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April 7, 2019 02:58
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| { | |
| "cells": [ | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "# Movimiento Browniano\n", | |
| "## Simulando el IPC\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "Autor: Guillermo Izquierdo \n", | |
| "Este código es para fines educativos exclusivamente " | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "Un proceso aleatorio que describe el comportamiento de ciertas variables aleatorias a medida que se desplazan en el tiempo. Este proceso se utiliza frecuentemente en los modelos financieros para describir la evolución de los precios a lo largo del tiempo. Cuando se aplica a los precios, el movimiento browniano da por supuesto que el cambio de un período de tiempo al siguiente no está relacionado ni con el nivel de precios ni con las series pasadas de cambios de precio. Es decir, cada cambio de precio es independiente de los cambios de precio anteriores y la volatilidad de los cambios de precio es constante. \n", | |
| "\n", | |
| "$$ \\delta S_t = \\mu S_t \\delta t + \\sigma S_t \\delta B_t $$ \n", | |
| "\n", | |
| "$$ S_{t+1} = S_t exp (( \\mu - \\frac{1}{2} \\sigma^2) \\delta t + \\sigma \\delta B_t) $$" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 1, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "import pandas as pd\n", | |
| "from pandas_datareader import data as pdr\n", | |
| "import numpy as np\n", | |
| "import datetime as date" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 2, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "enddate = date.datetime(2019,11,1)\n", | |
| "startdate = date.datetime(2000,1,1)\n", | |
| "\n", | |
| "ipc = pdr.get_data_yahoo('^MXX', start = startdate, end = enddate)['Close']" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 4, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "<matplotlib.axes._subplots.AxesSubplot at 0x157afd25780>" | |
| ] | |
| }, | |
| "execution_count": 4, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "ipc.plot()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 11, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "0.015589256959473306" | |
| ] | |
| }, | |
| "execution_count": 11, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "last_year = np.log(ipc[-252:])\n", | |
| "sigma = last_year.pct_change().std()*(252**0.5)\n", | |
| "sigma" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 10, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "array([-0.01411254])" | |
| ] | |
| }, | |
| "execution_count": 10, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "mu = (last_year[-1:].values / last_year[:1].values) - 1\n", | |
| "mu" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 7, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "window = 100\n", | |
| "T = 1.0\n", | |
| "last_price = ipc[-1:]" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 9, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "import scipy as sp \n", | |
| "import matplotlib.pyplot as plt\n", | |
| "%matplotlib inline\n", | |
| "\n", | |
| "sp.random.seed(100)\n", | |
| "paths = 7\n", | |
| "dt =T/window\n", | |
| "S = sp.zeros([window], dtype=float)\n", | |
| "x = range(0, int(window), 1)\n", | |
| "\n", | |
| "df = pd.DataFrame()\n", | |
| "# Figure setup\n", | |
| "fig=plt.figure()\n", | |
| "axis=fig.add_subplot(111)\n", | |
| "for j in range(0, paths):\n", | |
| " S[0]= last_price\n", | |
| " for i in x[:-1]:\n", | |
| " e=sp.random.normal()\n", | |
| " S[i+1]=S[i]+S[i]*(mu-0.5*pow(sigma,2))*dt+sigma*S[i]*sp.sqrt(dt)*e\n", | |
| " df[j] = S \n", | |
| " plt.plot(x, S,lw=2)\n", | |
| " \n", | |
| "plt.title('Caminos con Movimiento Browniano')\n", | |
| "axis.set_xlabel('Tiempo')\n", | |
| "axis.set_ylabel('Precio')\n", | |
| "axis.grid(True)\n", | |
| "plt.show()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 12, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/html": [ | |
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| " <th>5</th>\n", | |
| " <th>6</th>\n", | |
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| " <tr>\n", | |
| " <th>0</th>\n", | |
| " <td>7077.709961</td>\n", | |
| " <td>NaN</td>\n", | |
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| " </tr>\n", | |
| " <tr>\n", | |
| " <th>1</th>\n", | |
| " <td>6675.270020</td>\n", | |
| " <td>NaN</td>\n", | |
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| " <tr>\n", | |
| " <th>2</th>\n", | |
| " <td>6764.310059</td>\n", | |
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| " <tr>\n", | |
| " <th>3</th>\n", | |
| " <td>6751.649902</td>\n", | |
| " <td>NaN</td>\n", | |
| " <td>NaN</td>\n", | |
| " <td>NaN</td>\n", | |
| " <td>NaN</td>\n", | |
| " <td>NaN</td>\n", | |
| " <td>NaN</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>4</th>\n", | |
| " <td>7047.089844</td>\n", | |
| " <td>NaN</td>\n", | |
| " <td>NaN</td>\n", | |
| " <td>NaN</td>\n", | |
| " <td>NaN</td>\n", | |
| " <td>NaN</td>\n", | |
| " <td>NaN</td>\n", | |
| " </tr>\n", | |
| " </tbody>\n", | |
| "</table>\n", | |
| "</div>" | |
| ], | |
| "text/plain": [ | |
| " 0 1 2 3 4 5 6\n", | |
| "0 7077.709961 NaN NaN NaN NaN NaN NaN\n", | |
| "1 6675.270020 NaN NaN NaN NaN NaN NaN\n", | |
| "2 6764.310059 NaN NaN NaN NaN NaN NaN\n", | |
| "3 6751.649902 NaN NaN NaN NaN NaN NaN\n", | |
| "4 7047.089844 NaN NaN NaN NaN NaN NaN" | |
| ] | |
| }, | |
| "execution_count": 12, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "df2 = pd.concat([ipc,df], axis = 0)\n", | |
| "df2 = df2.reset_index()\n", | |
| "df2 = df2.drop(['index'], axis = 1)\n", | |
| "df2.head()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 13, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 1152x576 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "plt.style.use('dark_background')\n", | |
| "df3 = df2[-352:]\n", | |
| "fig2 = plt.figure(figsize = (16,8))\n", | |
| "axis2 = fig2.add_subplot(111)\n", | |
| "plt.plot(df3)\n", | |
| "plt.title('Simulación Precio del IPC con Movimiento Browniano')\n", | |
| "axis2.set_xlabel('Tiempo')\n", | |
| "axis2.set_ylabel('Precio')\n", | |
| "axis2.grid(True)\n", | |
| "plt.tick_params(\n", | |
| " axis='x', \n", | |
| " which='both', \n", | |
| " bottom=False, \n", | |
| " top=False, \n", | |
| " labelbottom=False) \n", | |
| "plt.show()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [] | |
| } | |
| ], | |
| "metadata": { | |
| "kernelspec": { | |
| "display_name": "Python 3", | |
| "language": "python", | |
| "name": "python3" | |
| }, | |
| "language_info": { | |
| "codemirror_mode": { | |
| "name": "ipython", | |
| "version": 3 | |
| }, | |
| "file_extension": ".py", | |
| "mimetype": "text/x-python", | |
| "name": "python", | |
| "nbconvert_exporter": "python", | |
| "pygments_lexer": "ipython3", | |
| "version": "3.6.7" | |
| } | |
| }, | |
| "nbformat": 4, | |
| "nbformat_minor": 2 | |
| } |
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