K-Means.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# SP500 agrupación por sectores: Análisis con K-Means\n",
    "\n",
    "Este notebook es el soporte del artículo: https://estrategiastrading.com/k-means-con-python\n",
    "<br>La idea es ver cómo se agrupan las acciones del SP500 si utilizamos un método de aprendisaje no supervisado (en este caso K-Means). ¿Es este agrupamiento similar al utilizado cuando se clasifican las acciones por sectores GICS?<br> \n",
    "Aviso: Estoy utilizando los datos desde yahoo con la lista de tickers del sp500 a día de hoy. No estoy teniendo en cuenta las acciones deslistadas. Este ejercicio es simplemente una prueba de concepto para aplicar K-Means y no divido los datos en train/ test set\n",
    "\n",
    "## 1. Cargar paquetes y datos"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Importo paquetes y configuración\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "# configuración gráficos\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "# customizaciones\n",
    "plt.rcParams['figure.figsize']= 12,6\n",
    "\n",
    "# Importaciones de K-Means\n",
    "from sklearn.cluster import KMeans\n",
    "from sklearn.preprocessing import StandardScaler"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "---\n",
    "## 2. Cargar, limpiar y trabajar data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Symbol</th>\n",
       "      <th>Security</th>\n",
       "      <th>SEC filings</th>\n",
       "      <th>GICS Sector</th>\n",
       "      <th>GICS Sub Industry</th>\n",
       "      <th>Headquarters Location</th>\n",
       "      <th>Date first added[3][4]</th>\n",
       "      <th>CIK</th>\n",
       "      <th>Founded</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>MMM</td>\n",
       "      <td>3M Company</td>\n",
       "      <td>reports</td>\n",
       "      <td>Industrials</td>\n",
       "      <td>Industrial Conglomerates</td>\n",
       "      <td>St. Paul, Minnesota</td>\n",
       "      <td>NaN</td>\n",
       "      <td>66740</td>\n",
       "      <td>1902</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>ABT</td>\n",
       "      <td>Abbott Laboratories</td>\n",
       "      <td>reports</td>\n",
       "      <td>Health Care</td>\n",
       "      <td>Health Care Equipment</td>\n",
       "      <td>North Chicago, Illinois</td>\n",
       "      <td>1964-03-31</td>\n",
       "      <td>1800</td>\n",
       "      <td>1888</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>ABBV</td>\n",
       "      <td>AbbVie Inc.</td>\n",
       "      <td>reports</td>\n",
       "      <td>Health Care</td>\n",
       "      <td>Pharmaceuticals</td>\n",
       "      <td>North Chicago, Illinois</td>\n",
       "      <td>2012-12-31</td>\n",
       "      <td>1551152</td>\n",
       "      <td>2013 (1888)</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>ABMD</td>\n",
       "      <td>ABIOMED Inc</td>\n",
       "      <td>reports</td>\n",
       "      <td>Health Care</td>\n",
       "      <td>Health Care Equipment</td>\n",
       "      <td>Danvers, Massachusetts</td>\n",
       "      <td>2018-05-31</td>\n",
       "      <td>815094</td>\n",
       "      <td>1981</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>ACN</td>\n",
       "      <td>Accenture plc</td>\n",
       "      <td>reports</td>\n",
       "      <td>Information Technology</td>\n",
       "      <td>IT Consulting &amp; Other Services</td>\n",
       "      <td>Dublin, Ireland</td>\n",
       "      <td>2011-07-06</td>\n",
       "      <td>1467373</td>\n",
       "      <td>1989</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "  Symbol             Security SEC filings             GICS Sector  \\\n",
       "0    MMM           3M Company     reports             Industrials   \n",
       "1    ABT  Abbott Laboratories     reports             Health Care   \n",
       "2   ABBV          AbbVie Inc.     reports             Health Care   \n",
       "3   ABMD          ABIOMED Inc     reports             Health Care   \n",
       "4    ACN        Accenture plc     reports  Information Technology   \n",
       "\n",
       "                GICS Sub Industry    Headquarters Location  \\\n",
       "0        Industrial Conglomerates      St. Paul, Minnesota   \n",
       "1           Health Care Equipment  North Chicago, Illinois   \n",
       "2                 Pharmaceuticals  North Chicago, Illinois   \n",
       "3           Health Care Equipment   Danvers, Massachusetts   \n",
       "4  IT Consulting & Other Services          Dublin, Ireland   \n",
       "\n",
       "  Date first added[3][4]      CIK      Founded  \n",
       "0                    NaN    66740         1902  \n",
       "1             1964-03-31     1800         1888  \n",
       "2             2012-12-31  1551152  2013 (1888)  \n",
       "3             2018-05-31   815094         1981  \n",
       "4             2011-07-06  1467373         1989  "
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Tomo la info sobre las acciones y la clasificación x sectores de la tabla wikipedia\n",
    "table = pd.read_html('https://en.wikipedia.org/wiki/List_of_S%26P_500_companies', header =0, flavor = 'bs4')[0]\n",
    "table.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Security</th>\n",
       "      <th>GICS Sector</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Symbol</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>MMM</th>\n",
       "      <td>3M Company</td>\n",
       "      <td>Industrials</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ABT</th>\n",
       "      <td>Abbott Laboratories</td>\n",
       "      <td>Health Care</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ABBV</th>\n",
       "      <td>AbbVie Inc.</td>\n",
       "      <td>Health Care</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ABMD</th>\n",
       "      <td>ABIOMED Inc</td>\n",
       "      <td>Health Care</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ACN</th>\n",
       "      <td>Accenture plc</td>\n",
       "      <td>Information Technology</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
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      ],
      "text/plain": [
       "                   Security             GICS Sector\n",
       "Symbol                                             \n",
       "MMM              3M Company             Industrials\n",
       "ABT     Abbott Laboratories             Health Care\n",
       "ABBV            AbbVie Inc.             Health Care\n",
       "ABMD            ABIOMED Inc             Health Care\n",
       "ACN           Accenture plc  Information Technology"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Solo quiero los tickers, nombres y sector\n",
    "table = table.loc[:,['Symbol','Security','GICS Sector']].set_index('Symbol')\n",
    "table.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Esta es la lista de tickers \n",
    "tickers = table.index.values.tolist()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>A</th>\n",
       "      <th>AAL</th>\n",
       "      <th>AAP</th>\n",
       "      <th>AAPL</th>\n",
       "      <th>ABBV</th>\n",
       "      <th>ABC</th>\n",
       "      <th>ABMD</th>\n",
       "      <th>ABT</th>\n",
       "      <th>ACN</th>\n",
       "      <th>ADBE</th>\n",
       "      <th>...</th>\n",
       "      <th>XEL</th>\n",
       "      <th>XLNX</th>\n",
       "      <th>XOM</th>\n",
       "      <th>XRAY</th>\n",
       "      <th>XRX</th>\n",
       "      <th>XYL</th>\n",
       "      <th>YUM</th>\n",
       "      <th>ZBH</th>\n",
       "      <th>ZION</th>\n",
       "      <th>ZTS</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</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",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2015-12-31</th>\n",
       "      <td>40.611141</td>\n",
       "      <td>41.126011</td>\n",
       "      <td>149.708435</td>\n",
       "      <td>99.840477</td>\n",
       "      <td>52.961937</td>\n",
       "      <td>98.492264</td>\n",
       "      <td>90.279999</td>\n",
       "      <td>42.043522</td>\n",
       "      <td>98.625694</td>\n",
       "      <td>93.940002</td>\n",
       "      <td>...</td>\n",
       "      <td>32.585835</td>\n",
       "      <td>43.879574</td>\n",
       "      <td>69.643501</td>\n",
       "      <td>59.610352</td>\n",
       "      <td>26.030481</td>\n",
       "      <td>35.113663</td>\n",
       "      <td>49.111866</td>\n",
       "      <td>100.044907</td>\n",
       "      <td>26.234152</td>\n",
       "      <td>46.901539</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-01-04</th>\n",
       "      <td>39.523247</td>\n",
       "      <td>39.727627</td>\n",
       "      <td>151.429276</td>\n",
       "      <td>99.925850</td>\n",
       "      <td>51.504684</td>\n",
       "      <td>96.744843</td>\n",
       "      <td>85.239998</td>\n",
       "      <td>40.189907</td>\n",
       "      <td>96.105782</td>\n",
       "      <td>91.970001</td>\n",
       "      <td>...</td>\n",
       "      <td>32.395283</td>\n",
       "      <td>42.786564</td>\n",
       "      <td>69.205704</td>\n",
       "      <td>57.660900</td>\n",
       "      <td>25.222389</td>\n",
       "      <td>34.709618</td>\n",
       "      <td>48.547131</td>\n",
       "      <td>99.284256</td>\n",
       "      <td>25.667187</td>\n",
       "      <td>46.265354</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-01-05</th>\n",
       "      <td>39.387260</td>\n",
       "      <td>39.348907</td>\n",
       "      <td>150.394806</td>\n",
       "      <td>97.421768</td>\n",
       "      <td>51.290115</td>\n",
       "      <td>98.159882</td>\n",
       "      <td>85.000000</td>\n",
       "      <td>40.180538</td>\n",
       "      <td>96.605988</td>\n",
       "      <td>92.339996</td>\n",
       "      <td>...</td>\n",
       "      <td>32.721958</td>\n",
       "      <td>43.421818</td>\n",
       "      <td>69.795372</td>\n",
       "      <td>58.836452</td>\n",
       "      <td>25.173414</td>\n",
       "      <td>34.699997</td>\n",
       "      <td>48.426121</td>\n",
       "      <td>101.351677</td>\n",
       "      <td>25.388510</td>\n",
       "      <td>46.989624</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-01-06</th>\n",
       "      <td>39.562099</td>\n",
       "      <td>40.038387</td>\n",
       "      <td>146.416092</td>\n",
       "      <td>95.515244</td>\n",
       "      <td>51.299061</td>\n",
       "      <td>96.659370</td>\n",
       "      <td>85.300003</td>\n",
       "      <td>39.843513</td>\n",
       "      <td>96.417236</td>\n",
       "      <td>91.019997</td>\n",
       "      <td>...</td>\n",
       "      <td>33.066780</td>\n",
       "      <td>42.627747</td>\n",
       "      <td>69.214653</td>\n",
       "      <td>57.984173</td>\n",
       "      <td>24.855070</td>\n",
       "      <td>34.267082</td>\n",
       "      <td>48.083248</td>\n",
       "      <td>101.790497</td>\n",
       "      <td>24.648573</td>\n",
       "      <td>46.999409</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-01-07</th>\n",
       "      <td>37.881710</td>\n",
       "      <td>39.280922</td>\n",
       "      <td>148.037415</td>\n",
       "      <td>91.484085</td>\n",
       "      <td>51.147072</td>\n",
       "      <td>93.572876</td>\n",
       "      <td>81.919998</td>\n",
       "      <td>38.888622</td>\n",
       "      <td>93.585876</td>\n",
       "      <td>89.110001</td>\n",
       "      <td>...</td>\n",
       "      <td>33.193821</td>\n",
       "      <td>40.946178</td>\n",
       "      <td>68.106796</td>\n",
       "      <td>57.474762</td>\n",
       "      <td>24.169415</td>\n",
       "      <td>33.382030</td>\n",
       "      <td>46.442814</td>\n",
       "      <td>99.450035</td>\n",
       "      <td>23.908636</td>\n",
       "      <td>45.570442</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 503 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                    A        AAL         AAP       AAPL       ABBV        ABC  \\\n",
       "Date                                                                            \n",
       "2015-12-31  40.611141  41.126011  149.708435  99.840477  52.961937  98.492264   \n",
       "2016-01-04  39.523247  39.727627  151.429276  99.925850  51.504684  96.744843   \n",
       "2016-01-05  39.387260  39.348907  150.394806  97.421768  51.290115  98.159882   \n",
       "2016-01-06  39.562099  40.038387  146.416092  95.515244  51.299061  96.659370   \n",
       "2016-01-07  37.881710  39.280922  148.037415  91.484085  51.147072  93.572876   \n",
       "\n",
       "                 ABMD        ABT        ACN       ADBE    ...            XEL  \\\n",
       "Date                                                      ...                  \n",
       "2015-12-31  90.279999  42.043522  98.625694  93.940002    ...      32.585835   \n",
       "2016-01-04  85.239998  40.189907  96.105782  91.970001    ...      32.395283   \n",
       "2016-01-05  85.000000  40.180538  96.605988  92.339996    ...      32.721958   \n",
       "2016-01-06  85.300003  39.843513  96.417236  91.019997    ...      33.066780   \n",
       "2016-01-07  81.919998  38.888622  93.585876  89.110001    ...      33.193821   \n",
       "\n",
       "                 XLNX        XOM       XRAY        XRX        XYL        YUM  \\\n",
       "Date                                                                           \n",
       "2015-12-31  43.879574  69.643501  59.610352  26.030481  35.113663  49.111866   \n",
       "2016-01-04  42.786564  69.205704  57.660900  25.222389  34.709618  48.547131   \n",
       "2016-01-05  43.421818  69.795372  58.836452  25.173414  34.699997  48.426121   \n",
       "2016-01-06  42.627747  69.214653  57.984173  24.855070  34.267082  48.083248   \n",
       "2016-01-07  40.946178  68.106796  57.474762  24.169415  33.382030  46.442814   \n",
       "\n",
       "                   ZBH       ZION        ZTS  \n",
       "Date                                          \n",
       "2015-12-31  100.044907  26.234152  46.901539  \n",
       "2016-01-04   99.284256  25.667187  46.265354  \n",
       "2016-01-05  101.351677  25.388510  46.989624  \n",
       "2016-01-06  101.790497  24.648573  46.999409  \n",
       "2016-01-07   99.450035  23.908636  45.570442  \n",
       "\n",
       "[5 rows x 503 columns]"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "'''Los datos vienen desde Yahoo desde 2016\n",
    "están guardados en el repositorio data para poder replicar el análisis'''\n",
    "url = 'https://raw.githubusercontent.com/Duk2/Data/master/precios_cierre_acciones_SP500.csv'\n",
    "cierres = pd.read_csv(url,index_col='Date', parse_dates=True)\n",
    "cierres.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(756, 503)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Controlo cuantos datos tengos (filas, columnas)\n",
    "cierres.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.2. Limpieza y formateo"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
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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>Returns</th>\n",
       "      <th>Volatility</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>A</th>\n",
       "      <td>0.186725</td>\n",
       "      <td>0.228322</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AAL</th>\n",
       "      <td>-0.015866</td>\n",
       "      <td>0.354138</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AAP</th>\n",
       "      <td>0.073412</td>\n",
       "      <td>0.332808</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AAPL</th>\n",
       "      <td>0.181026</td>\n",
       "      <td>0.236480</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ABBV</th>\n",
       "      <td>0.212363</td>\n",
       "      <td>0.276692</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       Returns  Volatility\n",
       "A     0.186725    0.228322\n",
       "AAL  -0.015866    0.354138\n",
       "AAP   0.073412    0.332808\n",
       "AAPL  0.181026    0.236480\n",
       "ABBV  0.212363    0.276692"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Returns & Volat\n",
    "returns = cierres.pct_change().mean() * 252\n",
    "returns = pd.DataFrame(returns)\n",
    "returns.columns = ['Returns']\n",
    "returns['Volatility'] = cierres.pct_change().std() * np.sqrt(252)\n",
    "returns.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Returns       0\n",
      "Volatility    0\n",
      "dtype: int64\n"
     ]
    }
   ],
   "source": [
    "#checkeo si hay vacios\n",
    "print(returns.isnull().sum())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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gmWcmNtxm/Y9dok6SpJcIA7XUiyuvPI3Jk5eyYsUuWlv3pq3tw4MKwFaYJUl6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\nBQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x24771b83cc0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Exploratory data analisis first: visualizar los datos\n",
    "plt.scatter(returns['Returns'], returns['Volatility'])\n",
    "plt.xlabel('Returns')\n",
    "plt.ylabel('Volatility');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Hay un outlier, vamos a mirarlo y ver que hacer con él"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Returns       BHF\n",
      "Volatility    BHF\n",
      "dtype: object\n"
     ]
    }
   ],
   "source": [
    "print(returns.idxmax())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "El outlier corresponde a BHF q comienza a tener datos en Yahoo en julio 2017 (antes esta todo a ceros). Lo quito de Returns y también de la tabla inicial porque afecta al resto"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "ename": "TypeError",
     "evalue": "'NoneType' object is not callable",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mTypeError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-11-2c1c6e1bb5e6>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m \u001b[0mreturns\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mdrop\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'BHF'\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0minplace\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;32mTrue\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[1;31mTypeError\u001b[0m: 'NoneType' object is not callable"
     ]
    }
   ],
   "source": [
    "returns.drop('BHF',inplace=True)()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "table.drop('BHF', inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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twHbLsh4Hbgce93hMEnXyZJiGhmeKpldS4hIDYw8dHWCff/YBq9m/v49w+Eu4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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x24771ae6b70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Grafico de dispersión previo a clustering\n",
    "fig, ax = plt.subplots()\n",
    "ax.scatter(returns['Returns'], returns['Volatility'])\n",
    "ax.set_xlabel('Returns')\n",
    "ax.set_ylabel('Volatility')\n",
    "fig.text(0.85, 0.05, 'https://estrategiastrading.com',\n",
    "         fontsize=12, color='gray',\n",
    "         ha='right', va='bottom', alpha=0.5)\n",
    "plt.savefig('Grafico de dispersión.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "---\n",
    "## 3. K-Means\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0.18672494,  0.22832194],\n",
       "       [-0.01586589,  0.35413833],\n",
       "       [ 0.07341228,  0.33280751],\n",
       "       ...,\n",
       "       [ 0.03326184,  0.22624288],\n",
       "       [ 0.19138251,  0.27388436],\n",
       "       [ 0.21754817,  0.20563058]])"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Tengo que formatear como numpy array para utilizar KMeans\n",
    "data_v0 = np.asarray([np.asarray(returns['Returns']),np.asarray(returns['Volatility'])]).T\n",
    "data_v0"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " ---\n",
    "### 3.1 Datos normalizados\n",
    "En el algoritmo KMean la varianza de un feature se corresponde con su influencia en el agrupamiento<br>\n",
    "Para que todos los elementos sean tratados por igual, es necesario transformar e igualar las varianzas <br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.1.2 Pruebo con Scale como preproceso\n",
    "\n",
    "StandardScaler transforma cada feature para que tenga una media de cero y una varianza de 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "StandardScaler(copy=True, with_mean=True, with_std=True)"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "scaler = StandardScaler()\n",
    "scaler.fit(data_v0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0.59194221, -0.38385704],\n",
       "       [-0.91112231,  1.22343012],\n",
       "       [-0.24874856,  0.95093176],\n",
       "       ...,\n",
       "       [-0.54663319, -0.41041672],\n",
       "       [ 0.62649772,  0.19819658],\n",
       "       [ 0.82062632, -0.6737361 ]])"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data_scaled= scaler.transform(data_v0)\n",
    "data_scaled"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "### 3.2 Nº clusters\n",
    "Miramos cuál es el mejor número de k (clusters) en los que debemos agrupar los datos.<br> \n",
    "Teoría: Existen varios métodos para seleccionar el numéro óptimo de clústers, aquí testeamos el \"método del codo\" donde la calidad del agrupamiento se mide con la inercia. La inercia mide qué tan dispersos están los clusters (cuánto más bajo mejor).  La inercia es la suma de las distancias al cuadrado de cada objeto del Cluster a su centroide."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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HgeXAFUAt8BiwMMbYfbz99/b2ZTOZiqJk7e/v57fu/hRdvV186V3/i6qKkk0BlyRJUnlL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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x24771aabc50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Elbow curve\n",
    "ks = range (1,20) # cantidad de clusters a testear\n",
    "x = data_scaled\n",
    "\n",
    "inertias=[]\n",
    "for k in ks:\n",
    "    model = KMeans(n_clusters=k)\n",
    "    model.fit(x)\n",
    "    inertias.append(model.inertia_)\n",
    "    \n",
    "plt.plot(range(1, 20),ks, inertias, '-o')\n",
    "plt.xlabel('Num clusters')\n",
    "plt.ylabel('inertia')\n",
    "plt.xticks(ks)\n",
    "plt.grid(True)\n",
    "plt.title('Elbow curve');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "No veo un \"codo\" muy claro ¿Probamos con 4 clusters?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "366.8310935506606\n"
     ]
    }
   ],
   "source": [
    "model = KMeans(n_clusters=4)\n",
    "model.fit(data_scaled)\n",
    "print(model.inertia_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "448.3986544517767\n"
     ]
    }
   ],
   "source": [
    "model = KMeans(n_clusters=3)\n",
    "model.fit(data_scaled)\n",
    "print(model.inertia_)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "### 3.3. Gráfico clústers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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m89i24faKjltt/xK7HsP37W8x/aWfWlwSHY9/sr2IiGTMm0BblvU8gGmav29Z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\nQggxBZJACyGEEEIIMQX/H8dRcr0b6ZgpAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x247704a0438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "kmeans= KMeans(n_clusters=4,init='k-means++',max_iter=1000)\n",
    "kmeansoutput=kmeans.fit(data_scaled)\n",
    "centroides = kmeans.cluster_centers_\n",
    "labels = kmeans.predict(data_scaled)\n",
    "plt.scatter(data_scaled[:, 0], data_scaled[:, 1],c=labels,alpha= 0.5)\n",
    "plt.scatter(centroides[:,0],centroides[:,1], c='red',marker= 'x', s=200)\n",
    "plt.xlabel('Return')\n",
    "plt.ylabel('Volat')\n",
    "plt.title('4 Cluster K-Means')\n",
    "plt.text(3, -2, 'https://estrategiastrading.com', fontsize=12)\n",
    "plt.savefig('4 Clusters K-Means.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0.46912177, -0.59226476],\n",
       "       [-1.59178488,  1.31605893],\n",
       "       [ 1.23015021,  1.58091891],\n",
       "       [-0.56976239, -0.15209959]])"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "centroides\n",
    "#Al relanzar K Means el orden del array de los centroides cambia, pero los centroides son los mismos"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Cluster</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Ticker</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>A</th>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AAL</th>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AAP</th>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AAPL</th>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ABBV</th>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        Cluster\n",
       "Ticker         \n",
       "A             0\n",
       "AAL           1\n",
       "AAP           3\n",
       "AAPL          0\n",
       "ABBV          0"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# convierto a df\n",
    "clustering = pd.DataFrame({'Ticker':returns.index,'Cluster':labels}).set_index('Ticker')\n",
    "clustering.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "## 4. ¿Cómo quedan agrupadas las acciones?\n",
    "\n",
    "No es lo mismo con los datos pasados por StandarScaler que en normal <br>\n",
    "Agrupo todos los dos datos que he obtenido en una sola tabla"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Cluster</th>\n",
       "      <th>Security</th>\n",
       "      <th>GICS Sector</th>\n",
       "      <th>Returns</th>\n",
       "      <th>Volatility</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>A</th>\n",
       "      <td>0.0</td>\n",
       "      <td>Agilent Technologies Inc</td>\n",
       "      <td>Health Care</td>\n",
       "      <td>0.186725</td>\n",
       "      <td>0.228322</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AAL</th>\n",
       "      <td>1.0</td>\n",
       "      <td>American Airlines Group</td>\n",
       "      <td>Industrials</td>\n",
       "      <td>-0.015866</td>\n",
       "      <td>0.354138</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AAP</th>\n",
       "      <td>3.0</td>\n",
       "      <td>Advance Auto Parts</td>\n",
       "      <td>Consumer Discretionary</td>\n",
       "      <td>0.073412</td>\n",
       "      <td>0.332808</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AAPL</th>\n",
       "      <td>0.0</td>\n",
       "      <td>Apple Inc.</td>\n",
       "      <td>Information Technology</td>\n",
       "      <td>0.181026</td>\n",
       "      <td>0.236480</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ABBV</th>\n",
       "      <td>0.0</td>\n",
       "      <td>AbbVie Inc.</td>\n",
       "      <td>Health Care</td>\n",
       "      <td>0.212363</td>\n",
       "      <td>0.276692</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      Cluster                  Security             GICS Sector   Returns  \\\n",
       "A         0.0  Agilent Technologies Inc             Health Care  0.186725   \n",
       "AAL       1.0   American Airlines Group             Industrials -0.015866   \n",
       "AAP       3.0        Advance Auto Parts  Consumer Discretionary  0.073412   \n",
       "AAPL      0.0                Apple Inc.  Information Technology  0.181026   \n",
       "ABBV      0.0               AbbVie Inc.             Health Care  0.212363   \n",
       "\n",
       "      Volatility  \n",
       "A       0.228322  \n",
       "AAL     0.354138  \n",
       "AAP     0.332808  \n",
       "AAPL    0.236480  \n",
       "ABBV    0.276692  "
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "clustering_results = pd.concat([clustering,table,returns], axis=1)\n",
    "clustering_results.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4.1 Gráficos por sectores GICS"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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uO1Pd3vUQEZE2pSGCIiIiIiIiKVGAJSIiIiIikhIFWCIiIiIiIilRgCUiIiIiIpISBVgi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\nG+DTAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x24770447320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lmplot(x='Returns', y='Volatility', data= clustering_results,fit_reg=False, hue='GICS Sector', size=5, aspect=2)\n",
    "plt.title('Categorización por sectores GICS')\n",
    "plt.text(0.5, 0.05, 'https://estrategiastrading.com', fontsize=12)\n",
    "plt.savefig('ScatterPlot_por_sectores.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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PgT/OX+O/AmGuAANg796hBZZSvIGB/nnV17u2n5XVY/nQ2Np+qgW+v/nW12ll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\nhC3VZkyRvvyz2QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x24770444048>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lmplot(x='Returns', y='Volatility', data= clustering_results,fit_reg=False, col='GICS Sector',hue='GICS Sector', col_wrap=3)\n",
    "plt.savefig('ScatterPlot_individual_por_sectores.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4.2 Gráficos por clustering inicial "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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SqI3tG0oei4iIiEhjaMZfAnXdhqsAZuX4i4iIiEjjKfCXQEWciHL6RURERBYgpfqIiIiI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\nxGJ+UFxpqdFMgD88NEkq6TI8NInnwRu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I9IJFTaxZu9RfyffJRw4wmEjZmvkOOKGT5+9N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\nKaWUUkrVgP8PTMbx9YWhruoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x24771c5c390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lmplot(x='Returns', y='Volatility', data= clustering_results,fit_reg=False, hue='Cluster', size=5, aspect=2)\n",
    "plt.title('ScatterPlot_clustering')\n",
    "plt.text(0.5, 0.05, 'https://estrategiastrading.com', fontsize=12)\n",
    "plt.savefig('ScatterPlot_clustering.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Ivh94dwhhd/X47uqKFgPAk8DdwK4QwpepDPL9dozxL5pck9aIr+09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\nrQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2477039d128>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lmplot(x='Returns', y='Volatility', data= clustering_results,fit_reg=False, col='Cluster', hue='Cluster',col_wrap=2)\n",
    "plt.savefig('ScatterPlot_individual_clustering.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4.3 Grafico sectores por clustering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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7HJ2dS7hh45YZ73e+H8PVb/nuWYpkfBPFV5Rr36L/fqH4MRY9vlZVb1rTDQAh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OXT3Ox7gUOB90fEZUAZ+BxPlm95J/BNiuLGV2XmlnoaNTkjSZIkSZJUh8x8B/COMfbfANww0Xbb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\n6q2ttXel+7l4epI3tdbeUVUvH2230c9D0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pwBAAAA6JHiDAAAAECPFGcAAAAAeqQ4AwAA\nANAjxRkAAACAHq3vOwDM2j2zOxdff2nqhs/n+I3H5dTjTs66KfVDAAAADm2KMwzGR7Zfkcu+enl2\n7fp2PnfT55MkW45/fM+pAAAAYLIMS2AwvnLb9gW3AQAA4FBk5AxJuilFH9l+Rb5y2/bephQdv/G4\nfPHWL+21DQAAAIe6/RZnWmsPrKobViIM/fnI9ivy4S9fmiS9TSk69biTs2nTvffqOQMAAACHusWM\nnPlQa+26JG9O8u6qumuykejDEKYUrZtalzNO2JJHb3r0ir82AAAA9GW/81aq6mFJXpXk+5JUa+1/\ntNZOmXgyVtTcKUSmFAEAAMDKWFTPmar6cGvto0l+NMl/T/IDrbUdSX6mqj4yyYCsjNkpROM9ZwAA\nAIDJW0zPmacn+YkkT0/y3iTPr6pLW2uPTvK+JJsnG5GVsG5qnWWrAQAAoAeLGTnzq0nemOQlVXX7\n7INVdXVr7fcnlgwAWLQhrLoHAMDBWUxx5n1V9ebxB1prv11Vv1xVfziZWADAgRjCqnsAABycfRZn\nWmuvSnJsuv4y3zO2615JnpDklyecDQBYpCGsugcAwMFZaOTMu5I8Msm/SfKPY4/vSvIbkwwFAByY\n4zcet2fEzOw2AACrwz6LM1X10SQfba1dWFU7VzATAHCArLoHALB6LTSt6eNV9bgkN7XWZsZ2TSWZ\nqarDJp4OAFgUq+4BAKxeC42cedzoT0s9AAAAAEzIQiNnfnWhJ1aVvjMAAAAAS7RQQ+CpFUsBAAAA\nsEYtNK3p11cyCAAAAMBatN+GwK213UkOqiFwa20qyWuTnJTkjiTnVNX18xz3uiQ3VtUvH+gXwNqz\ne2Z3PrL9ir1WJFk3pTUSAMtrZvfu7Lz0kty5bVs2bN6co7aclql1/n8DACy/g2oI3FrbsMjzn5lk\nQ1Vtaa09Icl5o8fGz/XTSR6V5B8XG5q17SPbr8iHv3xpkuRzN30+SSa+QsnsL+i33Pi17L7/sX5B\nB1gDdl56SW76wMVJkm9ed22S5L6nnd5nJADgELXfu8vW2mVzttcl+dgiz39akouSpKouT3LKnHM9\nMcnjk7xukedjFdg9szuXfuWjueC6v8ylX/lods/sXtbzf+W27QtuT8LsL+g7P/2Z7s9LL5n4awLQ\nrzu3bVtwGwBguSw0reniJE8d/X387npXkr9c5PmPSnLz+HNba+uqandr7YFJXpluJM3zDyQ0wzbp\nkS3Hbzxuz3lntyfNL+gAa8+GzZv3jJiZ3QYAmISFpjWdkSSttddU1csO8vw7k2wa215XVbOFnh9J\ncv8k701yXJIjWmvXVNVbFzrh9PSmhXb3buj5ksln/Ma2G7N+/d0tib6x+8YDes39HfucY56aTZvu\nnS/d/OU8+L4PylMfcurEe87sfsRDs/3zn0uSrF9/WI55xEMH+70eaq5ZQ8+XrI6MK2no74d8SzP0\nfEl/GY/5we/P1zbdO7d94UvZ+N0PzrFnPG3eKa1Dfw/lA4Dhm5qZmVnwgNbavZN8f5Ij0zUDPizJ\nQ6rqV/d38tbaDyV5dlW9qLV2apJfqapnzXPcC5O0RTQEntmx45b9vWxvpqc3Zcj5kpXJeOlXPrpn\n5EySPPlBWxY9cmao7+Fsz5l1A+85M9T3b9bQ8yXDzzg9vWlqhV/SdXcJ5Fu6oWeUb2lWQb6VvuYC\nsEbtc+TMmHcluU+Shyb5cJLTk1y24DPudmGSZ7TWto62z26tnZVkY1Wdf6BhWR1OPe7kJNlrNaXV\nbmrdutz3tNMH/0skAAAAq89iijMtyfckeU2SNyb5xSQXLObkVTWT5CVzHr52nuPespjzsTqsm1o3\n8dWTAAAA4FCxmHkZXx0VWa5JcmJVfSXJYpfShmU36dWgAAAAYCUtZuTMp1prf5zkT5K8o7V2fJJ7\nTTYW7NukV4MCAACAlbSYkTMvSfK/q+rTSX413cpKPzbRVLCAr9y2fcFtAAAAWE32OXKmtXb6PNs3\np2sQfPSEc8E+Hb/xuD0jZma3AQAAYLVaaFrTry+wbybJGcucBRblUFwNCmC57J7ZnY9sv2Kva+S6\nqcUMlAUAoC/7LM5U1dPGt1trm5IcVlU3TTwVq0JfNwBWgwLYN325AABWn/02BG6tnZDkL5L8qyRT\nrbUvJvnRqrpu0uEYNjcAAMOjLxcAwOqzmGEOr0vyu1V1/6o6OsnvJPmzycZiNXADADA8c/tw6csF\nADB8i1lK+5iqumB2o6r+d2vtFRPMxCpxqDfmndm9OzsvvSR3btuWDZs356gtp/UdCWC/9OUCAFh9\nFlOcubO19riq+niStNZOTnL7ZGOxGhzqNwA7L70kN33g4iTJN6+7Nkly7HOf1WckgP3SlwsAYPVZ\naCnto6vq60leluRdrbWvJ5lKt4z281coHwM2lBuASTUmvnPbtgW3AQAAYDksNHLm2tbaxUnekORh\no//WJamq+tZKhOPQNl9R5WAs1Jh4vqlJU+sWV7jZsHnznhEzs9sAAACw3BYqzjw4yQ8leXmSP03y\ntiRvUphhucxXVPnBY8844PMs1Jh4vqlJ9z3t9EWdd7bHjJ4zAAAATNI+izNVdXuStyd5e2vt+CQ/\nluTC1tqNSd5QVX++Qhk5RC3Xak8LNSY+kKlJ842yWWwhBwAAAA7WYhoCp6q+kuT3W2t/keQVSd6U\nRHGGBe2vF8xyrfa0UGPiA5matJRRNgCryez1+Rvbbsx3rLv/svXqAgDg4Oy3ONNau1+SH0nygiQP\nSPKWJCdMOBeHgIV6wSTLt9rTQo2JD2RqkgbAwFoxe31ev/6w7NpVSTKIBu8AAGvVQqs1PT9dQWZL\nkvckeUVVXbJSwVj99jdtaSVWe5pat27Ro180AAbWiuWaVgoAwPJYaOTMz6SbvnRWVd22Qnk4hCzX\ntKWVogEwsFastuvzarCU1QEBABZqCKzZBkuyXNOWVsqBjLIBWM1mr8ff2H13zxmWRt8yAGApFtUQ\nGBZrf02AAQ5149fBdstD8r1Hfu/groOz00qnpzdlx45b+o5zSNC3DABYCsUZltX+mgD3zbBzYNLG\nr4NfvPVLueUBdwzqOriS1tI1V98yAGApFGdYVvtqMjmUETWGnQOTptnu3dbSNVffMgBgKRRnWFb7\najI5lBE1ix12vpY+7QWW16HSbHdmZibXXHVDvr7jthw9vTEPP/GBmZqaOqBzrKWpPvqWAQBLoTjD\nstpXE+BJfpJ8IDcQix12PuRPexWOYNjGr3vtgV3PmdXomqtuyKeu/HKSZPu2m5IkjzjpwApNpvoA\nACyO4gzLarbJ5FyT/CT5QG4gFjvsfMif9g65cATsfR1czQ13v77jtgW3F8NUHwCAxVGcYUVMclnt\nA7mBWOyw8yF/2jvkwhFw6Dh6euOegvfs9oEy1QcAYHEUZ1gR+xpRsxz2dQOxlH4JQ/60d8iFI2D1\nm7123rjj1hx9zJE5fMNhuf+xR+bhJz6w72gAAIcsxRlWvdkbhvEiTLK0fglD/rR3yIUjYPUbv3Ym\nyfc+9kEH3GsGAIADozjDqjc1NTXvjcNy9EsYoiEXjoDV71C9dgJsUW0DAAAVM0lEQVQADJklXjhk\nze2PcDD9EgDWGtdOAICVZ+QMh6x9TXcCYN9cOwEAVt5EizOttakkr01yUpI7kpxTVdeP7X9ekl9K\nsjvJn1fVH00yD2vLvqY7AbBvrp0AACtv0tOazkyyoaq2JDk3yXmzO1pr65L8dpIzkmxJ8tLW2tET\nzgMAAAAwKJMuzpyW5KIkqarLk5wyu6Oqdid5RFXdmuSYUZZvTTgPZGZmJp/5xPZs/fvP5jOf2J6Z\nmZm+IwEAALCGTbo4c1SSm8e2d41GzCTpCjSttecm+ackH0xiSQgmbnaZ2O3bbsqnrvxyrrnqhr4j\nAQAAsIZNTXLUQGvt1Ukuq6oLRttfqqoH7+PYtyS5uKressApDXFgyf72PZ/Ml67/+p7tB59wdL7v\nBx/VYyI4IFMr/Hquu8BattLXXADWqEmv1rQ1ybOTXNBaOzXJ1bM7WmubkvxVkn9bVd9KN2pm9/5O\nuGPHLROKunTT05sGnS8ZVsaZmZlcc9UNe60IcuyxR0083xEbD8+uXd/ea3uxrzmk928+8i3d0DNO\nT29a8dcc+vsh38Eber5k+BnlW5rVkA8AVsKkizMXJnlGa23raPvs1tpZSTZW1fmttbcn+VBr7VtJ\nrkry9gnnYUBmpxclyfZtNyVJjn36URN/XcvEAqyM+YrwU1MLD0TYPTOTrVdtz7Ydt2Xz9MacecbD\nVigtAEB/JlqcqaqZJC+Z8/C1Y/vPT3L+JDMwXF/fcduC25NimViA5bNQAWa+Ivz+rr9br9qei0fP\nuXbbTdm06d55zAkWcwQADm2TbggM+3T09MYFtwEYvoWarB9MEX7bnGO+cMPO5QkKADBgk57WBPtk\nehHA6rdQAebo6Y17RszMbu/P5umNuXbsOd/9wMlPdwUA6JviDL0xvQhg9VuoAHMwRfgnndj9f2G2\n58y/efyDc+ONty5zagCAYVGc4ZB0ME0oAThwCxVgDqYIv25qKk8+6fi7t9e5dgMAhz7FGQ5JB9OE\nEoADZxQkAMDSaQjMIamvlaAAAADgQCnOcEiyEhQAAACrhWlNHJKsBAUAAMBqoTjDIUkPBAAAAFYL\nxRkAWGNmV7T7+G1fzBEbD7eiHQBAzxRnAGCNmV3Rbv36w7Jr17eTWNEOAKBPGgIDwBoxMzOTz3xi\nez55xZfzzdvv2vO4Fe0AAPpl5AwArBGzI2buuOOu3HH7XTnssHU5fMNhVrQDAOiZ4gwArBGzI2Tu\nfUT3v/8j7nOvPPzE4/Za0W62H834anf60QAATJbiDACsEUdPb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      "text/plain": [
       "<matplotlib.figure.Figure at 0x24771fff4e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lmplot(x='Returns', y='Volatility', data= clustering_results,fit_reg=False, col='GICS Sector',hue='Cluster', col_wrap=3)\n",
    "plt.savefig('ScatterPlot_individual_por_sectores_y_clustering.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "## 5. Igual número de clusters que de sectores"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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XJSITDj95gB1b41QU53hy/yZse6vbJYmILCtrub96s237VSA38XAfYIBPGmO6ZtlN3w8+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\nmzraaWxvw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VUb8Hng28ApYPhW573JthBCiFtQDEPeM4UQQgghhLhdMgIthBBCCCHENkiA\nFkIIIYQQYhskQAshhBBCCLENEqCFEEIIIYTYBgnQQgghhBBCbIMEaCGEEEIIIbZBArQQQgghhBDb\nIAFaCCGEEEKIbfj/AQRLcqkM+prGAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x24770383630>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Tengo 11 sectores GICS pruebo entonces 11 clusters\n",
    "kmeans= KMeans(n_clusters=11,init='k-means++',max_iter=1000)\n",
    "kmeansoutput_11=kmeans.fit(data_scaled)\n",
    "centroides_11 = kmeans.cluster_centers_\n",
    "labels_11= kmeans.predict(data_scaled)\n",
    "plt.scatter(data_scaled[:, 0], data_scaled[:, 1],c=labels_11,cmap= 'Set1',alpha= 0.5)\n",
    "plt.scatter(centroides_11[:,0],centroides_11[:,1], c='red',marker= 'x', s=200)\n",
    "plt.xlabel('Return')\n",
    "plt.ylabel('Volat')\n",
    "plt.title('11 Cluster K-Means - Scaled data')\n",
    "plt.savefig('11_Cluster_K-Means.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "138.558263423026\n"
     ]
    }
   ],
   "source": [
    "# ¿Cuanta inercia tengo con 11 clusters?\n",
    "model = KMeans(n_clusters=11)\n",
    "model.fit(data_scaled)\n",
    "print(model.inertia_)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 5.1 Comparo la clasificación por sectores con el clustering de K-Means"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>11_Clusters</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Ticker</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>A</th>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AAL</th>\n",
       "      <td>10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AAP</th>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AAPL</th>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ABBV</th>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        11_Clusters\n",
       "Ticker             \n",
       "A                 3\n",
       "AAL              10\n",
       "AAP               2\n",
       "AAPL              3\n",
       "ABBV              3"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Primero añado los resultados del clustering al df\n",
    "clustering_11 = pd.DataFrame({'Ticker':returns.index,'11_Clusters':labels_11}).set_index('Ticker')\n",
    "clustering_11.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Security</th>\n",
       "      <th>GICS Sector</th>\n",
       "      <th>Returns</th>\n",
       "      <th>Volatility</th>\n",
       "      <th>Cluster</th>\n",
       "      <th>11_Clusters</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>CHTR</th>\n",
       "      <td>Charter Communications</td>\n",
       "      <td>Communication Services</td>\n",
       "      <td>0.193109</td>\n",
       "      <td>0.289851</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>FOX</th>\n",
       "      <td>Twenty-First Century Fox Class B</td>\n",
       "      <td>Communication Services</td>\n",
       "      <td>0.224767</td>\n",
       "      <td>0.235567</td>\n",
       "      <td>0.0</td>\n",
       "      <td>3.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>FOXA</th>\n",
       "      <td>Twenty-First Century Fox Class A</td>\n",
       "      <td>Communication Services</td>\n",
       "      <td>0.228564</td>\n",
       "      <td>0.238747</td>\n",
       "      <td>0.0</td>\n",
       "      <td>3.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>CMCSA</th>\n",
       "      <td>Comcast Corp.</td>\n",
       "      <td>Communication Services</td>\n",
       "      <td>0.117273</td>\n",
       "      <td>0.220051</td>\n",
       "      <td>0.0</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>GOOG</th>\n",
       "      <td>Alphabet Inc Class C</td>\n",
       "      <td>Communication Services</td>\n",
       "      <td>0.130921</td>\n",
       "      <td>0.218075</td>\n",
       "      <td>0.0</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>GOOGL</th>\n",
       "      <td>Alphabet Inc Class A</td>\n",
       "      <td>Communication Services</td>\n",
       "      <td>0.125477</td>\n",
       "      <td>0.218355</td>\n",
       "      <td>0.0</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>VZ</th>\n",
       "      <td>Verizon Communications</td>\n",
       "      <td>Communication Services</td>\n",
       "      <td>0.126162</td>\n",
       "      <td>0.178684</td>\n",
       "      <td>0.0</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>DISH</th>\n",
       "      <td>Dish Network</td>\n",
       "      <td>Communication Services</td>\n",
       "      <td>-0.207734</td>\n",
       "      <td>0.336425</td>\n",
       "      <td>1.0</td>\n",
       "      <td>4.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>CTL</th>\n",
       "      <td>CenturyLink Inc</td>\n",
       "      <td>Communication Services</td>\n",
       "      <td>-0.000684</td>\n",
       "      <td>0.348960</td>\n",
       "      <td>1.0</td>\n",
       "      <td>10.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>TRIP</th>\n",
       "      <td>TripAdvisor</td>\n",
       "      <td>Communication Services</td>\n",
       "      <td>-0.057043</td>\n",
       "      <td>0.431954</td>\n",
       "      <td>1.0</td>\n",
       "      <td>10.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>VIAB</th>\n",
       "      <td>Viacom Inc.</td>\n",
       "      <td>Communication Services</td>\n",
       "      <td>-0.045096</td>\n",
       "      <td>0.374098</td>\n",
       "      <td>1.0</td>\n",
       "      <td>10.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>TWTR</th>\n",
       "      <td>Twitter, Inc.</td>\n",
       "      <td>Communication Services</td>\n",
       "      <td>0.219160</td>\n",
       "      <td>0.537518</td>\n",
       "      <td>2.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ATVI</th>\n",
       "      <td>Activision Blizzard</td>\n",
       "      <td>Communication Services</td>\n",
       "      <td>0.126661</td>\n",
       "      <td>0.333178</td>\n",
       "      <td>2.0</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NFLX</th>\n",
       "      <td>Netflix Inc.</td>\n",
       "      <td>Communication Services</td>\n",
       "      <td>0.365293</td>\n",
       "      <td>0.404436</td>\n",
       "      <td>2.0</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>TTWO</th>\n",
       "      <td>Take-Two Interactive</td>\n",
       "      <td>Communication Services</td>\n",
       "      <td>0.422840</td>\n",
       "      <td>0.340315</td>\n",
       "      <td>2.0</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>CBS</th>\n",
       "      <td>CBS Corp.</td>\n",
       "      <td>Communication Services</td>\n",
       "      <td>0.034036</td>\n",
       "      <td>0.253248</td>\n",
       "      <td>3.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>DIS</th>\n",
       "      <td>The Walt Disney Company</td>\n",
       "      <td>Communication Services</td>\n",
       "      <td>0.043555</td>\n",
       "      <td>0.179009</td>\n",
       "      <td>3.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>IPG</th>\n",
       "      <td>Interpublic Group</td>\n",
       "      <td>Communication Services</td>\n",
       "      <td>0.016499</td>\n",
       "      <td>0.250783</td>\n",
       "      <td>3.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>OMC</th>\n",
       "      <td>Omnicom Group</td>\n",
       "      <td>Communication Services</td>\n",
       "      <td>0.036764</td>\n",
       "      <td>0.203436</td>\n",
       "      <td>3.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>T</th>\n",
       "      <td>AT&amp;T Inc.</td>\n",
       "      <td>Communication Services</td>\n",
       "      <td>0.018854</td>\n",
       "      <td>0.187806</td>\n",
       "      <td>3.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>DISCK</th>\n",
       "      <td>Discovery Inc. Class C</td>\n",
       "      <td>Communication Services</td>\n",
       "      <td>0.032040</td>\n",
       "      <td>0.318768</td>\n",
       "      <td>3.0</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>EA</th>\n",
       "      <td>Electronic Arts</td>\n",
       "      <td>Communication Services</td>\n",
       "      <td>0.093250</td>\n",
       "      <td>0.287135</td>\n",
       "      <td>3.0</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>FB</th>\n",
       "      <td>Facebook, Inc.</td>\n",
       "      <td>Communication Services</td>\n",
       "      <td>0.129728</td>\n",
       "      <td>0.291690</td>\n",
       "      <td>3.0</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NWS</th>\n",
       "      <td>News Corp. Class B</td>\n",
       "      <td>Communication Services</td>\n",
       "      <td>-0.013314</td>\n",
       "      <td>0.257048</td>\n",
       "      <td>3.0</td>\n",
       "      <td>6.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NWSA</th>\n",
       "      <td>News Corp. Class A</td>\n",
       "      <td>Communication Services</td>\n",
       "      <td>-0.003230</td>\n",
       "      <td>0.261326</td>\n",
       "      <td>3.0</td>\n",
       "      <td>6.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>DISCA</th>\n",
       "      <td>Discovery Inc. Class A</td>\n",
       "      <td>Communication Services</td>\n",
       "      <td>0.042898</td>\n",
       "      <td>0.327556</td>\n",
       "      <td>3.0</td>\n",
       "      <td>10.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>BKNG</th>\n",
       "      <td>Booking Holdings Inc</td>\n",
       "      <td>Consumer Discretionary</td>\n",
       "      <td>0.133476</td>\n",
       "      <td>0.256111</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>LOW</th>\n",
       "      <td>Lowe's Cos.</td>\n",
       "      <td>Consumer Discretionary</td>\n",
       "      <td>0.112334</td>\n",
       "      <td>0.243094</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ORLY</th>\n",
       "      <td>O'Reilly Automotive</td>\n",
       "      <td>Consumer Discretionary</td>\n",
       "      <td>0.138199</td>\n",
       "      <td>0.276958</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>DG</th>\n",
       "      <td>Dollar General</td>\n",
       "      <td>Consumer Discretionary</td>\n",
       "      <td>0.183684</td>\n",
       "      <td>0.265739</td>\n",
       "      <td>0.0</td>\n",
       "      <td>3.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>SLG</th>\n",
       "      <td>SL Green Realty</td>\n",
       "      <td>Real Estate</td>\n",
       "      <td>-0.069873</td>\n",
       "      <td>0.214023</td>\n",
       "      <td>3.0</td>\n",
       "      <td>6.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>WY</th>\n",
       "      <td>Weyerhaeuser</td>\n",
       "      <td>Real Estate</td>\n",
       "      <td>-0.045107</td>\n",
       "      <td>0.227088</td>\n",
       "      <td>3.0</td>\n",
       "      <td>6.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AES</th>\n",
       "      <td>AES Corp</td>\n",
       "      <td>Utilities</td>\n",
       "      <td>0.209673</td>\n",
       "      <td>0.258489</td>\n",
       "      <td>0.0</td>\n",
       "      <td>3.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AEE</th>\n",
       "      <td>Ameren Corp</td>\n",
       "      <td>Utilities</td>\n",
       "      <td>0.174228</td>\n",
       "      <td>0.165176</td>\n",
       "      <td>0.0</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AEP</th>\n",
       "      <td>American Electric Power</td>\n",
       "      <td>Utilities</td>\n",
       "      <td>0.122781</td>\n",
       "      <td>0.156656</td>\n",
       "      <td>0.0</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AWK</th>\n",
       "      <td>American Water Works Company Inc</td>\n",
       "      <td>Utilities</td>\n",
       "      <td>0.167980</td>\n",
       "      <td>0.174815</td>\n",
       "      <td>0.0</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>CMS</th>\n",
       "      <td>CMS Energy</td>\n",
       "      <td>Utilities</td>\n",
       "      <td>0.139762</td>\n",
       "      <td>0.156389</td>\n",
       "      <td>0.0</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>CNP</th>\n",
       "      <td>CenterPoint Energy</td>\n",
       "      <td>Utilities</td>\n",
       "      <td>0.198973</td>\n",
       "      <td>0.175776</td>\n",
       "      <td>0.0</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>D</th>\n",
       "      <td>Dominion Energy</td>\n",
       "      <td>Utilities</td>\n",
       "      <td>0.071047</td>\n",
       "      <td>0.160007</td>\n",
       "      <td>0.0</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>DTE</th>\n",
       "      <td>DTE Energy Co.</td>\n",
       "      <td>Utilities</td>\n",
       "      <td>0.149243</td>\n",
       "      <td>0.156931</td>\n",
       "      <td>0.0</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>DUK</th>\n",
       "      <td>Duke Energy</td>\n",
       "      <td>Utilities</td>\n",
       "      <td>0.111873</td>\n",
       "      <td>0.151411</td>\n",
       "      <td>0.0</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ED</th>\n",
       "      <td>Consolidated Edison</td>\n",
       "      <td>Utilities</td>\n",
       "      <td>0.100976</td>\n",
       "      <td>0.160692</td>\n",
       "      <td>0.0</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ES</th>\n",
       "      <td>Eversource Energy</td>\n",
       "      <td>Utilities</td>\n",
       "      <td>0.117750</td>\n",
       "      <td>0.159677</td>\n",
       "      <td>0.0</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ETR</th>\n",
       "      <td>Entergy Corp.</td>\n",
       "      <td>Utilities</td>\n",
       "      <td>0.128309</td>\n",
       "      <td>0.167532</td>\n",
       "      <td>0.0</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>EVRG</th>\n",
       "      <td>Evergy</td>\n",
       "      <td>Utilities</td>\n",
       "      <td>0.091895</td>\n",
       "      <td>0.169486</td>\n",
       "      <td>0.0</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>EXC</th>\n",
       "      <td>Exelon Corp.</td>\n",
       "      <td>Utilities</td>\n",
       "      <td>0.209750</td>\n",
       "      <td>0.180568</td>\n",
       "      <td>0.0</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>FE</th>\n",
       "      <td>FirstEnergy Corp</td>\n",
       "      <td>Utilities</td>\n",
       "      <td>0.115181</td>\n",
       "      <td>0.211416</td>\n",
       "      <td>0.0</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>LNT</th>\n",
       "      <td>Alliant Energy Corp</td>\n",
       "      <td>Utilities</td>\n",
       "      <td>0.144197</td>\n",
       "      <td>0.165905</td>\n",
       "      <td>0.0</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NEE</th>\n",
       "      <td>NextEra Energy</td>\n",
       "      <td>Utilities</td>\n",
       "      <td>0.206955</td>\n",
       "      <td>0.156903</td>\n",
       "      <td>0.0</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NI</th>\n",
       "      <td>NiSource Inc.</td>\n",
       "      <td>Utilities</td>\n",
       "      <td>0.130885</td>\n",
       "      <td>0.187717</td>\n",
       "      <td>0.0</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PEG</th>\n",
       "      <td>Public Serv. Enterprise Inc.</td>\n",
       "      <td>Utilities</td>\n",
       "      <td>0.142115</td>\n",
       "      <td>0.169339</td>\n",
       "      <td>0.0</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PNW</th>\n",
       "      <td>Pinnacle West Capital</td>\n",
       "      <td>Utilities</td>\n",
       "      <td>0.130822</td>\n",
       "      <td>0.161371</td>\n",
       "      <td>0.0</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>SRE</th>\n",
       "      <td>Sempra Energy</td>\n",
       "      <td>Utilities</td>\n",
       "      <td>0.091283</td>\n",
       "      <td>0.194904</td>\n",
       "      <td>0.0</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>WEC</th>\n",
       "      <td>Wec Energy Group Inc</td>\n",
       "      <td>Utilities</td>\n",
       "      <td>0.141291</td>\n",
       "      <td>0.159383</td>\n",
       "      <td>0.0</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>XEL</th>\n",
       "      <td>Xcel Energy Inc</td>\n",
       "      <td>Utilities</td>\n",
       "      <td>0.143296</td>\n",
       "      <td>0.157651</td>\n",
       "      <td>0.0</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PCG</th>\n",
       "      <td>PG&amp;E Corp.</td>\n",
       "      <td>Utilities</td>\n",
       "      <td>-0.161591</td>\n",
       "      <td>0.414822</td>\n",
       "      <td>1.0</td>\n",
       "      <td>4.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NRG</th>\n",
       "      <td>NRG Energy</td>\n",
       "      <td>Utilities</td>\n",
       "      <td>0.487006</td>\n",
       "      <td>0.414604</td>\n",
       "      <td>2.0</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>EIX</th>\n",
       "      <td>Edison Int'l</td>\n",
       "      <td>Utilities</td>\n",
       "      <td>0.051088</td>\n",
       "      <td>0.246127</td>\n",
       "      <td>3.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PPL</th>\n",
       "      <td>PPL Corp.</td>\n",
       "      <td>Utilities</td>\n",
       "      <td>-0.001082</td>\n",
       "      <td>0.178603</td>\n",
       "      <td>3.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>SO</th>\n",
       "      <td>Southern Co.</td>\n",
       "      <td>Utilities</td>\n",
       "      <td>0.037357</td>\n",
       "      <td>0.155510</td>\n",
       "      <td>3.0</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>504 rows × 6 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                               Security             GICS Sector   Returns  \\\n",
       "CHTR             Charter Communications  Communication Services  0.193109   \n",
       "FOX    Twenty-First Century Fox Class B  Communication Services  0.224767   \n",
       "FOXA   Twenty-First Century Fox Class A  Communication Services  0.228564   \n",
       "CMCSA                     Comcast Corp.  Communication Services  0.117273   \n",
       "GOOG               Alphabet Inc Class C  Communication Services  0.130921   \n",
       "GOOGL              Alphabet Inc Class A  Communication Services  0.125477   \n",
       "VZ               Verizon Communications  Communication Services  0.126162   \n",
       "DISH                       Dish Network  Communication Services -0.207734   \n",
       "CTL                     CenturyLink Inc  Communication Services -0.000684   \n",
       "TRIP                        TripAdvisor  Communication Services -0.057043   \n",
       "VIAB                        Viacom Inc.  Communication Services -0.045096   \n",
       "TWTR                      Twitter, Inc.  Communication Services  0.219160   \n",
       "ATVI                Activision Blizzard  Communication Services  0.126661   \n",
       "NFLX                       Netflix Inc.  Communication Services  0.365293   \n",
       "TTWO               Take-Two Interactive  Communication Services  0.422840   \n",
       "CBS                           CBS Corp.  Communication Services  0.034036   \n",
       "DIS             The Walt Disney Company  Communication Services  0.043555   \n",
       "IPG                   Interpublic Group  Communication Services  0.016499   \n",
       "OMC                       Omnicom Group  Communication Services  0.036764   \n",
       "T                             AT&T Inc.  Communication Services  0.018854   \n",
       "DISCK            Discovery Inc. Class C  Communication Services  0.032040   \n",
       "EA                      Electronic Arts  Communication Services  0.093250   \n",
       "FB                       Facebook, Inc.  Communication Services  0.129728   \n",
       "NWS                  News Corp. Class B  Communication Services -0.013314   \n",
       "NWSA                 News Corp. Class A  Communication Services -0.003230   \n",
       "DISCA            Discovery Inc. Class A  Communication Services  0.042898   \n",
       "BKNG               Booking Holdings Inc  Consumer Discretionary  0.133476   \n",
       "LOW                         Lowe's Cos.  Consumer Discretionary  0.112334   \n",
       "ORLY                O'Reilly Automotive  Consumer Discretionary  0.138199   \n",
       "DG                       Dollar General  Consumer Discretionary  0.183684   \n",
       "...                                 ...                     ...       ...   \n",
       "SLG                     SL Green Realty             Real Estate -0.069873   \n",
       "WY                         Weyerhaeuser             Real Estate -0.045107   \n",
       "AES                            AES Corp               Utilities  0.209673   \n",
       "AEE                         Ameren Corp               Utilities  0.174228   \n",
       "AEP             American Electric Power               Utilities  0.122781   \n",
       "AWK    American Water Works Company Inc               Utilities  0.167980   \n",
       "CMS                          CMS Energy               Utilities  0.139762   \n",
       "CNP                  CenterPoint Energy               Utilities  0.198973   \n",
       "D                       Dominion Energy               Utilities  0.071047   \n",
       "DTE                      DTE Energy Co.               Utilities  0.149243   \n",
       "DUK                         Duke Energy               Utilities  0.111873   \n",
       "ED                  Consolidated Edison               Utilities  0.100976   \n",
       "ES                    Eversource Energy               Utilities  0.117750   \n",
       "ETR                       Entergy Corp.               Utilities  0.128309   \n",
       "EVRG                             Evergy               Utilities  0.091895   \n",
       "EXC                        Exelon Corp.               Utilities  0.209750   \n",
       "FE                     FirstEnergy Corp               Utilities  0.115181   \n",
       "LNT                 Alliant Energy Corp               Utilities  0.144197   \n",
       "NEE                      NextEra Energy               Utilities  0.206955   \n",
       "NI                        NiSource Inc.               Utilities  0.130885   \n",
       "PEG        Public Serv. Enterprise Inc.               Utilities  0.142115   \n",
       "PNW               Pinnacle West Capital               Utilities  0.130822   \n",
       "SRE                       Sempra Energy               Utilities  0.091283   \n",
       "WEC                Wec Energy Group Inc               Utilities  0.141291   \n",
       "XEL                     Xcel Energy Inc               Utilities  0.143296   \n",
       "PCG                          PG&E Corp.               Utilities -0.161591   \n",
       "NRG                          NRG Energy               Utilities  0.487006   \n",
       "EIX                        Edison Int'l               Utilities  0.051088   \n",
       "PPL                           PPL Corp.               Utilities -0.001082   \n",
       "SO                         Southern Co.               Utilities  0.037357   \n",
       "\n",
       "       Volatility  Cluster  11_Clusters  \n",
       "CHTR     0.289851      0.0          2.0  \n",
       "FOX      0.235567      0.0          3.0  \n",
       "FOXA     0.238747      0.0          3.0  \n",
       "CMCSA    0.220051      0.0          9.0  \n",
       "GOOG     0.218075      0.0          9.0  \n",
       "GOOGL    0.218355      0.0          9.0  \n",
       "VZ       0.178684      0.0          9.0  \n",
       "DISH     0.336425      1.0          4.0  \n",
       "CTL      0.348960      1.0         10.0  \n",
       "TRIP     0.431954      1.0         10.0  \n",
       "VIAB     0.374098      1.0         10.0  \n",
       "TWTR     0.537518      2.0          1.0  \n",
       "ATVI     0.333178      2.0          2.0  \n",
       "NFLX     0.404436      2.0          5.0  \n",
       "TTWO     0.340315      2.0          5.0  \n",
       "CBS      0.253248      3.0          0.0  \n",
       "DIS      0.179009      3.0          0.0  \n",
       "IPG      0.250783      3.0          0.0  \n",
       "OMC      0.203436      3.0          0.0  \n",
       "T        0.187806      3.0          0.0  \n",
       "DISCK    0.318768      3.0          2.0  \n",
       "EA       0.287135      3.0          2.0  \n",
       "FB       0.291690      3.0          2.0  \n",
       "NWS      0.257048      3.0          6.0  \n",
       "NWSA     0.261326      3.0          6.0  \n",
       "DISCA    0.327556      3.0         10.0  \n",
       "BKNG     0.256111      0.0          2.0  \n",
       "LOW      0.243094      0.0          2.0  \n",
       "ORLY     0.276958      0.0          2.0  \n",
       "DG       0.265739      0.0          3.0  \n",
       "...           ...      ...          ...  \n",
       "SLG      0.214023      3.0          6.0  \n",
       "WY       0.227088      3.0          6.0  \n",
       "AES      0.258489      0.0          3.0  \n",
       "AEE      0.165176      0.0          9.0  \n",
       "AEP      0.156656      0.0          9.0  \n",
       "AWK      0.174815      0.0          9.0  \n",
       "CMS      0.156389      0.0          9.0  \n",
       "CNP      0.175776      0.0          9.0  \n",
       "D        0.160007      0.0          9.0  \n",
       "DTE      0.156931      0.0          9.0  \n",
       "DUK      0.151411      0.0          9.0  \n",
       "ED       0.160692      0.0          9.0  \n",
       "ES       0.159677      0.0          9.0  \n",
       "ETR      0.167532      0.0          9.0  \n",
       "EVRG     0.169486      0.0          9.0  \n",
       "EXC      0.180568      0.0          9.0  \n",
       "FE       0.211416      0.0          9.0  \n",
       "LNT      0.165905      0.0          9.0  \n",
       "NEE      0.156903      0.0          9.0  \n",
       "NI       0.187717      0.0          9.0  \n",
       "PEG      0.169339      0.0          9.0  \n",
       "PNW      0.161371      0.0          9.0  \n",
       "SRE      0.194904      0.0          9.0  \n",
       "WEC      0.159383      0.0          9.0  \n",
       "XEL      0.157651      0.0          9.0  \n",
       "PCG      0.414822      1.0          4.0  \n",
       "NRG      0.414604      2.0          5.0  \n",
       "EIX      0.246127      3.0          0.0  \n",
       "PPL      0.178603      3.0          0.0  \n",
       "SO       0.155510      3.0          9.0  \n",
       "\n",
       "[504 rows x 6 columns]"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "clustering_results_all = pd.concat([table,returns,clustering,clustering_11], axis=1).sort_values(by=['GICS Sector','Cluster','11_Clusters'])\n",
    "clustering_results_all"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ug8ceD9i6LdqWylDu4UMtQH3GdsLdU1nnvBP4WqE3bGioH/okKYieZenoWZaOnmXp6FmW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\n6MoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x24770385320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lmplot(x='Returns', y='Volatility', data= clustering_results_all,fit_reg=False,hue='11_Clusters', size=5, aspect=2)\n",
    "plt.title('ScatterPlot_individual_por_sectores_y_clustering_11')\n",
    "plt.savefig('ScatterPlot_clustering_11.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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PYKj/YcrjFUZH+qmWR4EqJAWe/uWPaFvxT6xddwk7H/0OT/9yM2MjfZTauii1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\nGka9AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x24771d17518>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lmplot(x='Returns', y='Volatility', data= clustering_results_all,fit_reg=False, col='11_Clusters',hue='11_Clusters', col_wrap=3)\n",
    "plt.title('ScatterPlot_individual_por_sectores_y_clustering_11')\n",
    "plt.savefig('ScatterPlot_individual_por_sectores_y_clustering_11.png');"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python [Root]",
   "language": "python",
   "name": "Python [Root]"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}