HRP Notebook.ipynb

hrp-notebook.ipynb

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        "<a href=\"https://colab.research.google.com/gist/firmai/7ddf22fb73e44953d1b86737afb855a4/hrp-notebook.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
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      "cell_type": "markdown",
      "metadata": {
        "id": "tBAWHn6iIwte"
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      "source": [
        "# Hierarchical Risk Parity with PortfolioLab\n",
        "\n",
        "## Abstract\n",
        "Throughout this notebook, users will be taken through how they can construct optimal portfolios using the Hierarchical Risk Parity algorithm. Users will also be shown how to create custom use cases and how to build a Long/Short portfolio.\n",
        "\n",
        "All calculations and algorithms will be implemented through the PortfolioLab library.\n",
        "\n",
        "\n",
        "## Introduction\n",
        "The Hierarchical Risk Parity (HRP) algorithm was developed by Dr. Marcos Lopez de Prado in 2016. Throughout this notebook, we will go through how we can implement this algorithm through the PortfolioLab library. \n",
        "\n",
        "The HRP algorithm is computed throughout 3 main steps:\n",
        "1. Hierarchical Clustering - breaks down our assets into hierarchical clusters\n",
        "2. Quasi-Diagonalization - reorganizes the covariance matrix, placing similar assets together\n",
        "3. Recursive Bisection - weights are assigned to each asset in our portfolio\n",
        "\n",
        "\n",
        "### Support Linkage Methods\n",
        "PortfolioLab allows users to customize the type of linkage algorithm for the use of clustering. The current supported linkage methods are:\n",
        "1. Single Linkage - the distance between two clusters is the minimum distance between any two points in the clusters\n",
        "2. Complete Linkage - the distance between two clusters is the maximum of the distance between any two points in the clusters\n",
        "3. Average Linkage - the distance between two clusters is the average of the distance between any two points in the clusters\n",
        "4. Ward Linkage - the distance between two clusters is the increase of the squared error from when two clusters are merged\n",
        "\n",
        "**The default linkage method in PortfolioLab is set as the Single Linkage method.**\n"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "Note you have to pay for the software, there are a few old repos that you can check out https://github.com/The-Makers-of-things/portfoliolab"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
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          "text": [
            "Collecting git+ssh://****@github.com/The-Makers-of-things/portfoliolab.git\n",
            "  Cloning ssh://****@github.com/The-Makers-of-things/portfoliolab.git to /tmp/pip-req-build-0atnb3ja\n",
            "  Running command git clone -q 'ssh://****@github.com/The-Makers-of-things/portfoliolab.git' /tmp/pip-req-build-0atnb3ja\n",
            "  Host key verification failed.\n",
            "  fatal: Could not read from remote repository.\n",
            "\n",
            "  Please make sure you have the correct access rights\n",
            "  and the repository exists.\n",
            "\u001b[33mWARNING: Discarding git+ssh://****@github.com/The-Makers-of-things/portfoliolab.git. Command errored out with exit status 128: git clone -q 'ssh://****@github.com/The-Makers-of-things/portfoliolab.git' /tmp/pip-req-build-0atnb3ja Check the logs for full command output.\u001b[0m\n",
            "\u001b[31mERROR: Command errored out with exit status 128: git clone -q 'ssh://****@github.com/The-Makers-of-things/portfoliolab.git' /tmp/pip-req-build-0atnb3ja Check the logs for full command output.\u001b[0m\n"
          ]
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    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "AbrIP30OIwtg"
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      "outputs": [],
      "source": [
        "# importing our required libraries\n",
        "import pandas as pd\n",
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "import matplotlib.patches as mpatches\n",
        "import seaborn as sns\n",
        "from portfoliolab.estimators import ReturnsEstimators\n",
        "from portfoliolab.clustering import HierarchicalRiskParity"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "diAaPyfJIwth"
      },
      "source": [
        "## The Data\n",
        "\n",
        "In this tutorial, we will be working with the historical closing prices for 17 assets from 2010-2018. The data we are working with was chosen because the clustering structure is clearly visible so it is a very good dataset for working with and visualizing various clustering techniques."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
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          "data": {
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              "<div>\n",
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              "\n",
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              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>FTSE</th>\n",
              "      <th>EuroStoxx50</th>\n",
              "      <th>SP500</th>\n",
              "      <th>Gold</th>\n",
              "      <th>French-2Y</th>\n",
              "      <th>French-5Y</th>\n",
              "      <th>French-10Y</th>\n",
              "      <th>French-30Y</th>\n",
              "      <th>US-2Y</th>\n",
              "      <th>US-5Y</th>\n",
              "      <th>US-10Y</th>\n",
              "      <th>US-30Y</th>\n",
              "      <th>Russel2000</th>\n",
              "      <th>EuroStox_Small</th>\n",
              "      <th>FTSE_Small</th>\n",
              "      <th>MSCI_EM</th>\n",
              "      <th>CRB</th>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Dates</th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>1989-02-01</th>\n",
              "      <td>2039.7</td>\n",
              "      <td>875.47</td>\n",
              "      <td>297.09</td>\n",
              "      <td>392.50</td>\n",
              "      <td>99.081</td>\n",
              "      <td>99.039</td>\n",
              "      <td>99.572</td>\n",
              "      <td>100.000</td>\n",
              "      <td>100.031</td>\n",
              "      <td>100.345</td>\n",
              "      <td>101.080</td>\n",
              "      <td>101.936</td>\n",
              "      <td>154.38</td>\n",
              "      <td>117.50</td>\n",
              "      <td>1636.57</td>\n",
              "      <td>133.584</td>\n",
              "      <td>286.67</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1989-02-02</th>\n",
              "      <td>2043.4</td>\n",
              "      <td>878.08</td>\n",
              "      <td>296.84</td>\n",
              "      <td>392.00</td>\n",
              "      <td>98.898</td>\n",
              "      <td>99.117</td>\n",
              "      <td>99.278</td>\n",
              "      <td>99.692</td>\n",
              "      <td>100.000</td>\n",
              "      <td>100.314</td>\n",
              "      <td>101.017</td>\n",
              "      <td>101.905</td>\n",
              "      <td>154.94</td>\n",
              "      <td>117.69</td>\n",
              "      <td>1642.94</td>\n",
              "      <td>135.052</td>\n",
              "      <td>287.03</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1989-02-03</th>\n",
              "      <td>2069.9</td>\n",
              "      <td>884.09</td>\n",
              "      <td>296.97</td>\n",
              "      <td>388.75</td>\n",
              "      <td>98.907</td>\n",
              "      <td>99.002</td>\n",
              "      <td>99.145</td>\n",
              "      <td>99.178</td>\n",
              "      <td>99.812</td>\n",
              "      <td>100.062</td>\n",
              "      <td>100.921</td>\n",
              "      <td>101.718</td>\n",
              "      <td>155.69</td>\n",
              "      <td>118.62</td>\n",
              "      <td>1659.11</td>\n",
              "      <td>137.134</td>\n",
              "      <td>285.63</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1989-02-06</th>\n",
              "      <td>2044.3</td>\n",
              "      <td>885.49</td>\n",
              "      <td>296.04</td>\n",
              "      <td>388.00</td>\n",
              "      <td>98.484</td>\n",
              "      <td>98.502</td>\n",
              "      <td>98.510</td>\n",
              "      <td>97.739</td>\n",
              "      <td>99.812</td>\n",
              "      <td>100.062</td>\n",
              "      <td>100.794</td>\n",
              "      <td>101.468</td>\n",
              "      <td>155.58</td>\n",
              "      <td>118.89</td>\n",
              "      <td>1656.86</td>\n",
              "      <td>137.037</td>\n",
              "      <td>284.69</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1989-02-07</th>\n",
              "      <td>2072.8</td>\n",
              "      <td>883.82</td>\n",
              "      <td>299.63</td>\n",
              "      <td>392.75</td>\n",
              "      <td>98.438</td>\n",
              "      <td>98.312</td>\n",
              "      <td>98.292</td>\n",
              "      <td>97.688</td>\n",
              "      <td>99.906</td>\n",
              "      <td>100.251</td>\n",
              "      <td>101.144</td>\n",
              "      <td>102.092</td>\n",
              "      <td>156.84</td>\n",
              "      <td>118.28</td>\n",
              "      <td>1662.76</td>\n",
              "      <td>136.914</td>\n",
              "      <td>284.21</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "              FTSE  EuroStoxx50   SP500    Gold  French-2Y  French-5Y  \\\n",
              "Dates                                                                   \n",
              "1989-02-01  2039.7       875.47  297.09  392.50     99.081     99.039   \n",
              "1989-02-02  2043.4       878.08  296.84  392.00     98.898     99.117   \n",
              "1989-02-03  2069.9       884.09  296.97  388.75     98.907     99.002   \n",
              "1989-02-06  2044.3       885.49  296.04  388.00     98.484     98.502   \n",
              "1989-02-07  2072.8       883.82  299.63  392.75     98.438     98.312   \n",
              "\n",
              "            French-10Y  French-30Y    US-2Y    US-5Y   US-10Y   US-30Y  \\\n",
              "Dates                                                                    \n",
              "1989-02-01      99.572     100.000  100.031  100.345  101.080  101.936   \n",
              "1989-02-02      99.278      99.692  100.000  100.314  101.017  101.905   \n",
              "1989-02-03      99.145      99.178   99.812  100.062  100.921  101.718   \n",
              "1989-02-06      98.510      97.739   99.812  100.062  100.794  101.468   \n",
              "1989-02-07      98.292      97.688   99.906  100.251  101.144  102.092   \n",
              "\n",
              "            Russel2000  EuroStox_Small  FTSE_Small  MSCI_EM     CRB  \n",
              "Dates                                                                \n",
              "1989-02-01      154.38          117.50     1636.57  133.584  286.67  \n",
              "1989-02-02      154.94          117.69     1642.94  135.052  287.03  \n",
              "1989-02-03      155.69          118.62     1659.11  137.134  285.63  \n",
              "1989-02-06      155.58          118.89     1656.86  137.037  284.69  \n",
              "1989-02-07      156.84          118.28     1662.76  136.914  284.21  "
            ]
          },
          "execution_count": 2,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "# preparing our data\n",
        "raw_prices = pd.read_csv(\"https://open-data.s3.filebase.com/assetalloc.csv\", sep=';', parse_dates=True, index_col='Dates', dayfirst=True)\n",
        "stock_prices = raw_prices.sort_values(by='Dates')\n",
        "stock_prices.head()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
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        {
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\n",
            "text/plain": [
              "<Figure size 1224x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "# Taking a quick look at our most recent 5000 data points\n",
        "stock_prices.resample('M').last().plot(figsize=(17,7))\n",
        "plt.ylabel('Price', size=15)\n",
        "plt.xlabel('Dates', size=15)\n",
        "plt.title('Asset Prices Overview', size=15)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "LS3FPdzOIwtk"
      },
      "source": [
        "We can also plot the volatility of our stocks as well for further inspection."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "Z-1di2mLIwtk",
        "outputId": "3bf8b64a-79be-49fa-cbff-5bbba7854ff2"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1224x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "# plotting the volatility of our stocks\n",
        "volatility = stock_prices.pct_change().rolling(window=252).std()*(252**0.5)\n",
        "\n",
        "plt.figure(figsize=(17,7))\n",
        "plt.plot(volatility)\n",
        "plt.ylabel('Volatility', size=20)\n",
        "plt.xlabel('Date', size=20)\n",
        "plt.title('Volatility of Asset Prices', size=18)\n",
        "plt.legend(stock_prices.columns, loc='upper left')\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "C67ZrsqXIwtl"
      },
      "source": [
        "Additionally, we can plot the covariance matrix of our assets as well."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "3E199FeiIwtl",
        "outputId": "21ba3ce2-bd0a-40e2-c998-daf618345170"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "<Figure size 504x504 with 0 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 720x720 with 4 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "asset_returns = ReturnsEstimators.calculate_returns(stock_prices)\n",
        "plt.figure(figsize=(7,7))\n",
        "g = sns.clustermap(asset_returns.corr())\n",
        "g.fig.suptitle('Correlation Matrix of Asset Returns', fontsize = 20)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "FiSylrSCIwtm"
      },
      "source": [
        "## HRP Implementation\n",
        "\n",
        "Throughout these examples, we will show readers how they can construct an optimal portfolio using the HRP class provided through PortfolioLab.\n",
        "\n",
        "In order to construct our optimal portfolio, we must first instantiate the HierarchicalRiskParity() class and then run the allocate() method. Please note that the allocate method requires only two parameters to run its default solution:\n",
        "1. asset_names (a list of strings containing the asset names)\n",
        "2. asset_prices (a dataframe of historical asset prices - daily close)\n",
        "\n",
        "Users are also given the option to customize many different parameters in the allocate() method, some of these include:\n",
        "1. The type of linkage algorithm being used\n",
        "2. Whether to shrink the covariance matrix\n",
        "\n",
        "Additionally, instead of providing raw historical closing prices, users can choose to input asset returns, a covariance matrix, and a distance matrix instead. For simplicity, we will only be working with the two required parameters as well as specifying our linkage algorithm of choice.\n",
        "\n",
        "Throughout this section, we will construct four optimal portfolios - one portfolio for each supported linkage algorithm."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "u2xXnfJ1Iwtn",
        "outputId": "5bfe4205-82b4-4ceb-e766-63fe738ae031"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "HRP Portfolio Weights - Single Linkage \n",
            "       US-2Y    US-30Y     US-5Y    US-10Y  French-30Y  French-10Y  French-2Y  \\\n",
            "0  0.342019  0.005462  0.031405  0.010994    0.007092     0.02637   0.447405   \n",
            "\n",
            "   French-5Y      Gold       CRB     SP500  Russel2000   MSCI_EM  FTSE_Small  \\\n",
            "0   0.083377  0.004831  0.027454  0.002351     0.00173  0.001613    0.005024   \n",
            "\n",
            "       FTSE  EuroStoxx50  EuroStox_Small  \n",
            "0  0.001463     0.000535        0.000875  \n"
          ]
        }
      ],
      "source": [
        "# constructing our Single Linkage portfolio\n",
        "hrp_single = HierarchicalRiskParity()\n",
        "hrp_single.allocate(asset_names=stock_prices.columns,\n",
        "                    asset_prices=stock_prices,\n",
        "                    linkage='single')\n",
        "\n",
        "print(\"HRP Portfolio Weights - Single Linkage \\n\", hrp_single.weights)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "4rRZGnYYIwtn",
        "outputId": "c6d70509-577c-4445-c564-344d62ca2947"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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jvAYAAAAAYHCE1wAAAAAADI7wGgAAAACAwRFeAwAAAAAwOMJrAAAAAAAGR3gNAAAAAMDgCK8BAAAAABgc4TUAAAAAAIMjvAYAAAAAYHCE1wAAAAAADI7wGgAAAACAwRFeAwAAAAAwOMJrAAAAAAAGR3gNAAAAAMDgCK8BAAAAABgc4TUAAAAAAIMjvAYAAAAAYHCE1wAAAAAADM7meRfA7O13zCnzLmFDXXTsYfMuAQAAAACYMTuvAQAAAAAYHOE1AAAAAACDI7wGAAAAAGBwhNcAAAAAAAyO8BoAAAAAgMERXgMAAAAAMDjCawAAAAAABkd4DQAAAADA4AivAQAAAAAYHOE1AAAAAACDI7wGAAAAAGBwhNcAAAAAAAyO8BoAAAAAgMERXgMAAAAAMDjCawAAAAAABkd4DQAAAADA4Ox0eF1Ve1TV/avqHrMoCAAAAAAA1hxeV9XPVtU7q+p2E2N3S3JukrOTnFdVJ1XV5nWoEwAAAACABTLNzuufT3LP7r5iYuz3k9w9yRlJzklyeJLnz648AAAAAAAW0TTh9b2TnLXtoKp+OMnjk7yzux+b5MFJPhvhNQAAAAAAO2ma8HqvJJdMHD8syeYkJyZJd1+T5H1J7jaz6gAAAAAAWEjThNffSnLrieMDk3SSj0yMfSfJrWZQFwAAAAAAC2yahyt+PsmhVXWzjELrpyU5p7svn5hz1ySXzrA+AAAAAAAW0DQ7r49P8qMZhdifGX8+YcmchyQ5dzalAQAAAACwqNYcXnf3XyQ5NsktMmof8sfjV5Kkqh6dZL8kZ8y2RAAAAAAAFs00bUPS3a9K8qrtnP5Iktsm+c+dLQoAAAAAgMW25p3XVfXcqrrP9s539/eS3CXJs2ZRGAAAAAAAi2uantdvS3LEKnMOT/LWHa4GAAAAAAAyXXi9FpuS9IyvCQAAAADAgpl1eP1jSa6c5gtVdUhVnV9VF1TVMcucP7yqzqmqT1XV2VX18JlVCwAAAADAIK34wMaqOmHJ0BFVtd8yUzcl2TfJI5KcstabV9WmJG9KcnCSrUnOqqqTu/u8iWmnJzm5u3vcc/udSe651nsAAAAAALDrWTG8TnLkxOdOcr/xazmd5P8k+eUp7v/gJBd094VJUlUnZtQ3+wfhdXd/e2L+LaMtCQAAAADAbm+18Hr/8XsluTDJG5L84TLzrktyZXf/55T33zvJlyeOtyZ5yNJJVfXkJL+d5EeSHDblPQAAAAAA2MWsGF539xe3fa6q1yY5Y3JsBmq52y5Tx7uTvLuqHpnkdUkee6MLVR2V5Kgk2XfffWdYIgAAAAAAG23ND2zs7td294dmfP+tSe4ycbxPkotXqOFDSe5WVXsuc+747t7S3Vv22muvGZcJAAAAAMBGWq1tyI2MH7J4jyS3zehBjTcyRch9VpIDqmr/JF9J8owkz1pyv7sn+cL4gY0PSHLTJF+ftm4AAAAAAHYdU4XXVfVrGT2Q8darTF021F6qu6+tqpckOW38nRO6+9yqOnp8/rgkP5PkuVV1TZL/SvL07vbQRgAAAACA3diaw+uqekWS1ya5KslfZvSgxWt3toDuPjXJqUvGjpv4/DtJfmdn7wMAAAAAwK5jmp3XL8yotccDuvuydaoHAAAAAADW/sDGjB6s+B7BNQAAAAAA622a8Ppr2YEHPAIAAAAAwLSmCa/fmeTgqrrZehUDAAAAAADJdOH1rye5JMm7qmr/daoHAAAAAAC23wakqi5cZniPJHdO8viquirJN5aZ0919txnVBwAAAADAAlqph/VNkvSSsWuTfGniuJb53nJjAAAAAACwZtsNr7t7vw2sAwAAAAAAfmCantcAAAAAALAhhNcAAAAAAAzOSj2vb6CqnruGad9P8s0kn+nuz+9wVQAAAAAALLQ1h9dJ3pYbP8Bxu6rq3CQv7u4PT1sUAAAAAACLbZrw+vlJjkhyeJL3J/lIkq8luUOSRyR5TJL3JPlokgck+dkkp1XVw7r707MsGgAAAACA3ds04fVlSQ5Ncmh3n7b0ZFUdklF4/Wfd/ftVdUKSf0ryyiTPmkWxAAAAAAAshmke2PgrSU5aLrhOku7+/5OclORXx8enJ3lfkgN3tkgAAAAAABbLNOH1fZNcuMqcC5PcZ+L43CR7TlsUAAAAAACLbZrw+ntJfmKVOfdJcs3E8eYkV09bFAAAAAAAi22a8PqMJE+oqqOWO1lVRyd5QpIPTAzfM8nWHS8PAAAAAIBFNM0DG49J8qgkb66q/zfJPyf5WpI7JHlYkrsn+UaSVyVJVd0hyUFJ3jzDegEAAAAAWABrDq+7+/NV9ZNJ/iSjUPqAJVPOTPLi7v7c+PjSJLfKDduIAAAAAADAqqbZeZ3uPj/JY6pqnyT3S3LrJN9M8snu3rpkbif57qwKBQAAAABgcUwVXm8zDqr1sgYAAAAAYF1M88BGAAAAAADYENvdeV1VJyTpJK/q7q+Nj9eiu/sXZlIdAAAAAAALaaW2IUdmFF7/TpKvjY/XopMIrwEAAAAA2GErhdf7j9+/suQYAAAAAADW1XbD6+7+4krHAAAAAACwXjywEQAAAACAwZk6vK6qJ1bViVX16aq6YGL8XlX1iqrae7YlAgAAAACwaFbqeX0DVVVJ3pbk58ZD/5Xkv01MuTLJbyWpjB7yCAAAAAAAO2SandcvSvKcJG9Ncrskvzd5sru/muSjSQ6bWXUAAAAAACykacLrX0jy6SQv7O6rkvQycz6fZP9ZFAYAAAAAwOKaJry+R5Izunu50HqbS5PstXMlAQAAAACw6KYJr69NcvNV5uyd5Ns7Xg4AAAAAAEwXXp+X5FHjBzfeSFXdPMmjk3xyFoUBAAAAALC4pgmv/zLJPZO8vqpu8L2q2pTkD5LcOcnbZlYdAAAAAAALafMUc/80yZOSvDTJ05J8K0mq6l1JHppRcP3e7v7rWRcJAAAAAMBiWfPO6+6+LskTkvxGkpsm+bEkleQpSW6R5HUZhdoAAAAAALBTVtx5XVV7dPc12467+9okr6mq12YUXt8+yVVJPjsOtwEAAAAAYKet1jbkyqr6cJIPJDm9u/81Sbq7k5y/3sUBAAAAALCYVguvNyf56SSPS5Kq+kaSM5KcnuT93f359S0PAAAAAIBFtFp4fZskP5Xk0ePXlox6XD85SarqKxkF2adntDP7kvUrFQAAAACARbFieN3d38n14XSq6lZJDsz1YfZPJHlekueOz5+f0Y7sl65jzQAAAAAA7OZW23l9A939rST/MH6lqm6f64PsxyW5Z5J7JBFeAwAAAACww26yk9/fd+L1IztfDgAAAAAATLnzuqrumet3Wj8qyW2TVJJLkpyc0cMcz5htiQAAAAAALJoVw+uqumuuD6sPSnKnjMLqS5O8P8mZSc7o7vPXt0wAAAAAABbJajuvLxy/fz3JhzLeWd3d561rVQAAAAAALLTVel7X+P2cJJ9IcnaSz65rRQAAAAAALLzVdl4/O9e3DfnNJJ3k21X14Yx2YX+guz+5viUCAAAAALBoVgyvu/tvkvxN8oP+14/N9Q9rfHySrqpvJPlgrg+zz13PggEAAAAA2P2ttvP6B7r7i0neMn6lqu6d63dlPzLJ4ePxy7r7jrMvFQAAAACARbHm8Hqp8UMbz6uqdyc5OMkvJ/mJJHvNqDYAAAAAABbU1OF1Vd0+yUEZ7bh+TJK7bzuVUU/sc2ZWHQAAAAAAC2nV8LqqfijJgbk+rP7xjILqGk/5QpLTk3wgo57Xl69PqQAAAAAALIoVw+uq+liSLUk25fqw+uKMHs54epLTu/vL61ohAAAAAAALZ7Wd1w9NcmWSMzPeXd3dn13vogAAAAAAWGyrhddbknyyu3sjigEAAAAAgGSV8Lq7/3WjCgEAAAAAgG1uMu8CAAAAAABgKeE1AAAAAACDI7wGAAAAAGBwhNcAAAAAAAyO8BoAAAAAgMFZc3hdVftW1Q+vMudWVbXvzpcFAAAAAMAim2bn9X8kedkqc146ngcAAAAAADtsmvC6xi8AAAAAAFhXs+55fYck/znjawIAAAAAsGA2r3Syqp67ZOh+y4wlyaYk+yZ5TpJ/m1FtAAAAAAAsqBXD6yRvS9Ljz53k8PFrqW3tRK5O8tqZVAYAAAAAwMJaLbx+/vi9kpyQ5D1J3rvMvOuSfD3JP3f3N2ZXHgAAAAAAi2jF8Lq7/2Lb56p6XpL3dPfb170qAAAAAAAW2pof2NjdB61HcF1Vh1TV+VV1QVUds8z5Z1fVOePXx6rqvrOuAQAAAACAYVmtbciNVNVeSX4myb2S3LK7XzAxvn+Sf+vu/1rjtTYleVOSg5NsTXJWVZ3c3edNTPuPJAd295VVdWiS45M8ZNq6AQAAAADYdax553WSVNUvJLkoo8D5l3J9T+wkuUOSf07yrCku+eAkF3T3hd39vSQnZskDIbv7Y9195fjw40n2maZmAAAAAAB2PWsOr6vq4Ix2PX8uyZOTvHnyfHf/e5Jzkxwxxf33TvLlieOt47Ht+YUk/zjF9QEAAAAA2AVN0zbklUkuyaiFxzer6v7LzDknycOmuGYtM9bLTqw6KKPw+uHbOX9UkqOSZN99952iBAAAAAAAhmaatiFbkvxDd39zhTlbk9xximtuTXKXieN9kly8dFJV3SfJnyc5vLu/vtyFuvv47t7S3Vv22muvKUoAAAAAAGBopgmvb5rkP1eZc5sk101xzbOSHFBV+1fVTZM8I8nJkxOqat8kJyV5Tnd/boprAwAAAACwi5qmbchFSR64ypyHJDl/rRfs7mur6iVJTkuyKckJ3X1uVR09Pn9ckl9Pcvskf1JVSXJtd2+Zom4AAAAAAHYx04TX703yiqp6Wnf/7dKTVfX8JPdJ8ivTFNDdpyY5dcnYcROfX5DkBdNcEwAAAACAXds04fX/zqitx99U1VOT3DpJxjunH5HkKUk+n+SPZl0kAAAAAACLZc3hdXdfWVUHJnl7kqdNnHrj+P3DSZ7V3av1xQYAAAAAgBVNs/M63f2lJI+qqvskeVhGvaivSvLx7v7EOtQHAAAAAMACmiq83qa7z0lyzoxrAQAAAACAJDsYXk+qqj0z6nl9dZL3d/d1O10VAAAAAAAL7SZrnVhVv1hV/6eqbjcx9sAkn0nyriSnJvlYVd1y9mUCAAAAALBI1hxeJ3l6ku7uKybGfjfJbZO8NaPw+kFJjp5deQAAAAAALKJpwusDMtHnetwu5MAkb+nuF3T3E5OcleRZsy0RAAAAAIBFM014ffskl04c/9T4/d0TYx9OctedLQoAAAAAgMU2TXh9RZI9J44PTPL9JB+bGOskN59BXQAAAAAALLBpwuvPJHliVd2+qm6TUQ/ss7r7mxNz9kvy1RnWBwAAAADAApomvP7DJHdKsjXJl5PcMcmfbDtZVZuSPDzJp2dZIAAAAAAAi2fzWid298lVdXSSo8ZDf93dfzUx5bEZtQw5bYb1AQAAAACwgNYcXidJdx+f5PjtnDstyW1nURQAAAAAAIttmrYhAAAAAACwIdYcXlfV/avqRVV164mxW1bVX1TVN6rq4qp62fqUCQAAAADAIplm5/Urk/xKd181MfbbSZ4zvs7tk/xBVT1uhvUBAAAAALCApgmvtyQ5c9tBVe2R5HlJ/iXJjyTZP8nlSV46w/oAAAAAAFhA04TXP5LkyxPHW5LcKsmfdvd3uvviJO9Ncp8Z1gcAAAAAwAKaJrzuJJsnjh8+HvvgxNhlSfaaQV0AAAAAACywacLrLyV56MTx4Um2dveFE2N3TnLlLAoDAAAAAGBxTRNevzPJT1bVu6rqr5I8LMm7lsz58SRfmFVxAAAAAAAsps2rT/mB1yc5JMlTxsefSvIb205W1b2TPDDJb82sOgAAAAAAFtKaw+vu/naSn6qqHx8Pndfd35+YcnWSJyc5a4b1AQAAAACwgKZpG5Ik6e5/H7++v2T8oiR/n+RBM6oNAAAAAIAFNU3bkO2qqrsmeUGS5ye5U5JNs7guAAAAAACLaYfD66ralOTwJEcleWxGu7g7yftnUxoAAAAAAItq6vC6qn40o13WRya5w3j48iR/muQt3f3FmVUHAAAAAMBCWlN4XVWbM3oY41FJDspol/X3kpyU5D4WGXAAACAASURBVGeSvLe7f329igQAAAAAYLGsGF5X1QFJXpjkeUn2TFJJ/jXJ25K8o7uvqKrvb/8KAAAAAAAwvdV2Xp+fUR/rS5O8Pslbu/vcda8KAAAAAICFdpM1zOkkpyZ5l+AaAAAAAICNsFp4/WtJvpjk+Uk+WlXnVdUrqupO618aAAAAAACLasXwurt/s7vvluTQJO9Ocrckxyb5UlWdUlU/uwE1AgAAAACwYNbSNiTdfVp3PzXJXZK8KqPd2Icm+ZuM2orcr6oeuG5VAgAAAACwUNYUXm/T3Zd297HdffckByd5V5JrkmxJ8i9V9cmqevE61AkAAAAAwAKZKrye1N2nd/fTk+yT5BVJPpfkvkneOKPaAAAAAABYUDscXm/T3Zd39+91972SPDqjViIAAAAAALDDNs/yYt19ZpIzZ3lNAAAAAAAWz07vvAYAAAAAgFkTXgMAAAAAMDjCawAAAAAABkd4DQAAAADA4AivAQAAAAAYHOE1AAAAAACDI7wGAAAAAGBwhNcAAAAAAAyO8BoAAAAAgMERXgMAAAAAMDjCawAAAAAABkd4DQAAAADA4AivAQAAAAAYHOE1AAAAAACDI7wGAAAAAGBwhNcAAAAAAAyO8BoAAAAAgMERXgMAAAAAMDjCawAAAAAABkd4DQAAAADA4AivAQAAAAAYHOE1AAAAAACDI7wGAAAAAGBwhNcAAAAAAAyO8BoAAAAAgMERXgMAAAAAMDjCawAAAAAABkd4DQAAAADA4AivAQAAAAAYHOE1AAAAAACDI7wGAAAAAGBwhNcAAAAAAAyO8BoAAAAAgMGZe3hdVYdU1flVdUFVHbPM+XtW1T9X1Xer6v+bR40AAAAAAGyszfO8eVVtSvKmJAcn2ZrkrKo6ubvPm5h2RZKXJjliDiUCAAAAADAH8955/eAkF3T3hd39vSQnJjl8ckJ3X9rdZyW5Zh4FAgAAAACw8eYdXu+d5MsTx1vHYwAAAAAALLB5h9e1zFjv0IWqjqqqs6vq7Msuu2wnywIAAAAAYJ7mHV5vTXKXieN9kly8Ixfq7uO7e0t3b9lrr71mUhwAAAAAAPMx7/D6rCQHVNX+VXXTJM9IcvKcawIAAAAAYM42z/Pm3X1tVb0kyWlJNiU5obvPraqjx+ePq6o7Jjk7yQ8n+X5VvTzJvbv7m3MrHAAAAACAdTXX8DpJuvvUJKcuGTtu4vNXM2onAgAAAADAgph32xAAAAAAALgR4TUAAAAAAIMjvAYAAAAAYHCE1wAAAAAADI7wGgAAAACAwRFeAwAAAAAwOMJrAAAAAAAGR3gNAAAAAMDgbJ53AQAAzN9+x5wy7xI21EXHHjbvEgAAgFXYeQ0AAAAAwOAIrwEAAAAAGBzhNQAAAAAAgyO8BgAAAABgcITXAAAAAAAMjvAaAAAAAIDBEV4DAAAAADA4wmsAAAAAAAZHeA0AAAAAwOAIrwEAAAAAGBzhNQAAAAAAgyO8BgAAAABgcITXAAAAAAAMjvAaAAAAAIDBEV4DAAAAADA4wmsAAAAAAAZHeA0AAAAAwOAIrwEAAAAAGBzhNQAAAAAAgyO8BgAAAABgcITXAAAAAAAMjvAaAAAAAIDBEV4DAAAAADA4wmsAAAAAAAZHeA0AAAAAwOAIrwEAAAAAGBzhNQAAAAAAgyO8BgAAAABgcITXAAAAAAAMjvAaAAAAAIDBEV4DAAAAADA4wmsAAAAAAAZHeA0AAAAAwOAIrwEAAAAAGBzhNQAAAAAAgyO8BgAAAABgcITXAAAAAAAMjvAaAAAAAIDBEV4DAAAAADA4wmsAAAAAAAZHeA0AAAAAwOBsnncBwK5jv2NOmXcJG+qiYw+bdwkAAAAAC8vOawAAAAAABkd4DQAAAADA4GgbAgAArBttxwAA2FHCawDYhQiBAAAAWBTahgAAAAAAMDjCawAAAAAABkd4DQAAAADA4AivAQAAAAAYHOE1AAAAAACDI7wGAAAAAGBwhNcAAAAAAAyO8BoAAAAAgMERXgMAAAAAMDjCawAAAAAABkd4DQAAAADA4AivAQAAAAAYnM3zLgBgd7TfMafMu4QNddGxh827BAAAAGA3Y+c1AAAAAACDI7wGAAAAAGBwtA0BYO60WQEAAACWEl6z0ARmAAAAADBMcw+vq+qQJH+YZFOSP+/uY5ecr/H5xye5OsmR3f2vG14oAACM+QM4wO7Lv+MBhmOuPa+ralOSNyU5NMm9kzyzqu69ZNqhSQ4Yv45K8uYNLRIAAAAAgA03753XD05yQXdfmCRVdWKSw5OcNzHn8CRv7+5O8vGquk1V3am7L9n4cgEAANbHou32THZux+eirZe1mo7dxBvD7xaw3uYdXu+d5MsTx1uTPGQNc/ZOIrwGAAAAYJewaGG/P7pNxx9GllejDc1zunnV05L8dHe/YHz8nCQP7u5fmphzSpLf7u6PjI9PT/KK7v7EkmsdlVFbkSS5R5LzN+BH4Ib2THL5vIvYRVir6VivtbNW07Fea2etpmO91s5aTcd6rZ21mo71WjtrNR3rtXbWajrWa+2s1XSs18a7a3fvtdyJee+83prkLhPH+yS5eAfmpLuPT3L8rAtk7arq7O7eMu86dgXWajrWa+2s1XSs19pZq+lYr7WzVtOxXmtnraZjvdbOWk3Heq2dtZqO9Vo7azUd6zUsc31gY5KzkhxQVftX1U2TPCPJyUvmnJzkuTXy0CRX6XcNAAAAALB7m+vO6+6+tqpekuS0JJuSnNDd51bV0ePzxyU5Ncnjk1yQ5Ookz59XvQAAAAAAbIx5tw1Jd5+aUUA9OXbcxOdO8uKNrosdom3L2lmr6VivtbNW07Fea2etpmO91s5aTcd6rZ21mo71WjtrNR3rtXbWajrWa+2s1XSs14DM9YGNAAAAAACwnHn3vAa2o6pq3jWwe/K7BQAAAOwKhNesq6r6sarad9517KL2mHcBQ+Z3a6f43ZqB8YOGWSPrtbKqOmDeNexKrBewq5rcRGBDAcxOVd2pqm427zqA2RNesy5q5IeT/HGS/9vencfrOpbvH/8c2zwPUSoqRFE0En1TiVCZ1U8KmZOhaPiSEkKJDIVQGUOkRGZSRKEoDZq+lUrKPMu8j98f57Xsp9Ue1trT/az9HO/Xy2uv9ax77a59dT/3c9/ndV7n+dKuxzPWSHo5cIqk2STlfdoj59a0ybk1fUh6LfDe9nXmcQoyX5PWrmnzAhdKemPX4+l3ma8JJD2v6zGMFbnuRJ+Zf+gL2875+Z8kdd6XK8YeSe8CjgQW6nosgyLXrpiZcrLFdCdJLg8BVwMrtddzvo3cQsC8tp+xPb7rwfSLnFvTRc6t6WM1YEuAzOOIZL4moV3T/k1d0zI3U5D5ejaAvzjwU0nv73o8/U7SOsCpkj4maZWuxzOWSHqppNe1c07ttWQKT4MWYLtQ0iGS9oP6XMy9bGlJFkdJekXXYxmLJC0n6f91PY6ZTdLbgYOAk2zfJWnOXKumP0lvk7SNpPfBs9euzPMoSFpK0pe6HsdYlA/JmBGW7Pn6VipokYDF6PwUWEDS67oeSJ/JuTXtcm5NH98C7ul6EGNI5msiJC3S8+1vgO3a67N1M6L+lvl6lmzfDWwLfFrSBl0PqF9JWhc4GLgZWApYtdsRjR2SNgPOB44AvgbsLGmelimcYMVUkLQScBRwKHARsKqkCyEB7B4fAHYBdpP0+q4HMwY9FzhL0pZdD2RmkfQ24BxgS9uXS1oGOAxYvNuRzVraPJ9IfZb+P0lXS5o/nwmjdgfwFklf7XogY0225MR00y5aiwOXSroeeAL4HvACSfO2TKmYBElvoj4MHgJ+AvwFmKfTQfWRlmV2STu3niTn1ojl3Jo+JL0VmA/4E/B/wMskvdH2TzodWJ/KfE1eyyrbW9I8wCXUPdkzALafkTQuC3MTSFoR2EfS3AzwfLUdSEP/zvHA34BzJW1j+4wOh9Z3JK0KnAesZfsnkrYH3iPpPuAh2xd1O8L+paoZuyWwg+3rJL2XCvx/QtKhth/vdoRj1qPAtT3n3jWSrpB0ge0NBuEaNgInA8sAfwe2adf2n3Y8pr4naWngubZ/3O6/Lmhzd1rHQ5sZZgMeARZp167Tge/avqvbYc1y1gG+ZvtzAJJOBb4laTPbjw3KfdjUkrQksLntw9v9yeWSTrS9fddjGyuyuhvT07j2IbEulaXxAPA26mZ30y4HNkasBKwAfKb9935gW0nP7XRUfUDVmPFh4F1Urev7yLk1Gjm3po9XAjtT5+DXgUWB5SDbqCch8zV5t1Pvxx8BCwMbAW+X9EFIFl4vVW3nPwP7UeVCBna+bBtA0lZUZtnu7b8jhrbxDrreEhfAVcDK7fNuF+AfwAuBQyRt0dEQxwIBC1BzBfAdKlN4IeoeIqaOgOe3wAUAtt9OnbZ7dTesbklauOee9DZqYXI54NdUADsZ2FP2VuBiSf9j+0fUZ+TRkrbudlgzjqTVJC1j+wpga+A4atHjWNuH9Rz38pYoENPmRmr37nwAtj9A7aq8pH2fwPXkzU1lrO9j+0lqMWBZSSd2PK4xQ+0eOGKaSFoLeB/wB+BG2z/o+dmqwDeBg22f1NEQ+5akV1KZxPfbvrtti36S2ja3JHAncJbtOzscZmckvRM4ENjE9t+H/Szn1mTk3Jo+JL0UuB94uN1sIGkNagFlc2A729e3jMiB/1DNfE1e23b5OuAp20f1vL4o8ApgT+AK28d1NMS+Imk9Ksi/cW8WlaTnACsyIPPVyg1sbvvT7fs9gQVsf7Z9vz61bXpH26d3N9L+0oJen6ASK/ayfUILbG8HLGd7704H2IeGrs2tbMgHgANt/0zSnMAWwJuTKTZykl4FLA1cZ/tOVZ36LwJr2v59O+YdwBts79/dSLsh6YXAL4DfUwuU1wCLAR9vX69ILaKclgzsyWuLuR8HtrV9bcvAPh/YdVb7XGjPh0cAnwXObjuw3gZ8FfiE7e+247YBNqA+G+/rarxjlaox9t9t/0PSa6g5P8z2xT3HnAucbPuCrsbZ74ay0iW9DDgauMb2ge1z9XLgj7Z36naU/W+Wz1CJGa/dcB0L3AAsCGzYbkSQNFu70dgKOFwDVH9rJNoH7+XUw/d1qiYu/7b9qO2vUHP6YmC7VjZjoKiaLB0K7Gn778OzNXNuTVrOrelDVUv2XOAE4Nj20Inta2wfQN2AnChpjUEMxA6X+Zq89nl5HLV7ZFtJRwz9rD1U/Qw4Hnh3K3Ew0FpA9lPAvsO3/9q+l8oCGpT5mhdYQdIB7fvbgeWHss1tXwhcCnxsKCtqEElaU9IxqoZSK9q+kQoUXg0sAs9mr78AWGIQsvVHStKGkr4MfEVV1ugS4Epge0mr2n7S9qnAS5VmeiMiaUPgAmrh9iRVg8bvAp8GfiDpf9qhSwOrSZprkHYmqfoV3Ad8n9ohuAPwYWrB6WHgX1SN3XuAHSQt2NFQxwTbJwBfAk6W9CbbV1GB29NaEHeWIOktwOeArW2faXuohNgPgA8Cn5G0UXuO3BXYL4Hr0WvzdybwfADbv6DuYQ+TtL6khdqht1P3KDERbUF4fIuL/YHaLfcmSZ/pycB+jaRTOh3oGJDM65gmkhYDzgCOtH2pqpbPmcBBti9vxwytNK0K3Gf7Tx0OuS+0G9P5gW9QW5uuUNUT3JkK+nzb9lPt2PcArwUOtX1/V2Oe2VqW8JnA72x/tAVYd6QyOu+1/a2eY3NuNTm3pp+WCft94GPA74DXUxkex9o+see4j1LZaGsMch3QzNfkSXoB1bjyoPZ5+RyqpMH2vdlkqq2tqwH/Z/sfnQy2Y+06thAVsDjc9l7t/mI16vp2MXBPu7cYiPmSNDvwGmpB8tfAIVQ9539R1/uXUdfzQ2bleZgcVXPGQ6hg4cuAP1LNGp+h5ubDVIbn36jr1Ha2f9vNaPuLqonzWVTQcCWqJNveVGOpNanM9dOoWvMfB9Z2NQ2NSWjXsSOBy2xfImlN4M1Uf6BPABsD7wX+DaxM7az4TVfjndlUfQy2prKt5wb2Bd5EZfvv0P68BNgGeDnwhO2/dDLYPtWzS2IlqlHjT1y1hz9InWMfcNXAXhOYY+jZfKxTlUJZxvb+bUHj9cCGwI+phcqXU6WOnqJ6Hvyus8GOUS2L/WhgN9s/lDSf7Ufbz9ajPgduAUyV9Vy/BWajR8979M3AG6gKBT9U1ag/juqBcFDLwH6t7es7HXCfS/A6ppmk1YC/Ane3LTufo7aXHN/tyPrT0EWsfX00VWrleNtPt+zYvegJ/rfj5rf9SDcj7o6kjYF3ULVOt6bqLT4NLA9cavtEpTnEREn6EtUkL+fWVGo3El8GPmv7n+21Nagtc4fY/k7PsQvbfqCbkfaHFlw7hszXRLVs2NfbvlrSHLafknQOcIztq7seXz9qmeonAwdRgZ6fUcGfnwJfsv3X7kY34/XeL/S8NlQG43oqw+5zVKD/FcCHbN8y0wfaByS9HPgt8FbbP2qL2gcBOw2dJy1AeyjwKqr0RQLXjaR3A5vZ3qJ9vyUVWD2KWmRbn9rp9gS1ZfwXHQ11TFE1NLvP9p7t+5WBTYAnbX++LcqNBxj63BwEkpankp9OtX1Me20eKpgzu+0tVSXI5rd9c4dD7Xvt/v6LwA+ohdzdXQ1qd6Cuge+xfU07dkyXa1OVKX0dlci0CrWQvQPVrHFh6r10pash3luAOxJQnTqSDgNeY3ttSS+myrfNSZX3Oal9vSL1/8c5medJa8H+I6nP048Dp1ILAwtTyQc/tL1fdyMcOxK8jqk2qQ9ASZ+lVnc/2R48/50H8wkkzekJdWA3py76xw9lE6i22X+GerAayFrEwwL8G1Hba861/ZUWUNwRWND257scZz+SNHsLVm9JNcz7as6t0Wnbup5pX58ILGl73Z6fb0plon0SeLzN95h+IJhWPTtsvg4slfmauOGLRW0B81LbF6m2j/8p783Sc06tRz2gftL2FyTNT2WwX2b7S92OcsYZ9jm4JVUDdjwV3HktsAfwM9tHtGMGdiFSVYfzEaqB5cO2t2qvX0plpt9E7Qa5igpc32v7b92Mtr8Mfd5JWobKgD1qKDDdzrtPAO+1/TtJcwDjhz4fY+LafSq2n2zZdV8EzrP9jfbzdagAxns9gKUMJC1HJaN8yvY57bzawfZx7fp+HBUY22IoOWVQ7xmmRFVP/WvUTomVqd0RN1AJA9e0DOw/uMqHjGltZ82hVEb+L6nF25cAtwLfsH2jpNWZ0Cfp4a7GOpb1JoVJOoYqsfViKpHgLiqBbD6qnNvTnQ10jFCV0j2G+ix9EbUL+kYqwezzwPOAxW3/rLNBjiGp8xZTbSLZQHO0L+8AbpO0NrVlPA8IjaS3A2dI+lT7+kJgCWAnScu2D4wzgGupLXQDqW2vUfv6fKpe2Qnt+yeBBYAXSRo3dNygk7SKpEV6biQuom44dsy5NXLtfbm/pL0BXE2pnpB0Zs9hN1LNg8YNzfegPlRJeqWkJYZudG3vADwu6YyewzJfzVBwUVXnE+paNkfLejwRmG1SvztoWuB6nO1Lqe3BX2jfP0IFIWdZ7d85FLjeHvhf6t5qGyrA+DcqILa2pE+1X3u0g6F2rmUdngG8miqp8oykcyQdStW4/gNVQuR44HDglgSuS/u827h9exe1ALBBe9jG1eDtPGrnG7afSuB68iRtQvV9+EZ7794GnA2soSp1QNv99iiVvDJQ2mffJlTm7A/ay+dRC3JDn5E7U6UILmi/k8D1pP2WSuhZlnrmfim1W/UMSW+1fYLtq8b6s1Jb8DmXCpje3M6HPalSOx9x9TaACmY/Tp0/MRV6AteL2d6NWgA+3fYxrpKdPwaWocpxxUT0vt9s304lG8xFBatXppqK7tpevz2B65FL8DpGRdKr27bL3teG3qBD59PfqVXP/al6gn+daQPsY23F+HDqZmx+qgbXo9SH7+LURezjbZvX24EnuxprF4afWy2APXv79i89mbDbUFtZv2R7fG5on72puwG4RNLCAK4a1h+lAtg7M8Dn1ki1nSJHUjXcdpB0UPvRFsD8kr7ftrGuDSxJ3YgMLFVzxh8AX21bCodsCSwo6fLM13/q+bwcurb9H5WBtyvw7kHaNj5CQ/P1D3g2oL0N8H7gsq4GNSNJehOwjao8CFSt4U/YPgt4G7WjZk/bN1FN306GwVwQUm0L/xKwre1zbN8K7EaVtvgQVVf/ENu7U1vMD7f9RHcj7h/tnvTLwN3wbNDwC1S9650kvaEdej95XhwRSStQAcQvUsGJ3anz8FdUP4jNVM1EP0QttgxcHd52L38eVV/9c5JupGrA7thz2NPATlTN9YG8tk3K0D2EpKUlrdAWlH5JvW+vcZVj+x5VzvOeod8by3PYFigPAa4BdpX0vPaj8bYfa8csKGk76n7qk4O6C2l6aTsBDwewvSuVOTzkuVQcY/4OhjYmtBjGKpLeK2mBtmC+ALX79DHgn8BPgAvc+lDFyORmJEZM0jupGj0vlDRve22oCP1qVOfZuaiH8kWowPWvuxtx/5D0XCqAuIft04AfAq9VNcxbllo1/wG1LXhN4J22/9XVeGe2yZxbT7dz63BJ80h6LfUg8H7bv+9wyH2jzdf/UFsGbwDOUzW7xPY9VIOq6xnQc2ukJC1BLbh9tAWJdgbmbgHaJ21vSAW1d6fq6+3gAW1WpTIf1dH9KOp6dthQANv2w7Y3oAKzH2bA5qvNz0Tvr4ZuaKkFOKiHy+WoWsUD06ir1xTm65k2X++XtIBqS/BuzKKfAaoSKUdTwZsF28t/BpaRtGALTHwEWFlVguznA77g8TrgaNs3qO3+a0GLDwLfBU7sef0B27d1N9T+0d5TxwH7uOqDL9TuU2+n7kfnBfaQ9D3qs/CMSf9t0WMeqsbuVbavBN5HJQys3TIWd6WyFZcENvaANla1/Udqd+DtVIbs2UM/awtSh1GByTxDDtPuITYAzgfOlbRXe/a+mfpcOIKqc73PrHBPoSox8z/ArrbXo0qEfEfS4kO7dFs2/zpU08AP5LyZLv4OvETSEmo9WgAk7UGVv9jLKcsySaoGqadSn6fHq/r//Ba4R9L3qfuTo2eF9+jMlprXMSLtTXg09YB9zbCfrUzVn9zT9iXttefavmvmj7R/SXq+7X+1B4TLgOuo7YSvB85vQW0kzTVImUEjPLf2aFvHB7LR25SoalXebvsJVY3mZagGLfcMO25u2493MsgxQNILbd/eAtm/A86k6pP9FTjY9h3tuHlt/7u7kfYHSc+ngmxzA9tTjVv2atmPvccN1HzpPzuyr0t1u7/J9oOSXkEtVG5l+3JJy1J9IQZ2QWmE8/V+29+XtBDVzOveDoc8Q7SgzYnUv/WGntcPpXYtnEvV+VyLWsRdf1Cv5z2JE0cDD9r+9NBrPce8jMokfsytCWEUSesDu1BBrsfan09S773v2v5m+xx8NfBb23/vbLBjiKQFqGzFs6ks2CclrUjdx37R9ildjq/ftHvXzYClqXmbGzgdOMD2eV2Ord/0XPPGUXN1ArXD5HjgcuDb1EL4+sAltsf8zqSWcb0/9Tzz157Xj6N2IG06lBShqjM/j+0HOxjqLEPSTtTi5dxUeYu9h67/bY4/TzVZ/VV3o+xPPe/Ruai67L+w/TNJB1A77M+mypitRi1yXt/hcMesBK9jiiTNDWwELGT7q5KeQ2W7rA7cSW3/eqntazWhWVzqkzUTeaBaFHiD7UtaRtAOwKK2D+5skB0Z5bn1bBO9+G+951kLYC9r+60tQ2NuV1OcvC8no+fG4/nUe/S8lmF8Dq17ecdD7FuSlqKuZStSZVZeDzxk+7eDdN61h/EvUpmfawH7Ag9SNQLPo7LuZPu6zgbZRzJfE7SMJrunCaWkg6nsTajFtJWB5wA75+ERJL0N2IdaNLtpKIPfVV5mF6rR52NOE1Tg2SzGh4F7gTWoTOBXAEcAl7SvP0jtQLp1Un9PTCDp1cCiwJ22b5H0Eaop6BFUA97HVSXJNqHet+M7HO5MpwkNQcdN7N8uaXkq4Lo2rWRNez4amPuGkWqLTutSNfw/4mqiuhKVqX41VRbpyXbsmJ6/tgvp08BBti/tzf5tPz8OeDlV8zrJctNBSw54M9WjZkUqAPsn4I/UM/lVVLLdmD2vZjRJG1KZ6fMB37F9cNsZsC+VDHWq7au7HONYN/uUD4lB1m4q3kt1mX2FpJ9Tq24PURl32wDL2/4ogAe8GdfEDAtcj3N1Fr+k/ewpSQsCS03qxm5WNRXnVgLXk9GCrnO46t9tL+lwSXdQWVXrDR3T7Sj729D8tCzY89pD16OSriTNXybL9m1t0WQTamvcorRmVAN23j1BZe0fTwVdX9Gu8Z8C3glcZPsnMPYfLqeTgZ+vnn/XslTgfuj1d1Cfj+8BvkHVSDweeGpoF0hwA9WEeHNJuOqAI2lzarvu9xK4Li0YdARVXmBJ4N1UzeuX2j6xHXM/VWt4lnufzQgtOeBAqrTPI5K+Z/tLqtINe1BlHS6lgkGLMKGG/0CQtBhV1/oA1662/3rOsf1HSRcCC1G9bC5rr+cc7NEy+D9GlQtZFDhQ0v/a/rWkvah+LedQwcYxPX8tyetiKrP60rZD7TOS9gQebs85H5L0DeAUSesP0vPzjCDpjcCGtvfuec1UBvax1OLSjWP5vJrRJL0c2Jb6TFgM2EfSbbZPk/RZ4ADgvi7HOCtIzeuYkkWpuos/owKKn6QCEwfZ3hxYFXhl2yoXjSbR2LJlA8059L2kbelpPtjFWDuUc2sqTOrcGvqy5+UbgDmpreV/mFnjG8uG5lGtUWjLFtoG2Jq6kY4ePfM1J0DbWjgfVffzra4GJQOhJ+PzduAr1HVtDUmvtP0QVRppdmALSau2Ywf2ISDzNUHPv+s84A2q3g5QDd62s30jFbx+wPZtCVxP4Co38zXgEeAISV9UNdo9gCrNh/kNZQAAH+FJREFUM5A1hYeTtBa1w2EnKqh/LRW4/hF1bg1ZG3g+MJDlaEZD1VD1EGBL25tRzbfWAWhJF7+javB+n8pwP3iQkjDa/cGcVKb/F1SlE8drIv0NXDWwDxkKXLdMxYEmaTFJL2xfv5pK7rnI9lHAXsBvqIWBl7oaNm5o+0/djXj6aUleG1AB65Wp5qe/sH1fS/oaun/YivqMHLTn52nW89w4ZBFqN86z9/TApcC9bZfXkfk8/U+SlpL0thbPWZIqv/W07cttn0ktNn1Y0o62x9ve16nHPs0SvI7JctXjORd4AdW9+EjbH7H9i3bI+u3Pp7sYXz/SlBtbflFVLmM1qpnZlrYHseN4zq1RGuG5Na+kxantl2+xfUuHQ+477SZjSs303i9pUUlrUw+ds2RzuJEY4Xxt0c67RaimoOt7gJqQDC1Mtq83pQL4JwOnAPtLWq7d9B8L3E/VUB9Yma9Jup4ql/JeSau27LInJW1BBcFm+dIpU6MtgBxGZes/QvUS2XCQrkGTI2lhqr71L21f2wL+51JlnewJZQY+DHwG2DELJCPyIPD1nvPsO9QuwmUBXGXGPkrd57/D9s3dDHPmk/RS6t++IFWb+W/U4tJEA9iqXW6PaUJz1YEJ8k+MpBWoHbqvac+LdwBzAKtIWqx9Pn6N+mw8VNI81C7LWYbti6iSUDcDV9g+StK4nkSwoQB2rlVTYWjRXNIGkt4OPEAtuDH0mUD1QFi7BbMHatfIlLQs60upUiALt/fktcDckt6l6vVzGbAf1fz4hZN6lorRSc3r+C9t68iLbJ/V89rqwMbUg8GpVEBxXWA3qrNvHhKYquaDi9i+f+aPtBs5t6beVJxbA9X4c6Q0uuZwz6U63t8zmb9yljbC+drS9hXtmIFtCirpQ8DuwLts39qypral6hTv56pPmdr9Tebrv7U52B54G/ALKiDxbmBj27/tcmwx9qhq5L6Wyv7dG7jZ9mckfYHKsN6mZyFpa2pbeM6zyWj3W68DzqJK+DzdgjtzA9+l7h/uaBmxs0Qm7GioylucRTUn+5bt/5P0Yirrfxmqnvq/1EqIaEJN7IWpRoR7Dfg913JU88Wv2D6hZ54WpzKQ/wAcavu+lu05j+3/63LMM1ILrB5N9aF5UK23VtfjGqt6Ep6G/jyO6i3yYmqR/BQqufUHVAma3w1SnGIkVD1+LgGOsH2SesohSdoReBN1Dbza9r/bgtPAXtOmtwSv47+ouvseTd1AnNPz+qpUHeKLqK7k+wC7J7hYlOaDU5Rza+qM8twaqNrpo6E0hxuV0czX8BvizgbdEUlLA2dQpQr+3PP6UsCHqBqz21NbCgdufobLfE1ay6J7LfB24Hbgqlk5OBEzRgtcHwwcaPvbkpagsjUXAMYD67TAa4JBoyDpPVS5v+8Cl9m+u2XUmcpo3xLYkErK2HmQAj+SnkeVWPuy7VOH/WwogP1i6hng9qFzT9Uo7jzgM8OTMwZN2wExj+0vqErYLUs1JrwduIXapXQH8FlXeY1Znqr/w1HA6oPyb54Reu/P2yLTfUOZ65JeQC2OXEx9PiwKnGn7rx0Nt29JWgN4j+0Pq0ocrUnds80HfBbYnHpm/wZwcZ7Jp680bIz/YvsiSeOpGmXjbJ/dLng/VdXdep/t90v6qe0Hp/T3DQKl+eCI5Nwavak4t/IhOWkD3xxulEY8X0MGZc4mEqx/ilpI+kv7+Ry2n6IW474EPNO+H0iZr5Gz/Ri1QPTjrscSY1MLVH8M2MH2z9oW5jtUTaP2A64CZmtvxwSuR2Do2mX7HFUjs42pObxoKKtO0qNUDf+VqIW5gQlcN3NRO7NOVc8WeVe9179JOoValDxK0la2H28Z1+cC+9q+tpth95WnqNJRJ1G1+xcHlqd24XyLWtw9vb0+EIFc25e03Q3fV9Wa96Dca05PPYHr3aj34d/aZ8X6tv8p6UfA3LaPyKLmZD0C7CjpauB9VCLP3O1nP7P92javf8sz+fSX2isxUbYvobYY7i1p854PiYeAx1rmcIKLE6T54Ajl3Bq1nFvTSGkONyqZr8kbtrDxPABXvbt5qUA/rqZC21K1eO8f5C2Dma+Ime4JKgj2eNu59b+SrqJ2tc1NBV4PABbubIRjyPDFbNvfpsrcrQe8q2UcQ/VwWQvY3IPZb2RxqkbuS1rAerwnbKd/ERXcPhb4dAtcz0E1vfxsAtfPOg34JdXjYEkqG3YtqsTWa9uCyKYesEbsts8H3tzOqYG535zeWvB/W+Cdtjem7u8vaBnED1Fl26ACsjFM+yz4BTWHO1OB7M8B77W9IXCrpMVtH+E0Z5whknkdk2T7YknPAF9VNd94gtoKse2gZg5Piu3rW8BnPar54E+G3Yil+WCPnFsjl3Nr2rQbjd7mcL+htl0+h2oO90lXTcZjgR0YnOZwE5X5mrxh2y53B3aQ9ENqy/P/A74j6ULg11TZh+08ofnNwMl8RXTiAeAyquzTK6ia16dTO2k2oRrorUaSmEak5xq2E7A08Di1sHsysBUwXtKZwEHAvR6gMj+SXkYFcva1fZOkc4GNJH3DVZd5aFfNWlRw/5Ce+3xRpULu6mb0/cfVY+RDkla0/dueXUtrAIu3RJVHOx5mJ2w/0vUYxpq2W/JRV1355wD3UosjDwHY3r29Zz9IlXK7or2eBYKJGJoX22dJurD3nJT0FqrMz3zA3R0NcZaXmtcxRZJeQwUWnwDOsv27jofUF5Tmg9Ms59bE5dya/pTmcKOS+Zo8Vf3+zakssrWojOIrqbr976Pqn94wSEGMycl8RcxckuanylcsBZzv1sBZ0qnU/dYlXY5vrGmLbxsB+wNHUmWz9pe0MbUF/yzbZ3Q4xJlO0suBb1LlLI6z/YCk9zGh4ex3WzmCNwAnAR+x/f32uynNNgItO/1NwBHAPnnfxki1UivrAEtQvQ4Wod6rRwOH276wHbcvcLft47sa61imaqb6RuBA4JO2L+p4SLO0ZF7HFLXtEb/oehx9aBHgc5KecWs+6Gpc9gxVh3glqn7n1iS4OFE5tyYp59Z0pGoOtxWwge1boUpitIf4DwGflLQ9yV4HMl9TImkFagHpCNs3SPoLsCmwNjCf7W90OsA+k/mKmPlaRth17T/g2WaDrwSySDR6S1I74Hansuo+J2lO2+dJeozapTQwJC0GnAgcafs0Tahx/U3q/vQNVI3iy6lr/T5DgWtIZqeklwArApd6EnVxVc173wQcSmWoX5Kgf4yEpBe2+/a/UyWiFgPWa4knRwEHtUWlOajr2hYdDnesW4zKXP9UAtczXjKvI6aBqgPyF4CDPaH5oNvWwre4mg8u5NRwjlHKuTX1euZq6M8lqUyDTdv3c7hq7A7VqXzGA1xjN/M1eRN7WJS0F7AHlZn+c0mLAB+gMlw+P8jvy8xXRH+R9Hxq58OOVD3mgQq0jtawckeLtvIXp1Nbwm+n5vAZSTsDd9k+t8vxdqFl9h8F/G+bnx2pgPWKVLmaq6mSNY8AT9n+dQKvpZVa+TZV+/v8KRw7H7CE7T9LEiTwH5Mn6Z1Uw95PAL+nsq3vocqznWT7fkmrUO/PFwLf9oDVUB8NSStT17BJ7g6XtIhbg15J4ya1IBXTLpnXEdNgaBUcOFgSts9uP0rzwZgmObemzrCHo+cBd9j+h6Sh5nAf9ITmcGsCO3iAa+xmviZvWBBjM+D5wM+puXkAOEnS9q5an6cADPL7MvMV0ZceoLKtN7L9p64H08+GXcN2o5paHkQFak8GrmyB622AjwAbdDXWLqgaL74YuJbKONxT0kbAn4CbgT8DHwf+bPtHvb+boCtIWhE4DjjK9vntPn854P8mMT+P2f4zZP5iyiStSzUQ3AP4ZbtWbUqV/NsG+DCVif0ocF2C1pPW3pvzUbttTpzMcbO1BYFx7mlSGzNGgtcR08hpPhgzSM6t0Rn20JnmcFOQ+Zqynvn5MDUn51ABjH1sn9C2Sp8raSPbN3c41L6Q+YroP7Yfo+rLxxT0XMN2ArYE3t1+dAuwC3C0pDdTWdibDcpiQAvkLADcADxM3YvuRpUcOA84BnjA9pOSlgNeTjWGi6YlBXwHuMX2iZJmo3o/fNP2Hydy/Gwt+LgQldV+RQLYMSmqGtc7UTt2r5I0f9sh8WrgGuAC4F2SrgQWB97V3Wj7X3uvPdJKr7wRuB4mvC97v5a0MNVo9cuupqsxgyR4HTEd2L5M1bRlc2BOYOvJbS+JGKmcWyPX89D5LmAV6iZuLWATYEGqweVQc7iTPODN4TJfkzYssP884LW23yRpB+DvwHmSZqcyip+mdW4fVJmviBjLhl3D5qIanR0MPNkysF8F/ARYlQriYvvejoY707W5eajtmFkF+DxwjO2v9x6nai6+OvCVmT7IPtbKr/1b0seAfVV9Q9YGbrJ9Qs9x42yPlzS77adb4Poy4GMJXMcUPA3cB9yrqqn+UWqXxKrUtevD1CLcesC1tm/rZpj9T9KqwH7AeKrkiiUtbvtuQO2Y3sWl86m69Alcz2CpeR0REbMMVXO4a6jmcJ9TdYHelKrtdp3tb3Y6wD6T+fpvw4IY76aayn6QanQ2Dnhne7jcHvix7d93N9ruZb4iYiwbdg1b3vYfJW0H7Ar8i8og/geVwfhh2090N9qZrwVen2pfrwtsDFxClSH4pu1zJC1FBckOBj5u+8KuxttvJL0c2JcKQN8haS3gFOBW22/uOe41VM3wc1oG+0LAucB+tq/tYOgxxkjahQn9RL4PXOBqKnsBcLPtfTsdYB8bVkYRSa+gSvqsTtUP/yp1jfsd8FHbd7aM6++Q9+hMM27Kh0RERPSntpX1WS0r/TBgd0mvbavk3wL+AryqPQwMrMzX5ElaoieI8XYqG/0pKnt4XuCzLRD7fiqr5fHOBtsHMl8RMdb1XMP2AE5sn3vfBrYHtrT9KeB+YAUGbNdyC7yeKOmt7aXLgYWA1YDTgK0lrU8F918C7Gb7wuH3GoNK1ZzxTKr3w+MAtq8EtgUWkLR1O+6NwBnAP1rgegGqpEiCYjFJE7mn/wrwTmBD29sDQ4tIVwBP5H05cUOBa0lvl7SXpP2ouv3nAadT5ZI+TjU9/nQLXM8NnA3sn/fozJPM64iIGJOGZUv1Noe7BXgv8CFgqDncwgC2H+hqvF3LfE1eK5+yH1UHcClqq+6nW63mFahAxrLUNsLlgPfZ/k1X4+1a5isiZhWStqQac61v+25JLwAetv2wqmHxx4D3Dto1rNX3voraUXM8dT3/PrAFcCrwFmBn4Au2L+lomH1J0nxU8PCbtr/aUxJkiZaB/RbgC8B1tFIsti9qv7sIsIztmzr7B8SYoarRvxqVPPBN21f1/GxL6vr1ftu/7WaE/U/S24AvU8151wWWBN5l+z5J51AN6x8c9jtL27515o92cA3U6nFERMw6egKxaQ43ApmvSZO0HrA3VbPubkmPAl8D9pF0nu3fSTqEqgW+BPBX2//scMidynxFxCxmHPV5uHarF/sB4AJJZwPPAO8exJJHtn/UAtiXAf+kGpedBbyQygw+h5q7ezobZB9qJdieAm4Crm09H3aT9CrgHZIOBU4CPkNldu7UE7ie3fb97XcjJkvSNsAOVGmaZYHvStrC9qWSPgVsBmyVwPV/Gl4mhKpBf1Kr4/91SccC50taE5gHWFbSL1qG9jjb4xO4nvkSvI6IiDFlWAZxmsNNQeZr8iQtClwMbNpu9pelHgI+St0nnSvpPS34eg9VUmVgZb4iYlYh6X3UDqRfAXsALwCOpnYifYDKvj6tuxF2z/a1kjalMhJXppqTvQNYqDUs+5btpzsdZB9ppVaOAQ6gSqx8mAqM/YbKYr+IqqH7Z9vnS1rB9r1D92qZy5icYff0cwNzAV+xfVl77Z/AQZJ+Qp1rp9r+R2cD7kNt3l4F3NBK+8wO3A3MP3SM7V1bxvU8wCZDdf/bz8bP5CFHk+B1RESMGcNu2oaaw90l6WIq+2dd/2dzuK91ONzOZb6mrG0J3AA4UNJfqAf0C9rrewP7A1dIepvtO7scaz/IfEXELGR5Ksi4pu1tJM1j+zFJ76Sazj7W7fD6g+3LJH2cCvKvZvunkuZoP0uwtWmBsNOpJtjXSPoVsAa1QHI6MN7245JWAl7cfu0+mLA7LmJyeu7pd6KayN5PnUuntJ+fJ2ljYI5B20U5CosAq6n6HKxMlT+6DjhB0q+pRablgZdRC1CPdDTOGCbB64iIGBOG6gS2r4eaww1lD69Klb/obQ53ZWeD7QOZr5GzfZGkZ4CbqXk5sqc+5f7U9t95Oh1kH8l8RcRYMnyLuKS5bT9ue39Jj1MLbpvY/r2kDwAfAT5g+++dDbrP9Fz3/yjp5a20RTQt4/pCYAHbZwK0GrkXDjvuTVTptp3aMQlax6hIWp1qzLhJK2Pxe0lfoRbi1gFWInG+/yJpGWr36bclCXg3lZl+D3CPpH2BXYGNqczsTyVrvb+kYWNERPQ9pTncqGS+pk4L8h8NvMH2g632ZLLKJiHzFRFjgaS5bD/Rvl4XWI9qkHdXe+3TwKbtv2cAbN/W0XD7Wru/eLS3Kdygk/R86j7rAOANwOpUnfQ7hxZOJC0F/E875qNDNa4jRqOVbvsilYSyle1fSJqfqkX/T2AFYGfbt3Q4zL7TFpfOBk6jyvrMB2xONWZ8Cjiy3ce+ErgLWND2nyZSGzs6lOB1RET0NVVzuE8BB7cau/MCnwbeD6zaHg4WI83hgMzXtJL0DqoUxuq27+t6PP0u8xUR/UzSOlQN65uBnwI3AGe0r49xNZ1dEvgetT18TdvPdDXesSJBndJKhawN/Mb21e2144FXUL0h7m6vzQW8B/hbKymS+YtRaQtHN1GB172pniLn2v5D610DMK/tgepdMyXt+n4+FaA+XdJsQ9d4SW8FNqIC1jcBawEH2k6pkD6U4HVERPStlmFwD/UAcN6w5nB7U1ks70nwtWS+pg9JG1GZ66+ndvXmZmkyMl8R0Y/aYu4BVLbdc4EXUY0ZF6CaFN8MfJXKlH0ZcFK2icdISVoeOBf4ou1ThgXFjqPqpm/SyhIk4B+jMqxvzVzAgVQ5i62o69mOVLb1+bZ/39lA+1zLpt7Z9m7t+42pzPWFgS8BLwQ2BDYBdrV94aT+ruhWgtcREdHXWqbBgcA2TGgOd6SkcVRzuM2ANIdrMl/Th6T5k3kxcpmviOgnPYu5G9m+oGXffQ44wfaP2w6kzwNzAm8C3pUAUIyUpBWpDP4DWrLAOGAp23/rOeYY4I1Uc+y7OxpqzCLaNWtXYBVgW+B5wJ7Ab4CjU7Zt4iS9hmpo+VlgZ+BBqtHlc6iFzHfafkrSUrZvyyJT/0rwOiIi+l7LnrqYag53SE9zuHFUiYxv2P5rp4PsI5mviIgYdG0x91CqrNFDki4G5gV+TW0Rvxr4N/DMUHZsxEi0xos/sj2ufX8JcIXtI4ZlYH8VONn2dR0ON8YQSa8D5rB9vaQtgJVs79N+tijwMWB5KhD7PODeJKRMnqRtqXr0cwKHAb9vteh/AHzC9k2dDjBGJMHriIgYE9IcbnQyXxERMehaXf4vA5dSzcxOABalttzfDOxp++HuRhhjVTu3jgX+DPzY9v49P3s2gB0xUu2cOgjY1vavWvm/i4HTbR/YjnkLtbPyFmBr2+M7G3Cf6mmUuiLwMPDY8AVKSatRZaM2sf3nLsYZo5PgdUREjBlpDjc6ma+IiBh0ktYGLgeeP5Sh2HYiLZqM65gWktaiFkbmbMGyuWw/0fW4Yuxpuyb3pUrRXC7pucBDVH3ri4GzbR8o6T3Aq4Fj08Nm0tp8Hgb8jMq6/l/bF0l6EbAS8AVg79S4HjsSvI6IiDElzeFGJ/MVERGDri3mfpH0fIjpTNI7qcZvq9u+JzvdYrQm0XD9VGA/21dKWho4Hfg7sBrwjtTon7Q2n9+ndtZcLWl9aj43AG6j6l9/uwWzU+N6jEjwOiIixpw0hxudzFdERAy63sXcbLWP6UnSusBpwMtt39/1eGLsGdZw/XDgUtuHD5WgkTQ/1WTwqWRcT1orB/IwsAfwMdsPtdf3AJ5n+5OSFrb9QALXY8u4rgcQERExWgnEjk7mKyIiBp3t84E3J3Ad05vty4DtgFd1PZYYm2xfBOxD1eK/cljg+p3UotvfErieNEmrUOVA5gGWAj7X8+MHgAXb1w9CbUedqQOMaZLM64iIiIiIiIiIaZRszpgWPQ3XV2vZwdsAuwCb276108H1MUnLA58A/mj7MEkLAtcBPwd+CWwF7GX70g6HGdMgmdcREREREREREdMogeuYFravAPYErpH0IWB7YNsEridN0hzAHMDCwFskrdjKhawC3AQ8AXzU9qWS1OFQYxok8zoiIiIiIiIiIqIPtCaD5wKvsX1L1+PpV6255dFU2Z75gI8A/wTOtf3HLscW01cyryMiIiIiIiIiIvqA7QuBhRO4/m+SeuOYDwK/Ao6nGjV+FXgu8D5JL+1geDGDJHgdERERERERERHRJ2z/u+sx9BNJ8wLYHi9pmfb1PcBhwC+AE6ms69OAxYCUmZiFpGxIRERERERERERE9B1JLwN2BQ4F7qNqWX/X9j7t54tT5UMWArYEnrD9SEfDjRkgmdcRERERERERERHRVyQtD5wF3Gz7Hy0jfT3gHZL2BbB9N3Aj1ZzxJQlcz3pm73oAEREREREREREREUMkrQicARxg+zxJswG72D5a0mbAeZLmAn4PbAh8KHXCZ03JvI6IiIiIiIiIiIh+sijwKtvnte8vBV4EYPsvVMB6XioT+4gErmddqXkdERERERERERERfUXSO4Bjgb8AP7L92Z6fjWsNHIf+lBPknCUleB0RERERERERERF9R9JawGXAnLbHt9dWp5o4ftz2HV2OL2a8lA2JiIiIiIiIiIiIvmP7SqpEyB8BJC0HnACcmcD1YEjDxoiIiIiIiIiIiOhLti+WNF7Sv4FbqYzrS7oeV8wcKRsSERERERERERERfa2VEFnQ9ne7HkvMPAleR0RERERERERExJiQ5oyDJcHriIiIiIiIiIiIiOg7adgYEREREREREREREX0nweuIiIiIiIiIiIiI6DsJXkdERERERERERERE30nwOiIiIiIiIiIiIiL6ToLXERERERFTSdKnJLn997KuxzMpkrZpY9ym67FERERERIxUgtcREREREVNBkoDtAbeXduxwOBERERERs5wEryMiIiIips46wNLAqcCdwAckzdntkCIiIiIiZh0JXkdERERETJ2hTOuvAWcAiwGbDD9I0gKS9pX0G0kPSXpY0p8lnS3pdcOO3VDSlZL+JekJSf+UdLWkXSby9y4q6fOSfifpMUkPtt9dZ9hxVwEnt29P7ilzYkkvGe0YIyIiIiJmFtme8lEREREREfEsSc8DbgNutf0ySa8Efg38wPZaPccJuBZ4I3AdcD3wNLAU8FbgYNvHtGN3Ak4A7gAuAO4BngusTN23r9Lz974YuAp4CXANcBMwH7A+sATwQdtfa8duA2wMbAScD9zc8085CnhwpGOMiIiIiJiZZu96ABERERERY9C2wBzAKQC2fyPp58Cakl5q+0/tuFdSQeHzbP9HVrakccBCPS99EHgSeJXtu4Ydu9iw//1TgRcDW9g+q+e4hamg9pclfc/2nbZPqRg6G7VxnDLs715pFGOMiIiIiJhpUjYkIiIiImIUWjb1DsB44LSeH50CDP1suMeGv2B7vO37h738NPDURI69p+d//1XAW4Dv9Aau23EPAPsBcwObjeCfMzVjjIiIiIiYKZJ5HRERERExOm8DlgUus317z+tnAl8EtpG0r+2ngN9SZTq2aKU+zqdKdNxo+8lhf+8ZwOHALZLOBq4Gfmz77mHHrd7+XEjS/hMZ3+LtzxVG+O8ZzRgjIiIiImaaBK8jIiIiIkZnp/bnKb0v2r5X0gVUxvNGwLdtPyPpbcBngHcDX2iHPyzpVOCTth9pv3+EpHuAXYAPA3sAlnQ18AnbN7bffU778+3tv0mZfyT/mNGMMSIiIiJiZkrDxoiIiIiIEZK0OPAPYM4pHHqF7XUm8vsvpUp+fBBYBTjd9lYTOW5hqg71JsB2wAPACrbvkrQbcDTwEdtfHuG4twFOBrYdXvN6ascYERERETGjJfM6IiIiImLkPkAFrm+iSm1MzIbA2pKWtn1r7w9aI8c/SToTuIvK0P4vrXb1xcDFrWnidsAawHeA69thawAjCl4Dz7Q/Z5vSgSMdY0RERETEjJbgdURERETEyA01Y9zF9k8ndoCkA4FPAztI+jowr+1bhh22CDAXcH/P760HfN/208OOfW77898Atm+UdA2wqaTtbJ80kTGsBNxp+6720r3tzxdN5NilRzrGiIiIiIiZKWVDIiIiIiJGQNJbgR8Cv7a98mSOewnwF+AOqnb1OVSm9m+Af1INFTdqf37M9hHt9x4AHqeaJf4VEJVdvUr7/dVbE0gkLQn8AFgO+CVwA1VaZElgZeCV7fjr2/GLUOVOngZOA+5swz0aWBP47kjGGBERERExMyV4HRERERExApLOAN7HCGpNS7qcaqa4NbACVUN6WSqb+W7g18CXbV/S8zs7A+sCrwKWoALZfwO+CRxn++Fh/xsLALtTDSJfRpUEuQP4LXA+cIbtR3uOXw/YD1gJmK+9vDQV0N5lJGOMiIiIiJiZEryOiIiIiIiIiIiIiL4zrusBREREREREREREREQMl+B1RERERERERERERPSdBK8jIiIiIiIiIiIiou8keB0RERERERERERERfSfB64iIiIiIiIiIiIjoOwleR0RERERERERERETfSfA6IiIiIiIiIiIiIvpOgtcRERERERERERER0XcSvI6IiIiIiIiIiIiIvpPgdURERERERERERET0nf8P5/htnGgec1QAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 1800x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "# plotting our optimal portfolio\n",
        "hrp_single_weights = hrp_single.weights\n",
        "y_pos = np.arange(len(hrp_single_weights.columns))\n",
        "\n",
        "plt.figure(figsize=(25,7))\n",
        "plt.bar(list(hrp_single_weights.columns), hrp_single_weights.values[0])\n",
        "plt.xticks(y_pos, rotation=45, size=10)\n",
        "plt.xlabel('Assets', size=20)\n",
        "plt.ylabel('Asset Weights', size=20)\n",
        "plt.title('HRP - Single Linkage', size=20)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "bB1wbFPqIwto"
      },
      "source": [
        "PortfolioLab also provides users with the ability to plot their hierarchical tree from the optimized portfolio. This graph can be accessed through the plot_cluster() method."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "J0fYVmByIwto",
        "outputId": "abef2249-ae8e-4f8a-dcbf-5666771fb8ba"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1224x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "# plotting dendrogram of HRP portfolio\n",
        "plt.figure(figsize=(17,7))\n",
        "hrp_single.plot_clusters(stock_prices.columns)\n",
        "plt.title('HRP Dendrogram', size=18)\n",
        "plt.xticks(rotation=45)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "EjyxjwB-Iwto",
        "outputId": "ce11ca18-dee5-4693-cd3a-64568a3dd809"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "HRP Portfolio Weights - Complete Linkage \n",
            "       US-2Y    US-30Y     US-5Y    US-10Y  French-2Y  French-5Y  French-10Y  \\\n",
            "0  0.342019  0.005462  0.031405  0.010994   0.447405   0.083377     0.02637   \n",
            "\n",
            "   French-30Y     SP500  Russel2000   MSCI_EM  FTSE_Small      FTSE  \\\n",
            "0    0.007092  0.001989    0.001464  0.002245    0.006993  0.002146   \n",
            "\n",
            "   EuroStoxx50  EuroStox_Small      Gold       CRB  \n",
            "0     0.001443        0.003874  0.003849  0.021873  \n"
          ]
        }
      ],
      "source": [
        "# constructing our Complete Linkage portfolio\n",
        "hrp_complete = HierarchicalRiskParity()\n",
        "hrp_complete.allocate(asset_names=stock_prices.columns,\n",
        "                      asset_prices=stock_prices,\n",
        "                      linkage='complete')\n",
        "\n",
        "print(\"HRP Portfolio Weights - Complete Linkage \\n\", hrp_complete.weights)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "yhe9N4zlIwtp",
        "outputId": "1e0117f4-aacd-4468-92ce-a994e3f8316e"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1800x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "# plotting our optimal portfolio\n",
        "hrp_complete_weights = hrp_complete.weights\n",
        "y_pos = np.arange(len(hrp_complete_weights.columns))\n",
        "\n",
        "plt.figure(figsize=(25,7))\n",
        "plt.bar(list(hrp_complete_weights.columns), hrp_complete_weights.values[0])\n",
        "plt.xticks(y_pos, rotation=45, size=10)\n",
        "plt.xlabel('Assets', size=20)\n",
        "plt.ylabel('Asset Weights', size=20)\n",
        "plt.title('HRP - Complete Linkage', size=20)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "-dMbLwYqIwtp",
        "outputId": "8de951c6-4e11-4462-cdcc-e333f4178c86"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "HRP Portfolio Weights - Average Linkage \n",
            "         CRB     SP500  Russel2000   MSCI_EM  FTSE_Small      FTSE  \\\n",
            "0  0.023688  0.003356     0.00191  0.002398    0.005167  0.001826   \n",
            "\n",
            "   EuroStoxx50  EuroStox_Small      Gold     US-2Y    US-30Y     US-5Y  \\\n",
            "0      0.00105        0.001717  0.004258  0.394527  0.004289  0.039091   \n",
            "\n",
            "    US-10Y  French-2Y  French-5Y  French-10Y  French-30Y  \n",
            "0  0.01678   0.439188   0.048666    0.009526    0.002562  \n"
          ]
        }
      ],
      "source": [
        "# constructing our Average Linkage portfolio\n",
        "hrp_average = HierarchicalRiskParity()\n",
        "hrp_average.allocate(asset_names=stock_prices.columns,\n",
        "                     asset_prices=stock_prices,\n",
        "                     linkage='average')\n",
        "\n",
        "print(\"HRP Portfolio Weights - Average Linkage \\n\", hrp_average.weights)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "-FYzo-epIwtq",
        "outputId": "f8129b48-df65-477f-d86b-1ab348a927e0"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1800x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "# plotting our optimal portfolio\n",
        "hrp_average_weights = hrp_average.weights\n",
        "y_pos = np.arange(len(hrp_average_weights.columns))\n",
        "\n",
        "plt.figure(figsize=(25,7))\n",
        "plt.bar(list(hrp_average_weights.columns), hrp_average_weights.values[0])\n",
        "plt.xticks(y_pos, rotation=45, size=10)\n",
        "plt.xlabel('Assets', size=20)\n",
        "plt.ylabel('Asset Weights', size=20)\n",
        "plt.title('HRP - Average Linkage', size=20)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "DXYLR3BlIwtq",
        "outputId": "a3bb3a9f-bfaa-4cf2-8822-f82f9493a974"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "HRP Portfolio Weights - Ward Linkage \n",
            "        Gold       CRB     SP500  Russel2000      FTSE  EuroStoxx50  \\\n",
            "0  0.005128  0.029138  0.002495    0.001836  0.001695      0.00114   \n",
            "\n",
            "   EuroStox_Small  FTSE_Small   MSCI_EM     US-2Y    US-30Y     US-5Y  \\\n",
            "0         0.00205    0.005278  0.003196  0.398019  0.004188  0.038167   \n",
            "\n",
            "     US-10Y  French-2Y  French-5Y  French-10Y  French-30Y  \n",
            "0  0.016486   0.431492   0.047813    0.009359    0.002517  \n"
          ]
        }
      ],
      "source": [
        "# constructing our Ward Linkage portfolio\n",
        "hrp_ward = HierarchicalRiskParity()\n",
        "hrp_ward.allocate(asset_names=stock_prices.columns,\n",
        "                  asset_prices=stock_prices,\n",
        "                  linkage='ward')\n",
        "\n",
        "print(\"HRP Portfolio Weights - Ward Linkage \\n\", hrp_ward.weights)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "2ib25_0_Iwtq",
        "outputId": "7237a43d-3e02-452a-a99d-e6cdef324caa"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1800x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "# plotting our optimal portfolio\n",
        "hrp_ward_weights = hrp_ward.weights\n",
        "y_pos = np.arange(len(hrp_ward_weights.columns))\n",
        "\n",
        "plt.figure(figsize=(25,7))\n",
        "plt.bar(list(hrp_ward_weights.columns), hrp_ward_weights.values[0])\n",
        "plt.xticks(y_pos, rotation=45, size=10)\n",
        "plt.xlabel('Assets', size=20)\n",
        "plt.ylabel('Asset Weights', size=20)\n",
        "plt.title('HRP - Ward Linkage', size=20)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "CAwyaBfeIwtr",
        "outputId": "d63d1537-d9c9-4c26-e675-cdf45599be4f"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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KkiRJkiRplhoowdQvM8/KzOcB6wCvBX4NPBz40DTFJkmSJEmSpBGwyAmmnsy8OjPfl5kPAragps1JkiRJkiRpQiw1nb8sM88Gzp7O3ylJkiRJkqTZbegKJkmSJEmSJE02E0ySJEmSJEkaigkmSZIkSZIkDcUEkyRJkiRJkoZigkmSJEmSJElDMcEkSZIkSZKkoZhgkiRJkiRJ0lBMMEmSJEmSJGkoJpgkSZIkSZI0FBNMkiRJkiRJGooJJkmSJEmSJA3FBJMkSZIkSZKGYoJJkiRJkiRJQzHBJEmSJEmSpKGYYJIkSZIkSdJQTDBJkiRJkiRpKCaYJEmSJEmSNBQTTJIkSZIkSRqKCSZJkiRJkiQNxQSTJEmSJEmShmKCSZIkSZIkSUMxwSRJkiRJkqShmGCSJEmSJEnSUEwwSZIkSZIkaSgmmCRJkiRJkjQUE0ySJEmSJEkaigkmSZIkSZIkDcUEkyRJkiRJkoZigkmSJEmSJElDMcEkSZIkSZKkoZhgkiRJkiRJ0lBMMEmSJEmSJGkoJpgkSZIkSZI0lM4TTBGxbURcGhG/jYjXz+XxB0bEDyLi3xHxmi5ilCRJkiRJ0rwt1eV/HhFLAh8BtgYuB86PiFMy85K+za4BDgCe2UGIkiRJkiRJWoCuK5g2Bn6bmb/PzFuA44Ad+jfIzKsy83zg1i4ClCRJkiRJ0vx1nWBaG7is7/bl7T5JkiRJkiSNiE6nyAExl/tykX5RxD7APgBrrLEGZ5999hBhzSabdR3AUMZnP0jSvGzWdQBD87NakiRJw+o6wXQ5sG7f7XWAvyzKL8rMo4CjADbaaKPcbLPNhg5Ow3M/SNLs52e1JEmShtX1FLnzgQ0iYr2IWAbYCTil45gkSZIkSZI0gE4rmDLztojYDzgDWBI4JjMvjoh92+NHRsSawAXA3YE7IuIVwIaZeUNngUuSJEmSJOlOXU+RIzNPBU6dct+RfX+/kpo6J0mSJEmSpFmo6ylykiRJkiRJGnEmmCRJkiRJkjQUE0ySJEmSJEkaigkmSZIkSZIkDcUEkyRJkiRJkoZigkmSJEmSJElDMcEkSZIkSZKkoZhgkiRJkiRJ0lCW6joASZI0WiIG2z4Z9B/kYNtLkiSpc1YwSZIkSZIkaSgmmCRJkiRJkjQUE0ySJEmSJEkaigkmSZIkSZIkDcUEkyRJkiRJkoZigkmSJEmSJElDMcEkSZIkSZKkoZhgkiRJkiRJ0lBMMEmSJEmSJGkoJpgkSZIkSZI0FBNMkiRJkiRJGooJJkmSJEmSJA3FBJMkSZIkSZKGYoJJkiRJkiRJQzHBJEmSJEmSpKGYYJIkSZIkSdJQTDBJkiRJkiRpKCaYJEmSJEmSNBQTTJIkSZIkSRqKCSZJkiRJkiQNxQSTJEmSJEmShmKCSZIkSZIkSUMxwSRJkiRJkqShmGCSJEmSJEnSUEwwSZIkSZIkaSgmmCRJkiRJkjQUE0ySJEmSJEkaylJdByBJktTv4Dh4oO0PyoNmKBJJkiQtLBNMkiRptJ1zwWDbb7rRzMQhSZI0wZwiJ0mSJEmSpKGYYJIkSZIkSdJQTDBJkiRJkiRpKCaYJEmSJEmSNBQTTJIkSZIkSRqKCSZJkiRJkiQNZamuA5A0sw6Ogwfa/qA8aIYikSRJkiSNKxNMkv7TORcMtv2mG81MHJIkSZKkkeEUOUmSJEmSJA3FBJMkSZIkSZKGYoJJkiRJkiRJQzHBJEmSJEmSpKGYYJI6FjHYz+D/QJIkSZKkmWWCSZIkSZIkSUNZqusAJEmSpPk654LBtt90o5mJQ5IkzZMJJkmSJN1pUWZXZ05/HJIkabSYYJIkTatBT06TQf+BZ7KSJEnSbGMPJkmSJEmSJA3FCiZJkiQtVgfHwQNtf9DZT5+hSCRJ0nSxgkmSJEmSJElDMcEkSZKk4UQM9iNJksaOCSZJkiRJkiQNxQSTJEmSJEmShmKCSZIkSZIkSUNxFTlJY2XGVybadKPBtpckSZKkCWAFkyRJkiRJkoZigkmSJEmSJElDMcEkSZIkSZKkoZhgkiRJkiRJ0lBMMElarCIG+xn8H0iSJEmSFjdXkZMkjRRXCpQkSZJmHyuYJEmSJEmSNBQrmCRpBi3KrL1kwH+UOfh/IkmS1DPoAYvHHpLmwgSTZpWBv9s8EZckTZpzLhhse6d9SppmTleXNDedJ5giYlvgg8CSwCcz89Apj0d7/GnAP4HdM/Oniz1QjYVBvwzBL0RJmnQzfWF/xk/UJE2cwS/aStLwOk0wRcSSwEeArYHLgfMj4pTMvKRvs6cCG7SfxwIfa39KkiTNPgPPjX3rTEShWWTgJGIeNEORaNawElGaWU777ETXFUwbA7/NzN8DRMRxwA5Af4JpB+AzmZnADyNipYhYKzP/uvjDlaTZxzJ1SRrOjE/RHzSJOMPJh5ke78EDjneRqvImccyap5l/Dy+GfTzTx1smXObL4+np0XWCaW3gsr7bl/Pf1Ulz22ZtwASTJEmSJGnizPQ0yNmWcHHa52iI7DAzGRHPBbbJzL3a7V2BjTNz/75tvgG8KzPPa7fPAl6bmT+Z8rv2AfZpNx8AXLoYhjBKVgOu7jqIxWjSxguTN+ZJGy9M3pgd7/ibtDFP2nhh8sbseMffpI3Z8Y6/SRvzpI13Jtw7M1ef2wNdVzBdDqzbd3sd4C+LsA2ZeRRw1HQHOC4i4oLMnIy6PCZvvDB5Y5608cLkjdnxjr9JG/OkjRcmb8yOd/xN2pgd7/ibtDFP2ngXtyU6/v/PBzaIiPUiYhlgJ+CUKducAuwWZRPgevsvSZIkSZIkzR6dVjBl5m0RsR9wBrAkcExmXhwR+7bHjwROBZ4G/Bb4J7BHV/FKkiRJkiTpv3U9RY7MPJVKIvXfd2Tf3xN42eKOawxN2vTBSRsvTN6YJ228MHljdrzjb9LGPGnjhckbs+Mdf5M2Zsc7/iZtzJM23sWq0ybfkiRJkiRJGn1d92CSOhMx6GKXGiXuX0mSJElafEwwTbiIuH9E3KvrODqydNcBzDT3r3raQgoTY1LGGxEbdB3D4jRp45XGWf+FIC8KabaKiLUi4i5dxyGNChNME6qtynd34MPA/bqOZ3GLiAcCn46IJSNi7N4H7t/x3r+DiohHUat0MgnPxySMt73H7wp8PSIe33U8M20cxxsRa3Qdw+Iyru9DDe1uvb9kZo7j6yQiOu93q0UXEU8HPgCs2HUso2Qc38taeO78CRQRkeUG4Bzgoe3+SXo9rAjcNTNvz8w7ug5mOrl/gTHev4toE2AXgAl5PsZ+vO09/k/qPT6WY+w3TuNtybLVgR9HxM5dxzPTIuIpwLER8eqIeEzX8XQhIu4XEY9u+z7afRNdsdNO3L8eEYdGxEFQn9fjdKzSLnYdHhEP7jqWrkTEBhHxP13HsSgiYmvgHdQq51dFxDKT/r6dl4jYIiJ2j4gXwJ3v5Yl7riJi3Yj4YNdxdG1sPsQ1kHX6/v4H6mRsbE/E5uHHwAoR8eiuA5kB7t/x3r+L4svA1V0HsRiN9XgjYuW+m/8HvKjdv2Q3Ec2sMRxvZObfgD2AN0XE9l0HNFMiYhvgEOAiYF1g424jWvwi4tnAycBhwCeAfSNiuVaxM3EnYAAR8VDgcOA9wDeAjSPi6zB2SaYXAi8F9ouIjboOpiP3AI6LiF26DmQQEbEFcDywS2Z+MyLuC7wXWL3byGaf9lwdTX3G/09EnBMRd5vQz7grgU0jYqJXqbNsc4K0N/nqwOkR8UPg38ApwD0j4q7t6vDYiognUh9+NwDfB34PLNdpUNOsXRU/re3fW3D/jtX+HUREbAYsD/wW+A3wgIh4fGZ+v9PAZsikjLddCX99RCwHnEZ9j98OkJm3R8QS45RMjogNgQMjYlnGYLytwrQX7x3An4ATI2L3zPx8h6FNu4jYGDgJ2DIzvx8RewLPjYhrgBsy8xvdRjjzovq27ALslZk/iIidqCTb/0bEezLzX91G2JmbgPP6XgPnRsS3IuJrmbn9KL2nF+BTwH2BPwO7t8+rH3cc02IREesB98jM77Xv56+18X+m49AW1pLAjcDK7X38OeCrmXlVt2HNSk8BPpGZ7wSIiGOBL0fEszPz5lH7nl4UEbEO8LzMfH/77vtmRBydmXt2HVsXxuUKgRbOEu2DcRvqStp1wBbUwc6OXQa2mDwUeBDwlvazM7BHRNyj06imSVQz738AT6d6L12D+3ds9u8ieAiwL/Va+CSwCrABjO3UjEkZ7xXU6/u7wErADsDWEfFiGK+r/1E9in4HHERNjRv58WZmAkTErtTV8P3bz2G9qQWjrn8aGHA28LD2OfxS4HJgbeDQiHh+RyEuTgGsQI0Z4CtUxc6K1HfUpApgrXYiBkBmbk29fF7XXVjDi4iV+o47LqMS4hsAv6CSTJNSybQZcGpEPCEzv0t9dh8REbt1G9b8RcQmEXHfzPwWsBvwMSpB+JHMfG/fdg9sF3oEF1CzBpYHyMwXUlXkp7XbY51capalqrcOzMxbqKTb+hFxdMdxdSMz/ZmAH2BLqnzxtcAWUx7bmDqIf1HXcc7Q2B8C3B9Yvd1emap0eCnwTuDlwBpdxznkGJ8G/AS411wec/+O+P4d8Pm4H7AqsEzffU+iTtIvATZp90XXsTregca5BfC/wCum3L9KG++JwEu6jnMax7stVYl4jyn3rzqK46US4O/ou/1K4C19t7cDbqamY3Qe7zSOeyPgS9QFrRe3+wLYEzi06/hmeOzR/nw2VU38mHZ7GWrq1NFdx7iYn4+HA8/sfR9TCba/Ag/s2+apwFu7jnWIMa4NXEVdANicqrhcE3gflWB5A3URZOOuY11Mz8eLqYriJ7bbmwHXz9bPuXYs/SvgBcCS7b4tqMroZ/VttzuVLF6l65g7fK4eD6zT/v5I4DvA06ZscyKwfdexLobnYon25wOAbwJvbreXoS6yHNV1jIv7Z2Su+mnRRcRTgY8APwLuDjwjItZujy2ZVa67K/D+UZsjvSAR8TTqzf5K4AdRTSX/mZk3ZeZHqefk3sCL2vSykRPVQPU9wCsz889TqzXcv6O9fwfRermcCHwc+Ei0BsKZeW5mHgwcARwdEU/K9u03yiZlvO0z/GNUVeIeEXFY77HMvAY4HzgSeE6bhjTSImI74I3UQdp/TEfIzL9TV0tHbbx3BR4UEQe321cA9+9VX2Xm14HTgVf3rgKPoojYPCI+HNXsdcPMvIA6uT6HSv7T3ov3BNYcpeqzhRURz4iIDwEfbVNaTwPOAvaMiI0z85bMPBa4X0xI8+eIeAbwNeB5wDFRTb2/CrwJ+HZEPKFtuh6wSUTcZdQqT6N6wl0DnElVU+8FHEBdGPgHlUw7mqrs2Ctqpd+xlpkfBz4IfCoinpiZZwPbA5+JiN27jG2qiNiUuii5W2Z+ITN7U7G/TSXK3hIRO7Rj7pcBB7Xv34nTnoMvAGsBZOaF1DHKeyNiu4jorbh3BfXdN7Z6097b+fSlVEXyEyPiLTmnkumREfHpTgNd3LrOcPkzsz/AasAZwLbt9jrUlZWn9G3Ty7xuDNyv65inady9svSTgK3bfTtRmeTnA0v3bftc4F3Ayl3HvQjjXJk6eD2s3V4dOBB4CfA/U7Z1/86C2GfwOVkF+Cl11XRNqiLip8CeU7Z7FZWQWLbrmB3vQo3znsB5fZ/hq1JTLTaest1y7blYp+uYhxhrUNPgbgPe3e5bB3gOdcX4Hn3fVyM1XqqS4THUQfkb2lhPphJlT6Aal394VMYzjzFuA1wIvI2qWno7NW1gaeCxwOeB17TP5B8CG3Yd8ww8B4+mKjaeCby5PR/bUNU7r2jf18+nLvr8jFZ5O84/7bV+OPDUdntzqsL0w+19/Pz2XvgicDHwkK5jXoQxbggcCtyFmv74vvYafwA1FfYq4Nj2XDwIuG/XMc/Uvm5/PpSaObFcu/1iqgroCX2vgad0EeN8Yt+NVj1HXYzfor1un9u+e54M/A34C/CgruPt8Hnaor1PN2+3l+97bFsqwfrB9tz9BnhA1zHP4HPRe70/mUok956T9agLRm9qt5ehVdNPyk/vidEYi4hNgD8Cf8tqivpO4M+ZeWS3kc2Mlk3u9bk4ArgUODIzb2sVLq+jpip8s+/f3C0zb+wm4uFExDOpsvLfUV+Q36BO0O4PnJ6ZR49rg72opUB/wxjv34UVEcsAHwLelpl/afc9ieq3dmhmfqVv25Uy87puIp0eEbEUdYIy1uNt1SwbZeY5EbF0Zt4aEccDH87Mc7qObya0iq1PUctDP5NKED6ZWh3yg5n5x+6iW3j930V9921EHYj+kDoIfyd1QvpgasrfxYs90GkQtRz7JcBmmfnd1lvnHcA+vf0Vtarne6hky5Mz85Ku4p0pEfEc4NmZ+fx2exfq4sfh1AWQ7ajk0r+B92Zd+R97UU1/r8nMV7bbDwOeBdySme+KapB7B0Dv83xURMT9qeTpsZn54XbfclRFx1KZuUtE3A+4W2Ze1GGoi0U7Dnsf8G1qFeP9s5r870V9Jjw3M89t2/7XZ+TiFhFbUonha6mLAKdS1Wc3Uhc87gDOymrevClwZValykSKiPcCj8zMrSLi3lRPyGWoqYXHtL9vSD2nx4/7cxUR2wIfoD7jX0Mlko+gXjufBb6TmQd1F2E3TDCNsXl9cEfE26gKjze0A/l/jtOJSkQsk1WWSEQ8j/qQOzIzf9/u25n6QHxyZv6/7iIdzpRE2g5UWeaJmfnRlmzYG7h7Zr6ryzhnQkQs1RJKu1A9mI4at/27sFpZ7u3t70dTFRDb9D2+I3W18A3Av9rz1vlB3TB6CdOI+CSw7gSM9z8SpC1xfnpmfqNNLfntuLzW+/btttSB/hsy890RcTfgy8AZmfnBbqNcsCmfz7tQ1cR3UCedj6KqWc7PzMPaNiObBI+IR1InY+8F/pGZu7b7T6emBf0E+CWVYHk48PfM/FM30c6M3udw1FLmBwGH95JHbf//L7BTZv4yIpYG7uh9bo+rdhxCZt4StaLY+4CTMvOz7fGnUCdkO+WITjWKiA2oi3pvzMzj277dKzM/1j6zPkadcD+/d5Fv1L+P5iciHg58glpY5mHAZ6hWBYdm5rlRizNcmjVVrnMRsQ2V9H4hVVH4QeA+wB+Az2bmBRHxOKoa81mZ+Y+uYu1a/4XqiPgwVV19b+pi0FXURe3lqantt3UW6GIU1W7mw9Tn+72odg0XUBe+3wWsQVWpnt9ZkB0Zu7nvmmMuV06Xbn+9ErgsIraiStnH5kAvIrYGPh8Rb2x//zo1fWafiFi/fUB+nppysmyXsQ4rM7PXoyAzT6bmhH+83b6FmkJ2r4hYYtR6GcxLRDwmIlbu+/L6BvUlt/e47d+F0V7jb42I1wNkLYf674j4Qt9mF1CNR5foPW+jenAbEQ+JiDV7BzmZuRfwr4joX959bMbb00s8RPX4gHpvL92qJY6mllMeCy25tERmnk5NI3l3u30jlaCY9Vq8veTSntTiGldS0/wOor5z3wdsFRFvbP/spg5CHVqrVvg88AiqF97tEXF8RLyHmsJ9KTVN6Ejg/cDFY5hc2pqqtIM60boR2L6dfJCZn6Omc+/Wbt86AcmlZ1H98T7b3gOXUdMmnxRtFbFWZXwTdRFw5LTP42dRlS/fbnefRCWQe5/b+wJJ9Z8a6+RScwl1cXN96vziflR1/ecjYrPM/Hhmnj0bjklbgvNEKiFyUdsvr6SWmn95Vv84qITTv6j9OLH6kkurZeZ+1MWDz2XmhzPzy8D3gPtSqyaOrf7XbmZeQV0suguVUHoYcBR1PvYK4IpJTC6BCaaxExGPaGXo/ff13gy9/f1nKhv/VmplsT8utgBnULsS8X7qi/xuwJaZeRP1hbE69YZ/TSvT3Rq4patYF9XU/duSTEu1m7/vq2TZnSrL/2Bm3jEOBzTtYOBHwGkRsRJAZl5L9di5J3UgN9L7dxCt+vAD1Fz4vSLiHe2h5wN3i4gzW1n+VlQfm7t0E+n0iGomeANqAAAgAElEQVTo/W3gqFaW3bMLcPeI+OY4jbdf32d4773+G+rK/8uA54zalJKF0Bvv5XBn0ml3atWpM7oKamFExBP5z6XItwH+NzOPo3pXPIRakOEnVIPjT8FoJkGjpot8ENgjM4/PzD8A+1HTv14CPCkzD83M/ampJ+/PzH93F/H0a8cdH6J6s/SSCu+metDsExGPbZtey4Qcc0fEg6jkwvuok639qdfDz6n+LM+OagT/Eiox+cuuYh1GO946CTgOeGdEXABckJl79212G7AP0LsINHLv8/npfTdFxHoR8aCWPP0Z9fo/N2tq+ilUm46re/+u6+ehJcYPBc4FXhYRa7SH7sjMm9s2d4+IF1HftW8Y1QrT6dQqpt8PkJkvo6p3eu5BnXvdrYPQFpt23vWYiNgpIlZoF0xWoCrmb6Z6dH0f+Fpm3tppsB2aiC+7SRG1otaxwNoRcdd2X7Q3wyZUd/+7UCcpK1PJpV90F/H0iYh7UAmGV2TmZ6jlMh8VEc+lrqTsTZ2crkZNn3laZv61q3gXxXz2721t/74/IpaLiEdRB3M7Z+avOgx52rTxPoEqu/4RcFJE9FYkuppaqeWHjPD+HURErEkliF/VTlz3BZZtSZhbMvMZVOJpf6qXwF6Z+beu4h1GlOWpJqGHU+/t9/aSTJn5j8zcnkq6HMCIjreNc67fyb0DGippDHWgvgHVs+f/FleM02kB4729jXfniFghaorCfszyz7SoaX1HUCeVvRWifgfcNyLu3k62Xg48LGoq909HPDn4aOCIzPxRtArpdhL2YmqFsKP77r8uMy/rLtTp116jHwMOzOo7tWI7FrmCOua4K/CKiDiF+oz+/Lx/21hZjupTc3ZmnkUt+b41sFWrdHgZVeWwDvDMzLy8u1CHk5m/piqpr6AqXL7Ue6wlYN9LJS3G4lh7qvbdtD3VpP3EiHhdO8+4iPqcO4zqu3TgbPmuiprW+ATgZZm5LTUd7isRsXpvZkCrTnsK8HTgheO6/xbBn4H7RMSa0XpCAkTEK6hpYq/LMZ9GGBGbU+diewNHRvX+vAS4OiLOpL77jpgtr/eu2INpTLQX/BHUCce5Ux57GNW74pWZeVq77x45ZfnnURcRa2XmX9sB3hnAD6iy7I2Ak1viiYi4y6hdRV3I/fuKNq1kpJsaz0tUb4srMvPfUb2G7ks1i7x6ynbLZua/OglyMYqItTPzipZs+iW1OtW9qCuFh2TmlW27u2bmP7uLdHpExFrUifuywJ5UE8nXtaqJ/u1GcrwRsXyruOxVRdwK/CQzr49ayvzbwK6Z+c2IWJ/qnTeySdSFHO/OmXlm1JLHS2Xm3zsMeb7ayeTRVMw/6rv/PVQ13YlUj48tqQsA243q51TfhasjgOsz8029+/q2eQBVyXNztobX4yYitgNeSp1A39z+vIV6LX81M7/YPp8fAVySmX/uLNjFKCJWoKocvkRVsdwSERtSxynvy8xPdxnfTGjHJ88G1qPGvizwOeDgzDypy9hmQt9nwBLUeD9OVS4eCXwTOIG6CLIdcFpmzorK01a59Fbq2PGPffd/jKou3bF3cSqqh9hymXl9B6HOKhGxD5UwX5aaBvb63udZe57eRTW5/3l3Uc6cvtf7Xah+XRdm5vkRcTA1Q+ZL1HTwTajk+g87DHdWMME0BiJiWWAHYMXMPCoiVqWuLD4O+H9UCe/9MvO8mNMceWzmgc/lwHYV4LGZeVq7eroXsEpmHtJZkEMYcP/e2fB5HPXv65ZkWj8zN2tX0JbNarI5Nq/t+en7wluLer2f1Cp9jqeteNJxiDMmItal3tcbUlMCNwJuyMxLRnH/t5OT91GVH1tSy5tfT/U0OIm62h+Z+YPOgpxG4zjedgU3s68BeUQcQlVvQCWAHwasCuw7DgfiEbEFcCCV6P1JryIta0rjS6km7TfnmDSg72kVEP8A/g48iarIeTC1guVp7e8vpipM/zCv3zNOIuIRwCrA/8vMiyPi5VRD98OoRQj+FTWt+1nU63/kVrWNOY3c57oqb9RqcttR07QfSq2geNoofictjJZg3YbqsfbyrAb2D6Wqts6hpsT2Ftzp/DloFaZvolYZPr2/Aqc9/jHggVQPprG6AD+MdoHnyVRvyw2pBMtvgV9T5yBnUxfxx+413i8inkFVaS0PfCUzD2mVbm+mLu4em2O0YNawllrwJprN2hfaTlQn/wdHxE+pTPIN1NX+3YH7Z+arAHJMmt72m5JcWiJrNZLT2mO3RsTdgXXndVAwmy3C/h3b5BLcWY69dNY8/z0j4v0RcSV19Xjb3jbdRrl49MbZqlhOage/N0XEWYx5M8rMvKwlGJ9FlSavQmsUO6L7/99UFdqRVGLlwe1z643A04BvZOb3YXYcqE+DsRlvX3zrU0my3v1PpT63n0stVfwXary39qoLx8CPqAUVnhcRZPWVImr11r2BU8YwubQtlTS5iJri9RyqB9P9MvPots21VN+dWfu6nU7tAs/bqemgN0bEKZn5wajpUa+gpk6dTp2grsycHmsjIyJWo/osHZxVOfxfx5OZ+euI+DqwItX/8ox2/9i9DlpF2qupqXGrAG+PiNdm5i8i4nVUf8jjqURE589Bu/B8KlWhdHqrAn5LRLySWvny1sx8SUR8Fvh0RGw3aucLMyEiHg88IzNf33dfUpVMH6GSqRd0vX9nWkQ8ENiD+pxbDTgwIi7LzM9Ercx+MDCSK2HOFHswjb5VqF4P51MJhzdQJ1zvyMznARsDD2kly2Mj5tHMvF05XaZ3OyL2oK/ZdRexDsn9O+e+3kFp/8Hpj6glgLfLzEsXV3yzQe/5iNbkvV1Z3Z1aqejUDkObEX3j7S19/WfqStJywGY5gitT9VV8XAF8lHqfPykiHpKZN1DTYpcCnh8RG7dtR/ZAbhzH2xffScBjo3rgQTUzflHWSkSfBa7LzMvGKLlE1hTHT1Crph0WEe+LWmzgYGo658j21pmbiNiSqrzbh0qgnUcll75L7eOerYC1qJWnxlpUM/tDgV0y89lUc9unALQLX7+k+ticSVV6HTJqF8Lad88yVNXau6PaMdwRc+khl9WT6dBecinmrPw50iJitWirIrZqtXdRFwIOB14H/B+VgLtfVpPvZ2Tmb7uL+D+1C8/bU0ml3kpfF2bmNe1CdO+7aVfqc3sUzxeG1nec3bMyVaV557EXcDrw91aF+4Fx+5yHqpKPiC3aeeQ61PTn2zLzm5n5BSq5ekBE7J21kNKb0z5d/8EE04jLmud5IrWK1inUm/3lmXlh22S79udtc/v3oygW3Mz8fVHTyjahmv7ukpmjukqJ+5e57t+7RsTqVBn6ppl5cYchz5j25bagxs87R8QqEbEVdQA/qxshz89Cjvf5bf+vTDV03y5HsJliLyHe/r4jlSz7FPBp4K0RsUE7cPsItQLVHzsKdVpMwHh/SE3x2ykiNm5XxG+JiOdTJ9gjM91vEC1Z+F6q+uxGqu/hM0bxPTk/USuXvhT4WWae15JrJ1JTczPnTAU6AHgLsPc4JRPn43rgk337+ytUtfX6AFlTtV9FHYs9NTMv6ibMRRO1MumrqAt9Hwf+RCVT55pkiqokvjnmNLcfqWTa3EStCnga8Mh2bH0lsDTwmKgl6y+nEs1/BN4TEctRVeWzSmZ+g5rSexHwrcw8PCKW6Ls43UsyTcL7dq56F0wiYvuI2Bq4jrbKY+8zjuoxt1VLOI1cNeKCtGql06lpbyu11/d51EI6T4/q83kGcBC1iMPa8zpunWT2YBpBrWTxXlmrR/XuexzwTOoA71gq4bANtfLOC8flYC8Gb3a9ctZS9iPD/TvQ/h25hu2DiMEaId+DWq3m6vn8ylltIce7S2Z+q20z8g3do5bq3h94emb+oV0l3oPq13NQVl+LsemtNs7jbWPZE9gCuJA6yXoOtVLWJV3GpkUX1WvmUVQVzuuBizLzLRHxbqpSafe+5Olu1JSRsd7f7fv40cBx1LTP29oJ57LUKko7Z+aVraJl1lSyDCJqGthxVAPfL2fmb6JWL92HWmTkVVkLyyzREhS9Hk0rUY2vXzfK38dwZ7+xE4CPZubH+8a6OlUFdCnwnsy8plV6LJeZv+ky5gVpiZMjqN6V10frTdt1XF3qu4jb+/NjVC/Ee1MXSD5NFaV8m5r2+MtRO7daGFH9PU8DDsvMY6JvKmxE7A08kfpMOCcz/9kSrCP9Hp8pJphGUNQqCEdQX17H992/MdWT5xvUSiYHAvuPUfJhIppdu38Xav+OXD+tQcUYNkKen0HGO/VgqLOghxQR61FLl++amb/ru39daqWxdaiExW2jPM6eSRhvu3r/KGpZ9iuAs2f7CZfmrSWXDgHenpknRK0K9wlgBeAO4CktuTJRJ6kR8Vyq/cBXgTMy82/tKn5SlV27AM+gLoztO2onoxGxBjXV/EOZeeyUx3pJpntTx2lXxJwFdFakvq/eMvUi2ShqFXnLZea7o6bjr081wr4CuJiqQr0SeFvWNLSRENUj73DgcaMU90zoP45qSdVrcs4qxPekEomnUp93qwBfyL4V+MZJRDyJWmHwgKjprZtT3+fLA28Dnkedp3wWOHXcz0OGYZPvEZSZ34iIO6i54Etk5pfaB8SPo+ZGvyAzd46IH+eYLK8ZE9Ts2v27UPt3Ej7Ux6YR8kJa6PH2jNqY55IYu5VKnv6+Pd5b1eYW4IPA7dm3ys2ombTxAmTmzVRS9Htdx6LhtGTSq4G9spakvmurynkbNT3ibGDJ9vKeiORS772ctWJrUgmkJSPiG70r+RFxE9Vj7aFUMnmkkkvNXajq2WOjb/pLVr+VP0XEp6lk+OERsWvWKnkrUcm1N2fmed2EPe1upab9HkP1VlsduD9Vnfll6sLA59r9I5OoyVrdbxngzKg+YjlqxxPTpS+5tB/1mv5T++zbLjP/EhHfpVZpPmwCEuk3AntHxDnUCrC3U1WZAOdn5qPac/OnCTkPWWTOGRxRmXkaVar9+oh4Xt8H4w3Aza2CZyySD81ENbt2/473/p2fGMNGyPMzKeOdkgRcAyBrbv9dqaRab9XLPaieNteOcun1pI1XY+nf1An2v1qF7Wsj4myqenhZKrlyMLBSZxEuRlMvZGTmCdSU/W2Bp7eqH6iekVtSy72Pan/E1ak+M/dpSaU7cs5UmXtRCaiPAG9qyaWlqWbnbxuj5BLAZ4CfUT3k1qGqWbakpjk/qiUPd8wRXGQlM08Gntz27cgdU0ynlmTbA3haZj6TOg77WqviuYGawg6VcBlL7fPtQup52JdKNr0T2CkznwH8ISJWz8zD0obeC2QF0wjLzFMj4nbgqKhGhP+myvf2GOUKnrnJzB+2E9FtqWbX35/yJT52za7dv+O9f+emfcH1N0L+P6oEfVWqEfIbsvpAfATYi9FrhPwfJmW8U0rQ9wf2iojvUFMp/gf4StTy1r+gpla9KOc01Bw5kzZeja3rgDOoqbsPpnowfY6qtHwW1fB5EybkYm3fe3ofYD1qlbyPUp/ZuwJ3RMQXqBWX/p4jNjU0Ih5AnVy+OTN/EhEnAjtExGezegz1Ki63pJJoh/YdiwU1Le6qbqKfGVk9EV8SERtm5iV9ValPAlZvF/1u6jjMRZaZN3YdQxdadfhNWT3DVgX+TiUSbwDIzP3b6//F1LT2b7X7xzYR1xtbZh4XEV/vf21ExKbU9NDlgb91FOJIsQfTGIiIR1KJh38Dx+WIrpg2VUxws+t+7t/x3r9zE2PcCHluJmW8Uf3Vnkdd+d6Squw5i+qr9gKqf8mPRu3EbF4mbbwaPxFxN2qq17rAydkWlYiIY6nv49O6jG9xawnjHYC3Ah+gpi6/NSKeSU2vOS4zP99hiIskauWoL1LTvj6WmddFxAuY07D/q2260GOBY4CXZ+aZ7d+OwxT1hdIqtZ4IHAYcOGmv/3HQpgY+BViT6iW3MvW6PwJ4f2Z+vW33ZuBvmXlkV7F2LaqZ/eOBtwNvyFqJUAvBCqYx0Er6LlzghqNnZeCdEXF7tmbXWQ1+b6d68jyU6t2xG2OcfHD/jvf+nSqqEfKuwPaZ+Qeo6WPthOYlwBsiYk/GpJprUsYbtdTzsdTqJD+KiN8DOwJbActn5mc7DXCaTdp4NZ7aVewftB/gzgbXDwEmMTG6DlVpvD91Jf+dEbFMZp4UETdTVagjJSJWA44GPpCZn4k5PZe+SB2DPJbq1fNN6vPrwF5yCcajqiMi7gNsCJye8+gtE7WAwROB91DVWqdNUnJtHETE2u346s/U9N7VgG3bRbzDgXe0JOrS1Pv8+R2GOxusRlVxvdHk0mCsYNKsFrXSw7uBQ3JOs+tsJdqbZjW7XjHHqx/RxHD/znV52HWoK0k7tttLZ/Wq6fW3uD1HuFfNpIx3bgfeEfE64BVUpdZPI2Jl4IXUlcR3jfLrfNLGq8kTEWtRFXl7U/2FRi6ZMogpU11XadPEPkdNFbmCeg5uj4h9gasy88Qu411UrUrtcOC1bYx7U0mlDanpkedQUyRvBG7NzF+MU2KlTQ08geondfICtl0eWDMzfxcRAeORYJsEEfE0atGC/wV+RVUtXU1NVT8mM6+NiMdQr/W1gRNyBHtrDSIiHka9p+c5MyQiVs62UEFMwArW08UKJs1qvSskwCERQWZ+qT00rs2uJ8qk798pB6lrAFdm5uUR0WuE/OKc0wh5c2o1o5HtVTMp451yYvZsYC3gp9QYrwOOiYg9s/p8fBpglF/nkzZeTazrqKqlHTLzt10HM5OmvKf3oxqZv4NKxHwKOKsll3YHXg5s31WsiyqqWfe9gfOoSoVXRsQOwG+Bi4DfAa8BfpeZ3+3/t+OSVIlalv5jwOGZeXI7HtsA+M08xnhzZv4Oxuc5mAQRsQ3VsPoVwM/ae3dHqg3B7sABVEXTTcAPJiCxFFQ/pf2p6sV5bbdkS7wtkX2N/rVgJpg06+UENbueRJO6f6ccwI99I+RJGm/fOA+gxnY8dVJ2YGZ+vE3BODEidsjMizoMdVpM2ng1mTLzZqp/2Njre0/vA+wCPKc9dDHwUuCIiHgyVc307FFKuLWTyxWAHwH/oI439qOmBJ0EfBi4LjNviYgNgAdSDZDHSruw8xXg4sw8OmrFsLOAL2bmr+ey/ZItMbEiVeH1LZNMs19Uz6V9qJkCZ0fE3VrV3iOAc4GvUatAnkWtnvj07qJdPNrr9sY2VfDxwA9hzmu8/+8RsRLV6P5DWU3vtRBMMGkkZOYZUU0knwcsA+w2v5JGjZZJ3L99B/BPBx5DHQBsSa1OdHequXmvEfIxOeKNkCdhvFOSaGtQyzg/MSL2Av4MnBQRS1GVPbfRVmwZVZM2XmncTXlP34VqBnwIcEurZHo48H1gYypJQ2b+vaNwF0kb3w2tmvIxwLuAD2fmJ/u3i1p05HHUSnljpU1F/2dEvBp4c1Sfw62An2Tmx/u2WyIz74iIpTLztpZcOgN4tcmlkXEbcA3w96heW6+iKvc2pt7LB1CJ422B8zLzsm7CXDwiYmPgIOAOaopgRsTqmfk3ajXIqcnUk6meYyaXBmAPJknqSFQj5HOpRsjvjFqxYkdqDvwPMvOLnQY4zcZ5vFNOzJ5DNeZ/MdUMeAngae1AfU/ge5n5q+6iHd6kjVcad1Pe0/fPzF9HxIuAlwF/pap4LqcqHw7ItqLeKGmJlVvb37ehVq09jZom9MXMPD4i1qVOvg8BXpNtVa1xEbVi3pupJNGVEbEl8GngD5n55L7tHkn1oTq+VXOtCJxIrex6XgehaxFFxEuZ0//wTOBrWY35vwZclJlv7jTAGTalPQMR8WBqKujjqJ5UR1Hv+V8Cr8rM/9cql76Cr/dFssSCN5EkTYdWmn+nVqX1XmD/iHhUu4LyZeD3wMPbAd3ImpTxRsSafSdmW1PVWbdSVTx3Bd7Wki07U1cP/9VZsNNg0sYrTYK+9/QrgKPb5/EJwJ7ALpn5RuBa4EGM4AyIllg5OiI2a3d9E1gR2AT4DLBbRGxHJdHuA+yXmV+f+j02yqIaen+B6pH3L4DMPAvYA1ghInZr2z0e+DxweUsurUBNn/NkewTM5djro8DTgGdk5p5AL2n6LeDf4/Qan6qXXIqIrSPidRFxENVX7STgc9RU2ddQize8qSWXlgW+BLzV1/uisYJJkhaDKVeH+xshXwzsBLwE6DVCXgkgM6/rKt5hTcp425S/g6i+BetS0wfe1HoPPYg6OVufKsfeAHhBjvDqU5M2XmmSRMQuVOPb7TLzbxFxT+AfmfmPqMUXXg3sNIrv6dYz6myq2vJI6jPqTGop9mOBTYF9gXdn5mkdhTljolaA+zpVqXVU3/S3NVsl06bUqr4/oE0dzLY0e9QKoPfNzJ90NgANLKqH2ibUBaAvZubZfY/tQr2fd87MS7qJcPGIiC2AD1GLFGwDrEOtbntNRBxPLShz/ZR/s15m/mHxRzseRu4KhCSNor5ky0Q0Qp6E8UbEtsDrqfn5f4uIm4BPAAdGxEmZ+cuIOJTqMbUm8MfM/EuHIQ9l0sYrTaAlqM/prVq/lhcCX4uILwG3A88Z1emumfndlmQ6A/gL1dz3OGpJ9rOo76glqL4sY6VNR78V+AlwXuuNt19EPBx4akS8BzgGeAtV1bFPX3Jpqaxl2k0ujZCoFR73oqZDrg98NSKen5mnR8QbgWcDu45jcmnqlDiqv9gxrc/aJyPiI8DJEbE5sBywfkRc2CqdeivGmVwaggkmSZpBUyp5xr4R8qSMNyJWAU4FdmwHbOtTB3Kvor5bT4yI57YEy9XUNMCRNWnjlSZJRLyAqjD9ObWU+T2BI6hK0xdSVUyf6S7C6ZGZ50Utz344tUT7ycBTgRVbU98vZ+ZtnQY5zdrUwA9Ty9Cv+P/bu/cou6vqgOPfHSCB8ArIQ9cCBItEKIG6LJpYKfIoryohAsuFLRJQAYMtINIijwJGa5VXS0AF2hJsQmUVIREIL6FGSkFKNPJoKYuHCKWQBCGgPIRk949zBi+3iUxyZ/LLvff7WSvrzvzumck+MyuZufu39z6Uoc57AfdTKrqup8yheSQzZ0fE9pn57MDP8l77evSqtt+91gZGAd/IzJvqtaeAL0fEv1O+55dn5pONBTxM6t53Bn5UW0LXBBYC6w2sycxja+XSOsCkgbls9bmlqzjknmSCSZKGSdsP/IFByAsiYg7lTuk++eZByJc2GG7H+mm/tbT6o8DUiHiU8oLl2nr9ZOBM4JaI2CMzn2ky1qHQb/uV+sx2lATE7pk5OSLWycyXI2J/yuD+l5sNb+hkObX2C5Rk2vjMvDsi1qrP9VQypb7AnkE5WOP2iLgX2JWSTJwBLM3MVyJiHOVkMSgnjr1Rhazu0PK711GUQfzPUb6n0+vzs6Kc1rxWt1aND9JGwPgos+R2orS+3glcHBH3UZKq2wFjKQnXXzYUZ08zwSRJw2BgrkF9e2AQ8kAVz/sprWKtg5BvbSzYIdBv+wXIzOsjYgkwn7K/81vmWpxJaUlYp9Egh1C/7VfqNe2tIxGxdma+kplnRsQrlCTxpMx8MCIOB44DDs/MnzcW9DBo+b/soYh4T20B6ym1cuk6YP3MvAKgzpm5rm3dhyht7EfVNSaWulRETKAM855U270ejIhvUJLHewPj6NHX/hHxLkrF/FUREcDBlCqtRcCiiDidciLmgZQKp1N7sYJrdeGQb0kaYtFng5D7bb/takJtGvCBzFxcZ1b01J3wVv22X6lXRMSozHy1vr0PsC9lmPOCeu004GP1zxKAzHyioXCHXf3Z9avW4ce9ICLeQfk5fBbwAcpx7AdnOSFr4FStLYE/qGs+PzBzSd2ptrGfQ7mhd1hm/iQi1qPMGXuKcvrjMZn5QINhDouaTL2SchrkhcC6wMcpw7xfA86vv6vsCCwANsjMh5cxq0lDxASTJA2hKIOQTwW+UmfVjAZOA/4EeH/9BW8TemQQcr/td3kiYj9K29iEzPxF0/EMt37br9TtImJvykyl+cDdlOO5Z9a3L8wyuH8L4HuUtpHdM3NJU/GuSr30QrO2xe0F3J+Zc+u1bwG/S5mht7BeGwUcAjxe2+d65mvQb2qidB4lsXIyZQbi1Zn533XmJcDozOzKmZe/Tf0/azYliTQjItYY+H8rIj4MTKQkleYBewJTM9O2uGFmgkmShki9g7SI8kvcrLZByCdT7hYe0isJln7b71uJiImUSq7fp3Qa9PQP2H7br9St6o2Asyh3+DcDtqIM816fcuDCfOASSqXLWMqJS7aPdJmI2A64GjgnM6e3vdj+JmWe1qTaNtRTibV+0jbvchQwldL2dRjl3/dnKFVLs7NLT30crFqVdExmfq6+fyClimsM8HeUUyIPACYBx2bmdcv7XBo6JpgkaQjVO0lTgcn8ZhDy+RExgjII+SCgZwYh99t+30pErNdPd8f6bb9St2m5ETAxM6+td/z/Grg4M++oFaZfBUYCHwL+uNdflPaiiNiBUpF2Vr3hMwLYMjMfb1lzIfBByoEbCxsKVUOs/hs+FtgFOALYHDiBclLgtF5uYY+I91IGmX8JOAZYTBlw/jZKAn3/zHwtIrbMzCdMqq4aJpgkaYjVu8VzKIOQ/6ZlEPIISjvZP2XmzxoNcgj1234lqZvUGwFfp7S0vhDlZM/RwH2U1pG5wEvAkoHqFnWXOqz7h5k5or5/A3BLZp7XVsl0CXBZZt7ZYLhaCRHxPsopcHdFxKHAuMw8pT63MXAi5YS0YyhJpmf74eZeRBxBmTU2EjgbeLDOGbsNOCkz5zUaYB8ywSRJw6DfBiH3234lqZvUuWkXADdSBv5eDGxMaaeZD5yQmS82F6E6Vb/HFwGPAHdk5pktz72RZFL3qd/bLwNHZOa9dSTBHGBGZk6ta3ajVJI/AHwyM5c2FvAwahlUvwPwIvBye2I8IsZT2n4nZeYjTcTZz0wwSdIw6bdByP22X6cTM9UAAAiZSURBVEnqJhGxF3Az8I6ByoZaabqxlUu9ISL2pCQRR9YX4W+cHKjuVKvET6e0P94cEZsBL1DmLc0BrszMqRFxCPB7wEW9Pvuyfk3OBv6DUr30F5l5fURsBYwDvgac7MylZphgkqRh1G+DkPttv5LUTeqNgHPoo9l4/SYi9qcMOJ6QmYusKO5eyzlM5XLgjMy8NSK2AWYAPwfGA/v1+gy1+jX5PqXqcm5EfITyNfko8ARlHtNVNeHkzKUGmGCSpGHWb4OQ+22/ktRNWm8E9GobTb+LiH0opwa+JzOfazoerby2w1TOBW7MzHMH2h4jYj3KUOvX+qByaTylLe544MTMfKFePx7YPDO/GBFjMvN5k0vNGdF0AJLU6/ot2dJv+5WkbpKZs4E/NLnUuzLzJuBIyvH16mKZeT1wCmVW2q1tyaX9KYnix/sgubQLpfVtHWBLymmYA54HNqhvL4ZSQr9KA9QbrGCSJEmSpB5kJUdvaDlMZXyt0JkMTAE+npmPNRrcMIuI7YCTgIcy8+yI2AC4E/gx8FPgMOAvM/PGBsNUZQWTJEmSJPUgk0u9ITNvAU4Abo+IzwKfopwq1+vJpbWAtYAxwG4RsUNtjdsFmAe8Cnw+M2+MiGgwVFVWMEmSJEmStJqrQ62vBt6bmQ80Hc9wqkPNp1HaPdcFjgOeAq7OzIeajE3LZwWTJEmSJEmrucy8DhjTq8mliGjNTywG7gW+RRnufQmwGfCJiNi2gfA0CCaYJEmSJEnqApn5UtMxDLWIGA2QmUsj4l317UXA2cBPgH+gVC99G9gEsA1rNWWLnCRJkiRJWuUiYixwLPB14BeU2UrXZOYp9flNKa1yGwJ/CrzqicWrLyuYJEmSJEnSKlVPiPsOMD8zn6zVWfsC+0XE6QCZuRC4hzLQe2uTS6u3NZsOQJIkSZIk9Y+I2AGYCZyVmbMiYg1gSmZOi4iDgFkRMQp4EDgA+Gyvzp7qJVYwSZIkSZKkVWljYOfMnFXfvxHYCiAzH6UklUZTKprOM7nUHZzBJEmSJEmSVqmI2A+4CHgU+GFmfqnluRF16PfAY6TJi9WeCSZJkiRJkrTKRcSewE3AyMxcWq9NoAz+/kJmPt1kfFoxtshJkiRJkqRVLjNvpbTDPQQQEe8GLgauMLnUfRzyLUmSJEmSGpGZcyJiaUS8BDxGqVy6oem4tOJskZMkSZIkSY2q7XIbZOY1TceilWOCSZIkSZIkrRYc6N29TDBJkiRJkiSpIw75liRJkiRJUkdMMEmSJEmSJKkjJpgkSZIkSZLUERNMkiRJkiRJ6ogJJkmSpDYRcWpEZP0ztul4liciJtcYJzcdiyRJ6m8mmCRJklpERACfAgaO2v1Mg+FIkiR1BRNMkiRJb7Y3sA1wOfAMcHhEjGw2JEmSpNWbCSZJkqQ3G6hYuhSYCWwCTGpfFBHrR8TpEXF/RLwQES9GxCMRcWVEvK9t7QERcWtE/G9EvBoRT0XE3IiYsozPu3FEfDUi/isiXo6IxfVj925b9wPgsvruZS0tfRkRW69ojJIkSZ2IzHzrVZIkSX0gIjYHngAey8yxEbEjcB9wW2bu2bIugH8DPgjcCdwFvA5sCXwY+EpmXljXHgVcDDwNXAssAjYDdqL8LrZLy+d9J/ADYGvgdmAesC7wEeDtwNGZeWldOxk4EJgIzAbmt2zlb4HFg41RkiSpU2s2HYAkSdJq5AhgLWA6QGbeHxE/BnaPiG0z8+G6bkdK4mZWZr6puikiRgAbtlw6Gvg1sHNmLmhbu0nb33858E7g0Mz8Tsu6MZTE0wUR8b3MfCYzp5c8FxNrHNPbPve4FYhRkiSpI7bISZIk8UZV0qeBpcC3W56aDgw81+7l9guZuTQzn2u7/Drw2jLWLmr5+3cGdgO+25pcquueB84A1gYOGsR2ViZGSZKklWYFkyRJUrEH8DvATZn5Py3XrwDOASZHxOmZ+Rrwn5SWtENrW9tsSjvaPZn567bPOxM4F3ggIq4E5gJ3ZObCtnUT6uOGEXHmMuLbtD5uP8j9rEiMkiRJHTHBJEmSVBxVH6e3XszMZyPiWkrl0ETgqsxcEhF7AH8FHAx8rS5/MSIuB76Ymb+sH39eRCwCpgB/DhwPZETMBU7KzHvqx76tPv5R/bM86w1mMysSoyRJUqcc8i1JkvpeRGwKPAmMfIult2Tm3u0XI2JbSnvb0cAuwIzMPGwZ68ZQ5iJNAo4Enge2z8wFEfE5YBpwXGZeMMi4J1NOkjuifQbTysYoSZK0MqxgkiRJgsMpyaV5vPk0tlYHAHtFxDaZ+VjrE3X498MRcQWwgFLp9P/UWUpzgDl10PaRwK7AdymnvFHfH1SCCVhSH9d4q4WDjVGSJGllmGCSJEn6zQDvKZl597IWRMRU4DTg0xHx98DozHygbdlGwCjguZaP2xf4fma+3rZ2s/r4EkBm3hMRtwMfi4gjM/MflxHDOOCZltPonq2PWy1j7TaDjVGSJKlTtshJkqS+FhEfBv4VuC8zd/ot67YGHgWepsxS+hdKxdP9wFOUIdwT6+OJmXle/bjngVcoA7Z/RjmRbldKm9o8YEIdHE5EbAHcBrwb+CnwI0ob3RbATsCOdf1ddf1GlNa+1ykn3z1Tw50G7A5cM5gYJUmSOmWCSZIk9bWImAl8gkHMPoqImykDuD9JOc1tN8rJcxsBC4H7gAsy84aWjzkG2AfYGXg7Jdn0OPDPwDcz88W2v2N94M8oQ8XHUtrfnqacCjcbmJmZv2pZvy9wBjAOWLde3oaSdJoymBglSZI6ZYJJkiRJkiRJHRnRdACSJEmSJEnqbiaYJEmSJEmS1BETTJIkSZIkSeqICSZJkiRJkiR1xASTJEmSJEmSOmKCSZIkSZIkSR0xwSRJkiRJkqSOmGCSJEmSJElSR0wwSZIkSZIkqSMmmCRJkiRJktSR/wNlTIK8jyQNRgAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 1440x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "# Comparing different linkage methods\n",
        "single_linkage_weights = hrp_single.weights\n",
        "complete_linkage_weights = hrp_complete.weights[single_linkage_weights.columns]\n",
        "average_linkage_weights = hrp_average.weights[single_linkage_weights.columns]\n",
        "ward_linkage_weights = hrp_ward.weights[single_linkage_weights.columns]\n",
        "\n",
        "x = np.arange(len(single_linkage_weights.columns))\n",
        "bar_width = 0.2\n",
        "\n",
        "plt.figure(figsize=(20,7))\n",
        "plt.bar(x, single_linkage_weights.values[0], color='blue', width=bar_width, zorder=2)\n",
        "plt.bar(x + bar_width, complete_linkage_weights.values[0], color='red', width=bar_width, zorder=2)\n",
        "plt.bar(x + bar_width*2, average_linkage_weights.values[0], color='purple', width=bar_width, zorder=2)\n",
        "plt.bar(x + bar_width*3, ward_linkage_weights.values[0], color='pink', width=bar_width, zorder=2)\n",
        "\n",
        "plt.xticks(x + bar_width, single_linkage_weights, rotation=45, size=10)\n",
        "plt.title('Comparison of HRP Linkage Algorithms', size=18)\n",
        "plt.xlabel('Assets', size=20)\n",
        "plt.ylabel('Asset Weights', size=20)\n",
        "\n",
        "blue_patch = mpatches.Patch(color='blue', label='Single Linkage')\n",
        "red_patch = mpatches.Patch(color='red', label='Complete Linkage')\n",
        "purple_patch = mpatches.Patch(color='purple', label='Average Linkage')\n",
        "pink_patch = mpatches.Patch(color='pink', label='Ward Linkage')\n",
        "plt.legend(handles=[blue_patch, red_patch, purple_patch, pink_patch], loc='upper left', prop={'size': 13})\n",
        "\n",
        "plt.grid(axis='y')\n",
        "\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "m_RVFISRIwtr"
      },
      "source": [
        "## Custom Input from Users\n",
        "\n",
        "PortfolioLab also provides users with a lot of customizability when it comes to creating their optimal portfolios. Instead of providing the raw historical closing prices for assets, users can instead input asset returns, a covariance matrix of asset returns, a distance matrix, and side weights.\n",
        "\n",
        "In this section, we will make use of the following parameters in the allocate() method to construct a custom use case:\n",
        "1. asset_returns – (pd.Dataframe/numpy matrix) User supplied matrix of asset returns\n",
        "2. covariance_matrix – (pd.Dataframe/numpy matrix) User supplied covariance matrix of asset returns\n",
        "3. side_weights – (pd.Series/numpy matrix) With asset_names in index and value 1 for Buy, -1 for Sell (default 1 for all)\n",
        "\n",
        "We will be constructing our first custom portfolio using the asset_returns and covariance_matrix parameters. We will then work with the side_weights parameter to construct a Long/Short portfolio.\n",
        "\n",
        "To make some of the necessary calculations, we will make use of the ReturnsEstimators class provided by PortfolioLab."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "6UltaPqZIwts",
        "outputId": "4aaf7462-0723-49ac-fc3d-3bf03e6d0fbe"
      },
      "outputs": [
        {
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
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              "\n",
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              "    }\n",
              "\n",
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              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>FTSE</th>\n",
              "      <th>EuroStoxx50</th>\n",
              "      <th>SP500</th>\n",
              "      <th>Gold</th>\n",
              "      <th>French-2Y</th>\n",
              "      <th>French-5Y</th>\n",
              "      <th>French-10Y</th>\n",
              "      <th>French-30Y</th>\n",
              "      <th>US-2Y</th>\n",
              "      <th>US-5Y</th>\n",
              "      <th>US-10Y</th>\n",
              "      <th>US-30Y</th>\n",
              "      <th>Russel2000</th>\n",
              "      <th>EuroStox_Small</th>\n",
              "      <th>FTSE_Small</th>\n",
              "      <th>MSCI_EM</th>\n",
              "      <th>CRB</th>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Dates</th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>1989-02-02</th>\n",
              "      <td>0.001814</td>\n",
              "      <td>0.002981</td>\n",
              "      <td>-0.000841</td>\n",
              "      <td>-0.001274</td>\n",
              "      <td>-0.001847</td>\n",
              "      <td>0.000788</td>\n",
              "      <td>-0.002953</td>\n",
              "      <td>-0.003080</td>\n",
              "      <td>-0.000310</td>\n",
              "      <td>-0.000309</td>\n",
              "      <td>-0.000623</td>\n",
              "      <td>-0.000304</td>\n",
              "      <td>0.003627</td>\n",
              "      <td>0.001617</td>\n",
              "      <td>0.003892</td>\n",
              "      <td>0.010989</td>\n",
              "      <td>0.001256</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1989-02-03</th>\n",
              "      <td>0.012969</td>\n",
              "      <td>0.006844</td>\n",
              "      <td>0.000438</td>\n",
              "      <td>-0.008291</td>\n",
              "      <td>0.000091</td>\n",
              "      <td>-0.001160</td>\n",
              "      <td>-0.001340</td>\n",
              "      <td>-0.005156</td>\n",
              "      <td>-0.001880</td>\n",
              "      <td>-0.002512</td>\n",
              "      <td>-0.000950</td>\n",
              "      <td>-0.001835</td>\n",
              "      <td>0.004841</td>\n",
              "      <td>0.007902</td>\n",
              "      <td>0.009842</td>\n",
              "      <td>0.015416</td>\n",
              "      <td>-0.004878</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1989-02-06</th>\n",
              "      <td>-0.012368</td>\n",
              "      <td>0.001584</td>\n",
              "      <td>-0.003132</td>\n",
              "      <td>-0.001929</td>\n",
              "      <td>-0.004277</td>\n",
              "      <td>-0.005050</td>\n",
              "      <td>-0.006405</td>\n",
              "      <td>-0.014509</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>-0.001258</td>\n",
              "      <td>-0.002458</td>\n",
              "      <td>-0.000707</td>\n",
              "      <td>0.002276</td>\n",
              "      <td>-0.001356</td>\n",
              "      <td>-0.000707</td>\n",
              "      <td>-0.003291</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1989-02-07</th>\n",
              "      <td>0.013941</td>\n",
              "      <td>-0.001886</td>\n",
              "      <td>0.012127</td>\n",
              "      <td>0.012242</td>\n",
              "      <td>-0.000467</td>\n",
              "      <td>-0.001929</td>\n",
              "      <td>-0.002213</td>\n",
              "      <td>-0.000522</td>\n",
              "      <td>0.000942</td>\n",
              "      <td>0.001889</td>\n",
              "      <td>0.003472</td>\n",
              "      <td>0.006150</td>\n",
              "      <td>0.008099</td>\n",
              "      <td>-0.005131</td>\n",
              "      <td>0.003561</td>\n",
              "      <td>-0.000898</td>\n",
              "      <td>-0.001686</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1989-02-08</th>\n",
              "      <td>0.011289</td>\n",
              "      <td>0.009040</td>\n",
              "      <td>-0.003271</td>\n",
              "      <td>-0.005729</td>\n",
              "      <td>0.001219</td>\n",
              "      <td>0.003519</td>\n",
              "      <td>0.004721</td>\n",
              "      <td>0.002099</td>\n",
              "      <td>-0.000941</td>\n",
              "      <td>-0.000948</td>\n",
              "      <td>-0.001266</td>\n",
              "      <td>-0.004280</td>\n",
              "      <td>0.001020</td>\n",
              "      <td>0.003805</td>\n",
              "      <td>0.011481</td>\n",
              "      <td>0.000825</td>\n",
              "      <td>0.000598</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "                FTSE  EuroStoxx50     SP500      Gold  French-2Y  French-5Y  \\\n",
              "Dates                                                                         \n",
              "1989-02-02  0.001814     0.002981 -0.000841 -0.001274  -0.001847   0.000788   \n",
              "1989-02-03  0.012969     0.006844  0.000438 -0.008291   0.000091  -0.001160   \n",
              "1989-02-06 -0.012368     0.001584 -0.003132 -0.001929  -0.004277  -0.005050   \n",
              "1989-02-07  0.013941    -0.001886  0.012127  0.012242  -0.000467  -0.001929   \n",
              "1989-02-08  0.011289     0.009040 -0.003271 -0.005729   0.001219   0.003519   \n",
              "\n",
              "            French-10Y  French-30Y     US-2Y     US-5Y    US-10Y    US-30Y  \\\n",
              "Dates                                                                        \n",
              "1989-02-02   -0.002953   -0.003080 -0.000310 -0.000309 -0.000623 -0.000304   \n",
              "1989-02-03   -0.001340   -0.005156 -0.001880 -0.002512 -0.000950 -0.001835   \n",
              "1989-02-06   -0.006405   -0.014509  0.000000  0.000000 -0.001258 -0.002458   \n",
              "1989-02-07   -0.002213   -0.000522  0.000942  0.001889  0.003472  0.006150   \n",
              "1989-02-08    0.004721    0.002099 -0.000941 -0.000948 -0.001266 -0.004280   \n",
              "\n",
              "            Russel2000  EuroStox_Small  FTSE_Small   MSCI_EM       CRB  \n",
              "Dates                                                                   \n",
              "1989-02-02    0.003627        0.001617    0.003892  0.010989  0.001256  \n",
              "1989-02-03    0.004841        0.007902    0.009842  0.015416 -0.004878  \n",
              "1989-02-06   -0.000707        0.002276   -0.001356 -0.000707 -0.003291  \n",
              "1989-02-07    0.008099       -0.005131    0.003561 -0.000898 -0.001686  \n",
              "1989-02-08    0.001020        0.003805    0.011481  0.000825  0.000598  "
            ]
          },
          "execution_count": 16,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "# Calculating our asset returns\n",
        "returns = ReturnsEstimators.calculate_returns(stock_prices)\n",
        "returns.head()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "ULW18Hm9Iwts",
        "outputId": "906e2b60-2323-4822-862f-6eba4491cc41"
      },
      "outputs": [
        {
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>FTSE</th>\n",
              "      <th>EuroStoxx50</th>\n",
              "      <th>SP500</th>\n",
              "      <th>Gold</th>\n",
              "      <th>French-2Y</th>\n",
              "      <th>French-5Y</th>\n",
              "      <th>French-10Y</th>\n",
              "      <th>French-30Y</th>\n",
              "      <th>US-2Y</th>\n",
              "      <th>US-5Y</th>\n",
              "      <th>US-10Y</th>\n",
              "      <th>US-30Y</th>\n",
              "      <th>Russel2000</th>\n",
              "      <th>EuroStox_Small</th>\n",
              "      <th>FTSE_Small</th>\n",
              "      <th>MSCI_EM</th>\n",
              "      <th>CRB</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>FTSE</th>\n",
              "      <td>1.146945e-04</td>\n",
              "      <td>0.000116</td>\n",
              "      <td>5.643606e-05</td>\n",
              "      <td>-3.081248e-06</td>\n",
              "      <td>-8.832561e-07</td>\n",
              "      <td>-2.423788e-06</td>\n",
              "      <td>-3.877263e-06</td>\n",
              "      <td>-0.000007</td>\n",
              "      <td>-1.684947e-06</td>\n",
              "      <td>-5.204467e-06</td>\n",
              "      <td>-0.000009</td>\n",
              "      <td>-0.000017</td>\n",
              "      <td>6.135381e-05</td>\n",
              "      <td>8.225258e-05</td>\n",
              "      <td>4.439900e-05</td>\n",
              "      <td>6.415264e-05</td>\n",
              "      <td>7.666681e-06</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>EuroStoxx50</th>\n",
              "      <td>1.156055e-04</td>\n",
              "      <td>0.000171</td>\n",
              "      <td>7.300403e-05</td>\n",
              "      <td>-8.984117e-06</td>\n",
              "      <td>-1.007815e-06</td>\n",
              "      <td>-3.028229e-06</td>\n",
              "      <td>-4.756979e-06</td>\n",
              "      <td>-0.000009</td>\n",
              "      <td>-2.485549e-06</td>\n",
              "      <td>-7.711391e-06</td>\n",
              "      <td>-0.000013</td>\n",
              "      <td>-0.000025</td>\n",
              "      <td>8.212584e-05</td>\n",
              "      <td>1.151939e-04</td>\n",
              "      <td>5.028051e-05</td>\n",
              "      <td>7.834393e-05</td>\n",
              "      <td>8.579117e-06</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>SP500</th>\n",
              "      <td>5.643606e-05</td>\n",
              "      <td>0.000073</td>\n",
              "      <td>1.166470e-04</td>\n",
              "      <td>-5.160036e-06</td>\n",
              "      <td>-7.911315e-07</td>\n",
              "      <td>-2.029786e-06</td>\n",
              "      <td>-3.471091e-06</td>\n",
              "      <td>-0.000006</td>\n",
              "      <td>-1.831687e-06</td>\n",
              "      <td>-5.366541e-06</td>\n",
              "      <td>-0.000009</td>\n",
              "      <td>-0.000017</td>\n",
              "      <td>1.169106e-04</td>\n",
              "      <td>5.176979e-05</td>\n",
              "      <td>2.052664e-05</td>\n",
              "      <td>4.920214e-05</td>\n",
              "      <td>5.734262e-06</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Gold</th>\n",
              "      <td>-3.081248e-06</td>\n",
              "      <td>-0.000009</td>\n",
              "      <td>-5.160036e-06</td>\n",
              "      <td>9.391228e-05</td>\n",
              "      <td>5.410605e-07</td>\n",
              "      <td>1.476888e-06</td>\n",
              "      <td>2.321374e-06</td>\n",
              "      <td>0.000003</td>\n",
              "      <td>4.275486e-07</td>\n",
              "      <td>1.104387e-06</td>\n",
              "      <td>0.000001</td>\n",
              "      <td>0.000002</td>\n",
              "      <td>-3.318860e-06</td>\n",
              "      <td>-2.983680e-06</td>\n",
              "      <td>5.254349e-07</td>\n",
              "      <td>1.190630e-05</td>\n",
              "      <td>6.521527e-06</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>French-2Y</th>\n",
              "      <td>-8.832561e-07</td>\n",
              "      <td>-0.000001</td>\n",
              "      <td>-7.911315e-07</td>\n",
              "      <td>5.410605e-07</td>\n",
              "      <td>7.601231e-07</td>\n",
              "      <td>1.489883e-06</td>\n",
              "      <td>1.898718e-06</td>\n",
              "      <td>0.000003</td>\n",
              "      <td>2.531965e-07</td>\n",
              "      <td>6.484230e-07</td>\n",
              "      <td>0.000001</td>\n",
              "      <td>0.000002</td>\n",
              "      <td>-9.470974e-07</td>\n",
              "      <td>-7.577931e-07</td>\n",
              "      <td>-6.162087e-07</td>\n",
              "      <td>-9.918712e-07</td>\n",
              "      <td>-1.887774e-07</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>French-5Y</th>\n",
              "      <td>-2.423788e-06</td>\n",
              "      <td>-0.000003</td>\n",
              "      <td>-2.029786e-06</td>\n",
              "      <td>1.476888e-06</td>\n",
              "      <td>1.489883e-06</td>\n",
              "      <td>4.078881e-06</td>\n",
              "      <td>5.636027e-06</td>\n",
              "      <td>0.000009</td>\n",
              "      <td>6.932479e-07</td>\n",
              "      <td>1.962122e-06</td>\n",
              "      <td>0.000003</td>\n",
              "      <td>0.000005</td>\n",
              "      <td>-2.710612e-06</td>\n",
              "      <td>-2.274587e-06</td>\n",
              "      <td>-1.463102e-06</td>\n",
              "      <td>-2.348135e-06</td>\n",
              "      <td>-5.283503e-07</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>French-10Y</th>\n",
              "      <td>-3.877263e-06</td>\n",
              "      <td>-0.000005</td>\n",
              "      <td>-3.471091e-06</td>\n",
              "      <td>2.321374e-06</td>\n",
              "      <td>1.898718e-06</td>\n",
              "      <td>5.636027e-06</td>\n",
              "      <td>1.277570e-05</td>\n",
              "      <td>0.000019</td>\n",
              "      <td>1.087356e-06</td>\n",
              "      <td>3.382581e-06</td>\n",
              "      <td>0.000006</td>\n",
              "      <td>0.000011</td>\n",
              "      <td>-4.211428e-06</td>\n",
              "      <td>-3.527256e-06</td>\n",
              "      <td>-1.842464e-06</td>\n",
              "      <td>-3.291552e-06</td>\n",
              "      <td>-8.256807e-07</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>French-30Y</th>\n",
              "      <td>-7.056356e-06</td>\n",
              "      <td>-0.000009</td>\n",
              "      <td>-6.099633e-06</td>\n",
              "      <td>3.174908e-06</td>\n",
              "      <td>2.821258e-06</td>\n",
              "      <td>9.019102e-06</td>\n",
              "      <td>1.901961e-05</td>\n",
              "      <td>0.000048</td>\n",
              "      <td>1.680413e-06</td>\n",
              "      <td>5.734125e-06</td>\n",
              "      <td>0.000011</td>\n",
              "      <td>0.000021</td>\n",
              "      <td>-8.772903e-06</td>\n",
              "      <td>-7.540945e-06</td>\n",
              "      <td>-4.252162e-06</td>\n",
              "      <td>-5.835942e-06</td>\n",
              "      <td>-1.919975e-06</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>US-2Y</th>\n",
              "      <td>-1.684947e-06</td>\n",
              "      <td>-0.000002</td>\n",
              "      <td>-1.831687e-06</td>\n",
              "      <td>4.275486e-07</td>\n",
              "      <td>2.531965e-07</td>\n",
              "      <td>6.932479e-07</td>\n",
              "      <td>1.087356e-06</td>\n",
              "      <td>0.000002</td>\n",
              "      <td>1.013660e-06</td>\n",
              "      <td>2.378533e-06</td>\n",
              "      <td>0.000004</td>\n",
              "      <td>0.000005</td>\n",
              "      <td>-2.342607e-06</td>\n",
              "      <td>-1.776541e-06</td>\n",
              "      <td>-8.056344e-07</td>\n",
              "      <td>-1.494199e-06</td>\n",
              "      <td>-2.967647e-07</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>US-5Y</th>\n",
              "      <td>-5.204467e-06</td>\n",
              "      <td>-0.000008</td>\n",
              "      <td>-5.366541e-06</td>\n",
              "      <td>1.104387e-06</td>\n",
              "      <td>6.484230e-07</td>\n",
              "      <td>1.962122e-06</td>\n",
              "      <td>3.382581e-06</td>\n",
              "      <td>0.000006</td>\n",
              "      <td>2.378533e-06</td>\n",
              "      <td>6.964215e-06</td>\n",
              "      <td>0.000011</td>\n",
              "      <td>0.000017</td>\n",
              "      <td>-7.260984e-06</td>\n",
              "      <td>-5.806622e-06</td>\n",
              "      <td>-2.472951e-06</td>\n",
              "      <td>-4.365090e-06</td>\n",
              "      <td>-1.045403e-06</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>US-10Y</th>\n",
              "      <td>-8.871253e-06</td>\n",
              "      <td>-0.000013</td>\n",
              "      <td>-8.873862e-06</td>\n",
              "      <td>1.474447e-06</td>\n",
              "      <td>1.021093e-06</td>\n",
              "      <td>3.312250e-06</td>\n",
              "      <td>6.182372e-06</td>\n",
              "      <td>0.000011</td>\n",
              "      <td>3.507931e-06</td>\n",
              "      <td>1.110897e-05</td>\n",
              "      <td>0.000020</td>\n",
              "      <td>0.000033</td>\n",
              "      <td>-1.266648e-05</td>\n",
              "      <td>-1.041040e-05</td>\n",
              "      <td>-4.390510e-06</td>\n",
              "      <td>-7.408970e-06</td>\n",
              "      <td>-1.898038e-06</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>US-30Y</th>\n",
              "      <td>-1.656346e-05</td>\n",
              "      <td>-0.000025</td>\n",
              "      <td>-1.654380e-05</td>\n",
              "      <td>1.685619e-06</td>\n",
              "      <td>1.537965e-06</td>\n",
              "      <td>5.323585e-06</td>\n",
              "      <td>1.070338e-05</td>\n",
              "      <td>0.000021</td>\n",
              "      <td>4.923400e-06</td>\n",
              "      <td>1.698166e-05</td>\n",
              "      <td>0.000033</td>\n",
              "      <td>0.000063</td>\n",
              "      <td>-2.341776e-05</td>\n",
              "      <td>-1.938087e-05</td>\n",
              "      <td>-8.154762e-06</td>\n",
              "      <td>-1.362585e-05</td>\n",
              "      <td>-3.937092e-06</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Russel2000</th>\n",
              "      <td>6.135381e-05</td>\n",
              "      <td>0.000082</td>\n",
              "      <td>1.169106e-04</td>\n",
              "      <td>-3.318860e-06</td>\n",
              "      <td>-9.470974e-07</td>\n",
              "      <td>-2.710612e-06</td>\n",
              "      <td>-4.211428e-06</td>\n",
              "      <td>-0.000009</td>\n",
              "      <td>-2.342607e-06</td>\n",
              "      <td>-7.260984e-06</td>\n",
              "      <td>-0.000013</td>\n",
              "      <td>-0.000023</td>\n",
              "      <td>1.585016e-04</td>\n",
              "      <td>6.264931e-05</td>\n",
              "      <td>2.629348e-05</td>\n",
              "      <td>5.763694e-05</td>\n",
              "      <td>6.943163e-06</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>EuroStox_Small</th>\n",
              "      <td>8.225258e-05</td>\n",
              "      <td>0.000115</td>\n",
              "      <td>5.176979e-05</td>\n",
              "      <td>-2.983680e-06</td>\n",
              "      <td>-7.577931e-07</td>\n",
              "      <td>-2.274587e-06</td>\n",
              "      <td>-3.527256e-06</td>\n",
              "      <td>-0.000008</td>\n",
              "      <td>-1.776541e-06</td>\n",
              "      <td>-5.806622e-06</td>\n",
              "      <td>-0.000010</td>\n",
              "      <td>-0.000019</td>\n",
              "      <td>6.264931e-05</td>\n",
              "      <td>1.043372e-04</td>\n",
              "      <td>4.677016e-05</td>\n",
              "      <td>7.067770e-05</td>\n",
              "      <td>8.287795e-06</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>FTSE_Small</th>\n",
              "      <td>4.439900e-05</td>\n",
              "      <td>0.000050</td>\n",
              "      <td>2.052664e-05</td>\n",
              "      <td>5.254349e-07</td>\n",
              "      <td>-6.162087e-07</td>\n",
              "      <td>-1.463102e-06</td>\n",
              "      <td>-1.842464e-06</td>\n",
              "      <td>-0.000004</td>\n",
              "      <td>-8.056344e-07</td>\n",
              "      <td>-2.472951e-06</td>\n",
              "      <td>-0.000004</td>\n",
              "      <td>-0.000008</td>\n",
              "      <td>2.629348e-05</td>\n",
              "      <td>4.677016e-05</td>\n",
              "      <td>4.052613e-05</td>\n",
              "      <td>4.287962e-05</td>\n",
              "      <td>5.093547e-06</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>MSCI_EM</th>\n",
              "      <td>6.415264e-05</td>\n",
              "      <td>0.000078</td>\n",
              "      <td>4.920214e-05</td>\n",
              "      <td>1.190630e-05</td>\n",
              "      <td>-9.918712e-07</td>\n",
              "      <td>-2.348135e-06</td>\n",
              "      <td>-3.291552e-06</td>\n",
              "      <td>-0.000006</td>\n",
              "      <td>-1.494199e-06</td>\n",
              "      <td>-4.365090e-06</td>\n",
              "      <td>-0.000007</td>\n",
              "      <td>-0.000014</td>\n",
              "      <td>5.763694e-05</td>\n",
              "      <td>7.067770e-05</td>\n",
              "      <td>4.287962e-05</td>\n",
              "      <td>1.262376e-04</td>\n",
              "      <td>1.041458e-05</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>CRB</th>\n",
              "      <td>7.666681e-06</td>\n",
              "      <td>0.000009</td>\n",
              "      <td>5.734262e-06</td>\n",
              "      <td>6.521527e-06</td>\n",
              "      <td>-1.887774e-07</td>\n",
              "      <td>-5.283503e-07</td>\n",
              "      <td>-8.256807e-07</td>\n",
              "      <td>-0.000002</td>\n",
              "      <td>-2.967647e-07</td>\n",
              "      <td>-1.045403e-06</td>\n",
              "      <td>-0.000002</td>\n",
              "      <td>-0.000004</td>\n",
              "      <td>6.943163e-06</td>\n",
              "      <td>8.287795e-06</td>\n",
              "      <td>5.093547e-06</td>\n",
              "      <td>1.041458e-05</td>\n",
              "      <td>1.652703e-05</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "                        FTSE  EuroStoxx50         SP500          Gold  \\\n",
              "FTSE            1.146945e-04     0.000116  5.643606e-05 -3.081248e-06   \n",
              "EuroStoxx50     1.156055e-04     0.000171  7.300403e-05 -8.984117e-06   \n",
              "SP500           5.643606e-05     0.000073  1.166470e-04 -5.160036e-06   \n",
              "Gold           -3.081248e-06    -0.000009 -5.160036e-06  9.391228e-05   \n",
              "French-2Y      -8.832561e-07    -0.000001 -7.911315e-07  5.410605e-07   \n",
              "French-5Y      -2.423788e-06    -0.000003 -2.029786e-06  1.476888e-06   \n",
              "French-10Y     -3.877263e-06    -0.000005 -3.471091e-06  2.321374e-06   \n",
              "French-30Y     -7.056356e-06    -0.000009 -6.099633e-06  3.174908e-06   \n",
              "US-2Y          -1.684947e-06    -0.000002 -1.831687e-06  4.275486e-07   \n",
              "US-5Y          -5.204467e-06    -0.000008 -5.366541e-06  1.104387e-06   \n",
              "US-10Y         -8.871253e-06    -0.000013 -8.873862e-06  1.474447e-06   \n",
              "US-30Y         -1.656346e-05    -0.000025 -1.654380e-05  1.685619e-06   \n",
              "Russel2000      6.135381e-05     0.000082  1.169106e-04 -3.318860e-06   \n",
              "EuroStox_Small  8.225258e-05     0.000115  5.176979e-05 -2.983680e-06   \n",
              "FTSE_Small      4.439900e-05     0.000050  2.052664e-05  5.254349e-07   \n",
              "MSCI_EM         6.415264e-05     0.000078  4.920214e-05  1.190630e-05   \n",
              "CRB             7.666681e-06     0.000009  5.734262e-06  6.521527e-06   \n",
              "\n",
              "                   French-2Y     French-5Y    French-10Y  French-30Y  \\\n",
              "FTSE           -8.832561e-07 -2.423788e-06 -3.877263e-06   -0.000007   \n",
              "EuroStoxx50    -1.007815e-06 -3.028229e-06 -4.756979e-06   -0.000009   \n",
              "SP500          -7.911315e-07 -2.029786e-06 -3.471091e-06   -0.000006   \n",
              "Gold            5.410605e-07  1.476888e-06  2.321374e-06    0.000003   \n",
              "French-2Y       7.601231e-07  1.489883e-06  1.898718e-06    0.000003   \n",
              "French-5Y       1.489883e-06  4.078881e-06  5.636027e-06    0.000009   \n",
              "French-10Y      1.898718e-06  5.636027e-06  1.277570e-05    0.000019   \n",
              "French-30Y      2.821258e-06  9.019102e-06  1.901961e-05    0.000048   \n",
              "US-2Y           2.531965e-07  6.932479e-07  1.087356e-06    0.000002   \n",
              "US-5Y           6.484230e-07  1.962122e-06  3.382581e-06    0.000006   \n",
              "US-10Y          1.021093e-06  3.312250e-06  6.182372e-06    0.000011   \n",
              "US-30Y          1.537965e-06  5.323585e-06  1.070338e-05    0.000021   \n",
              "Russel2000     -9.470974e-07 -2.710612e-06 -4.211428e-06   -0.000009   \n",
              "EuroStox_Small -7.577931e-07 -2.274587e-06 -3.527256e-06   -0.000008   \n",
              "FTSE_Small     -6.162087e-07 -1.463102e-06 -1.842464e-06   -0.000004   \n",
              "MSCI_EM        -9.918712e-07 -2.348135e-06 -3.291552e-06   -0.000006   \n",
              "CRB            -1.887774e-07 -5.283503e-07 -8.256807e-07   -0.000002   \n",
              "\n",
              "                       US-2Y         US-5Y    US-10Y    US-30Y    Russel2000  \\\n",
              "FTSE           -1.684947e-06 -5.204467e-06 -0.000009 -0.000017  6.135381e-05   \n",
              "EuroStoxx50    -2.485549e-06 -7.711391e-06 -0.000013 -0.000025  8.212584e-05   \n",
              "SP500          -1.831687e-06 -5.366541e-06 -0.000009 -0.000017  1.169106e-04   \n",
              "Gold            4.275486e-07  1.104387e-06  0.000001  0.000002 -3.318860e-06   \n",
              "French-2Y       2.531965e-07  6.484230e-07  0.000001  0.000002 -9.470974e-07   \n",
              "French-5Y       6.932479e-07  1.962122e-06  0.000003  0.000005 -2.710612e-06   \n",
              "French-10Y      1.087356e-06  3.382581e-06  0.000006  0.000011 -4.211428e-06   \n",
              "French-30Y      1.680413e-06  5.734125e-06  0.000011  0.000021 -8.772903e-06   \n",
              "US-2Y           1.013660e-06  2.378533e-06  0.000004  0.000005 -2.342607e-06   \n",
              "US-5Y           2.378533e-06  6.964215e-06  0.000011  0.000017 -7.260984e-06   \n",
              "US-10Y          3.507931e-06  1.110897e-05  0.000020  0.000033 -1.266648e-05   \n",
              "US-30Y          4.923400e-06  1.698166e-05  0.000033  0.000063 -2.341776e-05   \n",
              "Russel2000     -2.342607e-06 -7.260984e-06 -0.000013 -0.000023  1.585016e-04   \n",
              "EuroStox_Small -1.776541e-06 -5.806622e-06 -0.000010 -0.000019  6.264931e-05   \n",
              "FTSE_Small     -8.056344e-07 -2.472951e-06 -0.000004 -0.000008  2.629348e-05   \n",
              "MSCI_EM        -1.494199e-06 -4.365090e-06 -0.000007 -0.000014  5.763694e-05   \n",
              "CRB            -2.967647e-07 -1.045403e-06 -0.000002 -0.000004  6.943163e-06   \n",
              "\n",
              "                EuroStox_Small    FTSE_Small       MSCI_EM           CRB  \n",
              "FTSE              8.225258e-05  4.439900e-05  6.415264e-05  7.666681e-06  \n",
              "EuroStoxx50       1.151939e-04  5.028051e-05  7.834393e-05  8.579117e-06  \n",
              "SP500             5.176979e-05  2.052664e-05  4.920214e-05  5.734262e-06  \n",
              "Gold             -2.983680e-06  5.254349e-07  1.190630e-05  6.521527e-06  \n",
              "French-2Y        -7.577931e-07 -6.162087e-07 -9.918712e-07 -1.887774e-07  \n",
              "French-5Y        -2.274587e-06 -1.463102e-06 -2.348135e-06 -5.283503e-07  \n",
              "French-10Y       -3.527256e-06 -1.842464e-06 -3.291552e-06 -8.256807e-07  \n",
              "French-30Y       -7.540945e-06 -4.252162e-06 -5.835942e-06 -1.919975e-06  \n",
              "US-2Y            -1.776541e-06 -8.056344e-07 -1.494199e-06 -2.967647e-07  \n",
              "US-5Y            -5.806622e-06 -2.472951e-06 -4.365090e-06 -1.045403e-06  \n",
              "US-10Y           -1.041040e-05 -4.390510e-06 -7.408970e-06 -1.898038e-06  \n",
              "US-30Y           -1.938087e-05 -8.154762e-06 -1.362585e-05 -3.937092e-06  \n",
              "Russel2000        6.264931e-05  2.629348e-05  5.763694e-05  6.943163e-06  \n",
              "EuroStox_Small    1.043372e-04  4.677016e-05  7.067770e-05  8.287795e-06  \n",
              "FTSE_Small        4.677016e-05  4.052613e-05  4.287962e-05  5.093547e-06  \n",
              "MSCI_EM           7.067770e-05  4.287962e-05  1.262376e-04  1.041458e-05  \n",
              "CRB               8.287795e-06  5.093547e-06  1.041458e-05  1.652703e-05  "
            ]
          },
          "execution_count": 17,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "# Calculating our covariance matrix\n",
        "cov = returns.cov()\n",
        "cov"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "hcj_8tKUIwts"
      },
      "source": [
        "### Building our First Custom Portfolio"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "cKnS2n-OIwts",
        "outputId": "26cf7926-2653-40c7-9ad4-7e9466b03b11"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Custom HRP Portfolio Weights\n",
            "       US-2Y    US-30Y     US-5Y    US-10Y  French-30Y  French-10Y  French-2Y  \\\n",
            "0  0.342019  0.005462  0.031405  0.010994    0.007092     0.02637   0.447405   \n",
            "\n",
            "   French-5Y      Gold       CRB     SP500  Russel2000   MSCI_EM  FTSE_Small  \\\n",
            "0   0.083377  0.004831  0.027454  0.002351     0.00173  0.001613    0.005024   \n",
            "\n",
            "       FTSE  EuroStoxx50  EuroStox_Small  \n",
            "0  0.001463     0.000535        0.000875  \n"
          ]
        }
      ],
      "source": [
        "# constructing our first custom portfolio\n",
        "hrp_custom = HierarchicalRiskParity()\n",
        "hrp_custom.allocate(asset_names=stock_prices.columns,\n",
        "                    asset_returns=returns,\n",
        "                    covariance_matrix=cov)\n",
        "print(\"Custom HRP Portfolio Weights\\n\", hrp_custom.weights)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "3S3GNI_yIwts",
        "outputId": "694ec1a2-b540-4dbc-9ab9-786059f7915e"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1800x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "# plotting our optimal portfolio\n",
        "hrp_custom_weights = hrp_custom.weights\n",
        "y_pos = np.arange(len(hrp_custom_weights.columns))\n",
        "\n",
        "plt.figure(figsize=(25,7))\n",
        "plt.bar(list(hrp_custom_weights.columns), hrp_custom_weights.values[0])\n",
        "plt.xticks(y_pos, rotation=45, size=10)\n",
        "plt.xlabel('Assets', size=20)\n",
        "plt.ylabel('Asset Weights', size=20)\n",
        "plt.title('HRP - Custom Portfolio', size=20)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "a5mjQ41dIwtt"
      },
      "source": [
        "### Using a Custom Distance Matrix\n",
        "We can also use our own distance matrix to calculate our optimal portfolio. This distance matrix will be derived directly from the covariance matrix.\n",
        "\n",
        "We can make use of the cov_to_corr() method from the RiskEstimators class to perform some of the necessary calculations."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "PsVWl1IKIwtt"
      },
      "outputs": [],
      "source": [
        "from portfoliolab.estimators import RiskEstimators"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "t4Ug0DOCIwtt"
      },
      "outputs": [],
      "source": [
        "corr = RiskEstimators.cov_to_corr(cov)\n",
        "distance = np.sqrt((1 - corr).round(5) / 2)\n",
        "\n",
        "hrp_distance = HierarchicalRiskParity()\n",
        "hrp_distance.allocate(asset_names=stock_prices.columns,\n",
        "                      distance_matrix=distance, \n",
        "                      covariance_matrix=cov)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "0m2F17oOIwtt",
        "outputId": "15d89615-0f67-4a36-90e7-a3a1febd6744"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1800x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "# plotting our optimal portfolio\n",
        "hrp_distance_weights = hrp_distance.weights\n",
        "y_pos = np.arange(len(hrp_distance_weights.columns))\n",
        "\n",
        "plt.figure(figsize=(25,7))\n",
        "plt.bar(list(hrp_distance_weights.columns), hrp_distance_weights.values[0])\n",
        "plt.xticks(y_pos, rotation=45, size=10)\n",
        "plt.xlabel('Assets', size=20)\n",
        "plt.ylabel('Asset Weights', size=20)\n",
        "plt.title('HRP - Custom Distance Matrix', size=20)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "fiQUWPycIwtu"
      },
      "source": [
        "### Building our Long/Short Portfolio\n",
        "In this example, we will construct our Long/Short portfolio utilizing the side_weights parameter. By shorting the first four stocks in our dataset we can construct our optimal portfolio the same way we constructed it earlier, of course with the addition of the side_weight parameter to indicate which stocks we would like to short and long (-1 indicates shorting a stock and 1 indicates going long on a stock)."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "7ZnC54s1Iwtu",
        "outputId": "7875c9c0-7be7-4238-8cb5-8a07a6f6bda5"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "FTSE             -1\n",
            "EuroStoxx50      -1\n",
            "SP500            -1\n",
            "Gold             -1\n",
            "French-2Y         1\n",
            "French-5Y         1\n",
            "French-10Y        1\n",
            "French-30Y        1\n",
            "US-2Y             1\n",
            "US-5Y             1\n",
            "US-10Y            1\n",
            "US-30Y            1\n",
            "Russel2000        1\n",
            "EuroStox_Small    1\n",
            "FTSE_Small        1\n",
            "MSCI_EM           1\n",
            "CRB               1\n",
            "dtype: int64\n"
          ]
        }
      ],
      "source": [
        "hrp_ls = HierarchicalRiskParity()\n",
        "side_weights = pd.Series([1]*stock_prices.shape[1], index=stock_prices.columns)\n",
        "\n",
        "# short the first 4 stocks\n",
        "side_weights.loc[stock_prices.columns[:4]] = -1\n",
        "\n",
        "hrp_ls.allocate(asset_names=stock_prices.columns,\n",
        "                asset_prices=stock_prices,\n",
        "                side_weights=side_weights)\n",
        "\n",
        "print(side_weights)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "QmSkMCqEIwtu",
        "outputId": "b1f1b485-66f1-489f-da9b-91cca2e8cc71"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1800x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "# plotting our optimal portfolio\n",
        "hrp_ls_weights = hrp_ls.weights\n",
        "y_pos = np.arange(len(hrp_ls_weights.columns))\n",
        "\n",
        "plt.figure(figsize=(25,7))\n",
        "plt.bar(list(hrp_ls_weights.columns), hrp_ls_weights.values[0])\n",
        "plt.xticks(y_pos, rotation=45, size=10)\n",
        "plt.xlabel('Assets', size=20)\n",
        "plt.ylabel('Asset Weights', size=20)\n",
        "plt.title('HRP - Long/Short Portfolio', size=20)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Bgp7bqIoIwtv"
      },
      "source": [
        "## Conclusion\n",
        "Throughout this tutorial notebook, users were taken through how they can construct an optimal portfolio using the Hierarchical Risk Parity algorithm powered through the PortfolioLab library. Users were also shown how they can create custom use cases with this library including how to build a optimized Long/Short portfolio and use a custom distance matrix for calculations."
      ]
    }
  ],
  "metadata": {
    "kernelspec": {
      "display_name": "portfoliolab",
      "language": "python",
      "name": "portfoliolab"
    },
    "language_info": {
      "codemirror_mode": {
        "name": "ipython",
        "version": 3
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "name": "python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
      "version": "3.8.5"
    },
    "colab": {
      "name": "HRP Notebook.ipynb",
      "provenance": [],
      "collapsed_sections": [],
      "include_colab_link": true
    }
  },
  "nbformat": 4,
  "nbformat_minor": 0
}