{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Monetary Economics: Chapter 7" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Preliminaries" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# This line configures matplotlib to show figures embedded in the notebook, \n", "# instead of opening a new window for each figure. More about that later. \n", "# If you are using an old version of IPython, try using '%pylab inline' instead.\n", "%matplotlib inline\n", "\n", "from pysolve.model import Model\n", "from pysolve.utils import is_close,round_solution\n", "\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Model BMW" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "def create_bmw_model():\n", " model = Model()\n", "\n", " model.set_var_default(0)\n", " model.var('AF', desc='Amortization funds')\n", " model.var('Cd', desc='Consumption goods demand by households')\n", " model.var('Cs', desc='Consumption goods supply')\n", " model.var('DA', desc='Depreciation allowance')\n", " model.var('K', desc='Stock of capital')\n", " model.var('Kt', desc='Target stock of capital')\n", " model.var('Ld', desc='Demand for bank loans')\n", " model.var('Ls', desc='Supply of bank loans')\n", " model.var('Id', desc='Demand for investment goods')\n", " model.var('Is', desc='Supply of investment goods')\n", " model.var('Mh', desc='Bank deposits held by households')\n", " model.var('Ms', desc='Supply of bank deposits')\n", " model.var('Nd', desc='Demand for labor')\n", " model.var('Ns', desc='Supply of labor')\n", " model.var('Rl', desc='Rate of interest on bank loans')\n", " model.var('Rm', desc='Rate of interest on bank deposits')\n", " model.var('W', desc='Wage rate')\n", " model.var('WBd', desc='Wage bill - demand')\n", " model.var('WBs', desc='Wage bill - supply')\n", " model.var('Y', desc='Income = GDP')\n", " model.var('YD', desc='Disposable income of households')\n", " \n", " model.set_param_default(0)\n", " model.param('alpha0', desc='Exogenous component in consumption')\n", " model.param('alpha1', desc='Propensity to consume out of income')\n", " model.param('alpha2', desc='Propensity to consume out of wealth')\n", " model.param('delta', desc='Depreciation rate')\n", " model.param('gamma', desc='Speed of adjustment of capital to its target value')\n", " model.param('kappa', desc='Capital-output ratio')\n", "\n", " model.param('PR', desc='Labor productivity')\n", " model.param('Rlbar', desc='Rate of interest on bank loans, set exogenously')\n", "\n", " # Basic behavioural equations\n", " model.add('Cs = Cd')\n", " model.add('Is = Id')\n", " model.add('Ns = Nd')\n", " model.add('Ls - Ls(-1) = Ld - Ld(-1)')\n", " model.add('Y = Cs + Is')\n", " model.add('WBd = Y - Rl(-1)*Ld(-1) - AF')\n", " model.add('AF = delta * K(-1)')\n", " model.add('Ld - Ld(-1) = Id - AF')\n", " \n", " # Transactions of households\n", " model.add('YD = WBs + Rm(-1)*Mh(-1)')\n", " model.add('Mh - Mh(-1) = YD - Cd')\n", " \n", " # Transactions of the banks\n", " model.add('Ms - Ms(-1) = Ls - Ls(-1)')\n", " model.add('Rm = Rl')\n", " \n", " # The wage bill\n", " model.add('WBs = W * Ns')\n", " model.add('Nd = Y / PR')\n", " model.add('W = WBd / Nd')\n", " \n", " # Household behavior\n", " model.add('Cd = alpha0 + alpha1*YD + alpha2*Mh(-1)')\n", " \n", " # The investment beahavior\n", " model.add('K - K(-1) = Id - DA')\n", " model.add('DA = delta * K(-1)')\n", " model.add('Kt = kappa * Y(-1)')\n", " model.add('Id = gamma * (Kt - K(-1)) + DA')\n", " \n", " # The behaviour of banks\n", " model.add('Rl = Rlbar') \n", "\n", " return model\n", "\n", "bmw_parameters = {'alpha0': 25,\n", " 'alpha1': 0.75,\n", " 'alpha2': 0.1,\n", " 'delta': 0.1,\n", " 'gamma': 0.15,\n", " 'kappa': 1}\n", "bmw_exogenous = {'PR': 1,\n", " 'Rlbar': 0.04}\n", "bmw_variables = {'Mh': 200,\n", " 'Ms': 200,\n", " 'Ld': 200,\n", " 'Ls': 200,\n", " 'K': 200,\n", " 'Y': 200,\n", " 'Rl': 0.04,\n", " 'Rm' : 0.04,\n", " 'W': 0.86,\n", " 'Cd': 200}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Scenario: Model BMW, increase in autonomous consumption" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "alpha0 = create_bmw_model()\n", "alpha0.set_values(bmw_parameters)\n", "alpha0.set_values(bmw_exogenous)\n", "alpha0.set_values(bmw_variables)\n", "\n", "# run to convergence\n", "# Give the system more time to reach a steady state\n", "for _ in range(15):\n", " alpha0.solve(iterations=200, threshold=1e-5)\n", "\n", "# shock the system\n", "alpha0.set_values({'alpha0': 28})\n", "\n", "for _ in range(40):\n", " alpha0.solve(iterations=100, threshold=1e-5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###### Figure 7.1" ] }, { "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": [ "caption = '''\n", " Figure 7.1 Evolution of household disposable income and consumption. following an\n", " increase in autonomous consumption expenditures, in Model BMW'''\n", "yddata = [s['YD'] for s in alpha0.solutions[5:]]\n", "cddata = [s['Cd'] for s in alpha0.solutions[5:]]\n", "\n", "fig = plt.figure()\n", "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n", "axes.tick_params(top='off', right='off')\n", "axes.spines['top'].set_visible(False)\n", "axes.spines['right'].set_visible(False)\n", "axes.set_ylim(175, 210)\n", "\n", "axes.plot(yddata, linestyle='-', color='r')\n", "axes.plot(cddata, linestyle='--', color='b')\n", "\n", "# add labels\n", "plt.text(18, 206, 'Disposable income')\n", "plt.text(14, 198, 'Consumption')\n", "fig.text(0.1, -.05, caption);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###### Figure 7.2" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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oUeF6v4hIApT5mn4i6Jq+FGvAAPj0U/j559DJLd19/HHI3f/bb3DrrfD3vyfsfn4RqfbKd01fJKlycmDs2FDLV8AP8vP0H3kkXHpp6Oinu19EpJwU9CX1Pv88XL9O56b9eBo1gpdfhnvvhXffDR39xo1LdalEpApT0JfUe/vt0HR92GGpLknlYwYXXACffQb160OvXnD99aF1RERkCynoS+q9/XYYRrdhw1SXpPLKygod+844A268EQ49FJQzXkS2kIK+pNaSJfDFFxANmCIlqF8fHn8cnnoKvvwSWreGYcNU6xeRMlPQl9R6913Iy9P1/C1x+unwzTfhcsjll0PHjqFfhIhIKRT0JbXefjs06+te9C2z++7w6quho9/ixdClC/ztb7BiRalvFZH0paAvqfXBB6FzWo0aqS5J1WMGxx0Xav0XXhh6+e+3XzgRUBpfEYlDQV9SZ/16+OmnkHtett5228Hw4SG50c47w/HHw7HHhtTGIiIxFPQldX78MdRI99or1SWpHjp3DsPzDhsW+krsuy9cdVUYtVBEBAV9SaXs7PB3771TW47qpGbNkMFvxozQ9H/bbbDnnnDTTbByZapLJyIppqAvqfP99+GvavqJ16wZPP00TJ0a+kxcdx00bw533glr16a6dCKSIgr6kjrZ2dCgAey0U6pLUn21aQOvvBIy+rVvH1oBWrSABx6AjRtTXToRqWAK+pI62dmhaV+D7CRf587wzjshd3+zZnDuueGa/8MPq+YvkkYU9CV1vv9eTfsVrXt3GD8eXn8ddtgB/vpX2G03GDIkDGssItWagr6kRm5u6L2voF/xzOBPfwo9/ceNg5494Y47Qoe/44+HDz/Uff4i1ZSCvqTG3LnhmrKCfuqYhZr/iy+GE7ArrggnAT16QGZmaPpfsybVpRSRBFLQl9TQ7XqVyx57wL/+FU7GHnkkDHWc3/R/7rmh9p+Xl+pSikg5KehLauh2vcqpXj0YPBi++go++iiMfvjUU6H2v/vucMklYXAfNf+LVEkK+pIa2dlQuzY0bZrqkkg8ZnDIIfDMM7BwIYwaFQZFuu8+OOCA0EJz9dUwbVqqSyoiW0BBX1IjOzt0HNNAO5XfttvCSSeFUf0WLIDHHgtB/7bboF27cOvf3/8Ob74Jq1enurQiUgLzCmym69ixo0+aNKnCtieVWFZWuF48ZkyqSyJba+HC0Alw9OhwzX/dutB6c8gh0KdPeGRmKg+DSMUr9p9OQV8qnnsYGW7wYLjnnlSXRhJh7VqYMAHefjskAcpv9t9lF+jdO/QJ6NIlDP2boQZGkSQrNujXrMhSiACwaBGsWqVOfNVJvXohuPfuHV7Pmwdjx4aTgLfeCuMAQDjZO+CAcALQtWt43qhR6sotkmYU9KXi6Xa96m/XXWHgwPDIy4PvvoNPP4VPPgl/b7ll0y2ALVuG4J+ZGcYKaNMGmjTRZQGRJFDQl4qn2/XSS0ZGCOwtW4aTAAgtPV98EU4APv00XBJ48slN72nYcNMJQJs20LZt6DC40046GRApBwV9qXjZ2eGHu1mzVJdEUqV+/ZD+t2fPTdMWLYIZM2D69E2PZ56B5cs3LdOgQThZbN48PGKf//GPUKtWxe+LSBWioC8VLzs7JHqpUyfVJZHKZOedQ4e/Hj02TXMPWQKnTYPZs+GHH8L355tvwqBB69dvWjYjI1wW2HXXkP8h/2/s8113he23V2uBpC0Ffal433+v6/lSNmbhBHH33cMgQbHy8mD+/HAS8MMP4TF3Lvz6a/iOffghLFtWdJ01a4bLBPmPnXfe/HmjRuHEYPvtw0iE+X/r19edB1LlKehLxcvOhmOPTXUppKrLyNhUk+/WLf4ya9eGOwnmzQsnA/Pnh8sIixeHx6JFoRVh8WJYsqTk9MJmm04G6tcPj223jf93m23CHQ116276W/h53bohr0Fxjxo11CIhCaegLxVr5crwQ6tOfFIR6tUL37WyfN9yc2Hp0tA6sHw5/P57+Bvv+apVIfvgqlXhPfmv86clYnAis9AqUbNmOAHIfx77qFGjbI+MjJKfZ2TEf5gVfV7S38LP470uZpoTHnlk4JZR8LxWTadGDcjJy2BtTq0wn03LN6i7kVo1nXU5NVm+rs6meQ5uGTTebh21auSxcn1tlq4O8wu257B7o9XUquksXV2HJavrhvdF6wDYu/EKataEhSvqsmhl3YLp+X9bN/2djAz4ddk2LFxRN8zzTZ/h/s2WAjBn0bYsXrVp/QB/2H4teww4ILRkVRAFfalYul1PKqsaNULz/s47l2897qGvwbp14bF27WZ/c1atY93y9axfk8uGNTnUyN1A47orYMMGpv/UgFWrYP06Z8O6PDZsNHaus4LOO/8IOTmMmpXFqvU12bjR2JgTHvvWn8uRu0yC3FyGzhjAutya5ORmkJNn5ORmcPB2Uzl5p3fJWZ/LmbOvItczyMnLKPh7XIN3GbT9K6zMqcexc+8lz41czyCXsMw5247kzLrPMj9nZ/oue5ZczyAvmpdHBtfUGcagmk/zbe7e9Fo7hjzPIC8K2HlkMLzGJZzGSL7I60APf78gmOcH72c4lQG8yLscRh/GFjmcb3AER/AWozmO43m5yPzxHMzBfMzz/JmBPFlk/hQyyWQqT3I+F3JfkfnZNKc5P/IgV3IVtxaZv5Cd2ZnFDOcmbuGaIvPXUpe6rOd27mY4F282rwY55BA6l97IIzzGCZvNv5RhDGtRp0KDvjLyScV68UUYMCCM4paVlerSiGzGPcTmVatCo9TKlbBxYxhrCOCNN+Dbb0OFfs2a8NhhBxg6NMz/xz9g0qRNcX7dupCE8H//C/P33z989WP16gXvvRee77VX6JoQ6+ij4bXXwvNddgnZj2Oddtqm3EcNGsCGDeEmhvyGgLPOgttvDw0ZLVoUbTgYNAguvjjs8+GHF20MGDgQTj01XAE5++zNGwdq1IDTTw/vmzcPrr++aGPBqaeGPEw//wzDh0fTzUOF35yTT8yjbRvnh2znqZEZZGSEenD+3xOP28hee+bx3ffGa6/XICO/cYCwjgFHr2fXP+Tx7XcZvPdRrYLpZuH9xx+5jh0b5jFzdg0+mVSrYDqE9fQ/Yi0N6jszZtVgyjchQBsUrOPY3muoWxemf1uLmd/VLHgfHrZzbJ811KgBU2fW4odfwvaJef9Rh64FYMo3tZk7v0bMPNhz9xz2O7BhuCyUWErDK5XEbbfBkCGwYkX4hRJJktWrQ4BctAg6dw7T3nwTxo8PLfjLloWW+g0b4P33w/zTTgt3CcbaZRf47bfw/JhjwlADEALrNtuE9AGffhqmXXRRuOuwXr1Nl+/33nvTScF//xu6DtSps+mS/m67wZFHhvnvvx/KE3tpf8cdN12d+OmnEDRr1dr0qFNHN8JIEUrDK5VEdnZoPlXAl63gHs4Xf/11U0f9uXPh0ktDAL73Xhg2LAT7tWs3vW/VqlCZeuedsEzDhqGG3rBh6KzvHmpeAwaEPEANGmx6NGy4aT2PPRaC7rbbxk8J8J//lFz+884reX6vXiXP/+MfS54vUhrV9KVi9eoV2jwnTkx1SaSSWrcOfvwxnB9+/314DBkSasT33QcXXlj0PbNnh6brl18OIwA3bhzOLfP/9u4dasM5OeoUL2lBNX2pJLKzi7+9StLKkiXhbrmpU+GII0LQHjMmXMOOrYtsv324LrzbbnDwwXDHHeF506bh7667bmre7t8/PIpTU794kub0LyAVZ/16+OUX3a6XZjZsCB99gwbhmvS554ZAP2/epmW23TYE/TZtQmewvfcOj732Cte082vmmZnhISJbR0FfKs6cOaEKp6BfrS1ZEq7efPxxeHzxBVxxBdx4Y7iOPn8+HHootGu36bHLLuG9zZqFoC8iyaGgLxUnf3Q93aNfbbiH6+lLl4bbsnJzYc89w61uNWuGW9TOPx8OOywsv/32MGVKSossktYU9KXi5CfmUU2/Slu9OtxX/vrr4b71uXNDyoWvvgqd5EaMCNfaO3UKt62JSOWhoC8VJzs75CUvb8YzqXC//LIpadjgwfD88+Gj7NMHrrsudLDLd+qpqSmjiJROQV8qTv7oerpfqkr4+msYOTL0qJ85M9xG16wZXHJJyMx2yCEheYyIVB0K+lJxsrND92yp1L7+OqRmnTIlJKDp3j0E+fx8SgcckMrSiUh5KOhLxcjNDVXFY45JdUmkkA0bwvX5+vVDEpvddgvX4u+9F04+OdwyJyLVg4K+VIxffw3RRZ34Ko2pU+Hhh0Ou+SVLQlKc3r1DkFfCRJHqSUFfKoZu16tULroo1ORr14Zjjw0jqfXpk+pSiUiyKehLxdDteinlHm6v69YtXJvv3h3+8IcwAEyjRqkunYhUlIxUF0DSRHZ26BW2226pLklaycmBZ58N99H36wdPPhmmn3ACXH21Ar5IulHQl4rx/ffQvHnI3iJJ5w4PPggtW4b75jduhMcfD73wRSR9qXlfKkZ2tpr2K5BZ6KC3445hfPljjgnjwItIetPPgCSfu4J+BfjxRzjllHCjBIRx5T/7DI47TgFfRAL9FEjyLVoURmBR0E+KtWvhhhugVSv43//gyy/D9B12UPJDEdmcgr4kX37Pfd2ul3CjR0Pr1jB0aGjCnzULjjoq1aUSkcqq1KBvZrub2QdmNtPMZpjZxdH0O8xslplNNbNXzGyHpJdWqibdrpc0L78csue9/z6MGqWbI0SkZGWp6ecAl7r7fkAX4AIzawWMBdq4eztgNnBV8oopVVp2dmhn3nPPVJekynOH+++H6dPD6+HDQ478nj1TWiwRqSJKDfruPt/dv4yerwRmAk3d/R13z4kW+xRQHUPi+/77UAWtUyfVJanSfv8dBgyACy4It+MBbLddSH8gIlIWW3TLnpk1A9oDnxWaNRh4LkFlkuomO1vX88vp88/hpJNg7ly4/Xa49NJUl0hEqqIyd+Qzs/rAS8Df3X1FzPSrCZcARhbzvrPNbJKZTVq0aFF5yytVkW7XK5dx4+DggyEvDz76CC6/XLfgiUjxYuNu9ChIy1Wmmr6Z1SIE/JHu/nLM9IFAP+BQd/d473X3B4EHATp27Bh3GanGVq6EhQsV9LeCe+gKceCBcMklcMUVSpsrIqWLjbuFlaX3vgGPADPd/c6Y6YcDVwJHu/uaBJVVqhvdrrdVPv44DI6zbFkYCe/WWxXwRaT8ytJIeBDwZ6CXmU2JHn8C7gUaAGOjaSOSWVCponS73hZxh3//O4yCN38+LFiQ6hKJSHVSavO+u08A4uX1eiPxxZFqR0G/zPLywvX6O++E44+HRx8NvfNFRBJF3YEkub7/HnbaSdGrDP71rxDwL7wQnn9eh0xEEk+j7Ely6Xa9MjvnHNh++3AfvnLmi0gyqKYvyaXb9Ur0++9w1VWwYUNoELnwQgV8EUkeBX1JnvXr4eefFfSLMX9+6LD373/DF1+kujQikg7UvC/JM2dO6I6u5v0isrOhT5/QO//11+Ggg1JdIhFJBwr6kjzquR/X119D376wcSO89x4ccECqSyQi6ULN+5I8CvpxucPOO8OECQr4IlKxVNOX5Pn5Z6hbFxo3TnVJKoUVK8JteFlZobav/PkiUtH0syPJs3hx6JKu7uj89lsI9rfdFl4r4ItIKuinR5JnyRLYccdUlyLlVq6EI48MnfZ69kx1aUQknal5X5Inv6afxjZuhBNOCM35o0dD586pLpGIpDPV9CV5VNPn7LPhnXfgwQfhT39KdWlEJN2ppi/Js2RJ2tf0e/WCFi1g8OBUl0REREFfkiU3F5YuTdua/oIFsMsu8Oc/p7okIiKbqHlfkuP338MN6WkY9F95BfbcEz76KNUlERHZnIK+JMfixeFvmjXvT5gAp5wC7dpBx46pLo2IyOYU9CU5liwJf9Oopv/TT3DMMbDHHjBmDGyzTapLJCKyOQV9SY78oJ8mNf2NG+Hkk8PfN95Im90WkSpGQV+SI795P01q+mYh8c5DD2lQQRGpvNR7X5IjjWr67lCzJvzf/6W6JCIiJVNNX5Jj8WKoVQvq1091SZJq3jzYf3/49NNUl0REpHQK+pIc+dn4qvFgO7m5cNppMHt2GD1PRKSyU/O+JEcaZOO7+WYYNw4eewxatUp1aURESqeaviTH4sXVuhPfuHFw440h497AgakujYhI2SjoS3JU85r+k0+GXvr331+tr2CISDWj5n1Jjmpe03/4YVi4sNr3UxSRakY1fUk892o72M6oUfDLL5CRAX/4Q6pLIyKyZRT0JfFWrICcnGrXvP/pp+Ea/tChqS6JiMjWUdCXxKuG2fjWrYMzzoCmTeHf/051aUREto6u6UviVcNsfLfcAt99B2PHwg47pLo0IiJbRzV9SbxqVtP/5hu47TY4/XQ47LBUl0ZEZOsp6EviVbNhdZs0gfPPhzvvTHVJRETKR837knjVrHm/YUO4++5Ul0JEpPxU05fEW7w43NO2/fapLkm5/PYb9OoF06aluiQiIomhoC+Jlz/YTkbV/nr94x/w8cdQu3aqSyIikhhV+1dZKqdqkI3vrbdCIp5//hNatkx1aUREEkNBXxIvv6ZfRa1ZEzrutWwJQ4akujQiIomjjnySeEuWwJ57proUW+2+++DHH8NIenXqpLo0IiKJo6Avibd4MXTsmOpSbLWLL4b99oPu3VNdEhGRxFLzviSWe5UdVjc3NwwbULs29OuX6tKIiCSegr4k1urVsH59lbymP2JEqOHPnZvqkoiIJIeCviRWFc3GN28eXHUVtGkTBtUREamOFPQlsapoNr5rrgkNFPffD2apLo2ISHIo6EtiVcHBdqZNg8cfh4sugr32SnVpRESSR0FfEqsK1vSffTZkDP7nP1NdEhGR5FLQl8SqgjX9W26Br76CRo1SXRIRkeRS0JfEWrIkXBRv2DDVJSlVXh7Mnx+K26xZqksjIpJ8CvqSWEuWwA47QM3Kn/fp2WfDNfyvv051SUREKoaCviRWFRlsZ906uPpq2HdfaNs21aUREakYlb86JlVLFcnGd9998NNP8MgjVX4EYBGRMtPPnSRWFajpL10KN98Mhx8Ohx6anG3UqFGDrKws2rRpw1FHHcXvv/++VesZN24c/apITuBXX32Vb775Ju68ESNG8OSTTya9DL///jv3339/tdmOSKIp6EtiVYGa/tixsGoV3HZb8rZRr149pkyZwvTp02nUqBH33Xdf8jZWSZQU9M8991zOOOOMpJdBQV+kZAr6klhLllT6mv5JJ8GcOdCuXcVsr2vXrvz6668AZGdnc/jhh9OhQwcOOeQQZs2aBcCgQYM499xzOeSQQ9hnn30YM2ZMkfV8/vnnHHjggbRv354DDzyQb7/9FoDc3Fwuu+wy2rZtS7t27fjPf/4DwOTJk+nevTsdOnSgb9++zJ8/H4AePXrwj3/8g27durHffvvxxRdf0L9/f1q0aME111xTsL2nn36azp07k5WVxTnnnENubi4A9evX5+qrryYzM5MuXbqwYMECJk6cyOjRo7n88svJysoiOzt7s7IPHTqUYcOGFWz/yiuvpHPnzuyzzz6MHz8egAMOOIAZM2YUvKdHjx5MnjyZ1atXM3jwYDp16kT79u157bXXAJgxY0ZB+dq1a8d3333HkCFDyM7OJisri8svv5xx48bRvXt3TjzxRPbZZx+GDBnCyJEj6dy5M23bti0o56JFizj++OPp1KkTnTp14uOPPy4o9+DBg+nRowfNmzdn+PDhAEW2I1JluHuFPTp06OBSja1d6w7ut9yS6pIU68cfK2Y72267rbu75+Tk+AknnOBvvvmmu7v36tXLZ8+e7e7un376qffs2dPd3QcOHOh9+/b13Nxcnz17tjdt2tTXrl3rH3zwgR955JHu7r58+XLfuHGju7uPHTvW+/fv7+7u999/v/fv379g3pIlS3zDhg3etWtXX7hwobu7jxo1ys8880x3d+/evbtfccUV7u5+9913e5MmTXzevHm+bt06b9q0qS9evNi/+eYb79evn2/YsMHd3c877zx/4okn3N0d8NGjR7u7++WXX+433XRTwT688MILcY/H9ddf73fccUfB9i+55BJ3d3/99df90EMPdXf3O++806+77jp3d583b563aNHC3d2vuuoqf+qpp9zdfdmyZd6iRQtftWqVX3jhhf7000+7u/v69et9zZo1/uOPP3rr1q0LtvvBBx/49ttvX7B/u+66a8E27r77br/44ovd3f2UU07x8ePHu7v7Tz/95Pvuu29Bubt27err1q3zRYsWeaNGjXzDhg1FtiNSyRQbh0vtyGdmuwNPAn8A8oAH3f0eMxsADAX2Azq7+6QknptIVVDJs/F9+SV06gQjR8LJJyd3W2vXriUrK4s5c+bQoUMHevfuzapVq5g4cSIDBgwoWG79+vUFz0888UQyMjJo0aIFzZs3L2gFyLd8+XIGDhzId999h5mxceNGAN59913OPfdcaka3STZq1Ijp06czffp0evfuDYTWgCZNmhSs6+ijjwagbdu2tG7dumBe8+bN+eWXX5gwYQKTJ0+mU6dOBfvTuHFjAGrXrl3Qz6BDhw6MHTt2i49P//79C94/Z86cgv3v3bs3N9xwA88//3zBcXrnnXcYPXp0QUvBunXr+Pnnn+natSu33HILc+fOLWipiKdTp04F+7fXXnvRp0+fgn3/4IMPCo5h7KWJFStWsHLlSgCOPPJI6tSpQ506dWjcuDELFizY4v0VqSzK0ns/B7jU3b80swbAZDMbC0wH+gMPJLOAUoVU4mx87nD55SFn0BFHJH97+df0ly9fTr9+/bjvvvsYNGgQO+ywA1OmTIn7His00k/h19deey09e/bklVdeYc6cOfTo0QMIrXWFl3V3WrduzSeffBJ3W3Xq1AEgIyOj4Hn+65ycHNydgQMH8q9//avIe2vVqlWwvRo1apCTk1P8gShG/jZj39+0aVN23HFHpk6dynPPPccDDzxQsC8vvfQSLVu23Gwd++23HwcccACvv/46ffv25eGHH6Z58+bFbqvw/ubvK0BeXh6ffPIJ9erVK/H9W7u/IpVFqdf03X2+u38ZPV8JzASauvtMd/822QWUKqQS1/Tffhvefx+uuy7k2a8o22+/PcOHD2fYsGHUq1ePPffckxdeeAEIwezrmMxAL7zwAnl5eWRnZ/PDDz8UCXLLly+naTTu7+OPP14wvU+fPowYMaIgGC1dupSWLVuyaNGigqC/cePGza6Xl+bQQw/lxRdfZOHChQXr/Omnn0p8T4MGDQpqx1vr5JNP5vbbb2f58uW0jRIo9O3bl//85z+4OwBfffUVAD/88APNmzfnb3/7G0cffTRTp07d6jL06dOHe++9t+B1cSdm+RKxryKpsEUd+cysGdAe+CwppZGqrZLW9PPy4IoroHlzOPfcit9++/btyczMZNSoUYwcOZJHHnmEzMxMWrduXdApDaBly5Z0796dI444ghEjRlC3bt3N1nPFFVdw1VVXcdBBBxV0qgP4y1/+wh577EG7du3IzMzkmWeeoXbt2rz44otceeWVZGZmkpWVxcSJE8tc5latWnHzzTfTp08f2rVrR+/evQs6Ahbn5JNP5o477qB9+/ZFOvKV1QknnMCoUaM48cQTC6Zde+21bNy4kXbt2tGmTRuuvfZaAJ577jnatGlDVlYWs2bN4owzzmDHHXfkoIMOok2bNlvUwW748OFMmjSJdu3a0apVK0aMGFHi8lu7HZFUs/yz51IXNKsPfAjc4u4vx0wfB1xW3DV9MzsbOBtgjz326FBabUGqsP/+F84/H+bNg5jrx6k2fTp06QIPPginnprq0sQ3aNAg+vXrxwknnJDqoohIFWdm5xDF3ciD7v4glDEjn5nVAl4CRsYG/LKINvQgQMeOHct2hiFVU37zfiWr6bdpE27RqwJjAImIlFts3C2sLL33DXgEmOnudya4bFKdLF4MDRpA7dqpLkmBRYtCF4NK2M1gM7HX6EVEkqUs1/QPAv4M9DKzKdHjT2Z2nJnNBboCr5vZ20ktqVR+lSwbX14eHHYYnH56qksiIlI5lFrTd/cJgBUz+5XEFkeqtEqWd/+112DqVLjsslSXRESkclAaXkmcSpSC1x1uvBH23htOOSXVpRERqRw0tK4kzpIlsM8+qS4FAKNHw5Qp8MQTUFPfchERQDV9SaRK1Lz/4IOhll9Zb9ETEUkF1YEkMTZuhBUrKk1HvpdeCrfpqZYvIrKJfhIlMSrJPfru4fyjbl3Yd9+UFkVEpNJR874kRiUJ+q+/Di1awLcaFUJEpAgFfUmMSjDYjjvccAPUqBHy7KfS2rVr6d69+2Y58str0qRJ/O1vfwNg3LhxZcql//jjj3PhhReWulyzZs1YnD92QgWaN29eqamH58yZwzPPPFPwOvY4iMiWUfO+JEYlGGznzTdh0iR4+GGoVStlxQDg0UcfpX///tSoUSNh6+zYsSMdO3YEQtCvX78+Bx54YMLWnwg5OTnU3IKOFLvuuisvvvhiicvkB/1To16ZscdBRLaMavqSGCmu6efX8ps1gzPOSEkRNjNy5EiOOeaYgte33347bdu2JTMzkyFDhgDw0EMP0alTJzIzMzn++ONZs2YNEAbfOffccznkkEPYZ599GDNmDBACfb9+/ZgzZw4jRozgrrvuIisri/Hjx/O///2PAw44gPbt23PYYYexYMGCEsu3ZMkS+vTpQ/v27TnnnHOIHXjr6aefpnPnzmRlZXHOOecUtFbUr1+fSy+9lP33359DDz2URYsWAdCjRw/++c9/0r17d+655x4mT55M9+7d6dChA3379i0Yne/777/nsMMOIzMzk/3335/s7GzmzJlDmzZtgBDcDznkEPbff3/233//gpaMIUOGMH78eLKysrjrrrsKjgOEIX+PPfZY2rVrR5cuXZg6dSoAQ4cOZfDgwfTo0YPmzZszfPjwcnyaItWIu1fYo0OHDi7V1P/9nzu4r1mTks2PGxc2/+CDKdn8ZtavX++77LJLwes33njDu3bt6qtXr3Z39yVLlri7++LFiwuWufrqq3348OHu7j5w4EDv27ev5+bm+uzZs71p06a+du1a/+CDD/zII490d/frr7/e77jjjoL3L1261PPy8tzd/aGHHvJLLrnE3d0fe+wxv+CCC4qU8aKLLvIbbrjB3d3HjBnjgC9atMi/+eYb79evn2/YsMHd3c877zx/4okn3N0d8Kefftrd3W+44YaC9Xbv3t3PO+88d3ffsGGDd+3a1RcuXOju7qNGjfIzzzzT3d07d+7sL7/8sru7r1271levXu0//vijt27d2t3dV69e7WvXrnV399mzZ3v+70Xsfhd+feGFF/rQoUPd3f29997zzMzMguPTtWtXX7dunS9atMgbNWpUsE8iaaDYOKzmfUmMJUtgm22gXr2UbL5bNxgzBnr3TsnmN7N48WJ22GGHgtfvvvsuZ555Jttssw0AjRo1AmD69Olcc801/P7776xatYq+ffsWvOfEE08kIyODFi1a0Lx5c2bNmlXiNufOnctJJ53E/Pnz2bBhA3vuuWeJy3/00Ue8/HIYMPPII4+kYTQE4XvvvcfkyZPp1KkTEPomNG7cGICMjAxOOukkAE4//XT69+9fsL786d9++y3Tp0+nd/RB5Obm0qRJE1auXMmvv/7KcccdB0DdunWLlGnjxo1ceOGFTJkyhRo1ajB79uwS9wFgwoQJvPTSSwD06tWLJUuWsHz58oL9qlOnDnXq1KFx48YsWLCA3XbbrdR1ilRnCvqSGClMwesOZnDkkSnZfBH16tVj3bp1Ba/dnTBY5eYGDRrEq6++SmZmJo8//jjjxo0rmFd4+Xjvj3XRRRdxySWXcPTRRzNu3DiGDh1aajnjrdPdGThwIP/617+26P3bbrttwftbt27NJ598stmyK1asKHV9d911F7vssgtff/01eXl5cU8M4pW3uHLVqVOnYFqNGjXIyckpdX0i1Z2u6UtipCgbnzv06wf33FPhmy5Ww4YNyc3NLQj8ffr04dFHHy24Zr906VIAVq5cSZMmTdi4cSMjR47cbB0vvPACeXl5ZGdn88MPP9CyZcvN5jdo0ICVK1cWvF6+fDlNmzYF4Iknnii1jN26dSvY5ptvvsmyZcsAOPTQQ3nxxRdZuHBhQVl/+uknAPLy8go63T3zzDMcfPDBRdbbsmVLFi1aVBD0N27cyIwZM9huu+3YbbfdePXVVwFYv359wfGI3YcmTZqQkZHBU089VdCXoPC+Frcf48aNY6eddmK77bYrdf9F0pWCviRGiobV/egjeOONcJteZdKnTx8mTJgAwOGHH87RRx9Nx44dycrKYtiwYQDcdNNNHHDAAfTu3Zt9C2USatmyJd27d+eII45gxIgRRWq9Rx11FK+88kpBR76hQ4cyYMAADjnkEHYqw+dw/fXX89FHH7H//vvzzjvvsMceewDQqlUrbr75Zvr06UO7du3o3bt3QUe8bbfdlhkzZtChQwfef/99rrvuuiLrrV27Ni+++CJXXnklmZmZZGVlFXTIe+qppxg+fDjt2rXjwAMP5Lffftvsveeffz5PPPEEXbp0Yfbs2QWtB+3ataNmzZpkZmZy1113bfaeoUOHMmnSJNq1a8eQIUPKdMIjks4sXvNYsnTs2NEnTZpUYduTCrTPPrD//jBqVIVutk+fMHzujz+mrDtBXF999RV33nknTz311Ba/d9CgQfTr16/U+9crWv369Vm1alWqiyEipSv2eqBq+pIYKajpf/EFjB0Ll1xSuQI+QPv27enZs2dCk/OIiJSXOvJJ+eXmwrJlFX5N/5ZboGFDOO+8Ct1smQ0ePHir3vf4448ntiAJolq+SNWnoC/lt2xZ6FFXwUH/mmtCs36DBhW6WRGRKktBX8ovRdn4OnYMDxERKRtd05fyq+C8+99/D4MHw6+/VsjmRESqDQV9Kb8Krunfeis880zlu01PRKSyU9CX8ssP+hVQ0//lF3jySfjLX+APf0j65kREqhUFfSm/Cmzev+OO0GfwiiuSvikRkWpHQV/Kb8kSqF0b6tdP6mYWLICHHoI//xmiBHIiIrIF1Htfyi8/734pg8IkwuDBcPHFSd+MiEi1pKAv5VdB2fh22QXuuy/pmxERqbbUvC/lVwHD6j77LIwfn9RNiIhUewr6Un5JHlZ35Uq44ILQiU9ERLaegr6UX5Kb9x94IGT6vfrqpG1CRCQtKOhL+bgntXl/3Tr497/h0EPhgAOSsgkRkbShjnxSPsuXh1H2klTTHzECfvstXNMXEZHyUU1fyifJ2fjq1YMBA6BHj6SsXkQkrSjoS/kkORvfOefA888nZdUiImlHQV/KJ0mD7SxdGgbVyc1N6GpFRNKagr6UT5Jq+nfcAaefDt9+m9DVioikNQV9KZ8k1PR/+w3uuQdOOQVatUrYakVE0p6CvpTPkiVhYPvtt0/YKm+5BTZsgBtuSNgqRUQEBX0prwQPtjNnTkjGc9ZZsPfeCVmliIhEFPSlfBKcmOe332C//eDaaxO2ShERiSg5j5RPgvPud+kCU6ZUyCi9IiJpRzV9KZ8E5t1/+WVYtUoBX0QkWRT0pXwS1Lz/1Vdw/PFw993lL5KIiMSnoC9bzz007yegpn/NNdCwIVx0UQLKJSIicemavmy91avDvXXlrOlPmABvvAG33ZbQO/9ERKQQ1fRl6yUgG587XH01/OEPcOGFCSqXiIjEpaAvWy8B2fhWroSMjNC8v802CSqXiIjEpeZ92XoJqOlvtx28/36o8YuISHKppi9br5w1/XvvhV9/DbfoZeibKCKSdPqpla2XH/S3oqb//POhp/6IEQkuk4iIFEtBX7be4sWhmt6w4Ra97bvv4C9/ga5d4brrklQ2EREpQkFftt6SJSHg16hR5resXQsDBkCtWvDcc+GviIhUDHXkk623FXn3b74Zvv4aXn8ddt89SeUSEZG4FPRl621F3v3LL4c2beBPf0pSmUREpFhq3pettwV593/+Gdatgx12gFNOSW6xREQkPgV92XplbN5fvRoOPxz696+AMomISLFKDfpmtruZfWBmM81shpldHE1vZGZjzey76O+WdeGWqq8MzfvucN55MGsWXHZZBZVLRETiKktNPwe41N33A7oAF5hZK2AI8J67twDei15Luli7FtasKbWm/8gj8NRTcMMN0KtXBZVNRETiKrUjn7vPB+ZHz1ea2UygKXAM0CNa7AlgHHBlUkpZnHnz+PjqN3g7e+8isy47cCLb1VnPBz8244M5exaZf/XBH1KnZi5vfb83E+fuUWT+jT3eB+C1b/dl8vxdN5tXu0Yu13T7CIAXvmnFtAW7bDa/Qe31XH7gxwCMnNaOb5dsXhvesd4aLj7gUwAendKeOb9v3kjSpP5Kzuv4BQD/ndSJ+asabDa/2Q7LGJz1FQD3fNaFJWs3T1rfcsfFnNZ2KgB3TDyIlRvqbDa/beMFDGg1A4Cbx3dnQ+7mt9x1aDKPY1rOAuC6cUUj9YG7/czhf5jCempzy8d9odC99j17hsfcuaGW36dPGFRHRERSzN3L/ACaAT8D2wG/F5q3rJj3nA1MAibtsccenlCTJvkwLnEjt8jjV5q4gw/lurjzV9DA3cwvZVjc+W7mbuZn80CReQ1Y7h5arv1Uni4yf1fmFrz/KF4rMn8fZhXM78H7ReZ34IuC+R34osj8HrxfMH8fZhWZfxSvFczflblF5p/K0wXzG7C8yPyzeaBgfrxjcynD3M18Rd2d3Swvf9GCx9Ch4eP59Vf3/fZzX7gwsR+7iIgULzbuRo+zPYrJ5mUc6cTM6gMfAre4+8tm9ru77xAzf5m7l3hdv2PHjj5p0qQtOCURERGRLWTFzShT730zqwW8BIx095ejyQvMrEk0vwmwsLylFBERkeQpS+99Ax4BZrr7nTGzRgMDo+cDgdcSXzwRERFJlLJk5DsI+DMwzcymRNP+CdwKPG9mZxGu8w9ISglFREQkIcrSe38CxV8fODSxxREREZFkUUY+ERGRNKGgLyIikiYU9EVERNKEgr6IiEiaUNAXERFJEwr6IiIiaUJBX0REJE0o6IuIiKQJBX0REZE0oaAvIiKSJhT0RURE0oSCvoiISJpQ0BcREUkTCvoiIiJpQkFfREQkTSjoi4iIpAkFfRERkTShoC8iIpImFPRFRETShIK+iIhImlDQFxERSRMK+iIiImlCQV9ERCRNKOiLiIikCQV9ERGRNKGgLyIikiYU9EVERNKEgr6IiEiaUNAXERFJEwr6IiIiaUJBX0REJE0o6IuIiKQJBX0REZE0oaAvIiKSJhT0RURE0oSCvoiISJpQ0BcREUkTCvoiIiJpQkFfREQkTSjoi4iIpAkFfRERkTShoC8iIpImFPRFRETShIK+iIhImlDQFxERSRMK+iIiImlCQV9ERCRNKOiLiIikCQV9ERGRNKGgLyIikiYU9EVERNKEgr6IiEiaUNAXERFJEwr6IiIiaaLUoG9mj5rZQjObHjMt08w+MbNpZvY/M9suucUUERGR8ipLTf9x4PBC0x4Ghrh7W+AV4PIEl0tEREQSrNSg7+4fAUsLTW4JfBQ9Hwscn+ByiYiISIJt7TX96cDR0fMBwO6JKY6IiIgkS82tfN9gYLiZXQeMBjYUt6CZnQ2cHb1cZWbfbuU2S7ITsDgJ6013Oq7JoeOaPDq2yaHjmjzJOLbTgXUxrx909wcBzN1LfbeZNQPGuHubOPP2AZ52986JKeuWM7NJ7t4xVduvrnRck0PHNXl0bJNDxzV5KvrYblXzvpk1jv5mANcAIxJZKBEREUm8styy9yzwCdDSzOaa2VnAKWY2G5gFzAMeS24xRUREpLxKvabv7qcUM+ueBJelPB5MdQGqKR3X5NBxTR4d2+TQcU2eCj22ZbqmLyIiIlWf0vCKiIikiSod9M3scDP71sy+N7MhqS5PVVZMuuVGZjbWzL6L/jZMZRmrIjPb3cw+MLOZZjbDzC6OpuvYloOZ1TWzz83s6+i43hBN13FNADOrYWZfmdmY6LWOawKY2Zwoff0UM5sUTavQY1tlg76Z1QDuA44AWhE6F7ZKbamqtMcpmm55CPCeu7cA3otey5bJAS519/2ALsAF0fdUx7Z81gO93D0TyAION7Mu6LgmysXAzJjXOq6J09Pds2Ju06vQY1tlgz7QGfje3X9w9w3AKOCYFJepyiom3fIxwBPR8yeAYyuyTNWBu8939y+j5ysJP6RN0bEtFw9WRS9rRQ9Hx7XczGw34EjCGCv5dFyTp0KPbVUO+k2BX2Jez42mSeLs4u7zIQQvoHGKy1OlRUmu2gOfoWNbblET9BRgITDW3XVcE+Nu4AogL2aajmtiOPCOmU2OstVCBR/brU3DWxlYnGm6FUEqJTOrD7wE/N3dV5jF+/rKlnD3XCDLzHYAXjGzIhlDZcuYWT9gobtPNrMeKS5OdXSQu8+LEtyNNbNZFV2AqlzTn8vmA/3sRkgUJImzwMyaAER/F6a4PFWSmdUiBPyR7v5yNFnHNkHc/XdgHKFPio5r+RwEHG1mcwiXTHuZ2dPouCaEu8+L/i4kDEvfmQo+tlU56H8BtDCzPc2sNnAyYfAfSZzRwMDo+UDgtRSWpUqyUKV/BJjp7nfGzNKxLQcz2zmq4WNm9YDDCBlCdVzLwd2vcvfd3L0Z4Tf1fXc/HR3XcjOzbc2sQf5zoA9hYJwKPbZVOjmPmf2JcP2pBvCou9+S2hJVXVG65R6EEZ8WANcDrwLPA3sAPwMD3L1wZz8pgZkdDIwHprHpGuk/Cdf1dWy3kpm1I3R6qkGovDzv7jea2Y7ouCZE1Lx/mbv303EtPzNrTqjdQ7i0/oy731LRx7ZKB30REREpu6rcvC8iIiJbQEFfREQkTSjoi4iIpAkFfRERkTShoC8iIpImFPRFRETShIK+iIhImlDQFxERSROVPuib2VAz+9XMpkSPW83sXDM7o4LLMT6mDPPM7NU4y2SZ2SdmNsPMpprZSWVYb+H9m5KfXnQLyzfIzO4tZZlmZnZqzOuOZjZ8S7e1heUaYGYzzeyDZG6nrCpin2O29Xcz26Yqb8fMxplZx1KW6WFmY6LnR5tZysZaL668Zfn/KLR82n5PzGzf6HfoKzPbq4TlVkV/m5nZ9HKWbVcze7E865CyqSqj7N3l7sOSsWIzqxGN1lUidz8k5j0vET8/8hrgDHf/zsx2BSab2dvRgCAlSdr+FdIMOBV4BsDdJwGTkrzNs4Dz3X2rgn5ZP5+yqqB9zvd34GnC96I6bKdU7j6aajAGRpp/T44FXnP365NcngLRQDQnVNT20lmlr+nHE9WOL4ued4pq1Z+Y2R35Z5yFz+zNbEz+UJFmtsrMbjSzz4CuZna6mX0end0+YGY1Sth2A6AXIS/9Ztx9trt/Fz2fRxgtaeet3MfPzKx1zOtxZtbBzBqZ2avRPn8a5SAv/N7HzeyEmNeroqe3AodE+/mPQjW0uOuNjvWj0fZ/MLO/FVPeU8xsmplNN7PbomnXAQcDI8zsjkLLZ5jZ/VGryBgzeyO/zGY2x8yuM7MJwIBi1l0j2s/p0bx/RNP/ZmbfRPsxKk45Y/c57r6Z2W1mdn7Me4aa2aXR88vN7Ito/TdE07Y1s9fN7OuoPCdF69oV+MCiVo7oe3ebhbG03zWzzjHbPjpmv+6I2cY5MeUeZ2YvmtksMxtpQZHtFNrf66J1TTezB83CmL7Rum6LvvezzeyQaHo9MxsVbfs5oF4xn/fhUTkmAP1jphf831lo5ZkeHZePYua/ZmZvmdm3ZnZ9zHsviZafbmZ/L+7YlrRfkdPNbGI0r3Ocsu9sZi9F7//CzA5K9+9JzD78iXBy8JeY8hT5XEp4f10ze8zC/+RXZtYzmv6GbfpN+crCbwNmdpOZ/cViWgui78jL0XfkOzO7PWb9Z0Xf13Fm9pDFab2JjtfEaDsTzaxlaetNK+5eqR/AUOBXYEr06BtNuyyaPx04MHp+KzA9ej4IuDdmPWOAHtFzB06Mnu8H/A+oFb2+n1BbL648ZwAvlqHcnYGZQMYW7t8H0fR/ADdEz5sAs6Pn/wGuj573AqYU3l/gceCEmG2siv72AMbETC94XcJ6hwITgTqEwXiW5B+rmPXsShgoYmdC69H7wLHRvHFAxzj7fQLwBuHE8w/AsvwyA3OAK0paN9ABGBuzvh2iv/OAOrHTCm03dp/j7hvQHvgw5j3fEAbD6AM8CFhU7jFAN+B44KGY5beP2Y+dYqY7cET0/BXgnWh7mTHH+2zgmuh5HUJtc8+o3MsJQ0hnAJ8AB8fbTqH9bRTz/CngqJjP5d/R8z8B70bPLyEMXgXQDsgp/PkBdYFfgBbRsXg+5pgOYtP3cBrQtNDnMwiYD+xIOKGYDnSMPs9pwLZAfWBG9DkUd2xL2q+HoufdiPN7QGjpyj92exBGQEzr70mc36T839e4n0uh35VmMcf5UuCx6Pm+hP/dusAQ4AJgO8IIqW9Hy3wAtCy0jkHAD8D20Xt/Igyjvmu0D42i4zGemN/4mPJvB9SMnh8GvFTSeks7HtXtUVVq+ne5e1b0eDt/ooVr3w3cfWI06Zkyri+XML45wKGEL/YXZjYlet28hPeeAjxb0sotjIn8FHCmu+eVtGwkdv96RtOeBwZEz08EXoieHxytG3d/H9jRzLYvwzZKU9J6X3f39e6+mNB6sUuh93YCxrn7InfPAUYSfuRK294L7p7n7r8R/vljPVfKun8AmpvZf8zscGBFtPxUYKSZnU4IWKUpsm/u/hXQ2MJ1xkxgmbv/TPgx7wN8BXxJ+FFrQfhRPCyqnR3i7suL2dYG4K3o+TRCwNgYPW8WTe8DnBF9Fz8jBMcW0bzP3X1u9J2aEvOekvS00Go0jXAy1zpm3svR38kx6+pGaALG3acSjmdh+wI/uvt3Hn5Nny5m2x8Dj5vZXwmj4eUb6+5L3H1tVIaDo8cr7r7a3VdF0w+h+GNb0n49G5X/I2A7K9pH5jDg3ugYj46WaVDMPuSr7t+T4hT3uZS0fP7vyCxCYN2HEKC7RfNfB+pb6F/QzN2/jbOe99x9ubuvI5xM/ZFQkfrQ3ZdGx+OFOO+DENRfiFoO7mLz70a89aaVqnJNvzhWwrwcNr98UTfm+TrfdJ3YgCfc/apSNxaGQOwMHFfCMtsRvtTXuPunpa2zOO7+q5ktiZrETgLOiSlvkcULvS7YdzMzoHYZNlnSetfHTMul6PempM9hS7YXa3VJy7n7suiHti+hBnEiMBg4kvDjcjRwrZm1jk4WilPcvr1IaI34A5B/mcCAf7n7A0V2xqwDocb8LzN7x91vjLOtjVGQhDDM7vpoX/LMLH+7BlwUe3Ibrb9HCWWNy8zqElquOrr7L2Y2lM3/D/LXV3hdZRl6s9Rl3P1cMzuA8JlMMbOsYt7rFP85zy58bIHbKXm/4q0/VgbQNTrpKKtq+z0pxZb+bxe3/BeEFp0fgLGEFpO/Ek4444m3D2Uty02EFtPjzKwZofWnpPWmlapS04/L3ZcBK82sSzTp5JjZc4AsC9eOdycE63jeA04ws8ZQcG27uLO/AYQmv3XxZppZbUJz3JPuXtxZ6JYYBVxBaAacFk37CDgt2l4PYLG7ryj0vjmE1guAYwhNYQArgeJqNGVZb3E+A7qb2U4W+kOcAnxYynsmAMdHn88uhGbJMq/bzHYiXDp5CbgW2N/MMgjNdR8QjtsOhCbJrTGK8H06gfDDDvA2MNjM6gOYWVMza2yh0+Yad38aGAbsHy1f0vEuztvAeWZWK9rGPma2bSnvKW47+YFwcVTmsnSUiv0etCE08Rc2C9jTNvXsPiXeisxsL3f/zN2vAxYTmmgBekf/Z/UIl2o+jrZ7rJltE+3vccD4Yo5tafuVf93/YGB5nBr1O8CFMeXMKu5glEGV/Z6Y2ZMWp89DIXE/l1KWz//+7EO43PGtu28gXBI6Efg0WsdlpayrsM8JvwUNo5Of44tZbnvCJVMITfoSozqc5ZwFPGRmqwlndPn/4B8DPxKaxKYTmtmKcPdvzOwa4J0oaGwk1Bx/irP4yYR+AwUs3B50rrv/hfCF7kZoGh8ULTLI3aeUsg//iJqj8x3r7nMIPyL3EM5c8w0FHjOzqYReuAPjrO8h4DUz+5xwUpNfa54K5JjZ14Tr/l9t4Xrjcvf5ZnYVoYnegDfcPd7dDbFeIlxKmQ7MJgT3Is2dxa07quU/Fn1mAFcRmpCfji5LGOGyye9l3Y9C250RNfn+6u7zo2nvmNl+wCehAYVVwOnA3sAdZpZH+P6cF63mQeBNM5sfc9mmNA8TmmO/jFppFhECY0nibsfdfzezhwj/A3MIta3S/JdN34MphB/azbj7OjM7G3jdzBYTTuDaxFnXHWaWf93/PeBrICta/inCcXvGQ095zOzxmO097O5fmVlfCh3bMuzXMjObSLi2OzhOuf4G3BftY01CoDq3lOMSVxX/nrQj9K8oaf++jPe5lPCW+wkdd6cRWhwHuXt+7Xo8cKi7rzGz8YR+B2UO+lHr5/8RfivmEZrn410iuR14wswuIfQBkhi2qRWpajKz+tG1JizcH9zE3S9OcbGkDPI/OwuXTT4HDoqu70s1FZ0Md3T3C0tbVpLHwmXIR9x9QKkLVyIxvxk1Ca2qj7r7K6kuV1VSHWr6R0Y1wZqE2vmg1BZHtsAYC52sagM3KeCLVIzo0l2VCviRoWZ2GOESzzvEuXVaSlbla/oiIiJSNpW+I5+lIOVueVkFpJS0kPL3T8nchmxS+HhbitPNJoOFpEg7Rc8nRn+bWUzq5hSUaYuPs5m5mT0V87qmmS2yKNnOFqyn4Hhs6TLR9GkWEmFNM7NjylI+CxabWcNoXpNo+YNjll8UXRIT2WKVPui7+wh3f7K867ESsuwlmrvPc/dkp5TMItz6IxUji5jj7e6j3f3W4hev2tz9wOhpM0Lq5i2SqP+3rTzOq4E2Fu4OAOjNpt7cFamnu2cRevbH5vEvtnzRrXqfAV2jeQcSOtweCGAhu9xid1+S9NJLtVTpg75tnnK3uNShNcxsWHRGPdXMLoqmz7HN07n2sZCu90sze8E23VJTXKrSIildLaTSfDRa/qvYM/iYMpcppWSh95SULrVj9HynaJ9qAzcCJ0U1iZNsC9PoRmWcZWYPR9scaWaHmdnHUTk7R8uVtN7LYso/PVpn3LSphfZ1bwvpRb+OPou9ohrOHbYprW7+bVdx04pG826N+XyGRdMetzgpiKP1fGhmz0ffnVvN7LTouzTNotvPovePsDDA0mwz61fM8R5km9LN/tHM3ovK8Z6Z7RGzruEWUoH+EFuuQsejSBpo25Reum50TGeYWZtoPz4ys1eifR9h0R0MVvz3e46Z3RBNn2Zm+0bTdzSzdyx8jx8g5j5oKz51c8F+R8ttUXprKyZ9cnEKHecyHc/Im4T8AFAooZYV/50u6XiUOVV3HNsRMk6WqXyEO4/yT7oOBO5k85OAiYhsLa8EaQFLerB5SshxxE8deh7hFrD81IuNor9z2JTOdSfCrTnbRq+vBK6LXT56HpvSs0hKV+D/gNPzpxFuN9u2UJmbUUpKyTj7WVJa0Y4x+zAnZr2xaYa3KI1uVMYcoC3h5G8y8Cjhh+4Y4NUyrPeymO1Pj9YZN9VooX39DDguel4X2CZ631jCbXe7ENJ3NqGYtKKEVJzfsqlfSv7n8zjFpyD+PVpnHULNKj/N8cXA3THvfyvaVgtgblTGwse74DUhjfPA6PngmGP3OCFrWAbQCvg+zrEoNg00cDPhfu77gKti9mMdIWtkjeiYnUDJ3+85hEQuAOcTbruCUPvMX+ZIQhKbneIctzHx9jt6vUXprSkmfXIJ//+xx7nU45lfdsLtaC9Gn90UNk+rW9x3Ou7xKOUzmkOc1LbR9PzbhdcA/bagfD2A96Pn4wm5JiZFrx8CBifit1WP9HxUxd778VKHHgaM8CjzmrsvjVk+P51rF8IPxcdRRbE2IYAA9DSzKwjBpxEhv/T/2JTS9VU29RLtAxxtm2q5dYnyd5dQ5vc8ShBiZvmpH38ptExxZSirg4mSVbj7+1GtZbM0usB6M4tNo/ujR0l/zGxGVE63cI9tszKsN55pwDALA+OMcffN7sO1cE9zU49us/Eo0ZGFa5bPesiUuMDMPiSk4F1BlFY0Wm5KVLZPCcHvYTN7nRB8SvOFR/dSm1k2ofdvfplj749+3kMK0+/M7AdCGtWSdGXToDNPEe4TzvdqtK5vLCQhKiw2DTSEfPQLo3k3Eu5BX0e4tzzf5+7+Q7QfzxI+o3UU//2Gzf9v8svaLf+5u79uZoVro1uquPTWsfv1P6L0yYTMle/EWU9JSjueQEghbCEb2ymEMR5iFfedLu54lPQZlaSnuy+20Ir0npmN8+j24lLK9znQ3kIynFoeblH7wcz2JtT0/12GbYvEVRWDfrzUoUbxaUFj07mOdffNsodZyalKi6R0jdZzvMfPF11amQuXuyxliE0nHJtqtLCtSaMbOz0v5nUemx/beOuNm+bY46RN9c1TjRaXSrOkFJtFyu/uORYuQRxKSJp0IaHWVlIK4rLsb/7+UcLr0sQuH7vNePtYUhroRoRaXi3C8c3/LheXxrbI9ztOObYm5W6scqe3tvjpk8uqtOMZazShpaQHITd9Se/zQn9jlTlVdzzunm1mCwgnZbHJjuKWz0Pymu8JxyU/qdinhP+pxoQWLpGtUumv6ZfRO8C5FuWlNrNGcZb5FDgoOlvGQlrJfSgmpacVn9L1beCiKKBgZu0TUP6S0orOYVNK3djphVN3lieNbkmKW+8cojSiZrY/YYQvrPhUo0DB/cFzzezYaPk6Fgbe+IhwzbyGme1MONkqkg0uX3Sctnf3NwhDgWZFs+YQPwXxlhhgIT3wXoRm9G8pOVXqRDalgD6NkHGurEpKA/0gIcXwSOC2mPd0NrM9o+/oSdH2ivt+lyT2sz0CaBhnmcL7PYdypLe2OOmTo/kXmlmiE/Y8Ctzom1JY5yvuO13c8diSVN1FRO/bk6JZPosrH4Tr+n9nU2vNJ4TLUJ+6u+6zlq1WFWv68TxMGMlpqpltJFz32mycZXdfZCEb2LNmVieafE1UM42X0jNuSlczuwm4O9qWRe/pV57Ce8lpRYcBz5vZn9k8peQHwJCouftflCONbimKW+9LbBrl6wtC3wYIfQTipRqN9WfgATO7MVpmACG7VldCqlYn9MX4zaJOZ3E0IKQarkv4fPI7hBWXgnhLfEsYO2AXQorldRbGFo893rH+BjxqZpcT0qGeWdYNeTFpoM2sO5Dj7s9Y6DQ20cx6EVolPiF0sGtLCFSveBiMZRCFvt9s+lziuSFa/stof3+Os0zh1M13U7701mspmj4ZwiWUj0so6xaLLgndE2fWUOJ/p+MejxL2JV6q7lgfmFku4cRziLsvKGP5IByLi9kU9L8k9Gt5uJRtipRIyXlEYljIMz7G3ZOaZ2FrRTXTy9y9XCealY2Fe+j7exiYRUSSpLrU9EWkCqtuJzEilZVq+iIiImmiunTkExERkVIo6IuIiKQJBX0REZE0oaAvIiKSJhT0RURE0oSCvoiISJr4f07x3G6djI5+AAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "caption = '''\n", " Figure 7.2 Evolution of gross investment and disposable investment, following an\n", " increase in autonmous consumption expenditures, in Model BMW'''\n", "iddata = [s['Id'] for s in alpha0.solutions[5:]]\n", "dadata = [s['DA'] for s in alpha0.solutions[5:]]\n", "\n", "fig = plt.figure()\n", "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n", "axes.tick_params(top='off', right='off')\n", "axes.spines['top'].set_visible(False)\n", "axes.spines['right'].set_visible(False)\n", "axes.set_ylim(19, 24)\n", "\n", "axes.plot(iddata, linestyle='-', color='r')\n", "axes.plot(dadata, linestyle='--', color='b')\n", "\n", "# add labels\n", "plt.text(22, 23, 'Gross investment')\n", "plt.text(19, 21, 'Replacement investment')\n", "plt.text(19, 20.7, '(capital depreciation')\n", "fig.text(0.1, -.05, caption);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###### Scenario: Model BMW, increase in propensity to save out of disposable income" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "alpha1 = create_bmw_model()\n", "alpha1.set_values(bmw_parameters)\n", "alpha1.set_values(bmw_exogenous)\n", "alpha1.set_values(bmw_variables)\n", "\n", "# run to convergence\n", "# Give the system more time to reach a steady state\n", "for _ in range(15):\n", " alpha1.solve(iterations=200, threshold=1e-6)\n", "\n", "# shock the system\n", "alpha1.set_values({'alpha1': 0.74})\n", "\n", "for _ in range(40):\n", " alpha1.solve(iterations=100, threshold=1e-6)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###### Figure 7.3" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "caption = '''\n", " Figure 7.2 Evolution of household disposable income and consumption, following\n", " an increase in the propensity to save out of disposable income, in Model BMW'''\n", "yddata = [s['YD'] for s in alpha1.solutions[5:]]\n", "cddata = [s['Cd'] for s in alpha1.solutions[5:]]\n", "\n", "fig = plt.figure()\n", "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n", "axes.tick_params(top='off', right='off')\n", "axes.spines['top'].set_visible(False)\n", "axes.spines['right'].set_visible(False)\n", "axes.set_ylim(160, 183)\n", "\n", "axes.plot(yddata, linestyle='-', color='r')\n", "axes.plot(cddata, linestyle='--', color='b')\n", "\n", "# add labels\n", "plt.text(13, 170, 'Consumption')\n", "plt.text(21, 165, 'Disposable income')\n", "fig.text(0.1, -.05, caption);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###### Figure 7.4" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "caption = '''\n", " Figure 7.4 Evolution of the output to capital ratio (Y/$K_{-1}$), following an\n", " increase in the propensity to save out of disposable income, in Model BMW'''\n", "data = list()\n", "for i in range(5, len(alpha1.solutions)):\n", " s = alpha1.solutions[i]\n", " s_1 = alpha1.solutions[i-1]\n", " data.append(s['Y'] / s_1['K'])\n", "\n", "fig = plt.figure()\n", "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n", "axes.tick_params(top='off', right='off')\n", "axes.spines['top'].set_visible(False)\n", "axes.spines['right'].set_visible(False)\n", "axes.set_ylim(0.93, 1.01)\n", "\n", "axes.plot(data, linestyle='-', color='b')\n", "\n", "# add labels\n", "plt.text(21, 0.975, 'Output to capital ratio')\n", "plt.text(21, 0.971, '(a proxy for the output')\n", "plt.text(21, 0.967, 'to capacity ratio)')\n", " \n", "fig.text(0.1, -.05, caption);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###### Figure 7.5" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "caption = '''\n", " Figure 7.5 Evolution of the real wage rate(W), following an increase in the propensity\n", " to save out of disposable income, in Model BMW'''\n", "data = [s['W'] for s in alpha1.solutions[10:40]]\n", "\n", "fig = plt.figure()\n", "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n", "axes.tick_params(top='off', right='off')\n", "axes.spines['top'].set_visible(False)\n", "axes.spines['right'].set_visible(False)\n", "axes.set_ylim(0.846, 0.863)\n", "\n", "axes.plot(data, linestyle='-', color='b')\n", "# add labels\n", "plt.text(15, 0.854, 'Real wage rate')\n", " \n", "fig.text(0.1, -.05, caption);" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.8.13" } }, "nbformat": 4, "nbformat_minor": 1 }