{ "cells": [ { "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": 2, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [], "source": [ "class Solow_delong:\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", " Built upon and modified from Stachurski-Sargeant \n", " class **Solow** \n", " \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 capital\n", " g=0.01, # productivity\n", " κ=0.2/(.01+.01+.03), # 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": 62, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "T = 100\n", "\n", "s_base = Solow_delong(κ=4.0)\n", "s_base.scenario = \"base scenario\"\n", "s_alt = Solow_delong(κ=0.5)\n", "s_alt.scenario = \"alt scenario\"\n", "\n", "figcontents = {\n", " (0,0):('κ','Capital Output'),\n", " (0,1):('E','Efficiency of Labor'),\n", " (1,0):('L','Labor Force'),\n", " (1,1):('K','Capital Stock'),\n", " (2,0):('Y','Output'),\n", " (2,1):('y','Output-per-worker')\n", " }\n", "\n", "num_rows, num_cols = 3,2\n", "fig, axes = plt.subplots(num_rows, num_cols, figsize=(12, 12))\n", "for i in range(num_rows):\n", " for j in range(num_cols):\n", " for s in s_base, s_alt:\n", " lb = f'{s.scenario}: initial κ = {s.initdata[\"κ\"]}'\n", " axes[i,j].plot(s.generate_sequence(T, var = figcontents[i,j][0]),'o-', lw=2, alpha=0.5, label=lb)\n", " axes[i,j].set(title=figcontents[i,j][1])\n", "\n", "# global legend\n", "axes[(0,0)].legend(loc='upper center', bbox_to_anchor=(1.1,1.3))\n", "plt.suptitle('Solow Growth Model: Simulation Run', size = 20)\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", "----" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " \n", "\n", "----\n", "\n", "### Change Log\n", "\n", "**2019-07-25** by DeLong: Playing with Sargent and Stachurowski's QuantEcon: \n", "\n", " \n", "\n", "----\n", "\n", "__2019-08-05__ by Yinshan, list of changes made:\n", "\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", "\n", "----\n", "\n", "**2019-08-07** by delong: list of changes made:\n", "\n", "1. Named `s_base` and `s_alt` cases\n", "2. Added the six-panel summary graph\n", "\n", "----\n", "\n", "**2019-08-08** by delong: list of changes made:\n", "\n", "1. Renamed `SolowKappa` class to `Solow_delong`\n", "2. Added info about Stachurski-Sargeant QuantEcon to the docstring.\n", "\n", "----\n", "\n", "\n", "**2019-08-08** by Yinshan: list of changes made:\n", "\n", "1. Modified six-panel summary code, added loop and `figcontents` dictionary\n", "2. Changed six-panel summary graph legend to global, added subtitles to subplots\n", "3. Added illustration on \n", "```\n", "self.initdata = vars(self).copy()\n", "```\n", "and \n", "```\n", "if init == True:\n", " for para in self.initdata:\n", " setattr(self, para, self.initdata[para])\n", "```\n", "\n", "----\n", "\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " \n", "\n", "## Appendices" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Illustration on selected syntaxes:**\n", "1. `self.initdata = vars(self).copy()` \n", " \n", " `vars(self)` returns a dictionary containing data attributes of the instance `self`. \n", " \n", " More technically speaking, for every module object in Python, the read-only attribute `__dict__` returns the dictionary used to implement the module’s namespace. \n", " \n", " In our case, `vars(self)` gives us all initial data attributes we just defined. `self.initdata = vars(self).copy()` copies the returned dictionary and stores it for future use in the initializing step of `generate_sequence` method. \n", " \n", "2. \n", "```\n", "if init == True:\n", " for para in self.initdata:\n", " setattr(self, para, self.initdata[para])\n", "```\n", "The above steps initialize all parameters stored in `self.initdata`. `setattr` is used to assigns a value to the attribute, provided the object allows it. Usually `setattr(object,name,value)` is equivalent to `object.name = value`. \n", "\n", " However, in our case, we need to get attributes dynamically named in a loop, depending on current `para`. `setattr` gives a handy solution. The usual `=` way of assigning value would return an error.\n" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# change starting points\n", "s_base = Solow_delong(κ=1.0)\n", "s_alt = Solow_delong(κ=10.0)\n", "\n", "# reproduce plots\n", "num_rows, num_cols = 3,2\n", "fig, axes = plt.subplots(num_rows, num_cols, figsize=(12, 12))\n", "for s in s_base, s_alt:\n", " for i in range(num_rows):\n", " for j in range(num_cols):\n", " lb = f'initial κ = {s.initdata[\"κ\"]}'\n", " axes[i,j].plot(s.generate_sequence(T, var = figcontents[i,j][0]),'o-', lw=2, alpha=0.5, label=lb)\n", " axes[i,j].set(title=figcontents[i,j][1])\n", "\n", "# add steady state to capital output \n", "axes[(0,0)].plot([s_base.steady_state()]*T, 'k-', label='steady state')\n", "\n", "# global legend\n", "axes[(0,0)].legend(loc='upper center', bbox_to_anchor=(1.1,1.3),ncol=3)\n", "\n", "plt.suptitle('Solow Growth Model: Simulation Run', size = 20)\n", "plt.show() " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "T = 100\n", "\n", "s_base = Solow_delong(κ=1.0)\n", "s_alt = Solow_delong(κ=10.0)\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([s_base.steady_state()]*T, 'k-', label='steady state')\n", "\n", "# Plot time series for each economy\n", "for s in s_base, s_alt:\n", " lb = f'capital-output series from initial state {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": 6, "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 s_base, s_alt:\n", " lb = f'efficiency-of-labor series from initial state {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": 7, "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 s_base, s_alt:\n", " lb = f'labor-force series from initial state {s.initdata[\"κ\"]}'\n", " ax.plot(s.generate_sequence(T, var = 'L'), 'o-', lw=2, alpha=0.5, label=lb)\n", " \n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 8, "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 s_base, s_alt:\n", " lb = f'capital-stock series from initial state {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": 9, "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 s_base, s_alt:\n", " lb = f'output series from initial state {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": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(9, 6))\n", "\n", "for s in s_base, s_alt:\n", " lb = f'output-per-worker series from initial state {s.initdata[\"κ\"]}'\n", " ax.plot(s.generate_sequence(T, var = 'y'), 'o-', lw=2, alpha=0.5, label=lb)\n", "ax.legend()\n", "\n", "plt.show()" ] } ], "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": "3.6.7" } }, "nbformat": 4, "nbformat_minor": 4 }