{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Monetary Economics: Chapter 4" ] }, { "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", "import matplotlib.pyplot as plt\n", "\n", "from pysolve.model import Model\n", "from pysolve.utils import is_close,round_solution\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Model PC" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "def create_pc_model():\n", " model = Model()\n", "\n", " model.set_var_default(0)\n", " model.var('Bcb', desc='Government bills held by the Central Bank')\n", " model.var('Bh', desc='Government bills held by households')\n", " model.var('Bs', desc='Government bills supplied by the government')\n", " model.var('C', desc='Consumption goods')\n", " model.var('Hh', desc='Cash held by households')\n", " model.var('Hs', desc='Cash supplied by the central bank')\n", " model.var('R', desc='Interest rate on government bills')\n", " model.var('T', desc='Taxes')\n", " model.var('V', desc='Household wealth')\n", " model.var('Y', desc='Income = GDP')\n", " model.var('YD', desc='Disposable income of households')\n", "\n", " model.param('alpha1', desc='Propensity to consume out of income', default=0.6)\n", " model.param('alpha2', desc='Propensity to consume out of wealth', default=0.4)\n", " model.param('lambda0', desc='Parameter in asset demand function', default=0.635)\n", " model.param('lambda1', desc='Parameter in asset demand function', default=5.0)\n", " model.param('lambda2', desc='Parameter in asset demand function', default=0.01)\n", " model.param('theta', desc='Tax rate', default=0.2)\n", "\n", " model.param('G', desc='Government goods', default=20.)\n", " model.param('Rbar', desc='Interest rate as policy instrument')\n", " \n", " model.add('Y = C + G') # 4.1\n", " model.add('YD = Y - T + R(-1)*Bh(-1)') # 4.2\n", " model.add('T = theta*(Y + R(-1)*Bh(-1))') #4.3, theta < 1\n", " model.add('V = V(-1) + (YD - C)') # 4.4\n", " model.add('C = alpha1*YD + alpha2*V(-1)') # 4.5, 0" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "caption = '''\n", " Figure 4.1 Money demand and held money balances, when the economy is subjected\n", " to random shocks.'''\n", "hddata = [s['Hd'] for s in shocks.solutions[25:]]\n", "hhdata = [s['Hh'] for s in shocks.solutions[25:]]\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(min(hddata+hhdata)-2, max(hddata+hhdata)+2)\n", "\n", "axes.plot(hhdata, 'b')\n", "axes.plot(hddata, linestyle='--', color='r')\n", "\n", "# add labels\n", "plt.text(13, 35, 'Held money balances')\n", "plt.text(13, 34, '(continuous line)')\n", "plt.text(16, 12, 'Money demand')\n", "plt.text(16, 11, '(dotted line)')\n", "fig.text(0.1, -.05, caption);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###### Figure 4.2" ] }, { "cell_type": "code", "execution_count": 8, "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 4.2 Changes in money demand and in money balances held (first differences),\n", " when the economy is subjected to random shocks. '''\n", "hddata = [s['Hd'] for s in shocks.solutions[24:]]\n", "hhdata = [s['Hh'] for s in shocks.solutions[24:]]\n", "for i in range(len(hddata)-1, 0, -1):\n", " hddata[i] -= hddata[i-1]\n", " hhdata[i] -= hhdata[i-1]\n", "hddata = hddata[1:]\n", "hhdata = hhdata[1:]\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(min(hddata+hhdata)-2, max(hddata+hhdata)+2)\n", "\n", "axes.plot(hhdata, 'b')\n", "axes.plot(hddata, linestyle='--', color='r')\n", "\n", "# add labels\n", "plt.text(13, 20, 'Held money balances')\n", "plt.text(13, 18, '(continuous line)')\n", "plt.text(15, -18, 'Money demand')\n", "plt.text(15, -20, '(dotted line)')\n", "fig.text(0.1, -.05, caption);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Scenario: Model PC, Steady state with increase in interest rate" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "rate_shock = create_pc_model()\n", "rate_shock.set_values({'Bcb': 21.576,\n", " 'Bh': 64.865,\n", " 'Bs': 86.441,\n", " 'Hh': 21.62,\n", " 'Hs': 21.62,\n", " 'V': 86.485,\n", " 'alpha1': 0.6,\n", " 'alpha2': 0.4,\n", " 'lambda0': 0.635,\n", " 'lambda1': 5.0,\n", " 'lambda2': 0.01,\n", " 'G': 20,\n", " 'Rbar': 0.025})\n", "# solve until stable\n", "for i in range(50):\n", " rate_shock.solve(iterations=100, threshold=1e-5)\n", " if is_close(rate_shock.solutions[-2], rate_shock.solutions[-1], atol=1e-4):\n", " break\n", "\n", "rate_shock.parameters['Rbar'].value = 0.035\n", "\n", "for i in range(40):\n", " rate_shock.solve(iterations=100, threshold=1e-5)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###### Figure 4.3" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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ddgnKB3DTTfDxx9XLvueewXyAq6+Gzz+vvnznzvC73wXTl10GX31VPb1bt+D4AVx4IXz3XfX0Xr3gl78Mpn/+c1i3rvr2+/aFCy6Aigo480xqOPHEYLlVq2Dw4JrpZ54ZnB/LlsHFF9dMHzwYjj0WFi+Gyy+vmX7JJdCnT3BcrrmmZvqvfw09e8LMmXDjjTXT/+//YP/94b334I9/rJl+663B/89bb8Hdd9dM//Ofg3Pz1VerzoN4f/sb7LQTPPssPPZYzfRHHoFttw3O+6eeqpk+bhw0awYPPljzC7NRo2C9EJyj48dXT8/LC9YLwbn1zjvV01u3DtYLwTn0/vvV09u1g7/+NZi+5hqYN696eseOwXohOLcWLqyeXlhYdW5edBH873/V0w88sOozO/fcmudecXHV917//rB2bfX0o48OvhsqKuCUU6jhlFNg4MDg3DvnnJrp55wDp58enHsXXFAz/YIL4Pjjg/+pX/2qZvpdd0H79jXn160o1/6/Ai8CS4GtgTPcfb2ZbWjcAEQLSJJdDpNeAs2sN0FAckjc7J7uvtTMdgDeMLOP3H1ikmUvBC4EaNq0aYRiRff99zXPz3Tiv8dTTW9Om7q92oKWsjL49FM4++zg/yqplSuDi1WnTlX/mH/+cxA4xLvkkiAgqaiA006ruZ4rrwwCitJSGDSoZvrNNwcBybffButK9Je/BMv/739VF694rVsHAcnixXDttTXT99mnKiCJfUGZVb0OOSQISD79FO64o2b6CScEX/offxxEsrH02N/Bg4OAZN48GDWqZvoVVwRlnDcvCCoS02+6KQhI5s0LgpLED+4vfwn+fvhhVcASy5OTU5Xvww/hzTerL9uyZdX0nDkwYUL15Xfeufry775bffmf/axqeu5cmDGj6r1ZEGTGp8+fX335Jk2qpy9ZUj29devq5Vuxovr+x3/hzplTfXtmQcADwT/Fh0lqfg86KPhbUZE8fdmy4G95OXz0Uc30b8NK3rVrq4KxeLGL2Jo1ydNXrQr+rl4dnF+JysqCv6WlydNXr65az4IFNdNjF8nvv0+eHgvgVq5Mnr5+ffD3229rXtCh6stmxYqa6fHn3jff1Ezfeuuq6a+/rpke2zcIAtXE9EZxlfVfflkzvUWL6umJwfBOO1VNL11a89zbc8+q6SVLqj7rmG++qZpevLj6uQfBMYHgGCVuG4JjDsExTpYeO3cqKpKnx75ny8uTp8c+282vcULbzpFxlQZRrv1HASXA4cCeBNf4tyMuW0OUNiQHEbQJOSp8fw2Au9+WkK8AeA442t2T/LeCmQ0HVrn7HbVtU21INq9Zs4IfEE8/HfxATOqLL4JfKQ88EPx6jSkvD75MSkuDV15e8M/vDrNnB18kZsHfRo2CX+Ft2gT/eIsWVV3oY/latoRttgnSly2rnmYWrH+rrYL0VauqBwtmwS+4xo2Df/x166qnQVU53OuuKktEZAuQpg1J2mu/mb0M3O7ub4fv/w1cDeSkWzaZKDUk04COZrYH8AVwJnB2QsF3A54FBsQHI2aWBzRy9x/C6b7ATRG2KZtRXni6xX6gJRVLzM2tPr9x4+DXT/wvIAgu9gUFqdeXkwMdOtSeHv+rJll6/C/+RI0aBcFJKgpGREQ2RdprP/A50Ad428x2BPYGFgArIyxbQ9qAxN3LzWwo8BpB1POwu881syFh+v3A9cD2wH1B2xbK3f0AYEfguXBeY+AJd/9Xum3K5hWLMWqtdIol5iUNlkVEJItEvPbfDIwys9kEt2muij1Rm2zZdNtMe8smE3TLZvP6/vugsuFPfwra3SX1ySdBo69rrgkanoqIyBattls2mRDllo38xDVvHvyt9ZZNx45BIxMREZEMUNfxWaBJk+ClSicREWmoFJBkiby8NDUk//hH8IRMsscRRURE6pgCkiyRm5umhuT774Nn82t7ckVERKSOKCDJEmlrSFI99isiIlIPFJBkidzciAGJHvsVEZEMUECSJdLesikrq+oJVUREpJ4pIMkSaW/ZFBYGAzyph1MREckA9UOSJXJzq8YWS+rUU2sZ6EZERKRuqYYkS6StIYmNBCoiIpIBCkiyRNpGraefDkVF9VWcBu3WW29lv/32o6CggKKiIqZMmQJA+/btWb58ecbKNWzYMPbbbz+GDRtWbf7w4cO5446aA2gvXbqU0047DYAJEyZw3HHHATBq1CiGDh0aaZvx6xARqUu6ZZMl0jZqLS2Fpk3rrTwN1eTJk3nppZd4//33adasGcuXL2ft2rWbvN7y8nIaN960f7cHHniAZcuW0Sxiw+NddtmFpzdxOIDNsQ4RkShUQ5IlIvVDokd++fLLL2ndunXlRb9169bssssulen33HMP+++/P/n5+Xz00UcATJ06lYMPPpguXbpw8MEHM3/+fCCoiejfvz/HH388ffv2pbS0lPPOO49u3brRpUsXXnjhhRrbd3eGDRtG586dyc/PZ9y4cQCccMIJlJaW0qNHj8p58WbOnMnhhx9Ox44d+fvf/w7AwoUL6dy5c637+9RTT9G5c2cKCwvp1atXjfT4dYwaNYpTTjmFfv360bFjR6688sq0x1NEJCrVkGSJ3FxYuxbKyyHpD/XSUthxx3ovV0PTt29fbrrpJvbaay+OOOIIzjjjDA477LDK9NatW/P+++9z3333cccdd/Dggw+yzz77MHHiRBo3bsybb77J7373O5555hkgqHGZNWsWrVq14ne/+x2HH344Dz/8MCtXrqR79+4cccQR5MUFgs8++ywlJSXMnDmT5cuX061bN3r16sWLL75IixYtKCkpSVruWbNm8d5771FaWkqXLl049thjI+3vTTfdxGuvvUbbtm1ZuXJl2vwlJSV88MEHNGvWjL333ptf/epX7LrrrpG2JSJSG9WQZInYNS9lLUlZmXppBVq0aMGMGTMYOXIkbdq04YwzzmDUqFGV6aeccgoAXbt2ZeHChQB899139O/fn86dO3PFFVcwd+7cyvxHHnkkrVq1AuD111/n9ttvp6ioiOLiYtasWcPnn39ebfuTJk3irLPOIicnhx133JHDDjuMadOmpS33iSeeSPPmzWndujW9e/dm6tSpkfa3Z8+eDBo0iL///e9UVFSkzd+nTx9atmzJVlttRadOnVi0aFGk7YiIpKMakiwRizXKymCbbZJkGDAA2rat1zI1VDk5ORQXF1NcXEx+fj6jR49m0KBBAJW3cnJycigvLwfguuuuo3fv3jz33HMsXLiQ4uLiynXF1364O8888wx77713ym27+0aV2RL6j0l8n8r999/PlClTePnllykqKqKkpITtt98+Zf749ivxx0BEZFOphiRLxAKSlA1br7kGzj233srTUM2fP59PPvmk8n1JSQm77757rct89913tA2DufjalERHHXUU99xzT2XQ8cEHH9TI06tXL8aNG0dFRQXLli1j4sSJdO/ePW25X3jhBdasWcM333zDhAkT6NatW9plAP773//So0cPbrrpJlq3bs3ixYsjLScisrmphiRLpL1l8/33QdSyiU+C/NStWrWKX/3qV6xcuZLGjRvzs5/9jJEjR9a6zJVXXsnAgQP585//zOGHH54y33XXXcfll19OQUEB7k779u156aWXquU5+eSTmTx5MoWFhZgZf/zjH9lpp53Slrt79+4ce+yxfP7551x33XXssssulbeUajNs2DA++eQT3J0+ffpQWFiYdhkRkbpgG1tFXJfy8vK8tNZnVGVDvfoqHHMMTJ4MBx6YkLh+PeTkwPXXw403ZqR8IiJSv8yszN0bzOOVumWTJWqtIVmzJvirRq0iIpIhCkiyRHyj1hpitVHqh0RERDJEAUmWqLVRayxKUQ2JiIhkiAKSLFHrLZtYlKKAREREMkQBSZaotYakVSsYPhwKCuqzSCIiIpUUkGSJWtuQ7LQT3HADdOpUr2VqiKKM/1JXWrRosUH5U43yW5f78Je//IWyuJPoqaeeYt9996V3794pl4kfafjFF1/k9ttvr5OyichPmwKSLNG8efA3aUBSVgZLlwYD3YikUFFRUSMgeeihh7jvvvt46623Iq3jhBNO4Oqrr66rIorIT5gCkizRqFEQlCS9ZfPqq0G38R9+WO/laogqKir4xS9+wX777Uffvn1ZvXo1EPTaeuCBB1JQUMDJJ5/Mt99+C0BxcTHTp08HYPny5bRv3x6AuXPn0r17d4qKiigoKKjsAfbxxx+vnH/RRRdVG0Pm2muvpbCwkAMPPJCvvvoKgEWLFtGnTx8KCgro06dPjfFvAGbMmEFhYSEHHXQQ9957b9L9mjBhAr169eLkk0+mU6dODBkyhPXr1wMwduxY8vPz6dy5M1dddVXlMi1atOD666+nR48e3HrrrSxdupTevXvTu3dvbrrpJiZNmsSQIUMYNmwYa9asYfDgweTn59OlS5ekQcqoUaMYOnRorfuVbgRiEdkyKSDJInl5tdSQxDIIn3zyCb/85S+ZO3cu2267beXIveeeey5/+MMfmDVrFvn5+dyYphO5+++/n8suu4ySkhKmT59Ou3btmDdvHuPGjeOdd96hpKSEnJwcxowZA0BpaSkHHnggM2fOpFevXvz9738HYOjQoZx77rnMmjWLc845h0svvbTGtgYPHszdd9/N5MmTay3T1KlT+dOf/sTs2bP573//y7PPPsvSpUu56qqr+Pe//01JSQnTpk3j+eefryxT586dmTJlCtdffz277LILb731Fm+99RbXX389BxxwAGPGjGHEiBGVgdDs2bMZO3YsAwcOZE2sj5skUu1XbATimTNn8uKLL9a6PyKy5VBAkkVyc1PUkOgpm2r22GMPioqKgKpRfb/77jtWrlzJYYcdBsDAgQOZOHFires56KCD+P3vf88f/vAHFi1aRPPmzRk/fjwzZsygW7duFBUVMX78eBYsWABA06ZNK9taxI8mPHnyZM4++2wABgwYwKRJk6ptJ7FsAwYMSFmm7t2706FDB3JycjjrrLOYNGkS06ZNo7i4mDZt2tC4cWPOOeecyn3Lycnh1FNPjXTcJk2aVLntffbZh913352PP/44Zf5U+7WhIxCLyJYhuwcuyTK5uaohiSJxRNvYLZtUGjduXHnrI75G4Oyzz6ZHjx68/PLLHHXUUTz44IO4OwMHDuS2226rsZ4mTZpUjtJb20i6iSP5unvk0X2TjQpc2/ARW221FTk5OZHWvanDUMTKtqEjEIvIlkE1JFkk7S0b1ZCk1LJlS7bbbjvefvttAB577LHKGon27dszY8YMAJ5++unKZRYsWECHDh249NJLOeGEE5g1axZ9+vTh6aef5uuvvwZgxYoVLFq0qNZtH3zwwTz55JMAjBkzhkMOOaRa+rbbbkvLli0raxhit4CSmTp1Kp999hnr169n3LhxHHLIIfTo0YP//Oc/LF++nIqKCsaOHVu5b4m23nprfvjhh6RpvXr1qtz2xx9/zOeff87ee++9wfulEYhFspNqSLJIyls2RxwRtHjN8pF+0xk9ejRDhgyhrKyMDh068MgjjwDw29/+ltNPP53HHnus2mi/48aN4/HHH6dJkybstNNOXH/99bRq1YpbbrmFvn37sn79epo0acK9997L7rvvnnK7d999N+eddx4jRoygTZs2lduN98gjj3DeeeeRm5vLUUcdlXJdBx10EFdffTWzZ8+ubODaqFEjbrvtNnr37o27c8wxx3DiiScmXf7CCy/k6KOPZuedd67RaPWSSy5hyJAh5Ofn07hxY0aNGlWttinqfmkEYpHspNF+s8jRR8OKFTBlSqZLIpkwYcIE7rjjDl566aVMF0VEGgCN9isZk7KGZMkS+Oyzei+PiIhIjGpIssiAAfDOOxA+1FHl7LNh2jQI+8kQEZEtn2pIJGNqbdSqBq0iIpJBCkiySK39kOiRXxERyaBIAYmZ9TOz+Wb2qZnVGIjCzM4xs1nh610zK0xIzzGzD8xMrekyKFZDUuMunWpIREQkQYRr/zAzKwlfc8yswsxahWmXhfPmmtnlUbaXNiAxsxzgXuBooBNwlpklDgv7GXCYuxcANwMjE9IvA+ZFKZDUndxcWL8efvwxIUE1JCIiEifKtd/dR7h7kbsXAdcA/3H3FWbWGfgF0B0oBI4zs47pthmlhqQ78Km7L3D3tcCTQLVOCtz9XXf/Nnz7HtAubqfaAccCD0bYltShWCVIjXYkN9wA4YBnIiIiRLj2JzgLGBtO7wu85+5l7l4O/Ac4Od0GowQkbYH4rhKXhPNSOR94Ne79X4ArgfW1bcTMLjSz6WY2PVWX2bJpYpUgNQKSk0+GI4+s9/KIiEhGNY5dd8PXhXFpka/9ZpYL9AOeCWfNAXqZ2fZh2jHArmkLE6HAyQbJSPqssJn1JghIDgnfHwd87e4zzKy4to24+0jCWz15eXkN71nkLUCshqRGw9YpU6BtW2jXrsYyIiKyxSp39wNSpEW+9gPHA++4+woAd59nZn8A3gBWATOBtDUNUWpIllA9smkHLE3MZGYFBLdlTnT3b8LZPYETzGwhQXXP4Wb2eIRtSh1IWUPSqxf89a/1Xh4REWmwIl37Q2dSdbsGAHd/yN33d/dewAogbUdXUQKSaUBHM9vDzJqGG34xPoOZ7QY8Cwxw98rxxt39Gndv5+7tw+X+7e4/j7BNqQNJa0jKy2HtWjVqFRGReGmv/QBm1hI4DHghYf4O4d/dgFNICFiSSXvLxt3LzWwo8BqQAzzs7nPNbEiYfj9wPbA9cF84hHht1UCSIUkbtWqkXxERSRDx2g9BY9XX3T2xMcAzZrY9sA74ZdyDLymp6/gsUlICXbrAc8/BSSeFM//3P9h5Z/jb32DIkAyWTkRE6pO6jpeMSXrLRjUkIiLSAER5yka2EEkbtbZpA089Bd26ZaRMIiIioIAkqyStIdl6azjttIyUR0REJEa3bLJI0katy5bB66/Dd99lpEwiIiKggCSrNG0KOTkJAcmUKXDUUfBJ2kfERURE6owCkixiFtSSVLtlE3ujRq0iIpJBCkiyTF5ein5I1DGaiIhkkAKSLFOjhkSP/YqISAOggCTL5OYm1JDolo2IiDQAeuw3y9S4ZXP66VBQAM2bZ6xMIiIiCkiyTI1bNu3bBy8REZEM0i2bLFOjhmTaNHjllYyVR0REBFRDknVq1JDcey+89RYsWpSxMomIiKiGJMvUaNRaVqYGrSIiknEKSLJMjVs2paXqg0RERDJOAUmWSdoPiWpIREQkwxSQZJm8PFizBtavD2eUliogERGRjFOj1iwTP+JvixbAI48Eg9yIiIhkkAKSLFMjINlvv4yWR0REBHTLJuvE2q9WNmx99FGYMiVj5REREQEFJFknVkNS2bD1l7+EceMyVh4RERFQQJJ1qtWQuAcTeuxXREQyTAFJlqlWQ/Ljj8HjNnrKRkREMkwBSZaJb9Ra2ZBENSQiIpJhCkiyTLVbNrGARDUkIiKSYXrsN8tUu2Wz444wbx7ssENGyyQiIqKAJMtUqyFp0gT22Sej5REREQHdssk61WpIFi+GO++EJUsyWiYREREFJFmmWqPWefPg17+GRYsyWiYREREFJFkmJweaNVOjVhERaVgUkGSh3Nzwlk2su1Y99isiIhmmgCQL5eaqhkRERBoWBSRZKC8vjEVUQyIiIg2EApIsVHnL5sIL4fPPoWXLTBdJRESynPohyUKVNSS5ubpdIyIiDYJqSLJQZQ3JSy/BiBGZLo6IiEi0gMTM+pnZfDP71MyuTpJ+jpnNCl/vmllhOH8rM5tqZjPNbK6Z3bi5d0A2XGWj1n/+E/70p0wXR0REGqAI1/5hZlYSvuaYWYWZtQrTrgiv+3PMbKyZbZVue2kDEjPLAe4FjgY6AWeZWaeEbJ8Bh7l7AXAzMDKc/yNwuLsXAkVAPzM7MN02pW5V3rIpK1ODVhERqSHKtd/dR7h7kbsXAdcA/3H3FWbWFrgUOMDdOwM5wJnpthmlhqQ78Km7L3D3tcCTwIkJhXrX3b8N374HtAvnu7uvCuc3CV8eYZtSh6r1Q6I2JCIiUlPaa3+Cs4Cxce8bA83NrDGQCyxNt8EoAUlbYHHc+yXhvFTOB16NvTGzHDMrAb4G3nD3KRG2KXVINSQiIpJG5Gu/meUC/YBnANz9C+AO4HPgS+A7d3893QajBCSWZF7SWg4z600QkFxVmdG9IqzOaQd0N7POKZa90Mymm9n08vLyCMWSjVVZQ1JWphoSEZHs1Th23Q1fF8alRb72A8cD77j7CgAz246gNmUPYBcgz8x+nrYwEQq8BNg17n07klS9mFkB8CBwtLt/k5ju7ivNbAJBFDUnSfpIwrYneXl5uq1Th3Jzobwc1r3yBk1Yl+niiIhIZpS7+wEp0iJd+0NnUv12zRHAZ+6+DMDMngUOBh6vrTBRakimAR3NbA8zaxpu+MX4DGa2G/AsMMDdP46b38bMtg2nm4eF/CjCNqUOxe7SlFU0gxYtMlsYERFpiNJe+wHMrCVwGPBC3OzPgQPNLNfMDOgDzEu3wbQ1JO5ebmZDgdcIWso+7O5zzWxImH4/cD2wPXBfsO3KqGtnYHTYWrcR8A93fyndNqVuxe7SNLrxBjg4H047LbMFEhGRBiXitR/gZOB1dy+NW3aKmT0NvA+UAx9Q9fRtSube8O6O5OXleWlpafqMslEefxwGDIDy7VqTc/aZ8Ne/ZrpIIiJSz8yszN0bzJMN6qk1C8VqSKxMj/2KiEjDoIAkC+XmgrGeRj+uUUAiIiINggKSLJSXB81ZXfVGREQkwxSQZKHcXMilDG/USDUkIiLSIETph0S2MHl5sJw2jHu8nDPPaHiNmkVEJPsoIMlCsUqR0jKDRsk64xMREalfumWThXJzoQP/5cAHz4c5NTrNFRERqXcKSLJQXh7symL2e+9hWLYs08URERFRQJKNttoK8igL3qhRq4iINAAKSLKQGbRqFvaEq4BEREQaAAUkWWrbpmENifohERGRBkABSZZq1tQpa7KNakhERKRBUECSpV7dcRADT/wOdtop00URERFRQJKtcnNBAyqLiEhDoY7RstQpP4xm/8XjgUczXRQRERHVkGSr/dZM58DlL2W6GCIiIoACkqyVZ2WUmZ6wERGRhkEBSZbKo4zV6AkbERFpGBSQZKlcL2UVqiEREZGGQQFJllqbty2LfLdMF0NERARQQJK1Xjz1UU5c/zzumS6JiIiIApKslZsL7rBmTaZLIiIion5IstZJzwxgOYWUlf2W5s0zXRoREcl2qiHJUrt+Mp69ma/eWkVEpEFQQJKlmqwro4xcysoyXRIREREFJFmr8Y+llJKnGhIREWkQFJBko3XraFRRrhoSERFpMBSQZKMff6S0YyFf0FYBiYiINAgKSLJRixZ8+lQJoxisWzYiItIgKCDJUnlhr/GqIRERkYZAAUk2mj+f3U7vwaFMVA2JiIg0CApIstGKFTT9YCq5lKmGREREGgQFJNkojEJKyVNAIiIiDYICkmwU3qdZm5OrWzYiItIgKCDJRmG1SMVWqiEREZGGQQFJNtp2Wzj4YMrzWqqGREREGoRIAYmZ9TOz+Wb2qZldnST9HDObFb7eNbPCcP6uZvaWmc0zs7lmdtnm3gHZCP36wTvvsGrrnVVDIiIiSUW49g8zs5LwNcfMKsyslZntHTe/xMy+N7PL027P3dMVKAf4GDgSWAJMA85y9w/j8hwMzHP3b83saGC4u/cws52Bnd39fTPbGpgBnBS/bDJ5eXleqp/uda6wEDp0gOeey3RJRESkvplZmbvnpUhLe+1PyH88cIW7H55kPV8APdx9UW3liVJD0h341N0XuPta4EngxPgM7v6uu38bvn0PaBfO/9Ld3w+nfwDmAW0jbFPq0l/+AgUF5DZ33bIREZFk0l77E5wFjE0yvw/w33TBCEQLSNoCi+PeL6H2oOJ84NXEmWbWHugCTImwTalLS5bAggXk5plu2YiISDKRr/1mlgv0A55JknwmyQOVGhpHyGNJ5iW9z2NmvQkCkkMS5rcgKOjl7v59imUvBC4EaNq0aYRiyUYrK4PcXPLyYMWKTBdGREQypLGZTY97P9LdR4bTka/9wPHAO+5e7YpiZk2BE4BrIhUmQp4lwK5x79sBSxMzmVkB8CBwtLt/Eze/CUEwMsbdn021kfAgjISgDUmUwstGKi2F3FxyczWWjYhIFit39wNSpEW69odS1YIcDbzv7l9FKUyUWzbTgI5mtkcY7ZwJvBifwcx2A54FBrj7x3HzDXiIoMHrn6MUSOpBWRnk5ZGXp4BERESSSnvtBzCzlsBhwAtJ1pGqXUlSaWtI3L3czIYCrwE5wMPuPtfMhoTp9wPXA9sD9wUxSGXU1RMYAMw2s5Jwlb9z91eiFlDqQEEB7LgjuYYatYqISA0Rr/0AJwOvu3u1q0nYruRI4KKo20z72G8m6LHf+nHVVXDXXbBmTaZLIiIi9a22x34zQT21ZrG8PPjxR6ioyHRJREQk2ykgyUa9esHFF5ObG7xVOxIREck0BSTZ6PPPoayMvLCiTgGJiIhkmgKSbBT2QxKrIVFzHRERyTQFJNkorh8SUA2JiIhkngKSbONerR8SUA2JiIhkngKSbFNeDmefDUVFqiEREZEGI0rX8bIladIExowBIG9aMEsBiYiIZJpqSLKYGrWKiEhDoYAk23z0UdAj2rPP6paNiIg0GApIsk1paRCBNG6sRq0iItJgKCDJNrHqkLw81ZCIiEiDoYAk28SiD/VDIiIiDYgCkmwTuz+Tm0ujRrDVVrplIyIimaeAJNvsthv84hew445A8KSNakhERCTT1A9JtjnggOAVystTDYmIiGSeakiyTXk5rF9f+VY1JCIi0hAoIMk2f/gD5OTA2rVAUEOigERERDJNAUm2KS2Fxo2haVMgqCHRLRsREck0BSTZpqysqs94dMtGREQaBgUk2aa0lMouWlGjVhERaRgUkGQb1ZCIiEgDpMd+s82xx0JRUeVbNWoVEZGGQAFJtjn77Gpv1ahVREQaAt2yyTYrV8Lq1ZVvY7ds3DNXJBEREQUk2aZ3bzjjjMq3eXlQUVHZLYmIiEhGKCDJNkkatcZmi4iIZIoCkmxTVlbjsd/YbBERkUxRQJJtSkuT1pCoYauIiGSSApJsk1BDols2IiLSEOix32ziDjfcAAceWDlLt2xERKQhUECSTczgmmuqzdItGxERaQh0yyablJfDwoXVqkNUQyIiIg2BApJs8vnnsMce8NRTlbNUQyIiIg2BApJsEqsGUaNWERFpYBSQZJNY1BH32K9u2YiISEMQKSAxs35mNt/MPjWzq5Okn2Nms8LXu2ZWGJf2sJl9bWZzNmfBZSPE7suoHxIREUkjwrV/mJmVhK85ZlZhZq3CtG3N7Gkz+8jM5pnZQem2lzYgMbMc4F7gaKATcJaZdUrI9hlwmLsXADcDI+PSRgH90m1H6kGSWzbNmkGjRqohERGRKlGu/e4+wt2L3L0IuAb4j7uvCJPvAv7l7vsAhcC8dNuMUkPSHfjU3Re4+1rgSeDEhEK96+7fhm/fA9rFpU0EViCZt+++cNdd0L595SyzoJZENSQiIhIn7bU/wVnAWAAz2wboBTwE4O5r3X1lug1GCUjaAovj3i8J56VyPvBqhPVKfevQAS69FNq0qTY7N1c1JCIiUk3ka7+Z5RLcCXkmnNUBWAY8YmYfmNmDZpaXbNl4UQISSzLPUxSqN0FAclWE9SYue6GZTTez6eXl5Ru6uETx1VcwZw5UVFSbnZengEREJAs1jl13w9eFcWmRr/3A8cA7cbdrGgP7A39z9y5AKVCjDUqiKAHJEmDXuPftgKWJmcysAHgQONHdv4mw3mrcfaS7H+DuBzRurA5k68Sjj0J+PqxeXW22btmIiGSl8th1N3zFt/+MdO0PnUl4uyZu2SXuPiV8/zRBgFKrKAHJNKCjme1hZk3DDb8Yn8HMdgOeBQa4+8cR1imZEIs6mjevNlu3bEREJEHaaz+AmbUEDgNeiM1z9/8Bi81s73BWH+DDdBtMWxXh7uVmNhR4DcgBHnb3uWY2JEy/H7ge2B64z8wgjLrCwo4FioHWZrYEuMHdH0q3XakDZWWw1VaQk1Ntdl6eakhERKRKxGs/wMnA6+6eeBX5FTAmDGYWAIPTbdPcU90Sypy8vDwv1RVy8xs6FMaOhW+q31E79tigecn06Rkql4iI1DszK3P3tI1N64t6as0mpaXV+iCJUaNWERHJNLUezSYXXBBUhyRQo1YREck0BSTZpGfPpLPVqFVERDJNt2yySUkJzKvZe68atYqISKaphiSbDBkC224L//pXtdm5uUHXJOvXB+PaiIiI1DddfrJJaWm1kX5jYu1c16yp5/KIiIiEFJBkk7KypE/ZxGIU3bYREZFMUUCSTcrKktaQxGapYauIiGSKApJskuaWjWpIREQkU9SoNZs88QTstluN2aohERGRTFMNSTY57jgoKKgxO1ZDooAkcOutt7LffvtRUFBAUVERU6YEA1a2b9+e5cuXZ6xcw4YNY7/99mPYsGEZK0NUo0aNYujQoRu0TKaPr4hklmpIssWPP8Lrr0NhYY1aEjVqrTJ58mReeukl3n//fZo1a8by5ctZu3btJq+3vLycxo037d/tgQceYNmyZTRr1myTyyMi0tCohiRbLF8OJ5xQow8S0C2beF9++SWtW7euvOi3bt2aXXbZpTL9nnvuYf/99yc/P5+PPvoIgKlTp3LwwQfTpUsXDj74YObPnw8EtQT9+/fn+OOPp2/fvpSWlnLeeefRrVs3unTpwgsvvFBj++7OsGHD6Ny5M/n5+YwbNw6AE044gdLSUnr06FE5L2b48OEMHDiQvn370r59e5599lmuvPJK8vPz6devH+vWrQNg/PjxdOnShfz8fM477zx+/PFHIKiZuOGGG2rsV6ryHnrooZSUlFRuv2fPnsyaNavGvixevJh+/fqx9957c+ONN1bOP+mkk+jatSv77bcfI0eOTPo5pMrTokULrr32WgoLCznwwAP56quvAPjqq684+eSTKSwspLCwkHfffReAxx9/nO7du1NUVMRFF11ERUUFFRUVDBo0qPIY33nnnUnLICL1zN0b3Cs3N9dlM5s/3x3cH3+8RtKnnwZJo0dnoFwNzA8//OCFhYXesWNHv/jii33ChAmVabvvvrvffffd7u5+7733+vnnn+/u7t99952vW7fO3d3feOMNP+WUU9zd/ZFHHvG2bdv6N9984+7u11xzjT/22GPu7v7tt996x44dfdWqVdW2//TTT/sRRxzh5eXl/r///c933XVXX7p0qbu75+XlJS3zDTfc4D179vS1a9d6SUmJN2/e3F955RV3dz/ppJP8ueee89WrV3u7du18/vz57u4+YMAAv/POO2vdr1TlHTVqlF922WXu7j5//nzv2rVrjTI98sgjvtNOO/ny5cu9rKzM99tvP582bZq7e+XxiM1fvnx5ZTmWLVtWax7AX3zxRXd3HzZsmN98883u7n766adX7k95ebmvXLnSP/zwQz/uuON87dq17u5+8cUX++jRo3369Ol+xBFHVJb122+/TXpcRbZ0QKk3gGt+7KUakmwRq/7QY7+1atGiBTNmzGDkyJG0adOGM844g1GjRlWmn3LKKQB07dqVhQsXAvDdd9/Rv39/OnfuzBVXXMHcuXMr8x955JG0atUKgNdff53bb7+doqIiiouLWbNmDZ9//nm17U+aNImzzjqLnJwcdtxxRw477DCmTZuWttxHH300TZo0IT8/n4qKCvr16wdAfn4+CxcuZP78+eyxxx7stddeAAwcOJCJEyfWul+pytu/f39eeukl1q1bx8MPP8ygQYOSlunII49k++23p3nz5pxyyilMmjQJgLvvvruyhmPx4sV88sknNZZNladp06Ycd9xxNcr673//m4svvhiAnJwcWrZsyfjx45kxYwbdunWjqKiI8ePHs2DBAjp06MCCBQv41a9+xb/+9S+22WabtMdXROqe2pBki1gDkSQdo6lRa3U5OTkUFxdTXFxMfn4+o0ePrrzoxm7l5OTkUF5eDsB1111H7969ee6551i4cCHFxcWV68qLO97uzjPPPMPee++dctvBj5YNFytXo0aNaNKkCWZW+b68vDztepPtV23lPfLII3nhhRf4xz/+wfTp05OuM1aG+PcTJkzgzTffZPLkyeTm5lYGOvFqyxO/b/FlTcbdGThwILfddluNtJkzZ/Laa69x77338o9//IOHH3445XpEpH6ohiRb1FJD0rx58FeNWmH+/PnVfrGXlJSw++6717rMd999R9u2bQGq1aYkOuqoo7jnnnsqg4MPPvigRp5evXoxbtw4KioqWLZsGRMnTqR79+4bsSfV7bPPPixcuJBPP/0UgMcee4zDDjus1mVqK+8FF1zApZdeSrdu3SprgBK98cYbrFixgtWrV/P888/Ts2dPvvvuO7bbbjtyc3P56KOPeO+992osFyVPoj59+vC3v/0NgIqKCr7//nv69OnD008/zddffw3AihUrWLRoEcuXL2f9+vWceuqp3Hzzzbz//vtp1y8idU8BSbbo2hXGj4fOnWskNWkSvFRDAqtWrWLgwIF06tSJgoICPvzwQ4YPH17rMldeeSXXXHMNPXv2pKKiImW+6667jnXr1lFQUEDnzp257rrrauQ5+eSTKSgooLCwkMMPP5w//vGP7LTTTpu6W2y11VY88sgj9O/fn/z8fBo1asSQIUNqXaa28nbt2pVtttmGwYMHp1z+kEMOYcCAARQVFXHqqadywAEH0K9fP8rLyykoKOC6667jwAMPrLFclDyJ7rrrLt566y3y8/Pp2rUrc+fOpVOnTtxyyy307duXgoICjjzySL788ku++OILiouLKSoqYtCgQUlrUESk/tnGVhHXpby8PC/Vz/V6td12MGAA3H13pksiPwVLly6luLiYjz76iEYaIlrkJ8nMyty95n38DNE3Sbb4+GMYNy7lkL65uaohkWgeffRRevTowa233qpgREQ2G9WQZIu77oLLL4dvvoEk9/z32gsOOCDoXV5ERLZ8qiGRzKilUWtstmJAERHJFAUk2aKsDBo1ghTdjuuWjYiIZJICkmxRVhZEHQl9Q8Tk5amGREREMkcBSbYoLU3aKVqMakiqHHzwwRuUv7i4OGXnYHVp0KBBPP3005HzL1y4kM5JHvuGutuHCRMmVI4rA7Bs2TJ69OhBly5dePvtt1MuFz/y74Z+HiLy06SAJFtcey28+mrK5Lw8BSQx8RdQ2Xjl5eU1ApLx48ezzz778MEHH3DooYdGWo8+D5HsoIAkW+y6K3TpkjJZjVqrtGjRAgh+3RcXF3Paaaexzz77cM4556Tsgv2pp56ie/fu7LXXXpW//NesWcPgwYPJz8+nS5cuvPXWW0DQm+vQoUMrlz3uuOOYMGFCylFo//vf/9KvXz+6du3KoYceWjkaL8DEiRM5+OCD6dChQ2VtiacYMTje6tWrOfPMMykoKOCMM85g9erVSferffv2XHXVVXTv3p3u3btX9vS6aNEi+vTpQ0FBAX369Kkck2fQoEH8+te/pnfv3pxxxhncf//93HnnnRQVFfH2229z5ZVX8sorr1BUVMTq1asZO3Ys+fn5dO7cmauuuqrWzyPVfn355Zf06tWLoqIiOnfuXGvNi4g0XBrLJlu8+GLQfuT445Mm65ZNch988AFz585ll112oWfPnrzzzjsccsghNfKVl5czdepUXnnlFW688UbefPNN7r33XgBmz57NRx99RN++ffn4449TbqukpIQvvviCOXPmALBy5UoALrzwQu6//346duzIlClTuOSSS/j3v/8NBBfjSZMm8dFHH3HCCSdw2mmn8eyzz1JSUsLMmTNZvnw53bp1o1evXtW29be//Y3c3FxmzZrFrFmz2H///VOWa5tttmHq1Kk8+uijXH755bz00ksMHTqUc889l4EDB/Lwww9z6aWX8vzzzwPw8ccf8+abb5KTk8Pw4cNp0aIFv/3tbwG46aabmD59On/9619ZunQpV111FTNmzGC77bajb9++PP/885x00klJy5Fqv5544gmOOuoorr32WioqKijTiSzyk6Qakmzxpz/Bn/+cMlmNWpPr3r077dq1o1GjRhQVFVWOLpso2Wi5kyZNYsCAAUAwlszuu+9ea0CSbBTaVatW8e6779K/f3+Kioq46KKL+PLLLyuXOemkk2jUqBGdOnXiq6++qtxuuhGDJ06cyM9//nMACgoKKCgoSFmus846q/Lv5MmTAZg8eTJnn302AAMGDKgcyRegf//+5OTkpFxfzLRp0yguLqZNmzY0btyYc845p9oIxIlS7Ve3bt145JFHGD58OLNnz2brrbdOu20RaXgUkGSLCI1a160LXlKlWdxj0rWNLptqtNxkGjduzPr16yvfx0ay3W677Zg5cybFxcXce++9XHDBBaxfv55tt92WkpKSyte8efOSli+2vaidHSaOxhslX6pl4ufn1XKexdvQThlT5e/VqxcTJ06kbdu2DBgwgEcffXSD1isiDYMCkmwRe+w3hdg1JEVTAtkIvXr1YsyYMUBwG+Pzzz9n7733pn379pSUlLB+/XoWL17M1KlTAZKOQrvNNtuwxx578NRTTwHBRXnmzJlpt5tuxOD4ss2ZM4dZs2alXF+srca4ceM46KCDgODJlyeffBKAMWPGJL2NBbD11lvzww8/JE3r0aMH//nPf1i+fDkVFRWMHTu21hGIU+3XokWL2GGHHfjFL37B+eefr9F7RX6i1IYkW5SW1hqQxJJKS2GbbeqpTFu4Sy65hCFDhpCfn0/jxo0ZNWoUzZo1o2fPnuyxxx6VjTlj7Te++OILBg8eXFl7EhuFdsyYMVx88cXccsstrFu3jjPPPJPCwsKU2z355JOZPHkyhYWFmFnliMHxt5suvvhiBg8eTEFBAUVFRTUClng//vgjPXr0YP369YwdOxaAu+++m/POO48RI0bQpk0bHnnkkaTLHn/88Zx22mm88MIL3HPPPdXSdt55Z2677TZ69+6Nu3PMMcdw4oknbvB+jR49mhEjRtCkSRNatGihGhKRnyiNZZMt2rSB/v3hvvuSJj/6KAwcCJ9+CnvuWc9lkwarffv2TJ8+ndatW2e6KCKymTW0sWxUQ5Itpk2DrbZKmRy7ZaM4UEREMkEBSbZo377W5NgtGz0xKfFSPVUkIrK5qVFrNvjxR7j9dpgxI2WWWA2JAhIREckEBSTZ4Pvv4ZprIOxDIpn4Rq0iIiL1LVJAYmb9zGy+mX1qZlcnST/HzGaFr3fNrDDqslIPYtUeEZ6yUQ2JiIhApGv/MDMrCV9zzKzCzFqFaQvNbHaYFmnkzrRtSMwsB7gXOBJYAkwzsxfd/cO4bJ8Bh7n7t2Z2NDAS6BFxWalrsWqPWjqsUqNWERGJiXL9dvcRwIgw//HAFe6+Im41vd19edRtRmnU2h341N0XhBt9EjgRiC9U/HCc7wHtoi5bb555BlasqD6vbVs45phgeuxYWLWqenr79nDkkcH0o48GbTHiH5Peay8oLg6mH3wQ4nrfBGC//aBnT6iogIceqlmmoiLo3h3WrAnWn6hbt2BAvB9+gCeeqJnesyd07gzffAPJhqEvLoa994YFC4L3EWpIXn4ZvvwyOBSlpcErNh37W1ERDIvTqFHNV/x8s6r3yabjX6nmb8wLoqUlm06Xni5vbX+jpkWZTrd8svcbkyfK9IasO90ym5KvLvNszL5FtTnXlW7dUc+lzaG+e5TY2O1F+bw317Y2VrNmQbcM9WxDr99nAWM3ZYNRApK2wOK490uAHrXkPx+IjXMfeVkzuxC4EKBp06YRirWBhg+HcNCySkceWRWQXHMNLFpUPf2UU6oCkiuuqBnQDBxYFZBccknNfteHDq0KSC66qGaZrrkmCEhKS5On33prEJB88w0MGVIz/e67g4Bk6dLk6Y88EgQkseO5224184RatoTttoNnnw1ejRtDixbBKy+v6m+bNkHa+vXBP+X69TVf7sGhcK96xeYnTqfKs7EviJaWbDpderq8tf2NmiYikqhVqzoLSBon3E4Z6e4jw+kNuX7nAv2AoXGzHXjdzBx4IG69qQsTocDJYsWkX59m1psgIIn1Ix152bCwIyHoGC1CuTbMm29C4jgkceOA8N57QeAQL77fjjlzqmpAYuFz8+ZV6ckej4zdB2nSBL74omZ6OKw6222XPD02SFi7dkHQkSjWpeo++yRPb9ky+FtcDN9+C9tuWzNPqGlTWLwY1q4Nil0XMaFsuI0NaJIFOBuaJ8r0hqw73TKbkq8u82zMvkVVl4FobeVOdy5trtqSuqz92Rzbi/J5b65tbYo63Fa5ux+QarNJ5qU6OscD7yTcrunp7kvNbAfgDTP7yN1Tj55JtIBkCbBr3Pt2QI2rn5kVAA8CR7v7NxuybL3Yccfa03faqfb0nXeuPX2XXVKnmdWe3qhR7emNG9e+/SZNak9v2jRShJGXV2szE8mAdLdJRETqyIZcv88k4XaNuy8N/35tZs8R3AKqNSCJ8pTNNKCjme1hZk3DDb8Yn8HMdgOeBQa4+8cbsqyIiIg0OJGu32bWEjgMeCFuXp6ZbR2bBvoCcxKXTZS2hsTdy81sKPAakAM87O5zzWxImH4/cD2wPXBfOAx5ubsfkGrZdNsUERGRzIl47Qc4GXjd3eOf0dwReC6MBxoDT7j7v9JtU4PriYiIZKGGNrieemoVERGRjFNAIiIiIhmngEREREQyTgGJiIiIZJwCEhEREck4BSQiIiKScQpIREREJOMUkIiIiEjGKSARERGRjFNAIiIiIhmngEREREQyTgGJiIiIZJwCEhEREck4BSQiIiKScQpIREREJOMUkIiIiEjGKSARERGRjFNAIiIiIhmngEREREQyTgGJiIiIZJwCEhEREck4BSQiIiKScQpIREREJOMUkIiIiEjGKSARERGRjFNAIiIiIhmngEREREQyTgGJiIiIZJwCEhEREck4BSQiIiKScQpIREREJOMUkIiIiEjGKSARERGRjFNAIiIiIhmngEREREQyTgGJiIiIZFykgMTM+pnZfDP71MyuTpK+j5lNNrMfzey3CWmXmdkcM5trZpdvpnKLiIhIHYpw7R9mZiXha46ZVZhZq7j0HDP7wMxeirK9tAGJmeUA9wJHA52As8ysU0K2FcClwB0Jy3YGfgF0BwqB48ysY5SCiYiISGZEufa7+wh3L3L3IuAa4D/uviIuy2XAvKjbjFJD0h341N0XuPta4EngxIRCfe3u04B1CcvuC7zn7mXuXg78Bzg5auFEREQkI9Je+xOcBYyNvTGzdsCxwINRNxglIGkLLI57vyScF8UcoJeZbW9mucAxwK5RCyciIiIZEfnaH17f+wHPxM3+C3AlsD7qBhtHyGNJ5nmUlbv7PDP7A/AGsAqYCZQn3YjZhcCFsUXNbHWUbWyAxqm2LXVCx7t+6XjXLx3v+qXjXTeam9n0uPcj3X1kOL0h1/7jgXdit2vM7Djga3efYWbFUQsTJSBZQvVajXbA0qgbcPeHgIfCQv4+XF+yfCOBkcnSNgczm+7uB9TV+qU6He/6peNdv3S865eOd0ZsyLX/TOJu1wA9gRPM7BhgK2AbM3vc3X9e2waj3LKZBnQ0sz3MrGm44RcjLAeAme0Q/t0NOCWh0CIiItLwRLr2m1lL4DDghdg8d7/G3du5e/twuX+nC0YgQg2Ju5eb2VDgNSAHeNjd55rZkDD9fjPbCZgObAOsDx/v7eTu3wPPmNn2BA1ef+nu36bbpoiIiGROlGt/mPVk4HV3L93UbZp7pOYgP3lmdmHcvTGpYzre9UvHu37peNcvHe/skDUBiYiIiDRc6jpeREREMi4rApJ03d/KpjGzh83sazObEzevlZm9YWafhH+3y2QZtxRmtquZvWVm88LhGC4L5+t41wEz28rMpprZzPB43xjO1/GuQ4ldjut4Z4ctPiCJ2PW9bJpRBJ3ixLsaGO/uHYHx4XvZdOXAb9x9X+BA4Jfh+azjXTd+BA5390KgCOhnZgei413XErsc1/HOAlt8QMKGd38rG8jdJxKMZxTvRGB0OD0aOKk+y7Slcvcv3f39cPoHgi/ttuh41wkPrArfNglfjo53nUnR5biOdxbIhoBkU7q+l423o7t/CcFFFNghw+XZ4phZe6ALMAUd7zoT3j4oAb4G3nB3He+69Rdqdjmu450FsiEg2eiu70UaKjNrQTBuxOVhfz9SR9y9IhzNtB3QPRzFXOpAfJfjmS6L1L9sCEg2qet72WhfmdnOAOHfrzNcni2GmTUhCEbGuPuz4Wwd7zrm7iuBCQTtpXS860asy/GFBLfXDzezx9HxzgrZEJBsUtf3stFeBAaG0wOJ61ZYNp6ZGcHYUPPc/c9xSTredcDM2pjZtuF0c+AI4CN0vOtELV2O63hngazoGC0c4OcvVHV/e2tmS7RlMbOxQDHQGvgKuAF4HvgHsBvwOdA/NhKkbDwzOwR4G5hN1T323xG0I9Hx3szMrICgEWUOwQ+4f7j7TeFwGDredSgcJfa37n6cjnd2yIqARERERBq2bLhlIyIiIg2cAhIRERHJOAUkIiIiknEKSERERCTjFJCIiIhIxikgERERkYxTQCIiIiIZp4BEREREMm6LCUjMbLiZfWFmJeHrdjMbYmbnZqg895jZqhRpu5vZjLCcc81sSIT1Je5fSaxL6w0s1yAz+2uaPO3N7Oy49weY2d0buq0NLFd/M5tnZm+lKUva8m/Etoeb2W835zo3Vdhl+RQz+8DMDk1IW2hmrZMsU3m+m9koMzstnJ5gZgfUU7kb3LFMZWPKmup/OhPM7CYzO2ID8heFvVbH3mf0szKzYjM7OO59ynM+YbnK89/M3t1MZbk0/P4ZsznWJxuncaYLsJnd6e531MWKzSzH3Ssi5j0A2LaWLF8CB7v7j+GorXPM7EV3TzfoX53tX4L2wNnAEwDuPh2YXsfbPB+4xN3fSphfrSwN0YacGxugD/CRuw9MmzPk7vdv5jJIA+bu12/gIkXAAcArm780G8bMGhMMN7EKiAUVG3POH5w+VySXAEe7+2ebaX2yEbaYGpJk4n8BmFk3M5tlZpPNbISZzQnnV/vFbWYvhWMoYGarwl8hU4CDzOznZjY1rJ14wMxykmwzBxgBXJmqXO6+1t1/DN82YxM+h/AXxX5x7yeYWVcza2Vmz4f7/F44JkfispW/omP7G07eDhwa7ucV4S+Zl8I8SdcbHuuHw+0vMLNLU5T3LDObbWZzzOwP4bzrgUOA+81sRMIi1coSztvFzP5lZp+Y2R/j1t03/HzfN7OnwmAvcfuXmtmHYfmfjEvqlKzs4b7OsKAm68L4Y5Xu3Ahfo8J9nR1X/vjy7G5m48PyjDez3cysCPgjcEy4vuZJDuWwcHtTzexncZ9Byl+8EctzfNyv1DfNbMe4dSf9fM3sWjObb2ZvAnun2PYoM/ubmb0VLn9YuL55ZjYqLl+N8yPueN9qZjPD8y5WrjZm9oyZTQtfPc2sUXhutAnzNDKzTy1JrRJQaGb/DvP/IszfIvws3g/LcmKS/Umax4IavXlm9vfwnHk99vmZ2c/CYzozXG7PcP6wsOyzzOzGcF6emb0c5p1jZmekOKaxWrCFZnZjXHn2ScjbFLgJOCM8p2LrS3XeR/muW2hmf0hyHtY4p+PK+2cLakHHAUOAK8JtHErCOZ/qXEgow6rwr1n4vR4uU+N4hfl+HeaZY2aXh/PuBzoAL1qS/wmpR+6+RbyA4cAXQEn4Oiqc99swfQ5BrQQEF7k54fQg4K9x63kJKA6nHTg9nN4X+CfQJHx/H3BuknJcBlwRTq+qpby7ArOAMuCXG7F/b4XzrwBuDKd3Bj4Op+8BbginDwdKEvcXGAWcFreNVeHfYuCluPmV72tZ73CCXzrNCAbZ+yZ2rOLWswvBwFhtCGrn/g2cFKZNAA5Ist+JZRkELABaAlsBi8Jj2RqYCOSF+a4Crk+yvqVAs3B623RlB1qFf5sTnEPbRz03gK7AG3Hb3jZJef4JDAynzwOeT3ZeJiyzELg2nD437rMZTtX5XvnZxo5txPJsR9UYVxcAf6rtGIXrnA3kAtsAn8bKkLDeUQTDyRtwIvA9kE8QjM8g+PVe2/nhwPHh9B+B/wunnwAOCad3IxgFGYIBHi8Pp/sCz6T4n5oZfratgcVhGRoD24R5Wof7FDsmsf+RpHkIavTKgaIw7R/Az8PpKcDJ4fRW4THrC4wMl21E8P3TCzgV+HtcWVumOKaxz3gh8Ktw+hLgwST5B1H9uy7VZxr1u24hyc/DVOf0qHD/chLP1yTfTbWdCwuB1gmfx6nAGwSDIO4YLrtzQnlj52oe0AKYC3RJXKdemXttaTUkd7p7Ufh6LTbTgrYWW7t7rGowavV/BfBMON2H4ISeZmYl4fsO8ZnNbBegP8FFu1buvtjdC4CfAQNjv/jSiN+/3uG8f4TbBDgdeCqcPgR4LNzWv4HtzaxlhG2kU9t6X3b3H919OfA1wRdDvG7ABHdf5u7lwBiCL98NNd7dv3P3NcCHwO7AgUAn4J3w8xkYzk80CxhjZj8nuHDEpCr7pWY2E3iPIPDpGM6Pcm4sADpY0J6oH8FFONFBVJ2PjxEc3yjGxv09KOIyUcrTDnjNzGYDw4D94tKSHaNDgefcvczdvycYJj6Vf3rw7T8b+MrdZ7v7eoILQ3tqPz/WElzMIAhg2ofTRwB/DY/7i8A2ZrY18DDBRRKCi+IjKcr0gruvDvfpLaA7QXDwezObBbwJtKXmuVxbns/cvSS+rGGZ2rr7cwDuvsbdywgCkr7AB8D7wD4E59hs4IiwBuJQd/8uRfnjPZvk+KST7DNN+10XJ9l5WNs5/ZRHu725od8VhwBj3b3C3b8C/hOuIzHPc+5e6u6rCI5XyrYqUv+2tDYkqVgtaeVUv2WyVdz0mrh/HgNGu/s1tayrC0GA8amZAeSa2afu/rNUC7j7UjObS/CP8XQt6061/Bdm9o0Ft07OAC6KK2+N7AnvK/fdggI3jbDJ2tb7Y9y8CmqeX7V9Dhsi2XaM4Nf/WWmWPZbgi+0E4Dqrut1VY50W3Lo7AjjI3cvMbAJV50ekc8PMCglq635JEDCel6Z8UYff9hTTqRdw/zZCee4B/uzuL4b7PzwuLdXnG7XMseXXJ6xrfbiu8hpLVFkXBjOJ225E8PmsTsj/g5l9ZWaHAz2Ac1KsN7HsHuZtA3R193VmtpDq3wukyZN4nJqT+tw34DZ3f6BGgllX4BjgNjN73d1vSrGOmNh2k/3vpVsmfrko33UxUc7D+PmlEcu1od8VUfJvru8fqSNbWg1JUu7+LcEX1IHhrDPjkhcCRRbcZ96V4BdSMuOB08xsB6hsS1HtF7i7v+zuO7l7e3dvD5QlC0bMrF3cfeXtgJ7A/I3fQ54kaLPS0t1nh/MmEn4JhxeW5eEv2HgLCX4JQVCN3iSc/gHYOsW2oqw3lSnAYWbWOrwnfRbBL5na1FaWeO8BPePuY+ea2V7xGcysEbCrBw1nryRoeFyjnUmclsC3YTCyD0EtTDJJzw0L2iw0cvdngOuA/ZMs+y5V5+M5wKT0uwoEwWfs7+QoC0QsT0uCW4MQ1DKlMxE4ObznvzVwfJSypLAx58frwNDYGwva38Q8CDwO/KOWX+UnmtlWZrY9we3BaQTH4Osw0OhN8pq2KHkqhf8jS8zspLCczcwsF3gNOM/C9k5m1tbMdghrW8vc/XHgDpJ/Vhsq6v9S2u+6OMnOw6jndG3l2dBzYSJB+5gcC9oO9QKmJslzUvjdkAecDLxdyzqlnmVLDQkET3H83cxKCe6px6pA3wE+I6ginUNQbVqDu39oZv8HvB5e2NYR/MpcFGXjFjx5M8TdLyC4R/snM3OCqP2OuECiNleEtxpiTnL3hQQ1K3cBN8elDQceCauUy0h+cfk78IKZTSX4Eor9epkFlIe3KkYRVCdvyHqTcvcvzewagqpxA15x9xfSLJZYlm9TrHuZmQ0CxppZs3D2/wEfx2XLAR4PbzEZwS2wlWFtVjL/AoaE+zqfIOhJtu1U58ZqgmMVC/yT/eK8FHjYzIYBy4DBqQqToJkFDWobEXxZR9E2QnmGA0+Z2RcE+7tHbSt09/fNbBxBu6ZFbMIX/EaeH5cC94afUWOCi07sMfoXCW7VpLpdA8FF62WC9ic3hzWWY4B/mtl0gv36KMlyUfIkGgA8YGY3EZwj/d39dTPbF5gcnoergJ8T1LSOMLP1Yd6LI6w/nbeAq8PbMLelyrSB33XJzsOo5/Q/gactaBD8q4QybOi58BzBraKZBDUyV7r7/xLW+b4FDahjgcqD7v4B0mDEGmpt8cysRXjfEDO7mqDB02UZLpaI1JHwR8Cd7q52AnUgvE11QNj+RGSTZVMNybFhxN2YINIflNniiEhdCX90XEzqtiMi0sBkTQ2JiIiINFxbTKNWS+jkqx63u9m6n96UfTCzsRZ0RJSyYx/bzN2Jm9mDZtZpU9axOZjZCeEv4i2CpejG2sy2t6BjsVWW0H2+BZ3hzbagA7C7LWyQEDaeHBfOn2Jm7TdTGdN+9mZ20oacH7YRQxSY2e/ipttb2OFhXbKE4Qw2w/pSfd5pj4eZbWtml2yustSyncvDRribe72DEs/luLR3w7+Vn6vFddIoW54tJiDJZma2E0GnbwXufmd9bdfdL3D3D+tre7WU40V3v31T12NBd9YNwSXAMe6eeLthDcHTMckC4L8BFxL0YdER6BfOP5/gSaGfAXcCSXu83FARP/uTCPqGibrO6e6etIffWvwufZYNl+ZcaE8wnMHmkvTzjng8tg2Xj8wCG/rdfzlBR271xjdft/DyE7GlBSS9zOxdC7pBjtUEmCXpUjgx0jazv4ZPaWDBwHyx7sXvCOfV6KI6brupul+u0U1xvLBsfw239TKwQ1xajTLU4nVgBwu7YLZgEK33wmWfs+DR4pQseXfup5vZn8Ppy8xsQTi9p5lNCqcra1ksddfee4bvp1nQ1Xqq2qHnLXUX7TXWm7Bs5a8sC2qB7k48D8K0K8P9nGlmt8ftw+/N7D/AZRbUNPwnLMtrZrZzmO8X4T7MDM+D3HB+//C4zTSzieG8nPCci3UHflFimcN8G9SNddih0ySCwCR+PTsT9Bo6Oeyr41GCYACCx7lHh9NPA33Mqj9WZMEv0I/MbHRY3qfj9q+PBd3Iz7agq/dmccct5WdvwaBpJxA8KVISngepuu2PlaPyf9IiDEUQfobNw/XHahdyLHm37XtaMNzADDN72xK6Vo/b5kgzex14NDwub1vQHfv7VjUQXOLQCnXyeUc8HrcDe4ZlGRHmTdYVfXsLamHuI3iScNcU+Wp0WR9uaxfgLUsY/DJcJtU5stBq6c4+zq7hZzPfzG6IW2+tAxlaMPxASfj6wILHzuWnzBtAd7Gb40XwSOhTBEFWJ+DTcH7SLoWp2SX5XwkaurYieMQz1r5m2/Bvqi6qh1N7l9rJuimOdXd8SlzZdgFWAqelKkMt+96esCv88P0s4LBw+ibgL3HHKLE78aRdNAM7AdPCvE8T9M/QluAx39vi1xFOp+ra+yXgrHB6CCm606f2LtprrDdh2UFU7w4/2XlwdPg55SZsbwJwXzjdJMzTJnx/BvBwOL193PZuoaqb7tkEPXBWfk4ENRWx/W9GMDDhHgll3uhurKnZBfgBwJtx7w+lqhvvOUC7uLT/Jq6b4PxxoGf4/mGCWpitCLpT3yuc/yhV3bFH+exHUX1oghrd9ieUo5jq3eDXOhRB/P9S3H6k6rZ9PNAxnO4B/DvJuoYT9HLaPHyfC2wVTncEpieWsy4/7yjHg5r/+6m6om9P0AHdgWnyJe2yvpYy1naOLCRad/ZfAttT9b8fO69i35OV+5hwTP5J1TnbAmic6n9Gr5/Ga0urIXne3dd7UJUc+yUdpUvheN8T/AJ90MxOIehrA1J3UQ3Ju1+O0k1xr7iyLSUIBmorQ1oW9LGxrbvHOhEaTe1dLiftotmDZ/hbhPu4K0FA1ivch2R9TaTq2vsgqrqzr63L/lRdtKdab22SnQdHAI940F037r4iLv+48O/eQGfgjfBz/j+CrtQBOoe/lmcTPLkR6+H1HWCUBQOzxQYg6wucG65jCsGXbWx/YjZnN9a19Z4bpcdegMXu/k44/XhYvr0JukGP9eWS6lyK+hml6rY/lXRDESTzmdfstr0FcDBB/yolwAMEP0qSedGren1tQtB30WyCczjV7af6+ryjHI9UXdEDLHL399Lk29Au69OdI1G6s3/D3b8Jj/uzRB8+4R3gz2ENzrbh95f8hDWUe+abS3w3yJbwN1HSLuPdvdzMuhOM33AmQS+Qh5Oii2oLar9Tdb8cRY2LQy1lqAu1lXMyQadG8wmCkPMIAozfJMmbqmvv9AWovYv2jVlvqvMg1SNlpXF55rp7srFhRhF0RDfTglt7xQDuPsTMehB0SV9iQU+hRvDL8LUk60ks1+awhKrAiXB6aVzargS9hDYm6GF0BTUlHptYp31RRP2ManTbn+Yikm4ogijLNCf4313p7kURlo/v2vwK4CugMFzHmqRL1N/nHeV4JO2K3oLGzKXp8oV5N6TL+nT7FaU7+2TnXlrufrsFt7qPAd4zsyPcPUoHddJAbWk1JMmk6lJ4EUHbj2ZhrUIfCDpQI6imfIWgIVdRuJ7auqhOtd2TrPZuiicCZ4Zl2xnoXVsZzOxkM0vZwyJA+IvmWwuG84agd8jaulyurYvmiQRV9xMJfkn1Bn6M8Ksp3nsE1cBQvcv+eC2J1kX7pnidoIvuWNuIVknyzAfamNlBYZ4mVjXWzdbAl2bWhLi+LcxsT3ef4u7XA8sJLv6vAReHeTGzvcJzIN5m68ba3b8kHBrBggj5XCDWq+WLVPWmexrBrYpkX/i7xfab4ByYRND7aHsLu+Mn/bmUqLJrcNvwbvujWhc7zql40G37Z2bWPyyLWTCmTzotgS89GABwAFU1YIldntfr550gWVlqdEWfZLkN7bI+VTfvm3qOABxpQff0zQluF7+TJj9hmff0YIDGPxDcJkvVRkV+Ira0GpJkUnYpbGb/IKhG/oSq7tG3JuhOfSuC6D/W0Ky2Lqpr8GjdFD9HUPMxm6CL89g/cqoy7EnyEVoTDQTuDy++C6ilO3KvvYvmtwkusBPdvcLMFhOti+x4lxN01/4bgi66kwUzkbpo3xTu/q8wiJxuZmuBV0h4QsPd11rQCPbuMEhtDPyF4H7/dQTB2yKCzyv25TzCzDoSHLvxBOfZLILq6ffDAGEZVY1MY9vaqG6sLegdcxugqQXjovQNb01dTFCL0xx4NXwBPAQ8ZmafEtSMpAoK5xGMOv0Awf/D39x9jZkNJrjV0ZigHdH96coY50mCWx6Xhtt9yBK67d+AdaUyEphlZu8D19aS7xzgbxZ0id4kLNvMNOu+D3gmDGTeIvXQCndRR593Ou7+jZm9Y8Fjsa+6+zBL3hV9RcJyG9pl/UjgVTP70qtGGmcznCMQBL+Phdt+wt2nR1zucgvGEaogGPX7VQAzK4lYGyYNjDpG+wkxs8eBK9x9WabLElUYFK12dzezMwkauJ6Y6XJJlbA6/yV375zpsohI9sqGGpIthrv/PH2uBqcrQWNgI3iKKHG4exEREdWQiIiISOZlQ6NWERERaeAUkIiIiEjGKSARERGRjFNAIiIiIhmngEREREQyTgGJiIiIZNz/AwvJGrfAx670AAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "caption = '''\n", " Figure 4.3 Evolution of the shares of bills and money balances in the portfolio of\n", " households, following an increase of 100 points in the rate of interest on bills.'''\n", "\n", "hhdata = [s['Hh']/s['V'] for s in rate_shock.solutions[15:]]\n", "bhdata = [s['Bh']/s['V'] for s in rate_shock.solutions[15:]]\n", "\n", "fig = plt.figure()\n", "axes = fig.add_axes([0.1, 0.1, 1.1, 1.1])\n", "axes.tick_params(top='off')\n", "axes.spines['top'].set_visible(False)\n", "axes.set_ylim(0.19, 0.26)\n", "\n", "axes.plot(hhdata, 'b')\n", "\n", "axes2 = axes.twinx()\n", "axes2.tick_params(top='off')\n", "axes2.spines['top'].set_visible(False)\n", "axes2.set_ylim(0.74, 0.81)\n", "axes2.plot(bhdata, linestyle='--', color='r')\n", "\n", "plt.text(1, 0.81, 'Share of')\n", "plt.text(1, 0.807, 'money balances')\n", "plt.text(45, 0.81, 'Share of')\n", "plt.text(45, 0.807, 'bills')\n", "plt.text(15, 0.795, 'Share of bills in')\n", "plt.text(15, 0.792, 'household portfolios')\n", "plt.text(15, 0.755, 'Share of money balances')\n", "plt.text(15, 0.752, 'in household portfolios')\n", "fig.text(0.1, -.05, caption);\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###### Figure 4.4" ] }, { "cell_type": "code", "execution_count": 11, "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 4.4 Evolution of disposable income and household consumption following an\n", " increase of 100 points in the rate of interest on bills. '''\n", "yddata = [s['YD'] for s in rate_shock.solutions[20:]]\n", "cdata = [s['C'] for s in rate_shock.solutions[20:]]\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(86, 91)\n", "\n", "axes.plot(yddata, 'b')\n", "axes.plot(cdata, linestyle='--', color='r')\n", "\n", "# add labels\n", "plt.text(10, 90.2, 'Disposable')\n", "plt.text(10, 90.0, 'Income')\n", "plt.text(10, 88, 'Consumption')\n", "fig.text(0.1, -0.05, caption);\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Model PCEX1" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "def create_pcex1_model():\n", " model = Model()\n", "\n", " model.set_var_default(0)\n", " model.var('Bcb', desc='Government bills held by the Central Bank')\n", " model.var('Bd', desc='Demand for government bills')\n", " model.var('Bh', desc='Government bills held by households')\n", " model.var('Bs', desc='Government bills supplied by the government')\n", " model.var('C', desc='Consumption goods')\n", " model.var('Hd', desc='Demand for cash')\n", " model.var('Hh', desc='Cash held by households')\n", " model.var('Hs', desc='Cash supplied by the central bank')\n", " model.var('R', 'Interest rate on government bills')\n", " model.var('T', desc='Taxes')\n", " model.var('V', desc='Household wealth')\n", " model.var('Ve', desc='Expected household wealth')\n", " model.var('Y', desc='Income = GDP')\n", " model.var('YD', desc='Disposable income of households')\n", " model.var('YDe', desc='Expected disposable income of households')\n", "\n", " model.set_param_default(0)\n", " model.param('alpha1', desc='Propensity to consume out of income', default=0.6)\n", " model.param('alpha2', desc='Propensity to consume o of wealth', default=0.4)\n", " model.param('lambda0', desc='Parameter in asset demand function', default=0.635)\n", " model.param('lambda1', desc='Parameter in asset demand function', default=5.0)\n", " model.param('lambda2', desc='Parameter in asset demand function', default=0.01)\n", " model.param('theta', desc='Tax rate', default=0.2)\n", "\n", " model.param('G', desc='Government goods', default=20.)\n", " model.param('Rbar', desc='Interest rate as policy instrument', default=0.025)\n", " \n", " model.add('Y = C + G') # 4.1\n", " model.add('YD = Y - T + R(-1)*Bh(-1)') # 4.2\n", " model.add('T = theta*(Y + R(-1)*Bh(-1))') #4.3, theta < 1\n", " model.add('V = V(-1) + (YD - C)') # 4.4\n", " model.add('C = alpha1*YDe + alpha2*V(-1)') # 4.5E\n", " model.add('Bd = Ve*lambda0 + Ve*lambda1*R - lambda2*YDe') # 4.7E\n", " model.add('Hd = Ve - Bd') # 4.13\n", " model.add('Ve = V(-1) + (YDe - C)') # 4.14\n", " model.add('Hh = V - Bh') # 4.6\n", " model.add('Bh = Bd') # 4.15\n", " model.add('Bs - Bs(-1) = (G + R(-1)*Bs(-1)) - (T + R(-1)*Bcb(-1))') # 4.8\n", " model.add('Hs - Hs(-1) = Bcb - Bcb(-1)') # 4.9\n", " model.add('Bcb = Bs - Bh') # 4.10\n", " model.add('R = Rbar') # 4.11\n", " model.add('YDe = YD(-1)') # 4.16A\n", " \n", " return model\n" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "pcex1 = create_pcex1_model()\n", "pcex1.set_values({'Bcb': 21.576,\n", " 'Bh': 64.865,\n", " 'Bs': 86.441,\n", " 'Hh': 21.62,\n", " 'Hs': 21.62,\n", " 'V': 86.485,\n", " 'YD': 90,\n", " 'alpha1': 0.6,\n", " 'alpha2': 0.4,\n", " 'lambda0': 0.635,\n", " 'lambda1': 5.0,\n", " 'lambda2': 0.01,\n", " 'G': 20,\n", " 'Rbar': 0.025})\n", "for i in range(10):\n", " pcex1.solve(iterations=100, threshold=1e-5)\n", "\n", "pcex1.parameters['alpha1'].value = 0.7\n", "\n", "for i in range(40):\n", " pcex1.solve(iterations=100, threshold=1e-5)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###### Figure 4.5" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "caption = '''\n", " Figure 4.5 Rise and fall of national income (GDP) following an increase in the\n", " propensity to consume out of expected disposable income ($\\\\alpha_1$) '''\n", "ydata = [s['Y'] for s in pcex1.solutions[8:]]\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(104, 123)\n", "\n", "axes.plot(ydata, 'b')\n", "\n", "# add labels\n", "plt.text(10, 116, 'National Income (GDP)')\n", "fig.text(0.1, -0.05, caption);\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###### Figure 4.6" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "caption = '''\n", " Figure 4.6 Evolution of consumtion, expected disposable income and lagged wealth,\n", " following an increase in the propensity to consume out of expected disposable\n", " income ($\\\\alpha_1$).'''\n", "vdata = [s['V'] for s in pcex1.solutions[8:]]\n", "ydedata = [s['YDe'] for s in pcex1.solutions[8:]]\n", "cdata = [s['C'] for s in pcex1.solutions[8:]]\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(60, 106)\n", "\n", "axes.plot(cdata, linestyle=':', color='r')\n", "axes.plot(ydedata, linestyle='--', color='b')\n", "axes.plot(vdata, color='k')\n", "\n", "# add labels\n", "plt.text(5, 102, 'Consumption')\n", "plt.text(5, 90, 'Expected')\n", "plt.text(5, 88, 'disposable')\n", "plt.text(5, 86, 'income')\n", "plt.text(10, 70, 'Lagged wealth')\n", "fig.text(0.1, -.1, caption);\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Model PCEX2" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "def create_pcex2_model():\n", " model = Model()\n", "\n", " model.set_var_default(0)\n", " model.var('Bcb', desc='Government bills held by the Central Bank')\n", " model.var('Bd', desc='Demand for government bills')\n", " model.var('Bh', desc='Government bills held by households')\n", " model.var('Bs', desc='Government bills supplied by the government')\n", " model.var('C', desc='Consumption goods')\n", " model.var('Hd', desc='Demand for cash')\n", " model.var('Hh', desc='Cash held by households')\n", " model.var('Hs', desc='Cash supplied by the central bank')\n", " model.var('R', 'Interest rate on government bills')\n", " model.var('T', desc='Taxes')\n", " model.var('V', desc='Household wealth')\n", " model.var('Ve', desc='Expected household wealth')\n", " model.var('Y', desc='Income = GDP')\n", " model.var('YD', desc='Disposable income of households')\n", " model.var('YDe', desc='Expected disposable income of households')\n", " model.var('alpha1', desc='Propensity to consume out of income')\n", "\n", " model.set_param_default(0)\n", " model.param('alpha2', desc='Propensity to consume out of wealth', default=0.6)\n", " model.param('alpha10', desc='Propensity to consume out of income - exogenous')\n", " model.param('iota', desc='Impact of interest rate on the propensity to consume out of income')\n", " model.param('lambda0', desc='Parameter in asset demand function', default=0.635)\n", " model.param('lambda1', desc='Parameter in asset demand function', default=5.0)\n", " model.param('lambda2', desc='Parameter in asset demand function', default=0.01)\n", " model.param('theta', desc='Tax rate', default=0.2)\n", "\n", " model.param('G', desc='Government goods')\n", " model.param('Rbar', desc='Interest rate as policy instrument')\n", " \n", "\n", " model.add('Y = C + G') # 4.1\n", " model.add('YD = Y - T + R(-1)*Bh(-1)') # 4.2\n", " model.add('T = theta*(Y + R(-1)*Bh(-1))') #4.3, theta < 1\n", " model.add('V = V(-1) + (YD - C)') # 4.4\n", " model.add('C = alpha1*YDe + alpha2*V(-1)') # 4.5E\n", " model.add('Bd = Ve*lambda0 + Ve*lambda1*R - lambda2*YDe') # 4.7E\n", " model.add('Hd = Ve - Bd') # 4.13\n", " model.add('Ve = V(-1) + (YDe - C)') # 4.14\n", " model.add('Hh = V - Bh') # 4.6\n", " model.add('Bh = Bd') # 4.15\n", " model.add('Bs - Bs(-1) = (G + R(-1)*Bs(-1)) - (T + R(-1)*Bcb(-1))') # 4.8\n", " model.add('Hs - Hs(-1) = Bcb - Bcb(-1)') # 4.9\n", " model.add('Bcb = Bs - Bh') # 4.10\n", " model.add('R = Rbar') # 4.11\n", " model.add('YDe = YD(-1)') # 4.16A\n", " model.add('alpha1 = alpha10 - iota*R(-1)')\n", " \n", " return model\n" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "pcex2 = create_pcex2_model()\n", "pcex2.set_values({'Bcb': 21.576,\n", " 'Bh': 64.865,\n", " 'Bs': 86.441, # Bs = Bh + Bcb\n", " 'Hh': 21.62,\n", " 'Hs': 21.62, # Hs = Hh\n", " 'R': 0.025,\n", " 'V': 86.485, # V = Bh + Hh\n", " 'YD': 90,\n", " 'alpha1': 0.6,\n", " 'alpha2': 0.4,\n", " 'alpha10': 0.7,\n", " 'iota': 4,\n", " 'lambda0': 0.635,\n", " 'lambda1': 5,\n", " 'lambda2': 0.01,\n", " 'theta': 0.2,\n", " 'G': 20,\n", " 'Rbar': 0.025})\n", "\n", "for i in range(15):\n", " pcex2.solve(iterations=100, threshold=1e-5)\n", "\n", "# Introduce the rate shock\n", "pcex2.parameters['Rbar'].value += 0.01\n", "\n", "for i in range(40):\n", " pcex2.solve(iterations=100, threshold=1e-5)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###### Figure 4.9" ] }, { "cell_type": "code", "execution_count": 18, "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 4.9 Evolution of GDP, disposable income, consumptiona and wealth, \n", " following an increase of 100 points in the rate of interest on bills, in Model PCEX2\n", " where the propensity to consume reacts negatively to higher interest rates'''\n", "\n", "vdata = [s['V'] for s in pcex2.solutions[12:]]\n", "ydata = [s['Y'] for s in pcex2.solutions[12:]]\n", "yddata = [s['YD'] for s in pcex2.solutions[12:]]\n", "cdata = [s['C'] for s in pcex2.solutions[12:]]\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(80, 116)\n", "\n", "axes.plot(ydata, linestyle=':', color='b')\n", "axes.plot(vdata, linestyle='-', color='r')\n", "axes.plot(yddata, linestyle='-.', color='k')\n", "axes.plot(cdata, linestyle='--', color='g')\n", "\n", "# add labels\n", "plt.text(15, 112, 'National income (GDP)')\n", "plt.text(15, 101, 'Household wealth')\n", "plt.text(8, 89, 'Disposable')\n", "plt.text(8, 87.5, 'income')\n", "plt.text(12, 84, 'Consumption')\n", "fig.text(0.1, -0.1, caption);\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###### Figure 4.10" ] }, { "cell_type": "code", "execution_count": 19, "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 4.10 Evolution of tax revenues and government expenditures including net\n", " debt servicing, following an increase of 100 points in the rate of interest on bills,\n", " in Model PCEX2 where the propensity to consume reacts negatively to higher\n", " interest rates'''\n", "\n", "tdata = list()\n", "sumdata = list()\n", "for i in range(12, len(pcex2.solutions)):\n", " s = pcex2.solutions[i]\n", " s_1 = pcex2.solutions[i-1]\n", " sumdata.append( s['G'] + s_1['R']*s_1['Bh'])\n", " tdata.append(s['T'])\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(20.5, 23)\n", "\n", "axes.plot(sumdata, linestyle='-', color='r')\n", "axes.plot(tdata, linestyle='--', color='k')\n", "\n", "# add labels\n", "plt.text(6, 22.9, 'Government expenditures plus net debt service')\n", "plt.text(15, 22, 'Tax revenues')\n", "fig.text(0.1, -0.15, caption);\n" ] }, { "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 }