{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "# 2018-02-13 Lecture Support Scratch" ] }, { "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 }, "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 }, "outputs": [], "source": [ "%matplotlib inline \n", "\n", "# put graphs into the notebook itself..." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": 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": "markdown", "metadata": {}, "source": [ "## Key Equations\n", "\n", "          \n", "$ \\left(\\frac{Y}{L}\\right) = \\left(\\frac{K}{Y}\\right)^{\\frac{α}{1-α}} \\left(E\\right) $\n", "\n", " \n", "\n", "          \n", "$ \\left(\\frac{Y}{L}\\right)^* = \\left(\\frac{s}{n+g+δ}\\right)^{\\frac{α}{1-α}} \\left(E\\right) $\n", "\n", " \n", "\n", "          \n", "$ \\frac{d(K/Y)}{dt} = - (1-α)(n + g + δ)\\left(\\frac{K}{Y} - \\frac{s}{n + g + δ}\\right) $\n", "\n", " \n", "\n", "          \n", "$ \\frac{K_t}{Y_t} = \\frac{s}{\\delta + n + g} + \\left(\\frac{K_0}{Y_0} - \\frac{s}{\\delta + n + g}\\right) e^{-(1 - \\alpha)(\\delta + g + n)t} $\n", "\n", "----\n", "\n", " \n", "\n", "## Foundations\n", "\n", "          \n", "$ \\left(\\frac{Y}{L}\\right) = \\left(\\frac{K}{L}\\right)^{α}\\left(E\\right)^{1-α} $\n", "\n", "          \n", "$\\frac{1}{L}\\frac{dL}{dt} = n $\n", "\n", "          \n", "$\\frac{1}{E}\\frac{dE}{dt} = g $\n", "\n", "          \n", "$\\frac{1}{K}\\frac{dK}{dt} = s\\left(\\frac{Y}{K}\\right) - \\delta $\n", "\n", "----\n", "\n", " \n", "\n", "## Increase in Savings Rate s\n", "\n", "          \n", "$\\left({\\frac{K}{Y}^*}\\right)_{old} = \\frac{s}{n+g+\\delta} $\n", "\n", "          \n", "$ \\left({\\frac{K}{Y}^*}\\right)_{new} = \\frac{s+{\\Delta}s}{n+g+\\delta} $\n", "\n", "          \n", "$ \\left({\\frac{K}{Y}^*}\\right)_{new} = \\left(\\frac{s}{n+g+\\delta}\\right) + \\left(\\frac{{\\Delta}s}{(n+g+\\delta)}\\right) $\n", "\n", "          \n", "$ \\left(\\frac{K}{Y}^*\\right)_{new} - \\left(\\frac{K}{Y}^*\\right)_{old} = \\left(\\frac{{\\Delta}s}{n+g+\\delta}\\right) $\n", "\n", "----\n", "\n", "### Convergence\n", "\n", "          \n", "$ \\frac{K_t}{Y_t} = \\left({\\frac{K}{Y}^*}\\right)_{new} + \\left(\\left({\\frac{K}{Y}^*}\\right)_{old} - \\left({\\frac{K}{Y}^*}\\right)_{new}\\right) e^{-(1-\\alpha)(n+g+\\delta)t} $\n", "\n", "----\n", "\n", " \n", "\n", "## Increase in Labor Force Growth\n", "\n", "          \n", "$ {\\frac{K}{Y}^*}_{old} = \\frac{s}{n+g+\\delta} $\n", "\n", "          \n", "$ {\\frac{K}{Y}^*}_{new} = \\frac{s}{n+{\\Delta}n+g+\\delta} $\n", "\n", "          \n", "$ {\\frac{K}{Y}^*}_{new} = \\left(\\frac{s}{n+g+\\delta}\\right)\\left(\\frac{n+g+\\delta}{(n+g+\\delta) + {\\Delta}n}\\right) $\n", "\n", "          \n", "$ {\\frac{K}{Y}^*}_{new} = \\left(\\frac{s}{n+g+\\delta}\\right) \\left(\\frac{1}{1 + \\frac{{\\Delta}n}{n+g+\\delta}}\\right) $\n", "\n", "$ $\n", "\n", "Because $ \\frac{1}{1+x} $ is approximately $ 1-x $ for small x...\n", "\n", "          \n", "$ {\\frac{K}{Y}^*}_{new} - {\\frac{K}{Y}^*}_{old} = - \\left({\\frac{K}{Y}^*}_{old}\\right)\\left(\\frac{{\\Delta}n}{n+g+\\delta}\\right) $\n", "\n", "----\n", "\n", "### Convergence\n", "\n", "          \n", "$ \\frac{K_t}{Y_t} = \\left({\\frac{K}{Y}^*}\\right)_{new} + \\left(\\left({\\frac{K}{Y}^*}\\right)_{old} - \\left({\\frac{K}{Y}^*}\\right)_{new}\\right) e^{-(1-\\alpha)(n+{\\Delta}n+g+\\delta)t} $\n", "\n", "\n", "\n", "----\n", "\n", " \n", "\n", "## Increase in Labor Efficiency Growth\n", "\n", "          \n", "$ {\\frac{K}{Y}^*}_{old} = \\frac{s}{n+g+\\delta} $\n", "\n", "          \n", "$ {\\frac{K}{Y}^*}_{new} = \\frac{s}{n+g+{\\Delta}g+\\delta} $\n", "\n", "          \n", "$ {\\frac{K}{Y}^*}_{new} = \\left(\\frac{s}{n+g+\\delta}\\right)\\left(\\frac{n+g+\\delta}{(n+g+\\delta) + {\\Delta}g}\\right) $\n", "\n", "Because $ \\frac{1}{1+x} $ is approximately $ 1-x $ for small x...\n", "\n", "          \n", "$ {\\frac{K}{Y}^*}_{new} = {\\frac{K}{Y}^*}_{old} - \\left({\\frac{K}{Y}^*}_{old}\\right)\\left(\\frac{{\\Delta}g}{n+g+\\delta}\\right) $\n", "\n", "----\n", "\n", "### Convergence\n", "\n", "          \n", "$ \\frac{K_t}{Y_t} = \\left({\\frac{K}{Y}^*}\\right)_{new} + \\left(\\left({\\frac{K}{Y}^*}\\right)_{old} - \\left({\\frac{K}{Y}^*}\\right)_{new}\\right) e^{-(1-\\alpha)(n+g+{\\Delta}g+\\delta)t} $\n", "\n", "\n", "\n", "----\n", "\n", " " ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# FUNCTION FOR CALCULATING AND GRAPHING THE LEVELS OF \n", "# SOLOW GROWTH MODEL VARIABLES IN SIMULATIONS\n", "#\n", "# might as well put \"check that common libraries are active\" as a default header\n", "# in every long python code cell...\n", "\n", "import matplotlib as mpl\n", "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "import scipy as sp\n", "import numpy as np\n", "%matplotlib inline\n", "\n", "# we are going to want to see what happens for lots of\n", "# different model parameter values and ini conditions,\n", "# so stuff our small simulation program inside a function, so \n", "# we can then invoke it with a single line...\n", "#\n", "# we are going to assume the economy starts on its ini\n", "# balanced growth path...\n", "#\n", "# we are going to want to keep track not just of what the\n", "# economy's variables are at each point in time, but also \n", "# what the ini and alternative balanced-growth path \n", "# values of variables are. Given the parameters, the new BGP \n", "# is attracting the economy to it at the speed (1-α)(n+g+δ), \n", "# closing that fraction of the gap between its current state \n", "# and the balanced growth path attractor every period...\n", "\n", "def sgm_bgp_100yr_run(L0, E0, n=0.01, g=0.01, s=0.20, \n", " alpha=0.5, delta=0.03, Delta_s=0, Delta_g=0, Delta_n=0, \n", " T = 100):\n", "\n", " sg_df = pd.DataFrame(index=range(T),columns=[\n", " 'Labor', \n", " 'Efficiency',\n", " 'Capital',\n", " 'Output',\n", " 'Output_per_Worker',\n", " 'Capital_Output_Ratio',\n", " 'BGP_ini_Labor',\n", " 'BGP_ini_Eff',\n", " 'BGP_ini_Capital',\n", " 'BGP_ini_Output',\n", " 'BGP_ini_Output_per_Worker',\n", " 'BGP_ini_Capital_Output_Ratio',\n", " 'BGP_alt_Labor',\n", " 'BGP_alt_Eff',\n", " 'BGP_alt_Capital',\n", " 'BGP_alt_Output',\n", " 'BGP_alt_Output_per_Worker',\n", " 'BGP_alt_Capital_Output_Ratio'],\n", " dtype='float')\n", "\n", " sg_df.Labor[0] = L0\n", " sg_df.BGP_ini_Labor[0] = L0\n", " sg_df.BGP_alt_Labor[0] = L0\n", " sg_df.Efficiency[0] = E0\n", " sg_df.BGP_ini_Eff[0] = E0\n", " sg_df.BGP_alt_Eff[0] = E0\n", " KoverY_ini_steady_state = s/(n+g+delta)\n", " YoverL_ini_steady_state = ((s/(n+g+delta))**(alpha/(1-alpha)) \n", " * E0)\n", " KoverL_ini_steady_state = (YoverL_ini_steady_state *\n", " KoverY_ini_steady_state)\n", " sg_df.Capital[0] = KoverL_ini_steady_state * L0\n", " sg_df.Output[0] = (sg_df.Capital[0]**alpha * (sg_df.Labor[0] * \n", " sg_df.Efficiency[0])**(1-alpha))\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", " sg_df.BGP_ini_Capital_Output_Ratio[0] = (s / (n + g + delta))\n", " sg_df.BGP_ini_Output_per_Worker[0] = sg_df.Efficiency[0] * (\n", " sg_df.BGP_ini_Capital_Output_Ratio[0]*(alpha/(1 - alpha)))\n", " sg_df.BGP_ini_Output[0] = sg_df.BGP_ini_Output_per_Worker[0] * sg_df.Labor[0]\n", " sg_df.BGP_ini_Capital[0] = sg_df.Labor[0] * sg_df.Efficiency[0] * (\n", " sg_df.BGP_ini_Capital_Output_Ratio[0]*(1/(1 - alpha)))\n", " \n", " sg_df.BGP_alt_Capital_Output_Ratio[0] = ((s + Delta_s) / \n", " (n + Delta_n + g + Delta_g + delta))\n", " sg_df.BGP_alt_Output_per_Worker[0] = sg_df.Efficiency[0] * (\n", " sg_df.BGP_alt_Capital_Output_Ratio[0]*(alpha/(1 - alpha)))\n", " sg_df.BGP_alt_Output[0] = sg_df.BGP_alt_Output_per_Worker[0] * sg_df.Labor[0]\n", " sg_df.BGP_alt_Capital[0] = sg_df.Labor[0] * sg_df.Efficiency[0] * (\n", " sg_df.BGP_alt_Capital_Output_Ratio[0]*(1/(1 - alpha)))\n", " \n", "\n", " for i in range(T):\n", " sg_df.Labor[i+1] = (sg_df.Labor[i] * np.exp(n + Delta_n))\n", " sg_df.Efficiency[i+1] = (sg_df.Efficiency[i] * np.exp(g + Delta_g))\n", " KoverY_current = sg_df.Capital[i]/sg_df.Output[i]\n", " sg_df.Capital[i+1] = (sg_df.Capital[i] * np.exp((s+Delta_s)/ \n", " KoverY_current - delta))\n", " sg_df.Output[i+1] = (sg_df.Capital[i+1]**alpha * \n", " (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]/\n", " sg_df.Output[i+1])\n", " \n", " sg_df.BGP_ini_Labor[i+1] = (sg_df.BGP_ini_Labor[i] * np.exp(n))\n", " sg_df.BGP_ini_Eff[i+1] = (sg_df.BGP_ini_Eff[i] * np.exp(g))\n", " sg_df.BGP_ini_Capital_Output_Ratio[i+1] = (s / (n + g + delta))\n", " sg_df.BGP_ini_Output_per_Worker[i+1] = sg_df.BGP_ini_Eff[i+1] * (\n", " sg_df.BGP_ini_Capital_Output_Ratio[i+1]**(alpha/(1 - alpha)))\n", " sg_df.BGP_ini_Output[i+1] = (sg_df.BGP_ini_Output_per_Worker[i+1] * \n", " sg_df.BGP_ini_Labor[i+1])\n", " sg_df.BGP_ini_Capital[i+1] = (s / (n + g + delta))**(1/(1-alpha)) * (\n", " sg_df.BGP_ini_Eff[i+1] * sg_df.BGP_ini_Labor[i+1])\n", " \n", " sg_df.BGP_alt_Labor[i+1] = (sg_df.BGP_alt_Labor[i] * np.exp(n+ Delta_n))\n", " sg_df.BGP_alt_Eff[i+1] = (sg_df.BGP_alt_Eff[i] * np.exp(g+ Delta_g))\n", " sg_df.BGP_alt_Capital_Output_Ratio[i+1] = ((s+ Delta_s) / \n", " (n + Delta_n + g + Delta_g + delta))\n", " sg_df.BGP_alt_Output_per_Worker[i+1] = sg_df.BGP_alt_Eff[i+1] * (\n", " sg_df.BGP_alt_Capital_Output_Ratio[i+1]**(alpha/(1 - alpha)))\n", " sg_df.BGP_alt_Output[i+1] = (sg_df.BGP_alt_Output_per_Worker[i+1] * \n", " sg_df.BGP_alt_Labor[i+1])\n", " sg_df.BGP_alt_Capital[i+1] = ((s + Delta_s) / (n + Delta_n + \n", " g + Delta_g + delta))**(1/(1-alpha)) * (\n", " sg_df.BGP_alt_Eff[i+1] * sg_df.BGP_alt_Labor[i+1])\n", " \n", " fig = plt.figure(figsize=(12, 12))\n", "\n", " ax1 = plt.subplot(3,2,1)\n", " sg_df.BGP_ini_Labor.plot(ax = ax1, title = \"BGP (ini) Labor Force\")\n", " sg_df.BGP_alt_Labor.plot(ax = ax1, title = \"BGP (alt) Labor Force\")\n", " sg_df.Labor.plot(ax = ax1, title = \"Labor Force\")\n", " plt.ylabel(\"Parameters\")\n", " plt.ylim(0, )\n", "\n", " ax2 = plt.subplot(3,2,2)\n", " sg_df.BGP_ini_Eff.plot(ax = ax2, title = \"BGP (ini) Efficiency of Labor\")\n", " sg_df.BGP_alt_Eff.plot(ax = ax2, title = \"BGP (alt) Efficiency of Labor\")\n", " sg_df.Efficiency.plot(ax = ax2, title = \"Efficiency of Labor\")\n", " plt.ylim(0, )\n", " \n", " ax3 = plt.subplot(3,2,3)\n", " sg_df.BGP_ini_Capital.plot(ax = ax3, title = \"BGP (ini) Capital Stock\")\n", " sg_df.BGP_alt_Capital.plot(ax = ax3, title = \"BGP (alt) Capital Stock\")\n", " sg_df.Capital.plot(ax = ax3, title = \"Capital Stock\")\n", " plt.ylabel(\"Values\")\n", " plt.ylim(0, )\n", "\n", " ax4 = plt.subplot(3,2,4)\n", " sg_df.BGP_ini_Output.plot(ax = ax4, title = \"BGP (ini) Output\")\n", " sg_df.BGP_alt_Output.plot(ax = ax4, title = \"BGP (alt) Output\")\n", " sg_df.Output.plot(ax = ax4, title = \"Output\")\n", " plt.ylim(0, )\n", "\n", " ax5 = plt.subplot(3,2,5)\n", " sg_df.BGP_ini_Output_per_Worker.plot(ax = ax5, title = \"BGP (ini) Output per Worker\")\n", " sg_df.BGP_alt_Output_per_Worker.plot(ax = ax5, title = \"BGP (alt) Output per Worker\")\n", " sg_df.Output_per_Worker.plot(ax = ax5, title = \"Output per Worker\")\n", " plt.xlabel(\"Years\")\n", " plt.ylabel(\"Ratios\")\n", " plt.ylim(0, )\n", "\n", " ax6 = plt.subplot(3,2,6)\n", " sg_df.BGP_ini_Capital_Output_Ratio.plot(ax = ax6, \n", " title = \"BGP (ini) Capital-Output Ratio\")\n", " sg_df.BGP_alt_Capital_Output_Ratio.plot(ax = ax6, \n", " title = \"BGP (alt) Capital-Output Ratio\")\n", " sg_df.Capital_Output_Ratio.plot(ax = ax6, \n", " title = \"Capital-Output Ratio\")\n", " plt.xlabel(\"Years\")\n", " plt.ylim(0, )\n", "\n", " plt.suptitle('Solow Growth Model: Simulation Run', size = 20)\n", "\n", " plt.show()\n", " \n", " print(n + Delta_n, \"is the labor force growth rate\")\n", " print(g + Delta_g, \"is the efficiency of labor growth rate\")\n", " print(delta, \"is the depreciation rate\")\n", " print(s + Delta_s, \"is the savings rate\")\n", " print(alpha, \"is the decreasing-returns-to-scale parameter\")" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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AmjZtWh5Vioh8w9JVC3jzs399o0tLTo7TtiCPHtWO55zO36FzuzPSHaaIiJSD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\nHFVlQ/UG3lr3Fm8VvUV5YzlhQWGckXMGM/JncHr26USERHypEPa3tDN/c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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.005 is the labor force growth rate\n", "0.01 is the efficiency of labor growth rate\n", "0.03 is the depreciation rate\n", "0.28 is the savings rate\n", "0.3333333333333333 is the decreasing-returns-to-scale parameter\n" ] } ], "source": [ "sgm_bgp_100yr_run(1000, 1, n=0.005, g=0.01, \n", " s=0.225, alpha=1/3, delta=0.03, Delta_s=0.055)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# FUNCTION FOR CALCULATING AND GRAPHING THE LEVELS OF \n", "# SOLOW GROWTH MODEL VARIABLES IN SIMULATIONS\n", "#\n", "# might as well put \"check that common libraries are active\" as a default header\n", "# in every long python code cell...\n", "\n", "import matplotlib as mpl\n", "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "import scipy as sp\n", "import numpy as np\n", "%matplotlib inline\n", "\n", "# we are going to want to see what happens for lots of\n", "# different model parameter values and ini conditions,\n", "# so stuff our small simulation program inside a function, so \n", "# we can then invoke it with a single line...\n", "#\n", "# we are going to assume the economy starts on its ini\n", "# balanced growth path...\n", "#\n", "# we are going to want to keep track not just of what the\n", "# economy's variables are at each point in time, but also \n", "# what the ini and alternative balanced-growth path \n", "# values of variables are. Given the parameters, the new BGP \n", "# is attracting the economy to it at the speed (1-α)(n+g+δ), \n", "# closing that fraction of the gap between its current state \n", "# and the balanced growth path attractor every period...\n", "\n", "def log_sgm_bgp_100yr_run(L0, E0, n=0.01, g=0.01, s=0.20, \n", " alpha=0.5, delta=0.03, Delta_s=0, Delta_g=0, Delta_n=0, \n", " T = 100):\n", "\n", " sg_df = pd.DataFrame(index=range(T),columns=[\n", " 'Labor', \n", " 'Efficiency',\n", " 'Capital',\n", " 'Output',\n", " 'Output_per_Worker',\n", " 'Capital_Output_Ratio',\n", " 'BGP_ini_Labor',\n", " 'BGP_ini_Eff',\n", " 'BGP_ini_Capital',\n", " 'BGP_ini_Output',\n", " 'BGP_ini_Output_per_Worker',\n", " 'BGP_ini_Capital_Output_Ratio',\n", " 'BGP_alt_Labor',\n", " 'BGP_alt_Eff',\n", " 'BGP_alt_Capital',\n", " 'BGP_alt_Output',\n", " 'BGP_alt_Output_per_Worker',\n", " 'BGP_alt_Capital_Output_Ratio'],\n", " dtype='float')\n", "\n", " sg_df.Labor[0] = L0\n", " sg_df.BGP_ini_Labor[0] = L0\n", " sg_df.BGP_alt_Labor[0] = L0\n", " sg_df.Efficiency[0] = E0\n", " sg_df.BGP_ini_Eff[0] = E0\n", " sg_df.BGP_alt_Eff[0] = E0\n", " KoverY_ini_steady_state = s/(n+g+delta)\n", " YoverL_ini_steady_state = ((s/(n+g+delta))**(alpha/(1-alpha)) \n", " * E0)\n", " KoverL_ini_steady_state = (YoverL_ini_steady_state *\n", " KoverY_ini_steady_state)\n", " sg_df.Capital[0] = KoverL_ini_steady_state * L0\n", " sg_df.Output[0] = (sg_df.Capital[0]**alpha * (sg_df.Labor[0] * \n", " sg_df.Efficiency[0])**(1-alpha))\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", " sg_df.BGP_ini_Capital_Output_Ratio[0] = (s / (n + g + delta))\n", " sg_df.BGP_ini_Output_per_Worker[0] = sg_df.Efficiency[0] * (\n", " sg_df.BGP_ini_Capital_Output_Ratio[0]*(alpha/(1 - alpha)))\n", " sg_df.BGP_ini_Output[0] = sg_df.BGP_ini_Output_per_Worker[0] * sg_df.Labor[0]\n", " sg_df.BGP_ini_Capital[0] = sg_df.Labor[0] * sg_df.Efficiency[0] * (\n", " sg_df.BGP_ini_Capital_Output_Ratio[0]*(1/(1 - alpha)))\n", " \n", " sg_df.BGP_alt_Capital_Output_Ratio[0] = ((s + Delta_s) / \n", " (n + Delta_n + g + Delta_g + delta))\n", " sg_df.BGP_alt_Output_per_Worker[0] = sg_df.Efficiency[0] * (\n", " sg_df.BGP_alt_Capital_Output_Ratio[0]*(alpha/(1 - alpha)))\n", " sg_df.BGP_alt_Output[0] = sg_df.BGP_alt_Output_per_Worker[0] * sg_df.Labor[0]\n", " sg_df.BGP_alt_Capital[0] = sg_df.Labor[0] * sg_df.Efficiency[0] * (\n", " sg_df.BGP_alt_Capital_Output_Ratio[0]*(1/(1 - alpha)))\n", " \n", "\n", " for i in range(T):\n", " sg_df.Labor[i+1] = (sg_df.Labor[i] * np.exp(n + Delta_n))\n", " sg_df.Efficiency[i+1] = (sg_df.Efficiency[i] * np.exp(g + Delta_g))\n", " KoverY_current = sg_df.Capital[i]/sg_df.Output[i]\n", " sg_df.Capital[i+1] = (sg_df.Capital[i] * np.exp((s+Delta_s)/ \n", " KoverY_current - delta))\n", " sg_df.Output[i+1] = (sg_df.Capital[i+1]**alpha * \n", " (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]/\n", " sg_df.Output[i+1])\n", " \n", " sg_df.BGP_ini_Labor[i+1] = (sg_df.BGP_ini_Labor[i] * np.exp(n))\n", " sg_df.BGP_ini_Eff[i+1] = (sg_df.BGP_ini_Eff[i] * np.exp(g))\n", " sg_df.BGP_ini_Capital_Output_Ratio[i+1] = (s / (n + g + delta))\n", " sg_df.BGP_ini_Output_per_Worker[i+1] = sg_df.BGP_ini_Eff[i+1] * (\n", " sg_df.BGP_ini_Capital_Output_Ratio[i+1]**(alpha/(1 - alpha)))\n", " sg_df.BGP_ini_Output[i+1] = (sg_df.BGP_ini_Output_per_Worker[i+1] * \n", " sg_df.BGP_ini_Labor[i+1])\n", " sg_df.BGP_ini_Capital[i+1] = (s / (n + g + delta))**(1/(1-alpha)) * (\n", " sg_df.BGP_ini_Eff[i+1] * sg_df.BGP_ini_Labor[i+1])\n", " \n", " sg_df.BGP_alt_Labor[i+1] = (sg_df.BGP_alt_Labor[i] * np.exp(n+ Delta_n))\n", " sg_df.BGP_alt_Eff[i+1] = (sg_df.BGP_alt_Eff[i] * np.exp(g+ Delta_g))\n", " sg_df.BGP_alt_Capital_Output_Ratio[i+1] = ((s+ Delta_s) / \n", " (n + Delta_n + g + Delta_g + delta))\n", " sg_df.BGP_alt_Output_per_Worker[i+1] = sg_df.BGP_alt_Eff[i+1] * (\n", " sg_df.BGP_alt_Capital_Output_Ratio[i+1]**(alpha/(1 - alpha)))\n", " sg_df.BGP_alt_Output[i+1] = (sg_df.BGP_alt_Output_per_Worker[i+1] * \n", " sg_df.BGP_alt_Labor[i+1])\n", " sg_df.BGP_alt_Capital[i+1] = ((s + Delta_s) / (n + Delta_n + \n", " g + Delta_g + delta))**(1/(1-alpha)) * (\n", " sg_df.BGP_alt_Eff[i+1] * sg_df.BGP_alt_Labor[i+1])\n", " \n", " fig = plt.figure(figsize=(12, 12))\n", "\n", " ax1 = plt.subplot(3,2,1)\n", " np.log(sg_df.BGP_ini_Labor).plot(ax = ax1, title = \"BGP (ini) Labor Force\")\n", " np.log(sg_df.BGP_alt_Labor).plot(ax = ax1, title = \"BGP (alt) Labor Force\")\n", " np.log(sg_df.Labor).plot(ax = ax1, title = \"Labor Force\")\n", " plt.ylabel(\"Parameters\")\n", " plt.ylim(0, )\n", "\n", " ax2 = plt.subplot(3,2,2)\n", " np.log(sg_df.BGP_ini_Eff).plot(ax = ax2, title = \"BGP (ini) Efficiency of Labor\")\n", " np.log(sg_df.BGP_alt_Eff).plot(ax = ax2, title = \"BGP (alt) Efficiency of Labor\")\n", " np.log(sg_df.Efficiency).plot(ax = ax2, title = \"Efficiency of Labor\")\n", " plt.ylim(0, )\n", " \n", " ax3 = plt.subplot(3,2,3)\n", " np.log(sg_df.BGP_ini_Capital).plot(ax = ax3, title = \"BGP (ini) Capital Stock\")\n", " np.log(sg_df.BGP_alt_Capital).plot(ax = ax3, title = \"BGP (alt) Capital Stock\")\n", " np.log(sg_df.Capital).plot(ax = ax3, title = \"Capital Stock\")\n", " plt.ylabel(\"Values\")\n", " plt.ylim(0, )\n", "\n", " ax4 = plt.subplot(3,2,4)\n", " np.log(sg_df.BGP_ini_Output).plot(ax = ax4, title = \"BGP (ini) Output\")\n", " np.log(sg_df.BGP_alt_Output).plot(ax = ax4, title = \"BGP (alt) Output\")\n", " np.log(sg_df.Output).plot(ax = ax4, title = \"Output\")\n", " plt.ylim(0, )\n", "\n", " ax5 = plt.subplot(3,2,5)\n", " np.log(sg_df.BGP_ini_Output_per_Worker).plot(ax = ax5, title = \"BGP (ini) Output per Worker\")\n", " np.log(sg_df.BGP_alt_Output_per_Worker).plot(ax = ax5, title = \"BGP (alt) Output per Worker\")\n", " np.log(sg_df.Output_per_Worker).plot(ax = ax5, title = \"Output per Worker\")\n", " plt.xlabel(\"Years\")\n", " plt.ylabel(\"Ratios\")\n", " plt.ylim(0, )\n", "\n", " ax6 = plt.subplot(3,2,6)\n", " np.log(sg_df.BGP_ini_Capital_Output_Ratio).plot(ax = ax6, \n", " title = \"BGP (ini) Capital-Output Ratio\")\n", " np.log(sg_df.BGP_alt_Capital_Output_Ratio).plot(ax = ax6, \n", " title = \"BGP (alt) Capital-Output Ratio\")\n", " np.log(sg_df.Capital_Output_Ratio).plot(ax = ax6, \n", " title = \"Capital-Output Ratio\")\n", " plt.xlabel(\"Years\")\n", " plt.ylim(0, )\n", "\n", " plt.suptitle('Solow Growth Model: Simulation Run', size = 20)\n", "\n", " plt.show()\n", " \n", " print(n + Delta_n, \"is the labor force growth rate\")\n", " print(g + Delta_g, \"is the efficiency of labor growth rate\")\n", " print(delta, \"is the depreciation rate\")\n", " print(s + Delta_s, \"is the savings rate\")\n", " print(alpha, \"is the decreasing-returns-to-scale parameter\")" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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uX/rQGDU0Ri1DozGVPqiehmhMvb+1A1LyWzeIAQ1DGFg/lEGNQxg0YDhDB45g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\nOWDW3fdv1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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.005 is the labor force growth rate\n", "0.01 is the efficiency of labor growth rate\n", "0.03 is the depreciation rate\n", "0.28 is the savings rate\n", "0.6666666666666666 is the decreasing-returns-to-scale parameter\n" ] } ], "source": [ "log_sgm_bgp_100yr_run(1000, 1, n=0.005, g=0.01, \n", " s=0.225, alpha=2/3, delta=0.03, Delta_s=0.055)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# suppose we started the economy on some balanced growth path, say\n", "# for s = 0.20. And then s jumped to 0.25. What would happen?\n", "#\n", "# n=0.01, g=0.01, delta=0.03, s=0.20, alpha=0.5...\n", "# SS K/Y = 4...\n", "# Y/L = 4 x E\n", "# K/L = 16 x E\n", "#\n", "# start the economy on its balanced growth path..." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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3d4SFhWHjxo3YsWMH0tLSMHnyZOzZs0dpVFhfXx8bNmzAhAkTIJPJ8NdffyE4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\nfXtmzJhBfn4+hmHgc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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.01 is the labor force growth rate\n", "0.01 is the efficiency of labor growth rate\n", "0.03 is the depreciation rate\n", "0.2 is the savings rate\n", "0.5 is the decreasing-returns-to-scale parameter\n" ] } ], "source": [ "log_sgm_bgp_100yr_run(1000, 1, 16000, n=0.01, g=0.01, s=0.20, \n", " alpha=0.5, delta=0.03)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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rr5vWFxcXx4IFC7C1tWX+/Pm8++67FtsTJSIPrqFDh2Jt/efoWjc3N7755hvm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UFLeka3wktvdHWoQgjh8Y5l5/LNri2k5eyhQP/zDeZ+btDv9Y3i4SbtiQ0Jk+VxhbhD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\n0CHi4+OJiYkBKs8d2rZtG4MGDTIlq4iIvzOtrN933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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.01 is the labor force growth rate\n", "0.01 is the efficiency of labor growth rate\n", "0.03 is the depreciation rate\n", "0.2 is the savings rate\n", "0.5 is the decreasing-returns-to-scale parameter\n" ] } ], "source": [ "# yup...\n", "# we can look at it in levels too:\n", "\n", "sgm_bgp_100yr_run(1000, 1, 16000, n=0.01, g=0.01, \n", " s=0.20, alpha=0.5, delta=0.03)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Now, from the s = 0.20 BGP, what happens if we suddenly jump s to 0.25\n", "# and keep it there?\n", "#\n", "# This happens:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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rr5vWFxcXx4IFC7C1tWX+/Pm8++67FtsTJSIPrqFDh2Jt/efoWjc3N7755hvm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Yt//etfrF69mvnz57Nw4UIxuVQQrkLdvXq2Hihm64EierRGPF1suH9OGBMjPC7a+2KS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iIh5BM1v6Mt1ZF7kM/v7+/OEPf+Cxxx6jvb2doKAgnnjiCUJDQ/nhD3/ID37wAwICAkhNTaW5\nuZm2travvT45OZmkpCQWLFhA//79SUpKYvr06SZ1IyLi3jSzpS/TbjAiIiIiIi5Ky2BERERERFyU\nwrqIiIiIiItSWBcRERERcVEK6yIiIiIiLkphXURERETERSmsi4iIiIi4KIV1EREREREXpbAuIiIi\nIuKi/g/pVCQYGOSSEwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.01 is the labor force growth rate\n", "0.01 is the efficiency of labor growth rate\n", "0.03 is the depreciation rate\n", "0.25 is the savings rate\n", "0.5 is the decreasing-returns-to-scale parameter\n" ] } ], "source": [ "# in levels:\n", "\n", "sgm_bgp_100yr_run(1000, 1, 16000, n=0.01, g=0.01, \n", " s=0.25, alpha=0.5, delta=0.03)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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3d4SFhWHjxo3YsWMH0tLSMHnyZOzZs0dpVFhfXx8bNmzAhAkTIJPJ8NdffyE4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\nIsmxw0iOGc7AiH5d8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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.01 is the labor force growth rate\n", "0.01 is the efficiency of labor growth rate\n", "0.03 is the depreciation rate\n", "0.25 is the savings rate\n", "0.5 is the decreasing-returns-to-scale parameter\n" ] } ], "source": [ "log_sgm_bgp_100yr_run(1000, 1, 16000, n=0.01, g=0.01, s=0.25, \n", " alpha=0.5, delta=0.03)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "4.0 = KoverYstarinitial\n", "130000.83276164823 = YoverLstarinitial\n" ] } ], "source": [ "# in the U.S. today:\n", "\n", "n = 0.01\n", "g = 0.015\n", "delta = 0.03\n", "\n", "sinitial = 0.22\n", "alpha = 0.333\n", " \n", "KoverYstarinitial = sinitial/(n + g + delta)\n", "\n", "E = 65068\n", "\n", "YoverLstarinitial = KoverYstarinitial**(alpha/(1-alpha)) * E\n", "\n", "print(KoverYstarinitial, \"= KoverYstarinitial\")\n", "print(YoverLstarinitial, \"= YoverLstarinitial\")" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "4.254545454545455 = KoverYstarfinal\n", "134067.23042795854 = YoverLstarfinal\n", "0.154337418308 = long-run growth effect\n" ] } ], "source": [ "# a \"what if\"—if the tax \"reform\" were to boost the savings rate by\n", "# 1.4% points...\n", "\n", "import numpy as np\n", "\n", "n = 0.01\n", "g = 0.015\n", "delta = 0.03\n", "\n", "sfinal = 0.234\n", "alpha = 0.333\n", " \n", "KoverYstarfinal = sfinal/(n + g + delta)\n", "\n", "E = 65068\n", "\n", "YoverLstarfinal = KoverYstarfinal**(alpha/(1-alpha)) * E\n", "long_run_growth_effect = np.log(YoverLstarfinal/YoverLstarinitial)\n", "\n", "print(KoverYstarfinal, \"= KoverYstarfinal\")\n", "print(YoverLstarfinal, \"= YoverLstarfinal\")\n", "print(np.log(YoverLstarfinal/YoverLstarinitial), \"= long-run growth effect\")" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.036685 = the speed of convergence\n", "0.00566186819062 = initial year growth boost\n" ] } ], "source": [ "# speed of convergence\n", "\n", "speed_of_convergence = ((1 - alpha)*\n", " (n+g+delta))\n", "\n", "print(speed_of_convergence, \n", " \"= the speed of convergence\")\n", "\n", "initial_year_growth_boost = (long_run_growth_effect \n", " * speed_of_convergence)\n", "\n", "print(initial_year_growth_boost, \n", " \"= initial year growth boost\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "----\n", "\n", " \n", "\n", "**Quoting the four Stanford economists (plus five others):**\n", "\n", "\"A\n", "\n", "" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.03 = convergence speed\n", "0.0 = growth over 0 years\n", "0.000886633993545 = growth over 1 years\n", "0.00174706399247 = growth over 2 years\n", "0.00258206444186 = growth over 3 years\n", "0.00339238689849 = growth over 4 years\n", "0.00417876070725 = growth over 5 years\n", "0.00494189365766 = growth over 6 years\n", "0.00568247262089 = growth over 7 years\n", "0.006401164168 = growth over 8 years\n", "0.00709861516989 = growth over 9 years\n", "0.00777545337955 = growth over 10 years\n" ] } ], "source": [ "# what is (1 - alpha)(n + g + delta) here?\n", "#\n", "# (1 - alpha) = 2/3\n", "# (n + g + delta) = .045\n", "\n", "convergence_speed = 2/3 * .045\n", "\n", "print(convergence_speed, \"= convergence speed\")\n", "\n", "for i in range(11):\n", " print(.03 - .03 * np.exp(-convergence_speed * i), \"= growth over\", i, \"years\")" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "4.254545454545455 = KoverYstarfinal\n", "129128.17026777047 = YoverLstarfinal\n", "0.0754032510065 = long-run growth effect\n", "0.024749999999999998 = speed of convergence\n", "0.00186623046241 = first year growth effect\n" ] } ], "source": [ "##### what if we raise alpha to the \"DeLong Summers\" value?\n", "#\n", "# note: Brad DeLong and Larry Summers do **not** believe\n", "# that the tax \"reform\" will raise the savings rate by \n", "# 1.34%: this is a \"what if\" exercise that, as far as I\n", "# know, is not the analytical position of anybody:\n", "\n", "n = 0.01\n", "g = 0.015\n", "delta = 0.03\n", "\n", "sinitial = 0.22\n", "sfinal = 0.234\n", "alpha = 0.55\n", "\n", "KoverYstarinitial = sinitial/(n + g + delta)\n", "KoverYstarfinal = sfinal/(n + g + delta)\n", "\n", "E = 22000\n", "\n", "YoverLstarfinal = KoverYstarfinal**(alpha/(1-alpha)) * E\n", "YoverLstarinitial = KoverYstarinitial**(alpha/(1-alpha)) * E\n", "\n", "print(KoverYstarfinal, \"= KoverYstarfinal\")\n", "print(YoverLstarfinal, \"= YoverLstarfinal\")\n", "print(np.log(YoverLstarfinal/YoverLstarinitial), \n", " \"= long-run growth effect\")\n", "print((1 - alpha)*(n+g+delta), \"= speed of convergence\")\n", "print((1 - alpha)*(n+g+delta)*\n", " np.log(YoverLstarfinal/YoverLstarinitial),\n", " \"= first year growth effect\")" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "4.254545454545455 = KoverYstarfinal\n", "130005.45087954417 = YoverLstarfinal\n", "0.123572403984 = long-run growth effect\n" ] } ], "source": [ "# raising the alpha parameter even further...\n", "\n", "n = 0.01\n", "g = 0.015\n", "delta = 0.03\n", "\n", "sinitial = 0.22\n", "sfinal = 0.234\n", "alpha = 0.667\n", "\n", "KoverYstarinitial = sinitial/(n + g + delta)\n", "KoverYstarfinal = sfinal/(n + g + delta)\n", "\n", "E = 7151\n", "\n", "YoverLstarfinal = KoverYstarfinal**(alpha/(1-alpha)) * E\n", "YoverLstarinitial = KoverYstarinitial**(alpha/(1-alpha)) * E\n", "\n", "print(KoverYstarfinal, \"= KoverYstarfinal\")\n", "print(YoverLstarfinal, \"= YoverLstarfinal\")\n", "print(np.log(YoverLstarfinal/YoverLstarinitial), \"= long-run growth effect\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$ \\frac{\\alpha}{1-\\alpha} = \\lambda $\n", "\n", "$ \\alpha = (1-\\alpha)\\lambda $\n", "\n", "$ \\alpha = \\lambda - \\alpha\\lambda $\n", "\n", "$ \\alpha + \\alpha\\lambda = \\lambda $\n", "\n", "$ \\alpha(1 + \\lambda) = \\lambda $\n", "\n", "$ \\alpha = \\frac{\\lambda}{1 + \\lambda} $\n", "\n", "$ 1 - \\alpha = \\frac{1}{1 + \\lambda} $" ] } ], "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": "3.6.1" } }, "nbformat": 4, "nbformat_minor": 2 }