{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "**2019-07-25**: Playing with Sargent and Stachurowski's QuantEcon: \n", "\n", " \n", "\n", "----" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Solow Growth Model\n", "\n", "Factor accumulation:\n", "\n", ">(1) $ \\frac{dL_t}{dt} = nL_t $\n", "\n", ">(2) $ \\frac{dE_t}{dt} = gE_t $\n", "\n", ">(3) $ \\frac{dK_t}{dt} = sY_t - δK_t $\n", "\n", "Production function:\n", "\n", ">(4) $ Y_t = K_t^α(L_tE_t)^{(1-α)} $\n", "\n", "Definition of capital-output ratio:\n", "\n", ">(5) $ κ_t = \\frac{K_t}{Y_t} $" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Solving for the rate of change of the capital-output ratio\n", "\n", ">(6) $ Y_t = κ_t^{(α/(1-α))}(L_tE_t) $\n", "\n", ">(7) $ \\frac{1}{K_t}\\frac{dK_t}{dt} = \\frac{s}{κ_t} - δ $\n", "\n", ">(8) $ \\frac{1}{Y_t}\\frac{dY_t}{dt} = α \\left( \\frac{1}{K_t}\\frac{dK_t}{dt} \\right) + (1-α)(n+g) $\n", "\n", ">(9) $ \\frac{1}{κ_t}\\frac{dκ_t}{dt} = \\frac{1}{K_t}\\frac{dK_t}{dt} - α \\left( \\frac{1}{K_t}\\frac{dK_t}{dt} \\right) - (1-α)(n+g) $\n", "\n", ">(10) $ \\frac{1}{κ_t}\\frac{dκ_t}{dt} = (1- α) \\left( \\frac{1}{K_t}\\frac{dK_t}{dt} \\right) - (1-α)(n+g) $\n", "\n", ">(11) $ \\frac{1}{κ_t}\\frac{dκ_t}{dt} = (1- α) \\left( \\frac{s}{κ_t} - δ \\right) - (1-α)(n+g) $\n", "\n", ">(12) $ \\frac{dκ_t}{dt} = (1- α) \\left( s - (n+g+δ)κ_t \\right) $\n", "\n", "Integrating:\n", "\n", ">(13) $ κ_t = \\frac{s}{n+g+δ} + e^{-(1-α)(n+g+δ)t} \\left[ κ_0 - \\frac{s}{n+g+δ)} \\right] $" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Discretizing for a difference model:\n", "\n", ">(14) $ κ_{t+1} = κ_t + \\left[ \\frac{1 - e^{-(1-α)(n+g+δ)}}{n+g+δ} \\right] \\left( s - (n+g+δ)κ_t \\right) $\n", "\n", ">(15) $ 1 - α' = (1 - α) \\left[ 1 - \\frac{(1-α)(n+g+δ)}{2} + \\frac{(1-α)^2(n+g+δ)^2}{6} - ... \\right] $\n", "\n", ">(16) $ κ_{t+1} = κ_t + (1- α') \\left( s - (n+g+δ)κ_t \\right) $" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "class SolowKappa:\n", "\n", "# Implements the Solow growth model calculation of the\n", "# capital-output ratio κ and other model variables\n", "# using the update rule:\n", "#\n", "# κ_{t+1} = κ_t + (1- α) ( s - (n+g+δ)κ_t )\n", "\n", " def __init__(self, n=0.01, # population growth rate\n", " s=0.20, # savings rate\n", " δ=0.03, # depreciation rate\n", " α=1/3, # share of labor\n", " g=0.01, # productivity\n", " κ=1.0, # current capital-labor ratio\n", " E=1.0, # current efficiency of labor\n", " L=1.0): # current labor force \n", "\n", " self.n, self.s, self.δ, self.α, self.g = n, s, δ, α, g\n", " self.κ, self.E, self.L = κ, E, L\n", " self.Y = self.κ**(self.α/(1-self.α))*self.E*self.L\n", " self.K = self.κ * self.Y\n", " self.y = self.Y/self.L\n", "\n", " def calc_next_period_kappa(self):\n", " \"Calculate the next period capital-output ratio.\"\n", " # Unpack parameters (get rid of self to simplify notation)\n", " n, s, δ, α, g = self.n, self.s, self.δ, self.α, self.g\n", " # Apply the update rule\n", " return (self.κ + (1 - α)*( s - (n+g+δ)*self.κ ))\n", "\n", " def calc_next_period_E(self):\n", " \"Calculate the next period efficiency of labor.\"\n", " # Unpack parameters (get rid of self to simplify notation)\n", " n, s, δ, α, g = self.n, self.s, self.δ, self.α, self.g\n", " # Apply the update rule\n", " return (self.E * np.exp(g))\n", "\n", " def calc_next_period_L(self):\n", " \"Calculate the next period labor force.\"\n", " # Unpack parameters (get rid of self to simplify notation)\n", " n, s, δ, α, g = self.n, self.s, self.δ, self.α, self.g\n", " # Apply the update rule\n", " return (self.L*np.exp(n))\n", "\n", " def update(self):\n", " \"Update the current state.\"\n", " self.κ = self.calc_next_period_kappa()\n", " self.E = self.calc_next_period_E()\n", " self.L = self.calc_next_period_L()\n", " self.Y = self.κ**(self.α/(1-self.α))*self.E*self.L\n", " self.K = self.κ * self.Y\n", " self.y = self.Y/self.L\n", "\n", " def steady_state(self):\n", " \"Compute the steady state value of the capital-output ratio.\"\n", " # Unpack parameters (get rid of self to simplify notation)\n", " n, s, δ, α, g = self.n, self.s, self.δ, self.α, self.g\n", " # Compute and return steady state\n", " return (s /(n + g + δ))\n", "\n", " def generate_kappa_sequence(self, t):\n", " \"Generate and return time series of length t for the model.\"\n", " path = []\n", " for i in range(t):\n", " path.append(self.κ)\n", " self.update()\n", " return path\n", " \n", " def generate_E_sequence(self, t):\n", " \"Generate and return a time series of length t for the efficiency of labor.\"\n", " path = []\n", " for i in range(t):\n", " path.append(self.E)\n", " self.update()\n", " return path\n", " \n", " def generate_L_sequence(self, t):\n", " \"Generate and return a time series of length t for the labor force.\"\n", " path = []\n", " for i in range(t):\n", " path.append(self.L)\n", " self.update()\n", " return path\n", " \n", " def generate_K_sequence(self, t):\n", " \"Generate and return a time series of length t for the capital stock.\"\n", " path = []\n", " for i in range(t):\n", " path.append(self.K)\n", " self.update()\n", " return path\n", "\n", " def generate_Y_sequence(self, t):\n", " \"Generate and return a time series of length t for the capital stock.\"\n", " path = []\n", " for i in range(t):\n", " path.append(self.Y)\n", " self.update()\n", " return path\n", " \n", " def generate_y_sequence(self, t):\n", " \"Generate and return a time series of length t for the capital stock.\"\n", " path = []\n", " for i in range(t):\n", " path.append(self.y)\n", " self.update()\n", " return path" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "\n", "T = 60\n", "\n", "s1 = SolowKappa()\n", "s2 = SolowKappa(κ=8.0)\n", "\n", "fig, ax = plt.subplots(figsize=(9, 6))\n", "\n", "# Plot the common steady-state value of the capital-output ratio\n", "ax.plot([s1.steady_state()]*T, 'k-', label='steady state')\n", "\n", "# Plot time series for each economy\n", "for s in s1, s2:\n", " lb = f'capital-output series from initial state κ = {s.κ}'\n", " ax.plot(s.generate_kappa_sequence(T), 'o-', lw=2, alpha=0.5, label=lb)\n", " \n", "\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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Pnj154oknuOCCCygpKdnt0v65555LXV1ds7dQAPr06cODDz7IlClTKCkpYdy4cZx33nmtfj5N9+5Hjx7N+eefn7491KRbt26cdNJJXH/99em6lXvuuYelS5dSXFzMHXfcwe9///sWz/POO+8wZswYxo4dy0svvcRPfvITevbsyaxZs9LtqBMmTGi2AHFXPp+POXPmcPvtt1NSUsKYMWNYsGABqVSKyy67jNGjRzN27FhuueUWCgsLW/06QOOtgKeffpri4mL+8Ic/8Ktf/eqAHn8orrzySq6//vp0gWiTkpISxo4dy8iRI7n66qvTt5z2pba2lunTp1NcXMykSZPSLb4XX3wxDz/8MGPHjmXNmjXcd999nHDCCZx++ukcc8wx6cfvud/s2bN56qmnKCkpYeTIkeli5+Z4vV6efPJJrr32WhoaGg7p9bjtttvo168fDQ0N9OvXj3vuuQdorLtpqukZOXIk3/3udxkxYgTTpk3j17/+tTpRpEta88kC1r89k4acgTguL9HQkVjjwUSqccVr6H3ChYdlHKa5y9577dR4G+XP+ygQ/QvwkLX2vZ2fzwPusNbut/S7tLTU7jkPwOrVqzn22GNbPfiubunSpdxyyy3N/rYoIi3T9xzprKzj8OmCP1P7+XwAco46kZxufShf+ifctZtI5fWj9wkXZrRewxizzFrbbNdBJiYP2ABMBd4zxvQGhgNrM3Bc2Y+HHnqI3/72t7td5hYRka5r7cqFlC2agzu8AXcySsJXCHlH0GPM2Rw9rvEW+lElJ2VlbK1pfX0WmAwUGWM2ATMAL4C19nHgPmCWMeYfgAFut9buPeGDZNQdd9zBHXfcke1hiIhIO5BubfWE8MaqCSZ24IlspG7EN9NBI5ta041ySQvbtwBnZGxEIiIickDKFs3B5fYRqt+E24kR9+RREzwCZ8MyYL8/xg+LDj1duYiIiICv6jN88TAuHBKeEJFuw7HGc9haW1uisCEiItKBffnRfPzxGjxOlIbAEcQKh4LLjStSfdhaW1uisCEiItIBOakUK+e/TP3ahZjcwYQaNhAP9sICrp2trUWTr8n2MIEOvBDb4aYl5nenJeYPnpaYPzRNiwsWFxczbdq0ZhcgtNZy0003MXToUIqLi1m+fHkWRirSdmLRBpb/9Unq1y4El5ueU64n95yHsMFueOq3YoOFFJ1xeNY9aY2OfWVj20pY/X9QsxEK+sOx58ARe00FkhFaYj5ztMS8lpg/WMlkkp/85CesWrWKoqIibrvtNh577LH0xF5N/va3v/Hll1/y5ZdfsmjRIm644QYWLVqUnUGLZEhTa6unZh3eeJhksA90G8jAiZfRd1DjEhjtJVzsqeNe2di2Ehb8D0SqIf/Ixj8X/E/j1w+BlpjfnZaY1xLz7WmJeWst1lrq6+ux1hIOh5td8+SVV17h8ssvxxjDhAkTqK6uPqDZgEXam6bWVnftZvyRCgKJarqFV5E/9KR00GjXmv7zHu6P4447zu5p1apV//xk3v+3/4+Z37T2/01p/LPpo+nz/T1uP1atWmWnT59u4/G4tdbaG264wf7+97+31lo7adIku2TJEmuttevWrbMjR45MP+6KK66wL774oo3FYnbw4MF28eLF1lpra2pqbCKRsG+//bY9++yzrbXW/tu//Zv9wx/+YK21dseOHXbYsGG2rq7OPv3003bw4MG2urraRiIRO2DAALthwwZbXl5u+/XrZ9euXWuttbaystJaa+0999xjf/nLX1prrf373/9uL7jggr2ez+bNm23//v1teXm5TSQSdsqUKfbll1/e6/nsqen57Ho+a6297LLL7Kuvvpp+/DXXXGOttfbdd99Nvx4//vGP7T333GOttfatt96yJSUl1lprZ8yYYceNG2cbGhr2Ot8jjzxi77//fmuttclk0obDYbt9+3Z7yimn2Lq6OmuttQ899JD9j//4D2uttQMHDrQ///nP9xpvPB63J554oi0vL7fWWvvcc8/Zq666ylprbZ8+fWw0Gk2/7nva8z2dNGmSveGGG9KfT58+3c6aNctaa+1TTz1lzzvvvPS5L7roIus4jp07d67Ny8uzn3zyiU2lUnbcuHH2o48+2utcu772QPo1vfXWW+19992Xfr0efvjhvfbf8/Om9yeZTNpJkybZjz/+uNnHNO179NFHW8dxdnsddn2/rbW2oqIi/fc777zTPvroo83ud+qpp9ovvvjCWmvtwoUL7ZQpU/Z6rjNmzLC/+MUv7DXXXGMfeOCBvbZba+28efNsSUnJXh8nnnhis/u/+OKLNi8vzx5xxBH2lFNOsclkcq99zj77bPvee+/tNtbm/r3v9j1HpB1b8OS/2sWPXGBXPnCyXXn/N+zyn0+zHz56hV3w5L9me2hpwFK7j5/5Hfc2SjQM/rzdv+bxN379IGmJ+b1piflGWmJ+d9laYj6RSPDb3/6Wjz76iCFDhnDjjTfy4IMPctddd+22n9US89KJWMchtP0jPMkoGEPEX0SicEjjD/F20trakvYbNqb8W8v7RKohWLj35615bDOslpjXEvMtnGPP5wRaYr4lmVxivul8Rx11FADf/e53eeihh/Z6rJaYl84iEY/xj7f+iD8Vw20ThHOPIpXbF4zBFW0/ra0t6bg1G8eeA9HqxoBhncY/o9WNXz9IWmJeS8zvi5aYbx9LzB955JGsWrUqXa/0xhtvNLuQ2rnnnsszzzyDtZaFCxdSUFCQvsol0lHU11bz0f/9htiWTwnnH03E3wPHk4O1zmFftfVQtd8rGy05YhScdOPu3Sjjvn9I3Si7LjHvOA5er5df//rXDBw4sFWP33WJ+UgkQjAY3Ksl82c/+xk333wzxcXFWGsZNGgQf/7zn/d5zF2XmHcch169eqUvtZ977rlcddVVrVpi3lrLWWedddBLzA8aNGifS8yHw2FmzpwJNBYEXnXVVRQXFxMKhVq9xPzDDz+M1+slNzeXZ555Zrcl5psuz99///0cffTR+zxO0xLzN910EzU1NSSTSW6++WaOPvpoLrvsMmpqarDWHvQS81dffTUPP/wwPXv25Omnnz6gxx+KpiXmg8Hgbldtdl1ifsiQIa1aYv68884jGo1ird1tiflrr72WRx99lDlz5qSXmB84cCCjR49OB4w995s9ezY33HAD999/P4lEgosvvpiSkpJmz920xPxll13G8uXLCYVCB/Va9O3blxkzZjBx4kS8Xi8DBw5k1qxZQGO7MDR28px11ln89a9/ZejQoYRCocP6fokcrPRCarWbSPkLwQL+XEywgGHTb6Zm+6bGbpSdq7YWTb6m3Xaf7KlVS8y3BS0xf+i0xLzIodH3HGkvmrpNHF8B1klSGF6N34lS1vc0Si6+m1BuQbaH2KK2XmJeskBLzIuIdB5li+ZgfPm4kvXk1G/EMV7CvjwsTocIGi3puDUbXdwdd9zB+vXrD2vtgIiItA13eAOehu3k1DcWNteH+tHQYxSeus4xP4yubIiIiGRRfW013niYYLySpDtIfd4QnFBRu1pI7VC1uysb2aohEZGuRd9rpD2o2LaBf7z6KLFAL1w41If6kQp063DdJi1pV2EjEAhQWVmpbwIi0qastVRWVhIIBLI9FOnC1n+2nC9f+w02GsbVbxzOmT/HyevbLhdSO1Tt6jZKv3792LRpU7qHXkSkrQQCAfr16xyXqKXjWLtyIWULXyRU8TGeVBSTOwTfMadTfOpFeLw+OP60bA+xTbSrsOH1etPTcouIiHQma1cupPL1hwnGavCkIrhtglDDZnL6DG0MGp1Yu7qNIiIi0lmVfTCbQHQ7XieKdbmp7jaShrzBlC95KdtDa3Pt6sqGiIhIZ1S+eR09yj8kYfyk3H4aCodjfTlYJ9VhFlM7FAobIiIibWjtykWULfkT+a4AKeOhvsdocHsBcMVqO0176/7oNoqIiEgbcFIp/jH/ZcoWvQhOivDgs4gGijDxeqyT6nTtrfujKxsiIiIZkl5MrWY97mQDCX8PyDuCHmPO5uhxk9LbO+JiaodCYUNERCQDmhZTc7kD+GNV+JNh3NGtNIxqDBoAQ0ZN6BLhYk+6jSIiIpIBZYvmAIZQ/QY8ToyYt5CqgpE0fL0k20PLOl3ZEBEROUTWcQhWfIw30QDGEPMWEus2FIvpEt0mLVHYEBEROQTJRJx/vP0CvmQEt41TGxpMMr8/GNOpFlM7FC3eRjHGzDTGlBtjVu5j+63GmBU7P1YaY1LGmO6ZH6qIiEj7UhfewfJXHiO6cQXhvGFEfD1I+fKx1ulS3SYtac2VjVnAY8AzzW201j4MPAxgjDkHuMVaW5WpAYqIiLQX6W6T2k2kfPmAAX8eJljA0LNvIlyxpUt2m7SkxbBhrZ1vjBnUyuNdAjx7KAMSERFpj5q6TYyvAAcP3SpX4LMxth15BiXn3kQot4CiIwYoXDQjYzUbxpgQMA34caaOKSIi0l6ULZqD8eXjju0gFC0j5fJR4+4ONkUotyDbw2vXMlkgeg7wwf5uoRhjrgOuAxgwYEAGTy0iItK2PDXr8cRr8aXqwBjqcgaSCvXEU7cl20Nr9zI5z8bFtHALxVr7hLW21Fpb2rNnzwyeWkREpO1UbNuAP1ZJMFGJ4/JQW3gMTu4RXWZtk0OVkbBhjCkAJgGvZOJ4IiIi7cW6VUv48rXf0BDqB7hoyBmA481Vt8kBaPE2ijHmWWAyUGSM2QTMALwA1trHd+72LeB1a219G41TRESkze3abZLM7Ysr/0hs7VYA/MeegbvndTjL56rb5AAZa21WTlxaWmqXLl2alXOLiIjsqanbxPEV4HgD5FR+Sl6yivLCMXQ76QqOHjcZ49IqH/tijFlmrS1tbptmEBUREaGp26QA3F5yd6zGbRPEXEGs28vw0lOzPbwOTWFDREQEcNduwnH5yQ1/gbEOCU+Ihvyj8MR2ZHtoHZ6uB4mISJfnpFIYJ0VhzSqMdYj6uhPpPhJXKqFukwxQ2BARkS4t2lDH8r88QcodxGvjRHzdiRUOwcRq1W2SIbqNIiIiXVZl2Sa+nPd7bMMOTLeB1I06m8TXS9RtkmEKGyIi0qU0tbf6K1fhS9ZBziBcfYs55rQrKehWBFyU7SF2OgobIiLSZaxduZDK1/8Tf6Ief6IGt42TV78W79BrdwYNaQuq2RARkS6jbMGz+KMV+JNhMC7CecOozR9O5XJNgN2WdGVDRES6hIot6+levoAkPhy3l/r8YdhAAdZJ4andlO3hdWoKGyIi0umt+WQB5cteId/4cYyLuu6jweMH0GJqh4HChoiIdFqpZJKV8/9Ew7rFAIQHfRNP2XJMIoLj8uDa2d5aNPmaLI+0c1PYEBGRTqWp28RTsw5Pop5YoBfk96Fo7HSGjTnln9vV3nrYKGyIiEin0bSYmtu48Ucq8DkN5MS3Ex3zLYaNOQWAIaMmKFwcZupGERGRTqNs4Yu4nDg5DZtxkyLiK6KqYBT1X32Q7aF1abqyISIinUI8FiWvfDHGccAYIoHeJAoGYq1Vt0mWKWyIiEiHV12xjc/f+j251uIiSTj/GJxQTwBc0Wp1m2SZwoaIiHRoG75YweYPX4BknHCPMfhqN2CNF+uk1G3STihsiIhIh9LUTeIObwRrcdwByO2F74hjGDX1e2z+6hN1m7QzChsiItJhNHWbuLwhPLEwoUQFXhunsv81jPvm1RiXS90m7ZDChoiIdBhli+bgdnkI1m3E7cRJeHII+4eQ2rEe41KDZXulsCEiIh2CdRwCFf/Am6jHGEh4cogUHo11edRt0s4pbIiISLuXiMf4x9sv4E/W47Yx6oIDSBQMBOPCFVG3SXunsCEiIu1adcU2Pp/3DE5tObG8YQQiW0j6u2GtxRWtVrdJB6CwISIi7Uq626R2E447iMUFoW6YUHeGTb+Zmu2b1G3SwShsiIhIu9HUbWJ8+ZhUgsLaNfhsnLKCcxn7rZvxB0L06N1P4aKDUdgQEZF2o2zRHFyeEP76LfiStaRcAap8fSDegD8Qyvbw5CApbIiISLvhq/ocbzyMmxSOy0t9/lAcXy6eus3ZHpocAoUNERHJOus4fLbkDQLxHbidGBF/EdHCYeD2qdukE2hxBhRjzExjTLkxZja9VegAACAASURBVOV+9plsjFlhjPnUGPNuZocoIiKdWbShjmV/fZLqlW9QmzuEhCeHWKgv1rgxkcZuk94nXJjtYcohaM2VjVnAY8AzzW00xhQCvwGmWWs3GGN6ZW54IiLSGTV1nPh2fIk3UUsy1A8K+3PkWf9KIhahTt0mnUqLYcNaO98YM2g/u3wP+JO1dsPO/cszMzQREemMmjpOvE4Cf7QSj43hC3+OM/579B9WAqBw0clkYiL5o4Fuxph3jDHLjDGXZ+CYIiLSSW378Hl88R0EYxUYA3WhflR3G0nN6jezPTRpI5koEPUAxwFTgSDwoTFmobX2iz13NMZcB1wHMGDAgAycWkREOpKq8s10L/uAFF6sy0197iCcnF5YJ6X1TTqxTISNTUCFtbYeqDfGzAdKgL3ChrX2CeAJgNLSUpuBc4uISAex5h8LKV82l3zjwwJ13UZifTkAuGK16jjpxDJxG+UV4BRjjMcYEwJOAFZn4LgiItIJJOIxVrzxR8oXz4FUkvDAM4gEe0MqgXVS6jjpAlq8smGMeRaYDBQZYzYBMwAvgLX2cWvtamPMa8AngAM8aa3dZ5usiIh0fk3dJt7qtXgStUSDfSC/Dz3HncNRo09i3arFWt+kCzHWZuduRmlpqV26dGlWzi0iIm0nvb6JdQhGy/E4UVxYYpPvZvQp52Z7eNJGjDHLrLWlzW3LxG0UERGRtG0Ln8cbryUULcNgqQ8cQVXhKOq+mJ/toUmWaLpyERHJmJrKMrpvW0AKD7hc1If6k8rtg7WOuk26MIUNERHJiPWrl7Fl8UvkGy9gqS0cgfXnAeCKqtukK1PYEBGRA9ZUAOqu3UQytw8mtzfUVwAQ7jcFT8Wn4KSwTgpXrBZXvIaiyddkedSSLQobIiJyQNIFoL4CUv5u5JUvI2dLDeWFYyk86fsMHzdF3SayG4UNERE5IGWL5mB8BRibJGfHl7isQ8Sdg/X4OaZ0KtC4tonChTRR2BARkQPiDm/AlUwQjG8HIOYrJJo/CE+kIssjk/ZKYUNERFqtprIMX3wHgXg1KXcg3W3iitaoAFT2SWFDRERaZd2qJWxb8jIm0IdQfAfhUD+SOb1xRWtUACr7pbAhIiLNSnechDdgUglS3jzI7YV32CTofTWpFX9WAai0isKGiIjspanjxOX24Y9W4k+G8TQk2DH4esZNuwrjcsFxk7M9TOkgFDZERGQvZQtfxGNThOo3YqxDzJtPTaA3zvavGoOGyAFQ2BARkd3Eog3klS/GOA4YQ9TXnXjhECxGU47LQVHYEBGRtIot6/nq3dnkWYvLJgnnH40T6gXG4IpUq+NEDorChoiIYB2HL5a/Q9U//g5OinDP4/DVrMO6/Fjr4IpqynE5eAobIiJdVFO3iadmPa5UhISvO+T2IjS4lBEnf4uNX3ykKcclIxQ2RES6oKZuE7dx449W4EvV4Y5spnb4LZScejGgKcclcxQ2RES6oG0LX8CfjBBI1ACWqK87sWAvnM2fZHto0gkpbIiIdDG1NVUUli3EWgPG0BA8gmT+AKy16jaRNqGwISLShWz4YgWbF75EPi5cpKgpHIENdAPAFVW3ibQNhQ0RkU4qPd147SaSuX0wub2hvnFl1pq+J+Ot+hyswTopXDF1m0jbUdgQEemEmgpAja+ApK+Q/LJlhLbUUF44lsIJlzK8dCrrVi1Wt4kcFgobIiKdUNmiORhfPsaJkR/+AoNDxJ2L9fg55vjTAXWbyOGjsCEi0gm5a9bjTkYIJKoBiPq7E8sbiCeyPcsjk65IYUNEpJPZtuFLArFKfMlaku4g9bmDcHJ6abpxyRqFDRGRTsJJpVi98DXCn7+DCfXDF/6c+pyBpII9cEWqVQAqWaOwISLSQe3abZIKFmHdQYyxYAw5Y7+NJ78IZ9nLKgCVrFPYEBHpgHbtNnFcPgq3L8HvRCkrmsCAaTdz5JBjARg65htZHqkIuFrawRgz0xhTboxZuY/tk40xNcaYFTs/7s78MEVEZFdli+bgeHPxRCvIq12LY7zUeorAE0gHDZH2ojVXNmYBjwHP7Gef96y10zMyIhERaZFvx5d44rV4bByMoS5nAKlQTzz127I9NJG9tBg2rLXzjTGD2n4oIiLSEieV4vOlb+KPVeFxosS8hTQUDAVfjrpNpN3KVM3GicaYj4EtwE+ttZ9m6LgiIrJTbU0Vq+fNJlW1HpM7mJz69URy+2M9AXWbSLuWibCxHBhora0zxpwFzAWGNbejMeY64DqAAQMGZODUIiKdW1PHib9yFZ5kPU7OQEz3QRx59q0kovXUabpx6QCMtbblnRpvo/zZWjuqFft+DZRaayv2t19paaldunRp60YpItIFrV25kMrXH8Ybr8WbrMdt4zguD67T7+OY40/L9vBEdmOMWWatLW1uW4vdKK04+BHGGLPz78fvPGbloR5XRKSrK5v/NKHINrypBnC5COcNI1wwgh3/eC3bQxM5IC3eRjHGPAtMBoqMMZuAGYAXwFr7OHAhcIMxJglEgIttay6XiIhIs5xUis8Wv07PysXETIikJ0ikYCjWl4N1UnhqN2V7iCIHpDXdKJe0sP0xGltjRUTkENXsqOCLt2eT3LGRfFcOMU8usR7HgnED4IrVquNEOhzNICoikkXpKcfDm3DcPqzxQqgbxp9L8oQfk/zkJUy0FsefhytWq44T6ZAUNkREsiQ95bg3B3eijvy6Mnw2Tln+uZR8618J5uSx9ohBlKnjRDo4hQ0RkSwpWzQHNy5CdRtwO3GS7iC1/n6QaCCYkwfAkFETFC6kw1PYEBHJgmQiTk75MtypxunGE54cogVDcdw+PHWbsz08kYxS2BAROcwqtm1kzfxnyXUSuG2C2pxBJPP6gXFpynHplBQ2RETaULoAtHYTqdwjcfcYQqp6Azgpwt1L8NWtJ+XNx1qLK6opx6VzUtgQEWkj6QJQXwHJQHdyy5eTu+VNygtKCIyYxoiJF7DpyxUqAJVOT2FDRKSNlC2ag/EVYJwEeVVf4rIpYq4guN2MOf17gApApWtQ2BARaSOemvW4klECiR0AxLwFRPMH4YlqRQfpWhQ2RETawOa1q/HHKvAl60i6g9TnDMDJ6Y0rWqMCUOlyFDZERDIoEY+x6oNXaVi7CBPqjy/8OfU5A0iFeuKK1qgAVLokhQ0RkUOwW7eJrwBcXvAGwLjIP/4SvKECnKV/UgGodGkKGyIiB+mf3Sb54Dh0q/wIn41R1usUhp77U3r2HQTAUSUnZXegIlmmsCEicpDKFs3B5fYTqN+EN1lPyuWjxtMd3N500BARhQ0RkYNiHYdgxT/wJOoxBlIuLw35R+H48vDUb8328ETaFYUNEZEDVFtTxWfvPEcoWY/bxqgP9CGePxjcXk03LtIMhQ0RkRaki0DDm3DcPqzLC8FuhAuPJVC3kUSgF3bnuibqNhHZmyvbAxARac+aikBdDdtxJ+oorFlN76qlWLeP4ssfpuDse7DBQjz1W7HBQorO+Fd1m4jsQVc2RET2o2zRHNzWEqpbj8tJknSHqPX3wyRj5OQVarpxkVZQ2BAR2YdopJ7csiW4nCQYQ9yTR7TwKKzLi6duc7aHJ9JhKGyIiDRj89rVbPzwRfJsCpdNUpt7FKncPmCMikBFDpDChoh0ebvOAprM6YPJ7QkNVQCEex+Pr3oNjieEtQ6uaK2KQEUOkMKGiHRp/5wFtICUJ4eC8sUEt9ZRXjiW/OMv5pjxp/P16iWULZqjKcdFDpLChoh0aWWL5mB8ebjj1YQi2wBDg7sA6w0yYsI0ABWBihwihQ0R6dJ8O77AE6/HY2OAoSHYh0RuHzwNZdkemkinobAhIl1SMhHns4V/IxCrwu3EiHkLiOQfhfXnqQBUJMMUNkSky9m+5WvWvvc8Tt12TN4Qcuo3EMkdgOMNaRZQkTagsCEind4/pxvfCFgcdxCb0xMT6s6gM66noaaCOhWAirSZFsOGMWYmMB0ot9aO2s9+44GFwEXW2jmZG6KIyMFLTzfu8uKLVhJI1uC1ccp7XcJxF9yC1+eH/kMVLkTaUGvWRpkFTNvfDsYYN/Bz4O8ZGJOISMZsW/gC7mQDufUb8TpR4p58KvOOhfqKxqAhIm2uxSsb1tr5xphBLex2I/ASMD4DYxIRyYiKbRvovu0DUnjAGCKBXiTyB2IBT+2mbA9PpMs45JoNY8yRwLeAU2khbBhjrgOuAxgwYMChnlpEpFmpZJLPFv2d8Ofvkm+8gKW28BhsoBBA3SYih1kmCkT/G7jdWpsyxux3R2vtE8ATAKWlpTYD5xYR2W268ZS/EOsOYNyN395qh5yNe+tSsGCdFK6YphsXOdwyETZKged2Bo0i4CxjTNJaOzcDxxYR2a9/TjeeB6kU3SqW47Mxynp+g4HTbqLv4GPSYUTdJiLZcchhw1o7uOnvxphZwJ8VNETkcClbNAe3y0OgbiPeVISUy0eNuzvW46fv4GMATTcukm2taX19FpgMFBljNgEzAC+AtfbxNh2diMh+JBNxQuXL8aRiYAwpl5+G/ME4vjw89VuzPTwR2ak13SiXtPZg1torD2k0IiKtVL55Hevef4FcJ47bJqgL9ieRPwBcbhWAirQzmkFURDqEf84CugFjHVKeEDanF+HuY/DXfU3S3w0Lmm5cpB1S2BCRdq+pCNRtPPgjlfhTYbw2zvbel3Lct37Cxi8+UgGoSDumsCEi7d62D58nkKjFn6wDIOYtIBzoia0rx+vzqwBUpJ1T2BCRdm3Lus/oUfY+SXxgXDQEjyCZ3w9rNQuoSEehsCEi7VI0Us9nH7xKZP0y8o0fi4u6biOw/lwAXFEVgYp0FAobItIu7DoLqOMJYV1e8OeBy03dMd/BrH8PnKRmARXpgBQ2RCTr0svAe0O44/Xk167BZ+OU9Z3K8LNvoXuvI1m78gQVgYp0UAobIpJ1ZQtfxGNTBOvW43KSJN1B6rx9sED3XkcCmgVUpCNT2BCRrKqtqSK/fBE4Fowh7skjWjAE6/bhqduS7eGJSAYobIhIVljH4auP36fik9fIt+AiSTh3GE5ObzBGs4CKdCIKGyJyWOy+DHx3rC8HgwWg5siJ+CpWY90BrHVwRVUAKtKZKGyISJv75zLw+eBYCiuW4bdRynqcQJ9Tr2Pg8HGsW7VYBaAinZTChoi0ufQy8PUb8SYbcFxewu588AYZdGwpoAJQkc5MYUNE2lQiHiOnfDnu9DLwPhryBuP487UMvEgXobAhIm1my7rP2LDwJfJ2LgNfG+xPUsvAi3Q5ChsikhG7FYCGekNOEURrAAgXjcUXXkdKy8CLdEkKGyJyyHYtAHVcPgrLF+N3GigvHEv++IsYPv501n+2VAWgIl2UwoaIHLKyRXMwniC+hjL8iWoc46bOU4j1hhhx4jcBFYCKdGUKGyJySJxUimDFJ3iSEQwWa9zU5/QnFSrCU78t28MTkXZAYUNEDlrFto2sff9FcpINuJ0YDYEjiBUMArdfBaAikqawISKtli4CDW/AWEvKE8Lm9CTcbSSB2g3Eg72xxqMCUBHZjcKGiLRKUxGoGxf+aAX+VC1eG2d7z4sZe+m9bP7qExWAikizFDZEpFXKFvyRYLwabyoCQMxbSDhQhG2oxB8IqQBURPZJYUNE9ss6DmtXLqRH2QckTABcLhqCfUnmHYm1Fk/tpmwPUUTaOYUNEdmnHdu38uX7c0hVrSffFSRlvNR3HwHeIACuqIpARaRlChsikrZrASiA4w5hc4ow3iCRsT/A+eyvmGQMx+3DFdMy8CLSOgobIgLsUgBq3PgjlfhTYXw2TlmPCyk5/2aCOXmsHXCsikBF5IApbIgIAGULniUYr8GbagAg5i0g7OsB0RqCOXmAZgEVkYPjamkHY8xMY0y5MWblPrafZ4z5xBizwhiz1BhzcuaHKSJtxToOaz5ZQI+y9/Em68EYGkJ9aSgaTTKvL24VgIrIIWrNlY1ZwGPAM/vY/hbwqrXWGmOKgReAYzIzPBHJpN1WZs3rR/6xp1JftmaXAlAPDd1HYlUAKiIZ1OKVDWvtfKBqP9vrrLV256c5gN3XviKSPemVWSPVJEO98Veuxv/mv+NsWILxhYiM/QHRQE9IxrBOCrNzFtDeJ1yY7aGLSAeXkZoNY8y3gAeBXsDZ+9nvOuA6gAEDBmTi1CLSSmWL5mB8BWAsuVUrcadiJI0Xd6KW0d++jUAoVwWgItImMhI2rLUvAy8bYyYC9wGn7WO/J4AnAEpLS3UFROQw8tSsw5WMEUhUA5B0BwkXDMedrCcQygVUACoibSOj3SjW2vnGmKOMMUXW2opMHltEDo6TSvHVx+8RiG7Hm4qQdAdpCPYlldcXEw2rJkNE2twhhw1jzFBgzc4C0XGAD6g85JGJyAHbswA0d+jJNJSvwQlvxeQMIr/uK+pzB5IKFuGKhjUpl4gcFi2GDWPMs8BkoMgYswmYAXgBrLWPA98GLjfGJIAIcNEuBaMicpikC0B9BSSDPQluX0lo8xvUF5RgiobS5+TLSCWi1KgmQ0QOsxbDhrX2kha2/xz4ecZGJCIHpbEANB/jJMir+gqXkyRh/LhTDZRceBs+fwBA4UJEDjvNICrSSXh3rMGdjOBL1QEQ9+QSzRuAOx5OBw0RkWxQ2BDp4OKxKF8s/juBWAUeJ0rCk0NDTn+cUC9MtEYFoCKSdQobIh3MrkWgjjuIdfvBn4vJHUxu/ToacgeSCnTHFa1RAaiItAsKGyIdSFMRqMsdwBMLE4qvwWfjbOszhSHfnkF99XZqVQAqIu2MwoZIB7Jt4fP4kxEC0W1gLUl3iDpfXzAuevc7CvodpXAhIu2OwoZIB7Hpq5X02PY+SXxgDFFfd+IFA7HGg6duS7aHJyKyTwobIu1cuLqSLz94mfi2z8g3fixQV3gsNlAAgCuilVlFpH1T2BBpZ9IFoOGNgCHlDkJOD4zbR/2Ii2HdO2At1knhitWqCFRE2j2FDZF2pKkA1I0Lf7QCfyqMz8YpKzyfkef9hLyC7qxdWaqVWUWkQ1HYEGlHyj74X4KxHXidKAAxbwFhXw9I1JNX0B3Qyqwi0vEobIi0A8lEnC+WzaOofAFxE8S63OmVWa21eGo3ZXuIIiIHTWFD5DDbc2XW4IDjiFaswzZUke8KkXAFiHQ/BjyNU4y7oioAFZGOzZXtAYh0JemVWSPVJP3dCJZ/RP6HD0H5Z7hyi0iccCNxfzdMIop1UphINa54Db1PuDDbQxcROWi6siFyGDWuzJqHK1FLXngLWEvMFcDYBKXf/iluj4e1RwxUAaiIdCoKGyKHiXUc/JWrcScb8NgEAFFfd2J5/fBEq3B7Gv87qgBURDobhQ2Rw2DH9q2s+XAuwUQNbidGzFtIJG8QNlCgSblEpNNT2BBpA+ki0Jr1GCwpTy42p4hEwXBCdeuJ5A7A8eXi2lmToUm5RKQzU9gQybCmIlCPTeGPVuFz6vHaOOU9vkPJRT9j29eraVBNhoh0IQobIhlWNn8WudFyXDYFNNZlhP3dIVpNKLdANRki0uUobIhkSENdDV8s/Cs9KxcRMyEct5eGnP44oV5Y62hiLhHpshQ2RA7CrhNzJXP74u05lGT1ZkjG8LhySXhyiXY/GlxeAFzRWhWBikiXpUm9RA7QrhNzpdw55JctocfH/w9TvRFP0RDM5NtJeHMxsXpNzCUigq5siBywskVzcHkCeCNlBOI7AIi4c8HlpvSc6zEuF2sLijQxl4jITgobIgcgHosSKl+OOxXHGLDGRSTYh0TOEXgayjCuxouFKgIVEfknhQ2RVrCOw9erl1C24jXynDhuG6Pe34d4/gDwBDQxl4jIfihsiDRjt5VZfQXgywVjAKjpNZ5A9Zckgr2wLq8m5hIRaYHChsgemgpAXZ4QrkSE/Nq1+GyMsh4n0PPkKzhq9ImsW7VYNRkiIq2ksCGyh20Ln8efiuKPlmNsipTbT7W7CHwhhpZ8A1BNhojIgWix9dUYM9MYU26MWbmP7ZcaYz7Z+bHAGFOS+WGKtD3rOKz/bDk9tr1PIFaFsSli3gJquxcT7T4cd/22bA9RRKRDas2VjVnAY8Az+9i+Dphkrd1hjPkm8ARwQmaGJ9I2dqvJyOtH7tETiVSsJ1W1nnzjxwJ1hcOxgW4AKgAVETkELYYNa+18Y8yg/WxfsMunCwF9R5Z2LT0pl6+AZKCI0PZPCG1+g/qCEug2kIbRl8JX88AarJPCFatVAaiIyCHIdM3GD4C/7WujMeY64DqAAQMGZPjUIq1TtmgOxpeHK1lPbvhLjE2RMH7cyXpGX3g7gVAua1eOVQGoiEiGZCxsGGOm0Bg2Tt7XPtbaJ2i8zUJpaanN1LlFWss6Dv7KVbiTUTw2DkDMW0Astx/ueA2BUC6gAlARkUzKSNgwxhQDTwLftNZWZuKYIplWsWU9axe9Sk4ijNuJEfMWEMkdgA12b1znRDUZIiJt4pDDhjFmAPAn4PvW2i8OfUgimdFUBOqpWQdOipQvH5vTi3DhsYRq1xHJHYDjL9CkXCIibazFsGGMeRaYDBQZYzYBMwAvgLX2ceBuoAfwG9M4w2LSWlvaVgMWaY21KxdS+frD+FIx/PEaPE4Ub8M6ynt/j7GX3MOWtStpUE2GiMhh0ZpulEta2H4NoF8Jpd2wjkP5vN+SH9mK3TmVTEOgNwlfIdRtJxDKVU2GiMhhpBlEpVPZtvErNiz+P3rWfEzU5JDwBInmDcQGCrFOCk/tpmwPUUSky1HYkA5rt4m5AkUQ6gGJegDqPYXEfN1IFgwG03h1wxWrVRGoiEgWtDhduUh7lJ6Yq6ECk0rQbftien89F+oryTtmEoEz78UaDyYaxjopzM4i0N4nXJjtoYuIdDm6siEd0raFL+Bz4gTrtuNykqRcPsLuAvDnMuob5wCw1ufTxFwiIu2AwoZ0KNZx2PDlJ/TY9h5JfGAMcU8usbyBON4Qnvqt6X1VBCoi0j4obEi7tddiaUNPJlK1Mb1YGlhq84dhg93BGC2WJiLSTqlmQ9qldE1GpJqkvzvB7SvIeXcGzoYlGG+QhlHfoz7YB4wbax3VZIiItGO6siHtUtmiORhvDu54DXnRbWAtcePHnWpg9HfuIBDMYe3KcarJEBHpABQ2pN1JJZMEKz7BnYzhIgVA1NedWO6ReGI7CARzANVkiIh0FAob0m5Yx2HD5x+xdcVr5CUbcDsxIr4exPIGYP35qskQEemgFDYka3YrAPXlgy8PGtfXIdxjDIGaNcRy+uJ4c7RYmohIB6awIVnRVADqcgdwx+vIr12Dz8Yp63ECPU68lKOKv8H6z5aqJkNEpBNQ2JCsKFvwRwLxWnypbYAl6Q7S4OkFvhBHj5sEqCZDRKSzUNiQwyoei/LV8rcpKnufuAmCMUT8RSTy+mNdnt0m5RIRkc5BYUPaVLouI7wR6/LieHPAn0e+K0TS+GjoNhx8jd0lKgAVEemcNKmXtJmmugx39df4oxUUhD+nd8VCrJMiOeEmYoEemFRCC6WJiHRyurIhbaZs/kxyouW4beNcGXFPPrW+AoxxUTL1u6ztPUAFoCIiXYDChmTcju1bWbv4L/SqXEzU5OC4vUSCfUnlHoG1Fk/dZkAFoCIiXYXChhyS3ebKCPWEnCMgVgPWIeLOJ+7JI9ZtKLi8ALiiqssQEelqVLMhBy29WFpDBSaVpLBsMb3XvICpKyM4qBT3aT8j6QlhYvWqyxAR6cJ0ZUMO2raFz+NLxQjGtuNykvz/7d1/bNz1fcfx5/t7v3w+n+3ETuzETvhRUn4MSmApUIFaSqc0LWjARLeiTuu6VvwxtIIEammlim1StU771WqbWjFKaaWVtkvXDW0TG6WdyFYwDQFKIKugJpQQ++zE+Lfvznff9/64b40THDsOd76z/XpIlu/7w76P3srXed/38/p+v2GQYDxowRMZdn7gowD0N2eVyxARWefUbMiyheUyr7zQR8fgPkqkwIxivIVCdjthInPCvTKUyxARETUbsqgTMhktPaS2X8bsG68TTg7Tak04xmTbDrxpA5jpXhkiIvIWymzIKc1lMmZGKccztAztp/3Jv8AHX8DSbcxc9klm0t1AgHuoTIaIiCxIZzbklHJ9ewmCBMnpAVKzYwAUgjTmJX79I58lnkjSv/1CZTJERGRRajZkQWPHc2RzfVgYghluATPpbmabu4jPDBNPJAFlMkREZGlqNta5EzIZ2V7aL/kgxcnjTB8+QKs7MZ9lIr2NUrYHYkllMkREZNnUbKxjc5mMZBul9Caajh8i8cgPGWt7F2S7GD/7gyQGnqac2oBbjCDKZHRe+6l6D11ERFaRJQOiZvaAmQ2Z2cFTbL/AzJ4ws4KZ3V39IUqt5Pr2EiZaCGYnyR7/GanZMUqWIFEc4Z3X38F7PvYFNu65B0+3E58awNPtdO6+S9MmIiKyLKdzZuNB4O+Ab51i+wjwaeCmKo1JVkC5VCJ97HmCUp4Y0YPSElnymQuIzU7S0VWZKlEmQ0RE3q4lmw13f9zMzl5k+xAwZGbXV3FcUkXzcxmllq0kuy+iND5AtjRFLCyQT24g37INT7Vj+TFlMkREpKpW9D4bZnabme03s/3Dw8Mr+dbr1pv3yniDMEjSmnuKjQf+FoZfYrzzMmaSHeQz2wiTrVh+TPfJEBGRqlvRZsPd73P3Xe6+a9OmTSv51utW7sl/AqBp6jWyE/0YMBNrAXOu/NSXabv+j/H0BmUyRESkZnQ1yho28OrPac/9hNADMCMMEsw0b6WU7iQ+nSOIxZTJEBGRmlOzsQacfK+MzHlXUxgdoHSsn1ZiBJSYyJxDOdMNQUz3yhARkRW1ZLNhZg8B1wKdZnYEuBdIALj718ysG9gPtAKhmd0JXOTu4zUbtcyZf6+McrKV9NAztLz+KNNtl0J7L5Pn30Lw6j7CeAYH3StDRERW3OlcjXLrEtsHAX1MrpNc316C40n5FwAACrlJREFUWIrEzBBNxREACtZErDzNxbd8jnQmS//Bq/T8EhERqRtNo6xiYyPDtOR+ShCWwAzMmEltppjpJp4/TjqTBXSvDBERqS81G6vAyZmMtot3U5wcYebVA7R6mZjPMtm0ldlsL8SblMkQEZGGomajwZ3w/JKmDtLHDpL8zx8y/qvnl5y1m+Tg05SaOvEgoUyGiIg0HDUbDS7XtxeLNxMrjtIyPoR5GD2/5A3OueHP2Li5Z+7MhzIZIiLSiNRsNLD89CSZoQME4SyGA1BItlPIbCVWHGfj5h5AmQwREWlsajYawMmZjI6dN1DMTzDx8hO0hkViYYHp1GaKLb14KospkyEiIquImo06OyGTkd5E6vgh7N8fY7LtEmjZzPjWa0geO8hsupsw0axMhoiIrDpqNuos17cXS2QIZifJjL9E4GXKFieZH2brzV+ge/sOZTJERGRVU7NRR8VCnvTwc8TKRQLKlXXxFvLN5xMrT9G9fQegTIaIiKxuajZWyPxcRimzhXjHuYSTQ2TLM8TCAvlkB/mWXjzVhuXHlMkQEZE1Y0UfMb9ezeUyZkZwhw25J+g8eD+88SrjXVcwndpEPtNDmMxi+TGC4hhdV95S72GLiIhUhc5srIDBJ75LqpwnPTFMEJYILc5UvA1iCa76g7/klRefUiZDRETWLDUbNVQs5Ol/bh+dg/uYtRSYMRtvJp/pJUy1Ep8axIJAmQwREVnT1GxUyVsyGZ3vIJwcwovTtAZNhBYw1Xoe3rQBzPT8EhERWTeU2aiCuUzG9HEIvZLJeP4fYOQwsbatFK/4Q2aauoAA9xCL7pWhXIaIiKwHOrNRBbknvkOynCddODmTEefdv3UnFgT0bzlXuQwREVmX1Gy8DYX8NL949nE6B/dRtKYok5GJMhnZuUwG6F4ZIiKyfqnZOE0nZjK6iG08h3ByGEoFWoM0ocWYajsPT7UrkyEiIjKPMhun4c1MxjEol9mQe5JNL3wDG32N2MbtzF75R8w0bQY3ZTJEREROojMbpyH3k2+TKk2TzA9hXia0BJPxNB5PcsXNnwagv/ssZTJEREQWoGZjEVMTo/Qf+BGduf+haGkwo5hopZDpIUy2EJ8amNtXmQwREZGFqdmYZ+7pqmOvgEMpkYVMJ0HQTMmSzLSfh6daAZTJEBEROU3KbET6Dz7JyCNfomn4edLTObLTv6Rr9BmINRFeczeFpg4IQzwsK5MhIiKyDDqzAYweG2TkkS/RMnOUcpAEg6lUN2OJLJTzXPK+m+jv6FYmQ0RE5Aysq2Zj/uWr5Wwv2Xe+j+LkMQoDL7J55jB5y5BPbWQ204MnM3hYJj5xBFAmQ0RE5Eytm2Zj7vLVZBvlRJb00DM0v/4ok22XQusWRtLnECZaCFu65n4mKEwolyEiIvI2rZvMRq5vL1iM1PRRWkcPkQgLFKyJWGmKX7v5M3Ts+SxWzmMzo8pliIiIVNGaP7PhYcjr/S/SPvi/hB6AGW4BM02bmW3uIp4/Tmt7B63tHcBdymWIiIhU2ZLNhpk9ANwADLn7xQtsN+ArwIeBaeD33f1AtQd6Ok7IZLT0kOq9lNmJIcLxQVqJEVBisnk7pcwWiCXecvmqchkiIiLVdzrTKA8CexbZ/iFgR/R1G/DVtz+s5ZvLZMyMEJIgm+uj/am/wo/+DEtlmLrwd5hM91BOtOIWaJpERERkhSx5ZsPdHzezsxfZ5UbgW+7uwJNm1m5mW9x9YJGfqbpc314snqZ54jCxsAhAPpbBvMzlv/15EskU/QffrWkSERGRFVaNzEYP8Nq85SPRurc0G2Z2G5WzH2zfvr0Kb/2mytNYu/HpAUqxFPnmrZSbNhKfzpFIpgBNk4iIiNRDNZoNW2CdL7Sju98H3Aewa9euBfc5U+VsL8HMKNMbzodYEizQLcVFREQaQDUufT0CbJu33AscrcLvXZauK28hKI5hs3ncXZkMERGRBlGNZuNh4Pes4ipgbKXzGlCZIuncfReebic+NYCn2+ncfZemTUREROrsdC59fQi4Fug0syPAvUACwN2/BvwHlcteX6Zy6esnajXYpSiTISIi0nhO52qUW5fY7sDtVRuRiIiIrCnr5nblIiIiUh9qNkRERKSm1GyIiIhITanZEBERkZpSsyEiIiI1pWZDREREakrNhoiIiNSUmg0RERGpKTUbIiIiUlNWuQFoHd7YbBh4tUa/vhM4VqPfvVapZmdGdVs+1ezMqG7Lp5ot39up2VnuvmmhDXVrNmrJzPa7+656j2M1Uc3OjOq2fKrZmVHdlk81W75a1UzTKCIiIlJTajZERESkptZqs3FfvQewCqlmZ0Z1Wz7V7Myobsunmi1fTWq2JjMbIiIi0jjW6pkNERERaRBrrtkwsz1m9nMze9nM7qn3eBqRmT1gZkNmdnDeuo1m9qiZvRR931DPMTYaM9tmZj82s0Nm9oKZ3RGtV90WYWZNZvaUmT0X1e1PovXnmFlfVLfvmlmy3mNtNGYWM7NnzOzfomXVbBFmdtjMnjezZ81sf7ROx+cSzKzdzPaa2f9Ff9/eU4u6ralmw8xiwN8DHwIuAm41s4vqO6qG9CCw56R19wCPufsO4LFoWd5UAu5y9wuBq4Dbo39bqtviCsB17n4psBPYY2ZXAX8O/E1UtzeAT9ZxjI3qDuDQvGXVbGnvd/ed8y7d1PG5tK8Aj7j7BcClVP7NVb1ua6rZAK4AXnb3fncvAt8BbqzzmBqOuz8OjJy0+kbgm9HrbwI3reigGpy7D7j7gej1BJUDsgfVbVFeMRktJqIvB64D9kbrVbeTmFkvcD1wf7RsqGZnQsfnIsysFXgv8HUAdy+6+yg1qNtaazZ6gNfmLR+J1snSutx9ACr/sQKb6zyehmVmZwOXAX2obkuKpgOeBYaAR4FfAKPuXop20XH6Vl8GPgOE0XIHqtlSHPgvM3vazG6L1un4XNy5wDDwjWjK7n4zy1CDuq21ZsMWWKfLbaRqzKwF+D5wp7uP13s8q4G7l919J9BL5ezjhQvttrKjalxmdgMw5O5Pz1+9wK6q2YmudvfLqUyj325m7633gFaBOHA58FV3vwyYokZTTWut2TgCbJu33AscrdNYVpucmW0BiL4P1Xk8DcfMElQajX9093+OVqtupyk6PfvfVDIv7WYWjzbpOD3R1cBvmtlhKlPB11E506GaLcLdj0bfh4AfUGlsdXwu7ghwxN37ouW9VJqPqtdtrTUbPwV2RKntJPBR4OE6j2m1eBj4ePT648C/1nEsDSeaM/86cMjd/3reJtVtEWa2yczao9dp4Deo5F1+DNwS7aa6zePun3P3Xnc/m8rfsB+5+8dQzU7JzDJmlv3Va2A3cBAdn4ty90HgNTM7P1r1AeBFalC3NXdTLzP7MJVPATHgAXf/Yp2H1HDM7CHgWipP98sB9wL/AnwP2A78EviIu58cIl23zOwaYB/wPG/Oo3+eSm5DdTsFM3sXlYBZjMqHm++5+5+a2blUPrVvBJ4BftfdC/UbaWMys2uBu939BtXs1KLa/CBajAPfdvcvmlkHOj4XZWY7qQSRk0A/8AmiY5Uq1m3NNRsiIiLSWNbaNIqIiIg0GDUbIiIiUlNqNkRERKSm1GyIiIhITanZEBERkZpSsyEiIiI1pWZDREREakrNhoiIiNTU/wOxz7sOiD1ivgAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "\n", "s1 = SolowKappa()\n", "s2 = SolowKappa(κ=8.0)\n", "\n", "fig, ax = plt.subplots(figsize=(9, 6))\n", "\n", "# Plot time series for each economy\n", "for s in s1, s2:\n", " lb = f'efficiency-of-labor series from initial state κ = {s.κ}'\n", " ax.plot(s.generate_E_sequence(T), 'o-', lw=2, alpha=0.5, label=lb)\n", " \n", "\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "\n", "s1 = SolowKappa()\n", "s2 = SolowKappa(κ=8.0)\n", "\n", "fig, ax = plt.subplots(figsize=(9, 6))\n", "\n", "# Plot time series for each economy\n", "for s in s1, s2:\n", " lb = f'labor-force series from initial state κ = {s.κ}'\n", " ax.plot(s.generate_L_sequence(T), 'o-', lw=2, alpha=0.5, label=lb)\n", " \n", "\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "\n", "s1 = SolowKappa()\n", "s2 = SolowKappa(κ=8.0)\n", "\n", "fig, ax = plt.subplots(figsize=(9, 6))\n", "\n", "# Plot time series for each economy\n", "for s in s1, s2:\n", " lb = f'capital-stock series from initial state κ = {s.κ}'\n", " ax.plot(s.generate_K_sequence(T), 'o-', lw=2, alpha=0.5, label=lb)\n", " \n", "\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "\n", "s1 = SolowKappa()\n", "s2 = SolowKappa(κ=8.0)\n", "\n", "fig, ax = plt.subplots(figsize=(9, 6))\n", "\n", "# Plot time series for each economy\n", "for s in s1, s2:\n", " lb = f'output series from initial state κ = {s.κ}'\n", " ax.plot(s.generate_Y_sequence(T), 'o-', lw=2, alpha=0.5, label=lb)\n", " \n", "\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "\n", "s1 = SolowKappa()\n", "s2 = SolowKappa(κ=8.0)\n", "\n", "fig, ax = plt.subplots(figsize=(9, 6))\n", "\n", "# Plot time series for each economy\n", "for s in s1, s2:\n", " lb = f'output-per-worker series from initial state κ = {s.κ}'\n", " ax.plot(s.generate_y_sequence(T), 'o-', lw=2, alpha=0.5, label=lb)\n", "\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Solow Growth Model: Capital-Output Ratio as State Variable\n", "\n", "\n", "\n", "### Catch Our Breath—Further Notes:\n", "\n", "
\n", "\n", "----\n", "\n", "* Weblog Support \n", "* nbViewer \n", "\n", " \n", "\n", "----" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.7" } }, "nbformat": 4, "nbformat_minor": 4 }