2018-02-01 Convergence to Balanced Growth Path.ipynb

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     "slide_type": "notes"
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   "source": [
    "# 2018-02-01 Convergence to Balanced Growth Path"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Setting up the Python/Jupyter environment"
   ]
  },
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   "cell_type": "code",
   "execution_count": 1,
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   "outputs": [
    {
     "data": {
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   "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..."
   ]
  },
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   "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
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   "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"
   ]
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  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 4.1 Sources of Long-Run Economic Growth\n",
    "\n",
    "## 4.1.1 The Eagle's Eye View\n",
    "\n",
    "### 4.1.1.1 The Shape of Global Growth\n",
    "\n",
    "Step back and take a broad, sweeping view of the economy.\n",
    "\n",
    "Look at it, but do not focus on the “short run” of calendar-year quarters or even of a year or two in which shifts in investment spending and other shocks push the unemployment rate up or down—that’s what we will do in Chapters 9 through 12. \n",
    "\n",
    "Look at it, but do not focus on the “long run” period of 3 to 10 years or so, in which prices have time to adjust to return the economy to a full-employment equilibrium but in which the economy’s productive resources do not change much—that’s what we will look at in Chapters 6 through 8. \n",
    "\n",
    "What do we do here in Chapters 4 and 5? We take that step back and focus on the very long run of decades and generations—a period over which everything else dwindles into insignificance except the sustained and significant increases in standards of living that we call long-run economic growth.\n",
    "\n",
    "When we take this broad, sweeping view, it is clear that what we are calling long-run economic growth is _the_ only truly important factor determining the economy's potential for generating prosperity. \n",
    "\n",
    "As Figure 4.1 shows, material standards of living and levels of economic productivity today in the United States are more than three times what they are in, say, Mexico (and more than nine times those of Nigeria, and more than 25 times those of Afghanistan). These differences matter for more than just how comfortable people are: richer societies have much longer life expectancies in addition to higher levels of consumption and greater control over resources by typical citizens. Even a large economic depression would not reduce U.S. levels of prosperity to those of Mexico, let alone Nigeria or Afghanistan.\n",
    " \n",
    "----\n",
    "\n",
    "&nbsp;"
   ]
  },
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Figure 4.1: U.S. Output per Capita in International Perspective**\n",
    "\n",
    "<img style=\"display:block; margin-left:auto; margin-right:auto;\" src=\"http://delong.typepad.com/.a/6a00e551f08003883401b7c94a0e7b970b-pi\" alt=\"4 1 Gapminder U S Mexican Nigerian and Afghan GDP per Capita and Life Expectancy since 1870 https tinyurl com dl20180122b\" title=\"4_1_Gapminder__U_S___Mexican__Nigerian__and_Afghan_GDP_per_Capita_and_Life_Expectancy_since_1870__https___tinyurl_com_dl20180122b.png\" border=\"0\" width=\"600\" />\n",
    "\n",
    "###### Source: _Gapminder_ <http://gapminder.org/tools>\n",
    "\n",
    "----\n",
    "\n",
    "&nbsp;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Moreover, as Figure 4.2 shows, U.S. average living standards and productivity levels have not been near their current high levels for long. Standard estimates show that U.S. GDP per capita has grown more than thirteen-fold since 1870. And life expectancy at birth in the U.S. has doubled over the past century and a half. Even a large economic depression would not reduce U.S. levels of productivity to those of the U.S. a generation, let alone a century ago.\n",
    "\n",
    "----\n",
    "\n",
    "&nbsp;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Figure 4.2: U.S. Output per Capita in Historical Perspective**\n",
    "\n",
    "<img style=\"display:block; margin-left:auto; margin-right:auto;\" src=\"http://delong.typepad.com/.a/6a00e551f08003883401b8d2d45f78970c-pi\" alt=\"4 2 Gapminder U S GDP per Capita and Life Expectancy since 1870 https tinyurl com dl20180122a\" title=\"4_2_Gapminder__U_S__GDP_per_Capita_and_Life_Expectancy_since_1870__https___tinyurl_com_dl20180122a.png\" border=\"0\" width=\"600\" />\n",
    "\n",
    "###### Source: _Gapminder_ <http://gapminder.org/tools>\n",
    "\n",
    "----\n",
    "\n",
    "&nbsp;"
   ]
  },
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   "cell_type": "markdown",
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   "source": [
    "These differences and changes are huge.\n",
    "\n",
    "At most a trivial part of them are due to whether unemployment in a country is currently above or below its average level, or whether various bad macroeconomic policies are currently disrupting the functioning of the price system. \n",
    "\n",
    "The overwhelming bulk of these differences are the result of differences in economies’ productive potentials. The most important differences spring from differences in the level of technology and of organization currently used in production, which are themelves the result of differences in the skills of workers, the availability and competence of engineers and engineering knowledge, and the creation and maintenance of organizations with internal structures that impel them toward profductive efficiency. Secondary differences spring from differences in the presence or absence of key natural resources, and in the value of the capital stock—the structures and buildings, machines and programs, and inventories and work flows that have themselves been produced by humans earlier and are necessary for a productive economy.\n",
    "\n",
    "The enormous gaps between the productive potentials of different nations spring from favorable initial conditions and successful growth-promoting economic policies in the United States—and from less favorable initial conditions and less successful subsequent policies in Mexico and downright unsuccessful policies in Nigeria and Afghanistan.\n",
    "\n",
    "Moreover, the bulk of today’s gap between living standards and productivity levels in the United States and Mexico (and Nigeria, and Afghanistan) opened up in the past century and a half; the bulk of success (or failure) at boosting an economy’s productive potential is thus—to a historian at least—of relatively recent origin. A century and a half ago U.S. GDP per capita was four times Afghan, not twenty times. While U.S. productive potential has amplified 13-fold since 1870, Afghan has only amplified two-fold and Nigerian five-fold. (Do, however, note that life expectancies at birth have more than doubled everywhere: humanity has done better at distributing the technologies that reduce infant mortality and enable longer life expectancy across the globe than it has done at distributing the technologies that boost production.\n",
    "\n",
    "----\n",
    "\n",
    "&nbsp;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Figure 4.3: Growth since 1870: Afghan, Nigerian, Mexican, and American**\n",
    "\n",
    "<img style=\"display:block; margin-left:auto; margin-right:auto;\" src=\"http://delong.typepad.com/.a/6a00e551f08003883401b7c94a0e85970b-pi\" alt=\"4 3 Afghanistan Nigeria Mexico and U S since 1870\" title=\"4_3__Afghanistan__Nigeria__Mexico__and_U_S__since_1870.png\" border=\"0\" width=\"600\" />\n",
    "\n",
    "##### Source: _Gapminder_ <http://gapminder.org/tools>\n",
    "\n",
    "----\n",
    "\n",
    "&nbsp;"
   ]
  },
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Successful economic growth means that nearly all citizens of the United States today live better—along almost every dimension of material life—than did even the rich elites of preindustrial times. If good policies and good circumstances accelerate economic growth, bad policies and bad circumstances cripple long-run economic growth. Argentineans were richer than Swedes before World War I, but Swedes today have four times the standard of living and the productivity level of Argentineans.\n",
    "\n",
    "----\n",
    "\n",
    "&nbsp;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Box 4.1.1: Sweden and Argentina's Reversal of Fortune\n",
    "\n",
    "<span style=\"float:right;\">**Figure 4.4: Long-Run Measured Economic Growth: Sweden  \n",
    "    and Argentina, 1890-2017**</span>\n",
    "\n",
    "<img src=\"http://delong.typepad.com/.a/6a00e551f08003883401b8d2a9cc1f970c-pi\" alt=\"2017 08 11 DeLong and Olney Macroeconomics 3rd Edition\" title=\"2017-08-11_DeLong_and_Olney_Macroeconomics_3rd_Edition.png\" border=\"0\" width=\"400\" height=\"400\" style=\"float:right;\" />\n",
    "\n",
    "At the start of the twentieth century, Argentina was richer—and seen as having a brighter future—than Sweden. Europeans in large numbers were then migrating to Argentina, not Sweden—and Swedes were leaving their country in large numbers for greener pastures elsewhere, largely in the Americas. But economic policies that were mostly bad for long-run growth left Argentina far behind Sweden. The average Swede today looks to be more than sixteen times as well off in terms of material income as the average Swede of 1890. The average Argentinian today looks to be only between three and a third times as well off as their predecessor back in 1890.\n",
    " \n",
    "###### Source: _Gapminder_ <http://www.gapminder.org/data/> <http://docs.google.com/spreadsheet/pub?key=phAwcNAVuyj1jiMAkmq1iMg&output=xlsx>\n",
    "\n",
    "&nbsp;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
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   "outputs": [
    {
     "name": "stdout",
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     "text": [
      "Sweden's growth multiple over 1890-2015: 16.4138939671\n",
      "Argentinas growth multiple over 1890-2015: 3.31752104055\n"
     ]
    },
    {
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qqqpSx7y/ePECGRkZACBzHLbww7HqfBHhc0kbQ6ujo8MWcIWvUX0yNjaWWNAD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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f0cadd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Calculations for: Figure 4.4 Long-Run Measured Economic Growth: \n",
    "# Sweden and Argentina, 1890-2017\n",
    "# data previously downloaded\n",
    "# time series for measured real national product per capita for \n",
    "# Sweden and Argentina since 1890, plus source notes, accessible \n",
    "# in the argentina_sweden_dict object for later use, if needed...\n",
    "\n",
    "sourceURL = \"http://delong.typepad.com/2017-08-11-argentina-and-sweden-gdp-per-capita-1890-2015-from-gapminder.org.csv\"\n",
    "argentina_sweden_df = pd.read_csv(sourceURL, index_col = 0)\n",
    "\n",
    "argentina_sweden_dict = {}\n",
    "argentina_sweden_dict[\"df\"] = argentina_sweden_df\n",
    "argentina_sweden_dict[\"sourceURL\"] = sourceURL\n",
    "argentina_sweden_dict[\"sourceDescription\"] = \"Hans Rosling's Gapminder: http://gapminder.org\"   \n",
    "argentina_sweden_dict[\"sourceNotes\"] = \"From Gapminder World data page: http://www.gapminder.org/data/\"\n",
    "\n",
    "argentina_sweden_dict[\"df\"].plot()\n",
    "\n",
    "plt.ylim(0, )\n",
    "plt.xlabel(\"Year\", size = 15)\n",
    "plt.ylabel(\"Real GDP per Capita\", size = 15)\n",
    "plt.title(\"Swedish and Argentinian Economic Growth since 1890\", size = 30)\n",
    "\n",
    "## Calculate the difference in growth multiples between Sweden and\n",
    "## Argentina since 1890\n",
    "\n",
    "# Sweden's measured growth multiple over 1890-2015:\n",
    "\n",
    "Sweden_multiple18902015 = argentina_sweden_df.Sweden[2015]/argentina_sweden_df.Sweden[1890]\n",
    "\n",
    "# Argentina's measured growth multiple over 1890-2015:\n",
    "\n",
    "Argentina_multiple18902015 = argentina_sweden_df.Argentina[2015]/argentina_sweden_df.Argentina[1890]\n",
    "\n",
    "print(\"Sweden's growth multiple over 1890-2015:\", Sweden_multiple18902015)\n",
    "print(\"Argentinas growth multiple over 1890-2015:\", Argentina_multiple18902015)\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "# Possible Exercises: \n",
    "# -------------------\n",
    "#\n",
    "# 1. Calculate and print the year that Sweden surpasses Argentina\n",
    "# 2. Calculate and print the 20-year period over which Sweden's growth\n",
    "#    rate was slowest\n",
    "# 3. Calculate and pritn the 20-year period over which Argentina's\n",
    "#    growth rate was fastest\n",
    "# 4. Do you get the same impression of relative economic success and\n",
    "#    disappointment if you plot not the levels but the logs of GDP\n",
    "#    per capita alongside each other?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "----\n",
    "\n",
    "&nbsp;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Box 4.1.2: Gapminder: An Information Source: \n",
    "\n",
    "On the World Wide Web at: <http://gapminder.org> is _Gapminder_. It is, its mission statement says:\n",
    "\n",
    ">an independent Swedish foundation... a fact tank, not a think tank.... fight[ing] devastating misconceptions about global development. Gapminder produces free teaching resources making the world understandable based on reliable statistics. Gapminder promotes a fact-based worldview everyone can understand...\n",
    "\n",
    "and Gapminder exists because:\n",
    "\n",
    ">We humans are born with a craving for... drama. We pay attention to dramatic stories and we get bored if nothing happens. Journalists and lobbyists tell dramatic stories... about extraordinary events and unusual people. The piles of dramatic stories pile up in people’s minds into an overdramatic worldview and strong negative stress feelings: “The world is getting worse!”, “It’s we vs. them!” , “Other people are strange!”, “The population just keeps growing!” and “Nobody cares!” For the first time in human history reliable statistics exist. There’s data for almost every aspect of global development. The data shows a very different picture: a world where most things improve.... [where] decisions [are] based on universal human needs... easy to understand....\n",
    "\n",
    ">Fast population growth will soon be over. The total number of children in the world has stopped growing.... We live in a globalized world, not only in terms of trade and migration. More people than ever care about global development! The world has never been less bad. Which doesn’t mean it’s perfect. The world is far from perfect.\n",
    "\n",
    ">The dramatic worldview has to be dismantled, because it is stressful... wrong.... leads to bad focus and bad decisions. We know this because we have measured the global ignorance... [of] top decision makers... journalists, activists, teachers and the general public. This has nothing to do with intelligence. It’s a problem of factual knowledge. Facts don’t come naturally. Drama and opinions do. Factual knowledge has to be learned. We need to teach global facts in schools and in corporate training. This is an exciting problem to work on and we invite all our users to join the Gapminder movement for global factfulness. The problem can be solved, because the data exists...\n",
    "\n",
    "Do not be globally ignorant! Explore—and use—Gapminder! And watch Ola and Hans Rosling's \"How Not to Be Ignorant about the World\" talk at: <https://www.youtube.com/watch?v=Sm5xF-UYgdg>..com/embed/Sm5xF-UYgdg\" frameborder=\"0\" allow=\"encrypted-media\" ></iframe>\n",
    "\n",
    "----\n",
    "\n",
    "&nbsp;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4.3.2.2 The Balanced Growth Capital-Output Ratio\n",
    "\n",
    "But at what value will the economy’s capital-output ratio be constant? Here is where allowing n and g to take on values other than 0 matters. The capital-output ratio will be constant—and therefore we’ll be in balanced-growth equilibrium — when K/Y = s/(n + g + δ). Add up the economy’s labor-force growth rate, efficiency-of-labor growth rate, and depreciation rate; divide the saving-investment rate by that sum; and that is your balanced-growth equilibrium capital-output ratio.\n",
    "\n",
    "Why is s/(n + g + δ) the capital-output ratio in equilibrium? Think of it this way: Suppose the economy is in balanced growth. How much is it investing? There must be investment equal to δK to replace depreciated capital. There must be investment equal to nK to provide the extra workers in the labor force, which is expanding at rate n, with the extra capital they will need. And, since the efficiency of labor is growing at rate g, there must be investment equal to gK in order for the capital stock to keep up with increasing efficiency of labor.\n",
    "\n",
    "Adding these three parts of required investment together and setting the sum equal to the gross investment sY actually going on gets us (n + g + δ)K = sY as a condition for capital and output to be in balance. Thus the economy’s investment requirements for balanced growth equal the actual flow of investment when:\n",
    "\n",
    "(4.3.1)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;\n",
    "$ \\frac{K}{Y} = \\frac{s}{n+g+δ}  $\n",
    "\n",
    "This is the balanced-growth equilibrium condition. When it is attained, what the capital-output ratio K/Y will be is constant because s, n, g, and δ are all constant. So when there is balanced growth—when output per worker Y/L and capital per worker K/L are growing at the same rate—the capital-output ratio K/Y will be constant. If the capital-output ratio K/Y is lower than s/(n + g + &delta;), then depreciation (&delta;K) plus the amount (n + g)K that capital needs to grow to keep up with growing output will be less than investment (sY), so the capital-output ratio will grow. It will keep growing until K/Y reaches s/(n + g + &delta;). If the capital-output ratio K/Y is greater than s/(n + g + &delta;), then depreciation (&delta;K) plus the amount (n + g)K that capital needs to grow to keep up with growing output will be greater than investment (sY), so the capital-output ratio will shrink. It will keep shrinking until K/Y falls to s/(n + g + &delta;). \n",
    "\n",
    "----\n",
    "\n",
    "&nbsp;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4.3.2.3 Some Algebra\n",
    "\n",
    "To see more formally that K/Y = s/(n + g + δ) is the balanced-growth equilibrium condition requires a short march through algebra—simple algebra, we promise. Start with the production function in its per worker form:\n",
    "\n",
    "(4.3.2)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;\n",
    "$ \\frac{Y}{L} = \\left(\\frac{K}{L}\\right)^α \\left(E\\right)^{1-α} $\n",
    "\n",
    "Break the capital-labor ratio down into the capital-output ratio times output per worker:\n",
    "\n",
    "(4.3.3)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;\n",
    "$ \\frac{Y}{L} = \\left(\\frac{K}{Y}\\frac{Y}{L}\\right)^α \\left(E\\right)^{1-α} $\n",
    "\n",
    "Regroup:\n",
    "\n",
    "(4.3.4)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;\n",
    "$ \\frac{Y}{L} = \\left(\\frac{Y}{L}\\right)^α\\left(\\frac{K}{Y}\\right)^α \\left(E\\right)^{1-α} $\n",
    "\n",
    "Collect terms:\n",
    "\n",
    "(4.3.4)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;\n",
    "$ \\left(\\frac{Y}{L}\\right)^{1-α} = \\left(\\frac{K}{Y}\\right)^α \\left(E\\right)^{1-α} $\n",
    "\n",
    "And clean up:\n",
    "\n",
    "(4.3.5)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;\n",
    "$ \\left(\\frac{Y}{L}\\right) = \\left(\\frac{K}{Y}\\right)^{\\frac{α}{1-α}} \\left(E\\right) $\n",
    "\n",
    "This tells us that _if the capital-output ratio K/L is constant, then the proportional growth rate of output per worker is the same as the proportional growth rate of E_. And the proportional growth rate of labor efficiency E is the constant g. \n",
    "\n",
    "Recall  that the labor force is growing at a constant proportional rate n. With output per worker growing at rate g and the number of workers growing at rate n, total output is growing at the constant rate n + g. Thus for the capital-output ratio K/Y to be constant, the capital stock also has to be growing at rate n + g. \n",
    "\n",
    "This means that the annual change in the capital stock must be: (n + g)K. Add in investment necessary to compensate for depreciation, and we have:\n",
    "\n",
    "(4.3.1)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;\n",
    "$ \\frac{K}{Y} = \\frac{s}{n+g+δ}  $\n",
    "\n",
    "as our balanced-growth equilibrium condition.\n",
    "\n",
    "----\n",
    "\n",
    "&nbsp;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 4.3.3 Understanding the Solow Model\n",
    "\n",
    "### 4.3.3.1 Deriving the Balanced Growth Path for Output per Worker\n",
    "\n",
    "Along what path for output per worker will the balanced-growth equilibrium condition be satisfied? Y/L is, after all, our best simple proxy for the economy’s overall level of prosperity: for material standards of living and for the possession by the economy of the resources needed to diminish poverty. Let’s calculate the level of output per worker Y/L along the balanced-growth path.\n",
    "\n",
    "Begin with the capital-output ratio version of the production function that we just calculated above:\n",
    "\n",
    "(4.3.5)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;\n",
    "$ \\left(\\frac{Y}{L}\\right) = \\left(\\frac{K}{Y}\\right)^{\\frac{α}{1-α}} \\left(E\\right) $\n",
    "\n",
    "Since the economy is on its balanced-growth path, it satisfies the equilibrium con  dition K/Y = s/(n + g + δ). Substitute that in:\n",
    "\n",
    "(4.3.6)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;\n",
    "$ \\left(\\frac{Y}{L}\\right) = \\left(\\frac{s}{n+g+δ}\\right)^{\\frac{α}{1-α}} \\left(E\\right) $\n",
    "\n",
    "s, n, g, δ, and α are all constants, and so [s/(n + g + δ)]<sup>(α/(1-α))</sup>;is a constant as well. This tells us that along the balanced-growth path, output per worker is simply a constant multiple of the efficiency of labor, with the multiple equal to:\n",
    "\n",
    "(4.3.7)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;\n",
    "$ \\left(\\frac{s}{n+g+δ}\\right)^{\\frac{α}{1-α}}  $\n",
    "\n",
    "Over time, the efficiency of labor grows. Each year it is g percent higher than the last year. Since along the balanced-growth path output per worker Y/L is just a constant multiple of the efficiency of labor, it too must be growing at the same proportional rate g.\n",
    "\n",
    "Now it is time to introduce time subscripts, for we want to pay attention to where the economy is now, where it was whence, and where it will be when. So rewrite (4.3.6) as:\n",
    "\n",
    "(4.3.8)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;\n",
    "$ \\left(\\frac{Y_t}{L_t}\\right) = \\left(\\frac{s}{n+g+δ}\\right)^{\\frac{α}{1-α}} \\left(E_t\\right) $\n",
    "\n",
    "Paying attention to the equations for how labor efficiency and the labor force grow over time, $ E_t = E_0(1 + g)^t  $ and $ L_t = L_0(1 + n)^t  $, we can plug in and solve for what Y/L and Y will be at any time t—as long as the economy is on its balanced-growth path.\n",
    "\n",
    "----\n",
    "\n",
    "&nbsp;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4.3.3.2 Interpreting the Balanced Growth Path for Output per Worker\n",
    "\n",
    "We now see how capital intensity and technological and organizational progress drive economic growth. Capital intensity—the economy’s capital-output ratio—determines what is the multiple of the current efficiency of labor E that balanced-growth path output per worker Y/L is. Things that increase capital intensity—raise the capital-output ratio—make balanced-growth output per worker a higher multiple of the efficiency of labor. Thus they make the economy richer. Things that reduce capital intensity make balanced-growth output per worker a lower multiple of the efficiency of labor, and so make the economy poorer.\n",
    "\n",
    "Suppose that α is 1/2, so that α/(l—α) is 1, and that s is equal to three times n + g + δ, so that the balanced-growth capital-output ratio is 3. Then balanced-growth output per worker is simply equal to three times the efficiency of labor. If we consider another economy with twice the saving rate s, its balanced-growth capital-output ratio is 6, and its balanced-growth level of output per worker is twice as great a multiple of the level of the efficiency of labor.\n",
    "\n",
    "The higher is the parameter α—that is, the slower diminishing returns to investment set in—the stronger is the effect of changes in the economy’s balanced-growth capital intensity on the level of output per worker, and the more important are thrift and investment incentives and other factors that influence s relative to those that influence the efficiency of labor.\n",
    "\n",
    "Note—this is important- that changes in the economy’s capital intensity shift the balanced-growth path up or down to a different multiple of the efficiency of labor, but the growth rate of Y/L along the balanced-growth path is simply the rate of growth g of the efficiency of labor E. The material standard of living grows at the same rate as labor efficiency. \n",
    "\n",
    "To change the very long run growth rate of the economy you need to change how fast the efficiency of labor grows. Changes in the economy that merely alter the capital-output ratio will not do it.\n",
    "\n",
    "This is what tells us that technology, organization, worker skills—all those things that increase the efficiency of labor and keep on increasing it—are ultimately more important to growth in output per worker than saving and investment. The U.S. economy experienced a large increase in its capital-output ratio in the late nineteenth century. It may be experiencing a similar increase now, as we invest more and more in computers. But the Gilded Age industrialization came to an end, and the information technology revolution will run its course. Aside from these episodes, it is growth in the efficiency of labor E that sustains and accounts for the lion’s share of long-run economic growth.\n",
    "\n",
    "----\n",
    "\n",
    "&nbsp;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4.3.3.3 Off the Balanced Growth Path\n",
    "\n",
    "To calculate what output per worker would be if the economy were to be on its balanced-growth path is a straightforward three-step procedure:\n",
    "\n",
    "1. Calculate the balanced-growth equilibrium capital-output ratio s/(n + g + δ), the saving rate s divided by the sum of the labor-force growth rate n, the efficiency of labor growth rate g, and the depreciation rate δ.\n",
    "2. Raise the balanced-growth capital-output ratio to the α/(l-α) power, where α is the diminishing-retums-to-investment parameter in the production function. \n",
    "3. Multiply the result by the current value of the efficiency of labor E. The result is the current value of what output per worker would be if the economy were on its balanced growth path, and the path traced out by that result as E grows over time is the balanced-growth path for output per worker.\n",
    "\n",
    "But is this of use if the economy is not on its balanced growth path?\n",
    "\n",
    "How can we use a model which assumes that the economy is on its balanced-growth path to analyze a sit  uation in which the economy is not on that path? We still can use the model—and this is an important part of the magic of economics—because being on the balanced-growth path is an equilibrium condition. In an economic model, the thing to do if an equilibrium condition is not satisfied is to wait and, after a while, look again. When we look again, it will be satisfied.\n",
    "Whenever the capital-output ratio K/Y is above its balanced-growth equilibrium value s/(n + g + δ), K/Y is falling: Investment is insufficient to keep the capital stock growing as fast as output. Whenever K/Y is below its balanced-growth equilibrium value, K/Y is rising: Capital stock growth outruns output. And as the capital-output ratio converges to its balanced-growth value, so does the economy’s level of output per worker converge to its balanced-growth path.\n",
    "\n",
    "The fact that an economy converges to its balanced-growth path makes analyzing the long-run growth of an economy relatively easy as well even when the economy is not on its balanced-growth path:\n",
    "\n",
    "1. Calculate the balanced-growth path.\n",
    "2. From the balanced-growth path, forecast the future of the economy: If the\n",
    "economy is on its balanced-growth path today, it will stay on that path in the future (unless some of the parameters—n, g, δ, s, and α—change).\n",
    "3. If those parameters change, calculate the new, shifted balanced-growth path and predict that the economy will head for it.\n",
    "4. If the economy is not on its balanced-growth path today, it is heading for that path and will get there eventually.\n",
    "\n",
    "Thus _long run_ economic forecasting becomes simple. All you have to do is predict that the economy will head for its balanced-growth path, and calculate what the balanced-growth path is.\n",
    "\n",
    "----\n",
    "\n",
    "&nbsp;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4.3.3.4 Converging to the Balanced Growth Path\n",
    "\n",
    "How fast does an economy head for its balanced-growth path? Does the convergence of an economy following the Solow growth model to its balanced-growth path take a year, or five years, or is it a matter of decades?\n",
    "\n",
    "It is a matter of decades. But to see this requires more algebra:\n",
    "\n",
    "Those of you for whom calculus is a tool and an intellectual force multiplier rather than a ritualistic obstacle to thought can start with the output form of the production function:\n",
    "\n",
    "(4.3.9)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;\n",
    "$ Y = K^α(EL)^{(1-α)}  $\n",
    "\n",
    "Take first logarithms, and then derivatives to obtain:\n",
    "\n",
    "(4.3.10)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;\n",
    "$\\frac{d(ln(Y_{t}))}{dt} = \\alpha\\frac{d(ln(K_t))}{dt} + (1-\\alpha)\\frac{d(ln(E_t))}{dt} + (1-\\alpha)\\frac{d(ln(L_t))}{dt}$\n",
    "\n",
    "Note that since the derivative of a logarithm is simply a proportional growth rate, that (4.3.10) is an equation that tells us that—on or off of the balanced-growth path—the proportional growth rate of output is a function of the parameter α and of the growth rates of the capital stock, the labor force, and the efficiency of labor.\n",
    "\n",
    "To keep those of you for whom math is not so much a tool and intellectual force multiplier on the same page, we are simply going to write \"g<sub>x</sub>\" for the proportional growth rate of an economic variable X. Thus g<sub>Y</sub> is the proportional growth rate of output Y. g<sub>K</sub> is the proportional growth rate of the capital stock K. And so forth. \n",
    "\n",
    "(4.3.10) can then become a friendlier form: an equation about growth rates, an equation the truth of which isbuilt into the definitions of logarithms, proportional growth rates, and the Cobb-Douglas production function:\n",
    "\n",
    "(4.3.10')&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;\n",
    "$ g_Y = αg_K + (1-α)g_L + (1-α)g_E  $\n",
    "\n",
    "We know what the proportional growth rates of the labor force L and labor efficiency E are in the Solow model: they are n and g:\n",
    "\n",
    "(4.3.11)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;\n",
    "$ g_Y = αg_K + (1-α)(n + g)  $\n",
    "\n",
    "Now subtract both sides of this from the growth rate of the capital stock:\n",
    "\n",
    "(4.3.12)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;\n",
    "$ g_K - g_Y = (1-α)g_K - (1-α)(n + g)  $\n",
    "\n",
    "We are almost done. Then to determine what the growth rate of the capital stock is, we simply take its change, sY - δK, and divide it by its level, K—but only on the right hand side:\n",
    "\n",
    "(4.3.13)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;\n",
    "$ g_K - g_Y = (1-α)\\left(s\\left(\\frac{Y}{K}\\right) - δ\\right) - (1-α)(n + g)  $\n",
    "\n",
    "The proportional growth rate of the quotient of two variables is just the difference between the proportional growth rates of the numerator and the denominator. Thus the left hand side is:\n",
    "\n",
    "(4.3.14)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;\n",
    "$ g_{K/Y} = (1-α)s\\left(\\frac{Y}{K}\\right) - (1-α)(n + g + δ)  $\n",
    "\n",
    "And since the proportional growth rate of a variable is its rate of change divided by its level, the left hand side is:\n",
    "\n",
    "(4.3.15)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;\n",
    "$ \\frac{d(K/Y)/dt}{K/Y} = (1-α)s\\left(\\frac{Y}{K}\\right) - (1-α)(n + g + δ)  $\n",
    "\n",
    "Getting rid of the denominator on the left-hand side:\n",
    "\n",
    "(4.3.16)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;\n",
    "$ \\frac{d(K/Y)}{dt} = (1-α)s - (1-α)(n + g + δ)\\left(\\frac{K}{Y}\\right)  $\n",
    "\n",
    "(4.3.17)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;\n",
    "$ \\frac{d(K/Y)}{dt} = - (1-α)(n + g + δ)\\left(\\frac{K}{Y} - \\frac{s}{n + g + δ}\\right)  $\n",
    "\n",
    "This equation tells us three things:\n",
    "\n",
    "* When the capital-output ratio K/Y is equal to s/(n+g+δ), it is indeed the case that it is stable.\n",
    "\n",
    "* When K/Y is above that s/(n+g+δ) value, it is falling; when it is below, it is rising.\n",
    "\n",
    "* The speed with which it is falling or rising is always proportional to the gap between K/Y and s/(n+g+δ), with the factor of proportionality equal to (1-α)(n+g+δ)\n",
    "\n",
    "----\n",
    "\n",
    "&nbsp;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4.3.3.5 Solving for the Time Path of the Capital-Labor Ratio\n",
    "\n",
    "This march through algebra has just confirmed the arguments made so far. So what extra good—besides serving as a check on correctness—has this algebra done us?\n",
    "\n",
    "It has done us good because equation (4.3.17) is a very special equation: it has a rate of change of something on the left hand side. It has the level of something on the right hand side. It has a negative constant multiplying the level. It is a _convergent exponential_. The function that satisfies this equation is:\n",
    "\n",
    "(4.3.18)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;\n",
    "$ \\frac{K_t}{Y_t} = \\frac{s}{\\delta + n + g} + \\left(C - \\frac{s}{\\delta + n + g}\\right) e^{-(1 - \\alpha)(\\delta + g + n)t}  $\n",
    "\n",
    "for the appropriate constant C.\n",
    "\n",
    "What is the value of this constant C? Well, we know what the capital-output ratio is right now, when we start our analysis, which we might as well take to be the time t = 0. If we do take now to be time t = 0, and take K<sub>0</sub>/Y<sub>0</sub> for the capital output tday, then we can substitute in for the constant C:\n",
    "\n",
    "(4.3.19)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;\n",
    "$ \\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",
    "This tells us that, when it is off the equilibrium balanced-growth path, the capital-output ratio of a Solow growth model economy is a weighted average of (a) its initial capital-output ratio K<sub>0</sub>/Y<sub>0</sub> and (b) its long-run balanced-growth capital-output ratio s/(n+g+δ), with the weight placed on the first declining exponentially according to the function exp(-(1-α)(n + g + δ)t)\n",
    "\n",
    "This tells us that, in the Solow growth model, an economy will close a fraction (1 — α)(n + g + δ) of the gap between its current position and the balanced-growth path each year. If (1 — α)(n + g + δ) turns out to be equal to 0.05, the capital-output ratio will close 5 percent of the gap between its current level and its balanced-growth value each year. It would close half of the gap in fourteen years. It would close three-quarters of the gap in 28 years.\n",
    "\n",
    "The Solow growth model is thus definitely a long-run model. It predicts that in the short run things will pretty much stay as they have been. If that is not right—if there are interesting and important fluctuations in the short run—the Solow model knows nothing about them. For them we will have to turn to the models of Chapter 6 and beyond."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "# convergence to the balanced growth path\n",
    "#\n",
    "# we need to alter our dataframe in order to add a BGP line\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 our small simulation program inside a function, so \n",
    "# we can then invoke it with a single line...\n",
    "\n",
    "def sgm_bgp_100yr_run(L0, E0, K0, n=0.01, g=0.02, s=0.15, alpha=0.5, delta=0.03, T = 100):\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",
    "        'BGP_Output',\n",
    "        'BGP_Output_per_Worker',\n",
    "        'BGP_Capital_Output_Ratio',\n",
    "        'BGP_Capital'],\n",
    "        dtype='float')\n",
    "\n",
    "    sg_df.Labor[0] = L0\n",
    "    sg_df.Efficiency[0] = E0\n",
    "    sg_df.Capital[0] = K0\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",
    "    sg_df.BGP_Capital_Output_Ratio[0] = (s / (n + g + delta))\n",
    "    sg_df.BGP_Output_per_Worker[0] = sg_df.Efficiency[0] * (\n",
    "        sg_df.BGP_Capital_Output_Ratio[0]*(alpha/(1 - alpha)))\n",
    "    sg_df.BGP_Output[0] = sg_df.BGP_Output_per_Worker[0] * sg_df.Labor[0]\n",
    "    sg_df.BGP_Capital[0] = sg_df.Labor[0] * sg_df.Efficiency[0] * (\n",
    "        sg_df.BGP_Capital_Output_Ratio[0]*(1/(1 - alpha)))\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 + (\n",
    "            sg_df.Output[i] * s)\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",
    "        sg_df.BGP_Capital_Output_Ratio[i+1] = (s / (n + g + delta))\n",
    "        sg_df.BGP_Output_per_Worker[i+1] = sg_df.Efficiency[i+1] * (\n",
    "            sg_df.BGP_Capital_Output_Ratio[i+1]**(alpha/(1 - alpha)))\n",
    "        sg_df.BGP_Output[i+1] = (sg_df.BGP_Output_per_Worker[i+1] * \n",
    "            sg_df.Labor[i+1])\n",
    "        sg_df.BGP_Capital[i+1] = (s / (n + g + delta))**(1/(1-alpha)) * (\n",
    "            sg_df.Efficiency[i+1] * sg_df.Labor[i+1])\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",
    "    plt.ylim(0, )\n",
    "\n",
    "    ax2 = plt.subplot(3,2,2)\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_Capital.plot(ax = ax3, title = \"BGP 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_Output.plot(ax = ax4, title = \"BGP 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_Output_per_Worker.plot(ax = ax5, \n",
    "        title = \"BGP 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_Capital_Output_Ratio.plot(ax = ax6, \n",
    "        title = \"BGP 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, \"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": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
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YfDJ88wl5XuT39zaLt7d3tm3d3NyA/LU1axpJk8nEyZMnWb58OQ4ODowdO9bczoKqVq1a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/GfNYfIcxRi7HyUaGsk0/pdGuiQzqlTNvDJycncfffdWK1W3nrrLWw2Gx9//DHPPvsszz777Gl3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U6d\nOiXmz58vc6K2sXPnTpGUlCSEEKKyslKEhYWJuLg4kZmZKYQQYsWKFeLzzz+XM2KbsFgsYuHChSIi\nIkKcP39e8TNnZmaKuLg40dDQIIxGo1i/fr3iZz548KCIj48XQgiRnp4uFi9erNiZN27cKKKiosT0\n6dOFEKLZOa9cuSKioqKE2WwW1dXVjV8rBXe28p7XP8edzZ2tpJnbamcr40+bO3Szy3sryfjx4/Hs\ns88CAIQQ0Gg0yM/PR0hICABg1KhROHLkiJwR28TatWsxY8YMdOnSBQAUP3N6ejr8/f2xaNEizJ8/\nH+Hh4YqfuVevXmhoaIAkSTAajdBqtYqd2dvbGxs2bGj8vrk5c3NzERQUBJ1OBzc3N3h7e+PMmTNy\nRW513NnKe17/HHc2d7aSZm6rnc0Cj5tf3ltJXF1dodfrYTQaER8fjyVLlkAIAZVK1Xj79evXZU7Z\nunbv3g1PT8/GF3sAip+5srISeXl5WLduHV566SU899xzip/ZxcUFJSUlePjhh7FixQrExsYqdubI\nyMgmV5Rubk6j0djkKqaurq4wGo13PWtb4c5W3vP6Bu5s7mxAWTO31c7me+Bx88t7K01paSkWLVqE\nWbNmITo6Gq+99lrjbSaTCe7u7jKma327du2CSqXC0aNHUVhYiGXLluHq1auNtytxZg8PD/j6+kKn\n08HX1xdOTk64fPly4+1KnHnLli0YMWIEEhISUFpaijlz5sBqtTbersSZb/j5e0RvzPmfO81kMjV5\ncbB33Nk/UeLzmjubOxtQ5sw3tNbO5hF4/HR577S0NAD4xeW9laS8vBzz5s3D73//e0ybNg0A0L9/\nfxw7dgwAkJaWhgceeEDOiK1u27ZteP/997F161b069cPa9euxahRoxQ9c3BwMA4fPgwhBH788UfU\n1tYiNDRU0TO7u7s3LrsOHTqgvr5e8c/tG5qbc9CgQTAYDDCbzbh+/TouXLigqL3Gna3c5zV3Nnc2\noMyZb2itnc0rsaL5y3v7+fnJHavVJSUl4dNPP4Wvr2/jz55//nkkJSXBarXC19cXSUlJ0Gg0MqZs\nO7GxsVi5ciXUajVWrFih6JlfffVVHDt2DEIILF26FF5eXoqe2WQyITExEWVlZbBarZg9ezYCAgIU\nO3NxcTF+97vfISUlBRcvXmx2zpSUFCQnJ0MIgbi4OERGRsodu9VwZ3NnK21m7mzu7Nvd2SzwRERE\nRER2hG+hISIiIiKyIyzwRERERER2hAWeiIiIiMiOsMATEREREdkRFngiIiIiIjvCAk90m1atWoX4\n+PgmP0tPT8fYsWMVdbVLIiKl4N4mpWGBJ7pNCQkJyMvLQ2pqKgCgpqYGK1euxOrVq5tc3p2IiGwD\n9zYpDc8DT9QCR44cQWJiIvbv34/169dDkiQkJiYiJycHr7zyCsxmMzw9PbFq1Sp0794dR48exbp1\n62A2m1FdXY1ly5YhIiICzz33HIxGI4qKirB8+XJkZGQgMzMTarUaERERWLhwodyjEhEpAvc2KYog\nohZ5/vnnRXx8vIiKihK1tbXCbDaLqKgoUVpaKoQQ4tChQ2LevHlCCCEWLlwoLl68KIQQ4vDhw2Ly\n5MlCCCESEhJEYmKiEEKIoqIiER0dLYQQora2ViQkJAiz2XyXpyIiUi7ubVIKrdx/QBDZq+XLlyM8\nPBxvvvkmnJ2dUVhYiOLiYsTFxQEAhBAwm80AgNdffx2pqanYt28fcnJyUFNT03g/gwcPBgB07doV\nGo0Gs2bNQnh4OJYuXQqdTnf3ByMiUijubVIKFniiFtLr9XB3d0f37t0BAA0NDejZsyf27NnT+H1F\nRQWEEJg5cyaGDx+OoUOHYtiwYfjjH//YeD9OTk4AAJ1Ohx07duD48eNIS0tDTEwMtm/fDm9v77s/\nHBGRAnFvk1LwQ6xEraR3794oKyvDyZMnAQDJycn4wx/+gKtXr6K4uBjx8fEICwtDeno6GhoafvHv\nT58+jblz5yIkJATLli1Dz549cfHixbs9BhGRw+DeJnvFI/BErcTZ2Rl/+9vf8Oc//xkWiwXu7u5Y\ns2YNOnXqhEmTJmHixIlwdXVFUFAQTCYT6urqmvz7gQMHYsCAAYiKikL79u0xYMAAjBgxQqZpiIiU\nj3ub7BXPQkNEREREZEf4FhoiIiIiIjvCAk9EREREZEdY4ImIiIiI7AgLPBERERGRHWGBJyIiIiKy\nIyzwRERERER2hAWeiIiIiMiOsMATEREREdmR/wMIChE4O1uvRwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f882198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.05 is the labor force growth rate\n",
      "0.01 is the efficiency of labor growth rate\n",
      "0.03 is the depreciation rate\n",
      "0.225 is the savings rate\n",
      "0.5 is the decreasing-returns-to-scale parameter\n"
     ]
    }
   ],
   "source": [
    "sgm_bgp_100yr_run(1000, 1, 100, n=0.05, g=0.01, \n",
    "    s=0.225, alpha=0.5, delta=0.03)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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lbGyMadOmYdq0aUhISMCVK1dw+fJlnD17Fv/++y+mTZuGnTt3wsXF5YXtlH4+jIyMAJR9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\nqeMQkRWzrrX4zFBZZTn+nf4d2rRywEuhz/GjSyKyGA3tLLxz5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REREZElYdNNRERERGRi\nbLqJiIiIiEyMTTcRERERkYmx6SYiIiIiMjE23WQTVqxYgQULFtzz3OHDhzFq1Cir2/mPiMjSccwm\na8Smm2xCVFQUMjIysH//fgBAZWUloqOjERsbe8/W1EREJD2O2WSNuE432YwjR45g2bJl+OGHH7Bm\nzRoYDAYsW7YMaWlpWLVqFWpqauDq6ooVK1bAw8MDR48exUcffYSamhrcunULixcvxpgxY/Daa69B\no9GgoKAAS5YsQXJyMo4dOwa5XI4xY8Zg/vz5UpdKRGTxOGaT1RFENuSNN94QCxYsEOPHjxdVVVWi\npqZGjB8/XhQVFQkhhEhKShIzZ84UQggxf/58kZ+fL4QQ4tChQ2LixIlCCCGioqLEsmXLhBBCFBQU\niAkTJgghhKiqqhJRUVGipqamhasiIrJOHLPJmiilbvqJWtKSJUswcuRIrFu3Dvb29sjKysKVK1cw\nZ84cAIAQAjU1NQCAv//979i/fz927tyJtLQ0VFZWGl+nX79+AIBOnTpBoVDgueeew8iRI/Hqq69C\npVK1fGFERFaIYzZZEzbdZFMcHR3Rtm1beHh4AADq6urQrVs3bNu2zfi4rKwMQghERERgyJAhGDBg\nAAYNGoSlS5caX8fOzg4AoFKpsGXLFpw4cQIHDx5EeHg4/vWvf8HLy6vliyMisjIcs8macCIl2bTu\n3bujtLQUp0+fBgAkJCRg0aJFuHHjBq5cuYIFCxZgxIgROHz4MOrq6u47/8yZM3jxxRcxcOBALF68\nGN26dUN+fn5Ll0FEZBM4ZpMl45Vusmn29vb48MMPsXLlSuh0OrRt2xZxcXFwc3PDH/7wBzz99NNo\n06YN+vfvD61Wi+rq6nvO79OnD3r37o3x48fDwcEBvXv3xrBhwySqhojIunHMJkvG1UuIiIiIiEyM\nt5cQEREREZkYm24iIiIiIhNj001EREREZGJsuomIiIiITIxNNxERERGRibHpJiIiIiIyMTbdRERE\nREQmxqabiIiIiMjE/j8o496rIUwvbwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x113835898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.05 is the labor force growth rate\n",
      "0.01 is the efficiency of labor growth rate\n",
      "0.03 is the depreciation rate\n",
      "0.24 is the savings rate\n",
      "0.5 is the decreasing-returns-to-scale parameter\n"
     ]
    }
   ],
   "source": [
    "# convergence to the balanced growth path—log graphs\n",
    "#\n",
    "# we need to alter our dataframe in order to add a BGP line\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 our small simulation program inside a function, so \n",
    "# we can then invoke it with a single line...\n",
    "\n",
    "def log_sgm_bgp_100yr_run(L0, E0, K0, n=0.01, g=0.02, s=0.15, alpha=0.5, delta=0.03, T=100):\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",
    "        'BGP_Output',\n",
    "        'BGP_Output_per_Worker',\n",
    "        'BGP_Capital_Output_Ratio',\n",
    "        'BGP_Capital'],\n",
    "        dtype='float')\n",
    "\n",
    "    sg_df.Labor[0] = L0\n",
    "    sg_df.Efficiency[0] = E0\n",
    "    sg_df.Capital[0] = K0\n",
    "    sg_df.Output[0] = (sg_df.Capital[0]**alpha * (sg_df.Labor[0] * 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",
    "    sg_df.BGP_Capital_Output_Ratio[0] = (s / (n + g + delta))\n",
    "    sg_df.BGP_Output_per_Worker[0] = sg_df.Efficiency[0] * sg_df.BGP_Capital_Output_Ratio[0]*(alpha/(1 - alpha))\n",
    "    sg_df.BGP_Output[0] = sg_df.BGP_Output_per_Worker[0] * sg_df.Labor[0]\n",
    "    sg_df.BGP_Capital[0] = (s / (n + g + delta))**(1/(1-alpha)) * sg_df.Efficiency[0] * sg_df.Labor[0]\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",
    "        sg_df.BGP_Capital_Output_Ratio[i+1] = (s / (n + g + delta))\n",
    "        sg_df.BGP_Output_per_Worker[i+1] = sg_df.Efficiency[i+1] * sg_df.BGP_Capital_Output_Ratio[i+1]**(alpha/(1 - alpha))\n",
    "        sg_df.BGP_Output[i+1] = sg_df.BGP_Output_per_Worker[i+1] * sg_df.Labor[i+1]\n",
    "        sg_df.BGP_Capital[i+1] = (s / (n + g + delta))**(1/(1-alpha)) * sg_df.Efficiency[i+1] * sg_df.Labor[i+1]\n",
    "\n",
    "        \n",
    "    fig = plt.figure(figsize=(12, 12))\n",
    "\n",
    "    ax1 = plt.subplot(3,2,1)\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.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_Capital).plot(ax = ax3, title = \"BGP 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_Output).plot(ax = ax4, title = \"BGP 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_Output_per_Worker).plot(ax = ax5, title = \"BGP 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_Capital_Output_Ratio).plot(ax = ax6, title = \"BGP Capital-Output Ratio\")\n",
    "    np.log(sg_df.Capital_Output_Ratio).plot(ax = ax6, 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, \"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\")\n",
    "    \n",
    "log_sgm_bgp_100yr_run(1000, 1, 100, n=0.05, g=0.01, s=0.24, \n",
    "    alpha=0.5, delta=0.03)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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lbGyMadOmYdq0aUhISMCVK1dw+fJlnD17Fv/++y+mTZuGnTt3wsXF5YXtlH4+jIyMAJR9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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x113448390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.05 is the labor force growth rate\n",
      "0.01 is the efficiency of labor growth rate\n",
      "0.03 is the depreciation rate\n",
      "0.24 is the savings rate\n",
      "0.5 is the decreasing-returns-to-scale parameter\n"
     ]
    }
   ],
   "source": [
    "log_sgm_bgp_100yr_run(1000, 1, 50000, n=0.05, g=0.01, s=0.24, \n",
    "    alpha=0.5, delta=0.03)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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03l9qair69u0r3jYwMEBAQADu3r2LGTNmYMuWLahXrx7Onz+PTz75BIcOHQIA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ym3bLdOuA/9eK/pXoOV1PEymU1mORwOdYu9NLDFAwDgB4RrAI1mGIYKDx9XZn62dn6Tr7KagzIi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\nAADAR/4/FMaRi9XDRQ4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1139f8e80>"
      ]
     },
     "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": [
    "# 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=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",
    "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": 23,
   "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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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11396eba8>"
      ]
     },
     "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": [
    "# in levels, that is:\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": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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03l9qair69u0r3jYwMEBAQADu3r2LGTNmYMuWLahXrx7Onz+PTz75BIcOHQIA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\ncdlll2H79u3o3bs3Hn74YaxYsQI7duzApZdeiksvvTR67O2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z+VbSaK2u2aCRo0+OBpn6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\nWVou2RGeTD/mAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1133c0198>"
      ]
     },
     "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": [
    "# Now, from the s = 0.20 BGP, jump s  to 0.25:\n",
    "\n",
    "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": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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rr5vWFxcXx4IFC7C1tWX+/Pm8++67FtsTJSIPrqFDh2Jt/efoWjc3N7755hvm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Yt//etfrF69mvnz57Nw4UIxuVQQrkLdvXq2Hihm64EierRGPF1suH9OGBMjPC7a+2KS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\nIuKi/g/pVCQYGOSSEwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f660ac8>"
      ]
     },
     "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, that is:\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": "markdown",
   "metadata": {},
   "source": [
    "----\n",
    "\n",
    "&nbsp;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Box: How Fast Do Economies Converge?**\n",
    "\n",
    "\n",
    "\n",
    "----\n",
    "\n",
    "&nbsp;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Box: West Germany After World War II**\n",
    "\n",
    "The Return of the West German Economy to Its Balanced-Growth Path Economies do converge to and then remain on their balanced-growth paths. The West German econ  omy after World War II is a case in point.\n",
    "Source: J. Bradford DeLong and Barry Eichengreen, \"The Marshall Plan: History's Most Successful Structural Adjustment Programme,\" in Rudiger Dornbusch, Willhelm Nolling, and Richard Layard, eds., Postwar Economic Reconstruction and Lessons for the East Today (Cambridge, MA: MIT Press, 1993), pp. 189-230.\n",
    "\n",
    "We can see such convergence in action in many places and times. For example, consider the post-World War II history of West Germany. The defeat of the Nazis left the German economy at the end of World War II in ruins. Output per worker was less than one-third of its prewar level. The economy’s capital stock had been wrecked and devastated by three years of American and British bombing and then by the ground campaigns of the last six months of the war. But in the years immediately after the war, the West German economy’s capital-output ratio rapidly grew and con  verged back to its prewar value. As Figure 4.11 shows, within 12 years the West German economy had closed half the gap back to its pre-World War II growth path. And within 30 years the West German economy had effectively closed the entire gap between where it had started at the end of World War II and its balanced-growth path.\n",
    "\n",
    "----\n",
    "\n",
    "&nbsp;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 4.3.4 RECAP: UNDERSTANDING THE GROWTH MODEL\n",
    "\n",
    "**According to the Solow growth model, capital intensity and growth in the effi  ciency of labor together determine the destiny of an economy. The value of the balanced-growth equilibrium capital-output ratio and the economy's diminish- ing-returns-to-investment parameter determine the multiple that balanced- growth output per worker is of the current efficiency of labor. The growth rate of output per worker along the economy’s balanced-growth path is equal to the growth rate of the efficiency of labor. And if the economy is not on its balanced-growth path, the Solow growth model tells us that it is converging to it—although this convergence takes decades, not years.**\n",
    " \n",
    "----\n",
    "\n",
    "&nbsp;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 4.4 USING THE SOLOW GROWTH MODEL\n",
    "\n",
    "Up until now we have assumed that all the parameters of the Solow growth model are unchanging. This is false. But it allowed us to make progress.\n",
    "\n",
    "Now let's try to make some more progress.\n",
    "\n",
    "----\n",
    "\n",
    "&nbsp;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 4.4.1 Jumps in Parameter Values\n",
    "\n",
    "What if one or more of the parameters in the Solow growth model  were to suddenly and substantially shift? What if the labor-force growth rate were to rise, or the rate of technological progress to fall? \n",
    "\n",
    "One principal use of the Solow growth model is to analyze questions like these: how changes in the economic environment and in economic policy will affect an econ  omy’s long-run levels and growth path of output per worker Y/L.\n",
    "\n",
    "Let’s consider, as examples, several such shifts: an increase in the growth rate of the labor force n, a change in the economy’s saving-investment rate s, and a change in the growth rate of labor efficiency g. All of these will have effects on the balanced- growth path level of output per worker. But only one—the change in the growth rate of labor efficiency — will permanently affect the growth rate of the economy.\n",
    "\n",
    "----\n",
    "\n",
    "&nbsp;\n",
    "\n",
    "## 4.4.2 A Shift in the Labor-Force Growth Rate\n",
    "\n",
    "Real-world economies exhibit profound shifts in labor-force growth. The average woman in India today has only half the number of children that the average woman in India had only half a century ago. The U.S. labor force in the early eighteenth century grew at nearly 3 percent per year, doubling every 24 years. Today the U.S. labor force grows at 1 percent per year. Changes in the level of prosperity, changes in the freedom of migration, changes in the status of women that open up new categories of jobs to them (Supreme Court Justice Sandra Day O’Connor could not get a private-sector legal job in San Francisco when she graduated from Stanford Law School even with her amazingly high class rank), changes in the average age of marriage or the availability of birth control that change fertility — all of these have powerful effects on economies’ rates of labor-force growth.\n",
    "\n",
    "What effects do such changes have on output per worker Y/L — on our mea  sure of material prosperity? The faster the growth rate of the labor force n, the lower will be the economy’s balanced-growth capital-output ratio s/(n + g - δ). Why? Because each new worker who joins the labor force must be equipped with enough capital to be productive and to, on average, match the productivity of his or her peers. The faster the rate of growth of the labor force, the larger the share of current investment that must go to equip new members of the labor force with the capital they need to be productive. Thus the lower will be the amount of invest  ment that can be devoted to building up the average ratio of capital to output.\n",
    "\n",
    "A sudden and permanent increase in the rate of growth of the labor force will lower the level of output per worker on the balanced-growth path. How large will the long-run change in the level of output be, relative to what would have hap  pened had labor-force growth not increased? It is straightforward to calculate if we know the other parameter values, as is shown in Box 4.7.\n",
    "\n",
    "----\n",
    "\n",
    "&nbsp;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Box: AN INCREASE IN THE LABOR-FORCE GROWTH RATE: AN EXAMPLE\n",
    "Consider an economy in which the parameter a is 1/2, the efficiency of labor growth rate g is 1.5 percent per year, the depreciation rate 8 is 3.5 percent per year, and the saving rate s is 21 percent. Suppose that the labor-force growth rate sud  denly and permanently increases from 1 to 2 percent per year.\n",
    "Before the increase in the labor-force growth rate, the balanced-growth equilib  rium capital-output ratio was\n",
    "After the increase in the labor-force growth rate, the new balanced-growth equi  librium capital-output ratio will be\n",
    "Before the increase in labor-force growth, the level of output per worker along the balanced-growth path was equal to\n",
    "After the increase in labor-force growth, the level of output per worker along the balanced-growth path will be equal to\n",
    "This fall in the balanced-growth path level of output per worker means that in the very long run — after the economy has converged to its new balanced-growth path — one-seventh of its economic prosperity has been lost because of the increase in the rate of labor-force growth.\n",
    "In the short run of a year or two, however, such an increase in the labor-force growth rate has little effect on output per worker. In the months and years after labor-force growth increases, the increased rate of labor-force growth has had no time to affect the economy’s capital-output ratio. But over decades and generations, the capital-output ratio will fall as it converges to its new balanced-growth equi  librium level.\n",
    "A sudden and permanent change in the rate of growth of the labor force will immediately and substantially change the level of output per worker along the economy’s balanced-growth path: It will shift the balanced-growth path for output per worker up (if labor-force growth falls) or down (if labor-force growth rises). But there is no corresponding immediate jump in the actual level of output per worker in the economy. Output per worker doesn’t immediately jump — it is just that the shift in the balanced-growth path means that the economy is no longer in its Solow growth model long-run equilibrium.\n",
    "It takes time, decades and generations, for the economy to converge to its new balanced-growth path equilibrium, and thus for the shift in labor-force\n",
    "\n",
    "----\n",
    "\n",
    "&nbsp;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Box: The Labor-Force Growth Rate Matters \n",
    "\n",
    "The average country with\n",
    "a labor-force growth rate of less than 1 percent per year has an output-per- worker level that is nearly 60 percent of the U.S. level. The average country with a labor-force growth rate of more than 3 per  cent per year has an out- put-per-worker level that is only 20 percent of the U.S. level. To some degree\n",
    "poor countries have fast labor-force growth rates because they are poor: Causation runs both ways. Nevertheless, high labor- force growth rates are a powerful cause of low cap  ital intensity and relative poverty in the world today.\n",
    "Source: Authors' calculations from Alan Heston, Robert Summers, and Bettina Aten, Penn World Table Version 6.1, Center for International Comparisons at the University of Pennsylvania (CICUP), October 2002, www.nber.org.\n",
    "\n",
    "----\n",
    "\n",
    "&nbsp;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "How important is all this in the real world? Does a high rate of labor-force growth play a role in making countries relatively poor not just in economists’ models but in reality? It turns out that it is important, as Figure 4.12 on page 110 shows. Of the 22 countries in the world with output-per-worker levels at least half of the U.S. level, 18 have labor-force growth rates of less than 2 percent per year, and 12 have labor-force growth rates of less than 1 percent per year. The additional investment requirements imposed by rapid labor-force growth are a powerful reducer of capital intensity and a powerful obstacle to rapid economic growth.\n",
    "\n",
    "growth to affect average prosperity and living standards. But the time needed is reason for governments that value their countries’ long-run prosperity to take steps now (or even sooner) to start assisting the demographic transition to low levels of population growth. Female education, social changes that provide women with more opportunities than being a housewife, inexpensive birth control — all these pay large long-run dividends as far as national prosperity levels are concerned.\n",
    "U.S. President John F Kennedy used to tell a story of a retired French general, Marshal Lyautey, “who once asked his gardener to plant a tree. The gardener objected that the tree was slow-growing and would not reach maturity for a hun  dred years. The Marshal replied, ‘In that case, there is no time to lose, plant it this afternoon.’”\n",
    "\n",
    "----\n",
    "\n",
    "&nbsp;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 4.4.3 The Saving Rate and the Price of Capital Goods\n",
    "\n",
    "The most frequent sources of shifts in the parameters of the Solow growth model are shifts in the economy’s saving-investment rate. The rise of politicians eager to promise goodies — whether new spending programs or tax cuts — to voters induces large government budget deficits, which can be a persistent drag on an economy’s saving rate and its rate of capital accumulation. Foreigners become alternately overoptimistic and overpessimistic about the value of investing in our country, and\n",
    "\n",
    " so either foreign saving adds to or foreign capital flight reduces our own saving- investment rate. And changes in households’ fears of future economic disaster, in households’ access to credit, or in any of numerous other factors change the share of household income that is saved and invested as well.\n",
    " \n",
    "What effects do changes in saving rates have on the balanced-growth path lev  els of Y/L? The higher the share of national product devoted to saving and gross investment — the higher is s — the higher will be the economy’s balanced-growth capital-output ratio s/(n + g + 5). Why? Because more investment increases the amount of new capital that can be devoted to building up the average ratio of cap  ital to output. Double the share of national product spent on gross investment, and you will find that you have doubled the economy’s capital intensity, or its average ratio of capital to output.\n",
    "\n",
    "One way to think about this is that the equilibrium is the point at which the economy’s investment effort and its investment requirements are in balance. Invest  ment effort is simply s, the share of total output devoted to saving and investment. Investment requirements are the amount of new capital needed to replace depre  ciated and worn-out machines and buildings, plus the amount needed to equip new workers who increase the labor force, plus the amount needed to keep the stock of tools and machines at the disposal of workers increasing at the same rate as the efficiency of their labor. So double the saving rate and you double the balanced-growth capital-output ratio, as seen in Box 4.8.\n",
    "\n",
    "----\n",
    "\n",
    "&nbsp;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Box: AN INCREASE IN THE SAVING-INVESTMENT RATE: AN EXAMPLE\n",
    "\n",
    "To see how an increase in the economy’s saving rate s changes the balanced-growth path for output per worker, consider an economy in which the parameter a is 2/3, the rate of labor-force growth n is 1 percent per year, the rate of labor efficiency growth g is 1.5 percent per year, and the depreciation rate 8 is 3.5 percent per year. Suppose that the saving rate s, which was 18 percent, suddenly and permanently jumped to 24 percent of output.\n",
    "Before the increase in the saving rate, when s was 18 percent, the balanced- growth equilibrium capital-output ratio was\n",
    "After the increase in the saving rate, the new balanced-growth equilibrium capital- output ratio will be\n",
    "Before the increase in saving, the balanced-growth path for output per worker was\n",
    "After the increase in saving, the balanced-growth path for output per worker will be\n",
    "\n",
    "Divide the second equation by the first. We see that balanced-growth path output per worker after the jump in the saving rate is higher by a factor of 16/9, or fully 78 percent higher.\n",
    "\n",
    "Just after the increase in saving has taken place, the economy is still on its old, balanced-growth path. But as decades and generations pass the economy converges to its new balanced-growth path, where output per worker is not 9 but 16 times the efficiency of labor. The jump in capital intensity makes an enormous differ  ence for the economy’s relative prosperity.\n",
    "\n",
    "Note that this example has been constructed to make the effects of capital inten  sity on relative prosperity large: The high value for the diminishing-returns-to- investment parameter a means that differences in capital intensity have large and powerful effects on output-per-worker levels.\n",
    "\n",
    "But even here, the shift in saving and investment does not permanently raise the economy’s growth rate. After the economy has settled onto its new balanced-growth path, the growth rate of output per worker returns to the same 1.5 percent\n",
    "per year that is g, the growth rate of the efhciency of labor.\n",
    "\n",
    "----\n",
    "\n",
    "&nbsp;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The same consequences as a low saving rate — a lower balanced-growth capital- output ratio — would follow from a country that makes the purchase of capital goods expensive. An abnormally high price of capital goods can translate a reasonably high saving effort into a remarkably low outcome in terms of actual gross additions to the real capital stock. The late economist Carlos Diaz-Alejandro placed the blame for much of Argentina’s poor growth performance since World War II on trade policies that restricted imports and artificially boosted the price of capital goods. Economist Charles\n",
    "Jones reached the same conclusion for India. And economists Peter Klenow and Chang-Tai Hsieh argued that the world structure of prices that makes capital goods relatively expensive in poor countries plays a major role in blocking development.\n",
    "\n",
    "How important is all this in the real world? Does a high rate of saving and investment play a role in making countries relatively rich not just in economists’ models but in reality? It turns out that it is important indeed, as Figure 4.13 shows. Of the 22 countries in the world with output-per-worker levels at least half of the U.S. level, 19 have investment that is more than 20 percent of output. The high capital-output ratios generated by high investment efforts are a very powerful source of relative prosperity in the world today.\n",
    "\n",
    "----\n",
    "\n",
    "&nbsp;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4.4.4 Growth Rate of the Efficiency of Labor\n",
    "\n",
    "By far the most important impact on an economy’s balanced-growth path values of output per worker, however, is from shifts in the growth rate of the efhciency of labor g. We already know that growth in the efhciency of labor is absolutely essen  tial for sustained growth in output per worker and that changes in g are the only things that cause permanent changes in growth rates that cumulate indehnitely.\n",
    "Recall yet one more time the capital-output ratio form of the production function:\n",
    "The capital-output ratio K/Y is constant along the balanced-growth path. The retums- to-investment parameter a is constant. And so the balanced-growth path level of out  put per worker Y/L grows only if and only as fast as the efhciency of labor E grows.\n",
    "\n",
    "FIGURE 4.13\n",
    "Investment Shares of Output and Relative Prosperity The average country with an investment share of output of more\n",
    "than 25 percent has an output-per-worker level that is more than 70 percent of the U.S. level. The average country with an investment share of output of less than 15 percent has an output-per-worker level that is less than 15 percent of the U.S. level. This is not entirely due to a one-way relationship from a high investment effort to a high balanced-growth capital-output ratio: Countries are poor not just because they invest little; to some degree they invest little because they are poor. But much of the relationship is due to investment's effect on prosperity. High saving and investment rates are a very powerful cause of relative wealth in the world today.\n",
    "\n",
    "Where is the United States on this graph? For these data it has an investment rate of 21 percent of GDP and an output- per-worker level equal (not surprisingly) to 100 percent of the U.S. level.\n",
    "Source: Authors' calculations from the Penn World Table data constructed by Alan Heston, Robert Summers, and Bettina Aten, www.nber.org.\n",
    "\n",
    "Increases or decreases in the rate of growth of the efficiency of labor g have effects on capital intensity that are in one sense just like changes in the rate of labor-force growth. An increase in the efficiency of labor growth rate g reduces the balanced-growth equilibrium capital-output ratio, just as an increase in labor-force growth did. And, as with a shift in labor-force growth, the level of output per worker after such a change in the labor efficiency growth rate begins the process of converging to its new balanced-growth path.\n",
    "\n",
    "You might think that this means that an increase in g lowers output per worker Y/L— it lowers the capital-output ratio, after all. But you would be wrong. The effect on the capital-output ratio KIY is only a small part of the story.\n",
    "\n",
    "Changes in the efficiency of labor change the growth rate of output per worker along the balanced-growth path. In the very long run, no matter how large the\n",
    "\n",
    "\n",
    "TABLE 4.2\n",
    "Effects of Increases In Parameters on the Solow Growth Model\n",
    "I\n",
    "The effect on .\n",
    "Level of Y/L Increases\n",
    "Decreases Decreases Increases\n",
    "l\n",
    "|\n",
    "j\n",
    "|\n",
    "r .... ■\n",
    "1 ! 1\n",
    "s saving- investment rate n labor-force\n",
    "When there is an increase in the parameter . . .\n",
    "Equilibrium\n",
    "K/Y\n",
    "Increases Decreases Decreases Decreases\n",
    "Level o f Y Increases\n",
    "Increases Decreases Increases\n",
    "Permanent Growth Rate of Y\n",
    "No change Increases No change Increases\n",
    "Permanent Growth Rate of Y/L\n",
    "No change\n",
    "No change j\n",
    "No change\n",
    "Increases j\n",
    "l\n",
    "| growth rate\n",
    "; 8 depreciation\n",
    "I rate\n",
    "• g efficiency of\n",
    "1 labor growth rate\n",
    "\n",
    "effects of a shift in efficiency of labor growth g on the economy’s capital-output ratio, these effects are overwhelmed by the direct effect of g on output per worker. It is the economy with a high rate of efficiency of labor force growth g that becomes by far the richest over time.\n",
    "\n",
    "This is our most important conclusion. The growth rate of the standard of living — of output per worker — can change if and only if the growth rate of labor efficiency changes. Other factors — a higher saving-investment rate, lower labor-force growth rate, or lower depreciation rate — can shift output per worker up as noted in Table 4.2, but they do not permanently change the growth rate of output per worker. Only a change in the growth rate of labor efficiency can permanently change the growth rate of output per worker. If we are to increase the rate of growth of the standard of living, we must pursue policies that increase the rate at which labor efficiency grows — policies that enhance technological or organizational progress. Chapter 5 looks at centuries of eco  nomic history for examples of just those all-important changes in the growth rate of labor efficiency.\n",
    "\n",
    "----\n",
    "\n",
    "&nbsp;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 4.4.5 RECAP USING THE SOLOW GROWTH MODEL\n",
    "\n",
    "**Changes in the economic environment and in economic policy can have pow  erful effects on the economy’s long-run economic growth path. In the Solow model we analyze the effects of such changes by looking at their effects on cap  ital intensity and on the efficiency of labor. Shifts in the growth rate of the effi  ciency of labor have the most powerful effects: They change the long-run growth rate of the economy. Shifts in other parameters affect the economy’s capital intensity; affect what multiple of the efficiency of labor the balanced-growth path of output per worker follows, and make the economy richer or poorer as it con  verges to a new, different balanced-growth path. But only a change in the growth rate of labor efficiency can produce a permanent change in the growth rate of output per worker.**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$ \\frac{d(ln(Y))}{dt} = \\alpha\\left(\\frac{d(ln(K))}{dt}\\right) + ( 1- \\alpha)\\left(\\frac{d(ln(L))}{dt}\\right) + (1 - \\alpha)\\left(\\frac{d(ln(E))}{dt}\\right)  $\n",
    "\n",
    "$ \\frac{d(ln(K))}{dt} - \\frac{d(ln(Y))}{dt} = (1 - \\alpha)\\left(\\frac{d(ln(K))}{dt}\\right) - (1 - \\alpha)\\left(\\frac{d(ln(E))}{dt}\\right) - (1 - \\alpha)\\left(\\frac{d(ln(L))}{dt}\\right)  $\n",
    "\n",
    "$ \\frac{d(ln(K))}{dt} - \\frac{d(ln(Y))}{dt} = (1 - \\alpha)\\left(s\\left(\\frac{Y}{K}\\right) - \\delta\\right) - (1 - \\alpha)g - (1 - \\alpha){n}  $\n",
    "\n",
    "$ \\frac{d(ln(K/Y))}{dt} = (1 - \\alpha)\\left(s\\left(\\frac{Y}{K}\\right) - \\delta\\right) - (1 - \\alpha)g - (1 - \\alpha){n}  $\n",
    "\n",
    "$ \\left(\\frac{Y}{K}\\right)\\left(\\frac{d(K/Y)}{dt}\\right) = (1 - \\alpha)\\left(s\\left(\\frac{Y}{K}\\right) - \\delta\\right) - (1 - \\alpha)g - (1 - \\alpha){n}  $\n",
    "\n",
    "$ \\frac{d(K/Y)}{dt} = (1 - \\alpha)s - (1 - \\alpha)(\\delta + g + n)\\left(\\frac{K}{Y}\\right)  $\n",
    "\n",
    "$ \\frac{d(K/Y)}{dt} = - (1 - \\alpha)(\\delta + g + n)\\left(\\frac{K}{Y} - \\frac{s}{\\delta + g + n}\\right)  $\n",
    "\n",
    "$ \\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",
    "The 1/e time of convergence is: $ \\frac{1}{(1 - \\alpha)(\\delta + g + n)}  $\n",
    "\n",
    "The halving time of convergence is: $ \\frac{ln(2)}{(1 - \\alpha)(\\delta + g + n)}  $"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The requirement:\n",
    "\n",
    "(4) &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;\n",
    "$\\frac{K_{t}}{Y_{t}} =\\frac{s}{n+g+\\delta}$\n",
    "\n",
    "What is that equilibrium value of output per worker? We can move back and forth between the capital-per-worker form of the production function that we have already seen:\n",
    "\n",
    "(1) &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;\n",
    "$\\frac{Y _{t}}{L _{t}} = \\left(\\frac{K _{t}}{L _{t}}\\right)^{\\alpha} \\left(L_{t}\\right) \\left(E_{t}\\right)^{1 - \\alpha}$\n",
    "\n",
    "to the capital form that we have already seen obtained by multiplying all the terms in (1) by the labor force:\n",
    "\n",
    "(2) &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;\n",
    "$Y _{t} = {\\left({K _{t}}\\right)^{\\alpha}}{\\left(L_{t}E_{t}\\right)^{1-\\alpha}}$\n",
    "\n",
    "and to a still different (but more convenient) form: the capital-output ratio form of the production function:\n",
    "\n",
    "(5) &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;\n",
    "$\\frac{Y _{t}}{L _{t}} = \\left(\\frac{K _{t}}{Y _{t}}\\right)^{\\frac{\\alpha}{(1-\\alpha)}} \\left(E_{t}\\right)  $\n",
    "\n",
    "All forms of the production function contain the same information. But for our purposes the capital-output ratio form is more convenient to work with, so work with it we shall.\n",
    "\n",
    "What, then, is the equilibrium value of output per worker? We know the value of the diminishing-returns-to-investment parameter a. We know the value of the efficiency of labor E. And we know that in equilibrium K/Y will be equal to s/(n + g + &delta;). So just substitute s/(n + g + &delta;) in for K/Y where it appears, and calculate:\n",
    "\n",
    "(6)  &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;\n",
    "$\\frac{Y _{t}}{L _{t}} = \\left(\\frac{s}{(n + g + \\delta)}\\right)^{\\frac{\\alpha}{(1-\\alpha)}} \\left(E_{t}\\right)  $\n",
    "\n",
    "----\n",
    "\n",
    "&nbsp;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
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   "source": [
    "sgm_200yr_run(L0 = 1000, E0 = 1, K0 = 1000, g = 0.02, n = 0.01,\n",
    "    s = 0.15)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "&nbsp;\n",
    "\n",
    "----"
   ]
  }
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