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RMT4 Figures 11.9.1, 11.9.2, and 11.9.3 using dolo
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{ | |
"metadata": { | |
"name": "Figures (dolo)" | |
}, | |
"nbformat": 3, | |
"nbformat_minor": 0, | |
"worksheets": [ | |
{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"import pandas as pd\n", | |
"import matplotlib.pyplot as plt\n", | |
"from dolo import yaml_import, approximate_controls, display\n", | |
"from dolo.algos import perfect_foresight as pf\n", | |
"\n", | |
"# Declare plotting style\n", | |
"pd.options.display.mpl_style='default'" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 1 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## RMT4 Figure 11.9.1" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"model = yaml_import(\"dolo/Figv4_1191.yaml\")\n", | |
"T = 101 # simluation length\n", | |
"p_T = 40 # Periods to plot\n", | |
"g = np.ones(T + 1) * .4\n", | |
"g[:9] = 0.2\n", | |
"g_shock = np.atleast_2d(g[:100])\n", | |
"sol = pf.deterministic_solve(model, shocks=g_shock, T=T, ignore_constraints=True)\n", | |
"sol['g'] = g" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 2 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"# Compute initial steady states\n", | |
"kbar, cbar = pf.find_steady_state(model, np.array([0.2]))\n", | |
"a = model.functions['auxiliary']\n", | |
"etabar, wbar, Rbar = a(kbar, cbar, model.calibration['parameters'])" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 3 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"# Set up plotting materials \n", | |
"o = np.ones(p_T)\n", | |
"names = [['k', 'c', 'R'], ['eta', 'g', 'w']]\n", | |
"titles = [['k', 'c', r'$\\bar{R}$'], [r'$\\eta$', 'g', 'w']]\n", | |
"ss = [[kbar, cbar, Rbar], [etabar, g[0], wbar]]" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 4 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"# Generate plots\n", | |
"psol = sol.ix[:p_T]\n", | |
"fig, axes = plt.subplots(nrows=2, ncols=3, figsize=(8, 8))\n", | |
"for ind_i, i in enumerate(names):\n", | |
" for ind_k, k in enumerate(i):\n", | |
" ax_ik = axes[ind_i, ind_k]\n", | |
" psol[k].plot(ax=ax_ik, linewidth=2, title=titles[ind_i][ind_k])\n", | |
" ax_ik.plot(o * ss[ind_i][ind_k], 'k--')\n", | |
"axes[1,1].set_ybound(.18, .42)\n", | |
"fig.suptitle('RMT4 Figure 11.9.1', fontsize=18)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"output_type": "pyout", | |
"prompt_number": 5, | |
"text": [ | |
"<matplotlib.text.Text at 0x112423d10>" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
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emBTnj3Bfyz5KgvvhyktGbr75Zjz0zQU0d2mx6a/JiAmwLTiKYMhwtutCPbJy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\nZVApZVgwNXrMZ0NGM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| |
"text": [ | |
"<matplotlib.figure.Figure at 0x110fe4a50>" | |
] | |
} | |
], | |
"prompt_number": 5 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## RMT4 Figure 11.9.2" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"# Change gamma and compute solution again\n", | |
"model.set_calibration('gamma', 0.2)\n", | |
"sol2 = pf.deterministic_solve(model, shocks=g_shock, T=T, ignore_constraints=True)\n", | |
"sol2['g'] = g" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 6 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"# Generate plot\n", | |
"psol2 = sol2.ix[:p_T]\n", | |
"fig2, axes2 = plt.subplots(nrows=2, ncols=3, figsize=(8, 8))\n", | |
"for ind_i, i in enumerate(names):\n", | |
" for ind_k, k in enumerate(i):\n", | |
" ax_ik = axes2[ind_i, ind_k]\n", | |
" psol[k].plot(ax=ax_ik, linewidth=2, title=titles[ind_i][ind_k])\n", | |
" psol2[k].plot(ax=ax_ik, linewidth=3, style='-.')\n", | |
" ax_ik.plot(o * ss[ind_i][ind_k], 'k--')\n", | |
"axes2[1,1].set_ybound(.18, .42)\n", | |
"fig2.suptitle('RMT4 Figure 11.9.2', fontsize=18)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"output_type": "pyout", | |
"prompt_number": 7, | |
"text": [ | |
"<matplotlib.text.Text at 0x11277f250>" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
"png": 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U1+O2h3jzMCHKB8kRPhgb7o0AD64TNbViH/dnn32GlStXYvny5TqjDQApKSn9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\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x110fe4e50>" | |
] | |
} | |
], | |
"prompt_number": 7 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## RMT4 Figure 11.9.3" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"model.set_calibration('gamma', 2.0)\n", | |
"beta, gamma = model.get_calibration('beta'), 2.0\n", | |
"n = np.arange(1, sol.shape[0] + 1)\n", | |
"\n", | |
"# Compute q and qbar\n", | |
"q = beta ** n * sol['c'] ** (-gamma) / (beta ** 2 * sol['c'][1] ** (-gamma))\n", | |
"qbar = beta ** (n - 1)\n", | |
"sol['q'] = q\n", | |
"sol['qbar'] = qbar\n", | |
"\n", | |
"# Compute r and rbar\n", | |
"sol['r'] = sol['R'] - 1\n", | |
"rbar = sol['R'][0] - 1\n", | |
"\n", | |
"# comupte r_{t, s+t}\n", | |
"rst = np.zeros((40, 62))\n", | |
"for t in range(62):\n", | |
" for i in range(40):\n", | |
" rst[i, t] = np.log(q[i+t]/ q[t]) / (-i) " | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 8 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"fig3, axes3 = plt.subplots(nrows=2, ncols=3, figsize=(8, 8))\n", | |
"psol3 = sol.ix[:p_T]\n", | |
"psol3['c'].plot(ax=axes3[0,0], linewidth=2, title='c'); axes3[0,0].plot(o * cbar, 'k--')\n", | |
"psol3[['q', 'qbar']].plot(ax=axes3[0,1], linewidth=2, title='q', legend=None, style=['-', 'k--'])\n", | |
"psol3['r'].plot(ax=axes3[0,2], linewidth=2, title=r'$r_{t, t+1}$'); axes3[0,2].plot(o * rbar, 'k--')\n", | |
"axes3[1,0].plot(range(p_T), rst[:, 1], range(p_T), rst[:, 10], '-.', range(p_T), rst[:, -1], 'k--', linewidth=2)\n", | |
"axes3[1, 0].set_title(r'$r_{t, t+t}$')\n", | |
"psol3['g'].plot(ax=axes3[1,1], linewidth=2, title='g'); axes3[1,1].plot(o * g[0], 'k--'); axes3[1,1].set_ybound(.18, .42)\n", | |
"fig3.suptitle('RMT4 Figure 11.9.3', fontsize=18)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"output_type": "pyout", | |
"prompt_number": 9, | |
"text": [ | |
"<matplotlib.text.Text at 0x11407ce90>" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
"png": 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0DmvGew+FSS1HdjR67vT65Kv+6quvSEtLw8HBgT59+hAdHV3jcSkY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\nrkJggg==\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x1124c2f90>" | |
] | |
} | |
], | |
"prompt_number": 9 | |
} | |
], | |
"metadata": {} | |
} | |
] | |
} |
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