python-pour-finance/06-Pandas-avec-Time-Series/Rolling et Expanding.ipynb

{
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  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Rolling et Expanding\n",
    "\n",
    "Une technique très courante avec les séries temporelles consiste à créer des données à partir d'une moyenne mobile. Regardons comment faire cela facilement avec pandas !"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# La meilleure façon de lire les données avec l'index des séries temporelles !\n",
    "df = pd.read_csv('time_data/walmart_stock.csv',index_col='Date',parse_dates=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "                 Open       High        Low      Close    Volume  Adj Close\n",
       "Date                                                                       \n",
       "2012-01-03  59.970001  61.060001  59.869999  60.330002  12668800  52.619235\n",
       "2012-01-04  60.209999  60.349998  59.470001  59.709999   9593300  52.078475\n",
       "2012-01-05  59.349998  59.619999  58.369999  59.419998  12768200  51.825539\n",
       "2012-01-06  59.419998  59.450001  58.869999  59.000000   8069400  51.459220\n",
       "2012-01-09  59.029999  59.549999  58.919998  59.180000   6679300  51.616215"
      ],
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     },
     "metadata": {},
     "execution_count": 3
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "<AxesSubplot:xlabel='Date'>"
      ]
     },
     "metadata": {},
     "execution_count": 4
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     "output_type": "display_data",
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139.916278 \r\nL 301.692626 139.528206 \r\nL 302.137846 144.883282 \r\nL 303.918727 143.175864 \r\nL 304.363947 143.175864 \r\nL 304.809167 137.432772 \r\nL 305.699607 154.662103 \r\nL 307.035268 158.309706 \r\nL 307.480488 148.841385 \r\nL 307.925708 146.125004 \r\nL 308.370928 139.450581 \r\nL 308.816148 142.322151 \r\nL 310.151809 143.253489 \r\nL 310.597029 148.530939 \r\nL 311.042249 147.754797 \r\nL 311.93269 142.011705 \r\nL 313.26835 137.898413 \r\nL 313.71357 127.964397 \r\nL 314.15879 127.964397 \r\nL 314.604011 124.161544 \r\nL 315.049231 122.91976 \r\nL 316.384891 125.325641 \r\nL 316.830111 127.809147 \r\nL 317.275332 122.842134 \r\nL 317.720552 125.946533 \r\nL 318.165772 124.161544 \r\nL 319.501432 120.746707 \r\nL 319.946653 120.20344 \r\nL 320.391873 114.615544 \r\nL 320.837093 119.504923 \r\nL 321.282313 120.436261 \r\nL 322.617974 121.212341 \r\nL 323.063194 118.263201 \r\nL 323.508414 120.513886 \r\nL 323.953634 116.633408 \r\nL 324.398854 117.952755 \r\nL 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348.885963 144.883282 \r\nL 349.331184 147.98768 \r\nL 350.666844 148.76376 \r\nL 351.557284 155.671012 \r\nL 352.002505 154.584478 \r\nL 352.447725 158.620152 \r\nL 353.783385 163.199147 \r\nL 354.228605 167.622892 \r\nL 354.673826 160.017124 \r\nL 355.119046 154.972494 \r\nL 355.564266 146.202629 \r\nL 356.899926 148.298126 \r\nL 357.345147 147.599609 \r\nL 357.790367 144.650461 \r\nL 358.235587 139.373011 \r\nL 358.680807 136.967075 \r\nL 360.016468 137.587967 \r\nL 360.461688 139.838653 \r\nL 360.906908 134.017935 \r\nL 361.352128 135.182086 \r\nL 361.797348 132.54333 \r\nL 363.133009 134.173123 \r\nL 363.578229 125.713712 \r\nL 364.023449 125.558516 \r\nL 364.468669 128.585289 \r\nL 366.24955 125.946533 \r\nL 366.69477 129.128548 \r\nL 367.13999 122.686946 \r\nL 367.58521 118.418397 \r\nL 368.030431 123.851098 \r\nL 369.366091 120.97952 \r\nL 369.811311 113.296197 \r\nL 370.256531 116.633408 \r\nL 370.701752 121.833233 \r\nL 371.146972 112.675305 \r\nL 372.482632 110.346994 \r\nL 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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "df['Open'].plot(figsize=(16,6))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Maintenant, ajoutons une moyenne glissante ! Cette méthode de roulement (rolling) fournit des entrées de lignes, où chaque entrée est alors représentative de la période. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "                 Open       High        Low      Close        Volume  \\\n",
       "Date                                                                   \n",
       "2012-01-03        NaN        NaN        NaN        NaN           NaN   \n",
       "2012-01-04        NaN        NaN        NaN        NaN           NaN   \n",
       "2012-01-05        NaN        NaN        NaN        NaN           NaN   \n",
       "2012-01-06        NaN        NaN        NaN        NaN           NaN   \n",
       "2012-01-09        NaN        NaN        NaN        NaN           NaN   \n",
       "2012-01-10        NaN        NaN        NaN        NaN           NaN   \n",
       "2012-01-11  59.495714  59.895714  59.074285  59.440000  9.007414e+06   \n",
       "2012-01-12  59.469999  59.744285  59.007143  59.321429  8.231357e+06   \n",
       "2012-01-13  59.322857  59.638571  58.941428  59.297143  7.965071e+06   \n",
       "2012-01-17  59.397143  59.708571  59.105714  59.358572  7.355329e+06   \n",
       "2012-01-18  59.450000  59.791428  59.217143  59.502857  7.047043e+06   \n",
       "2012-01-19  59.578572  59.960000  59.335715  59.707143  7.412086e+06   \n",
       "2012-01-20  59.767143  60.180000  59.577143  59.988571  7.908014e+06   \n",
       "2012-01-23  60.017143  60.387143  59.787143  60.204285  8.017800e+06   \n",
       "2012-01-24  60.154286  60.672857  59.979999  60.474285  8.035857e+06   \n",
       "2012-01-25  60.440000  60.958572  60.270000  60.749999  7.776786e+06   \n",
       "2012-01-26  60.715714  61.205714  60.448571  60.910000  7.624814e+06   \n",
       "2012-01-27  60.868572  61.361429  60.575714  61.010000  7.678514e+06   \n",
       "2012-01-30  60.945715  61.445714  60.661428  61.108571  7.450271e+06   \n",
       "2012-01-31  61.057143  61.491429  60.648571  61.158571  7.362086e+06   \n",
       "\n",
       "            Adj Close  \n",
       "Date                   \n",
       "2012-01-03        NaN  \n",
       "2012-01-04        NaN  \n",
       "2012-01-05        NaN  \n",
       "2012-01-06        NaN  \n",
       "2012-01-09        NaN  \n",
       "2012-01-10        NaN  \n",
       "2012-01-11  51.842984  \n",
       "2012-01-12  51.739567  \n",
       "2012-01-13  51.718386  \n",
       "2012-01-17  51.771963  \n",
       "2012-01-18  51.897808  \n",
       "2012-01-19  52.075984  \n",
       "2012-01-20  52.321443  \n",
       "2012-01-23  52.509586  \n",
       "2012-01-24  52.745077  \n",
       "2012-01-25  52.985553  \n",
       "2012-01-26  53.125103  \n",
       "2012-01-27  53.212323  \n",
       "2012-01-30  53.298295  \n",
       "2012-01-31  53.341905  "
      ],
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     },
     "metadata": {},
     "execution_count": 5
    }
   ],
   "source": [
    "# Moyenne glissante sur 7 jours\n",
    "df.rolling(7).mean().head(20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "<AxesSubplot:xlabel='Date'>"
      ]
     },
     "metadata": {},
     "execution_count": 6
    },
    {
     "output_type": "display_data",
     "data": {
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "df['Open'].plot()\n",
    "df.rolling(window=30).mean()['Close'].plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "La façon la plus simple d'ajouter une légende est de faire de cette valeur de roulement une nouvelle colonne, puis pandas le fait automatiquement !"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "<AxesSubplot:xlabel='Date'>"
      ]
     },
     "metadata": {},
     "execution_count": 7
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 1152x432 with 1 Axes>",
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "df['Close: 30 Day Mean'] = df['Close'].rolling(window=30).mean()\n",
    "df[['Close','Close: 30 Day Mean']].plot(figsize=(16,6))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## expanding\n",
    "\n",
    "Maintenant, que faire si vous voulez tout prendre en compte depuis le début de la série temporelle comme valeur mobile ? Par exemple, ne prendre pas seulement en compte une période de 7 jours, ou une moyenne mobile mensuelle, mais prendre en compte plutôt tout ce qui s'est passé depuis le début de la série temporelle, de façon continue :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "<AxesSubplot:xlabel='Date'>"
      ]
     },
     "metadata": {},
     "execution_count": 8
    },
    {
     "output_type": "display_data",
     "data": {
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "# Facultatif : spécifier un nombre minimum de périodes\n",
    "df['Close'].expanding(min_periods=1).mean().plot(figsize=(16,6))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Les Bandes de Bollinger\n",
    "\n",
    "Nous parlerons plus tard beaucoup plus des graphiques d'analyse financière et des indicateurs techniques, mais en voici un qui mérite d'être mentionné !\n",
    "\n",
    "Plus d'informations : http://www.investopedia.com/terms/b/bollingerbands.asp\n",
    "\n",
    "*Développées par John Bollinger, les Bandes de Bollinger® sont des bandes de volatilité placées au-dessus et au-dessous d'une moyenne mobile. La volatilité est basée sur l'écart-type, qui change au fur et à mesure que la volatilité augmente et diminue. Les bandes s'élargissent automatiquement lorsque la volatilité augmente et se rétrécissent lorsque la volatilité diminue. Cette nature dynamique des Bandes de Bollinger permet également de les utiliser sur différents titres avec les paramètres standards. Pour les signaux, les Bandes de Bollinger peuvent être utilisées pour identifier les valeurs hautes et les valeurs basses ou pour déterminer la force de la tendance.*\n",
    "\n",
    "*Les Bandes de Bollinger reflètent la direction avec la SMA (Moyenne Mobile Simple) à 20 périodes et la volatilité avec les bandes supérieures/inférieures. Elles peuvent donc être utilisées pour déterminer si les prix sont relativement élevés ou bas. Selon Bollinger, les bandes devraient contenir 88-89% d'action sur les prix, ce qui rend significatif un mouvement en dehors des bandes. Techniquement, les prix sont relativement élevés lorsqu'ils se situent au-dessus de la bande supérieure et relativement bas lorsqu'ils se situent en dessous de la bande inférieure. Cependant, un niveau relativement élevé ne doit pas être considéré comme une baisse ou un signal de vente. De même, un cours relativement bas ne doit pas être considéré comme haussier ou comme un signal d'achat. Les prix sont élevés ou bas pour une raison. Comme pour les autres indicateurs, les bandes de Bollinger ne sont pas destinées à être utilisées comme un outil autonome.*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "<AxesSubplot:xlabel='Date'>"
      ]
     },
     "metadata": {},
     "execution_count": 9
    },
    {
     "output_type": "display_data",
     "data": {
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128.31042 \r\nL 183.709282 127.636848 \r\nL 184.154502 127.894835 \r\nL 185.490162 127.606628 \r\nL 185.935382 127.673815 \r\nL 186.825823 128.408351 \r\nL 187.271043 129.731515 \r\nL 188.606703 130.927394 \r\nL 189.942364 131.328784 \r\nL 190.387584 130.342332 \r\nL 191.723245 129.56473 \r\nL 192.168465 129.571898 \r\nL 192.613685 128.377632 \r\nL 193.058905 128.548004 \r\nL 193.504125 126.832355 \r\nL 194.839786 122.373987 \r\nL 195.730226 116.987081 \r\nL 196.175446 115.51245 \r\nL 196.620666 115.115442 \r\nL 197.956327 114.741129 \r\nL 199.291987 114.90127 \r\nL 199.737208 115.235952 \r\nL 201.963308 115.496842 \r\nL 202.408529 115.193639 \r\nL 202.853749 113.826035 \r\nL 204.189409 113.047959 \r\nL 204.634629 112.928998 \r\nL 205.07985 112.567946 \r\nL 205.52507 111.650653 \r\nL 205.97029 111.188697 \r\nL 207.30595 110.915386 \r\nL 207.751171 110.988254 \r\nL 208.196391 112.835441 \r\nL 208.641611 111.971616 \r\nL 209.086831 111.962403 \r\nL 210.422492 113.800885 \r\nL 210.867712 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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "df['Close: 30 Day Mean'] = df['Close'].rolling(window=20).mean()\n",
    "df['Upper'] = df['Close: 30 Day Mean'] + 2*df['Close'].rolling(window=20).std()\n",
    "df['Lower'] = df['Close: 30 Day Mean'] - 2*df['Close'].rolling(window=20).std()\n",
    "df[['Close','Close: 30 Day Mean','Upper','Lower']].plot(figsize=(16,6))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Pour les opérations d'expansion, il n'est pas très utile de visualiser cela par rapport aux données quotidiennes, mais c'est plutôt un bon moyen d'avoir une idée de la \"stabilité\" d'un titre. Cette idée de stabilité et de volatilité est quelque chose que nous allons explorer en profondeur dans le prochain projet, alors c'est parti !"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "name": "python3",
   "display_name": "Python 3.7.9 64-bit ('pyfinance': conda)",
   "metadata": {
    "interpreter": {
     "hash": "e89404a230d8800c54ad520c7b67d1bd9bb833a07b37dd3e521a178a3dc34904"
    }
   }
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.9-final"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}