH\nJJFgVamPvf9IdW9+a0RXshd6RnYflKRdg3t0z4qeEa8P7d6rJe7re/buG/H+9rcGUpKrapUpoM0U\n3JUy6AuapKO5aVTGfXoTyr7+WPJaVkuSckCr8yDleks2GHM0UiVWWQEA9StMBetzkk6QtMJau9AY\nc6ykfy9usxCVoArLwrlTdcYJU2U39SZf93YrC9I/uCdlmYPamrVk5YZkd7v28akBbWNDg45/9zvV\n82pfyuvjW8aUrPtO0LTk3i6ChY6zylb5qpagr1orIn39Mf3kjudINgAAQEUJk2ANWWt3GWMajTGN\n1toXjDFHFr1liETYCstQbK9uXro247bOO326mptGu8sPJ6f4lqSdu2LJfzeNadQ1X5ivSQeN05+f\n3pzSbe3ayxcUHLiHnbgi6NglJX+ebSYl/12JVZtcxtkUMg6lGisi/qSwnjDmCACAyhYmweo3xjRJ\nWi3pu8aYLZIai9ssRClMhaWvP6alKzcmg7aJ7c2Kx/ePW3IqX9OSydGSgC6DCbE9+7Tu5bc0fcqB\nkXeT6+uP6YvfeyjZrt/96UWNGtUQOHFFumNfNP/wnKo2YQPaKCceyLWqVMvjUILOqz8pTKiHZKOW\nrzUAALUgTIL1BUlNkq6Q9G1Jh0u6sJiNQullq/b4g7igB9t6ORMPRN9N7oEnNqZMVtG7a3fK+2Gr\nL7lUbcIEtFF3s8unqpTvua7kiki68xpk3nsO0Rc+NrMuko1q6X4KAEA9CjNNe+IJr7sk/UNxm4NS\n6+uP6YEnX1b35rc0vXOCzpg7LaXyki6I8yYdq+w2PbXmdd8S8RHrRFHh6d7Sm/M6Uew3W0Bbjm52\nUVXMKrkiku68BiWF9ZJcAQCAyhZmFsEjJf2npE5r7TRjzGxJ51prv1HsxqG4+vpj+tL3H0p2r1u5\neqvuWbFB13/ltLSBqj+oTyQQ/gQrMVbLu14UFZ7pUw4cMfuhd9p5f/Ul3X4LqdqU4hlE2doXdcWs\n2ioilZwUAvni+WYAUBvCdBG8QdLVkr7j/vw/kn4t6RtFahMKFOaPdGIGtkRylfBm31DaykshyUpU\nFZ4zTpiqJSt6ku2e2N6s71wyT13rtkkaGWhn2m8+AXoxErYg2RKIapyYIh+Zzmu1JYVAJtU6mycA\nYKQwCVa7tfY+Y8y3JclaO2yMiWVbCeUR5o90vjOwBQX1yx7fqOaxo3XOvMOkeFzNY0cXtZrQNq5J\nP7rytBGJx6L543PeVj4BetQJW9TtK4VS3mUvtFJFRQDVol5umqC4+J0HVIYwCdZedxZBSZIx5lBJ\nw8VrEgoR5o90uhnYJOdZUblUXu58qDv5bKyOCS0Fz8QXRi6JR6H7DZoSPop2FapcE1OU4y57vueV\nikBhEp/9TZt2acZRMQK1CkDwjEz4nQdUjrBdBP9bUocx5puSPinpqqK2CiV3+OQ2nTzr0ORU7EF/\nyP1B/Tjfw4kLnYmvGArZb9Afq6svPkkdE1rKPuOe97iGdu+VGhqSkz8UM+iqprvs1dTWSuP/7D+9\n/mECtSIr9bhL1B5+5wGVI8wsgjcbY3okfUhSi6RPWmsfLXrLkJegJGj2UZMyLtMxoUXfunhe8g91\nuj/k/mTF/7DhbMrV5S3f/Qb9sXp23baKmVzhgFYn6Y0y6Mp2hzwx/T5qG4Fa6THuEgBqR5gKltyE\niqSqCrSNa9LVF5+kKxYv167BPeof3KOrbngsJehOqX7EhiXFU6ofmf6Qj3w48YbksuNbxmi2mTSi\nTenk0t1lYPdw8uHG5e4aU0ljo6IMurLdIe/rj+meR1MfMD2xPbcupaVUyc/3AoJU0u8WVB9+5wGV\nI8w07UfJ6RI43bN83Fp7fDEbhtwlEpYX1m/P2nUvU/Uj7H6Gdu/V/JmTde/KDYrt2addg3t01Y2P\nBVZQgsYyha289PXHdON929Q3sDXrslGq5T9WQclttmRt+aotKQ95lqRF8w8rexeldIk6U7nnr5Y/\n+9WKa4Js+J0HVI4wFazbJd0i6ZfaP7nFyKfIoqzymRkwl4e4Jv6QZ9tPUDIXVBk5Z95hoSsvy1dt\nUd/AcKhlo1QNf6zyCbrSVary4X/eWallq7pVYkWgGiYq8H72N23arAs/cmLFffbrTTX8PkL5VeLv\nPKAehZpF0Fr7H0VvCQqSaWbAXO90Jv6QL3t8o7q39Gr6lAMVj2ffT8LQ7r0Z27a9d1Ddm9/Kul4l\nqPQ/VvkEXfkk1lJl3kGvtnEp1TRRQeKz39X1VkW2rx5V+u8jAIAjTIL1J2PM2dbae4veGkRq3nsO\n0bFHdKQNujMFzPG4tPSxjdreO6iVq7dq6coNoascS1Zu0MITp2UMyqZ3TtDajW+ldDlLt96CWZ26\nddmaZBWrEgL7MEpVqYgq6MqWrBXrDno1VHSiUm0JIQAAyF2YBOsBSX80xgxL2u2+FrfWhp/NAEUX\nlCx94WMzUyYoSASxs8wkrbLbJElXX3ySnl3n/NsbMIetcgTZsXMoJWgMatvCE6dJDQ0psxD610to\nG9ekz5/1Du3cN3FEO/NRioC+kisV2RLrhHhAR+Co76AXep4qsaoGAADqW5gE66eSPiVplXjAcEVK\nJAznzDtMisfVPHZ0ShLiD2IbGxq0z42eMz0cOIi3irHz7d3644oeDQ5l7tqXrvLR3DQq9DG2jm3U\nyXNGBva5JkulSnwquVKR7nqUIyks9DxV27iUakoIedAwAAD5CZNgbbfW3lH0liAv/qA4KGF64ImN\nKUHsPk9pIl1AmykQTFQx7njwpcDkKihoDKp8FBps5pMQ5BvQ11o3tqDrUclJYSbVNC6lWhJCHjQM\nAED+wiRYfzDGXCzpd5KSA2astQNFaxVCyxQU9/XH9MATG3Xrn2zGbbywfruk3Ke4Dpqo4vDJbSkP\nLc6k0GAz6oQgXRKVTyIXZaWi1pI7r2qq6ESlGhLCak22AQCoBGESrG+5//+x57W4pPD9u1BymaZT\nb9D+efYbGxq0cvVWrVy9NXCK6wWzOrV81ZaUBxEnTO+coJWrt6Zsu2NCS+DYnXRKHWymC+gzJVH5\nBJtRVSpK2W2vWElhe2P6nsXVUtEBAAAIK2uCZa1tLEVDkJ90QfEjz6afTv2CDx6p9vFj9cL67SkJ\nkncii+WrtmgoNqx7Hu1JzvTnD+7PmDtN96zYkDIT4FNrXtdl15amO1E+CYE3oB+KDUuKJ/+dSxLl\nrJtZFMljKSsJmZKdXKpo/qSwrXWUZs6Mpf08VENFp97UY2URAIColPcpoShY2oQhzTOlOia06NwF\nRySDXX8Faig2nLby5Q/u28Y16fqvnKYf3/5cYKKWWK5YXdzyqX4k2uJPHse1jEm7zoJZnbrjwZe0\nY+f+RPKeR3t00nGH6Fl3NsZa6boXlOzkWkXzJ4V9A8N0L6syUTxouJa7tgIAkAkJVg1IdOXzBsET\n25t1UFtzSgJx/ukztHDu1GSgFHSXWopnfZCwf9/HHtExIlFLKHYXt8SxP/DERv349uc0fcqBOuOE\nqYHBXKZuk/2DezS+ZYx2De6RlHrHvm1ckxbNP0w3L12bXP7NviF9efEjGnAn+ShG172+/piGdu8d\n0a7ZZpKWrOiRVHjgGiYIDqqi/fj253TsER0EzjWskAcNV/JjCgAAKDYSrBrhD4J37BzSp845JjkV\nuncqbm9w7q8AJf4dpGNCi2YfNTK4z9SdqNhd3Pr6Y/ri9x5KJpIrV2/VkhU9+tGVp40I5vxt8Tvv\n9OlqbnK+Ev5qWOJ1rwHPDIrFOC5vgJpIkE867hBddeNjkQSuhQTB6cbtSSMT97bWUXQvqzNMkgEA\nqGdlTbCMMWdKWixnwoyfW2uvCVjmOklnSRqQ9Glr7Sr39f+UdI6kbdba40rX6sqUbkyQt5veHX95\nUXc+1J2shvzm/nU67/TpOuOEackqhD84ntjerEXzD1Nz02jNPmqSrrphZHBfiokKBnYPB1Ztlq/a\nkjIGTEr/wOJMOia0aOHcaWnbvWBWp35z/7rkuSs2f4DaP7hHzU2j9KzdFlngGjYIzvRw6aB1/J+H\n9sYdVC4AAEDdKFuCZYwZJel6SR+Q9Iqkp40xd1tr13qWOVvSdGvtDGPMCZJukDTXffu/JP1I0i2l\nbXmFCpy6z3ktXde4XYN7dPPStVq6cmOyCpEpWVqyoiewq9gl5890u9GNDPL9wfm4ljEaig2rrz/8\ng+gqn2EAACAASURBVEv7+mO68b5t6htwuiHmW7XJlDxmSwrbxjXpvNOnp3QT9KrGSQDSjdPz834m\n/BOjpOMdy9XVNXI6/3xU65ieam13IZgkAwBQz8pZwTpeUre1dqMkGWNuk/RhSd4I9lxJN0uStfZJ\nY8wEY8w7rbWvWWsfNcZMK3GbK1Jff0zdW3pHvJ7o1pata5y/CpHLrG4rV2+V3dSbNuFJBOfLHt+Y\nrJ7dvHSNlq7cEDpJWr5qi/oG9lfovO1dMKtTt//lpZQq1sT25sBgLlulLVsgfMYJ07R05ca8ErSw\n+0hIl5geN71DjQ0NyYdFNzY0aM5Rk7LuN6gdS1ZuSHntoLbg8ybt/0wsmNUpu6m35IFzoWN6ypXk\n1OtYpFqefr8eE2YAQG7KmWAdKmmz5+ctkk4Iscyhkl4rbtOqR7rqVDEC33RdxbJ1U4vHpe4tvSnd\n66Iak5GYyXDZExvVvblX06ccmDKRh1+65DFMIFxo0JhLsJ0uMR3fMiaZXEnSvnhcXeu2adH88Vn3\n7Q0Kl6/akjIroiR96OTDsx5PuQLnQsb0lDPJqeexSOWYfr/YyU+9JswAgNyUM8EK+zjahjzXG6Gr\nqyvfVSvWk3bXiITnmCktWnT8gXpx7fOSnAe9trWOSqkCeTWPaVB7445QXbk++/4DteQpac3m1H1u\n2rQ5cP2B3cNu976R+063jp+//W2to0a097B26bD2UZL6ksedC/953N47qF/94XGdYEYmLoe0OP9/\ncW1uXd9y2UfCttd3pSSmQWPAsp1H/zW4ddkaHT9j5D63vfaqurr6Qh1Lruegq6tLA7uH9fxG5/iP\nm9ai1rHhn1W+adOugNfCfX4ynfdC2hRGIe3OVzGOqRp+dwZ9zj9/1jvUOja6Rznm8x0ut2q4dkiP\n61fduH71q5wJ1iuSpnh+niKnQpVpmU73tbzMmTMn31Ur1tbBHqkrtXvgye+brpNPSr1zPHNmTI88\nu0W9bw9pyYoN6ndnwBvfMkbXXr5Ah3SEDxDe+97Uu7gdE1rSPidnyYqe5Ngpr0zrBHtaO/dNlJR7\n174wgs7ju941RXPmRHcHPp99bNj5kqTUdca1jFG/Z9p273kMOhf+a9A3MKxDD52sjpdjI65hPK6c\nz2W289/V1aUZRx2X8pl5ev3unO78zzgqpqfXh/vM+aU77zOO6iyoTcVudz78FZYojqmrq6sqfncG\nfc537puok8v8HS6narl2CMb1q25cv+oVRWJczgTrGUkz3HFUr0q6QNInfMvcLelSSbcZY+ZK6rXW\nvl7SVla4sIPJvc/KSiRX4/JIrqTCu4nNe88h+sLHZua0TuvYxsBAKaouO6UYlJ/rPvr6Y7rn0Z6U\n1ya2N+s7l8xT1zrnAcfec5/uXARpHjt6xDWMx5XzuQx7/gvtKlfIZy7deX/k2eJ33yt1l8p67pJY\nCkzeAQAIo2wJlrV2rzHmUknL5EzT/gtr7VpjzEXu+zdZa+81xpxtjOmW1C/pM4n1jTG3SjpF0kRj\nzGZJX7fW/lfpj6S8cgnggqb+DjN+J0jY8RVBAUmuyVUmUQWUpQiEc91H0BT0i+YfpkM6xgdes3Tn\nIl1Q6L+GQbNEZjuXQftc9sTLOv/0GWnXyVe+Y3rKPeFCOcYi1aNSJD/l/iwBAKpDWZ+DZa29T9J9\nvtdu8v18aZp1/dWuuuUN4PwPEk501+rrj+mF9dtDbzOqweLVFJCUIhAudB9BDzzOptTX4I4HXxox\n0Ui57/wHnfdyt6kYavGYwirV55yEGQCQTVkTLEQrXXctf9evhHTBV19/TF/83kPJ6sntf3lJ13/l\ntLyDlWIGJLUcUOZ6bJmWD3MN8jmXQQ9g7h/ck/Xhw1FPa5+Pakr+w6rFY8oFyQ8AoBKQYNWQdF3E\nEv/2yjQO6oEnNqZ0TXuzb0jLntio808/suKeAVNpAWWU5yfXYyv0XOSzfrYHMHvlGvyWYkrsWgzI\na/GYAACoJiRYderYIzrSBqprN7458rUNb1bsM2DCdJHMVy4JUzHOT67BcqblwxxLPsG5/wHMUVUR\nA8d3Pb5RzWOdX1uVkOAjWpV2AwcAgHyQYNUQfxev8S1jNBTbqxOPm6yOCS3hA+AG/6PHnNcqfYay\nqBMc//Z+ff86XXv5Ak1OM+tiJZ0ff6AqpXYTvePBl7Ro/mFqbhodaaVtaPdeqaEhOblG1AFy4qHL\niX9XQoKPaFTqDRwAAHJFglVD2sY16erPn6Rf3PNXPffiNu0a3KObl67V0pUb9e2LTwqc2jvI0dMO\n0lN/fW3Ea5XIm0gM7d4baYITNOviFYuX66df+0BFB31Bgeo586alHMuOnUPJbn1RVdoSjwEIM018\nGP4bBuNaxqSM9aq0BL8caqniU0k3KAAAKAQJVg3p64/pqhsfGzHeanvvoDsde7hA5YwTpmrJih7t\n2OmMw5rY3qyFc6cqHlfRJpTIJ1D0JxJNYxqLvs9dARM4JOQzSUTYNuTS1qBAtXtzb9rlowpk0wXI\nh7Tktz3/mLCh2LBuXrom1Lq1lHikQ8UHAIDKRIJVQ/wBbr7axjXpR1eeFjjZQbpJEAoJaPMNFP3H\nG9uzTw0NUjzu/JwpwQmzzwWzOvXr+9ep31M1ySTXSSLCHncUgfT0KQfKbuqN5PNRSv7xdUtXbsia\nwNZL4lFrFZ9anhEUAFBfSLDqQC6BSrZEKWgShBFjle5bq3cfPlFHTztIZ8ydljXZijJQjMedGRKP\nPaIjp4cuB+2zbVyTrr18ga5YvDzZNS3bucxlkoiwx53r+QkKVBfOnaqFc6c646Riw7rn0Z7kTJFR\nBbLpAuQX175V8Lal8AlsJSce9VBZy1elzQgKAEC+SLBqSNAkF+edPl0L507LWklZvsqZoGDJyg3J\nroGZ7vynjH2KDaeOVRraq6fWvK6n1ryuPy7v0U/+5fTIA6W+/piGdu9V05hGxfbsS3nv2CM6Cg6m\nvcf3/csW6Fkbbvyaf91yBdHnzJum7s29mj7lwJSH/ibOSyLZkqILZEsRIFfzFORRV9ZqseKTuL59\n/bHk54hEFABQbUiwakg+Aa4/6PNKd+ffv864ljFpt9+7a3fyGVrp5Boo+vefqVtgumQn0z792++Y\n0BI6EM4liA573LmcH//+7aZeLZw7dcRyxUpU0m23lElnpSYeUVfWarXiUy9dPAEAtYsEq8bkGjjn\nM24raHa98b4Z3rwyTbAg5R4o+vefrltgpkAt0z4LCYRzWTfscfuXm20mpb27X4nd4wZ2D5c0YK7V\nxCNINVf00uH5ZwCAakeChbQOamtOqep4p0P3O+/06ZIa9Ntl67Rnb2qXvT3DcS1Z0ZMMjIKqGYUG\nikHdAgMDtSdeVnPTqOS+owhO/d0lcxH2uL1dp6rt7v7zGwdLnvRVYuJRqZW1asDzzwAA1YQEq874\nkxt/0NfYIO1zu9slnjfsD+ontjfroLbmlEkSEuO8TnrPIfqnHzyi/qG9ye099dfX9NRfX9OdD3Xr\n6s+flDKVfD7B0iwzSY0NDdrn9gtsbGjQnKMmhVr3jgdfSs4KmG7fhXTJO6itWRPbm5Pj2BIPe+7r\nj0Vy1z1bharYQXwljC+rVvVUWSsEzz8DAFQ7Eqw6kq76kQj6Xli/XStXb00uv2PnUDIY9D+k9lPn\nHJOsBHkDxckd4/Wzqz4YuL3tvYO65d41BVczVtltyeRKkvbF4+5zvsanLBc06UeYQC2XQNif8LzZ\nN6RPnXO0pAbd8eBLKQ97TiRzxUxSihnE51s9O25ai55evzt0wlrLCVwlVtYqTSHPPwMAoBKQYNWR\nTNWPRNDnTYgyaW4alTZQ9AaR/u1t3d4fur3eYLu9Mbeud1JQoLZXNy9dG2rdTIFwtu6SzU3O16o/\nIJlbMKuzoC5+YSpUxQri031+FszqzJgUtY4dFSrpq8bujyiOfJ5/BgBApSDBQlK64D0eV8agPuxM\nfY0NDep5tS9ln2EfFntAS6NeH3pRzU2jNctMUseEllAB18hAbWNBgVpQd8kJB4xV79u7Je0ft5ZI\nJvwKnYSi0rqZDe3eGyopCpP0VeIEHSi/SvvMAwCQDQlWHclW/cgUyKR7PexMff7ugpIz898XPjYz\n1MNi3x7cl6w+dUxo0bcvPkld68I/myrb8YXlb9eOnUNqbd7/NUqMW0t3rtMlXrkoVzezoGNSQ0Ne\nSVGtdwWsJQO7h7VkRY+k1GtVymtI10oAQDUhwaojYRKMdIFMutezVR08Q6VGOPaIjrzuRG/vHXTH\nXOUexGcL1PIJGgeG9ncTTIxbWzT/8MBzXWkzyeVyvEGfn3wSxnRJeaWdGzjX6sb7tqlvwLk5krhW\n8bjozgkAQBokWHUmijvB2cYgeZfzBmHemf+yBc8LZnXq9r+8lJypMJ825hoA+tf59f3rdO3lCzS5\nY//kGdkmzvAKOteV1N0pn3PkP6Z8kqJ00+eff/qMijk3pVLplbzlq7aob2D/+MfEDZTEv/2vU2UC\nAIAECzkKM2V7IsD2B9L74vHABwIHaRvXpA+dfHjg7GH5BvHZAsCgByhfsXi5fvq1DyTbGvTQX++0\n82Hali7JLXWwHcWYp6gSxjsefEkL506tq65gTOoBAEBtIsFCToLGIKWbsv3/b+/+o6Qq7zyPf6Cl\nm26gaZUN/mgiGvGJJiS0vRFjsDVGoyasyomJy+zJyY89M5iJc/SMyR5n3D07e2YmG3c9xDHGxIlz\nZjnzQ111MQohyBi1hYmulhiZBR6FtkdaDQS1LammKWh7/6gfqa6+VXVv1b11f9T79Q9dVfdW3aqn\nbvF87vPc73XidEHgSgrPWaraeVtBOHT46LTQUR4C/AgYce5sew1FA329+odf7J4y8pdx+JyTLJ3J\n6u6HXor8KNBAX6/u27yzOIrltvBNXER9BBEAEE8ELHgynnUul+7UKWz0nBqn9d2GKzev7XTR5b//\nxe4p5dXd8GPUJYwKes045ymdyeo5e0hvHR4qdmC757TrS5ec6bpkftKUh+ko657TruuvXKj3PjhR\nkrvCN3ER54MaAIBoI2DBG8eqFc6VLBqdPla6/uuv79NXr/m06/VrvXY6k9Uf3f5kcWrjg0+8qru+\n+1mtvWlAN98xWBxd8St0RPFIedDng03pwKZGp3RgP798ccMl8+OqPEwXRPUz6OqYqQv73Re+iQsu\nCwAAjYli3yYqCFjwZHbH9K9M4cK6ThrthBXWT6Xe9dz5r/bajz87PKWAxjvpcW1+dljXXnKW/vpP\nL/U1dFQ6Uj45qeIPk5dre9V6LS8/dkF2kp06sD968CX94bXLIlXsIwqaPfUVAIBGMAugOgIWPElK\nKe09I6PT79uXu8/v0FGpat7Gba9N+RzrubZXqTj82G17+S3Z10eL29WKowWNTH1FdV4OMCTltwwA\nwsAsgOoIWPAkKSMPZy46ftqFj89cdPyU20EOfe/Z9+60HyY31/aqJmo/duUd2KhsV9iSsg9FjdcD\nDLQDACAoBCxUVc/FeuPg88tP04atQ3r7vdw0wRPnz9bl559WfNyps/aX37pAL+ZHmLwELqcj5Wcu\n6pkW8IIwfuSYNmwdKm5HM+dHFzqwf/HXT2nnvugXdGimevYh5rpXV88BhiT8lgFAGJgFUB0BCxVF\nacrZ2JEJX4NC95x2/fA7n6149Nqps1Za/MLLZ+F0pHxyUjWLPHjtUJf/2J3QPVsbtr1WDJFhtN+8\nrnatPK9HB94XP8INiNK+CAAAswCqI2ChoqhMOUtnsvrJpgNKj+VGfMo7l/Ue2fd69Lr0uk1ePwun\n16r0w5TOZPXo4B6tf3qvskc/kOSuQ13+YzeenZhyoebSbW7maEhXRxs/wg2Kyr4YZc08mspoIgAw\nC6AaAhZ84bbDUU/HZHD7SPFCp9L0oBDEkf3yztqczlmer49Vi9MPU3n5+ILyCnxunrMw4lcujNEQ\nfoQRtGYdTWU0EQBQy8ywNwDRNdDXqwU9ncXblY4IFzoc96zfoXvW79CNa5/S+2PZupfzotKR/UYV\nOmtrVi3VmlVLtfamAVefRaMGt49MC1cF215+y9NnVqn9gvrMEBy3+2KrKwT5lSvOCCzwsP8AAGph\nBAsVuT0i/Pizw66mL9U7zWmgr1f3bd5ZHMVqVueyfNQlCtPcvEwNC2t+dPkoJRrHXHe0EqZgAog7\nAhaqqjW1K53J6uEn9wS6Dd1z2nX9lQv13gcnSprauWzmeRfNmOY20NerB594teIolldO2xzkZ+Y0\nfeqbnzu+xlpwIwnTLJPQcaZyVrCYggkgCQhYaMjg9pEpxR8kqWv2cRrP5qr+lXaiGumYdHXM1IX9\n0zuXSTuy3z2nXXd997Pa/Oyw9uwb1aKF8/T4c68XA5cfnbkgPzOnUcodwx268AJfnh4xlpSOc9J+\nc6KGgi4AkoCABd/NkIrV60o7UUF1TBo9sh+1o+rzutp17SVnFW9fNfCRyH1mgFdJ6jiz/wAAqiFg\noSG1qu2Vd6Ki1jGJw1H1qH1m1TiNUi5d3OW4bNSCLVDAdzM8TMEEkAQELDSk1rWXglLoAI1nJ6TJ\nSc3uOK6ujlCSjqpHgdMo5Su7dkxbLg7BFv6KS8eZ72a4mIIJIAkIWGhY6QhLOpPVxm2vBdqJKu8A\nFYTdEeKod868rnYN9OXKwT/94ojmz5yYtgzBtvXEpePMdzN8cRq1BwAnBCz4qt5OlJdwUt4BKqin\nI1R+VP3E+bM1nj02rUCHm+0vDX3/8Ivd+tIlZ+rzyxf7etHlOCj/LLq72rRsWTaSnekwJbX9q6Hj\nDABoBQQs+M5rJ8rPKTnj2WOeli8NhOPZCT32zJDWbdzleTvKQ9+hw0e1buMubdw27PgccZyG5DYQ\nlH8W6bGJacE3LtPFghLH9m8Vrf7dBAA0joCFUKUzWd390EuepuSUd4CmmuF5GwqBcMPWoSnXn/Jj\napDfF10Oi9+BIC7TxYISt/avJUmjca3+3QQANC7UgGWMuULSHZLaJN1rrb3NYZk7JV0paUzS1621\n292ui2irdC5VLYUO0I8efEnbXn5rymOz29tqvmYQHcHqoS/+vASC8s+iu6vNcQSA6WLJkMTROL6b\nAIBGzAzrhY0xbZLuknSFpHMkrTbGnF22zBcknWmtXSLpDyT92O26iL5K51K5mZIzr6tdf3jtMi3o\n6XS9XqEjeM/6Hbpn/Q7duPYpvT+WLT4+0Nfr6flKn3dw+4i++JnTdd1lZ2lO56yaz1Hva8VBIQCv\nWbVUa1Yt1fVXLnTd2U5nstqwdUgbtg4pncnWXiGmktT+lcI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961 "text/plain": [
962 "<matplotlib.figure.Figure at 0x7fa6383f1310>"
963 ]
964 },
965 "metadata": {},
966 "output_type": "display_data"
967 }
968 ],
969 "source": [
970 "plt.plot(stds, means, 'o', markersize=5)\n",
971 "plt.xlabel('std')\n",
972 "plt.ylabel('mean')\n",
973 "plt.title('Mean and standard deviation of returns of randomly generated portfolios')"
974 ]
975 },
976 {
977 "cell_type": "markdown",
978 "metadata": {},
979 "source": [
980 "## Markowitz optimization and the Efficient Frontier\n",
981 "\n",
982 "Once we have a good representation of our portfolios as the blue dots show we can calculate the efficient frontier Markowitz-style. This is done by minimising\n",
983 "\n",
984 "$$ w^T C w$$\n",
985 "\n",
986 "for $w$ on the expected portfolio return $R^T w$ whilst keeping the sum of all the\n",
987 "weights equal to 1:\n",
988 "\n",
989 "$$ \\sum_{i}{w_i} = 1 $$\n",
990 "Here we parametrically run through $R^T w = \\mu$ and find the minimum variance\n",
991 "for different $\\mu$‘s. This can be done with `scipy.optimise.minimize` but we have\n",
992 "to define quite a complex problem with bounds, constraints and a Lagrange multiplier. Conveniently, the `cvxopt` package, a convex solver, does all of that for us. We used one of their [examples]() with some modifications as shown below. You will notice that there are some conditioning expressions in the code. They are simply needed to set up the problem. For more information please have a look at the `cvxopt` example.\n",
993 "\n",
994 "The `mus` vector produces a series of expected return values $\\mu$ in a non-linear and more appropriate way. We will see later that we don‘t need to calculate a lot of these as they perfectly fit a parabola, which can safely be extrapolated for higher values."
995 ]
996 },
997 {
998 "cell_type": "code",
999 "execution_count": 30,
1000 "metadata": {
1001 "collapsed": false
1002 },
1003 "outputs": [
1004 {
1005 "data": {
1006 "text/plain": [
1007 "[<matplotlib.lines.Line2D at 0x7fa638a42450>]"
1008 ]
1009 },
1010 "execution_count": 30,
1011 "metadata": {},
1012 "output_type": "execute_result"
1013 },
1014 {
1015 "data": {
1016 "image/png": 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ApqaLsXz5MwAAr/cEBga2oL//MQwN7YSi+AAAtbVL0Nr6RbS2Xo26uo7o3lQ2\nm8eS8WeSCdHLfB08Mpx22ZpZWTQ2fohnVRap3DKJRESUOQZYRJQgFFztjN4eGtqJF19sQnX1YoyP\nvw4gAACorz8Lra1XY9asq1FXd2bOxpPPIENrDVCmZWt664nSeT/l0vjBSOBUKuvRWGpIRFTaGGAR\nUYJI5iqW3z+M8fE9cLm60Np6NVpbr0ZNzel5GU8+gwwz1wDpvZbe+9GbeJd64wejgVO6WSQzAxmz\ngvxSCRKJiEgf12ARUZTfP4Zjxx4EoGg+7nTORWfnKzj11L/LW3AVkcmaqkKmfj/J1vhEAjUja7+K\nUS7WpJm9ZuqOG7rR4j65P5vRtXhqXH9HRFT6LM1gCSEuBXA3AAeAn0opv69xzI8AXAZgEsB1Uso3\nhBDVAHYBqALgBLBFSvm/8zdyotIRDHoxOLgDx48/jIGBrQgGpzSPczrno6Nja55Hd1KmmaVCLcdS\nvx+u8UktnSxSLj7PUs8kEhGROSzLYAkhHAB+DOBSAEsArBVCfFx1zOUA2qWUiwF8A8C9ACClnAZw\noZRyBYBlAC4UQnwqn+MnKmaKEsTw8At4992/Qk/PPLz11hr09/8CVVULsHDhRqxadQBO5/zo8U7n\nfHR3H4HLtdLCUaev3Dq/bdjUgzW3bMGaW7Zgw6Yeq4djWLKOi7HMyiJlyoxMotH3SkRExcvKEsFV\nAA5KKd+XUvoAPArgc6pj1gDYDABSyt0AGoUQc8K3J8PHOBHKgA3mZdRERWx8/C0cOvS/8corp2Pv\n3s/ggw82wW53oq3tJqxcuQerVr2DhQtvRW1tOzo6tsLpnJ925irVJD+fQUAxlWNlO/Eu5mAyncDJ\naKlooQYyVgeJRESUe1aWCM4HcDjm9hEA6v/zaR3TBuB4OAPmAbAIwL1Syr4cjpWoaE1PH8ZHHz2C\n48cfxsTEmwAAh8OFOXOuxZw5X0FT00Ww2RwJz3O5VqK7+0jS11aX3wFIWMD/3hEHbp8TWkfEBf76\nsm3kUewlhkbL74yWihZy90WWGhIRlTabomgvZs81IcTVAC6VUn49fPvPAXRJKb8Zc8wTAP5FSvlS\n+PZOAN+RUr4ec4wbwA4Afy+lfF7vfB6Px5o3SmQBRRmFz/cs/P7tCATeQKhpRQUqKs5DRcWlqKj4\nNGy26lQvk9SDz/Xj0LEZQ8e6ahy4+QvzcNvPtQO2yONm0xqjq8aBtee34JRmp86zrPPBoBeP7BoA\ngLTHmO/4HmFbAAAgAElEQVTPthhk83kSEVH56uzstGXzfCszWEcBLIi5vQChDFWyY9rC90VJKUeE\nEE8C+CSA55OdsLOzM9OxksU8Hg+vXwqBwBQGBrbh+PGHMTj4VHQDYLf7M5gz5ytobf0iKiubTTvf\nxke2GD7W6azE43v0gzGnszIn17ezEwWTxTDSbKMTwFWrM3v9FXtmdBtAZJMdLOZ/e9l8nqWgmK8d\n8foVO16/4uXxeLJ+DSsDrNcALBZCLATwAYAvA1irOmYrgBsBPCqEOAfAsJTyuBBiFgC/lHJYCFED\nYDWAjfkbOlFhUJQAhoZ+i48+ehj9/b9GIDAKAKir68CcOV/B7NlrUV19qqVjdNU4sH5dF7599y7N\nx+02oKWhGlfdfDJgW7HYvG5/hVCOlY/SyEIuiSMiIionlgVYUkq/EOJGhMr7HADul1K+LYS4Pvz4\nfVLKp4QQlwshDgKYAPCX4afPA7BZCGFHqFHH/5NSJu6MSlQCentXRzf+bWq6GMuW/Qbj46/j+PGH\n8dFHj8Lr/RAAUFW1AKec8leYM+crqK/vyPm49Fpm+wNBjIx7o7e/ecWspEGEw2HHu4fjGzHsPdCP\nP//edtz29XOzDkDM3Dg4U/laH1UIwSQREVG5s3QfLCnldgDbVffdp7p9o8bz9gEorn7RRBkIBVc7\no7eHhnZi1y4nAD8AoKKiCfPmXY85c74Ct/s82Gz5awyqzpgAwILZLlx75ZK4Sf7I8fcAaAdk7npn\nNBhTGxn3Fk2DhkJRCMEkERFRubOyTTsRpRDJXMXzw26vwSc+sQXd3ccgxCY0Nn46r8FVRGy7aSCU\nebrzgd1Yv64rofW0VnvqhzZeBltWy0iLQ6G2DCciIiLzMcAiKjCKomBk5BW8887XEOr+l6iiohmz\nZq2B3Z67rmhG9qs6cDhxj6Vk+0xp7WGkFXwAoeyWVgBSjJvpcu8jIiKi8mFpiSARneT1nsDx4w/h\nww9/isnJ/QAAm60aijIdd1y6G/9mIllThs3b+qJritLd5UGrhE2r1FCvQUMx76PF9VHly0gHSSIi\nKh0MsIgspChBDA3txIcf3o8TJx6Honhhs1WitfVPMG/eV9HUdDFefvlj8HpDuxM4nfNTbv5rBr2m\nDN+55wX4/MGkz82k9G39ui7c9h8vY2zCC1edduYq2bjMXKuVq8kw10eVp2L+pQAREWWGARaRBaan\nD+PYsf/Ehx8+gJmZ3wMAamuXYN68r2HOnL+A0zkremxHx1bs27cm+ncrGQmuMgki2tsa8dDGyzId\nlmk4GSYzqb9PEbnoIElERIWDARZRngSDXpw4sRXHjt2PwcEdABTY7XWYO/ermDfva2ho6IJNo+OD\ny7UyL1mrWHot2AdHpjVXhdltQFND7ps26I3LrPPmq506lT694IqIiEofm1wQ5djExNs4ePAWvPxy\nG/r6voTBwafR0NAFIX6K7u4PceaZP4XbfY5mcGUVvaYMyxdrd8P74U3n56VpA5tFULHQCtZjDYxM\nF02TFiIiSg8zWERZUm8EvHz5M/D7x9Hf/0t8+OFPMToamkRVVLSgre1bmDfvq6irW2rlkA3Rasqg\nbkiRTkmgWWubctkswowMGRsakFEsQSUiKk02Jd02YEXK4/EonZ2dVg+DMuTxeFCI10+9ETAA2O11\nAIIIBqcA2NDUtBrz5n0t3Fa9ypJxmungkeG4ACfVxNDj8eDxPTO6gUuhTSwzDSAB7bIwvfdZLIFY\nof7bK3TplAhmunYxFV674sbrV9x4/YpX+NplVVbEEkGiLGhtBBwMTiAY9OJjH/sezjnnd1i+fAdm\nz/5SSQRXwMlueOmU5iVb21RotPbqMsro+4xMvhUl1Oo+ksk4eCRxX7FcKsY9xYqFVjlrAVUBExFR\nDjHAIsrQxMTb0NsI2Omci9NOuw3V1R/Ly1g4UTZPJgFkugoh4CyUIK+UqYN1rU21zWzSQkREhYEB\nFlEaFCWAEyeewGNPrsKePUs0j9HaCDiXAVAxTJTLZWJZTO+zEIK8UqcO1tmkhYioPDDAIjLA5xvG\n4cN3YffuM/DWW2vQUrcHh08sxZY938XYVHP0uMhGwC7Xyuh9uQ6AimGiXC4TS6Pvs5gCMTJXNiWo\nRERUHNhFkCiJiYm3cfToPTh27EEEgxOw26ux7w+fxRu/uwL9o6cBAEanZuPzZ/8z7HYbOjsTNwLO\n1d5KkSYJ6fSp0WuskI+GC7ns/ldIjLzPbLoxmiXXe4qRtkhWi4iIShcDLCIVRQlgYOApHD16D4aG\nngEAVFUtwPz5GzBv3tfwr1tfjAtqPhpZhJ/svB8t7mpccclKnVc1V6oOZZUV9oSJsvo5kUxaS0M1\n3j08nHC/2R3+ymViafR9Wh1wFkKQR0REVIpYIkgUpi4DHBp6Bm73+Vi69DF0dR3Cqad+F5WVLWmX\nd+WiHCzVJqY+fxB3PrA7rgxRL5MWG1zF3l9IJYalKB/NNFJhuRoREZH5mMGisqPeGLi9/UdxZYCB\noBN9R0JlgPPnrMIdZ8WXy6X7m3+jx5tdpjcwMo3b/uNlPLTxsqxeh0pXuWQViYiI8okZLCorJzcG\nVgAoGBraiT17luCDD+5FZWUzDn70V9j0m5/iN703on/0NN2GFOn+5j/V8ek2wtDKimkZm/BG/15X\nXZnwuN0GnDqnPuF+ZjSIiIiIMsMMFpUVrY2BAaCiohldXYfwz796MuGxgZFpfOuuXbDZTmaW0v3N\n/+ZtfRgcnY7+XZ2dSrcRhjorpsdV54z+fWLal/B4UAEmpv1ocVebvhYntgnHij0zOWmcoT4XkLsm\nHURERERGMINFZcHvH8fhwz+E3sbAdnsNvveTV5O+RqYt1nPVpj02K3bGgsQ1PC3uatz29XNTvs7A\nyHT0ddLNXOnt7xX7noHc7s1VDPuAUenjZt9ERBTBAItKms83gN/97nt45ZVT8d57t0DrKx/ZGDhV\n44iIdBtAGNmnKpNGGLFNEn540/lw15/MVrnrnQnNE5KVFb77h1Awkk7nwGSBTT735iqGfcCotDHI\nJyKiWAywqCTNzBzFwYPfxssvfwy///3tAGxYuHAjzjuvH07n/OhxWhsD58vAyHT0N91mbMR729fP\njWahtDJX6nNojcfswJGoHPDfAhERxWKARSVlcvIA3nnna3jlldNw5MhdGJmoxvP712Hn/l9g4cJb\nUVnZjI6OrXA658PpnI8X5R3Rsh6tJhBa3PVOtLirDZcDJcscxf6mO9uW2UbafkfOkWu5aE1fCOci\nIiIiSoUBFhWd3t7VeP55O55/3o7e3tUAgLGxvdi//8t49dUzcezY/ZiYmYsde/8G9z+3CZ5Da+B5\ndyIayLhcK9HdfQTb3/wvvPBWc7SsZ3zKB7st9fknp/149w/DhsuBjGaO8rEvUuQcKxYnD0qMrCdJ\nFtiYkZEzKp/nItLCIJ+IiGIxwKKiotVmfdeuang8Z6G//79QX78cS5b8F+77zd146/BqBIIns1Lq\nkh2tsp6gEmpdniwg8vmDCfelKgfKV+bIqGRBidH1JKkCm8h7dtU4cj7RNJr9K/dGBOX+/nOFQT4R\nEcVigEVFRavNuqLMwGZzYtmyp9HZ6cHs2V+CAkfG52hqqE6a5TGQ5EpgNHME5G8SrA5KIufde8D4\nepJkgU3kPd/8hXlpTzTT/QyMZP/KvRFBub//XMu2xJeIiEoHAywqCZWVrWhuvgQ2Wyj8MVKyk+oY\nvd9KLzcQJOlJ9ZvufE6CY4OSzdv64tqqaxmN2bRY6zXM+m19rj4DI40ISjnDw0YMuZWPEl8iIioO\nDLCoKAQC7+DNNy+H1j5WkTbrsYyU7Ogds3lbX3SSrbU/VDblQBs29WAwvKFvZYU9ISizahJspEW9\nzx/MS8bDqs+AGR4iIiIyAwMsKmgTE+9g//4/weTkn2NwcDsaGy9EZeXJDFKyNutGSnbUx6xd/1Tc\nJFtvf6hMyoGiE/jwbZ8/iDsf2F1UE/hiznikyliWeoaHjRiIiIjygwEWFaTp6d/jnXe+ij17lqK/\n/5ew25dg2bJnsHz5s1i27GlM+1oxNtWCB3Z+W7eUy0jJjrpMbnzKl3CM1iQ7k3KgXG04bESq0rdk\nreTzLVefQbk3Iij3909ERJQvDLDIUuqW617vcRw48LfYvfsMHDv2AGprz8TSpf+N2trNaG7+LGw2\nG37w8DT+/en/wE923o/jI4tyukYnHWas38nFJNhI6ZvWeY005MiFXAYCyTKP5ZDhYSMGIiKi3GOA\nRZbRarne0zMPR4/+CFVV83HmmQ/i7LPfRGvr56PNK4D8l3LZbUg5GTUSxBidwJs9CTb6eanPa2XG\nI1eBQLLMYzlkeNiIgYiIKPcqrB4AlS+tluuAgoqKRqxa9Q7sdmdex7O8vTWhRbndBvzwpvNTTkaT\nBTE/u/USAKEJ/HW378BAuMlFZAKvFpkE55vWedev64oGYvnMeFj1GVj1fomIiKh0MMCigmO31yUN\nrrQCIbPW6MQGQEaDq3RYMYHP5vPKR6CzYVNPNEBd3t6KO27ozun5krEqsCMiIqLSwRJByrvJyQN4\n880rYbTlulq+1uikE1wZLf+zokRL6/NaMNuFb9+9y/L9nrRKK//4u08UVWdFIiIiolgMsChv/P5R\nvPfed7Bnz1IMDj4Zbrk+O/p4spbrapm2SU/VhGLztj4Mjk5jcHQam7f1GXtjKPz1O7GfV0tDdcHs\n96RVWunzB3Hz3bsyGk+hbBRcKOMgIiKi/LMpSmIWoRR5PB6ls7PT6mGUjVADi9Aaq8bGi9DzdhdO\nbboX9dVDmPLNxSdX/BizZv0xxsffwL59azA64cWvXv57fDS6SLNMzOPxINPrF8mSqEWCs0gQtHb9\nUwlt2tXHJHPwyHBc+V+hBFdqa27ZAq1/9nprwrLl8Xjw+J4ZzTJAvbFkMh6t65zO9TNLoYzDLNn8\n2yNr8doVN16/4sbrV7zC186W+kh9zGCR6dTdAYeHn8WSef+MqsoxvPTOWvzkN/+Gv7u3Hu8dHYHL\ntRLb3/wv/PvT/4HjI4tMz6joBVdAfCe9DZt6DO+BpafQO7RFsirp/E7FjEzMg8/162bMzNx/q1A2\nCi6UcRAREZE1GGCR6bS7AwIzvnq8cuDL8Aer4iacuZyQGt3bKts9sApd7FonLVqllkZazxtx6NhM\nwn2R63vHDd2orEj8McR9moiIiKhYsYsgmSpZyamiONJ6rdEJL9bcsgUAcNqcKpidaTeyv5WRY4pB\nsgBSrxTPSOt5M/zgm5/GzXfvQlBJPp5UtLolAsDgyDQ2bOpJKDvV6l5oRkfDXHW5JCIiouLADBaZ\nZmbmQ+zffzW0ugOOTbXg8T3/EL0dO+HUKhOrrLDD5w9GsyeHjs1klD1JVoLW1FAdLeXTOi4XbdoL\nTT4CyNPnViXcF3v929sa8cObzs96Y2G9bJiCxOybXvdCMzJ2hd7whIiIiHLL0gBLCHGpEOIdIcQB\nIcR3dY75UfjxXiHEWeH7FgghfiuE2C+EeEsI8b/yO3Lq7V2N55+34/nn7di7dzU+/PABvPrqx3Hi\nxH/D7f4MKivnRI91OufjsT0P46ORRQASJ5xaE1J/IJhwzkzKBvUm3e56Z9xEXj2GUguu9NrIJ3uP\nRlvPp3LNRa1xny0ALJjtijuvWevX/P7E701EqrJUn8ZzMy1VzaTLJREREZUGywIsIYQDwI8BXApg\nCYC1QoiPq465HEC7lHIxgG8AuDf8kA/At6SUSwGcA+Bv1M+l3ElsYrETUn4ViuLD4sX34te7/wn/\n+ex3MDbVgmlfKzo6tmL9uq5ooDM4Mo2165+Ka56QywnpD775adhjesG0uKvx0MbLEibysUFA+4LG\ngg2uzGg8YSSrYmYmpqUhPsDKtpGJ7meQVc8f8xR6wxMiIiLKHSvXYK0CcFBK+T4ACCEeBfA5AG/H\nHLMGwGYAkFLuFkI0CiHmSCmPATgWvn9cCPE2gFNUz6Uc0WtiUVHRgE1PLAuvP1mEn+y8HwDw6Mv9\naGkYi2YIFCCuY9/eA/04/MDuuDbWma5j0VpDEylBi22hrvW8d/9wcrL/7h+Gcd3tO3LWWjvdtT6R\n49VL3CKBSrJxanVS9AeCOHhkOOV7W7+uK+nnZtQBjUAq0/Vc6vcT+xnorcMCEstS1cdFylL1nkNE\nRERkhJUlgvMBHI65fSR8X6pj2mIPEEIsBHAWAPZAtpxDtzHCu4eTZyrUpVjq7ImrxpEyG5Cs612q\njILRToZmZI/S7c6XqgNgqjI2rfc2Mu41VPpWiJmYZNdK/b2JMFKW+uvvX1Uya6e40TEREZF1rMxg\nGd2NR130E32eEKIewK8A/K2UcjzVC3k8HuOjI01+/wsAHAD8cffbbLNRUfH9tPZYUvN6fXHX6Opz\nG/DIrlCmq6HWjqtuDnUUPH1uFa65KHF9kFbmYmBkGrduehE3f2Fe0nPrjTt2TA8+1x/XcnzvgX78\n2fptWHt+C05pdiZ/c1mMUy8jozdONSPvLddOm1OV0K7dVePA1ec2pD2GVO8n8r0JBBXYANjtNs3z\nxH6/Io9r3QfEX3u971+2zDqHWd/TWPzZWbx47Yobr19x4/UrX1YGWEcBLIi5vQChDFWyY9rC90EI\nUQngMQAPSSkfN3JC7qidntBaq1A5YGPjhairW4qjR++BzVYFu70OgcAIgFATi+7u0KVb8br+xr7J\nREqxYrMFnQCuWp1YEnbo2AzuefJEwvG2R45oTr6dzsqU137FnhnNkrHbb/hU9BwbH9mS8LyxqQAe\ne3k0rTK3ZON8fM9MQumg3vERWp9dLK33luo5ZvJ4PPi3v7sU192+AwMj09HzZ9rqPdX7iXxvtKhL\nM39+55Vxj2s9d8OmnriARe/7lw0zz2HW9zQivKN92s8j6/HaFTdev+LG61e8zAiMrSwRfA3AYiHE\nQiGEE8CXAWxVHbMVwDUAIIQ4B8CwlPK4EMIG4H4AfVLKu/M56HKR2MjiORw9eg+qqxeis/NVrFjx\nHJzO+XA656Oj4+Rl0yvRUlM3nUhWimW0fC+brnda3QZ9/iDufGB3xo0Y9OiNs6WhWrN0cHGSCXa+\nm1Vkw6xGJpm+n0w3Ts7FRtjqEr5cbrZNRERE+WVZgCWl9AO4EcAOAH0AfiGlfFsIcb0Q4vrwMU8B\nOCSEOAjgPgB/HX76eQD+HMCFQog3wn8uzf+7KF16jSyCQS/q65fB5VqJ7u4j6O4+ApdrZdwxySbP\ndltoQnzT2pWmdg3UmqSmG0ikatNtVttyvQBBrxHEwOh03PHuemfan11scNPirja8PsfMtTxmrufK\nJFgrlCBGK9DLprRWzazvKREREWXGyhJBSCm3A9iuuu8+1e0bNZ73IrhJsulig5RvXQHYNFpeD4zM\nYM0tW5J2vmtva8SKxfpdADdv68Ndj7wOIDQZTDXZTtVRUKtLnt0GXHvFkqSvq2az6a/vAUKBkVaZ\nW7odAYH0u/Opj083QIkEN8k68KlfM51j8y3yfvIh046WerQCPS2ZnkPve0pERET5wSCFAACPPXk2\nLhKfwreu+AK+dM4/YsZXm3DM2FQLHt/zD4bKq/SyNJu39aVdpnXHDd1w1TgSXisyydeasAYVYPOT\nfYbfP2DsN//qzEmmZWda2Zxk5zcr+5NOFiefnRXzIdPMTr5KLNMpm02FGx0TERFZhwEWobd3NVrq\nXoPNpsBmU7Bg1n5UOyfgC5xMcI5NteAnO+/HRyOLovelKq/SmuRlWqa19vyWnE8YjUyk1YGOmWVn\nuZrIxwZAZpaiRV47kwDTCtl8vurnZUMv0DOzbLYQ2+sTERGVCwZYZW7Dph4MDmqvt/L66zAxMwtO\n53xs2fMPab+21iQv0wn+Kc1O3QmjmWtOjP7mPxK0mB2wmJ15UAdAWvTOZeRzLZR1TUZl8vnqbUKd\naRCpF+hd2LmAQREREVEJsHQNFlkrMvm+SOgdUQmx9ADa2xqx/c0eHB/Jbh2KXvmYu96ZMpjZe6Af\ntkeOaK5xMnPNyeZtfRgcnY7+HUDC+iqtNV+xsgmOzF5blGq9T7LPqhTX8mTy+SYLIjP9PNJdg0dE\nRETFgxmsMtXbuxoXiU/h21d+AYFgYpw9MTMLn+neEf1Nuhnla3qT/QqHXfd1YoOZZCVoZmR+tMrd\ntMrfUgVXxZKBqKywp/ysUn2u7FiXGZbwERERlS5msMpQZI+rSJfACocPinKya+DYVAs+3nEALlf8\nxC+fv3WPdObTKmvTyh6Ykfkx0t0tks3RYrdZm43Q6mao1QEvIrLPV7KugKk+11LMcqmZ3UWQiIiI\nSpuhAEsI8VkAi2KOV6SU/zdno6Kc0trjymYDgoodkzNNWLT4Mc0Jd7ZBjNGJaqoSPKtVVtgT9syK\n7fZnhWQt1Q8/sFs3MDRS6paqDX2pl7uVQxBJRERE5klZIiiE2AzgboQ29/1k+M/ZOR4XWWBiugn3\nPXM/fvDz6Zx0gTNaZmhk3ZBWUJZtq/C66sqUx7S4q/GDb346L22705FsnVCkzC8TRroElkO5G9ue\nExERkVFGMljnAlgqpfTlejCUO6GywFDmKqjYYbcF4h6P7HEFZL+AP5lssx1a2QMzNsTdsKkH41Px\nX3G7DXDVOTEy7k04d7FkbUYnvLqbDEcMjkxjw6YezQ2Sc9HgwSyZbPCcqXxubEzpy+d3gYiIKBUj\nTS4OA7ClPIoKVmTNFaAAUGC3BeLWNmntcTU64c3J5rFGsh1ajRNs0O82aEarcL3NigFoZi5i38fm\nbX2an1U+N+DV+syA0DqrSMZJnUGMUFDY+1dpKab9tyi3+F0gIqJCYyTAehfATiHEt4UQfxP+89e5\nHhiZJ9maq9jMVSyfP2jZhEWrlPB7f9aGhzZelvcStAqHPWlAqDe5u/nuXXmd9OkFT0B8sJmsXFAr\nKC3ULoHFtv8W5Q6/C0REVGiMlAjWADgEoCPHY6Ec6O1dDUVRoh0CY01MN+EnO+839DoDI9P4zj0v\nwB8INXfQKsNZu/6paJldfU0lHrnzcgCZle+oS/BGjr+ne2yy5hnqcwOJ+1qleo1k9CZ3Wk0lcl1a\nt35dF751166kx0Qyb0Y3SWaDByIiIqL0pAywpJTX5WEclAPqduyx9DJXycR2zlOvc4oNrgBgfMqH\nz92yBZUVDsz4ArrP06Ne8+I5rj8uvSBAa21WrNixlEIgEdkYWU0rUEwnoCzE9Wbl3jqda45OKvfv\nAhERFR5DGw2LkD8RQlwT+ZPrgVF2Tq67ShRU7AlrrjIRW4ajbhAROg/igiut55lFq8ub0X2t1OVz\n6XQp1CuhO2NBYvCYy0mfXgMLd71Ts7wxnY2jC7FLoFZJ5ODotG6QWUq45iieGZugExERmclIm/a/\nBfBrAPcB+AqATQDW5nhclIVkwRUATHldpp1rYGQaa27ZYtrrZcqMIEDvNZJNaPUmdz+86fy8TvqM\nBJNqsQFlS0N13hpymGX9ui5UVpz8EVYuwQbXHCViG30iIiokRjJY3wDQBeD3UspLAKwCMJ7TUVFW\ntJpaRIxNteA3b96BCod5jSGNrOWJZbflp9RMr7NerGzWWaXKfBXCpK/Cof9PPBJQLpjtwruHh4su\nI7J5W1/Chs8Ag41yVIhZViIiKl9GmlxMSynHhRB2IYRdSvmWEOKMnI+MMtLbuxqhxtuJgoodj+15\nOLq2KHbNUS6csaAR7x6On6TbbcAPbzo/q0mQ0cYVWuuqAERvV1bYMTg6jW/fvSurdSx6eyRlu3dS\nOutsslmHUsh7XenRK4ksB1xzREREVNiMZLAmhBBOAG8C+BchxP8y+DzKs1Trrl545xbdDIvWmiE1\nd70T7nonWtzVhjZGGxidjiuTMyu4UpfrJVuPos4iRW5XVtgNt6I32qrczH2v0l1nU8rrULQ+12Ql\nkaUebJTytSYiIioFRgKlvwHgBHAzgBYAnwHwF7kcFGVGf92VHRddGMD3/ur7cZOw2LIarTVD6tsP\nbbwMD228DD+79RIsX5y6/M4fCMYFONkGV0BiJ0AtsSVi6tKhyO1Iu3m958UyMqE1u/FAJutsMi1J\nLNS9rgD9z1WvLNVuQ1kEG4VQfkpERETajLRp3xf+6ziAr+Z2OJSpUGmgtsrKWbqPqUutKivsaKhz\nRidteu251eV3emLL5KxqLW3GeVO1KreizE7rfWVyrkJuUa/3uUYykLHsNuCmtSvzNTRLZVt+SkRE\nRLmTMsAKr7d6AECblHKhEGIlgDVSyttyPTgyLln2atmy7ZqPaK1j8fmD0eyO1iQudlK/OFxWqBdk\nxTZY0NqTysh+WJmI/a2+3nkXtyWuD0uWDch3oJhqnY3Zn2ch7nWVTEOdEwAKMigkyhT3NyMiKg1G\nSgTvBfBPACKz0V4Af5KzEVHaXnyxRfexaV8LXK7E3+onaxIwMu7VLEVTl2u9+4fQV+KMU1Pv+WRW\na+kVGqWJ9pgFYeryPb3zqteHGV3HoleytljjedmUb6UqSzS7VXehdmFLVr7IMjkqJdzfjIiodBgJ\nsNxSyu0It6aTUgYAeHM6KjKst3c1/P5BzceCig2/fPnvE/4nnWkHNr1JfSTQisjlovs7buiGu94Z\nve2ud0bXj6U70c5kgm52wGb2+PLBzGYeqSQLNI0EhfkcK1E2uL8ZmYE/84gKg5E27f5wF0EAgBBi\nPoBA7oZE6Ui2ofDEdDM+GlkEIH4tUKpNad31zown9HYbcO0VSxLuN7O19G1fPzeunC3ZepRk5zWy\njkWrJbwes8vsMn1fuZTPUs+ITD9XK8ZaSiLffUUBVuyZYblaAWAJISXDn3lEhcNoieCvAcwSQmwE\n8CKAH+Z0VGRIstLAoGLD43v+Ie3XjHQL3LytL+G3YEY27g0qwOYn+xLuN7O1dDrlbNmcV6tkR2vj\nXnXAlo8yO/X7AoDB0Wls3pb42ZvJit+yZ/q5MiOQudjvPsBytXxI1c2TJYSUCn/mERWOlAGWlHIz\ngG1BYasAACAASURBVO8DeARADYBrpJQ/z/XAKLlkpYGKAjz8wr+Gs1ehzoCxv/nXC5Tqayqwfl2X\n7v/Ir71yScKkPh1Wlbxlel6t/1n5/MGka77yaf26LlRWnPwnbMakK1V5iV57dCotnKjlX77XXRIR\nUe4YKRGElPIFAC/keCyUhmSlgVNedzS4AkJBwZ0P7I5mWbRarNtsQHtbE9rbGpP+jzy2XKvFXZ2w\n/kodzMVSl7ylU+7y4HP92PjIFkPHpjpvtlx1zmgmy8q1Ue1tjUn380r3PacqL9Gr58+mpDSXrCqj\nJMpUsXXzpMLCn3lEhcNIm/YzAfwjgPaY4xUp5apcDowyoyjAY7tvTbhfPelev64L37nnheheQrHZ\nDyTJUrS3NWLBbBd6D/ZrtmdXB3MRWmuZjNaKb9jUg0PHZgwda6ZU67eKmVZwm2ovL721exUOu6Wf\nh16gXsj7exU6TtSsUYjrLql48GceUeEwsgbrlwDeBLAewN/F/CGLJNtUWIEtLnulJ1n2o6JCf52R\nem2GFnXZilbJoVYXQ71yF6tKY8xcN5YrqdZtaNErAU0WWBeqVOtSCrETYzF0+SqG73654TUhIwrx\nZx5ROTISYPmllP+flPJZKeXz4T+7cj4y0pW8PLBB8/50ftg21DkT1lotmO3SLR9MJZPnFIpC/59V\nJpMuvYA1WWANZBbM5Vqq4LvQ9vcqpkYFke++q8ZRkN/9clToP4/IeoX2M4+oXBlZg/WMEOJyKeVT\nOR8NZUVRgF9rlAfqlQkkKzm597HeuBLAyETQaJMDfyCIg0eG0/4Br/U8K0tjslm/la+Wymat22io\nC+3GoFdekqvyk3JqPZ2qDLOQRL77Ho+HE7UCYfZ6UiIiyg0jGazfAPilEGJUCNEf/vNRrgdG6VOA\nuPJAu+1kA4LYsqS165/Cmlu2oPdgf1wXutjsx4HDib9RHxiZjjs+mZFxb3TSr5f5SPW8iDtu6Iar\nxqE5zkzko0Qrn5mKdH9jmSwTpc6GqZn9G/RsP6dCzKoRERFReTMyW/4JgGsBnAXg7PAfNrgoQDHd\nw9HirsaWf/1cdE+r2Ens+JQv+vdI23GjneC0ygdT0StjsyV5jtra81s0J/bpBkv5CnwKuaWy3vXY\nvK0vrivku38YTvhszC4/yfZzKrZ1KcUUEEb+bd328yMFu1aMiIioEBkJsE5IKX8lpXxPSvl+5E+u\nB0aZs9uAa69YEr2t1VAiVlBJ7ASXbCKoznRoUU8atTIfyxcbn2ye0uxMmNhnEixlOqEvhsYE6dC6\nHoUcFCZTTOtSiiUg5EbDREREmTOyButxIcRfAfgFgOiiHCnlZM5GRbp27apMeUxQATY/2Yfn9hxO\nGVxFDIxMY8OmHsMtrn926yW46uYtuq+nXiegtXYg2zU9Zq9n0VsLlGp/KC1mrhvLxRqlQlnLYcbn\nVCjvxahi2OuomNaKERERFRojGaw7Afw7gBMAxsN/xnI5KNKnKH5Dx41OeA0HVxFaLa4ja64iAZgR\nDmPLtKLnyGf2QS8z1+Ku1s2GZZLZMStTkc+1XGaWr8Vm/B58Tv97WCwZHTOxyxcREVFpSzkVllLa\nNf44Uj2P8s/rrwEQmqRGNhBO18DINL5zzwtYc8sWfOuuXXGvo57cr9Ao8QOAQBCGg4BsJpuZBATq\nCT0ADI5Ox609isi2PM6M4DGfZXvJgp10SiTVQeGhYzNJvw/FVOJXLopprRgREVGhSSPXQIVMUYD/\nevlOAKGAIZn6mkq46526j/v8Qd127LGT+ztu6NZ9ndjjcrV+KZPsx4ZNPXHt5wGkbD2vNdkEgJHx\nGVx1s/77KsZMhVawk24WLd2gsBg/p1JnRmax1NYtEhERGcUAq4REWrQnCxjc9U48cufleGjjZboZ\nqHTc9vVzkz6e6xI3dRnjVTfrT+bUa6lSiQQZemue/IHQB52r0r0Nm3o0r2VlhR0DI9OmTFzVk2Ct\nYEcvYPrWXbs4cS5h2Ww0XEwbKhMREZmNAVaJ8KdYmmW3hQKGOU210Qk1gITfUttS9E6vrLBjMGZy\n397WqBmoRYKTXJe4bd7Wl1AOufdAP/78e9sTJnNaY9GTyW/szXxfesFghcMWfb/ZTlzNmARrPYfl\nZaUhEmzf/IV5aWcWi7UjJRERkRksDbCEEJcKId4RQhwQQnxX55gfhR/vFUKcFXP/A0KI40KIffkb\nsfUuuCAxpXHBBQp+9PTjmsfbwoFV+4JGDIxM493Dw3ET6oGRaVQ4bNEJsF45HBAKrnz+IBTET8iv\nvXJJzhsVPPhcv2a5kV7QpLVhcSrueifc9U7NYMCMbF869N5XJGsWK9OJq9FJcLLvhNZz1OVlrhoH\ny/+IiIiobFgWYAkhHAB+DOBSAEsArBVCfFx1zOUA2qWUiwF8A8C9MQ//Z/i5lERDnRMLZrs0mzhE\nxE7a1ZPjSMDR4q6GX6NxRqQphl6jAr3JeTqbFW/Y1INDx2ayLjdKFii0uKvx0MbL8NDGyzSDASOt\n0YstS5Nq7VmEVmOQVGK/D2vPb8lgdImKdU1PsY47G8xiEhFRObMyg7UKwMHwxsU+AI8C+JzqmDUA\nNgOAlHI3gEYhxNzw7RcADOVxvAXjgguUuD/JJm0VDruh0rjYLETs5Pi2r58bXZMDnfJBnz+IOx/Y\njfXruhKCE73J+bt/GDYcJCXLtOgFTe56Z8JkLlnwuH5dV8qJ8BkL9DMwRrN2Rifbeu/LrlHDqd5Y\n2gi9c2t9bsDJ70RkvVssrYlz7FquU5r1G6qkM95syhmtCnLKdS1SKbffL8eAmYiI0mNlgDUfwOGY\n20fC96V7TFlL1rgh098Y63V1S5YBSlamppf9MGNNhlYAF8lGaU3m9ILHzdv6Uk6Ef3jT+UkDtFTS\nmWzrBaZBjbRTZGPpVOeOnRTqBd0VDrvm5xb5Tvz6+1dZMnHOZk2PlUFOOa9FsqL9fq6Dn3INmImI\nKD0VFp7bYIFSQt7E6PMSeDyeTJ9asPSCKxuAb14xCyPH38Npc6pw6NhM0texAbj63Iakn9Hnz67C\ne0ccGJsKaD7u9foSnv/gc/1Jz631HDWt8btqHNHxXn1uAx76rRdTM0HUVtlTvo9vXjELADBy/D14\njofu0/ocB0amceumF3HzF+ZF77v63AY8sssHAPjypxqj2ZnY19Jj9Byx5/rJ08lb7kck+xzV1yBZ\nJ0Uj1yP2M0j1WUd4PJ64cZw+twrXXGR8XZteOaOR8Sb73FvdFRmPyYhsxp2pbD5nPZmOVevfWq5o\nfc//bP02rD2/xZQsauQ11ZL9Gy4Epfj/vXLC61fceP3Kl5UB1lEAC2JuL0AoQ5XsmLbwfRnp7OzM\n9KkFy/bIEc1JXEO9M/p+OztDG/+q93+KsNtC2RkjWYjb5wzjO/e8kNC5L/JbavVrbHxki+5r6T1H\nrbMT+LP126KBXSRrEvH4ph5MeYOADVh8aguuWp28dbwWvc/R6ayM+950Arhqddovn9Y5Ys/1k6f1\nP7+I2M8xNju1vL0Vd9zQnfQaqF+nxV2NjY8ciXu+1rhiPwOtc8byeDx4fM9M3OT30LEZ3PPkCUPX\nHwBW7JlJmNwa/f7ofe7TPiWrMRmRzbgzEVmvGGHGe/J4PEXxs1Prez42FcBjL4/G/bzIRrr/hq1W\nLNeOtPH6FTdev+JlRmBsZYngawAWCyEWCiGcAL4MYKvqmK0ArgEAIcQ5AIallDn+PWhx0VtMrt6f\nKna/KLWb1q40PPlqb2s0pUzMbkNaz1l7fotmuZFZJTv5WJSf7jn0Spxil2HFfvZ6n4Vezteuep1I\nM5R0Pkujn3+2pXLZrOnR+9zVvyRId0xG5HstUjmXJOYDm3cQEZERlgVYUko/gBsB7ADQB+AXUsq3\nhRDXCyGuDx/zFIBDQoiDAO4D8NeR5wshHgHQA+AMIcRhIcRf5v1NFACjE7j2tkb4A4kTSiD1+h0t\nRtdXaE1I7LZQUJeOU5qdmuvCzJpQ5mMinO459NZJNdRpr/3S+ywqdBpT3LR2ZdzrZPJZ5nNCn+ma\nHr3PPdWeb2axYi1SOcpH8FPKzTuIiMg8VpYIQkq5HcB21X33qW7fqPPctTkcWlFZv64rOqFtcVdH\nNxGOLdfasKnHcFvuyPHJyr4iTQ9SueOG7rjyRHV5XyGJ/RxzNRE24xwVDntan2FDXWj9idY1uLBz\nge7zsjE0Oo2DR4ajE8/l/397dx8kV3Xeefw3M3oZGUkjaxACIcVvI07A2RL22MjWxpHD2gs2QUDs\nmCjZGEUpx9oEKjJibWfRECGxWeO1YtXC2pO14yDKZSBZbIR5iSDGJTsZijXtiHWt8BFCliMZScjS\nasSLRi+o94/uHt3pvq/d9/Z96e+nikLdc+/0vX369pznnuc8Z2COZ6pcWGE/c27c3vc4jimMVo47\nqnadUxa167umHd8TAIB861m3bl3ax9AW+/fvXzdv3ry0DyMRs2f26tqlAyo9/7L+78+OjD9/4Mjr\neuKZn+uH238x4XmnWudr9syzd2XrKxPWfs+vvePcCduF9WvvOFfPPn9Qb+qd1PBaYe3fv19u7bdj\n9xEdOPL6hOfczimM2vt47dKBpo4x7teIem5+2//Gu+YHtkEz76XbPlIlK/HZ5w/q2qUD2r9/v35/\n2WI98czPdfzE6fHfe89tVwS+B0PDI9p0/4913xNWO3Yf0eXvaS4gdHvfL3/PgqaOKcuSOCevay+L\n4viuCdKO74m45Knt0Ij2yzfaL7+qbXd7K7+jqxxlWCPHSqVSueiTDZfdsiXSKFV3l7TlS/VLj0lX\nr3EvitA3fYredkGf78hWUvwmi2ZphCxo5C+qqOfW6nvRzP5en5fa/rW227Xv6IQ7/2HWDEu6QETU\nY8qDuM+Jidr5RdvlG+2Xb7RfflXbrqWJBKmmCCJdM86JVrp49NWTEzq8tYIGaXdMJ6RIznRPkWxW\nlICpPiCI4/2Jmo7kt32Yc2km/emiBbO0c+/EohZ+iw+H5TW/6zNf3qaurnjat53pe+2S53OK+wYF\nAABpSLOKIGLmtRDwm6Y2xtFulQabkYUKZbUO5YLzZmjn3mhV8Py4Vcj77c991/P3JVHwwWvR56Dt\nF5w3Qzdv2ja+4KrbuVy9ZouuXjNxQdaoryc1LsAsSUeOjWnzI9GLp4TFIq/FwyK+AICiIMAqkA2r\nlriWYn/9xOmGktxFqXw1NDyiZbds0bJbtnguAtpsgOMWMJ06fUZrNm3LdKfPraPqt7hwHB3Z+mUA\nnB3kl46cbOp3et0wcMpCgJ8m5+ffq6x/XlBiHgBQFKQIFsjQ8Ijr2j6SdKZcmXP15pnBFcUuXehe\niay/r1c7/zU4FawZzaQGuc3RSfo1pcp7ecc3nmlIw2qmglvYY4hyrF7l3f3UOrLNppZ5LQNweHRM\n92071dTizPVV4aLohFSzJFJSAQBA6xjBKpCgjvWbZ4Ybudqwaon6pp+dn9U3vbIG1cY/W+q5Bkwr\nd9KbTQ0KE0h4BThhXjPMCIpT1DVywp53J6dOOdeQuuhXGt9Ht/btlPeraCM+LOILACgKAqwOEbaj\nUguURl89qcmTuhvmarktmhp2fo+XpDqKfgFOmNf0Srn0ey+jLCob9ryjvj9eHVVn0Oz281Y7sl6v\nu3xpf9O/0zknzC/Ad8py4FGklL64sYgvAKAoCLAKxGvEpTYC5TeSsuyWSkBUC5QkuaYbuhVRCJrf\n8x/+4vHYRw+CFk7u7mptEdDae3K67j0I6vQNzJ+lBefN0JFjY7p507ZMdKJrx7zuU+8fD/6cwVZc\nHVmvDvK82dGqVfqJEsBmTdwja0Uc8am17+RJ3To8OkYgCgDIJQKsAqnv4HZ3BVcLdHb63Ljd+a/v\nKAYZffWk1n3tac+fR+0oBs296u/r1cbVS31TF/1ec8L5VX/W3VUJVIM6r1E60WHPO8r74/benH7j\njHbtOzphNMgZbMXZIfcKgOIauQlT5TCrgUfcI2tFHPGp3aCo3dwpcoonAKC4CLAKxtnB3bh6aWCH\nq5mCCM3s88pr3pXkonYU/V6/fl6YV7Dj95puv/9MWZrU0x3YeY3SiQ573vXbTZ7U7TlC5vb6o6+e\nbHj9Zsqxh+H2e+996lBb50QVMfDwkucRPS9+658xogUAyAOqCBZM3IuMOkd1ah2fMKNW9c6UK6MY\nG1Ytca3w1swCt/Xq0wKDFqpduOBsh7vVdMJm35uw513b7thrJyekbuahctzuAycanmu1amGQOD5P\ncWumymSQPC8q3AxngJ7lzzwAoLMRYHWY+uDGrdNX76sPPtdQnr1ebU7P6KveI1W1hXq9AoSwHcVz\neifr1eOnJjzX3SWtXv7u0B2uclna+a9Hxzu4zv2idITDlorvn9nr+nzYDnJtu2W3bGn4mTNYSaIT\n75SX8udZDDzqy87XRtYwUZjvpKQDdAAAWkGKYAdxS5nb+/IrvtXlDo+OBQZX/X29+ubtH9E3b/+I\nvvyZperq8t7WrXBG1Hkor42danjuTFna/OiOCc81u1BtlBSzsOmSO/ceHU+LS7KSXJLpcc0WaXj7\n+VMbnvMLWItcZa+IKX1xq/8MAwCQNwRYHcQrZU5SUx2aWhENZ0dxYP4s/dXqpbF0kJyd7Xufij7v\nq5WOml9H2HlcUVICD4+O6bN3/bCl+UhhCjgk1Yn3+vx89q4f+gZFn7x8TqigrxPWr0pq7lvRNLP+\nGQAAWdFVbmZCTQ6VSqXy4OBg2oeRKq+AoNbhdUt3q3Vy6kexnKl1XmljodPnXNL0/PadPq0xRdDt\nd0jSrn1Hx0eo+mf2aude7/MII8w59ff16sjomKJcWVHSxdJKMwsbUNa/p6VSSX1z3zFhTpTb+x30\n+UQ6SqWS0v7uJLWyOVloOzSP9ss32i+/qm3nk48VjDlYHSRofo7fHBGv5+sDDuecqvrf56a7S66d\nJb/Uu1ePn1J3VyUtsP546tXPxWm1oxY2JXDhglmuwVzUwMtNWgUcwsyNkdznx9S3Q17mcqFSBfL2\n+ypz/+pvoLSrDbNYtAQAAC+kCHaQMPNzvNLLvJ4PKkvuVdyhZsY5zS1Ce6bsnqLo5DafJyh9Lo45\nQIdHx3T42Jjre71oYetrNMWZZhblfN0+P37z7fxe0y0VcKHLuZAKlq6h4RHtPnCioa3WbNrW1nRO\nUisBAHlCgNVhggIMr46M8/nNj+wINQdpaHikYRTHyW8R5DAFKt4807uAg1cnXpJnR81tn9/+3Hcn\ndBrDHFeN23udpTWampnzVH9OzSzq6xWUewWlRe5QZ72oh1dbuV3XrSyaDABAkRBgdZhW7wTXd8rd\n1DrYYRcEdhOUbtRsJ96vA+i2z6nTZ7Rm07bxoMNt0V+vY/N6r72C3HZ3tpt5j+rPKc6A8f8dG9MN\nV13SMVX2OqGoBwAAnYgAC5EEzUEK08GuXxDYi1f2WW3eVrtGNs6UNSHocAZIX7zpA5EDDLfAK8+d\n7ahVC71GAWul9jshFcyrWErWRoG8RigvWlCMdM6sjyACAPKJAAuReI1adbnMh/LqnG1cvTRU59lt\nvlJtQeHAfUOkrtV3rsKm/9UHSHGURW9mNKlVzaT3ufEbFR0aHtG6b+2b0IHt9IIWYatrZsGGVUs0\nY1rP+OPaDYSNdUsx5DGdM883NQAA2UaAhVjMPGdKQwer1fQxt/23fOka/ebggqb2DRox2vvyK5rU\n0zhuFhR0hEm7zOKd8qTngzkDifoObFFGQJoRlDqbtfdg+dL+SIVv8iKNmxoAUCRZ7NtkBWXaEUlX\nl/so1qQe91i91fLKtf1PnjwVeX+/1/ZKz5o+bZJeHzsdqgR8WF6l7Ptn9uqF6t3yc3q91/aK+lpR\nSmcnWf7ab2Hib995NWsb1fFasiBt82ZPcT2u+tL7AIDO4bdMT56yGZJCgIVIgtbSqtdqJ6y2f6lU\ninzBNvPar4+d1sbVS2MNOjyr5jnWB4uytpeXZr7s0ugknzp9RivWb9UNV12izY/ukNRZaxu5XUNh\nU1/hL8oNhqjfZQCAs/yyALj5RoogIspSmfEkzDhnynjQseC8Gbp507a2DX2HWdvLT9ZSnvzmtB0e\nHeuYghb1Wkl9hbeoc6qK/l0GAEgPARZ8NbNYbx5c6rHgb21dLq81sZatiZ5rHGXtLL+1vZp1eHQs\nlfzo+g4szmrmGiLX3V8zNxiK8F0GAGmIq1BWURFgwVMzi/Um5d6nDsXaudywaon6pk8Zf9w3fWKR\nDq81scqKXnHM7U65V4DXyrpYfoFcWlXS1q5cLLfpeZ3+JRx1PToq3iWj1XUBAaBTkQXgjwALnrKS\ncjY0PKLdB054di6bvbO/7lPvH797XRu5iiLKe1F/p9zvi2loeERXr9kSuUMdZsSodsztGg0ZmD9L\nQ787ny/hFmXlWsyydt5NZTQRAMgC8EOAhViE7XA00zHx61y2cmff7+51lLS+MNxey+2LyW+NpFoF\nPj/O3+m1UPOx1062fTSEL2EkrV13UxlNBIAKsgC8EWDBU9g7wmE7HEl0TJK6s1/fWZs8qfFSaTVY\ncPti8lsjSTpbgc/rPXP+TreFmvv7enXq9JmG55MeDeFLuDXkuofTjkCe0UQAQBACLHgKe0fYa02p\n+g5Hsx2TtDqXzs7aF2/6QGbS3MJ25rzar8traCsmpE/Fj1z3cAjki4HvEAB5R4AFX0F3hNvxx2/D\nqiWaMa1n/LGzc5lk8FXfWWvH3fG4UxPdjjnJ98xtlHLjd/aTPhWDIqRZFqHjzGhiskjBBFAEXeVy\nOe1jaItSqVQeHBxM+zAKZ9ktW+T1EeqStGjh2cU+3eYX1TomQXebv/vk03rw6WOS1LD9ivVbxxft\nbWaB3qxxno+bsO9Z2NeI8z3z+jwUoV06ValUUhzfna1c/1mTl++cuNqunfgOOSuP7YezaL/8qrZd\nS/k+jGAhMWVNvPvYSprTvNlTPFN/Wr2zn7W76mtXLlbf9Cnq7qqUj3eWk48rNawIoyHIlyLNXeL6\nAQD4mZT2ASDfFg3M8ax6V1PrRN1z2xVau3LxeIcqro5JLZWvGfV31WsBYZp31Qfmz9I3b//I+ONd\n+45m6j3z4/Z5mDGtxzO9tNbpXjRwdqQTSFvQZzOp6wfu3yEEsgDyhhEstCTM2ktOcU1Cr406Xb2m\n8l+zo095uKuep4n7bqOUa667oOG4mWfRefIyd4nPZroo6AKgCAiw0DJnusxFv9L4RzDuTpSzA1ST\nhY5Q1lIN07J25eLxsvZHRsd071ONQWweAlvEKy8dZz6b6SMFE0DekSKIltWnyzQzATxKupjfWlHO\ndMQwvFIcD4+OaWh4JHTamluq4dVrtuiiBbO0cfVSz32KmCK3+ZEd42ttlSXtPnAi9bTLLCpq+/tJ\nIkUYxUMKJoC8YwQLsYt69zHulJzTbzQupOvFL8UxynF4BX079x5t26LLSQs7QhdmBCAv6WJJyWP7\nxyEP6a6d/tkEALSOAAuxi9KJcivdLPmn5CS1VpSbOFKD4lx0OS1xBwR5SRdLSt7aP0iR0mM7/bMJ\nAGhdqgGWMeZKY8xPjTEvGGM+57HNf6/+/DljzLui7Its8wquggQV1pjU4/2xdusI1gLCrhZWPIg7\n6MuaKAFB2BEA5lkUQxFH4/hsAgBakVqAZYzpkXS3pCslXSJpuTHm4rptPippwFq7UNIfS/pq2H2R\nfX5zqYI6Ns5CCmH3C+oINpsa5JxLE/ZcipyGVB8Az5jW4zoC4DbSWaSRED9Fav+ijcZJ+UhlBABk\nV5ojWJdJ2mWt3WOtPSXpfknX1G2zTNJmSbLWPiNpljHm/JD7Iqe6u9TQsbn3qUMTOt4D82fp23de\nHSmVJ6gj2ExqkFtFQyev35HFNCS/4CZqQOAcAVi+tD/066c5EtLO4C6L7Q8AAOKRZoB1oaS9jsf7\nqs+F2WZeiH2RcW6d9u4uafXyd094bmh4RLsPnHDteMedyhP193mNXHV3uQcgzk58/8zezKQhBQU3\nUQMC5wjAvNlTQh1DmiMhaQR3RUlDK9JoHAAAcUizTLvHPf8GLcyMmahUKsX1qxCDa987VS/u69Er\nx9+QVEklW3PdBZJeVqn08vh2XkUwbhv+J6257gLddNW5kqTRgy+qdHDidvc+dUi7D5yQJE2b0qXj\nJyd+7GZM69HH3j9zwmfD7/fV8xq5Oqe3Rzddde6E3+E8FqlSYXDGtB4tX9of6rWSFPQeS9LH3j9T\n9207Nf7vKNdTmG293suTJ08lfu2GOf84OD8Dbz9/qm66qhKcpN3+Qfzef7fruP6zj/Twdy/faL98\no/06V5oB1i8kLXA8XqDKSJTfNvOr20wOsW+DwcHBpg4UyVk/9+iEdXHcRkS67tvn2vmeMmWyb5vW\nRr5qjp8sq7tLOlP9XWHW6PJbq8grjax2977+XG6/b0vDtq8cf0P/8x9eVldXumshhXmPByVd/eHo\nv7tUKoW69i790YmGQMfrvYxbs5+xKOo/j7sPnNBdj/4y8+uDhWm/MNcx2i/stYdsov3yjfbLrzgC\n4zRTBJ+VtNAY81ZjzBRJ10t6uG6bhyV9UpKMMe+TdNRaezDkvsiBMJPJo6Yg1dLw3EYlzpS90/fc\nfo9X2tjytY+5/v6+6VOamkuTdvW1LKR5pTkvqR3nX8RiEDUUhQAA4KzUAixr7WlJN0raKmmHpAes\ntc8bYz5tjPl0dZvHJO02xuyS9NeS/sRv3xROA22wYdUSzZjWM/7Yr+MdVHRCkt48M1zH3atD/Nm7\nfqhXj58KfwJVYUq5R+1wx1WYIStFF9Kal9TK+XdK5UMAABBOmimCstY+Lunxuuf+uu7xjWH3RXEt\nX9qvB58+Jkm+HW+/culSZYQpbNl1ryDt1Okznvv6rcG1YdUSrVi/VYdHx3xfP6z6dcRqI2DNpmit\nXbl4QppXEvxSLqWzIyFpaOb8l699bEKw7dcGiwbmeKZAAgCA4kg1wALCmjd7Siwd70k93aHK+MhS\ncAAAGONJREFUrnvp7+v1DJC6u4I75s5OfP/MXu3cOzEdMGyH2+s4ayNgzbxXSQc3cQeEcYt6/kPD\nI64jmV5tUB9gh5kDGLegABcoEj7vANKS5hwsIHbn9E5uaf+gBYPvue0KXbrQvbz8xtVLAwMF51yV\njauXRkpLq6WiXb3GfX5Z1oWdg5SXlLug0VI3aZZmT3udMaCd+LwDSBMBFgrltTHvuVFhOrVeaYHO\n0an6+Tq14GrzIzsiBwZhO9xh5pZJ+U85K0KnyG8kM81iEEUusoFGQ8MjWvetfZm/UZEUPu8A0kSA\nhY7Q3aXATq1fJ+RMWdr8yI7xx7XAaPKkbpXL0me+vK2pwCBshzvMaEmYc0xTmEp9eeoUeS2UHWYk\nE0iSMx03rzcqACDPCLBQKF6d3tXL3x24b1AQ4+ykDMyfpQXnzdCp02c8V8xuZ2AQ9hzTlJVKhXGp\nPx+p0pm9edO2lkcMkkiTzEIpfrRHnm5UJIXPO4A0EWChUNw68Vu+dI1+c3CBz17hOTsp7ZwH5Vfi\nvZlzTGueU1BKZN46Rc6RTEkqq/URg6TSJIsW4AJ++LwDSBMBFgqn2UICYdapiiLOwKC+s9A3fUrT\nxRLSnOcUlBKZt05R7XxOv9FYur/ZEYMkRx9aLbKRlwIknS5vNyqSkmZRGQCdjTLtKJxmy43Xl9Ge\nPKm7Yc2rsH+okyjBXb9OU9B8Mq/yxH4d+LTWoHJqx3pcWZBGCemw14bz2N42d6oGB7NfZh9nZWFJ\ngCxIc109AJ2NESzAwXnH84s3fcB3NGX6NPeS8NOnTU4kMAhbEKOdI1RJjGikWWmvWVFHDPzaKO3R\nh/pj233ghFas3+q77hqyZ+3KxZoxrYfRGwBIAQEW4FDfufdKMfFaZLa/r1cbVi0JFRgklW4VlGIW\nVwe+CCXV4xI1tdGvjdJOk/Q6NuTLwPxZWnPdBbm6UQEARUGABfhwG02pT5VyCntHvwjBCZXKJopz\nvkcW547UCnk4Zen4AADICgIsIKKgcu6HR8cCR6WSDE6CRqgIjJIRJbUxqI3STJP0OraglFkAAFBB\ngAUkwDkqtWbTtrZWXmtXilnac4XyLO00QD/1xzZjWk9gyiwAADiLAAuIKEo598OjY9q592hDKuBC\nl450nJ3W+s67U1yBUX1HfPKkbh05NhbLQrudIMvBivPYli/tH38+jwV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1017 "text/plain": [
1018 "<matplotlib.figure.Figure at 0x7fa638a423d0>"
1019 ]
1020 },
1021 "metadata": {},
1022 "output_type": "display_data"
1023 }
1024 ],
1025 "source": [
1026 "def optimal_portfolio(returns):\n",
1027 " n = len(returns)\n",
1028 " returns = np.asmatrix(returns)\n",
1029 " \n",
1030 " N = 100\n",
1031 " mus = [10**(5.0 * t/N - 1.0) for t in range(N)]\n",
1032 " \n",
1033 " # Convert to cvxopt matrices\n",
1034 " S = opt.matrix(np.cov(returns))\n",
1035 " pbar = opt.matrix(np.mean(returns, axis=1))\n",
1036 " \n",
1037 " # Create constraint matrices\n",
1038 " G = -opt.matrix(np.eye(n)) # negative n x n identity matrix\n",
1039 " h = opt.matrix(0.0, (n ,1))\n",
1040 " A = opt.matrix(1.0, (1, n))\n",
1041 " b = opt.matrix(1.0)\n",
1042 " \n",
1043 " # Calculate efficient frontier weights using quadratic programming\n",
1044 " portfolios = [solvers.qp(mu*S, -pbar, G, h, A, b)['x'] \n",
1045 " for mu in mus]\n",
1046 " ## CALCULATE RISKS AND RETURNS FOR FRONTIER\n",
1047 " returns = [blas.dot(pbar, x) for x in portfolios]\n",
1048 " risks = [np.sqrt(blas.dot(x, S*x)) for x in portfolios]\n",
1049 " ## CALCULATE THE 2ND DEGREE POLYNOMIAL OF THE FRONTIER CURVE\n",
1050 " m1 = np.polyfit(returns, risks, 2)\n",
1051 " x1 = np.sqrt(m1[2] / m1[0])\n",
1052 " # CALCULATE THE OPTIMAL PORTFOLIO\n",
1053 " wt = solvers.qp(opt.matrix(x1 * S), -pbar, G, h, A, b)['x']\n",
1054 " return np.asarray(wt), returns, risks\n",
1055 "\n",
1056 "weights, returns, risks = optimal_portfolio(return_vec)\n",
1057 "\n",
1058 "plt.plot(stds, means, 'o')\n",
1059 "plt.ylabel('mean')\n",
1060 "plt.xlabel('std')\n",
1061 "plt.plot(risks, returns, 'y-o')"
1062 ]
1063 },
1064 {
1065 "cell_type": "markdown",
1066 "metadata": {},
1067 "source": [
1068 "In yellow you can see the optimal portfolios for each of the desired returns (i.e. the `mus`). In addition, we get the one optimal portfolio returned:"
1069 ]
1070 },
1071 {
1072 "cell_type": "code",
1073 "execution_count": 31,
1074 "metadata": {
1075 "collapsed": false
1076 },
1077 "outputs": [
1078 {
1079 "name": "stdout",
1080 "output_type": "stream",
1081 "text": [
1082 "[[ 2.77880107e-09]\n",
1083 " [ 3.20322848e-06]\n",
1084 " [ 1.54301198e-06]\n",
1085 " [ 9.99995251e-01]]\n"
1086 ]
1087 }
1088 ],
1089 "source": [
1090 "print weights"
1091 ]
1092 },
1093 {
1094 "cell_type": "markdown",
1095 "metadata": {},
1096 "source": [
1097 "## Backtesting on real market data\n",
1098 "This is all very interesting but not very applied. We next demonstrate how you can create a simple algorithm in [`zipline`](http://github.com/quantopian/zipline) -- the open-source backtester that powers [Quantopian](https://www.quantopian.com) -- to test this optimization on actual historical stock data.\n",
1099 "\n",
1100 "First, lets load in some historical data using [Quantopian](https://www.quantopian.com)'s `get_pricing()`."
1101 ]
1102 },
1103 {
1104 "cell_type": "code",
1105 "execution_count": 32,
1106 "metadata": {
1107 "collapsed": false
1108 },
1109 "outputs": [
1110 {
1111 "name": "stderr",
1112 "output_type": "stream",
1113 "text": [
1114 "[2015-04-07 21:30:37.025368] INFO: requests.packages.urllib3.connectionpool: Starting new HTTP connection (1): localhost\n",
1115 "[2015-04-07 21:30:38.504771] DEBUG: requests.packages.urllib3.connectionpool: \"POST /api/pricing HTTP/1.1\" 200 999764\n"
1116 ]
1117 }
1118 ],
1119 "source": [
1120 "data = get_pricing(['IBM', 'GLD', 'XOM', 'AAPL', \n",
1121 " 'MSFT', 'TLT', 'SHY'],\n",
1122 " start_date='2005-06-07', end_date='2014-01-27')"
1123 ]
1124 },
1125 {
1126 "cell_type": "code",
1127 "execution_count": 33,
1128 "metadata": {
1129 "collapsed": false
1130 },
1131 "outputs": [
1132 {
1133 "data": {
1134 "text/plain": [
1135 "<matplotlib.text.Text at 0x7fa638a32c50>"
1136 ]
1137 },
1138 "execution_count": 33,
1139 "metadata": {},
1140 "output_type": "execute_result"
1141 },
1142 {
1143 "data": {
1144 "image/png": 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Vh1iw8k8uRxcfeHfw72iOXZSfIxv0QjO3bukQurerz+L/djV5r/7auC5WoCi2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\n",
1145 "text/plain": [
1146 "<matplotlib.figure.Figure at 0x7fa6385f3250>"
1147 ]
1148 },
1149 "metadata": {},
1150 "output_type": "display_data"
1151 }
1152 ],
1153 "source": [
1154 "data.loc['price', :, :].plot(figsize=(8,5))\n",
1155 "plt.ylabel('price in $')"
1156 ]
1157 },
1158 {
1159 "cell_type": "markdown",
1160 "metadata": {},
1161 "source": [
1162 "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.\n",
1163 "\n",
1164 "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)."
1165 ]
1166 },
1167 {
1168 "cell_type": "code",
1169 "execution_count": 34,
1170 "metadata": {
1171 "collapsed": false
1172 },
1173 "outputs": [
1174 {
1175 "name": "stderr",
1176 "output_type": "stream",
1177 "text": [
1178 "[2015-04-07 21:35:18.641456] INFO: Performance: Simulated 2175 trading days out of 2175.\n",
1179 "[2015-04-07 21:35:18.642022] INFO: Performance: first open: 2005-06-07 13:31:00+00:00\n",
1180 "[2015-04-07 21:35:18.642446] INFO: Performance: last close: 2014-01-27 21:00:00+00:00\n"
1181 ]
1182 },
1183 {
1184 "data": {
1185 "text/plain": [
1186 "<matplotlib.axes._subplots.AxesSubplot at 0x7fa62b386bd0>"
1187 ]
1188 },
1189 "execution_count": 34,
1190 "metadata": {},
1191 "output_type": "execute_result"
1192 },
1193 {
1194 "data": {
1195 "image/png": 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Zr7ggM+Lc0SOyueMbJwXXFRwdeVSzUERERETiorQkl71VTVxx5vR+ndfh9vR6zMH6tuDy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\nkgAHR5IkSZIEODiSJEmSJAD+B0KdoNK0zuW5AAAAAElFTkSuQmCC\n",
1196 "text/plain": [
1197 "<matplotlib.figure.Figure at 0x7fa6386f0c10>"
1198 ]
1199 },
1200 "metadata": {},
1201 "output_type": "display_data"
1202 }
1203 ],
1204 "source": [
1205 "import zipline\n",
1206 "from zipline.api import (add_history, \n",
1207 " history, \n",
1208 " set_slippage, \n",
1209 " slippage,\n",
1210 " set_commission, \n",
1211 " commission, \n",
1212 " order_target_percent)\n",
1213 "\n",
1214 "from zipline import TradingAlgorithm\n",
1215 "\n",
1216 "\n",
1217 "def initialize(context):\n",
1218 " '''\n",
1219 " Called once at the very beginning of a backtest (and live trading). \n",
1220 " Use this method to set up any bookkeeping variables.\n",
1221 " \n",
1222 " The context object is passed to all the other methods in your algorithm.\n",
1223 "\n",
1224 " Parameters\n",
1225 "\n",
1226 " context: An initialized and empty Python dictionary that has been \n",
1227 " augmented so that properties can be accessed using dot \n",
1228 " notation as well as the traditional bracket notation.\n",
1229 " \n",
1230 " Returns None\n",
1231 " '''\n",
1232 " # Register history container to keep a window of the last 100 prices.\n",
1233 " add_history(100, '1d', 'price')\n",
1234 " # Turn off the slippage model\n",
1235 " set_slippage(slippage.FixedSlippage(spread=0.0))\n",
1236 " # Set the commission model (Interactive Brokers Commission)\n",
1237 " set_commission(commission.PerShare(cost=0.01, min_trade_cost=1.0))\n",
1238 " context.tick = 0\n",
1239 " \n",
1240 "def handle_data(context, data):\n",
1241 " '''\n",
1242 " Called when a market event occurs for any of the algorithm's \n",
1243 " securities. \n",
1244 "\n",
1245 " Parameters\n",
1246 "\n",
1247 " data: A dictionary keyed by security id containing the current \n",
1248 " state of the securities in the algo's universe.\n",
1249 "\n",
1250 " context: The same context object from the initialize function.\n",
1251 " Stores the up to date portfolio as well as any state \n",
1252 " variables defined.\n",
1253 "\n",
1254 " Returns None\n",
1255 " '''\n",
1256 " # Allow history to accumulate 100 days of prices before trading\n",
1257 " # and rebalance every day thereafter.\n",
1258 " context.tick += 1\n",
1259 " if context.tick < 100:\n",
1260 " return\n",
1261 " # Get rolling window of past prices and compute returns\n",
1262 " prices = history(100, '1d', 'price').dropna()\n",
1263 " returns = prices.pct_change().dropna()\n",
1264 " try:\n",
1265 " # Perform Markowitz-style portfolio optimization\n",
1266 " weights, _, _ = optimal_portfolio(returns.T)\n",
1267 " # Rebalance portfolio accordingly\n",
1268 " for stock, weight in zip(prices.columns, weights):\n",
1269 " order_target_percent(stock, weight)\n",
1270 " except ValueError as e:\n",
1271 " # Sometimes this error is thrown\n",
1272 " # ValueError: Rank(A) < p or Rank([P; A; G]) < n\n",
1273 " pass\n",
1274 " \n",
1275 "# Instantinate algorithm \n",
1276 "algo = TradingAlgorithm(initialize=initialize, \n",
1277 " handle_data=handle_data)\n",
1278 "# Run algorithm\n",
1279 "results = algo.run(data.swapaxes(2, 0, 1))\n",
1280 "results.portfolio_value.plot()"
1281 ]
1282 },
1283 {
1284 "cell_type": "markdown",
1285 "metadata": {},
1286 "source": [
1287 "As you can see, the performance here is pretty good, even through the 2008 financial crisis. This is most likey due to our universe selection and shouldn't always be expected. Increasing the number of stocks in the universe might reduce the volatility as well. Please let us know in the comments section if you had any success with this strategy and how many stocks you used."
1288 ]
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1290 {
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1294 "## Conclusions\n",
1295 "\n",
1296 "In this blog, co-written by Quantopian friend [Dr. Thomas Starke](http://drtomstarke.com/), we wanted to provide an intuitive and gentle introduction to Markowitz portfolio optimization which still remains relevant today. By using simulation of various random portfolios we have seen that certain portfolios perform better than others. Convex optimization using `cvxopt` allowed us to then numerical determine the portfolios that live on the *efficient frontier*. The zipline backtest serves as an example but also shows compelling performance.\n",
1297 "\n",
1298 "## Next steps\n",
1299 "\n",
1300 "* 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. \n",
1301 "* You can also download just the notebook for use in your own environment [here]().\n",
1302 "* In a future blog post we will outline the connections to Kelly optimization which also tells us the amount of leverage to use.\n",
1303 "* We are currently in the process of adding `cvxopt` to the Quantopian backtester -- stay tuned!"
1304 ]
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