{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Overview and Examples\n", "\n", "A brief description of what linearsolve is for followed by examples.\n", "\n", "\n", "## What linearsolve Does\n", "\n", "linearsolve defines a class - linearsolve.model - with several functions for approximating, solving, and simulating dynamic stochastic general equilibrium (DSGE) models. The equilibrium conditions for most DSGE models can be expressed as a vector function $f$:\n", "\n", "\\begin{align}\n", "f(E_t X_{t+1}, X_t, \\epsilon_{t+1}) = 0,\n", "\\end{align}\n", "\n", "where 0 is an $n\\times 1$ vector of zeros, $X_t$ is an $n\\times 1$ vector of endogenous variables, and $\\epsilon_{t+1}$ is an $m\\times 1$ vector of exogenous structural shocks to the model. $E_tX_{t+1}$ denotes the expecation of the $t+1$ endogenous variables based on the information available to agents in the model as of time period $t$. \n", "\n", "\n", "linearsolve.model has methods for computing linear and log-linear approximations of the model given above and methods for solving and simulating the linear model." ] }, { "cell_type": "raw", "metadata": { "raw_mimetype": "text/restructuredtext" }, "source": [ "See the documentation of the :doc:`model_class` class to learn more about these methods. ``linearsolve`` also has some :doc:`additional_functions`. See :doc:`how_linear_solve_works` to learn about more about the solution method." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 1: Quickly Simulate an RBC Model\n", "\n", "Here I demonstrate how how relatively straightforward it is to appoximate, solve, and simulate a DSGE model using `linearsolve`. In the example that follows, I describe the procedure more carefully.\n", "\n", "\\begin{align}\n", "C_t^{-\\sigma} & = \\beta E_t \\left[C_{t+1}^{-\\sigma}(\\alpha A_{t+1} K_{t+1}^{\\alpha-1} + 1 - \\delta)\\right]\\\\\n", "C_t + K_{t+1} & = A_t K_t^{\\alpha} + (1-\\delta)K_t\\\\\n", "\\log A_{t+1} & = \\rho_a \\log A_{t} + \\epsilon_{t+1}\n", "\\end{align}\n", "\n", "In the block of code that immediately follows, I input the model, solve for the steady state, compute the log-linear approximation of the equilibirum conditions, and compute some impulse responses following a shock to technology $A_t$." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Import numpy, pandas, linearsolve, matplotlib.pyplot\n", "import numpy as np\n", "import pandas as pd\n", "import linearsolve as ls\n", "import matplotlib.pyplot as plt\n", "plt.style.use('classic')\n", "%matplotlib inline\n", "\n", "# Input model parameters\n", "parameters = pd.Series(dtype=float)\n", "parameters['alpha'] = .35\n", "parameters['beta'] = 0.99\n", "parameters['delta'] = 0.025\n", "parameters['rhoa'] = .9\n", "parameters['sigma'] = 1.5\n", "parameters['A'] = 1\n", "\n", "# Funtion that evaluates the 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", " euler_eqn = p.beta*fwd.c**-p.sigma*(p.alpha*fwd.a*fwd.k**(p.alpha-1)+1-p.delta) - cur.c**-p.sigma\n", " \n", " # Goods market clearing\n", " market_clearing = cur.c + fwd.k - (1-p.delta)*cur.k - cur.a*cur.k**p.alpha\n", " \n", " # Exogenous technology\n", " technology_proc = p.rhoa*np.log(cur.a) - np.log(fwd.a)\n", " \n", " # Stack equilibrium conditions into a numpy array\n", " return np.array([\n", " euler_eqn,\n", " market_clearing,\n", " technology_proc\n", " ])\n", "\n", "# Initialize the model\n", "model = ls.model(equations = equations,\n", " n_states=2,\n", " n_exo_states = 1,\n", " var_names=['a','k','c'],\n", " parameters = parameters)\n", "\n", "# Compute the steady state numerically\n", "guess = [1,1,1]\n", "model.compute_ss(guess)\n", "\n", "# Find the log-linear approximation around the non-stochastic steady state and solve\n", "model.approximate_and_solve()\n", "\n", "# Compute impulse responses and plot\n", "model.impulse(T=41,t0=5,shocks=None)\n", "\n", "fig = plt.figure(figsize=(12,4))\n", "ax1 =fig.add_subplot(1,2,1)\n", "model.irs['e_a'][['a','k','c']].plot(lw='5',alpha=0.5,grid=True,ax=ax1).legend(loc='upper right',ncol=3)\n", "ax2 =fig.add_subplot(1,2,2)\n", "model.irs['e_a'][['e_a','a']].plot(lw='5',alpha=0.5,grid=True,ax=ax2).legend(loc='upper right',ncol=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 2: An RBC Model with More Details\n", "\n", "Consider the equilibrium conditions for a basic RBC model without labor:\n", "\n", "\\begin{align}\n", "C_t^{-\\sigma} & = \\beta E_t \\left[C_{t+1}^{-\\sigma}(\\alpha A_{t+1} K_{t+1}^{\\alpha-1} + 1 - \\delta)\\right]\\\\\n", "Y_t & = A_t K_t^{\\alpha}\\\\\n", "I_t & = K_{t+1} - (1-\\delta)K_t\\\\\n", "Y_t & = C_t + I_t\\\\\n", "\\log A_t & = \\rho_a \\log A_{t-1} + \\epsilon_t\n", "\\end{align}\n", "\n", "In the nonstochastic steady state, we have:\n", "\n", "\\begin{align}\n", "K & = \\left(\\frac{\\alpha A}{1/\\beta+\\delta-1}\\right)^{\\frac{1}{1-\\alpha}}\\\\\n", "Y & = AK^{\\alpha}\\\\\n", "I & = \\delta K\\\\\n", "C & = Y - I\n", "\\end{align}\n", "\n", "Given values for the parameters $\\beta$, $\\sigma$, $\\alpha$, $\\delta$, and $A$, steady state values of capital, output, investment, and consumption are easily computed.\n", "\n", "### Initializing the model in `linearsolve`\n", "\n", "To initialize the model, we need to first set the model's parameters. We do this by creating a Pandas Series variable called `parameters`:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Input model parameters\n", "parameters = pd.Series(dtype=float)\n", "parameters['alpha'] = .35\n", "parameters['beta'] = 0.99\n", "parameters['delta'] = 0.025\n", "parameters['rhoa'] = .9\n", "parameters['sigma'] = 1.5\n", "parameters['A'] = 1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, we need to define a function that returns the equilibrium conditions of the model. The function will take as inputs two vectors: one vector of \"current\" variables and another of \"forward-looking\" or one-period-ahead variables. The function will return an array that represents the equilibirum conditions of the model. We'll enter each equation with all variables moved to one side of the equals sign. For example, here's how we'll enter the produciton fucntion:\n", "\n", "`production_function = technology_current*capital_current**alpha - output_curent`\n", "\n", "Here the variable `production_function` stores the production function equation set equal to zero. We can enter the equations in almost any way we want. For example, we could also have entered the production function this way:\n", "\n", "`production_function = 1 - output_curent/technology_current/capital_current**alpha`\n", "\n", "One more thing to consider: the natural log in the equation describing the evolution of total factor productivity will create problems for the solution routine later on. So rewrite the equation as:\n", "\n", "\\begin{align}\n", "A_{t+1} & = A_{t}^{\\rho_a}e^{\\epsilon_{t+1}}\\\\\n", "\\end{align}\n", "\n", "So the complete system of equations that we enter into the program looks like:\n", "\n", "\\begin{align}\n", "C_t^{-\\sigma} & = \\beta E_t \\left[C_{t+1}^{-\\sigma}(\\alpha Y_{t+1} /K_{t+1}+ 1 - \\delta)\\right]\\\\\n", "Y_t & = A_t K_t^{\\alpha}\\\\\n", "I_t & = K_{t+1} - (1-\\delta)K_t\\\\\n", "Y_t & = C_t + I_t\\\\\n", "A_{t+1} & = A_{t}^{\\rho_a}e^{\\epsilon_{t+1}}\n", "\\end{align}\n", "\n", "Now let's define the function that returns the equilibrium conditions:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "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", " euler_eqn = p.beta*fwd.c**-p.sigma*(p.alpha*fwd.y/fwd.k+1-p.delta) - cur.c**-p.sigma\n", " \n", " # Production function\n", " production_fuction = cur.a*cur.k**p.alpha - cur.y\n", " \n", " # Capital evolution\n", " capital_evolution = fwd.k - (1-p.delta)*cur.k - cur.i\n", " \n", " # Goods market clearing\n", " market_clearing = cur.c + cur.i - cur.y\n", " \n", " # Exogenous technology\n", " technology_proc = cur.a**p.rhoa- fwd.a\n", " \n", " # Stack equilibrium conditions into a numpy array\n", " return np.array([\n", " euler_eqn,\n", " production_fuction,\n", " capital_evolution,\n", " market_clearing,\n", " technology_proc\n", " ])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that inside the function we have to define the variables of the model form the elements of the input vectors `variables_forward` and `variables_current`.\n", "\n", "## Initializing the model\n", "\n", "To initialize the model, we need to specify the total number of state variables in the model, the number of state variables with exogenous shocks, the names of the endogenous variables, and the parameters of the model. \n", "\n", "It is *essential* that the variable names are ordered in the following way: First the names of the endogenous variables with the state variables with exogenous shocks, then the state variables without shocks, and finally the control variables. Ordering within the groups doesn't matter." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# Initialize the model\n", "rbc = ls.model(equations = equations,\n", " n_states=2,\n", " n_exo_states=1,\n", " var_names=['a','k','c','y','i'],\n", " parameters=parameters)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Steady state\n", "\n", "Next, we need to compute the nonstochastic steady state of the model. The `.compute_ss()` method can be used to compute the steady state numerically. The method's default is to use scipy's `fsolve()` function, but other scipy root-finding functions can be used: `root`, `broyden1`, and `broyden2`. The optional argument `options` lets the user pass keywords directly to the optimization function. Check out the documentation for Scipy's nonlinear solvers here: http://docs.scipy.org/doc/scipy/reference/optimize.html" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "a 1.000000\n", "k 34.398226\n", "c 2.589794\n", "y 3.449750\n", "i 0.859956\n", "dtype: float64\n" ] } ], "source": [ "# Compute the steady state numerically\n", "guess = [1,1,1,1,1]\n", "rbc.compute_ss(guess)\n", "print(rbc.ss)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the steady state is returned as a Pandas Series. Alternatively, you could compute the steady state directly and then sent the `rbc.ss` attribute:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "a 1.000000\n", "k 34.398226\n", "c 2.589794\n", "y 3.449750\n", "i 0.859956\n", "dtype: float64\n" ] } ], "source": [ "# Steady state solution\n", "p = parameters\n", "K = (p.alpha*p.A/(1/p.beta+p.delta-1))**(1/(1-p.alpha))\n", "C = p.A*K**p.alpha - p.delta*K\n", "Y = p.A*K**p.alpha\n", "I = Y - C\n", "\n", "rbc.set_ss([p.A,K,C,Y,I])\n", "print(rbc.ss)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Log-linearization and solution\n", "\n", "Now we use the `.log_linear()` method to find the log-linear appxoximation to the model's equilibrium conditions. That is, we'll transform the nonlinear model into a linear model in which all variables are expressed as log-deviations from the steady state. Specifically, we'll compute the matrices $A$ and $B$ that satisfy:\n", "\n", "\\begin{align}\n", "A E_t\\left[ x_{t+1} \\right] & = B x_t + \\left[ \\begin{array}{c} \\epsilon_{t+1} \\\\ 0 \\end{array} \\right],\n", "\\end{align}\n", "\n", "where the vector $x_{t}$ denotes the log deviation of the endogenous variables from their steady state values." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The matrix A:\n", "\n", " [[ 0.00000e+00 -8.30000e-03 -3.59900e-01 8.30000e-03 0.00000e+00]\n", " [ 0.00000e+00 0.00000e+00 0.00000e+00 0.00000e+00 0.00000e+00]\n", " [ 0.00000e+00 3.43982e+01 0.00000e+00 0.00000e+00 0.00000e+00]\n", " [ 0.00000e+00 0.00000e+00 0.00000e+00 0.00000e+00 0.00000e+00]\n", " [-1.00000e+00 0.00000e+00 0.00000e+00 0.00000e+00 0.00000e+00]] \n", "\n", "\n", "The matrix B:\n", "\n", " [[-0. -0. -0.3599 -0. -0. ]\n", " [-3.4497 -1.2074 -0. 3.4497 -0. ]\n", " [-0. 33.5383 -0. -0. 0.86 ]\n", " [-0. -0. -2.5898 3.4497 -0.86 ]\n", " [-0.9 -0. -0. -0. -0. ]]\n" ] } ], "source": [ "# Find the log-linear approximation around the non-stochastic steady state\n", "rbc.log_linear_approximation()\n", "\n", "print('The matrix A:\\n\\n',np.around(rbc.a,4),'\\n\\n')\n", "print('The matrix B:\\n\\n',np.around(rbc.b,4))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we need to obtain the *solution* to the log-linearized model. The solution is a pair of matrices $F$ and $P$ that specify:\n", "\n", "1. The current values of the non-state variables $u_{t}$ as a linear function of the previous values of the state variables $s_t$.\n", "1. The future values of the state variables $s_{t+1}$ as a linear function of the previous values of the state variables $s_t$ and the future realisation of the exogenous shock process $\\epsilon_{t+1}$.\n", "\n", "\\begin{align}\n", "u_t & = Fs_t\\\\\n", "s_{t+1} & = Ps_t + \\epsilon_{t+1}.\n", "\\end{align}\n", "\n", "We use the `.klein()` method to find the solution." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The matrix F:\n", "\n", " [[ 0.2297 0.513 ]\n", " [ 1. 0.35 ]\n", " [ 3.3197 -0.1408]] \n", "\n", "\n", "The matrix P:\n", "\n", " [[0.9 0. ]\n", " [0.083 0.9715]]\n" ] } ], "source": [ "# Solve the model\n", "rbc.solve_klein(rbc.a,rbc.b)\n", "\n", "# Display the output\n", "print('The matrix F:\\n\\n',np.around(rbc.f,4),'\\n\\n')\n", "print('The matrix P:\\n\\n',np.around(rbc.p,4))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Impulse responses\n", "\n", "One the model is solved, use the `.impulse()` method to compute impulse responses to exogenous shocks to the state. The method creates the `.irs` attribute which is a dictionary with keys equal to the names of the exogenous shocks and the values are Pandas DataFrames with the computed impulse respones. You can supply your own values for the shocks, but the default is 0.01 for each exogenous shock." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Impulse responses to a 0.01 unit shock to A:\n", "\n", " e_a a k c y i\n", "0 0.0 0.000 0.000000 0.000000 0.000000 0.000000\n", "1 1.0 1.000 0.000000 0.229718 1.000000 3.319739\n", "2 0.0 0.900 0.082993 0.249318 0.929048 2.976083\n", "3 0.0 0.810 0.155321 0.265744 0.864362 2.667127\n", "4 0.0 0.729 0.218116 0.279348 0.805341 2.389390\n" ] } ], "source": [ "# Compute impulse responses and plot\n", "rbc.impulse(T=41,t0=1,shocks=None,percent=True)\n", "\n", "print('Impulse responses to a 0.01 unit shock to A:\\n\\n',rbc.irs['e_a'].head())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plotting is easy." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "rbc.irs['e_a'][['a','k','c','y','i']].plot(lw='5',alpha=0.5,grid=True).legend(loc='upper right',ncol=2)\n", "rbc.irs['e_a'][['e_a','a']].plot(lw='5',alpha=0.5,grid=True).legend(loc='upper right',ncol=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Stochastic simulation\n", "\n", "Creating a stochastic simulation of the model is straightforward with the `.stoch_sim()` method. In the following example, I create a 151 period (including t=0) simulation by first simulating the model for 251 periods and then dropping the first 100 values. The standard deviation of the shock to $A_t$ is set to 0.00763. The seed for the numpy random number generator is set to 0." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "rbc.stoch_sim(T=121,drop_first=100,cov_mat=np.array([0.00763**2]),seed=0,percent=True)\n", "rbc.simulated[['k','c','y','i']].plot(lw='5',alpha=0.5,grid=True).legend(loc='upper right',ncol=4)\n", "rbc.simulated[['a']].plot(lw='5',alpha=0.5,grid=True).legend(ncol=4)\n", "rbc.simulated['e_a'].plot(lw='5',alpha=0.5,grid=True).legend(ncol=4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 3: A New-Keynesian Model\n", "\n", "Consider the new-Keynesian business cycle model from Walsh (2017), chapter 8 expressed in log-linear terms:\n", "\n", "\\begin{align}\n", "y_t & = E_ty_{t+1} - \\sigma^{-1} (i_t - E_t\\pi_{t+1}) + g_t\\\\\n", "\\pi_t & = \\beta E_t\\pi_{t+1} + \\kappa y_t + u_t\\\\\n", "i_t & = \\phi_x y_t + \\phi_{\\pi} \\pi_t + v_t\\\\\n", "r_t & = i_t - E_t\\pi_{t+1}\\\\\n", "g_{t+1} & = \\rho_g g_{t} + \\epsilon_{t+1}^g\\\\\n", "u_{t+1} & = \\rho_u u_{t} + \\epsilon_{t+1}^u\\\\\n", "v_{t+1} & = \\rho_v v_{t} + \\epsilon_{t+1}^v\n", "\\end{align}\n", "\n", "where $y_t$ is the output gap (log-deviation of output from the natural rate), $\\pi_t$ is the quarterly rate of inflation between $t-1$ and $t$, $i_t$ is the nominal interest rate on funds moving between period $t$ and $t+1$, $r_t$ is the real interest rate, $g_t$ is the exogenous component of demand, $u_t$ is an exogenous component of inflation, and $v_t$ is the exogenous component of monetary policy.\n", "\n", "Since the model is already log-linear, there is no need to approximate the equilibrium conditions. We'll still use the `.log_linear` method to find the matrices $A$ and $B$, but we'll have to set the `islinear` option to `True` to avoid generating an error." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Inintialize model and solve" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "# Input model parameters\n", "beta = 0.99\n", "sigma= 1\n", "eta = 1\n", "omega= 0.8\n", "kappa= (sigma+eta)*(1-omega)*(1-beta*omega)/omega\n", "\n", "rhor = 0.9\n", "phipi= 1.5\n", "phiy = 0\n", "\n", "rhog = 0.5\n", "rhou = 0.5\n", "rhov = 0.9\n", "\n", "Sigma = 0.001*np.eye(3)\n", "\n", "# Store parameters\n", "parameters = pd.Series({\n", " 'beta':beta,\n", " 'sigma':sigma,\n", " 'eta':eta,\n", " 'omega':omega,\n", " 'kappa':kappa,\n", " 'rhor':rhor,\n", " 'phipi':phipi,\n", " 'phiy':phiy,\n", " 'rhog':rhog,\n", " 'rhou':rhou,\n", " 'rhov':rhov\n", "})\n", "\n", "\n", "# Define function that computes 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", " # Exogenous demand\n", " g_proc = p.rhog*cur.g - fwd.g\n", " \n", " # Exogenous inflation\n", " u_proc = p.rhou*cur.u - fwd.u\n", " \n", " # Exogenous monetary policy\n", " v_proc = p.rhov*cur.v - fwd.v\n", " \n", " # Euler equation\n", " euler_eqn = fwd.y -1/p.sigma*(cur.i-fwd.pi) + fwd.g - cur.y\n", " \n", " # NK Phillips curve evolution\n", " phillips_curve = p.beta*fwd.pi + p.kappa*cur.y + fwd.u - cur.pi\n", " \n", " # interest rate rule\n", " interest_rule = p.phiy*cur.y+p.phipi*cur.pi + fwd.v - cur.i\n", " \n", " # Fisher equation\n", " fisher_eqn = cur.i - fwd.pi - cur.r\n", " \n", " \n", " # Stack equilibrium conditions into a numpy array\n", " return np.array([\n", " g_proc,\n", " u_proc,\n", " v_proc,\n", " euler_eqn,\n", " phillips_curve,\n", " interest_rule,\n", " fisher_eqn\n", " ])\n", "\n", "# Initialize the nk model\n", "nk = ls.model(equations=equations,\n", " n_states=3,\n", " n_exo_states = 3,\n", " var_names=['g','u','v','i','r','y','pi'],\n", " parameters=parameters)\n", "\n", "# Set the steady state of the nk model\n", "nk.set_ss([0,0,0,0,0,0,0])\n", "\n", "# Find the log-linear approximation around the non-stochastic steady state\n", "nk.linear_approximation()\n", "\n", "# Solve the nk model\n", "nk.solve_klein(nk.a,nk.b)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Compute impulse responses and plot\n", "\n", "Compute impulse responses of the endogenous variables to a one percent shock to each exogenous variable." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Compute impulse responses\n", "nk.impulse(T=11,t0=1,shocks=None)\n", "\n", "# Create the figure and axes\n", "fig = plt.figure(figsize=(12,12))\n", "ax1 = fig.add_subplot(3,1,1)\n", "ax2 = fig.add_subplot(3,1,2)\n", "ax3 = fig.add_subplot(3,1,3)\n", "\n", "# Plot commands\n", "nk.irs['e_g'][['g','y','i','pi','r']].plot(lw='5',alpha=0.5,grid=True,title='Demand shock',ax=ax1).legend(loc='upper right',ncol=5)\n", "nk.irs['e_u'][['u','y','i','pi','r']].plot(lw='5',alpha=0.5,grid=True,title='Inflation shock',ax=ax2).legend(loc='upper right',ncol=5)\n", "nk.irs['e_v'][['v','y','i','pi','r']].plot(lw='5',alpha=0.5,grid=True,title='Interest rate shock',ax=ax3).legend(loc='upper right',ncol=5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Construct a stochastic simulation and plot\n", "\n", "Contruct a 151 period stochastic simulation by first siumlating the model for 251 periods and then dropping the first 100 values. The seed for the numpy random number generator is set to 0." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Compute stochastic simulation\n", "nk.stoch_sim(T=151,drop_first=100,cov_mat=Sigma,seed=0)\n", "\n", "# Create the 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", "# Plot commands\n", "nk.simulated[['y','i','pi','r']].plot(lw='5',alpha=0.5,grid=True,title='Output, inflation, and interest rates',ax=ax1).legend(ncol=4)\n", "nk.simulated[['g','u','v']].plot(lw='5',alpha=0.5,grid=True,title='Exogenous demand, inflation, and policy',ax=ax2).legend(ncol=4,loc='lower right')" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Plot simulated exogenous shocks\n", "nk.simulated[['e_g','g']].plot(lw='5',alpha=0.5,grid=True).legend(ncol=2)\n", "nk.simulated[['e_u','u']].plot(lw='5',alpha=0.5,grid=True).legend(ncol=2)\n", "nk.simulated[['e_v','v']].plot(lw='5',alpha=0.5,grid=True).legend(ncol=2)" ] } ], "metadata": { "anaconda-cloud": {}, "celltoolbar": "Raw Cell Format", "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 }