{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# El ciclo económico en Costa Rica\n", "\n", "Este cuaderno lee datos del Banco Central de Costa Rica que han sido previamente almacenados en el archivo de Excel **Datos-business-cycle.xlsx** y aplica el filtro de Hodrick Prescott para analizar los ciclos.\n", "\n", "*Randall Romero-Aguilar, 2017*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Empezamos importando algunos paquetes que serán útiles para este trabajo: \n", "* numpy: importamos la función log\n", "* pandas: para manejar las bases de datos\n", "* statsmodels: importamos dos funciones, una para aplicar el filtro, otra para desestacionalizar series\n", "* seaborn: para que los gráficos sean más elegantes (opcional)\n", "\n", "Finalmente, la indicacion __%matplotlib inline__ es para que los gráficos aparezcan en este mismo archivo (en vez de una ventana emergente)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import pandas as pd\n", "from numpy import log\n", "from statsmodels.tsa.filters.hp_filter import hpfilter\n", "from statsmodels.tsa.seasonal import seasonal_decompose\n", "\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "En lo que sigue, se asume que los datos han sido previamente guardados en el archivo de Excel **Datos-business-cycle.xlsx**, ubicado en la misma carpeta que este cuaderno de Jupyter. Los datos se guardaron tal como fueron bajados desde el sitio web del BCCR. A los datos **no** se les aplicó ninguna transformación en Excel, únicamente se le cambió nombre a cada hoja de cálculo para que hiciera referencia al número de cuadro que se está utilizando." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Datos de cuentas nacionales\n", "\n", "Los datos están en la hoja *chart1677*, corresponden a\n", "* Producto Interno Bruto Trimestral y Gasto a precios constantes\n", "* Tendencia ciclo --- 1991 = 100\n", "* http://indicadoreseconomicos.bccr.fi.cr/indicadoreseconomicos/Cuadros/frmVerCatCuadro.aspx?CodCuadro=1677" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ahora leemos los datos usando la función __read_excel__ de pandas. La opción *skiprows=4* indica que deben ignorarse las primeras 4 líneas de la hoja de excel; *index_col=0* le indica a pandas que la primera columna tiene nombres (no datos). La *.T* al final transpone los datos." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "ctasnac = pd.read_excel('Datos-business-cycle.xlsx',sheetname='chart1677',skiprows=4,index_col=0).T" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "En el archivo original, los nombres de las series tienen muchos espacios en blanco. Para removerlos, aplicamos el método *.strip()* a los nombres originales. Luego sobreescribimos el nombre de las series cambiando la propiedad *.columns*." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "ctasnac.columns = [name.strip() for name in ctasnac.columns]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Seleccionamos las tres columnas de interés, y les cambiamos el nombre a las series a 'PIB', 'C', 'I'." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "ctasnac = ctasnac[['PRODUCTO INTERNO BRUTO', 'Gasto de consumo final de los hogares', 'Formación bruta de capital fijo']]\n", "ctasnac.columns = ['PIB', 'C', 'I']" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Indexamos los datos con la función de pandas **date_range**, indicando que el primer dato es de 1991q1, y que la serie es trimestral." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "ctasnac.index = pd.date_range('1991q1', periods=ctasnac.shape[0],freq='Q')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finalmente, aplicamos el filtro Hodrick-Prescott al **logaritmo** de los datos, y graficamos los resultados." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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U/pUDTYd5qPDTZEUHrf2Ya7bR89Yeeg/snzOijxh+U/TTlV043H5uuTJrXItR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\nqKzElJU1oPyCJEmsmZ/Rr+3cZBK/dh2ztq5DeeZXdOzbS/V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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ctasnac_ciclo, ctasnac_tendencia = hpfilter(log(ctasnac), 1600)\n", "ctasnac_ciclo.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Precios\n", "Los datos están en la hoja *chart2732*, corresponden a \n", "* Índice de precios al consumidor (IPC)\n", "* Junio 2015=100 --- Niveles y variaciones\n", "* http://indicadoreseconomicos.bccr.fi.cr/indicadoreseconomicos/Cuadros/frmVerCatCuadro.aspx?CodCuadro=2732&FecInicial=1991/01/01" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Al leer los datos de Excel, inmediatamente seleccionamos únicamente la serie 'Nivel', la cual renombramos como 'IPC'." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [], "source": [ "precios = pd.read_excel('Datos-business-cycle.xlsx',sheetname='chart2732',skiprows=4,index_col=0)[['Nivel']]\n", "precios.columns = ['IPC']" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Los datos originales son mensuales, por ello los indizamos como tales. Para poder compararlos con los datos de cuentas nacionales, los convertimos a datos trimestrales usando el método *.resample('Q')*, indicando que queremos el promedio de los tres meses correspondientes con *.mean()*." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [], "source": [ "precios.index = pd.date_range('1991-01', periods=precios.shape[0],freq='m')\n", "precios = precios.resample('Q').mean()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finalmente, aplicamos el filtro de HP." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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eePVA+vtw08FeTJLEA89k7wIWjSXwB2MlWTug2aftbjsXp0WkXxHSnr6RJ3Iz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\n4BWp574CcNZm1OWjKEpAURS/LMtu4L+ADwKSoih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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "precios_ciclo, precios_tendencia = hpfilter(log(precios), 1600)\n", "precios_ciclo.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Dinero\n", "\n", "Los datos están en la hoja *chart125*, corresponden a\n", "* Medio circulante (M1) medido a nivel del sistema bancario\n", "* Saldos a fin de mes en millones de colones\n", "* http://indicadoreseconomicos.bccr.fi.cr/indicadoreseconomicos/Cuadros/frmVerCatCuadro.aspx?CodCuadro=125&FecInicial=1991/01/01" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Leemos los datos y los graficamos:\n" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dinero = pd.read_excel('Datos-business-cycle.xlsx',sheetname='chart125',skiprows=4,index_col=0)\n", "dinero = dinero.stack()\n", "dinero.name = 'M1'\n", "dinero.index = pd.date_range('1991-01', periods=dinero.shape[0],freq='m')\n", "log(dinero).plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "La serie del **M1** tiene un fuerte componente estacional. Por ejemplo, los diciembres la cantidad de dinero aumenta considerablemente debido al pago de aguinaldos. Esto lo podemos cuantificar con la función **seasonal_decompose**, con la versión multiplicativa. En el gráfico se muestra que típicamente el M1 es 12.5% superior en diciembre respecto a la media del año." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\statsmodels\\tsa\\filters\\filtertools.py:28: VisibleDeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n", " return np.r_[[np.nan] * head, x, [np.nan] * tail]\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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wvr5X4OsN+MzNfQBazYAh9/aarKxsK8WxurYDQPPQxQCarbZyHJEH5bU92mFE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\nL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U8AOI7zPHBL4Hf7gFccx5n0MsUvArfjZqNztm1/17btJ71AG+Bm4Afevx8HfklkIDJo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\nRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "seasonal_decompose(dinero,'mult').seasonal.plot(figsize=[12,4])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Aunque la serie del **M1** que necesitamos es la trimestral, es de esperar que su fuerte componente estacional también se refleje en la serie trimestral. Por ello, cuantificamos de nuevo este componentes con la función **seasonal_decompose**y guardamos el componente __.seasonal__ como *m1_seasonal*.\n", "\n", "Para eliminar el componente estacional de los datos, dividimos los datos originales entre *m1_seasonal*. Hecho esto, le aplicamos el filtro HP al logartimo de las serie.\n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\statsmodels\\tsa\\filters\\filtertools.py:28: VisibleDeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n", " return np.r_[[np.nan] * head, x, [np.nan] * tail]\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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K/haiIKNHuSH641eX+b///oV8NGKQTGd59NkJ3A4rb71j54af53ZaSaazFadC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\nB8CfAb9Y6YYng1FUYOdQa3rKm7Ft0IP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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dinero = dinero.resample('Q').mean()\n", "m1_seasonal = seasonal_decompose(dinero,'mult').seasonal\n", "dinero /= m1_seasonal\n", "\n", "dinero_ciclo, dinero_tendencia = hpfilter(log(dinero), 1600)\n", "dinero_ciclo.plot()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Empleo\n", "\n", "Los datos están en la hoja *chart1914*, que corresponde a\n", "* Población ocupada en el empleo principal según posición en el empleo\n", "* Número de personas por trimestre\n", "* http://indicadoreseconomicos.bccr.fi.cr/indicadoreseconomicos/Cuadros/frmVerCatCuadro.aspx?CodCuadro=1914" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finalmente, leemos los datos de empleo, los cuales transponemos para que las columnas correspondan a series y las filas a trimestres. Utilizamos únicamente la serie 'Asalariado', la cual renombramos como 'N'." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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nWzl20ok9M/mcY5Huh2/6aGFOakK+F/6yUyx87+bV/OJP+9i69ywAn99cTltb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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "empleo = pd.read_excel('Datos-business-cycle.xlsx',sheetname='chart1914',skiprows=4,index_col=0).T\n", "empleo.index = pd.date_range('2010q3', periods=empleo.shape[0],freq='Q')\n", "empleo = empleo[['Asalariado']]\n", "empleo.columns = ['N']\n", "\n", "empleo_ciclo, empleo_tendencia = hpfilter(log(empleo))\n", "empleo_ciclo.plot()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Correlaciones de los ciclos " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Juntamos todos los datos de los ciclos en una misma base de datos" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": true }, "outputs": [], "source": [ "datos = pd.concat([ctasnac_ciclo, precios_ciclo, dinero_ciclo, empleo_ciclo], axis=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Las correlaciones de estas series con el PIB puede calcularse usando el método __.corrwith__." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "PIB 1.000000\n", "C 0.748236\n", "I 0.686924\n", "IPC -0.254874\n", "M1 0.664083\n", "N 0.525185\n", "dtype: float64" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "datos.corrwith(datos['PIB'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Estas correlaciones las ilustramos graficando cada serie contra el PIB. En cada gráfico mostramos además una regresión lineal entre la serie respectiva y el PIB." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "data": { "image/png": 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7LpnVrvPlhorb7SLkz6w2t7untS6/K7q73XnWDAtjzCPAN4BPA99c2fwx4CvG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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(nrows=5, ncols=1,sharex=True,figsize=[6,30],)\n", "for var, eje in zip(datos.columns[1:], ax):\n", " sns.regplot(x=\"PIB\", y=var, data=datos,ax=eje)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Acá calculamos de nuevo las correlaciones, pero esta vez con el rezago, el valor contemporaneo, y el valor adelantado del PIB" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/html": [ "
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t-1tt+1
PIB0.9313151.0000000.931315
C0.7265980.7482360.698410
I0.6502570.6869240.647775
IPC-0.280403-0.254874-0.237753
M10.6205700.6640830.643834
N0.3494550.5251850.505711
\n", "
" ], "text/plain": [ " t-1 t t+1\n", "PIB 0.931315 1.000000 0.931315\n", "C 0.726598 0.748236 0.698410\n", "I 0.650257 0.686924 0.647775\n", "IPC -0.280403 -0.254874 -0.237753\n", "M1 0.620570 0.664083 0.643834\n", "N 0.349455 0.525185 0.505711" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "correlaciones = pd.DataFrame([datos.corrwith(datos['PIB'].shift(t)) for t in [-1,0,1]])\n", "correlaciones.index = ['t-1', 't', 't+1']\n", "correlaciones.T" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Volatilidad relativa de los ciclos " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finalmente, calculamos la volatilidad de cada serie, relativa a la del PIB." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "PIB 100.000000\n", "C 59.637276\n", "I 287.567259\n", "IPC 95.581168\n", "M1 289.570549\n", "N 122.093110\n", "dtype: float64" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "volatilidad = 100 * datos.std() / datos['PIB'].std()\n", "volatilidad" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Puede verse que el consumo es menos volátil que el PIB, mientras que la inversión y el dinero son mucho más volátiles." ] } ], "metadata": { "anaconda-cloud": {}, "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": "3.6.0" } }, "nbformat": 4, "nbformat_minor": 2 }