{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# A Cash-in-Advance Model\n", "\n", "Replicate CIA model from Chapter 4 of [Monetary Theory and Policy, 2nd edition](https://mitpress.mit.edu/books/monetary-theory-and-policy-second-edition) by Carl Walsh." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# Import numpy, pandas, linearsolve, scipy.optimize, matplotlib.pyplot\n", "import numpy as np\n", "import pandas as pd\n", "import linearsolve as ls\n", "from scipy.optimize import root,fsolve,broyden1,broyden2\n", "import matplotlib.pyplot as plt\n", "plt.style.use('classic')\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Set parameters" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "alpha = 0.36\n", "beta = 0.989\n", "delta = 0.019\n", "eta = 1\n", "psi = 1.34\n", "sigma = 2\n", "A = 1\n", "\n", "rhoa = 0.95\n", "gamma = 0.8\n", "phi=0.5" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Compute exact steady state" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "r_ss = 1/beta\n", "yk_ss= 1/alpha*(r_ss-1+delta)\n", "ck_ss = yk_ss-delta\n", "\n", "def func(n):\n", " '''Funciton to compute steady state labor'''\n", " return (1-alpha)/psi*beta*yk_ss**((sigma-alpha)/(1-alpha))*ck_ss**(-sigma) - (1-n)**-eta*n**sigma\n", "\n", "n_ss = root(func,0.3)['x'][0]\n", "\n", "nk_ss = (yk_ss)**(1/(1-alpha))\n", "\n", "k_ss = n_ss/nk_ss\n", "y_ss = yk_ss*k_ss\n", "\n", "c_ss = ck_ss*k_ss\n", "m_ss = c_ss\n", "a_ss = 1\n", "u_ss = 1\n", "pi_ss = 1\n", "\n", "lam_ss = beta*c_ss**-sigma\n", "mu_ss = (1-beta)*c_ss**-sigma\n", "\n", "# Store steady state values in a list\n", "ss = [a_ss,u_ss,m_ss,k_ss,pi_ss,r_ss,n_ss,c_ss,lam_ss,mu_ss,y_ss]\n", "\n", "# Load parameter values into a Pandas Series\n", "parameters = pd.Series({\n", " 'alpha':alpha,\n", " 'beta':beta,\n", " 'delta':delta,\n", " 'eta':eta,\n", " 'psi':psi,\n", " 'sigma':sigma,\n", " 'rhoa':rhoa,\n", " 'gamma':gamma,\n", " 'phi':phi,\n", " 'n_ss':n_ss,\n", " 'yk_ss':yk_ss,\n", " 'ck_ss':ck_ss\n", "})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Linear model\n", "\n", "Solve and simulate the log-linearized model." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Define function to compute equilibrium conditions\n", "def equations(variables_forward,variables_current,parameters):\n", " \n", " # Parameters \n", " p = parameters\n", " \n", " # Variables\n", " fwd = variables_forward\n", " cur = variables_current\n", " \n", " # Household Euler equation\n", " foc1 = p.alpha*cur.k+(1-p.alpha)*cur.n + fwd.a - cur.y\n", " foc2 = p.ck_ss*fwd.m + fwd.k - (1-p.delta)*cur.k - p.yk_ss*cur.y\n", " foc3 = p.alpha*p.yk_ss*(fwd.y - fwd.k) - cur.r\n", " foc4 = fwd.lam + cur.r - cur.lam\n", " foc5 = (1+p.eta*p.n_ss/(1-p.n_ss))*cur.n - cur.y - cur.lam\n", " foc6 = cur.r + fwd.pi - cur.rn\n", " foc7 = -p.sigma*fwd.maux-fwd.pi - cur.lam\n", " foc8 = cur.m-cur.pi+cur.u - fwd.m\n", " foc9 = cur.maux - fwd.m\n", " foc10= p.gamma*cur.u+p.phi*fwd.a - fwd.u\n", " foc11= p.rhoa*cur.a - fwd.a\n", " \n", " \n", " # Stack equilibrium conditions into a numpy array\n", " return np.array([\n", " foc1,\n", " foc2,\n", " foc3,\n", " foc4,\n", " foc5,\n", " foc6,\n", " foc7,\n", " foc8,\n", " foc9,\n", " foc10,\n", " foc11,\n", " ])\n", "\n", "# Initialize the model\n", "model = ls.model(equations = equations,\n", " n_states=4,\n", " n_exo_states=3,\n", " var_names=['a', 'u', 'm', 'k', 'lam', 'pi', 'rn', 'r', 'n', 'y','maux'],\n", " parameters = parameters)\n", "\n", "# Compute the steady state numerically\n", "guess = 0*np.array([1,1,10,10,1,1,0.5,2,1,1,1])\n", "model.compute_ss(guess,method='fsolve')\n", "\n", "# Construct figure and axes\n", "fig = plt.figure(figsize=(12,8))\n", "ax1 = fig.add_subplot(2,1,1)\n", "ax2 = fig.add_subplot(2,1,2)\n", "\n", "# Iterate over different degrees of persistence for money growth shock\n", "for gamma in [0.5,0.8]:\n", " \n", " model.parameters['gamma'] = gamma\n", " \n", " # Solve the model\n", " model.approximate_and_solve(log_linear=False)\n", " \n", " # Compute impulse responses and plot\n", " model.impulse(T=17,t0=1,shocks=None,percent=True)\n", "\n", " # Plot\n", " y = model.irs['e_u']['y']\n", " n = model.irs['e_u']['n']\n", " rn = model.irs['e_u']['rn']\n", " pi = model.irs['e_u']['pi']\n", " tme=rn.index\n", " \n", " ax1.plot(tme,y,lw=5,alpha=0.5,label='y ($\\gamma='+str(gamma)+'$)')\n", " ax1.plot(tme,n,'--',lw=5,alpha=0.5,label='n ($\\gamma='+str(gamma)+'$)')\n", " ax1.grid(True)\n", " ax1.legend(loc='lower right')\n", " ax2.plot(tme,rn,lw=5,alpha=0.5,label='Rn ($\\gamma='+str(gamma)+'$)')\n", " ax2.plot(tme,pi,'--',lw=5,alpha=0.5,label='$\\pi$ ($\\gamma='+str(gamma)+'$)')\n", " ax2.grid(True)\n", " ax2.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Nonlinear model\n", "\n", "Approximate, solve, and simulate the log-linearized model." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Define function to compute equilibrium conditions\n", "def equations(variables_forward,variables_current,parameters):\n", " \n", " # Parameters \n", " p = parameters\n", " \n", " # Variables\n", " fwd = variables_forward\n", " cur = variables_current\n", " \n", " # Household Euler equation\n", " foc_1 = cur.a**p.rhoa - fwd.a\n", " foc_2 = cur.u**p.gamma*cur.a**p.phi - fwd.u\n", " foc_3 = cur.lam+cur.mu - cur.c**-p.sigma\n", " foc_4 = cur.lam*(1-p.alpha)*cur.y/cur.n - p.psi*(1-cur.n)**-p.eta\n", " foc_5 = p.beta*(fwd.lam*cur.Rn)/fwd.pi - cur.lam\n", " \n", " foc_6 = p.beta*(fwd.mu+fwd.lam)/fwd.pi - cur.lam\n", " foc_7 = p.beta*(fwd.lam*(p.alpha*fwd.y/fwd.k+1-p.delta)) - cur.lam\n", " foc_8 = cur.a*cur.k**alpha*cur.n**(1-p.alpha) - cur.y\n", " foc_9 = cur.c+fwd.k-(1-p.delta)*cur.k - cur.y\n", " foc_10 = cur.m/cur.pi*cur.u - fwd.m\n", " \n", " foc_11 = fwd.m - cur.c\n", " \n", " \n", " # Stack equilibrium conditions into a numpy array\n", " return np.array([\n", " foc_1,\n", " foc_2,\n", " foc_3,\n", " foc_4,\n", " foc_5,\n", " foc_6,\n", " foc_7,\n", " foc_8,\n", " foc_9,\n", " foc_10,\n", " foc_11\n", " ])\n", "\n", "# Initialize the model\n", "varNames=['a','u','m','k','pi','Rn','n','c','lam','mu','y']\n", "parameters = parameters[['alpha','beta','delta','eta','psi','sigma','rhoa','gamma','phi']]\n", "\n", "\n", "model = ls.model(equations = equations,\n", " n_states=4,\n", " n_exo_states=3,\n", " var_names=varNames,\n", " parameters = parameters)\n", "\n", "# Set the steady state using exact values calculated above\n", "model.set_ss(ss)\n", "\n", "# Construct figure and axes\n", "fig = plt.figure(figsize=(12,8))\n", "ax1 = fig.add_subplot(2,1,1)\n", "ax2 = fig.add_subplot(2,1,2)\n", "\n", "# Iterate over different degrees of persistence for money growth shock\n", "for gamma in [0.5,0.8]:\n", " \n", " model.parameters['gamma'] = gamma\n", " \n", " # Find the log-linear approximation around the non-stochastic steady state\n", " model.approximate_and_solve()\n", "\n", " # Compute impulse responses and plot\n", " model.impulse(T=17,t0=1,shocks=None,percent=True)\n", "\n", " # Plot\n", " y = model.irs['e_u']['y']\n", " n = model.irs['e_u']['n']\n", " rn = model.irs['e_u']['Rn']\n", " pi = model.irs['e_u']['pi']\n", " tme=rn.index\n", " \n", " ax1.plot(tme,y,lw=5,alpha=0.5,label='y ($\\gamma='+str(gamma)+'$)')\n", " ax1.plot(tme,n,'--',lw=5,alpha=0.5,label='n ($\\gamma='+str(gamma)+'$)')\n", " ax1.grid(True)\n", " ax1.legend(loc='lower right')\n", " ax2.plot(tme,rn,lw=5,alpha=0.5,label='Rn ($\\gamma='+str(gamma)+'$)')\n", " ax2.plot(tme,pi,'--',lw=5,alpha=0.5,label='$\\pi$ ($\\gamma='+str(gamma)+'$)')\n", " ax2.grid(True)\n", " ax2.legend()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.9.7" } }, "nbformat": 4, "nbformat_minor": 1 }