{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%load_ext autoreload" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "autoreload 2" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import sympy as sym\n", "import seaborn as sn\n", "\n", "import pycollocation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The basic model: amplification and persistance" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# need to specify some production function for gatherers\n", "def output(k, alpha):\n", " return k**alpha\n", "\n", "def marginal_product_capital(k, alpha, **params):\n", " return alpha * k**(alpha - 1)\n", "\n", "def K_dot(t, K, B, q, u, a, R):\n", " return (1 / u) * ((a + q) * K - R * B) - K\n", "\n", "def B_dot(t, K, B, q, u, R):\n", " return (1 / R) * q * K - B\n", "\n", "def q_dot(t, K, B, q, u, R):\n", " return (R - 1) * q - R * u\n", " \n", "def u_dot(t, K, B, q, u, m, K_bar, R, **params):\n", " return (1 / R) * marginal_product_capital((1 / m) * (K_bar - K), **params) - u\n", "\n", "def rhs(t, K, B, q, u, a, m, K_bar, R, **params):\n", " out = [K_dot(t, K, B, q, u, a, R),\n", " B_dot(t, K, B, q, u, R),\n", " q_dot(t, K, B, q, u, R),\n", " u_dot(t, K, B, q, u, m, K_bar, R, **params)]\n", " return out" ] }, { "cell_type": "code", "execution_count": 82, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def steady_state_capital(a, m, K_bar, R, alpha, **params):\n", " return K_bar - m * (alpha / (a * R))**(1 / (1 - alpha))\n", "\n", "def steady_state_debt(a, m, K_bar, R, **params):\n", " Kstar = steady_state_capital(a, m, K_bar, R, **params)\n", " return (a / (R - 1)) * Kstar\n", "\n", "def steady_state_land_price(a, R, **params):\n", " return (R / (R - 1)) * a\n", " \n", "def steady_state_user_cost(a, **params):\n", " return a\n", "\n", "def bcs_lower(t, K, B, q, u, K0, **params):\n", " return [K - K0]\n", "\n", "def bcs_upper(t, K, B, q, u, a, m, K_bar, R, **params):\n", " Bstar = steady_state_debt(a, m, K_bar, R, **params)\n", " qstar = steady_state_land_price(a, R)\n", " ustar = steady_state_user_cost(a)\n", " return [B - Bstar, q - qstar, u - ustar]" ] }, { "cell_type": "code", "execution_count": 83, "metadata": { "collapsed": true }, "outputs": [], "source": [ "params = {'a': 1.01, 'm': 10.0, 'alpha': 0.33, 'R': 1.5, 'K_bar': 100, 'K0': 95}" ] }, { "cell_type": "code", "execution_count": 84, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "98.97176708265565" ] }, "execution_count": 84, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Kstar" ] }, { "cell_type": "code", "execution_count": 85, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "142.5" ] }, "execution_count": 85, "metadata": {}, "output_type": "execute_result" } ], "source": [ "B0" ] }, { "cell_type": "code", "execution_count": 86, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "199.9229695069644" ] }, "execution_count": 86, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Bstar" ] }, { "cell_type": "code", "execution_count": 93, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# specify an initial guess\n", "domain = [0, 10]\n", "ts = np.linspace(domain[0], domain[1], 1000)\n", "Kstar = steady_state_capital(**params)\n", "Ks = Kstar - (Kstar - params['K0']) * np.exp(-ts)\n", "initial_capital_poly = np.polynomial.Chebyshev.fit(ts, Ks, 5, domain)\n", "\n", "# initial value of debt is some multiple of capital stock\n", "B0 = 1.5 * params['K0']\n", "Bstar = steady_state_debt(**params)\n", "Bs = Bstar - (Bstar - B0) * np.exp(-ts) \n", "initial_debt_poly = np.polynomial.Chebyshev.fit(ts, Bs, 5, domain)\n", "\n", "# starting with K0 < Kstar, must be that u0 > ustar\n", "ustar = steady_state_user_cost(**params)\n", "u0 = 1.5 * ustar\n", "us = ustar - (ustar - u0) * np.exp(-ts)\n", "initial_user_cost_poly = np.polynomial.Chebyshev.fit(ts, us, 5, domain)\n", "\n", "# starting with K0 < Kstar, must be that q0 > qstar\n", "qstar = steady_state_land_price(**params)\n", "q0 = 1.05 * qstar\n", "qs = qstar + (qstar - q0) * np.exp(-ts)\n", "initial_land_price_poly = np.polynomial.Chebyshev.fit(ts, qs, 5, domain)\n", "\n", "initial_coefs = np.hstack([initial_capital_poly.coef, initial_debt_poly.coef, \n", " initial_user_cost_poly.coef, initial_land_price_poly.coef])" ] }, { "cell_type": "code", "execution_count": 94, "metadata": { "collapsed": false }, "outputs": [], "source": [ "nodes = pycollocation.PolynomialSolver.collocation_nodes(5, domain, \"Chebyshev\")" ] }, { "cell_type": "code", "execution_count": 95, "metadata": { "collapsed": true }, "outputs": [], "source": [ "problem = pycollocation.TwoPointBVP(bcs_lower, bcs_upper, 1, 4, rhs, params)" ] }, { "cell_type": "code", "execution_count": 96, "metadata": { "collapsed": false }, "outputs": [], "source": [ "solution = pycollocation.PolynomialSolver.solve({'kind': \"Chebyshev\"},\n", " initial_coefs,\n", " domain,\n", " nodes,\n", " problem)" ] }, { "cell_type": "code", "execution_count": 99, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[array([ 98.25192341, 1.29704214, -0.91771876, 0.5470026 ,\n", " -0.25019508, 0.10814735]),\n", " array([ 189.51562177, 18.75236135, -13.26818405, 7.90844809,\n", " -3.61726759, 1.56357157]),\n", " array([ 1.10152628, -0.16491558, 0.11668559, -0.06954998, 0.03181166,\n", " -0.01375066]),\n", " array([ 3.00254212, 0.04947467, -0.03500568, 0.02086499, -0.0095435 ,\n", " 0.0041252 ])]" ] }, "execution_count": 99, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pycollocation.PolynomialSolver._array_to_list(initial_coefs, 4)" ] }, { "cell_type": "code", "execution_count": 100, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([ 98.25192341, 1.29704214, -0.91771876, 0.5470026 ,\n", " -0.25019508, 0.10814735])" ] }, "execution_count": 100, "metadata": {}, "output_type": "execute_result" } ], "source": [ "initial_capital_poly.coef" ] }, { "cell_type": "code", "execution_count": 97, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ " status: 5\n", " success: False\n", " qtf: array([ 118.11507587, -73.62805396, 34.42542314, 91.23327592,\n", " -21.58362966, -46.31673836, -312.73178766, 49.73195376,\n", " -63.00744997, 17.69122132, -29.50229648, 6.74219956,\n", " -130.3121271 , 76.17524295, -0.89808815, 1.0618052 ,\n", " 4.798498 , 8.7009872 , 8.70516571, 13.22207324,\n", " 3.44698481, -3.86957298, 10.27331385, 4.00065662])\n", " nfev: 59\n", " r: array([ nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan,\n", " nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan,\n", " nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan,\n", " nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan,\n", " nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan,\n", " nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan,\n", " nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan,\n", " nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan,\n", " nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan,\n", " nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan,\n", " nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan,\n", " nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan,\n", " nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan,\n", " nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan,\n", " nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan,\n", " nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan,\n", " nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan,\n", " nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan,\n", " nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan,\n", " nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan,\n", " nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan,\n", " nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan,\n", " nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan,\n", " nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan,\n", " nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan,\n", " nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan,\n", " nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan,\n", " nan, nan, nan])\n", " fun: array([ 9.91315830e+01, 1.27135105e+02, 1.31413999e+02,\n", " 1.32020647e+02, 1.32290429e+02, 1.05707121e+02,\n", " 1.30513462e+02, 1.32691054e+02, 1.32959922e+02,\n", " 1.35856846e+02, 3.31235599e+00, 3.91420017e+00,\n", " 4.02867648e+00, 4.04545691e+00, 4.02224183e+00,\n", " 2.61978349e+00, 2.24958520e+00, 2.05253856e+00,\n", " 2.01347433e+00, 2.01616608e+00, 1.31817469e-01,\n", " 9.31581637e-01, -2.02819269e+00, 2.02245781e+00])\n", " x: array([ 9.82519234e+01, 1.29704214e+00, -9.17718765e-01,\n", " 5.47002603e-01, -2.50195078e-01, 1.08147352e-01,\n", " 1.89515622e+02, 1.87523613e+01, -1.32681840e+01,\n", " 7.90844809e+00, -3.61726759e+00, 1.56357157e+00,\n", " 1.10152628e+00, -1.64915583e-01, 1.16685588e-01,\n", " -6.95499784e-02, 3.18116626e-02, -1.37506585e-02,\n", " 3.00254212e+00, 4.94746748e-02, -3.50056763e-02,\n", " 2.08649935e-02, -9.54349878e-03, 4.12519754e-03])\n", " message: 'The iteration is not making good progress, as measured by the \\n improvement from the last ten iterations.'\n", " fjac: array([[ -7.23449284e-02, -1.30682715e-01, -1.39759317e-01,\n", " -1.41050339e-01, -1.41202692e-01, 3.95426739e-01,\n", " 3.01616125e-01, 2.86438732e-01, 2.84266727e-01,\n", " 2.84010180e-01, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 2.73561927e-02, 1.47345086e-01, 2.56011589e-01,\n", " 2.81930285e-01, 2.85267356e-01, -4.22620469e-01,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],\n", " [ -2.66774214e-02, -2.23107591e-02, -1.19285758e-01,\n", " -2.23129477e-01, -2.87427339e-01, -4.32154370e-01,\n", " -1.92558236e-01, 2.77589130e-02, 2.36578697e-01,\n", " 3.65436465e-01, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " -2.98970708e-02, -9.40681674e-02, 2.48102042e-02,\n", " 2.34633815e-01, 3.67053739e-01, 4.87750569e-01,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],\n", " [ -2.97178802e-01, -2.85558434e-01, -1.72785009e-01,\n", " 1.52402057e-01, 4.59196777e-01, -2.14202659e-01,\n", " 1.87158167e-01, 3.72466946e-01, 1.41007900e-01,\n", " -2.11049032e-01, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " -1.48188023e-02, 9.14298210e-02, 3.32901526e-01,\n", " 1.39848677e-01, -2.11983431e-01, 3.13422790e-01,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],\n", " [ 5.28146766e-01, 1.95267774e-01, -2.43643372e-01,\n", " -1.07104666e-01, 5.24213406e-01, 1.67066461e-02,\n", " -3.38591405e-01, -1.94745874e-02, 2.91408159e-01,\n", " -2.19860019e-02, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 1.15586606e-03, -1.65408163e-01, -1.74058898e-02,\n", " 2.89012865e-01, -2.20825123e-02, -1.57839943e-01,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],\n", " [ 5.52677579e-01, -2.21286529e-01, -1.69796027e-01,\n", " 3.48154980e-01, -4.44166173e-01, -1.07787892e-01,\n", " -1.27528422e-01, 3.43715089e-01, -1.21986510e-01,\n", " -1.06626072e-01, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " -7.45696437e-03, -6.22993180e-02, 3.07202752e-01,\n", " -1.20984683e-01, -1.07098758e-01, -3.95499428e-02,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],\n", " [ -4.08984368e-01, 4.90842459e-01, -4.45438456e-01,\n", " 3.35336614e-01, -2.94714927e-01, 1.46249558e-01,\n", " -2.21291912e-01, -5.99810589e-03, 1.67251343e-01,\n", " -1.67153214e-01, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 1.01176778e-02, -1.08105235e-01, -5.36096591e-03,\n", " 1.65879718e-01, -1.67895451e-01, -1.58579220e-02,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],\n", " [ -1.70265717e-01, -3.19460977e-01, -2.73805037e-01,\n", " -3.10048709e-01, -7.61346773e-02, -1.85920395e-01,\n", " -2.55209155e-01, -2.65093370e-01, -2.67416326e-01,\n", " -3.32673475e-01, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 1.70557503e-02, 8.65885515e-02, 1.49584906e-01,\n", " 1.63683377e-01, 1.00225145e-01, -2.93057307e-01,\n", " -4.32456489e-01, 0.00000000e+00, 0.00000000e+00],\n", " [ 2.47590809e-01, 2.74408382e-01, 2.45881859e-02,\n", " 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2.71809688e-02,\n", " 4.50957143e-02, 4.27767672e-02, -3.32320185e-02,\n", " 4.17854289e-03, 1.86599830e-01, 4.23077296e-01],\n", " [ -2.44277376e-03, 1.09185342e-02, 2.91809620e-02,\n", " 1.32301721e-02, -2.94210441e-03, 3.94976745e-05,\n", " -9.24834627e-03, -1.21019043e-02, -1.00694510e-02,\n", " -8.74592901e-03, 1.30078168e-02, 3.55520016e-01,\n", " 9.86585043e-02, 3.63597046e-02, 3.13252697e-01,\n", " -3.43533510e-01, 2.23627076e-02, 2.13305680e-02,\n", " 3.56848323e-02, 4.55686761e-03, -1.80944132e-02,\n", " 1.63984065e-02, -6.70069847e-01, -4.39122776e-01]])" ] }, "execution_count": 97, "metadata": {}, "output_type": "execute_result" } ], "source": [ "solution.result" ] }, { "cell_type": "code", "execution_count": 72, "metadata": { "collapsed": true }, "outputs": [], "source": [ "K_hat, B_hat, q_hat, u_hat = solution.functions" ] }, { "cell_type": "code", "execution_count": 73, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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sfJ0oefvfKhH5op1rJ7V42xYXOCUlJZg9ezaWLl2KO++8EwAwYMAA/PDDDxg1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\nD77RGhzw5YBhAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pts = np.linspace(domain[0], domain[1], 1000)\n", "fig, axes = plt.subplots(4, 1)\n", "axes[0].plot(pts, K_hat(pts))\n", "axes[1].plot(pts, B_hat(pts))\n", "axes[2].plot(pts, q_hat(pts))\n", "axes[3].plot(pts, q_hat(pts))\n", "\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 74, "metadata": { "collapsed": true }, "outputs": [], "source": [ "K_resids, B_resids, q_resids, u_resids = solution.residuals(pts)" ] }, { "cell_type": "code", "execution_count": 75, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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ajTCZTAgPD2+13WQydXlibx/1kiQZH31bgP/55BRsDgm3ThiEx+8Zjyg+HdUnOHV54GOO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\nGZoinZOFEEKI21jEnYxtNhtPPPEEy5cv5+GHHw4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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pts = np.linspace(domain[0], domain[1], 1000)\n", "fig, axes = plt.subplots(4, 1)\n", "axes[0].plot(pts, K_resids)\n", "axes[1].plot(pts, B_resids)\n", "axes[2].plot(pts, q_resids)\n", "axes[3].plot(pts, u_resids)\n", "\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [], "source": [ "basic_model_solver.solve(kind=\"Chebyshev\",\n", " coefs_dict=initial_coefs,\n", " domain=domain)\n" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "basic_model_solver.result[\"success\"]" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": true }, "outputs": [], "source": [ "basic_model_viz = pycollocation.Visualizer(basic_model_solver)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "image/png": 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RkexKNbMo2YW5obaP97l7bRepnYHO8XN2NrOtWzLo0KHDAXjllZeTnJaIiEh2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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "basic_model_viz.interpolation_knots = np.linspace(domain[0], domain[1], 1000)\n", "basic_model_viz.solution.plot(subplots=True, style=['r', 'b'])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Solution is not as accurate as I would like..." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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mBQz5+dT73/kou3bF7FMdGU89humXLbhGXIu/Br9koIt7ePqdi/mHlbVyiirj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\nGJXqOnNQ0EX+97/32bp1M0WLPsfMmX4Oa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UD7Y6s5Vo6AQqFQKBTPMDm5fFChUCgUCkUa\nKEdAoVAoFIpnGOUIKBQKhULxDKMcAYVCoVAonmGUI6BQKBQKxTOMcgQUCoVCoXiGUY6AQqFQKBTP\nMP8Pf7tx4vIn8wQAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "basic_model_viz.residuals.plot(subplots=True, style=['r', 'b'])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "...actually, when using noramlized residuals eveything looks great!" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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BMFAyzbP3Ugp7RlgTN7/VXn5kw6Gy/uNRDnaH/qS5bGo8NqQ5AVxKUPIGKhGI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\nrQA+G8f1a7zJsuYLAF6fTqcfM///3j7HvWqx4TbfQJhYz4Z77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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "basic_model_viz.normalized_residuals.plot(logy=True, sharey=True)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [], "source": [ "assets = basic_model_viz.solution[['q', 'K']].prod(axis=1)\n", "liabilities = basic_model_viz.solution.B\n", "equity = assets - liabilities\n", "leverage = assets / equity" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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dzMeKUwBsyjtiliRlQ7qDuTZidkW2JCkrUh3MQ3MjZq8xS5IyItXBfGykGsyOmCVJWZHq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\nDSH0AD8B7k6upLY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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "leverage.plot()" ] }, { "cell_type": "code", "execution_count": 165, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def credit_cycles(t, X, a, m, alpha, R, K_bar):\n", " out = np.array([(1 / X[3]) * ((a + X[2]) * X[0] - R * X[1]) - X[0], \n", " (1 / R) * X[2] * X[0] - X[1],\n", " (R - 1) * X[2] - R * X[3],\n", " (alpha / R) * ((1 / m) * (K_bar - X[0]))**(alpha - 1) - X[3]])\n", " return out\n", "\n", "def jacobian(t, X, a, m, alpha, R, K_bar):\n", " out = np.array([[((a + X[2]) / X[3]) - 1.0, -R / X[3], X[0] / X[3], -X[3]**(-2)],\n", " [(1 / R) * X[2], -1.0, (1 / R) * X[0], 0.0],\n", " [0.0, 0.0, R - 1, -R],\n", " [-(1 / m) * (alpha - 1) * (alpha / R) * ((1 / m) * (K_bar - X[0]))**(alpha - 2), 0.0, 0.0, -1.0]])\n", " return out\n", "\n", "def Kstar(a, m, alpha, R, K_bar):\n", " return K_bar - m * (alpha / (a * R))**(1 / (1 - alpha))\n", "\n", "def Bstar(a, m, alpha, R, K_bar):\n", " return (a / (R - 1)) * Kstar(a, m, alpha, R, K_bar)\n" ] }, { "cell_type": "code", "execution_count": 166, "metadata": { "collapsed": false }, "outputs": [], "source": [ "initial_condition = np.array([Kstar(a, m, alpha, R, K_bar), Bstar(a, m, alpha, R, K_bar), (R / (R - 1)) * a, a])" ] }, { "cell_type": "code", "execution_count": 167, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([K_bar - m*(alpha/(R*a))**(1/(-alpha + 1)),\n", " a*(K_bar - m*(alpha/(R*a))**(1/(-alpha + 1)))/(R - 1), R*a/(R - 1),\n", " a], dtype=object)" ] }, "execution_count": 167, "metadata": {}, "output_type": "execute_result" } ], "source": [ "initial_condition" ] }, { "cell_type": "code", "execution_count": 901, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([ -8.64019967e-12, 0.00000000e+00, 0.00000000e+00,\n", " -9.88098492e-14])" ] }, "execution_count": 901, "metadata": {}, "output_type": "execute_result" } ], "source": [ "credit_cycles(0, initial_condition)" ] }, { "cell_type": "code", "execution_count": 868, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[ 1.01000000e+02, -9.61904762e-01, 9.52163239e+02,\n", " -9.07029478e-01],\n", " [ 1.05000000e+02, -1.00000000e+00, 9.89872674e+02,\n", " 0.00000000e+00],\n", " [ 0.00000000e+00, 0.00000000e+00, 1.00000000e-02,\n", " -1.01000000e+00],\n", " [ 2.15879931e+00, 0.00000000e+00, 0.00000000e+00,\n", " -1.00000000e+00]])" ] }, "execution_count": 868, "metadata": {}, "output_type": "execute_result" } ], "source": [ "jacobian(0, initial_condition)" ] }, { "cell_type": "code", "execution_count": 98, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from scipy import linalg" ] }, { "cell_type": "code", "execution_count": 99, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ ":0: FutureWarning: IPython widgets are experimental and may change in the future.\n" ] } ], "source": [ "from IPython.html.widgets import fixed, interact, FloatSliderWidget" ] }, { "cell_type": "code", "execution_count": 170, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def eigenvalues(a=1.0, m=1.0, alpha=0.33, R=1.05, K_bar=10.0):\n", " steady_state = np.array([Kstar(a, m, alpha, R, K_bar),\n", " Bstar(a, m, alpha, R, K_bar),\n", " (R / (R - 1)) * a,\n", " a])\n", " vals, vecs = linalg.eig(jacobian(0, steady_state, a, m, alpha, R, K_bar))\n", " print vals" ] }, { "cell_type": "code", "execution_count": 172, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 4.96886453e+04+86405.36943471j 4.96886453e+04-86405.36943471j\n", " -9.93761281e+04 +0.j 4.01197590e-08 +0.j ]\n" ] } ], "source": [ "interact(eigenvalues, a=(0.0, 1e3, 1e0), m=(0.0, 1e2, 1e-1), R=(0.0, 1e2, 1e-2), K_bar=(0.0, 1e4, 1e1))" ] }, { "cell_type": "code", "execution_count": 1120, "metadata": { "collapsed": false }, "outputs": [], "source": [ "params = 2.0, 0.5, 0.33, 1.01, 500.0\n", "problem = ivp.IVP(credit_cycles, jacobian)\n", "problem.f_params = params\n", "problem.jac_params = params" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "

Full model

" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [], "source": [ "lamda, pi, phi, = sym.symbols('lamda, pi, phi')\n", "\n", "# full model from Kiyotaki and Moore \"credit-cycles\" paper\n", "K_dot = (pi / (phi + u)) * ((a + q + lamda * phi) * K - R * B) - pi * lamda * K\n", "B_dot = (R - 1) * B + (phi * (1 - lamda) - a) * K\n", "q_dot = (R - 1) * q - R * u\n", "u_dot = (1 / R) * mpk.subs({k: (1 / m) * (K_bar - K)}) - u\n", "\n", "rhs = {'K': K_dot, 'B': B_dot, 'q': q_dot, 'u': u_dot}" ] }, { "cell_type": "code", "execution_count": 85, "metadata": { "collapsed": true }, "outputs": [], "source": [ "bcs = {}\n", "\n", "ustar = ((pi * a - (1 - lamda) * (1 - R + pi * R) * phi) / \n", " (lamda * pi + (1 - lamda) * (1 - R + pi * R)))\n", "qstar = (R / (R - 1)) * ustar\n", "Kstar = K_bar - m * (alpha / (ustar * R))**(1 / (1 - alpha))\n", "Bstar = ((a - (1 - lamda) * phi) / (R - 1)) * Kstar\n", "\n", "# initial conditions for K and B are given\n", "K0 = 75\n", "bcs['lower'] = [K - K0]\n", "\n", "# boundary conditions on B, q and u can be written in terms of steady state values\n", "bcs['upper'] = [B - Bstar, q - qstar, u - ustar]" ] }, { "cell_type": "code", "execution_count": 116, "metadata": { "collapsed": true }, "outputs": [], "source": [ "params = {'a': 1.05, 'pi': 0.05, 'phi': 20.0, 'lamda': 0.975,'m': 1.0, 'alpha': 0.16,\n", " 'R': 1.01, 'K_bar': 100}" ] }, { "cell_type": "code", "execution_count": 117, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# set up the model and solver\n", "full_model = pycollocation.SymbolicBoundaryValueProblem(dependent_vars=['K', 'B', 'q', 'u'],\n", " independent_var='t',\n", " rhs=rhs,\n", " boundary_conditions=bcs,\n", " params=params)\n", "\n", "full_model_solver = pycollocation.OrthogonalPolynomialSolver(full_model)" ] }, { "cell_type": "code", "execution_count": 125, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def Kstar(a, phi, R, alpha, pi, m, lamda, K_bar):\n", " return K_bar - m * (alpha / (ustar(a, phi, R, alpha, pi, m, lamda, K_bar) * R))**(1 / (1 - alpha))\n", "\n", "def Bstar(a, phi, R, alpha, pi, m, lamda, K_bar):\n", " return ((a - (1 - lamda) * phi) / (R - 1)) * Kstar(a, phi, R, alpha, pi, m, lamda, K_bar)\n", "\n", "def qstar(a, phi, R, alpha, pi, m, lamda, K_bar):\n", " return (R / (R - 1)) * ustar(a, phi, R, alpha, pi, m, lamda, K_bar)\n", " \n", "def ustar(a, phi, R, alpha, pi, m, lamda, K_bar):\n", " u = ((pi * a - (1 - lamda) * (1 - R + pi * R) * phi) / \n", " (lamda * pi + (1 - lamda) * (1 - R + pi * R)))\n", " return u\n", "\n", "# specify an initial guess\n", "domain = [0, 25]\n", "ts = np.linspace(domain[0], domain[1], 1000)\n", "Ks = Kstar(**params) - (Kstar(**params) - K0) * np.exp(-ts) * np.cos(2.0 * np.pi * ts)\n", "initial_capital_poly = np.polynomial.Chebyshev.fit(ts, Ks, 25, domain)\n", "\n", "# initial value of debt is some multiple of capital stock\n", "B0 = 1.5 * K0\n", "Bs = Bstar(**params) - (Bstar(**params) - B0) * np.exp(-ts) #* np.cos(2.0 * np.pi * ts)\n", "initial_debt_poly = np.polynomial.Chebyshev.fit(ts, Bs, 25, domain)\n", "\n", "# starting with K0 > Kstar, must be that u0 > ustar\n", "us = ustar(**params) - (ustar(**params) - 1.5 * ustar(**params)) * np.exp(-ts) #* np.cos(2.0 * np.pi * ts)\n", "initial_user_cost_poly = np.polynomial.Chebyshev.fit(ts, us, 25, domain)\n", "\n", "# starting with K0 > Kstar, must be that q0 > qstar\n", "qs = qstar(**params) - (qstar(**params) - 1.5 * qstar(**params)) * np.exp(-ts) #* np.cos(2.0 * np.pi * ts)\n", "initial_land_price_poly = np.polynomial.Chebyshev.fit(ts, qs, 25, domain)\n", "\n", "initial_coefs = {'K': initial_capital_poly.coef, 'B': initial_debt_poly.coef, \n", " 'u': initial_user_cost_poly.coef, 'q': initial_land_price_poly.coef}" ] }, { "cell_type": "code", "execution_count": 119, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def jacobian(t, X, a, phi, R, alpha, pi, m, lamda, K_bar):\n", " out = np.array([[(pi / (phi + X[3])) * (a + X[2] + lamda * phi) - pi * lamda, -(pi / (phi + X[3])) * R, (pi / (phi + X[3])) * X[0], -(pi / (phi + X[3])**2) * ((a + X[2] + lamda * phi) * X[0] - R * X[1])],\n", " [(R - 1) * X[1] + (phi * (1 - lamda) - a), (R - 1), 0.0, 0.0],\n", " [0.0, 0.0, R - 1, -R],\n", " [-(1 / m) * (alpha - 1) * (alpha / R) * ((1 / m) * (K_bar - X[0]))**(alpha - 2), 0.0, 0.0, -1.0]])\n", " return out\n", "\n", "def eigenvalues(a=1.0, phi=20.0, pi=0.05, lamda=0.975, m=1.0, alpha=0.33, R=1.05, K_bar=10.0):\n", " steady_state = np.array([Kstar(a, phi, R, alpha, pi, m, lamda, K_bar),\n", " Bstar(a, phi, R, alpha, pi, m, lamda, K_bar),\n", " qstar(a, phi, R, alpha, pi, m, lamda, K_bar),\n", " ustar(a, phi, R, alpha, pi, m, lamda, K_bar)])\n", " vals, vecs = linalg.eig(jacobian(0, steady_state, a, phi, R, alpha, pi, m, lamda, K_bar))\n", " print vals\n", " print np.absolute(vals)" ] }, { "cell_type": "code", "execution_count": 120, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[-0.96239413+0.j 0.03119783+0.31974317j 0.03119783-0.31974317j\n", " 0.05000000+0.j ]\n", "[ 0.96239413 0.32126158 0.32126158 0.05 ]\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 120, "metadata": {}, "output_type": "execute_result" } ], "source": [ "interact(eigenvalues, a=(1.0, 2.0, 1e-2), alpha=(1e-2, 1-1e-2, 1e-2), m=(0.0, 1e2, 1e-1), R=(0.0, 1e2, 1e-2), K_bar=(0.0, 1e4, 1e1))" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 126, "metadata": { "collapsed": false }, "outputs": [], "source": [ "full_model_solver.solve(kind=\"Chebyshev\",\n", " coefs_dict=initial_coefs,\n", " domain=domain)\n" ] }, { "cell_type": "code", "execution_count": 127, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "False" ] }, "execution_count": 127, "metadata": {}, "output_type": "execute_result" } ], "source": [ "full_model_solver.result[\"success\"]" ] }, { "cell_type": "code", "execution_count": 123, "metadata": { "collapsed": true }, "outputs": [], "source": [ "full_model_viz = pycollocation.Visualizer(full_model_solver)" ] }, { "cell_type": "code", "execution_count": 124, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([,\n", " ,\n", " ,\n", " ], dtype=object)" ] }, "execution_count": 124, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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1NqUlfXuy4uI8yecUkzxOPcnj9JB8Tr2eBn5JVVOx/YC9O8wvAOYBaK0N4AZg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\nCyGEEGlGgrcQQgiRZiR4CyGEEGnm/wOxcPxoSpdD1AAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "full_model_viz.interpolation_knots = np.linspace(domain[0], domain[1], 1000)\n", "full_model_viz.solution.plot(subplots=True)" ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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qAnKT0bofHh4VXYN8l9/6+qpYjtGYwcFhVKtVQ9/72toaBgYGYTabpTMltDFP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\ni9R1z0zoR816H29UPS+HmnAHRVFWKopSgWoLcEu4zofb0w8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SU9Nxu93s2bOH6dNnmJZX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\nUTGFhUXs2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6uJSoUZBePjbN1qKOSCw8GGNjQUQ29vGOvra4jHQy2GKWBgII59+8Za5yy0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\nLpfx+OOPYXt7G81mEw6HA3a7vfW/DXY7+9xoNDA7ewFvfvNb4ff7sbu7h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