{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "# Calculations and Exercises for:Long-Run Economic Growth Theory: Presenting the Model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setting up the Python/Jupyter environment" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "application/javascript": [ "\n", "IPython.OutputArea.prototype._should_scroll = function(lines) {\n", " return false;}" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%javascript \n", "\n", "IPython.OutputArea.prototype._should_scroll = function(lines) {\n", " return false;}" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true, "jupyter": { "outputs_hidden": true } }, "outputs": [], "source": [ "# keep output cells from shifting to autoscroll: little scrolling\n", "# subwindows within the notebook are an annoyance..." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/delong/anaconda3/lib/python3.6/site-packages/statsmodels/compat/pandas.py:56: FutureWarning: The pandas.core.datetools module is deprecated and will be removed in a future version. Please use the pandas.tseries module instead.\n", " from pandas.core import datetools\n" ] } ], "source": [ "# set up the environment by reading in every library we might need: \n", "# os... graphics... data manipulation... time... math... statistics...\n", "\n", "import sys\n", "import os\n", "from urllib.request import urlretrieve\n", "\n", "import matplotlib as mpl\n", "import matplotlib.pyplot as plt\n", "from IPython.display import Image\n", "\n", "import pandas as pd\n", "from pandas import DataFrame, Series\n", "from datetime import datetime\n", "\n", "import scipy as sp\n", "import numpy as np\n", "import math\n", "import random\n", "\n", "import seaborn as sns\n", "import statsmodels\n", "import statsmodels.api as sm\n", "import statsmodels.formula.api as smf\n", "\n", "# report library versions..." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true, "jupyter": { "outputs_hidden": true } }, "outputs": [], "source": [ "%matplotlib inline \n", "\n", "# put graphs into the notebook itself..." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true, "jupyter": { "outputs_hidden": true } }, "outputs": [], "source": [ "# graphics setup: seaborn-whitegrid and figure size...\n", "\n", "plt.style.use('seaborn-whitegrid')\n", "\n", "figure_size = plt.rcParams[\"figure.figsize\"]\n", "figure_size[0] = 12\n", "figure_size[1] = 10\n", "plt.rcParams[\"figure.figsize\"] = figure_size" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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z1ydMeXm5QFlFRQXKysrYNjC3pw8ePPjFXlbAfEk8ePAAiYmJEBMTExhvePDg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\nd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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# what the Cobb-Douglas production function looks like\n", "\n", "alpha = 0.5\n", "E = 1\n", "\n", "output_per_worker = np.zeros((501, 2))\n", "\n", "for i in range(501):\n", " lowestkoverl = 0\n", " output_per_worker[i, 0] = lowestkoverl + 2 * i\n", " output_per_worker[i, 1] = (output_per_worker[i, 0] ** alpha) * E\n", "output_per_worker_df = DataFrame(data = output_per_worker, \n", " columns = [\"Capital_per_Worker\", \"Output_per_Worker\"])\n", "\n", "output_per_worker_df.set_index('Capital_per_Worker').plot()\n", "plt.xlabel(\"Capital per Worker\")\n", "plt.ylabel(\"Output per Worker\")\n", "plt.ylim(0, )\n", "\n", "str1 = \"Production Function:\"\n", "str2 = \"Output per Worker as a Function of Capital per Worker\"\n", "str3 = \"for a Constant Value of the Efficiency of Labor\"\n", "plt.title(str1 + \"\\n\" + str2 + \"\\n\" + str3, size = 20)\n", "\n", "\n", "\n", "\n", "# Possible Exercises: \n", "# -------------------\n", "#\n", "# 1. Change the value of the parameter α in the production function:\n", "# what does it look like if α = 0, 1/3, 2/3, 1, respectively? (Change\n", "# the value of α by altering the right-hand side of the \"alpha = 0.5\"\n", "# line of code)\n", "# 2. Change the value of the efficiency of labor E in the production\n", "# function. How would the production function be changing over \n", "# time if the efficiency of labor were growing over time? (Change\n", "# the value of the efficiency of labor E by altering the right-hand \n", "# side of the \"alpha = 0.5\" line of code)\n", "# 3. Look out over a larger or different domain: let K/L vary not over\n", "# [0, 1000] but over some other set of values. (Change the lowest\n", "# value of K/L examined by changing the \"lowestkoverl = 0\" line of\n", "# code; change the spread of the values of K/L examined by changing\n", "# the \"output_per_worker[i, 0] = lowestkoverl + 2 * i\" line of code.) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "----\n", "\n", " " ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0, 140.43546404504863)" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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ykqRbCFGpXb9+nc8//5ygoCCaNm1Ky5YtGTBgAGvXrn3kfrE7d+5k8ODBtGrV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\nUpdfQPeLLsC7R/dG2xiGwdLFO6iptnHxFYl07xnQaLvSo7vIz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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# calculations for Figure 4.6\n", "\n", "E = 40\n", "\n", "for a in range(5):\n", " output_per_worker = np.zeros((501, 2))\n", " alpha = 0.15 * (a + 1)\n", " for i in range(501):\n", " output_per_worker[i, 0] = 2 * i\n", " output_per_worker[i, 1] = ((output_per_worker[i, 0] ** alpha) * E / \n", " ((200) ** alpha) )\n", " output_per_worker_df = DataFrame(data = output_per_worker, \n", " columns = [\"Capital_per_Worker\", \"Output_per_Worker\"])\n", "\n", " plt.plot(output_per_worker_df.Capital_per_Worker, output_per_worker_df.Output_per_Worker)\n", " plt.legend([\"α=0.15\", \"α=0.30\", \"α=0.45\", \"α=0.60\", \"α=0.75\"])\n", " \n", "plt.xlabel(\"Capital per Worker\")\n", "plt.ylabel(\"Output per Worker\")\n", "plt.title(\"Production Function for Varying α\\nHolding f(200) = 40\", size = 24)\n", "plt.xlim(0, 1000)\n", "plt.ylim(0, )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "----\n", "\n", " " ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "(0, 74.246212024587493)" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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ePZg1axZOTk4AODk58fTTT9OzZ0/y8/MBGDRo0FlfW1MoLy8HakfF6+Li4nLS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\nZes/8fXw4Zdn30dMwLFXtkVEREREesuQCNff7rcOpZHaWj/SxkdS8eHHA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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# calculations for Figure 4.7\n", "\n", "alpha = 0.5\n", "\n", "for E in range(6):\n", " output_per_worker = np.zeros((501, 2))\n", " for i in range(501):\n", " output_per_worker[i, 0] = 2 * i\n", " output_per_worker[i, 1] = (output_per_worker[i, 0] ** alpha) * E**(1 - alpha)\n", " output_per_worker_df = DataFrame(data = output_per_worker, \n", " columns = [\"Capital_per_Worker\", \"Output_per_Worker\"])\n", "\n", " plt.plot(output_per_worker_df.Capital_per_Worker, output_per_worker_df.Output_per_Worker)\n", " plt.legend([\"E=0\", \"E=1\", \"E=2\", \"E=3\", \"E=4\", \"E=5\"])\n", " \n", "plt.xlabel(\"Capital per Worker\")\n", "plt.ylabel(\"Output per Worker\")\n", "plt.title(\"Production Function for Varying E\\nHolding α = 0.5\", size = 24)\n", "plt.xlim(0, 1000)\n", "plt.ylim(0, )" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0, 287.58802216095813)" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Qo0cPoOLZ67i4OBITE+nQoQN+fn5Vrrl58+b89a9/rTCU4YknniAwMBCAw4cPV+l+9u/f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\nljUG9aZtHyVJKsrbZOLw3pk6ql+mnNY33bt2SFV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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# calculations for Figure 4.9\n", "\n", "# initialize the dataframe...\n", "\n", "df = pd.DataFrame(index=range(50),columns=['Labor'], dtype='float')\n", "\n", "# initial conditions: labor force\n", "\n", "L0 = 140\n", "n = 0.014\n", "\n", "# initialize the dataframe at time 0 by setting L, E, K...\n", "\n", "df.Labor[0] = L0\n", "\n", "# And now we loop the system forward, watching what it does\n", "# for 50 years...\n", "\n", "for i in range(50):\n", " df.Labor[i+1] = df.Labor[i] +df.Labor[i] * n\n", " \n", "# And plot the results:\n", " \n", "df.Labor.plot()\n", "\n", "plt.xlabel(\"Year\")\n", "plt.ylabel(\"Millions\")\n", "plt.title(\"Labor Force Growth at Constant Rate n\", size = 24)\n", "plt.xlim(0, 50)\n", "plt.ylim(0, )\n", "\n", "\n", "\n", "# Possible Exercises: \n", "# -------------------\n", "#\n", "# 1. What does the graph look like with a different rate of growth n?\n", "# 2. What does the graph look like with a different value for the\n", "# initial labor force L(0)?\n", "# 3. What does the graph look like over a longer period of time?" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0, 2.5119945355453348)" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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w/Phxcd8V9eDBA/H5SqVS4cqVK8WWT58+XZBKpcKlS5dK1Fb0vSoI///+k0qlwtixY4Wo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\n8CEKDvLsFe1wVPhzVAAAAIIa3UP1WafnSnRhlcpqGyVJIcG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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# calculations for Figure 4.10\n", "\n", "# initialize the dataframe...\n", "\n", "df = pd.DataFrame(index=range(50),columns=['Efficiency'], dtype='float')\n", "\n", "# initial conditions: efficiency\n", "\n", "E0 = 1.000\n", "g = 0.018\n", "\n", "# initialize the dataframe at time 0...\n", "\n", "df.Efficiency[0] = E0\n", "\n", "# And now we loop the system forward, watching what it does\n", "# for 50 years...\n", "\n", "for i in range(50):\n", " df.Efficiency[i+1] = df.Efficiency[i] +df.Efficiency[i] * g\n", " \n", "# And plot the results:\n", " \n", "df.Efficiency.plot()\n", "\n", "plt.xlabel(\"Year\")\n", "plt.ylabel(\"Index\")\n", "plt.title(\"Efficiency-of-Labor Growth at Constant Rate g\", size = 24)\n", "plt.xlim(0, 50)\n", "plt.ylim(0, )\n", "\n", "\n", "\n", "# Possible Exercises: \n", "# -------------------\n", "#\n", "# 1. What does the graph look like with a different rate of growth g?\n", "# 2. What does the graph look like with a different value for the\n", "# initial efficiency E(0)?\n", "# 3. What does the graph look like over a longer period of time?" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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C9evXsWXLFty+fRteXl745ZdfxB9v0dHRwfr169GtWzfcu3cPISEhuHjxItq1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\nZcuWLF68mFdeeYXOnTszcuRI1Go1kZGRREREoCgKUVFRODg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/snjxYoKDg0lISCAoKIjg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\n+mts2bIFO3fuREpKilRRX9muI7GIjEmCe2NXDO3B4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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.0 is the labor force growth rate\n", "0.0 is the efficiency of labor growth rate\n", "0.03 is the depreciation rate\n", "0.15 is the savings rate\n", "0.5 is the decreasing-returns-to-scale parameter\n" ] } ], "source": [ "# initialize the dataframe...\n", "\n", "T = 200\n", "\n", "sg_df = pd.DataFrame(index=range(T),columns=['Labor', \n", " 'Efficiency',\n", " 'Capital',\n", " 'Output',\n", " 'Output_per_Worker',\n", " 'Capital_Output_Ratio'],\n", " dtype='float')\n", "\n", "# parameter values: labor-force growth rate, efficiency-of-labor growth rate,\n", "# depreciation rate on the capital stock, savings-investment share of output,\n", "# and capital share in production α...\n", "\n", "n = 0.0\n", "g = 0.0\n", "delta = 0.03\n", "s = 0.15\n", "alpha = 0.5\n", "\n", "\n", "# initial conditions: labor force, efficiency-of-labor, and \n", "# capital stock: change these parameters here...\n", "\n", "L0 = 1000\n", "E0 = 1\n", "K0 = 5000\n", "\n", "# initialize the dataframe at time 0 by setting L, E, K...\n", "\n", "sg_df.Labor[0] = L0 \n", "sg_df.Efficiency[0] = E0\n", "sg_df.Capital[0] = K0\n", "\n", "# use the production function to calculate output at time 0...\n", "\n", "sg_df.Output[0] = (sg_df.Capital[0]**alpha *\n", " (sg_df.Labor[0] * sg_df.Efficiency[0])**(1-alpha))\n", "\n", "# calculate the last two initial values for the dataframe:\n", "# output per worker and the capital output ratio...\n", "\n", "sg_df.Output_per_Worker[0] = sg_df.Output[0]/sg_df.Labor[0]\n", "sg_df.Capital_Output_Ratio[0] = sg_df.Capital[0]/sg_df.Output[0]\n", "\n", "# And now we loop the system forward, watching what it does\n", "# for T years...\n", "\n", "for i in range(T):\n", " sg_df.Labor[i+1] = sg_df.Labor[i] + sg_df.Labor[i] * n\n", " sg_df.Efficiency[i+1] = sg_df.Efficiency[i] + sg_df.Efficiency[i] * g\n", " sg_df.Capital[i+1] = sg_df.Capital[i] - sg_df.Capital[i] * delta + sg_df.Output[i] * s \n", " \n", " sg_df.Output[i+1] = (sg_df.Capital[i+1]**alpha * (sg_df.Labor[i+1] * sg_df.Efficiency[i+1])**(1-alpha))\n", " sg_df.Output_per_Worker[i+1] = sg_df.Output[i+1]/sg_df.Labor[i+1]\n", " sg_df.Capital_Output_Ratio[i+1] = sg_df.Capital[i+1]/sg_df.Output[i+1]\n", " \n", "# plot the results...\n", "\n", "fig = plt.figure(figsize=(12, 12))\n", "\n", "ax1 = plt.subplot(3,2,1)\n", "sg_df.Labor.plot(ax = ax1, title = \"Labor Force\")\n", "plt.ylabel(\"Parameters\")\n", "\n", "ax2 = plt.subplot(3,2,2)\n", "sg_df.Efficiency.plot(ax = ax2, title = \"Efficiency of Labor\")\n", "\n", "ax3 = plt.subplot(3,2,3)\n", "sg_df.Capital.plot(ax = ax3, title = \"Capital Stock\")\n", "plt.ylabel(\"Values\")\n", "\n", "ax4 = plt.subplot(3,2,4)\n", "sg_df.Output.plot(ax = ax4, title = \"Output\")\n", "\n", "ax5 = plt.subplot(3,2,5)\n", "sg_df.Output_per_Worker.plot(ax = ax5, title = \"Output per Worker\")\n", "plt.xlabel(\"Years\")\n", "plt.ylabel(\"Ratios\")\n", "\n", "ax6 = plt.subplot(3,2,6)\n", "sg_df.Capital_Output_Ratio.plot(ax = ax6, title = \"Capital-Output Ratio\")\n", "plt.xlabel(\"Years\")\n", "\n", "plt.suptitle('Solow Growth Model: T-Year Simulation Run', size = 20)\n", "\n", "plt.show()\n", "\n", "print(n, \"is the labor force growth rate\")\n", "print(g, \"is the efficiency of labor growth rate\")\n", "print(delta, \"is the depreciation rate\")\n", "print(s, \"is the savings rate\")\n", "print(alpha, \"is the decreasing-returns-to-scale parameter\")" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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t7DhMO8OVK1dy8eLFFCca6aktzy4NGjQgPDycU6dOERoa+tAHqJi+19R6eGNi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\nJdr72qO9b+0sG4IgICu/FGdTL+NsWj7Opl7GubR8HDpxCYdOXNLfzspcD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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.0 is the labor force growth rate\n", "0.0 is the efficiency of labor growth rate\n", "0.03 is the depreciation rate\n", "0.15 is the savings rate\n", "0.5 is the decreasing-returns-to-scale parameter\n" ] } ], "source": [ "# initialize the dataframe...\n", "\n", "T = 200\n", "\n", "sg_df = pd.DataFrame(index=range(T),columns=['Labor', \n", " 'Efficiency',\n", " 'Capital',\n", " 'Output',\n", " 'Output_per_Worker',\n", " 'Capital_Output_Ratio'],\n", " dtype='float')\n", "\n", "# parameter values: labor-force growth rate, efficiency-of-labor growth rate,\n", "# depreciation rate on the capital stock, savings-investment share of output,\n", "# and capital share in production α...\n", "\n", "n = 0.0\n", "g = 0.0\n", "delta = 0.03\n", "s = 0.15\n", "alpha = 0.5\n", "\n", "# initial conditions: labor force, efficiency-of-labor, and \n", "# capital stock: change these parameters here...\n", "\n", "L0 = 1000\n", "E0 = 1\n", "K0 = 40000\n", "\n", "# initialize the dataframe at time 0 by setting L, E, K...\n", "\n", "sg_df.Labor[0] = L0 = 1000\n", "sg_df.Efficiency[0] = E0\n", "sg_df.Capital[0] = K0\n", "\n", "# use the production function to calculate output at time 0...\n", "\n", "sg_df.Output[0] = (sg_df.Capital[0]**alpha *\n", " (sg_df.Labor[0] * sg_df.Efficiency[0])**(1-alpha))\n", "\n", "# calculate the last two initial values for the dataframe:\n", "# output per worker and the capital output ratio...\n", "\n", "sg_df.Output_per_Worker[0] = sg_df.Output[0]/sg_df.Labor[0]\n", "sg_df.Capital_Output_Ratio[0] = sg_df.Capital[0]/sg_df.Output[0]\n", "\n", "# And now we loop the system forward, watching what it does\n", "# for T years...\n", "\n", "for i in range(T):\n", " sg_df.Labor[i+1] = sg_df.Labor[i] + sg_df.Labor[i] * n\n", " sg_df.Efficiency[i+1] = sg_df.Efficiency[i] + sg_df.Efficiency[i] * g\n", " sg_df.Capital[i+1] = sg_df.Capital[i] - sg_df.Capital[i] * delta + sg_df.Output[i] * s \n", " \n", " sg_df.Output[i+1] = (sg_df.Capital[i+1]**alpha * (sg_df.Labor[i+1] * sg_df.Efficiency[i+1])**(1-alpha))\n", " sg_df.Output_per_Worker[i+1] = sg_df.Output[i+1]/sg_df.Labor[i+1]\n", " sg_df.Capital_Output_Ratio[i+1] = sg_df.Capital[i+1]/sg_df.Output[i+1]\n", " \n", "# plot the results...\n", "\n", "fig = plt.figure(figsize=(12, 12))\n", "\n", "ax1 = plt.subplot(3,2,1)\n", "sg_df.Labor.plot(ax = ax1, title = \"Labor Force\")\n", "plt.ylabel(\"Parameters\")\n", "\n", "ax2 = plt.subplot(3,2,2)\n", "sg_df.Efficiency.plot(ax = ax2, title = \"Efficiency of Labor\")\n", "\n", "ax3 = plt.subplot(3,2,3)\n", "sg_df.Capital.plot(ax = ax3, title = \"Capital Stock\")\n", "plt.ylabel(\"Values\")\n", "\n", "ax4 = plt.subplot(3,2,4)\n", "sg_df.Output.plot(ax = ax4, title = \"Output\")\n", "\n", "ax5 = plt.subplot(3,2,5)\n", "sg_df.Output_per_Worker.plot(ax = ax5, title = \"Output per Worker\")\n", "plt.xlabel(\"Years\")\n", "plt.ylabel(\"Ratios\")\n", "\n", "ax6 = plt.subplot(3,2,6)\n", "sg_df.Capital_Output_Ratio.plot(ax = ax6, title = \"Capital-Output Ratio\")\n", "plt.xlabel(\"Years\")\n", "\n", "plt.suptitle('Solow Growth Model: T-Year Simulation Run: High Initial K = 40000', size = 20)\n", "\n", "plt.show()\n", "\n", "print(n, \"is the labor force growth rate\")\n", "print(g, \"is the efficiency of labor growth rate\")\n", "print(delta, \"is the depreciation rate\")\n", "print(s, \"is the savings rate\")\n", "print(alpha, \"is the decreasing-returns-to-scale parameter\")" ] }, { "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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v2rRpVKxYkV69ehXK8UqDB/G8kPun80Lyo/NC8qPzQvJT0PNCI9GlxIgRI7h+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\nE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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "delta = 0.03\n", "s = 0.15\n", "alpha = 0.5\n", "E = 1\n", "\n", "output_per_worker = np.zeros((201, 3))\n", "\n", "for i in range(201):\n", " lowestkoverl = 0\n", " output_per_worker[i, 0] = lowestkoverl + i/4\n", " output_per_worker[i, 1] = (output_per_worker[i, 0] ** alpha) * E**(1-alpha)\n", " output_per_worker[i, 2] = delta/s * output_per_worker[i, 0]\n", "output_per_worker_df = DataFrame(data = output_per_worker, \n", " columns = [\"Capital_per_Worker\", \"Output_per_Worker\", \n", " \"Equilibrium Condition\"])\n", "\n", "output_per_worker_df.set_index('Capital_per_Worker').plot()\n", "plt.xlabel(\"Capital per Worker\")\n", "plt.ylabel(\"Output per Worker\")\n", "plt.ylim(0, )\n", "\n", "plt.title(\"Equilibrium Is Where the Curves Cross\", size = 20)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4.2.9 EXERCISES: Presenting the Solow Growth Model\n", "\n", "**Task 1: The basics of the Solow growth model**:\n", "\n", "In the (markdown) cell below this one, answer the questions asked:\n", "\n", "1. What are the _economic variables_ in the Solow growth model? List their symbols, and describe what they are: ANSWER\n", "\n", "2. What are the _parameters_ in the Solow growth model? List their symbols, and describe what they are:\n", "\n", "3. What are the _behavioral relationships_ in the Solow growth model?\n", "\n", "4. What is the _equilibrium condition_ in the Solow growth model?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "1. What are the _economic variables_ in the Solow growth model? List their symbols, and describe what they are: ANSWER: ___ \n", "\n", "2. What are the _parameters_ in the Solow growth model? List their symbols, and describe what they are: ANSWER: ___ \n", "\n", "3. What are the _behavioral relationships_ in the Solow growth model? ANSWER: ___ \n", "\n", "4. What is the _equilibrium condition_ in the Solow growth model? ANSWER: ___ \n", "\n", "----\n", "\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Catch Our Breath\n", "\n", "\n", "\n", "* Ask me two questions…\n", "* Make two comments…\n", "* Further reading…\n", "\n", "
\n", "\n", "----\n", "\n", "The Core of the Solow Growth Model: \n", "Lecture Support: \n", "\n", " \n", "\n", "----" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Presenting the Solow Growth Model\n", "\n", " \n", "\n", "### How Does This System Behave Over Time?\n", "\n", "* Let’s start it up and see…\n", "* \n", "\n", "\"Lecture\n", "\n", "\"Lecture\n", "\n", "\"Lecture\n", "\n", "\"Lecture\n", "\n", " \n", "\n", "### How Does This System Behave Over Time?: Conclusions\n", "\n", "* Capital/output ratio heads for an asymptote\n", " * Value of that asymptote?\n", "* Without labor efficiency growth and labor force growth, output eventually stops growing\n", "* Without labor efficiency growth, output per worker eventually stops growing\n", "* What are the consequences for the economy of K/Y heading for an asymptote?\n", "* How does the economy behave once K/Y is at its asymptote?\n", "\n", " \n", "\n", "### Characteristics of the Model\n", "\n", "As is the case for all economic models, the SGM consists of:\n", "\n", "* _Variables_: economic quantities of interest that we can calculate and measure: L, K, E, Y.\n", "\n", "* _Behavioral relationships_: relationships that (1) describe how humans, making economic decisions given their opportunities and opportunity costs, decide what to do, and (2) that thus determine the values of the economic variables, represented by equations that have an economic variable on the left hand side and, on the right, a set of factors that determine its value.\n", "\n", "* _Parameters_: determine which out of a broad family of potential behavioral relations describes the behavior of the particular economic scenario at hand; the ability to work algebraically with parameters allows one to perform an enormous number of potential \"what-if?\" calculations very quickly and in a very small space: $ \\alpha, \\delta, n, g, s $\n", "\n", "* _Equilibrium conditions_: conditions that tell us when the economy is in a position of balance.\n", "\n", "* _Accounting identities_: statements automatically and necessarily true because of the way the variables are defined. \n", "\n", " \n", "\n", "Almost every economic model has a single key principal economic variable at its heart.\n", "\n", "* In the case of the Solow growth model, the key variable is labor productivity: how much the average worker in the economy is able to produce.\n", "\n", "* Economists proceed with their analysis by looking for an equilibrium: a point of balance, a condition of rest, a state of the system toward which the model will converge over time.\n", "\n", "* The equilibrium here is one in which the economy’s capital stock per worker, its level of real GDP per worker, and its efficiency of labor are all three growing at exactly the same proportional rate, a rate that remains constant over time.\n", "\n", "----\n", "\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Catch Our Breath\n", "\n", "\n", "\n", "* Ask me two questions…\n", "* Make two comments…\n", "* Further reading…\n", "\n", "
\n", "\n", "----\n", "\n", "The Core of the Solow Growth Model: \n", "Lecture Support: \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": "3.7.7" } }, "nbformat": 4, "nbformat_minor": 4 }