{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "**2019-07-25**: Playing with Sargent and Stachurowski's QuantEcon: \n", "\n", " \n", "\n", "----" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__2019-08-05__ by Yinshan, list of changes made:\n", "1. Merged `generate_x_sequence` into one method\n", "2. Added initializing steps to `generate_sequence` method to eliminate the need of redefining instance for every plot\n", "2. Removed unnecessary `import` commands\n", "2. Changed comment to docstring for the class `SolowKappa`\n", "2. Changed $\\alpha$ to $\\alpha'$ in calculation of $\\kappa$\n", "\n", " Effect: slight change in $\\kappa$ value for each time period (converge slower to the steady state), but no change in general convergence behavior\n", "3. Modified unpacking commands for self variables, removed unused ones and added used ones\n", "----" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__2019-08-06__ by Yinshan:\n", "1. Corrected legends of graphs, substituted current $\\kappa$ with initial $\\kappa$ stored in `self.initdata`\n", "\n", "----" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Solow Growth Model\n", "\n", "Factor accumulation:\n", "\n", ">(1) $ \\frac{dL_t}{dt} = nL_t $\n", "\n", ">(2) $ \\frac{dE_t}{dt} = gE_t $\n", "\n", ">(3) $ \\frac{dK_t}{dt} = sY_t - δK_t $\n", "\n", "Production function:\n", "\n", ">(4) $ Y_t = K_t^α(L_tE_t)^{(1-α)} $\n", "\n", "Definition of capital-output ratio:\n", "\n", ">(5) $ κ_t = \\frac{K_t}{Y_t} $" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Solving for the rate of change of the capital-output ratio:\n", "\n", ">(6) $ Y_t = κ_t^{(α/(1-α))}(L_tE_t) $\n", "\n", ">(7) $ \\frac{1}{K_t}\\frac{dK_t}{dt} = \\frac{s}{κ_t} - δ $\n", "\n", ">(8) $ \\frac{1}{Y_t}\\frac{dY_t}{dt} = α \\left( \\frac{1}{K_t}\\frac{dK_t}{dt} \\right) + (1-α)(n+g) $\n", "\n", ">(9) $ \\frac{1}{κ_t}\\frac{dκ_t}{dt} = \\frac{1}{K_t}\\frac{dK_t}{dt} - α \\left( \\frac{1}{K_t}\\frac{dK_t}{dt} \\right) - (1-α)(n+g) $\n", "\n", ">(10) $ \\frac{1}{κ_t}\\frac{dκ_t}{dt} = (1- α) \\left( \\frac{1}{K_t}\\frac{dK_t}{dt} \\right) - (1-α)(n+g) $\n", "\n", ">(11) $ \\frac{1}{κ_t}\\frac{dκ_t}{dt} = (1- α) \\left( \\frac{s}{κ_t} - δ \\right) - (1-α)(n+g) $\n", "\n", ">(12) $ \\frac{dκ_t}{dt} = (1- α) \\left( s - (n+g+δ)κ_t \\right) $\n", "\n", "Integrating:\n", "\n", ">(13) $ κ_t = \\frac{s}{n+g+δ} + e^{-(1-α)(n+g+δ)t} \\left[ κ_0 - \\frac{s}{n+g+δ} \\right] $" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Discretizing for a difference model:\n", "\n", ">(14) $ κ_{t+1} = κ_t + \\left[ \\frac{1 - e^{-(1-α)(n+g+δ)}}{n+g+δ} \\right] \\left( s - (n+g+δ)κ_t \\right) $\n", "\n", ">(15) $ 1 - α' = (1 - α) [ 1 - \\frac{(1-α)(n+g+δ)}{2} + \\frac{(1-α)^2(n+g+δ)^2}{6} - ... ] $\n", "\n", ">(16) $ κ_{t+1} = κ_t + (1- α') \\left( s - (n+g+δ)κ_t \\right) $" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "class SolowKappa:\n", " \n", " \"\"\" \n", " Implements the Solow growth model calculation of the \n", " capital-output ratio κ and other model variables\n", " using the update rule:\n", " \n", " κ_{t+1} = κ_t + (1- α) ( s - (n+g+δ)κ_t )\n", " \"\"\"\n", " \n", " def __init__(self, n=0.01, # population growth rate\n", " s=0.20, # savings rate\n", " δ=0.03, # depreciation rate\n", " α=1/3, # share of labor\n", " g=0.01, # productivity\n", " κ=1.0, # current capital-labor ratio\n", " E=1.0, # current efficiency of labor\n", " L=1.0): # current labor force \n", "\n", " self.n, self.s, self.δ, self.α, self.g = n, s, δ, α, g\n", " self.κ, self.E, self.L = κ, E, L\n", " self.Y = self.κ**(self.α/(1-self.α))*self.E*self.L\n", " self.K = self.κ * self.Y\n", " self.y = self.Y/self.L\n", " self.α1 = 1-((1-np.exp((self.α-1)*(self.n+self.g+self.δ)))/(self.n+self.g+self.δ))\n", " self.initdata = vars(self).copy()\n", " \n", " def calc_next_period_kappa(self):\n", " \"Calculate the next period capital-output ratio.\"\n", " # Unpack parameters (get rid of self to simplify notation)\n", " n, s, δ, α1, g, κ= self.n, self.s, self.δ, self.α1, self.g, self.κ\n", " # Apply the update rule\n", " return (κ + (1 - α1)*( s - (n+g+δ)*κ ))\n", "\n", " def calc_next_period_E(self):\n", " \"Calculate the next period efficiency of labor.\"\n", " # Unpack parameters (get rid of self to simplify notation)\n", " E, g = self.E, self.g\n", " # Apply the update rule\n", " return (E * np.exp(g))\n", "\n", " def calc_next_period_L(self):\n", " \"Calculate the next period labor force.\"\n", " # Unpack parameters (get rid of self to simplify notation)\n", " n, L = self.n, self.L\n", " # Apply the update rule\n", " return (L*np.exp(n))\n", "\n", " def update(self):\n", " \"Update the current state.\"\n", " self.κ = self.calc_next_period_kappa()\n", " self.E = self.calc_next_period_E()\n", " self.L = self.calc_next_period_L()\n", " self.Y = self.κ**(self.α/(1-self.α))*self.E*self.L\n", " self.K = self.κ * self.Y\n", " self.y = self.Y/self.L\n", "\n", " def steady_state(self):\n", " \"Compute the steady state value of the capital-output ratio.\"\n", " # Unpack parameters (get rid of self to simplify notation)\n", " n, s, δ, g = self.n, self.s, self.δ, self.g\n", " # Compute and return steady state\n", " return (s /(n + g + δ))\n", "\n", " def generate_sequence(self, t, var = 'κ', init = True):\n", " \"Generate and return time series of selected variable. Variable is κ by default. Start from t=0 by default.\"\n", " path = []\n", " \n", " # initialize data \n", " if init == True:\n", " for para in self.initdata:\n", " setattr(self, para, self.initdata[para])\n", "\n", " for i in range(t):\n", " path.append(vars(self)[var])\n", " self.update()\n", " return path" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "T = 60\n", "\n", "s1 = SolowKappa()\n", "s2 = SolowKappa(κ=8.0)\n", "\n", "fig, ax = plt.subplots(figsize=(9, 6))\n", "\n", "# Plot the common steady-state value of the capital-output ratio\n", "ax.plot([s1.steady_state()]*T, 'k-', label='steady state')\n", "\n", "# Plot time series for each economy\n", "for s in s1, s2:\n", " lb = f\"capital-output series from initial state κ = {s.initdata['κ']}\"\n", " ax.plot(s.generate_sequence(T), 'o-', lw=2, alpha=0.5, label=lb)\n", " \n", "\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(9, 6))\n", "\n", "# Plot time series for each economy\n", "for s in s1, s2:\n", " lb = f\"efficiency-of-labor series from initial state κ = {s.initdata['κ']}\"\n", " ax.plot(s.generate_sequence(T, var='E'), 'o-', lw=2, alpha=0.5, label=lb)\n", " \n", "\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(9, 6))\n", "\n", "\n", "# Plot time series for each economy\n", "for s in s1, s2:\n", " lb = f\"labor-force series from initial state κ = {s.initdata['κ']}\"\n", " ax.plot(s.generate_sequence(T, var = 'L'), 'o-', lw=2, alpha=0.5, label=lb)\n", " \n", "\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(9, 6))\n", "\n", "# Plot time series for each economy\n", "for s in s1, s2:\n", " lb = f\"capital-stock series from initial state κ = {s.initdata['κ']}\"\n", " ax.plot(s.generate_sequence(T, var = 'K'), 'o-', lw=2, alpha=0.5, label=lb)\n", " \n", "\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(9, 6))\n", "\n", "# Plot time series for each economy\n", "for s in s1, s2:\n", " lb = f\"output series from initial state κ = {s.initdata['κ']}\"\n", " ax.plot(s.generate_sequence(T, var = 'Y'), 'o-', lw=2, alpha=0.5, label=lb)\n", " \n", "\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(9, 6))\n", "\n", "# Plot time series for each economy\n", "for s in s1, s2:\n", " lb = f\"output-per-worker series from initial state κ = {s.initdata['κ']}\"\n", " ax.plot(s.generate_sequence(T, var = 'y'), 'o-', lw=2, alpha=0.5, label=lb)\n", "\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Solow Growth Model: Capital-Output Ratio as State Variable\n", "\n", "\n", "\n", "### Catch Our Breath—Further Notes:\n", "\n", "
\n", "\n", "----\n", "\n", "* Weblog Support \n", "* nbViewer \n", "\n", " \n", "\n", "----" ] } ], "metadata": { "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": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 4 }