{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Introducción a la Programación en MATLAB (C8)\n", "\n", "Mauricio Tejada\n", "\n", "ILADES - Universidad Alberto Hurtado\n", "\n", "Agosto 2017" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Contenidos\n", "\n", "- [Aplicaciones II](#8.-Aplicaciones-II)\n", " - [Flujos vs. Stocks](#8.1-Flujos-Vs.-Stocks)\n", " - [Ciclos Económicos](#8.2-Ciclos-Económicos)\n", " - [La Curva de Laffer](#8.3-La-Curva-de-Laffer)\n", " - [El Modelo de la Telaraña](#8.4-El-Modelo-de-la-Telaraña)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 8. Aplicaciones II" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "### 8.1 Flujos Vs. Stocks\n", "\n", "En esta aplicación vamos a construir una serie de stock de capital para la economía chilena usando el *método de inventarios perpetuos*. Para ello contamos con información de cuentas nacionales sobre la formación bruta de capital fijo. \n", "\n", "El stock de capital de la economía ($K$) se comporta de acuerdo a $$K_{t+1} = K_t - \\delta K_t + I_t$$ donde $I$ es la inversión y $\\delta$ la tasa de depreciación. \n", "\n", "EL primer paso es cargar en Matlab los datos de inversión. Contamos con información anual desde 1960 a 2015:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "datos = xlsread('FBKFChile.xlsx','Datos','A2:B57');\n", "\n", "tiempo = datos(:,1);\n", "I = datos(:,2);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Usando los datos de inversión y la ecuación de acumulación capital, podemos construir la serie de stock de capital recursivamente:\n", "\n", "$$K_{1961} = K_{1960} - \\delta K_{1960} + I_{1960}$$\n", "$$K_{1962} = K_{1961} - \\delta K_{1961} + I_{1961}$$\n", "$$\\vdots$$\n", "$$K_{2015} = K_{2014} - \\delta K_{2014} + I_{2014}$$\n", "\n", "Los ingredientes necesarios son el capital inicial y la tasa de depreciación. Algunas estimaciones indican que $K_{1960} = 30201645$ y usamos $\\delta=0.05$ típicamente aplicada a datos anuales." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "T =\n", "\n", " 56\n" ] } ], "source": [ "T = length(I)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Usamos un Loop for para construir la serie:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "K = zeros(T,1);\n", "K(1) = 30201645;\n", "delta = 0.05;\n", "\n", "for i=2:T\n", " K(i) = K(i-1) - delta*K(i-1) + I(i-1);\n", "end;" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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dzYy33rFjR2Ji4vLlyz08PPT19QsLC48ePXrs2LF9+/aNGjWK02hfD5//EAAA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\n0wAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(tiempo,K,'r');\n", "title('Stock Real de Capital de Chile');\n", "ylabel('Miles de Millones de Pesos Encadenados');\n", "xlabel('Año');\n", "set(gca,'FontSize',8);" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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NS0hICAsLUx3jUN/Av2zatKk5hwUA8JJYrPcjGjZt2sRcDHUdizpsW0iDBw8O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\niFhMpNKXuaElem+YPETv8MbJpMuoKOLoSIRCEhX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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(tiempo,I,'b');\n", "title('Formación Bruta de Capital Fijo en Chile');\n", "ylabel('Miles de Millones de Pesos Encadenados');\n", "xlabel('Año');\n", "set(gca,'FontSize',8);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 8.2 Ciclos Económicos\n", "\n", "*Aplicación tomada de Análisis Económico con Matlab de Gonzalo Fernández de Córdoba Martos.*\n", "\n", "*Conjetura de Slutsky:* La economía es impedida de crecer sostenida y establemente a través de una senda de crecimiento lineal y sin fluctuaciones, debido a la actuación de factores exógenos o shocks.\n", "\n", "- Slutsky (1927) estableció las bases de una teoría del ciclo económico en *La sumatoria de causas aleatorias como fuente de procesos cíclicos.*\n", "- Frisch (1933) expone ideas similares en *Problemas de propagación y problemas de impulsos en la economía.*\n", "\n", "Supondremos que la economía está sujeta a shocks y que dichos shocks tienen asociados dos estados (llamémoslos, bueno y malo).\n", "\n", "El componente cíclico de la producción de la economía puede ser modelado como un procesos persistente (autoregresivo) sujeto a los shocks mencionados:\n", "\n", "$$y_t = \\rho y_{t-1} + \\epsilon_t$$\n", "\n", "donde $\\epsilon_t=1$ si el estado es bueno y $\\epsilon_t=-1$ si el estado es malo. La probabilidad de que la economía se encuentre en un estado bueno es 0.5.\n", "\n", "Suponemos que la economía inicialmente se encuentra en su tendencia.\n", "\n", "Definimos los parámetros del modelo:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "clear all;\n", "\n", "T = 100;\n", "y = zeros(T,1);\n", "eps = zeros(T,1);\n", "phi = 0.9;\n", "prob = 0.5;\n", "y(1) = 0;" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Simulamos el comportamiento del ciclo usando un loop for y un condicional if:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "for t=2:T\n", " if rand<=prob \n", " eps(t) = 1;\n", " else\n", " eps(t) = -1;\n", " end\n", " y(t) = phi*y(t-1)+eps(t);\n", "end" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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RA++KhSqDy1qEmAmSq2aEUYmfn6gaJEfQQhJJdFYHOTSWh8bdJEOKEfU1MWcH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\nCBIAAAApgCABAACQAggSAAAAKfj/n2e8t5vtX5oAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(y);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note que la presencia de shocks aleatorio genera ciclos en la serie $y_t$. Si $\\epsilon_t=0$ para todo $t$, entonces $y_t=0$ para todo $t$.\n", "\n", "La serie no es suave debido a la naturaleza discreta de los estados y el número reducido de ellos.\n", "\n", "Repitamos el ejercicio usando 4 estados: $\\epsilon_t$ puede tomar los siguientes valores $(-1,-0.5,0.5,1)$ cada uno con probabilidad 0.25." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true }, "outputs": [], "source": [ "y = zeros(T,1);\n", "eps = zeros(T,1);\n", "\n", "for t=2:T \n", " a=rand;\n", " if a<=0.25\n", " eps(t) = 1;\n", " elseif a<=0.5 \n", " eps(t) = 0.5;\n", " elseif a<=0.75 \n", " eps(t) = -0.5;\n", " else\n", " eps(t) = -1;\n", " end\n", " y(t) = phi*y(t-1)+eps(t);\n", "end" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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C9qCGRCKxePHihQsXXn/99dddd903vvGNvXv3PvXUU7t27brssssuuugi0QMEgBWPM7g8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\nYCFMpxKGoeGqxGFhIeC0gFAcnn8gP7l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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(y);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Suponiendo ahora que los shocks son una variable continua." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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EGCxeJRuTWEu+UCAuyQOWVFVa5E+cKZeIKPkq0Qi1+guBlntY6XgdhaVISdER\nm/pKd0tHqLpJZs5Degkrdjno1h6p7j0h5XE5dtZVNLb1N9eWCP+ClxdKe7W89lV88Y708N130ZsN\nBKP+3vDEC+JsXpbLZkvzjALBqJpazCxAD8kW0lseK50/kL5IqnfQmahiiUQ7ZT3B4Wqvs9rrDASH\nE3WSxEN2ggRi7RlxdLy3sa1f+BfUd1d77ZP2smO/ptiyQUj2no+LxHVPa8wQBCRb0Lg8ln8R6c4x\nKa1G1LIrgb83LPuLsBQpqUAwWl/p9rgc62tLpCO3yncqeg2H7qyb3VDpFl3c9bqTyNyYrXSFFvtk\nz4Ypki8IApJ9pLE8Vlr/SuvOMc58hZt0BcLsLOlrooekwN8b5nsPdDpHesGSPbH8WdXlWkYH7oRH\ndLyTCASj2vMLPK586RdES5KhIfj0SJ5ZqthRCEh2kd7yWFFPXxrVUhoqSXSTLkITmYRHTDQry5oe\nQR6Bx+Wo9jr5nDeKT+4XMssID097FpnszZbpNvaUvgvWFkspQ0CyizR6ErJz3cKolsZQCb1JV/6l\n/t4wF4kJF1QqXBdsuBQppWrZognt5lrxqGmianWyk/w60rFrq0uhNtk7NjN+rkRn1VwpPwhINpLG\nt0s61z3pBVXXDRK+gux6Jl5LZ6ih0i2sDSEcdJJln6VIXCResvFQY1u/+s6u6AaZnv+kFdwv7/Cb\n4bOq4w7CumRgywZIE413EbmKkWnvymEIBCS7kE1JUCAbA0R3terrBgnJrmfi+XvDzbUlfG0ILhLv\nUbF4xYx3sqlq6QiVbDzUMNe9vrZE5XSgbK68qHqCwh10z8kMlojWa1d70f5Y6bdHMkppogIHPOl5\nMFfKDwKSjaR0cZGfWpCMj6Uxdq+Q2iBMXmiodDfMdTe2fZR0FYUdliLVbO3zHwuH1s1r9pWonw6U\nrW1Bg33Ntj7uSnEg2Q8GLcid0RX+uuxq36PTZhayS0rNUuBASNTP07IrR/YhINmIbB5RIommFoTj\nY+mFAYXUBlExb3qhUTMra+1Eu5qtfR5XfmjdvMtV4FTPviSqjECDPR+TZBPJspDurMuvSLQeIA2i\nIQSz7CEkJO3nmaWsKoWAZCMepw6b0AijWkp1g4RkUxvo2ItowmNn3ezQunnKr2btpUi0Bp0wZ1ph\n7zuhRLUtqGZfyZWYlPDUcRGZXrK+NA7ZKawHSIP0zZor55sSnlLTDWUjINlIShfuREsCRQfT+8bK\nXlKFe5NPemayX2HhpUgtHSEuGu9umiN9KGlnN2muPI1JgeBwojMcCKZZVkMl6aKZVMmOSWppj/Cs\nmi7nm0hm5nRZoZVNCEg2ktKFO9GSQOEEhpZ+SX2lu7Gtn0/3CgSjGa28aUaB/uvNWgAAHuhJREFU\nYHR9Z0i0npRKmj1P1I1l1Ve6d9ZVyD6NDthmtIugvful72dG1B5zDXbxRDNz5poGQ0CyF/Vd+ETB\nRhjVtMyXNlS6u1fM4aLxko2HWjpCLR2htK8sllyKxEXiNVuPdzfdLnuGq71O5XuLxrZ+NWNZHpcj\n0WnPwvRJcSppn1JaPjNJ22Pej5PwD2e6aTAEJBtJKfNbocyzXt9VWk6me8Uc+uu0VGu23lKkls5Q\nor4LUbHpIs2e196MjHYRNL64/1hY3yLWwvZo34KWEeaaBkNAspeUbpdk68cIo5ouYxp0pyU+hSxt\n5r2llZV0OFThT6nLVH92LmRpT/7R5dL6zvFYYzLy8r4ehBATToMhINmL+sxvhWBDL4VMBQDrLUVK\nuhFRtdeZqOCCKHs+PXyKucbXUfoVGl68Jzi8Xo8uoAj/qTZv+UThvh5MfUnVQECyF10yv2mJ1TTq\nBmWUBe5tRZSv11WlRbJvWZo9zyzZtagqK/XpVS5I1B5B798iI8BMfUmTQkCyF5WZ38ol6+ncb3p1\ngzLEekuRkt7b0k0XpU+TzZ5PW6YvZ6KYFAhGVVbqy1AKHP+RNleBA6Fi1+WbTtPlfBMEJLtROUqu\nHGw8Vz7x7GSUWmP0X0T5gks3XRSlcuiYPe9x5mfhcuZxTspRVjnEpLzmV6PLFZXMmfNNBLv9Jiq2\nwjIEJNtR+Z1X+CjToSSm5mwslvmt8moo3Z6qpUN+3VIaPC6H7ILcjOoJDntcjqTTnJn77NHJSHNt\napcIU99QlRCQ7EVl5rfyR5le/QPBKDtDdsRamd+ylW2lRFVW/b1h0y0uFqaEkStZYUk7u5nbUoEf\njjbpeB0RjBaYa+MJCgHJdtRc6ZIWqav2FrG2u3NKpWMZp7YXy196IvGarX0tnaHuptsz3DSdCVPC\nCCFcJF5fOT3pdGDmsplpx8iMfQspLYuOjYKAZDsqL9zKwUZ0Y8sCNfVGTUTN6D8tCdjY1l+y8VC1\n1xlaN8+M9/V8f+jy8ikV04GZm+Chv92MfQueME/EdJ8HBCTbUZP5rXJVJlMf90Rp0Gak/g69vtLN\nRWJ0n6SMNilDhOmR/NIf5XudTO+bR4ejM/f6WcBPqZpuJgwByXbUZEgnzXmtKmXu/pGmQRvdCn2o\n39ejodLd3TTHdNcdWXQgTs00Z+aSx+hvN/UcEmXSvAwEJNvRJUOaJtox9YmnadBmv7flMTU/lzmT\navVeuaNXDsaZrqFAfztTn+1UeZyOnuCwGWMqApIdJe1JqOnsJ903zxDWyGuw2CJfZfTTKFxaJE1n\nF8pCfTZTRyPKpB8hBCTbSTokombgS82+edlnxltCWUkL2VkGv6GcqN+j0InP9NRItddp9g+Sx5Uf\nMNvGExQCkh0pf1JZK1KnnmhdjqlltKopU+iGcsJ+j8I0ZxamRuor3brs3GEg+gU346gvApIdKWd+\nM1WkLiWWKSBkmewMNfji8XykUfg7ZiHdgM3efxrM2M9DQLKjpPHGdCWwqKTb1pmINa6JKkn3fk0U\nkk23BaohzNg3ohCQ7Eh5aMvUy9QtcLUy4/IRLeiEh3ACSWGaMxCMmvdqmzWXkxVNeKIQkOxIeWhL\n/SIYBiknaLEg6fYKKgvZWYbsIutEZ8ACK4SywOPMN10RKQoByaaUZynMexPKeF5DIBj194aVQ6YZ\ndw3Qoljudl72xoJ+aM14459lHpc5dmiUQkCyIzok0tIRCgSj0ss3FzFrlh1hPq+htfcsseLmtlpU\ne52yt/PSsxQIRs1VyxxSlWd0A8AYzbUlPcHhQEeIi16uedW94nIFGi4aN2/OMeNVvPy94Z11Fa2K\nu3Sbeg4vDbJZbVWlRYGOkOhgT5DpwVjQDgHJphoq3fzNJheJt/aGa7b1Ncx1N/tKzJ5zTDdGYjAg\nXa5m7UpS3NbUc3h6SdTTNW8RblADQ3ZAPC5Hs6+ke8WcQDBasvEQMfkwPbN5DS2dofrK6Wp6n+ad\nw9OR9MYoC0WDwFgISHAZ3bK6Ya57vcmXqbOZ1+DvDdMMMeF2NbJMWoVMX7KZ38yOxIJeMGQHk5h0\nWx0hNvMaeoLDO+sq6L/ppTbRzb59CtkpE41bCquvglWhhwQWxOA0mL83zEeg5JUyTJtUoiPR0Csd\n8DSwPZAFCEhgNQxujERL41yt1aa4ATwGpnh8T7elI+RxmnVtDaiHgAQWVO110hU/jPAfCwvv7j1O\nh91yu9MgrPm9vjO0s262se2BLEBAAgtiKq+hZmuf9O5eoZo1ukcUPxfY2NYv7F+ChSEggQVVe51c\nJM5CTGrpCBFCupvmCA8q7Pdjt0J2yugfka4mNrotkA0ISGBN1d4iw1cjBYJR/7GwKBpRij0kZDQQ\nciXzu7GtH9HIPhCQwJqafSXG9pACwWjN1uOyF1Mk0alEO4vI9rYPrEMCazJ2NRIXiddsPd7ddLts\nYphCwb0h027XmwlIZLAb9JDAmjwuh8cpv8lbFrT2hhsq3Qppyh6Xg4vKTCMxuKTXQJbZTRxUQkAC\nyzIw+TsQjCqXAVXoBqGQHdiWOYbs2tvbu7u7RQdvuOGGtWvXGtIeMIX6SnfNtj5DfnUgOKw83ORx\n5fecHJZ2obhIDAWtwbbMEZD27t3b1dVVUFAgPDhjxgyj2gOmQEd7sl8i2t8brvYWKY81JdyiO4ot\nusG+zBGQBgYG5syZs3v3bqMbAiZD66Fl+RI/pCJ1u9jlaO0NNxPTl7IF0JEJ5pAuXLhw+vTpigqs\nRYCU1VdOz35eQ9IJJJJ4xylUagA7M0FAOnHixMTExC233GJ0Q8B8DEn+DgST98nY3CMDwFgmGLIb\nGBgghEyfPn3Tpk0ffPBBfn5+eXn5ww8/fOONNxrdNGAdn/ydtVE7NRNIiaB7BDZngh4SDUirVq3a\ntWtXJBI5fPjwq6++es899xw6dMjopoEJ1Fe6G9v6kz7N3xvWZXBPzQQSEayNFR5EITuwOXMEpJyc\nnOXLlx87duy3v/3te++9t2rVqpGRkbVr13799dfKP1t+xZYtW7LTWmBNtdfpcTr8vWHlpzW29euy\naEnNBNKVhhWJ1saikB1kyJYtW/iLodFtUcLQkN2aNWsuXrwoPLJhwwan07l58+bR0VE+yTs3N3fF\nihWDg4Nvv/12R0fHAw88oPCatHcFduZxOXbWza7Z1lftdSYaEKNdqEQVuFOSdAUSQPatXLly5cqV\n9N8sxySGekj79+/vnCwWixFCpk2bJl1yVFtbSwj55JNPDGgomI3H5aj2Ols6Q7KPcpG4XhscpDSB\nRNfGCo+gkB3YHEM9pOPHj8seHx8fz8nJycnJER4sLCwkhHz11VfZaBmYX3NtSc22Ptnshsa2j/Ta\n/03lBBIljT1cNI4yDWBnDPWQZHEcV1FRsXr1atFxOhZXWlpqRKPAfDwuR3NtiTS7IRCMBoLDtHuk\nPQ9b/QQSIaTYZVjtVwA2sR6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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "y = zeros(T,1);\n", "eps = zeros(T,1);\n", "\n", "for t=2:T \n", " eps(t)=0+2*randn(1,1);\n", " y(t) = phi*y(t-1)+eps(t);\n", "end\n", "plot(y);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 8.3 La Curva de Laffer" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Aplicación tomada de Análisis Económico con Matlab de Gonzalo Fernández de Córdoba Martos.*\n", "\n", "En este ejercicio vamos a analizar el efecto de los impuestos en el equilibrio de mercado. \n", "\n", "Suponemos que el gobierno impone un impuesto $t$ por unidad de producto en el mercado del bien $A$. Las funciones de demanda y la oferta de mercado están dadas por:\n", "\n", "$$p+t = a - b q^D$$\n", "$$p = c + d q^S$$\n", "\n", "con $p$ el precio, $q^D$ la cantidad demandada, $q^S$ la cantidad ofrecida y $a$, $b$, $c$ y $d$ parámetros.\n", "\n", "Usando el equilibrio de mercado $q^D=q^S=q$ y algo de álgebra podemos calcular: \n", "\n", "$$q = \\frac{a-(c+t)}{b+d}$$\n", "$$p_c = \\frac{ad+b(c+t)}{b+d}$$\n", "$$p_v = \\frac{d(a-t)+cb}{b+d}$$\n", "\n", "La recaudación del gobierno será:\n", "\n", "$$T = tq$$\n", "\n", "Usando algo de geometría podemos calcular también los excedentes de los productores, de los consumidores y del gobierno, así como también de la pérdida irrecuperable de bienestar ocasionada por el impuesto.\n", "\n", "$$EE = tq$$\n", "$$EC = \\frac{(a-p_c)q}{2}$$\n", "$$EP = \\frac{(p_v-c)q}{2}$$\n", "$$PIE = \\frac{t(q^{*}-q)}{2}$$ \n", "\n", "con $q^*=\\frac{a-c}{b+d}$.\n", "\n", "Escribamos una función que, dados los parámetros y el impuesto, calcule el equilibrio y los excedentes.\n", "\n", "```\n", "function out = equilibrio(param,t)\n", "\n", "% Calcula el equilibrio de mercado dados los parámetros del modelo\n", "\n", "a = param(1);\n", "b = param(2);\n", "c = param(3);\n", "d = param(4);\n", "\n", "% Equilibrio\n", "q = (a-(c+t))/(b+d);\n", "pc = (a*d+b*(c+t))/(b+d);\n", "pv = (d*(a-t)+c*b)/(b+d);\n", "\n", "qstar = (a-c)/(b+d); \n", "\n", "%Excedentes\n", "EE = t*q;\n", "EC = ((a-pc)*q)/2;\n", "EP = ((pv-c)*q)/2;\n", "PIE = (t*(qstar-q))/2; \n", "ET = EC + EP + EE; \n", "\n", "% Guardando resultados\n", "out.q = q;\n", "out.pc = pc;\n", "out.pv = pv;\n", "out.EE = EE;\n", "out.EC = EC;\n", "out.EP = EP;\n", "out.PIE = PIE;\n", "out.ET = ET;\n", "\n", "end\n", "\n", "```\n", "\n", "Definamos los valores de los parámetros y probemos la función en un contexto sin impuestos:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "q: 13.3333\n", " pc: 8.6667\n", " pv: 8.6667\n", " EE: 0\n", " EC: 8.8889\n", " EP: 44.4444\n", " PIE: 0\n", " ET: 53.3333\n" ] } ], "source": [ "clear all;\n", "\n", "a = 10;\n", "b = 0.1;\n", "c = 2;\n", "d = 0.5;\n", "\n", "p = [a; b; c; d];\n", "\n", "res_si = equilibrio(p,0);\n", "disp(res_si);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ahora supongamos que $t=1$:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ans =\n", "\n", " 8.8889\n" ] } ], "source": [ "res_si.EC" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "q: 11.6667\n", " pc: 8.8333\n", " pv: 7.8333\n", " EE: 11.6667\n", " EC: 6.8056\n", " EP: 34.0278\n", " PIE: 0.8333\n", " ET: 52.5000\n" ] } ], "source": [ "res_ci = equilibrio(p,1);\n", "disp(res_ci);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**La Curva de Laffer**\n", "\n", "Recordemos que la Curva de Laffer muestra la relación entre la recaudación y el impuesto. Para encontrar dicha curva tenemos que resolver el equilibrio para varios niveles de $t$. Usamos un loop while." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "inc = 0.1;\n", "\n", "t = 0;\n", "q = 1;\n", "\n", "Imp = [];\n", "Rec = [];\n", "\n", "while q>=0\n", " res = equilibrio(p,t);\n", " q = res.q;\n", " Rec = [Rec; res.EE];\n", " Imp = [Imp; t];\n", " t = t+inc;\n", "end" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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7oFu3bgqFgtVrUEdUVNSMGTMsLCyio6PXrl1bbZc/W1vbZs2a3b17Vy6Xq7bL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\nWlouXbrUdDoKcrl84cKF3t7ekydP5jsWfrC9K8+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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(Imp,Rec,'r');\n", "title('Curva de Laffer');\n", "xlabel('Impuesto');\n", "ylabel('Recaudación Fiscal');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*David Ricardo*: Si la función de oferta se hace más y más inelástica entonces la tasa a partir de la cual los ingresos fiscales se hacen decrecientes tiende a infinito.\n", "\n", "Repitamos el ejercicio anterior pero para dos curvas de oferta. Definamos nuevamente los parámetros:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": true }, "outputs": [], "source": [ "a = 10;\n", "b = 0.1;\n", "c = [2 -10];\n", "d = [0.5 1.4];\n", "\n", "inc = 0.1;\n", "\n", "np = length(d);\n", "T = 200;\n", "\n", "Imp = zeros(T,np);\n", "Rec = zeros(T,np);\n", " \n", "for j = 1:np;\n", " p = [a; b; c(j); d(j)];\n", " \n", " t = 0;\n", "\n", " for i=1:T;\n", " res = equilibrio(p,t);\n", " q = res.q;\n", " if q>=0;\n", " Rec(i,j) = res.EE;\n", " Imp(i,j) = t;\n", " else\n", " Rec(i,j) = 0;\n", " Imp(i,j) = t;\n", " end;\n", " t = t+inc;\n", " end;\n", "end;" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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sJyensLCQ3mvl5OSMGTPml19+off0O3fu7Ny589GjR/SeLuHkyZN79+6VaNy6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\nlkWqkVg/lgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(Imp(:,1),Rec(:,1),'r',Imp(:,2),Rec(:,2),'b');\n", "title('Curva de Laffer');\n", "xlabel('Impuesto');\n", "ylabel('Recaudación Fiscal');\n", "legend('Oferta Elástica','Oferta Inelástica');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Veamos como lucen las curvas de oferta:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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Nm+r2b7AlYwAwZMnJ5ONDoaEk81qxv/H5qshxye7BgweZmZnOzs7ffvut4tKAgIDWrVsL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\n4efnx/ys+HJhMoBzo8YjQPp+YkgkkrCwMMX5Cw8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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "of1 = @(x) c(1) + d(1)*x;\n", "of2 = @(x) c(2) + d(2)*x;\n", "\n", "x = 0:0.1:25;\n", "\n", "po1 = of1(x);\n", "po2 = of2(x);\n", "\n", "plot(x,po1,'r',x,po2,'b');\n", "title('Curva de Oferta');\n", "xlabel('Cantidad');\n", "ylabel('Precio');\n", "legend('Oferta Elástica','Oferta Inelástica');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 8.4 El Modelo de la Telaraña" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Aplicación tomada de Análisis Económico con Matlab de Gonzalo Fernández de Córdoba Martos.*\n", "\n", "El modelo de la telaraña supone que en un mercado son necesarios algunos periodos de prueba y error para que los agentes económicos aprendan cuáles son los precios de equilibrio. Durante este periodo la cantidad ofrecida podría no ser igual a la cantidad demandada. \n", "\n", "Como antes, suponemos que las funciones de demanda y la oferta de mercado están dadas por:\n", "\n", "$$p = a - b q^D$$\n", "$$p = c + d q^S$$\n", "\n", "Típicamente suponemos que $p$ se ajusta instantáneamente para que $q^D=q^S=q$.\n", "\n", "Ahora suponemos que existe un proceso en el que tanto consumidores como productores modifican sus planes de consumo e inversión hasta que encuentran el equilibrio. \n", "\n", "El proceso de ajuste vendrá dado por una ley de movimiento que gobierna el mercado:\n", "\n", "$$p_{t+1}-p_t = \\alpha (q_t^D - q_t^S)$$\n", "\n", "con $\\alpha>0$.\n", "\n", "- Si $q_t^D - q_t^S>0$, entonces $p_{t+1}-p_t>0$.\n", "- Si $q_t^D - q_t^S<0$, entonces $p_{t+1}-p_t<0$.\n", "\n", "El tamaño del ajuste depende del parámetro $\\alpha$. Sustituyendo las cantidades en oferta y demanda en la ley de movimiento del mercado en el instante $t$ obtenemos:\n", "\n", "$$p_{t+1}-p_t = \\alpha \\left(\\frac{ad+cb}{db}\\right) - \\alpha \\left(\\frac{d+b}{db}\\right) p_t $$\n", "\n", "En equilibrio $p_{t+1}=p_t=p^*$ (estado estacionario), entonces: $$p^* = \\frac{ad+cb}{b+d}$$. Usando este resultado:\n", "\n", "$$p_{t+1}-p_t = \\alpha \\left(\\frac{d+b}{db}\\right) (p^*-p_t )$$\n", "\n", "tenemos una ecuación en diferencias de primer orden.\n", "\n", " - Equilibrio estable con convergencia uniforme:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Precio de Equilibrio:\n", " 7.8182\n", "\n", "Ajuste:\n", " 0.1833\n", "\n", "\n", "ans =\n", "\n", " 3.9091\n" ] } ], "source": [ "clear all;\n", "\n", "% Definición de parámetros\n", "a = 10;\n", "b = 0.6;\n", "c = 2;\n", "d = 1.6;\n", "\n", "alpha = 0.08;\n", "T = 40;\n", "init = 0.5;\n", "pstar = (a*d + c*b)/(b+d);\n", "disp('Precio de Equilibrio:');\n", "disp(pstar);\n", "disp('Ajuste:');\n", "disp(alpha*(d+b)/(d*b));\n", "init*pstar\n", "\n", "p = zeros(T,1);\n", "p(1) = init*pstar;\n", "\n", "for i = 2:T;\n", " p(i) = p(i-1) + alpha*((d+b)/(d*b))*(pstar-p(i-1));\n", "end;" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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HhBDDhw+XVFc/2Zs6LLbmXAIJALpQPZCEENo96/785z+7z184nc5Vq1aJywt3BqJ9M6zs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\n2bNnx40bFxsb6x4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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(p)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- Equilibrio estable con convergencia no uniforme:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Precio de Equilibrio:\n", " 7.8182\n", "\n", "Ajuste:\n", " 1.8333\n" ] } ], "source": [ "alpha = 0.8;\n", "\n", "disp('Precio de Equilibrio:');\n", "disp(pstar);\n", "disp('Ajuste:');\n", "disp(alpha*(d+b)/(d*b));\n", "\n", "p = zeros(T,1);\n", "p(1) = init*pstar;\n", "\n", "for i = 2:T;\n", " p(i) = p(i-1) + alpha*((d+b)/(d*b))*(pstar-p(i-1));\n", "end;" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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EOA3oIVmZVBsia+TimUUEAAlEIPWJc2aP+dN111e1mmduV154LlpdiS50kdb2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\nNmwoLS1duHBh6D3cQ0v2798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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(p);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- Equilibrio explosivo:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Precio de Equilibrio:\n", " 7.8182\n", "\n", "Ajuste:\n", " 2.0625\n" ] } ], "source": [ "alpha = 0.9;\n", "\n", "disp('Precio de Equilibrio:');\n", "disp(pstar);\n", "disp('Ajuste:');\n", "disp(alpha*(d+b)/(d*b));\n", "\n", "p = zeros(T,1);\n", "p(1) = init*pstar;\n", "\n", "for i = 2:T;\n", " p(i) = p(i-1) + alpha*((d+b)/(d*b))*(pstar-p(i-1));\n", "end;" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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FRBicfiNNESFIKUT2FM4HXTKDUANFWE6onhGJ9tuSVXOiPbHhznL8edtqA4sM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\nnGbCkqY4/QRyIkiyiSOwj+s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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(p)" ] } ], "metadata": { "kernelspec": { "display_name": "Matlab", "language": "matlab", "name": "matlab" }, "language_info": { "file_extension": ".m", "help_links": [ { "text": "MetaKernel Magics", "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md" } ], "mimetype": "text/x-octave", "name": "matlab", "version": "0.9.4" } }, "nbformat": 4, "nbformat_minor": 1 }