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   "cells": [
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "[(watch section)](https://class.coursera.org/compinvesting1-003/lecture/view?lecture_id=163)  \n",
      "[(read the wiki)](http://wiki.quantsoftware.org/index.php?title=QSTK_Tutorial_1)\n",
      "\n",
      "### Imports\n",
      "\n",
      "* numpy, pylab and matplotlib provide a number of functions to Python that give it MATLAB-like capabilities. \n",
      "* datetime helps us manipulate dates. \n",
      "* The qstkutil items are from the QuantSoftware ToolKit"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import QSTK.qstkutil.qsdateutil as du\n",
      "import QSTK.qstkutil.tsutil as tsu\n",
      "import QSTK.qstkutil.DataAccess as da\n",
      "\n",
      "import datetime as dt\n",
      "import matplotlib.pyplot as plt\n",
      "import pandas as pd"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 1
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Some notebook magic, please ignore"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%matplotlib inline"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 2
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### Some symbols and dates\n",
      "\n",
      "We'll be using historical adjusted close data. QSTK has a DataAccess class designed to quickly read this data into pandas DataFrame object. We must first select which symbols we're interested in, and for which time periods. Note that the wiki tutorial script uses 2006, but in the video tutorial, we use 2010. The end date differs to so as we have 2 weeks of data. SPX is the S&P 500."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "ls_symbols = [\"AAPL\", \"GLD\", \"GOOG\", \"$SPX\", \"XOM\"]\n",
      "dt_start = dt.datetime(2010, 1, 1)\n",
      "dt_end = dt.datetime(2010, 1, 15)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 3
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The time at which the market closes is 16:00."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "dt_timeofday = dt.timedelta(hours=16)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 4
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The function ```getNYSEdays(dt_start, dt_end, dt_timeofday)``` returns the days of the interval for which the New York stock exchange was open. It adds  the time of day given as param to each datetime member of the result list."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "ldt_timestamps = du.getNYSEdays(dt_start, dt_end, dt_timeofday)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 5
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "ldt_timestamps"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 6,
       "text": [
        "[Timestamp('2010-01-04 16:00:00', tz=None),\n",
        " Timestamp('2010-01-05 16:00:00', tz=None),\n",
        " Timestamp('2010-01-06 16:00:00', tz=None),\n",
        " Timestamp('2010-01-07 16:00:00', tz=None),\n",
        " Timestamp('2010-01-08 16:00:00', tz=None),\n",
        " Timestamp('2010-01-11 16:00:00', tz=None),\n",
        " Timestamp('2010-01-12 16:00:00', tz=None),\n",
        " Timestamp('2010-01-13 16:00:00', tz=None),\n",
        " Timestamp('2010-01-14 16:00:00', tz=None)]"
       ]
      }
     ],
     "prompt_number": 6
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Note than Jan 4 was the first open day of the interval, and Jan 14, the last.\n",
      "\n",
      "### Data access\n",
      "\n",
      "Create an object that will be ready to read from our Yahoo data source"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "c_dataobj = da.DataAccess('Yahoo')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 7
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "```c_dataobj.get_data``` creates a list of dataframe objects. The dict-zipping converts this list into a dictionary for easier access."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "ls_keys = ['open', 'high', 'low', 'close', 'volume', 'actual_close']\n",
      "ldf_data = c_dataobj.get_data(ldt_timestamps, ls_symbols, ls_keys)\n",
      "d_data = dict(zip(ls_keys, ldf_data))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 8
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Note that in the list of keys, ```'close'``` refers to adjusted close, and actual_close is the raw close price. Looking at the type of the object created by get_data"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "ldf_data.__class__, ldf_data[1].__class__"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 9,
       "text": [
        "(list, pandas.core.frame.DataFrame)"
       ]
      }
     ],
     "prompt_number": 9
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "d_data['close']"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "html": [
        "<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
        "<table border=\"1\" class=\"dataframe\">\n",
        "  <thead>\n",
        "    <tr style=\"text-align: right;\">\n",
        "      <th></th>\n",
        "      <th>AAPL</th>\n",
        "      <th>GLD</th>\n",
        "      <th>GOOG</th>\n",
        "      <th>$SPX</th>\n",
        "      <th>XOM</th>\n",
        "    </tr>\n",
        "  </thead>\n",
        "  <tbody>\n",
        "    <tr>\n",
        "      <th>2010-01-04 16:00:00</th>\n",
        "      <td> 213.10</td>\n",
        "      <td> 109.80</td>\n",
        "      <td> 626.75</td>\n",
        "      <td> 1132.99</td>\n",
        "      <td> 64.55</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>2010-01-05 16:00:00</th>\n",
        "      <td> 213.46</td>\n",
        "      <td> 109.70</td>\n",
        "      <td> 623.99</td>\n",
        "      <td> 1136.52</td>\n",
        "      <td> 64.80</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>2010-01-06 16:00:00</th>\n",
        "      <td> 210.07</td>\n",
        "      <td> 111.51</td>\n",
        "      <td> 608.26</td>\n",
        "      <td> 1137.14</td>\n",
        "      <td> 65.36</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>2010-01-07 16:00:00</th>\n",
        "      <td> 209.68</td>\n",
        "      <td> 110.82</td>\n",
        "      <td> 594.10</td>\n",
        "      <td> 1141.69</td>\n",
        "      <td> 65.15</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>2010-01-08 16:00:00</th>\n",
        "      <td> 211.07</td>\n",
        "      <td> 111.37</td>\n",
        "      <td> 602.02</td>\n",
        "      <td> 1144.98</td>\n",
        "      <td> 64.89</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>2010-01-11 16:00:00</th>\n",
        "      <td> 209.21</td>\n",
        "      <td> 112.85</td>\n",
        "      <td> 601.11</td>\n",
        "      <td> 1146.98</td>\n",
        "      <td> 65.62</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>2010-01-12 16:00:00</th>\n",
        "      <td> 206.83</td>\n",
        "      <td> 110.49</td>\n",
        "      <td> 590.48</td>\n",
        "      <td> 1136.22</td>\n",
        "      <td> 65.29</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>2010-01-13 16:00:00</th>\n",
        "      <td> 209.75</td>\n",
        "      <td> 111.54</td>\n",
        "      <td> 587.09</td>\n",
        "      <td> 1145.68</td>\n",
        "      <td> 65.03</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>2010-01-14 16:00:00</th>\n",
        "      <td> 208.53</td>\n",
        "      <td> 112.03</td>\n",
        "      <td> 589.85</td>\n",
        "      <td> 1148.46</td>\n",
        "      <td> 65.04</td>\n",
        "    </tr>\n",
        "  </tbody>\n",
        "</table>\n",
        "</div>"
       ],
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 10,
       "text": [
        "                       AAPL     GLD    GOOG     $SPX    XOM\n",
        "2010-01-04 16:00:00  213.10  109.80  626.75  1132.99  64.55\n",
        "2010-01-05 16:00:00  213.46  109.70  623.99  1136.52  64.80\n",
        "2010-01-06 16:00:00  210.07  111.51  608.26  1137.14  65.36\n",
        "2010-01-07 16:00:00  209.68  110.82  594.10  1141.69  65.15\n",
        "2010-01-08 16:00:00  211.07  111.37  602.02  1144.98  64.89\n",
        "2010-01-11 16:00:00  209.21  112.85  601.11  1146.98  65.62\n",
        "2010-01-12 16:00:00  206.83  110.49  590.48  1136.22  65.29\n",
        "2010-01-13 16:00:00  209.75  111.54  587.09  1145.68  65.03\n",
        "2010-01-14 16:00:00  208.53  112.03  589.85  1148.46  65.04"
       ]
      }
     ],
     "prompt_number": 10
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### Drawing a figure\n",
      "\n",
      "We pull the close prices we cant to plot out of the pandas dataframe, into a 2D numpy array."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "na_price = d_data['close'].values"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 11
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Now, plotting with matplotlib. Here we first clear the plot (```clf```), plot the data, and then modify the plot to add a legend and some labels."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.clf()\n",
      "plt.plot(ldt_timestamps, na_price)\n",
      "plt.legend(ls_symbols)\n",
      "plt.ylabel('Adjusted Close')\n",
      "plt.xlabel('Date')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 12,
       "text": [
        "<matplotlib.text.Text at 0x4a9c2d0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
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H2eEoFLUbdltbwNu7ddPU1ACFhY2TSkEBcOUKkJLSuLyqqumk0jDhWFvXbvS1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\nAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x4929650>"
       ]
      }
     ],
     "prompt_number": 12
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "To save a PDF file containing the plot:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.savefig('adjustedclose.pdf', format='pdf')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "text": [
        "<matplotlib.figure.Figure at 0x4923310>"
       ]
      }
     ],
     "prompt_number": 13
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### Data normalisation\n",
      "[(watch section)](https://class.coursera.org/compinvesting1-003/lecture/view?lecture_id=165)\n",
      "\n",
      "To better see the variations, we normalize the data with respect to the first day's price (so we divide all rows by the first row)."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "na_normalized_price = na_price / na_price[0, :]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 14
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Plotting:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.clf()\n",
      "plt.plot(ldt_timestamps, na_normalized_price)\n",
      "plt.legend(ls_symbols)\n",
      "plt.ylabel('Normalised Adjusted Close')\n",
      "plt.xlabel('Date')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 15,
       "text": [
        "<matplotlib.text.Text at 0x4d04110>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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CdsteSG5CLs6dnQ2+EOdOzlg5l//GnZsiK8PlFQddki6/OHRwwrZh2SKSFZVD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\nGIwxxmzyf0SYJrlseJrZAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x4cc8110>"
       ]
      }
     ],
     "prompt_number": 15
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### Daily returns\n",
      "**(From here, there are no video tutorials, only the wiki)**\n",
      "\n",
      "The QSTK function ```returnize0``` computes the daily return of stocks (remember, \\\\(\\text{ret}(t) = \\frac{\\text{price}(t)}{\\text{price}(t-1)} -1\\\\)). Beware, ```returnize0``` mutates the array. Make a copy first:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "na_rets = na_normalized_price.copy()\n",
      "tsu.returnize0(na_rets)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 16,
       "text": [
        "array([[ 0.        ,  0.        ,  0.        ,  0.        ,  0.        ],\n",
        "       [ 0.00168935, -0.00091075, -0.00440367,  0.00311565,  0.00387297],\n",
        "       [-0.0158812 ,  0.01649954, -0.02520874,  0.00054552,  0.00864198],\n",
        "       [-0.00185652, -0.00618779, -0.02327952,  0.00400127, -0.00321297],\n",
        "       [ 0.00662915,  0.004963  ,  0.01333109,  0.00288169, -0.00399079],\n",
        "       [-0.00881224,  0.01328904, -0.00151158,  0.00174676,  0.01124981],\n",
        "       [-0.01137613, -0.02091272, -0.01768395, -0.00938116, -0.00502895],\n",
        "       [ 0.01411787,  0.00950312, -0.00574109,  0.00832585, -0.00398223],\n",
        "       [-0.00581645,  0.00439304,  0.00470115,  0.00242651,  0.00015378]])"
       ]
      }
     ],
     "prompt_number": 16
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.clf()\n",
      "plt.plot(ldt_timestamps[0:50], na_rets[0:50, 3])  # $SPX 50 days\n",
      "plt.plot(ldt_timestamps[0:50], na_rets[0:50, 4])  # XOM 50 days\n",
      "plt.axhline(y=0, color='r')\n",
      "plt.legend(['$SPX', 'XOM'])\n",
      "plt.ylabel('Daily Returns')\n",
      "plt.xlabel('Date')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 17,
       "text": [
        "<matplotlib.text.Text at 0x4923a90>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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x7eo2vsMQiawe1KzLhAnAb78Bv/wCLFoku/PU+RyNtrY2tLW10axZM6ipqSEi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\nWKFhMBgMBq/8DzmPN+uMG3k6AAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x4bfcfd0>"
       ]
      }
     ],
     "prompt_number": 17
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### Scatter plots\n",
      "\n",
      "To estimate the correlation between two securities. Let's work with more data first."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "dt_start = dt.datetime(2006, 1, 1)\n",
      "dt_end = dt.datetime(2010, 12, 31)\n",
      "ldt_timestamps = du.getNYSEdays(dt_start, dt_end, dt_timeofday)\n",
      "d_data = dict(zip(ls_keys, c_dataobj.get_data(ldt_timestamps, ls_symbols, ls_keys)))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 18
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Filling the data for NAN: we apply the filling functions in decreasing order of preference."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "for s_key in ls_keys:\n",
      "    d_data[s_key] = d_data[s_key].fillna(method='ffill')\n",
      "    d_data[s_key] = d_data[s_key].fillna(method='bfill')\n",
      "    d_data[s_key] = d_data[s_key].fillna(1.0)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 19
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Getting the numpy ndarray of close prices."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "na_price = d_data['close'].values\n",
      "na_normalized_price = na_price / na_price[0, :]\n",
      "na_rets = na_normalized_price.copy()\n",
      "tsu.returnize0(na_rets);"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 20
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "XOM vs. S&P 500:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.clf()\n",
      "plt.scatter(na_rets[:, 3], na_rets[:, 4], c='blue')\n",
      "plt.ylabel('XOM')\n",
      "plt.xlabel('$SPX')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 21,
       "text": [
        "<matplotlib.text.Text at 0x4fe8850>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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SZvoLCgpk5syZ0qdPH2nevLk8+eST8vvvv5/yCoLy9A9fT6lS8Xq9UqNGksB4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\nnV4ZGRnFrpU+cco31k5C/fr1ix5ctHX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pSGltet9s6kt+5eXliIyM9D42m83eOzUA+pu7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\nRK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x4fdbd10>"
       ]
      }
     ],
     "prompt_number": 21
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Plotting the scatter plot of daily returns between $SPX VS GLD"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.clf()\n",
      "plt.scatter(na_rets[:, 3], na_rets[:, 1], c='yellow')\n",
      "plt.ylabel('GLD')\n",
      "plt.xlabel('$SPX')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 22,
       "text": [
        "<matplotlib.text.Text at 0x5003f50>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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BPj5GHjhw4JbzaNSoFps1k5hGaqpYTnXqVCFJ5uTksG/flxgbG8LY2CiGhemY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\nasfKZYA2kQAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x53ba5d0>"
       ]
      }
     ],
     "prompt_number": 22
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## QSTK Exercises\n",
      "\n",
      "### Exercise: Cumulative Daily Returns\n",
      "\n",
      "Using the daily returns we can reconstruct cumulative daily returns. Note that in general the cumulative daily return for day t is defined as follows (this is NOT Python code, it is an equation):\n",
      "\n",
      "    daily_cum_ret(t) = daily_cum_ret(t-1) * (1 + daily_ret(t))\n",
      "\n",
      "I don't provide the code for this, as it is a programming assignment. If you plot the result, it should look exactly like the normalized returns plot above.\n",
      "\n",
      "#### Answer"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import numpy as np\n",
      "\n",
      "def daily_cum_ret(np_arr):\n",
      "    \"Reconstructs the cumulative returns from daily returns.\"\n",
      "    assert np_arr.size != 0\n",
      "    dcr = np.empty_like(np_arr, dtype=float)\n",
      "    dcr[0] = 1\n",
      "    for ri in xrange(1, np_arr.shape[0]):\n",
      "        dcr[ri] = dcr[ri-1] * (1+np_arr[ri])\n",
      "    return dcr\n",
      "\n",
      "# For comparison\n",
      "plt.clf()\n",
      "plt.figure(figsize=(8,16))\n",
      "plt.subplot(311)\n",
      "plt.plot(ldt_timestamps, na_normalized_price)\n",
      "plt.ylabel('Normalised Adjusted Close')\n",
      "plt.xlabel('Date')\n",
      "\n",
      "# Our reconstruction\n",
      "plt.subplot(312)\n",
      "plt.plot(ldt_timestamps, daily_cum_ret(na_rets))\n",
      "plt.ylabel('Reconstructed Normalised Adjusted Close')\n",
      "plt.xlabel('Date')\n",
      "\n",
      "# floating poing operations cumulative error\n",
      "err = na_normalized_price - daily_cum_ret(na_rets)\n",
      "plt.subplot(313)\n",
      "plt.plot(ldt_timestamps, err)\n",
      "plt.ylabel('Reconstruction error')\n",
      "plt.xlabel('Date')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 26,
       "text": [
        "<matplotlib.text.Text at 0x5824790>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "text": [
        "<matplotlib.figure.Figure at 0x564f190>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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K5ja/E31z8BuT7yVlJ9G0VlOupl0l/Ep40fHknOQyr2myj7tLly5F64FeuXKF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\nl5Y4WYuygc0Bm9FoNCRmJrL68mp61O6Bh70HXWp1wc3OjajUKABuxd+i6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UTOGA/rDlde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\nD+nPwrtq8UjLWuKy08GOH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qpGobdtq7bl5YGPj3p0cFAt6I4doWFDtbDJwoWwdStERsLn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\nF+Cq2AgAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x564f150>"
       ]
      }
     ],
     "prompt_number": 26
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### Exercise: Combining Daily Returns To Estimate Portfolio Returns\n",
      "\n",
      "Suppose we want to estimate the performance of a portfolio composed of 75% GLD and 25% SPY? We can approximate the daily returns in an equation as follows:\n",
      "\n",
      "    portfolio_daily_rets = 0.75 * GLD_daily_rets + 0.25 * SPY_daily_rets\n",
      "\n",
      "Then, using the equation above for cumulative daily returns, we can plot the performance of the combined portfolio. This also is an assignment in my course, so I don't list the code for it here.\n",
      "\n",
      "#### Answer\n",
      "\n",
      "As I am lazy, I approximate \\\\(\\text{SPX} \\approx \\text{SPY}\\\\)"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "p_rets = na_rets[:, 3] * 0.25 + na_rets[:, 1] * 0.75\n",
      "na_plot_cumul_rets = daily_cum_ret(np.concatenate([na_rets[:, [1, 3]], p_rets[:, np.newaxis]], axis=1))\n",
      "\n",
      "plt.clf()\n",
      "plt.plot(ldt_timestamps, na_plot_cumul_rets)\n",
      "plt.legend([\"GLD\", \"S&P 500\", \"portf.\"])\n",
      "plt.ylabel('Cumulative returns')\n",
      "plt.xlabel('Date')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 27,
       "text": [
        "<matplotlib.text.Text at 0x5c08350>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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/DGzYwPuJiZpuQMbivfc4mH+NGqz4mzdnz5uqVfnYy4ttU7qyw5QsqWnDkkLI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\ngg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x5395ed0>"
       ]
      }
     ],
     "prompt_number": 27
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### Exercise: Line fit to Daily Returns\n",
      "\n",
      "Finally, we revisit the scatterplots above that reveal visually how closely correlated (related) the daily movement of two stocks are. It's even better if can quantify this correlation by fitting a line to them using linear regression. Note the red line in the figure on the right; this was computed using one of NumPy's linear regression tools. The value of the slope of the line is reported as \"corr\" which is technically not correct.\n",
      "\n",
      "Wikipedia has [a nice discussion](http://en.wikipedia.org/wiki/Correlation_and_dependence) of correlation.\n",
      "\n",
      "Again, I'm not going to show the code here, but I will tell you that the code is not very complex, and I used the following functions: polyfit(), polyval(), and sort().\n",
      "\n",
      "#### Answer\n",
      "\n",
      "Note that there is no figure on the wiki. So I choose to fit the XOM scatterplot. I also don't use the same functions as the instructor, but my version works too."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "spx_rets, xom_rets = na_rets[:, 3], na_rets[:, 4]\n",
      "coefs = np.polyfit(x=spx_rets, y=xom_rets, deg=1)\n",
      "fit_f = np.poly1d(coefs)\n",
      "fit_x = [np.amin(spx_rets), np.amax(spx_rets)]\n",
      "fit_y = fit_f(fit_x)\n",
      "\n",
      "plt.clf()\n",
      "plt.scatter(spx_rets, xom_rets, c='blue')\n",
      "plt.plot(fit_x, fit_y, c='red')\n",
      "plt.ylabel('XOM')\n",
      "plt.xlabel('$SPX')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 28,
       "text": [
        "<matplotlib.text.Text at 0x5e701d0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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fWrVqlefYrFYr7drdgcUywdh/JjabD3feWYFHHtnG2283YeHCWVgsFs+eVO2q\np2eLaVoBpKSksGfP38A+oCvq0cC72b17N7fd9ihZWZtRQaAyKsD8DmxBDeS/D9yPutVlRk07/hCI\nB5oCp4z33ajxmmDUVORYVLBwcwM30oflNCKdD9lKNDU4wk7ga2Ao8AjwKmqGWZix39NrZ8oa+wd4\nBqt1JDt37iQuLg6ARYsWMWrUx4i4iYn5k127yuF2Z3PrrTczdern+Pr6ev6EatcMHVw07TKtXLmS\n225rSXZ2Q2AnqieSAPwABJKVlQp0QQWHGaiZXlOBG4z3agITUT2RAGAFajzmTWAWZ8Zgwo1yfVAz\nxqzUoQF9mE9t3ud9/HgEH05iQQWm6YAdmI/qTf1i1LsaFfw6AsWAb1ABzIlanHmQ4sWLAzBv3jzu\nvvtB0tP7AZk4HPP49NOxJCYmEh4enu/HlGvXrwvOFrvzzjsvOGPAZDIxa9asK964gtKzxTRPEREO\nHjxIsWLFsFqtAMTHN2Dt2seATqiZW3VQs7TuRvUc3KgewiHURT0bKAE8hurBJKMCyE7UbLISwFeo\nHlBvY88bgNbAZuAQt1KWvoQRjYt3eZGJVCeDVkbdLYE5qFtnu4ETqMF3Eyoo3YO61TYQOICasvwz\nPj4t8POby+OPt+O9994CoGHDlvzyS2ejXQAf0K7dH3z11WQPnVGtKLuiiyhXrFhBeHg49913H3Xq\n1AHI3Zn+1qJdT/7880+aNm3NoUMHMZncTJgwho4dO7Bv3z7UQsdBqFlXZmAd6jbYS6jbUPcCw1BT\njJOA91BjKhOAdKO8E7X2ZQ1qivBUoD1QwdiuGHfwLX14gRJk8w6xfMa35GBFjc2YULPOTqEC1NOo\n3s5kYDlqZlc51PNeOqAWWj6KxZJOyZJZ9OgRSs2aw7j99ttzjzk7OwcVEE+zG+9pWj5daKQ/Oztb\n5syZI507d5YaNWpI3759Zf369QWeQVCY/uPwNC1f3G63lC0bLTDBmCm1Rmy2YLnrrnskMLCUmEy1\nBCIEvheodtaMKjFmaB0+63VzUY8JLiYQKFDFmMEVLRAuUNpIJHmngL+YuUPuxVdWY5VVBEk7AsRM\nB2OGWX+B8aKyE9sEnhMoKzD4rP39KSp9vtWYjbbd+D1RTKZguffeB+XgwYPnPe7PPvtcHI5IgZkC\nX4rdXlp++OGHQj77mrd44tqZrxoyMjJk0qRJEhwcLCNGjCjwTguLDi5aQR06dEh8fQPPumBnCBQX\nlVn4DmNWFezxAAAgAElEQVRqcUVRmYtLGhf3VIFhxhTh01N43xSV3v4NUSnrOxrTh6sYAaKTEXhc\nYiVTHuJp2YRJlmKTFvgJdBN4UCBIwE9UduJwgSbGT0VRjzhuIWcyII8TqG+01S2QKWARHx9/mT59\nRu4xut1uGTx4mFSoEC/R0bXk2WeflfDwOLHZgqR48Si58cbG8u2333rxr6AVtiseXNLT02XatGnS\nrl07SUxMlDfeeEN2795d4J2eNnfuXKlUqZJER0fLwIEDz1vmqaeekujoaKlevbr88ccfl7StDi5a\nQX3xxRfGxXyVccH+zuh5fGe8zhaoIXCjqDT2CUavxF/UehWbETisAnsEZgjcfFYAOGT0cMqLjaek\nBx/I30TID9wst2A1tgsR9RAwuxFIHhBoadSbKVBBYK7AKVG9qBuMcsUFShhBaYdAF4EYsdkCxe12\n5x7jiBGjxGoNN4KQ1QhgLwqkiM3WXu65p4v3/gCaV1zR4NKpUydJSEiQvn37ytq1awu8o3/LycmR\nqKgo2bFjh2RlZUl8fLxs2LAhT5nZs2dL8+bNRURkxYoVUqdOnXxvK6KDi3Z+WVlZsnPnzgs+pOu0\n5ORksdtLCbxlXOBvF5Mp2AgGR87qzXQ3AtB6gdeMi3SAqEWQkaJuV/kIrBN42AhG+wT+ENglAVjk\nRZyyB5NMp77UZplAT+MiX0agn3HRjxSYJGoBZWkjcMUZPab5RgAMkDOLJWuJWpQZavwUF1gqFouv\nuFyu3OOMja1pfL5O1LNm+gqUM45tjzidwVf6T6IVMZ64dl5wEeVnn33Gli1bGD58OPXr1ycgICD3\nJzAwsMBjPcnJyURHRxMZGYnVaqVDhw7MnDkzT5lZs2bRpUsXAOrUqcPRo0fZt29fvrbVtPNZu3Yt\nYWExVKlyEyEhZfnoo7G5nx0/fpyVK1eya9cuABYsWEBm5m3An6jnl2xAxA81zfcdVKLJTagBeDcq\nzcso1AD9TFRa/U2cWQR5k7EnBxBDCe6lP1FsB6pzF015njasYyVJqOSV2Ua9fYx9zkDlIHsDuNP4\n7D0gCjVj7RZUKhgBtqLStfxptCcAGIXN9gEtWrTBbD7zv35OTgbQCpVKxgy8hppt5ga24+9f7LLP\nt3b9umBwcbvdnDhx4rw/x48fL/COU1NTiYiIyH0dHh5Oampqvsrs2bPnottq2r+JCM2bt+XAgTdJ\nS9tNZuYqevV6nWnTpjF37lzKlatE48bdqVQpgT59+nP06FHc7u9Q+cA6oqbuOlEX3Q9RF/yqqGSO\nJtQzTjJR03xPBxILKjD5AJ8BEyjDlwwmlC2kUoa21CWITvRhPa8DaagEkUeMOj8CvjX2eXb+LptR\n53ZgrdEuQa2L8eVM7jIf1ALO/YSE9OGee4KYMmVCnvPywAPtUWtsTs8G+x1wYja/gsPRjuHDB1zu\nKdeuYxddRLlo0SI2bNgAQNWqVT2W+TS/05mlgHOt+/Xrl/t7UlISSUlJBapPu3qdPHmSf/5JRV2A\nAaJIT69N5849ycg4/WCtT4ADvP9+VXx8fFEZjE+igoULlXblF9Q6lnjgD9SFPBPVWwF1oe9vfLYA\nFWAsRFKMF3mce5nK/4ilOneSyjDUavyNqESVJVC9k9GoRJdfoxZDNkYFuEGogPIxYCY0dDhHj95A\ndvbPqCD2G2oFf19UL+Yn4Ee6dXuIceNGnve8vPLKK8yevYTVq2sAVTGbF/DAAx0IC7PRrNl06tat\ne7mnXLtKLFmyhCVLlni0zgsGl9TUVO6++278/PxITFSPNP3qq6/o3bs306dPJywsrEA7DgsLIyUl\nJfd1SkoK4eHh/1lm9+7dhIeHk52dfdFtTzs7uGjXLpfLxcGDBwkJCblgnit/f3/sdicnTvyCWrl+\nDFhDRsZU1Or6GkAzIIPMTBeZmWNR60ceQ13UawIxqDUsG1Gr3F9HBZAvgHqoXkMVVM/mHuAUcfzA\ny9xNSxoxhqeJYwYH6Ii6FZWKWkyZAvyNClI7UYHiODAb1eO5HZUTrAeqZ2QDTjBy5Du8+eb77NzZ\nlOzsCDIzu2G3VyczcxwwnODg0vTvP5jHH3/8gufOYrGwfPkC5s6dy4EDB6hXr39uChjt+vDvL979\n+/cveKUXGoy56667ZNKkSee8//HHH0urVq0KPNiTnZ0tFStWlB07dkhmZuZFB/SXL1+eO6Cfn21F\n9ID+9WLx4sUSEBAqPj7FxG4vLnPnzr1g2blz54rTGSKBgY2NmVTPGQPXy4wB9JeMmVltRWUdPj2l\nt5RAJWPAvpaobMR7jdd9BXobM8Q2G58FSE3myzTuln2UlD7UkSAqGwPzdmPgvbaomWf+Aj1EZSe2\nGQPyocbvFQTmnTV5YLAxgF9ToJwkJydLenq6TJkyRUaPHi0rVqyQuXPnyooVK/LMCNO0S+GJa+cF\na4iJibngRv/12aWYM2eOxMbGSlRUlAwYMEBEREaPHi2jR4/OLfPkk09KVFSUVK9eXX7//ff/3Pbf\ndHC59h09elTs9hLGbCkRWChms1NSU1MvuM3u3btlzpw5Urx4WVGLBEXgfmMmV4hAL1FTfasZAWa4\nQLDAXUYgCBU17ThUoIMxo+shIxA0lAbEyVyskkKI9GSoODghag3LOwLpxgyvaCNI2QSeEvjSqLuR\nEdwqiFovM8KYGTZN1ELOEIHlRnvt0rVrV/n77791INE86ooGl+jo6PP+g3W5XBIVFVXgHRcGHVyu\nfStXrhSzOfqsb/YiUEmeffbZi267bNkyCQgoKUFBN4rJVMwIID+dVc/tRpDxN3o15UVNBz4oak3J\n28Zn6lkpTTHLj5SQrVSUbvQUX4IE7jV6GaFGQBlnBJMgUdOTfYxejFPUlOP9Rs/GIWrqsM3Yb6hA\n0lntmyxqAWZHAYcEBZWSRYsWFcIZ164Hnrh2XnC2WMuWLXn00UeNx5sqJ0+e5LHHHqNFixYX2kzT\nPMrtdrNr1y7++eefcz7bt28fL77YD7d7D2rMAtQU2r1kZGSfU/7EiRPce+9DBAeXo1KlRPbu3cu0\naZ8wevSzhIeXRg3cpxh1gBo7mYNKCOmPeqa9E5UzrDjwDia+og1jWYmT9xHG0JRKbGI8w8jiC9Qg\n/5+oPGJ7gWmosZ5wVCr8k6jB9/KoKcALUOM25VC5wr41yrcytqlnvD8O6IYaj2nLsWPNadXqXg4c\nOHAZZ1nTroALRZ3NmzdLr169JDg4WBISEiQhIUGCg4Plueeek59++qnAUa0w/MfhaV7idrtl1qxZ\nMnTo0It+0z548KBUr15P7PbS4usbJJ06PZK7+C87O1uio+PFx+clY7wj2LilVEqs1lCZN2/eOfU1\nb95O/PzuF9gm8LSAXfz9a4nFEiQmU22jN1FP1FjMW6JW2nc0bkXFiEqlUkPgqFgYKfdTW9ZTRZJJ\nlLuYJiYwejb7BXKM22wVjV7IToHpxvZBxm21HKMXssHYV5KosZ1lohYx+oh6amWkwEJRizKLGz2b\nWmdt30+gvQQFNZSFCxeec9yHDx+WNWvWyNGjRz3zR9SueZ64dl6whgoVKsjAgQPl2LFjsmbNGlm7\ndq2kpqZKx44dpWbNmgXecWHQwaVocbvd0rnzo+LvX138/HqIw1Eh93HA59OmTSexWnuIWjV+QhyO\n+jJ69BgREfnzzz/F3z9KzqRRWSdQUnx8bDJs2Ln579xut1gsvqIeGZxsXKCfEfUY4RuMi/o/Rl2/\niVpxP0hUGhRfUSvqa4gfFeVRiss2zLIYqzRhrNGGv4xtiokatPeT048PVoHg7Nt2McYtsn+MAPGg\nqDxhAQJ3G5+VMd53CljEZCouJtOLYrU2M4LVbaImDywyAs7LYreXPmdiy6effi42WzEJCKgiTmew\nzJ4927N/VO2adEWDy+HDh+XRRx+VatWqyYIFC2To0KFSrlw5GTFiRJ7UEUWZDi5Fy6pVq8ThKGdc\n4EVgn/j6BsihQ4fOWz4ioqrA6rMuyiOkS5fHRERk+/btYrOVFEgzPssUpzNSVq9eLceOHZPatW8R\nH58QsdlKy5tvviUZGRliswWKyiQcKioRZE/jwlxaVL6v30VlEnaLGktpICpHV5A46CHPUl52Y5HZ\nREt9poka6A8UeFLOZCc+PeDf96zXTqM3IgI/GoHNavRM7AKNReUYq2a8riIqZ9gBge/FZguV5cuX\nS//+b8jIkSMlIaGBmM01jYAUKWAXu72c9OzZO8/52717t9jtwUbgVTPinM5gOX78+BX/W2tXtysa\nXE4bOnSomEwmCQsLk127dhV4h4VJB5eiZf78+RIUdEueb/FOZ3nZunXrecvfdlsrMZsHGmVzxG5v\nJYMGvSf79++X2bNnS1LS7WK3NxQYJnZ7U2nS5C5xu90SG5sg0F5gpcD7AnYJDi4nfn7RRjB47aw2\nfGj0XPwFKotK/HiT0TsIkSD2yytYZT8m+ZJEqUEpOdNbElEp8jG2f8oIDDcbrzuKus12Ooicnl5c\nUmCLgNkIKqfrus/4vJXRzmICFcRksuc5L4cOHZI77+wgISGREhNTU15//fXz3qpesmSJBAXdlOd8\nBwRUuuoenaEVvkLpuVSvXl3mzZsnPXv2lKpVq8qCBQsKvNPCooNL0XLgwAEJDCwl8LVAmphMI6Rs\n2WhJT0+XUaM+koceelwGDx4imZmZIqJ6J6VKVZDAwJvE37+K1KvX2FjTUlIcjlvEYikrgYHh0qJF\naxk+/APJysqSY8eOicnkJ5B11kW1nKj1K25Ra0v+d9Zn84xv/6c/zxRoIKFUkAE45SCBMgkfiTOC\njeqFHJUz6fcjBAYYn20VlfI+UODzs/ZxlxFILKJmn50OThVFrW85aLTDaQQlf4E1cnqNjcUSdFlT\njf/++2+j57LVqGu12O3F9NiLdlFXfMzl3Xfflezs7Nz3Vq1aJXXr1pUOHToUeMeFQQeXomfFihUS\nEREnFotVKleuLZs2bZL27R8Uh6OhwAdit7eQm29unnvr9fjx47Jw4UJZtmyZ5OTkSEREnKiBcRF1\nS6ya+PoGyi+//CIiImlpaWIyWeXMQ7rcogb714oaaykhKlPwaoGNRs8jTFSGYpFwdslwbpFDIB9i\nl/LUEZU6v5iogfqnBOJFPZ+llhEISolapzJd1LhJlJy5FSUC7xn7CTd+fhW13qWanJnKXFzUAsky\nogbuz/Q2fH2DLvhQr4v56KOxYrOVkKCguuJwBMsXX3zpsb+ldu26osHlQrfA3G63jBkzpsA7Lgw6\nuBR9KSkpYrMFi1o3op6P4nTGyMqVK89bXg3Knzrr4vu0QBtp165Lbpm2bTuKuj01SuAegSAxmV4W\ntQixs6gHeUUavQ5fgSSJpquM5yE5RHF5l7JSGqeosZhaRo/i1rOC1eeibnM9L+qBXwHG6+LGPp8Q\ntcL/mKgJA2VEjd18IGqg/3R5p9EOp6hB/jiBd439Hs/tbdhsgXm+5F3OOf7pp59k7969l12Hdn3x\nxLXzgutczs46fDaTycSjjz7qubnQ2nUtPT0di8XJmYy/PlgsxUhPTz9v+SpVaqHydgHsQa0DKY/b\nLbllHnvsIXx8/sZkGg78jM3mg8gI4GXgB1Tiyh3AOKph5XOWsYyJpDCTGPx4kZPsw43K6xVi1JqM\nWq9iQq11sQCTOJN6fyEqX5kLlQbfbmwbj8pHdgKVKv8XVM6wKahMx6NQ+cXuNP67zagvFoejNQ5H\nEyZPHoePz0VzzF5QeHg4DRs2pHTp0pddh6ZdKpMRpa5JJpOpwFmVtSvL5XJxww112br1ZrKzH8Bi\nmU2pUpPYvHk1TqfznPLbtm2jbt3bOHjwBCrJ4504HIuZM+dLbrnlFgDCw+NITR2OSkLpBiqiFiV2\nBSYDf3AjIfTlb2rjYCi+fMRaTnIAlfL+FtTTKCoB7VBJKbehAksx479BqEWRLlQw2Iha7NgIqI9K\nmb8dmI7KYPw1KjnmkrOOpjSwzGifC5VqHypXrsETTzxIyZIlSUhIICYmpiCnWNMumSeunTq4aF53\n4MABunXryapVa4mNjWbChOGUL1/+guVdLhcTJkzgf/+bjs1m4+WXe9CoUaPczx2OYqSnb0MFiCzU\n6vcUIIRbWUwf7iWGQ7xLIBOxk0Fl4BAqGE1B9Uz8UNmHG6CCRV+jviqoXkgMapV8jFG2JjAS+BW1\nct6NCk4O4CiwA5PJgchmVBr/jUACsA8VqDYCNejZ8zGGDRtWwDOqaQWjg8tF6OByfdi6dSuffz4F\nk8lEx4730bVrT376KRWRrainSmTTkkfpy8+U4DjvYOdzupDNs6hbVSOBDCACqANMBIah0unHonog\nx1CpWTqgejI3o1LgLwC+QT0obBoqmJ1E9WBeRj2Ncgk+PtsoX74U27btBqqjnvXij0rpUgf4HLvd\nwsmT+/M8JVLTvMET1079r1i7qq1bt46EhPq88cYR+vc/RI0a9YiPj8Fk8sHMbtrzIaux8hYjGMoG\nqhDLx+wlmweNGjqhbnOB6oF0A7agxlLWAytR4zQ+qOATAKxGjZv8gBorcaLGgX7A6XSwbt0q7Pbf\nUQHnc+BlcnKGsm3bLmAA6iFe96ACUQPgb6xWG4MHv3XJgSUlJYU5c+awbt26Sz95mnYlFXhKQBF2\njR/eVePvv/+WVatWSVpamsfrvvPO+4zZX2r2mMk0WCLLxslDdJFNxMhS6kkLBhuzvhYas7SqyZmV\n/e8IJIhK8xIo0EZglqg8ZXJWvaGishP3FShrzDIrIyrj8QyBSeLj01HatOkkIiJHjhyR0qXjJO+z\nWIaJygwgAhvF1zdYIiKqSmRkdXn//eGXvJZl+vQZ4nCESFBQU3E4ysoLL7zi8fOrXZ88ce28pq++\nOrh4l9vtlscff1ZstmAJCKgqoaHl5a+//vLoPho0aCnwjYCIjTR5koclxeIj800lJYmFxtTht42p\nwWJMAz69NqWS8foGAafUr99AqlatLWbz6bxgG+T0M2ICAkJl4sSJ0rBhE7Faa4hKYZNjTB+OFLU4\n0i4JCQ3lzTffkYyMDElISJIzz4sRgYECjwiImM3DpF69ppd93FlZWeJwFBO1dkcEDorDESG//fab\nB8+udr3SweUidHDxrlmzZonTWVXgiPHt/yOpWrVOvrfPycm5aJlRo8ZIKXtleZGesocQ+dbiL1Of\ne15KlCgnauFiLVEr9HcILBCV1uULUSvynaJyiYnAc1KlSqKIqIWbY8eOF5stSAICYiUgIDQ32/CX\nX34p/v5JRtCae1YvqKmotC2TxG5vKY0a3SnTpk0Tu72sqHxm74vZHCA2WzkJDGwgISHlZNOmTZd3\nYkVk3759xvqgM72rwMDW8tVXX112nZp2mg4uF6GDi3e988474uPz/FkXwCPi5+d/0e127dol8fE3\nidlskaCg0jJz5szzFzx4UNyvviqnHE752s8pt5QIl4EDB4vb7ZaxY8eKn1+cqCdEFjN6GA6BWAkP\nryoWS0ie22kwWYoXD5PHH+8p8+fPFxF1a2v9+vVy8uTJ3F2mp6dL1ao3is3WxriFdreoVC0VBLLl\ndBJNhyNMNm/eLHPmzJFWrTpK+/YPSnJysixfvlwWLFhwwRQs6enpMmnSJBk8ePB/9kJcLpeEhEQI\nfGXs8y+x20Nl48aNFz2/mnYxOrhchA4u3jV9+nRxOm+Q06vNTabxEheXeNHtqlWrIxZLP1H5wSaL\nyRQoZrNNfH1DpX79xrL9l19EevUSKV5cpFs3kS1bzqnD5XJJ586PGgGlhKhV7y8LFJMmTZrI/fc/\nJCrB5CmjVxMoZvNjAu+JwxEuH3/8yQXbd+rUKRk6dKg8+ODD4ucXLGrFfhU5kzPMLU5nxUtOEJme\nni7Vq9cTh6OJ+Pr2FIejlHz55YV7IitXrpTg4HBxOMLFZguUSZM+vqT9adqF6OByETq4eJfb7ZaH\nH35S7PZSEhhYU4KDw2XdunX/uU1aWpqYzVZRz3A5agyeTxY4IpG8JqOwy2GTSdIefVTkP7J0L1u2\nTMqXr2rc+upzVq/iUzGbw8RmC5FatRqKxWITk8ki0OmsXsxSKVu20n+2c/PmzTJq1Ch54oknxc/v\n9DhOD4Gfxdf3SalSpfYlp2yZPHmyOJ1NzgpSyyU4OOI/t8nKypIdO3bk6V1pWkF54trplanIhw8f\npkmTJsTGxtK0aVOOHj163nLz5s0jLi6OmJgYBg0alPt+v379CA8PJyEhgYSEBObNm1dYTdcugclk\nYsKEkaxZ8zM//DCKnTv/olq1auctm5OTw65du8jOzsbPzwFsANYCEcRxI5PpyW+M5Ag2Emx1+a5x\nY7hAiqJVq1bRoEET/v77TaAFagX86fQpAbjdGWRk9OPPP9ewcuUyLBY/1HqT00qSkZF2weP68ccf\nqVGjPr16/c7HH28mMjKGP//8lfbtT1K58gu0bZvBzz/Pu+SULYcPHyY7O44zU6Mrc/z4of/cxmq1\nEhkZed5sBprmVR4IcpfshRdekEGDBomIyMCBA6V3797nlMnJyZGoqCjZsWOHZGVlSXx8fO5T9vr1\n6ydDhgy56H68dHjaJdq4caOULRstDkcZ8fX1l+bN7xA/vxC50edW+Qpf2Ueo9OEtCWKbQDFxOuvJ\njBkzLlhfTMwNop7UKAJzRD1HZYaoacFRAs8K1BO7vZSMGzdOnM6bjTLTRWVHrivlysXJc8+9KNu3\nbz+n/tjYWnJ6hhq4xWZrK++//36Bz8Mff/whdntJgaUCR8TX91Fp0qR1gevVtEvliWunV3ous2bN\nokuXLgB06dKFGTNmnFMmOTmZ6OhoIiMjsVqtdOjQgZkzZ+Z+Lnrl/TXjzjs7sGdPJ9LSypOVlcnx\nuQuZmZXONzlL2FaqJLGWEgzgAMdohtkcRenSJ6lWrRqpqann/XewfftGVFLLLKA5UA21Wv5t4BWg\nPXAAf38/4uLiENmNWpX/LtAG+JNdux5k2DAhIaE+O3bsyFP/wYP/oBJSApjIyIhn374DBT4PCQkJ\nfPLJR4SGdsTPL4KkpANMnTqxwPVqmjd4Jbjs37+fUqVKAVCqVCn2799/TpnU1NQ8mZnDw8NJTU3N\nfT1ixAji4+Pp2rXrBW+raUWfy+Viy5Y1wOc05QZ+pDYfE8jXYqYis+l37ASjP3md1q13cdNN5enZ\nsxGRkZFUrXoj0dE1SEpqSVpa3ltYJUqEoZJC3gL0AtZgsewHegOVga44nUf54YeZ3HTTTdSrVwV4\nCpXq5TgwFeiN2/0uJ050YtSosXnqv+22W/Hzex2V5HITDscEGjVK8sj5aNv2bv75ZycZGSf4/vtv\nKF68uEfq1bTCdvl5vC+iSZMm7Nu375z333777TyvTSYTJpPpnHLne++0xx9/nNdeew2AV199lV69\nejFhwoTzlu3Xr1/u70lJSSQlJeWj9VphsZhMdHIWo+ep7djxYQB9mMq9uLgdMOOTY6Fnz744nf4M\nGNCHDRs2s2wZZGbuAcwkJ3fmpZf68cEH7+bW+emnY2jduiNudywiX1CtWiVeeeUFXnnlLdLS0mnf\nvg1vv90vd0xk5Mj3iI+vR1ZWDVTiyeDcutzuEE6d2punzRMnjqR9+4eYP784fn5OBg16m6ZNm175\nk6VpV8iSJUtYsmSJZyst8I21y1CpUqXcBxft2bNHKlU6d2bO8uXLpVmzZrmvBwwYIAMHDjyn3I4d\nO6RatWrn3Y+XDk/Lj+xskU8+EalSRY5ER0trfMTEbjnzhMkKoh6cFWCMgywWhyNMatS4+ay1HSIw\nVxITG51T/datW+WTTz6ROXPm5Gsx5osvvioORznx9Y0XtfhyhcAssdtLyc8//3zebVwu12U9fljT\nijpPXDu9clusVatWfPzxxwB8/PHHtG7d+pwyiYmJbNmyhZ07d5KVlcXUqVNp1aoVAHv3nvkmOX36\ndG644YbCabhWcJmZMGYMxMbCuHEwdCjFNm8mqtcL+PrVx2J5EojHYjmGydQflZ04AUgiLa0XmZmn\n8PX9HvUMFcFq/Z7KlaPO2U1UVBSdOnWiefPmWCyWizZr0KA3WLz4KyZOfIEnnmhMhQqPUbXqO3z5\n5XgaNGhw3m3MZvN/9rA17XrmlZT7hw8fpn379uzatYvIyEi+/PJLihUrxp49e3jkkUeYPXs2AHPn\nzuWZZ57B5XLRtWtXXn75ZQAeeOABVq9ejclkokKFCowZMyZ3DOdsOuV+EXLqlAoqQ4ZAfDz06QP/\numgvWrSIVatWERYWRt26dWnV6n7WrXseNcgOFsvzPPZYDgsX/kJqqgAWQkLS+fXXRYSGhhb+MWna\nNUo/z+UidHApAo4ehZEj4YMP4JZb4OWXoWbNfG06f/58Wre+n7S0J7BYDhEY+A2rVy+nVKlSrFix\nAhGhTp062O32i1emaVq+6eByETq4eNE//8DQoTB2LNxxB7z0ElSufMnVrFy5ki+//AaHw8Yjj3Ql\nPDz84htpmlYgOrhchA4uhef48eNs376dciYTJSZOhE8+gQ4d4IUXoEIFbzdP07RL4Ilr5xWbiqxd\nPxYsWECvu9rTKxvKZR9lTZOmxP/5J5Qp4+2maZrmJfoxx1qBZP3+O0eat2Rhmosd2U8Rwwrq/fIH\n29IunJtL07Rrn+65aJfn119hwADMy5ezxmSnK7s4QSAAQb4JbNq0iaioc6cIa5p2fdA9l2ucy+Xi\n5Zdfp0KFeKpVq1+wDNIisHgxNG4M99wDTZqQs2kTw3wtnGCDUWgXWVmriY6O9kj7NU27OumeyzXu\npZdeZ9SoH0lLmwDsoW3bLixZ8h21a9fOfyUiMHs2DBgAhw6pmV/33w++vtiAKVM+pkOHO7Bao8nM\n3MKAAf2JjY29UoekadpVQM8Wu8aVLh3D/v3TUZmBAfrz/PMZvPfeOxff2OWCadNUUDGZ1MLHtm3h\nPCveDxw4wObNmylXrlyehKOapl199Gwx7aLsdgdwJh28j88/BASU/u+NsrPh009h4EAoUQLefhta\ntjsKawcAABCASURBVFQB5gJCQ0P1KnlN03Lpnss1burUL3n44WdJS3sWiyWVoKCvWLcumbJly55b\nOD0dJkyA996DmBjo2xeSkv4zqGia9v/27j6oqTPfA/g3WhAVBN8IarRoBEHejG9o59KBQtCyirZj\nUe9MTdVaa51ttV51nFY39Y4tOjLYar12fblFR3fKzihi7ULZncaXVq7UouOlUmvbAEKCNoilwG5Q\nn/uHNldKgIQcchL4fmYyQ06eX/j9+qi/nvPkOel5pPi3kwv6PdzChRk4deoIZs06hwED/vJogX8r\nmpub/3/QL78AO3YA48YBRUVAbi7w978DSUlsLJ0oKytDQUEBampq5E6FyKOwufQCAQEBOHu2GA0N\nR3H37lfIzTVj5co1Dxfn//QnQK0GLl8GCguBkyeB+Hi5U/YK69e/jWnTtFi0aCfCwuJsN1wlIq65\n9Ap/+1sB/vWvZQCSAQBB/3wL0z5JBD79K/D888BXXz28DEYOKykpwd69R9Dc/L9obh4C4AIWLpyD\nu3dvOXSLf6KejmcuvUBg4CD4+hrxJIz4EK+hDMno7+MLXLkCHDjAxtIFP/74I/r2nQZgyKMjM9HS\ncp9fuU30CJtLL7B05kwc6fMZLmECfsEVTO7vh0GH/gzwI8NdFhMTg3v3zgH4/tGRvyIwMBBDhgzp\nKIyo1+CnxXo6IYDZs9E8bRoO+vnB/E8r0tJm46mnnpI7M6+3f/8h/PGPa/HEE0Hw83uAwsI8TJky\nRe60iFzGW+53gs2FultDQwNu374NlUoFX19fudMhkgSbSyfYXIiInMcd+uTxhBAoKipCRUUFJk+e\nzMtGRL2ELAv6dXV10Gq1CA8PR2pqarufsFm2bBmUSiViYmK6FE/yEkJAp3sVzz+/BmvWXMDTT6dj\n796P5E6LiNxAluaSmZkJrVaL69evIzk5GZmZmXbHLV261O4t4h2NJ3mVlJTg+PEiNDaWoKnpEJqa\nzmHt2v9AE79IjKjHk6W55OfnQ6fTAQB0Oh3y8vLsjktISMDgwYO7HE/yMpvN6Ns3AsDAR0fGoW/f\ngbhz546caRGRG8jSXGpra6FUKgEASqUStbW1bo0n95g8eTLu3y8BYADwAArFf2Hw4ACEhHRyV2Yi\n8nrdtqCv1WphNpvbHN+2bVur5wqFAgoXbo7YWbxer7f9nJiYiMTExC7/LnKOSqXCiRPHsHDhv6O+\n/hbGjYvCp5+e4u1RiDyMwWCAwWCQ9D1l+ShyREQEDAYDQkJCYDKZkJSUhPLycrtjjUYj5s6di6tX\nrzodz48iew6r1cp9IERewmtvuZ+eno6cnBwAQE5ODubPn+/WeHI/Nhai3kWWM5e6ujpkZGSgsrIS\noaGhyM3NRVBQEGpqarBixQrbrcsXL16MM2fOwGKxIDg4GFu3bsXSpUvbjW9THM9ciIicxh36nWBz\nISJyntdeFiMiop6NzYU6dPPmTZw9exbV1dVyp0JEXoTNhdp18ODHCA+fhPT0TQgLi8ORI0flTomI\nvATXXMguk8kEtToazc0XAIQD+Bb9+/8bKiuvY9iwYXKnR0TdiGsu1G0qKirg6zsODxsLAEyEj89o\nVFZWypkWEXkJNheyS61Ww2r9EUDpoyMluHfvJsaOHStnWkTkJdhcyK7hw4cjJ+fP6N8/GQEBkRgw\nYDaOHftvuzcSJSL6Pa65UIfq6+tRVVWFMWPGIDAwUO50iMgNuImyE2wuRETO44I+ERF5JDYXIiKS\nHJsLERFJjs2FiIgkx+ZCRESSY3PpwR48eIDs7A/whz8swurVb+L27dtyp0REvQQ/ityDvfLK6zh6\n9BKaml6Dj8//ICTkc5SVlSAgIEDu1IjIg3GfSyd6c3OxWq0YOHAQ7t0zA3j4LZ0BAak4dOgVLFiw\nQN7kiMijcZ8LtUsI8egPR7/Hjvrh/v37cqVERL0Im0sP1a9fP8ybl4H+/TMA/AN9+mxDv36XkZKS\nIndqRNQLyNJc6urqoNVqER4ejtTUVNTX19sdt2zZMiiVSsTExLQ6rtfroVKpoNFooNFoUFBQ4I60\nvc6xYwfw2muxmDTpPzFnThkuXjyDoUOHyp0WEfUCsqy5bNiwAcOGDcOGDRuwfft23LlzB5mZmW3G\nnTt3Dv7+/liyZAmuXr1qO/7OO+8gICAAb775Zoe/pzevuRARdZXXrrnk5+dDp9MBAHQ6HfLy8uyO\nS0hIaPcW72waRESeS5bmUltbC6VSCQBQKpWora11+j12796NuLg4LF++vN3LakREJI8nuuuNtVot\nzGZzm+Pbtm1r9VyhUEChUDj13qtWrcKWLVsAAJs3b8a6detw8OBBu2P1er3t58TERCQmJjr1u4iI\nejqDwQCDwSDpe8qy5hIREQGDwYCQkBCYTCYkJSW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       "text": [
        "<matplotlib.figure.Figure at 0x5804190>"
       ]
      }
     ],
     "prompt_number": 28
    }
   ],
   "metadata": {}
  }
 ]
}