{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# *Numerical Methods for Economists: RBC modelling*" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import matplotlib as mpl\n", "from mpl_toolkits.mplot3d import Axes3D\n", "from scipy import linalg, interpolate, io" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Task 1: How well do you know your single period utility function? RBC edition!\n", "\n", "This task will help you build some intuition for the intra-period trade-off between consumption and leisure that is the economic mechanism which propogates total factor productivity shocks in all basic real business cycle (RBC) models. In this lab we will assume that the representative household has the following flow utility function: \n", "\n", "$$ u\\bigg(C_t, L_t\\bigg) = \\left(\\frac{C_t^{1 - \\theta} - 1}{1 - \\theta}\\right) + b \\left(\\frac{(1 - L_t)^{1 - \\omega} - 1}{1 - \\omega}\\right) $$\n", "\n", "where $C_{t}$, $L_{t}$ is labor (note that labor endowment has been normalized to 1!). The parameter $0 < \\theta$ is the coefficient of relative risk avesion, $0 < \\omega$ is the inverse inter-temporal elasticity of substitution between current and future leisure, and $0 < b$ controls the importance of leisure in determining flow utility. Note that if $\\theta = \\omega = 1$, then \n", "\n", "$$u\\bigg(C_t, L_t\\bigg) = \\ln C_t + b \\ln (1 - L_t) $$\n", "\n", "and we recover the flow utility function assumed by Romer and used in your lecture notes. Code this utility function in the cell below." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def u(C, L):\n", " \"\"\" \n", " In the standard RBC model utility in each period is a function of \n", " consumption, C, and leisure, 1 - L. Note that the representative\n", " household's labor endowment has been normalized to 1 for simplicity. \n", " \n", " Arguments:\n", " \n", " C: (array) Consumption\n", " L: (array) Labor supply\n", " \n", " Returns:\n", " \n", " utility: (array) Flow utility of the representative agent.\n", " \n", " \"\"\"\n", " if theta == 1.0:\n", " utility_consumption = np.log(C)\n", " else:\n", " utility_consumption = (C**(1 - theta) - 1) / (1 - theta)\n", " \n", " if omega == 1.0:\n", " utility_leisure = np.log(1 - L)\n", " else:\n", " utility_leisure = ((1 - L)**(1 - omega) - 1) / (1 - omega)\n", " \n", " # flow utility is weighted sum of utilities from consumption and leisure\n", " utility = utility_consumption + b * utility_leisure\n", " \n", " return utility" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "# Choose some parameter values\n", "b, theta, omega = 2.0, 1.0, 1.0\n", "\n", "# Check that the utility function is working properly!\n", "u(np.exp(1), 0)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 3, "text": [ "1.0" ] } ], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise:\n", "\n", "First, let's plot the utility surface using matplotlib 3D graphics functions for $b=2.5, \\theta=1.0, \\omega=1.0$. What to you notice about the shape of the utility surface? Rotate the plot by altering the `azim` argument of the `fig.gca()` function. What do you notice about the marginal utilities of consumption and leisure? Finally, change the parameters $b,\\theta,\\omega$. Try to anticipate how parameter changes will alter the utility surface. Do the actual changes confirm your expectations? Or not?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# create a new Figure object \n", "fig = plt.figure(figsize=(8,6))\n", "\n", "# create a 3D Axes object\n", "ax = fig.gca(projection='3d', elev=30, azim=310)\n", "\n", "# create a grid of (x,y) values which we will pass to function\n", "consumption = np.linspace(0, 10, 200)\n", "labor = np.linspace(0, 1, 20)\n", "L, C = np.meshgrid(labor, consumption)\n", "\n", "# Choose parameter values\n", "b, theta, omega = 5.0, 1.0, 1.0\n", "\n", "# we will actually plot output\n", "utility = u(C, L)\n", "\n", "# note the use of the new plot command!\n", "utility_surface = ax.plot_surface(L, C, utility, rstride=1, cstride=1, cmap=mpl.cm.terrain, \n", " linewidth=0, vmin=-10, vmax=np.max(utility), \n", " antialiased=False)\n", "\n", "# axes, labels, title, colorbar etc.\n", "ax.set_xlim(0, 1)\n", "ax.set_ylim(0, 10)\n", "ax.set_xlabel(r'Labor, $L_{t}$', fontsize=15, family='serif')\n", "ax.set_ylabel(r'Consumption, $C_{t}$', fontsize=15, family='serif')\n", "ax.set_title(r'$u(C,\\ L)$ for $b=%.2f, \\theta=%.2f, \\omega=%.2f$' %(b, theta, omega), \n", " fontsize=20, family='serif')\n", "fig.colorbar(utility_surface, shrink=0.75, aspect=10)\n", "\n", "# display the plot!\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "-c:19: RuntimeWarning: divide by zero encountered in log\n", "-c:24: RuntimeWarning: divide by zero encountered in log\n", "C:\\Program Files\\Enthought\\VE\\User\\lib\\site-packages\\mpl_toolkits\\mplot3d\\proj3d.py:156: RuntimeWarning: invalid value encountered in divide\n", " txs, tys, tzs = vecw[0]/w, vecw[1]/w, vecw[2]/w\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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AtfCbqQX4XRZ8FAy7UmF8EejhqIsJFHYDG9y9C4C9mrIjHVu/m22iej65vJi0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\nS0ybNg0LFizg39p79uwJAO0y49q2bRuUl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