{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Solow Growth Model: Increase in s" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Initialization: Setting Up the Environment:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "KEEP OUTPUT CELLS FROM SHIFTING TO AUTOSCROLL" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "application/javascript": [ "\n", "IPython.OutputArea.prototype._should_scroll = function(lines) {\n", " return false;\n", "}" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%javascript\n", "\n", "IPython.OutputArea.prototype._should_scroll = function(lines) {\n", " return false;\n", "}" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# KEEP GRAPHICS IN THE MAIN NOTEBOOK FLOW\n", "\n", "%matplotlib inline " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# GRAPHICS SETUP \n", "#\n", "# seaborn-whitegrid styles and figure size...\n", "\n", "from matplotlib import pyplot as plt\n", "\n", "plt.style.use('seaborn-whitegrid')\n", "\n", "figure_size = plt.rcParams[\"figure.figsize\"]\n", "figure_size[0] = 10\n", "figure_size[1] = 7\n", "plt.rcParams[\"figure.figsize\"] = figure_size" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "# IMPORT LIBRARIES...\n", "\n", "import numpy as np\n", "import pandas as pd" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Function creation ran without visible errors\n" ] } ], "source": [ "# DEFINE OUR SOLOW GROWTH MODEL SIMULATION FUNCTION...\n", "#\n", "# we are going to want to see what happens for lots of\n", "# different model parameter values and initial conditions,\n", "# so stuff everything inside a function, so we can then\n", "# invoke it with a single line...\n", "\n", "def sgm_2_200yr_run(L0, E0, \n", " n=0, g=0, s=0.15, \n", " alpha=0.5, delta=0.025, \n", " delta_n = 0, delta_g = 0, delta_s = 0, \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", " sg_df.Labor[0] = L0\n", " sg_df.Efficiency[0] = E0\n", " sg_df.Capital_Output_Ratio[0] = s/(n+g+delta)\n", " sg_df.Output[0] = sg_df.Capital_Output_Ratio[0]**(alpha/(1-alpha)) * sg_df.Labor[0] * sg_df.Efficiency[0]\n", " sg_df.Output_per_Worker[0] = sg_df.Output[0]/sg_df.Labor[0]\n", " sg_df.Capital = sg_df.Capital_Output_Ratio[0] * sg_df.Output[0]\n", " \n", " s = s + delta_s\n", " g = g + delta_g\n", " n = n + delta_n\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", " 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", " \n", " fig = plt.figure(figsize=(12, 12))\n", "\n", " ax1 = plt.subplot(2,3,1)\n", " sg_df.Labor.plot(ax = ax1, title = \"Labor Force\")\n", " plt.ylabel(\"Values\")\n", "\n", " ax2 = plt.subplot(2,3,2)\n", " sg_df.Efficiency.plot(ax = ax2, title = \"Efficiency of Labor\")\n", "\n", " ax3 = plt.subplot(2,3,3)\n", " sg_df.Capital.plot(ax = ax3, title = \"Capital Stock\")\n", "\n", " ax4 = plt.subplot(2,3,4)\n", " sg_df.Output.plot(ax = ax4, title = \"Output\")\n", " plt.ylabel(\"Values\")\n", " plt.xlabel(\"Years\")\n", "\n", " ax5 = plt.subplot(2,3,5)\n", " sg_df.Output_per_Worker.plot(ax = ax5, title = \"Output per Worker\")\n", " plt.xlabel(\"Years\")\n", "\n", " ax6 = plt.subplot(2,3,6)\n", " sg_df.Capital_Output_Ratio.plot(ax = ax6, title = \"Capital-Output Ratio\")\n", " plt.xlabel(\"Years\")\n", "\n", " plt.suptitle('Solow Growth Model: Simulation Run', size = 20)\n", "\n", " plt.show()\n", "\n", " print(alpha, \"is the orientation-of-growth-toward-capital parameter: alpha\")\n", " print(delta, \"is the depreciation rate: delta\")\n", "\n", " if (delta_n != 0):\n", " print(n, \"is the alternative labor-force growth rate: n'\")\n", " print(n - delta_n, \"is the baseline labor-force growth rate: n\") \n", " else:\n", " print(n, \"is the labor force growth rate: n\")\n", " \n", " if (delta_g != 0):\n", " print(g, \"is the alternative efficiency-of-labor growth rate: g'\")\n", " print(g - delta_g, \"is the baseline efficiency-of-labor growth rate: g\") \n", " else:\n", " print(g, \"is the efficiency of labor growth rate: g\")\n", " \n", " if (delta_s != 0):\n", " print(s, \"is the alternative post-jump savings-investment share: s'\")\n", " print(s - delta_s, \"is the baseline pre-jump savings-investment share: s\")\n", " else:\n", " print(s, \"is the savings-investment share: s\")\n", "\n", "print(\"Function creation ran without visible errors\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "----\n", "\n", " \n", "\n", "## The Solow Growth Model: Increase in s\n", "\n", "Recall the four behavioral relationships in the Solow growth model: the determination of the labor-force L growth rate as equal to the parameter n; the efficiency-of-labor E growth rate as equal to the parameter g; the capital stock K growth rate as a function of the savings-investment share s of output Y, of the depreciation rate δ, and of the current output-to-capital ratio Y/K; and the production function determining the current level of output Y as a function of the current levels of the capital stock K, the labor force L, the efficiency-of-labor E, and the production function parameter—I don't have a good name for it—α (perhaps I should start calling it the relative capital orientation of growth: when α is zero capital accumulation does not matter for growth, and as α rises toward one it becomes more and more important for growth until, when it equals one, it is all that matters):\n", "\n", "$ \\frac{d(ln(L))}{dt} = n $\n", "\n", "$ \\frac{d(ln(E))}{dt} = g $\n", "\n", "$ \\frac{d(ln(K))}{dt} = \\frac{sY}{K} - \\delta $\n", "\n", "$ ln(Y) = \\alpha(ln(K)) + (1-\\alpha)(ln(L) + ln(E)) $\n", "\n", "Let's start an economy modeled by this with some set of parameter values and in an initial position on its balanced-growth path. Let's then do a once-and-for-all permanent boost to the savings-investment share of output s by an amount Δs, so that the savings-investment share is no longer its baseline value s but instead the alternative value s':\n", "\n", "$ s' = s + {\\Delta}s $\n", "\n", "Let's then let the economy develop over time according to its behavioral relationships. And let's see what happens:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.5 is the orientation-of-growth-toward-capital parameter: alpha\n", "0.025 is the depreciation rate: delta\n", "0 is the labor force growth rate: n\n", "0 is the efficiency of labor growth rate: g\n", "0.18 is the alternative post-jump savings-investment share: s'\n", "0.15 is the baseline pre-jump savings-investment share: s\n" ] } ], "source": [ "# start with a model with no labor force or\n", "# efficiency of labor growth...\n", "\n", "sgm_2_200yr_run(L0 = 1000, E0 = 1, g = 0, n = 0,\n", " s = 0.15, delta_s = 0.03)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.5 is the orientation-of-growth-toward-capital parameter: alpha\n", "0.025 is the depreciation rate: delta\n", "0 is the labor force growth rate: n\n", "0 is the efficiency of labor growth rate: g\n", "0.12 is the alternative post-jump savings-investment share: s'\n", "0.15 is the baseline pre-jump savings-investment share: s\n" ] } ], "source": [ "# it works in reverse...\n", "#\n", "# start with a model with no labor force or\n", "# efficiency of labor growth...\n", "\n", "sgm_2_200yr_run(L0 = 1000, E0 = 1, g = 0, n = 0,\n", " s = 0.15, delta_s = -0.03)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.5 is the orientation-of-growth-toward-capital parameter: alpha\n", "0.025 is the depreciation rate: delta\n", "0.015 is the labor force growth rate: n\n", "0 is the efficiency of labor growth rate: g\n", "0.18 is the alternative post-jump savings-investment share: s'\n", "0.15 is the baseline pre-jump savings-investment share: s\n" ] } ], "source": [ "# Add in labor-force growth\n", "\n", "sgm_2_200yr_run(L0 = 1000, E0 = 1, g = 0, n = 0.015,\n", " s = 0.15, delta_s = 0.03, T=200)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.5 is the orientation-of-growth-toward-capital parameter: alpha\n", "0.025 is the depreciation rate: delta\n", "0.015 is the labor force growth rate: n\n", "0.02 is the efficiency of labor growth rate: g\n", "0.18 is the alternative post-jump savings-investment share: s'\n", "0.15 is the baseline pre-jump savings-investment share: s\n" ] } ], "source": [ "# Add in efficiency-of-labor growth\n", "\n", "sgm_2_200yr_run(L0 = 1000, E0 = 0.1, g = 0.02, n = 0.015,\n", " s = 0.15, delta_s = 0.03, T=200)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$ \\left(\\frac{Y_t}{L_t}\\right) = \n", " \\left(\\frac{K_t}{Y_t}\\right)^{\\frac{\\alpha}{1-\\alpha}}E_t $\n", " \n", "$ ln\\left(\\frac{Y_t}{L_t}\\right) = \n", " \\left(\\frac{\\alpha}{1-\\alpha}\\right) ln\\left(\\frac{K_t}{Y_t}\\right) + \n", " ln\\left(E_t\\right) $\n", " \n", "$ ln\\left(\\frac{Y_t}{L_t}\\right)^* = \n", " \\left(\\frac{\\alpha}{1-\\alpha}\\right) ln\\left(\\frac{s}{n+g+\\delta}\\right) + \n", " ln\\left(E_t\\right) $ \n", " \n", "$ {ln\\left(\\frac{Y_t}{L_t}\\right)^*}_{alt} - {ln\\left(\\frac{Y_t}{L_t}\\right)^*}_{base} \n", " = \\left(\\frac{\\alpha}{1-\\alpha}\\right) \n", " \\left({ln\\left(\\frac{s+{\\Delta}s}{n+g+\\delta}\\right)}_{alt} \n", " - {ln\\left(\\frac{s}{n+g+\\delta}\\right)}_{base}\\right) $ \n", " \n", "for our parameter values:\n", "\n", "$ {ln\\left(\\frac{Y_t}{L_t}\\right)^*}_{alt} - {ln\\left(\\frac{Y_t}{L_t}\\right)^*}_{base} $\n", "$ = \\left(\\frac{\\alpha}{1-\\alpha}\\right) $\n", "$ \\left({ln\\left(4\\right)} \n", " - {ln\\left({3.2}\\right)}\\right) $\n", "$ = \\left(\\frac{\\alpha}{1-\\alpha}\\right)ln(1.25) $\n", "\n", "$ ln(1.25) = 0.25 - 0.03125 + 0.00521 - .00098 + 0.00020 - 0.00004 = 0.223 $" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.5 is the orientation-of-growth-toward-capital parameter: alpha\n", "0.025 is the depreciation rate: delta\n", "0.01 is the labor force growth rate: n\n", "0.015 is the efficiency of labor growth rate: g\n", "0.2 is the alternative post-jump savings-investment share: s'\n", "0.16 is the baseline pre-jump savings-investment share: s\n" ] } ], "source": [ "sgm_2_200yr_run(L0 = 1000, E0 = 1, g = 0.015, n = 0.01,\n", " s = 0.16, delta_s = 0.04, T=100)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "----\n", "\n", " \n", "\n", "## Appendix: Programming Advice:\n", "\n", "1. **Do** restart your kernel and run cells up to your current working point every fifteen minutes or so. Yes, it takes a little time. But if you don't, sooner or later the machine's namespace will get confused, and then you will get confused about the state of the machine's namespace, and by assuming things about it that are false you will lose hours and hours...\n", "\n", "2. **Do** reload the page when restarting the kernel does not seem to do the job...\n", "\n", "3. **Do** edit code cells by copying them below your current version and then working on the copy: when you break everything in the current cell (as you will), you can then go back to the old cell and start fresh...\n", "\n", "4. **Do** exercise agile development practices: if there is a line of code that you have not tested, test it. The best way to test is to ask the machine to echo back to you the thing you have just created in its namespace to make sure that it is what you want it to be. Only after you are **certain** that your namespace contains what you think it does should you write the next line of code. And then you should immediately test it...\n", "\n", "5. **Do** take screenshots of your error messages...\n", "\n", "6. **Do** google your error messages: Ms. Google is your best friend here...\n", "\n", "7. **Do not** confuse assignment (\"=\") and test for equality (\"==\"). In general, if there is an \"if\" anywhere nearby, you should be testing for equality. If there is not, you should be assignment a variable in your namespace to a value. **Do** curse the mathematicians 500 years ago who did not realize that in the twenty-first century it would be very convenient if we had different and not confusable symbols for equals-as-assignment and equals-as-test...\n", "\n", "Any more insights you think belong on this list? Email them to me at brad.delong@gmail.com" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" } }, "nbformat": 4, "nbformat_minor": 2 }