{ "cells": [ { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "# Industry Entry-Exit Model\n", "\n", "\n", "**Randall Romero Aguilar, PhD**\n", "\n", "This demo is based on the original Matlab demo accompanying the Computational Economics and Finance 2001 textbook by Mario Miranda and Paul Fackler.\n", "\n", "Original (Matlab) CompEcon file: **demdp03.m**\n", "\n", "Running this file requires the Python version of CompEcon. This can be installed with pip by running\n", "\n", " !pip install compecon --upgrade\n", "\n", "Last updated: 2022-Oct-10\n", "
" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "## About\n", "\n", "A firm operates in an uncertain profit environment. At the beginning of each period, the firm observes its potential short-run operating profit over the coming period $\\pi$, which may be negative, and decides whether to operate, making a short-run profit $\\pi$, or not operate, making a short-run profit $0$. Although the firm faces no fixed costs, it incurs a shutdown cost $K_0$ when it closes and a start-up cost $K_1$ when it reopens. The short-run profit $\\pi$ is an exogenous continuous-valued Markov process\n", "\\begin{equation}\n", " \\pi_{t+1} = h(\\pi_t, \\epsilon_{t+1})\n", "\\end{equation}\n", "\n", "**What is the optimal entry-exit policy?** In particular, how low must the short-run profit be for an operating firm to close, and how high must the short-run profit be for nonoperating firm to reopen? \n", "\n", "This is an infinite horizon, stochastic model with time $t$ measured in years. The state variables\n", "\\begin{align}\n", " \\pi &\\in (−\\infty,\\infty)\\\\\n", " d &\\in \\{0, 1\\}\n", "\\end{align}\n", "\n", "are the current short-run profit, a continuous variable, and the operational status of the firm, a binary variable that equals 1 if the firm is operating and 0 if the firm is not operating. The choice variable\n", "\\begin{equation}\n", " j \\in \\{0, 1\\}\n", "\\end{equation}\n", "\n", "is the operating decision for the coming year, a binary variable that equals 1 if the firm operates and 0 if does not operate. The state transition function is \n", "\\begin{equation}\n", " g(\\pi, d, j, \\epsilon) = h(\\pi, \\epsilon), j)\n", "\\end{equation}\n", "\n", "The reward function is\n", "\\begin{equation}\n", " f(\\pi, d, j) = \\pi j − K_1(1 − d)j − K_0 d(1 − j)\n", "\\end{equation}\n", "\n", "The value of the firm, given that the current short-run profit is $\\pi$ and the firm's operational status is $d$, satisfies the Bellman equation\n", "\\begin{equation}\n", " V(\\pi,d) = \\max_{j=0,1}\\left\\{\\pi j − K_1(1−d)j − K_0d(1−j) + \\delta E_\\epsilon V\\left(h(\\pi,\\epsilon),j\\right)\\right\\}\n", "\\end{equation}\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "Collapsed": "false" }, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "from compecon import BasisSpline, DPmodel,qnwnorm" ] }, { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "### The reward function\n", "\n", "The reward function is\n", "\\begin{equation}\n", " f(\\pi, d, j) = \\pi j − K_1(1 − d)j − K_0 d(1 − j)\n", "\\end{equation}\n", "\n", " where the exit cost is $K_0=0$ and the entry cost is $K_1=10$." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "Collapsed": "false" }, "outputs": [], "source": [ "K0 = 0.0\n", "K1 = 10\n", "\n", "def profit(p, x, d, j):\n", " return p * j - K1 * (1 - d) * j - K0 * d * (1 - j)" ] }, { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "### The transition function\n", "\n", "Assuming that the short-run profit $\\pi$ is an exogenous Markov process \n", "\\begin{equation}\n", " \\pi_{t+1} = g(\\pi_t,\\epsilon_{t+1}) = \\bar{\\pi} + \\gamma(\\pi_t − \\bar{\\pi}) + \\epsilon_{t+1}\n", "\\end{equation} \n", "where $\\bar{\\pi}=1.0$ and $\\gamma=0.7$. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "Collapsed": "false" }, "outputs": [], "source": [ "pbar = 1.0\n", "gamma = 0.7\n", "\n", "def transition(p, x, d, j, in_, e):\n", " return pbar + gamma * (p - pbar) + e" ] }, { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "In the transition function $\\epsilon_t$ is an i.i.d. normal(0, $σ^2$), with $\\sigma=1$. We discretize this distribution by using a discrete distribution, matching the first 10 moments of the normal distribution." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "Collapsed": "false" }, "outputs": [], "source": [ "m = 5 # number of profit shocks\n", "sigma = 1.0\n", "[e,w] = qnwnorm(m,0,sigma **2)" ] }, { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "The collocation method calls for the analyst to select $n$ basis functions $\\varphi_j$ and $n$ collocation nodes $(\\pi_i,d_i)$, and form the value function approximant $V(\\pi,d) \\approx \\sum_{j=1}^{n} c_j\\varphi_j(\\pi,d)$ whose coefficients $c_j$ solve the collocation equation\n", "\n", "\\begin{equation}\n", " \\sum_{j=1}^{n} c_j\\varphi_j(\\pi_i,d_i) = \\max_{x\\in\\{0,1\\}}\\left\\{\\pi_i x − K_1(1−d_i)x − K_0 d_i(1−x) + \\delta\\sum_{k=1}^{m}\\sum_{j=1}^{n}w_k c_j \\varphi_j(\\hat{\\pi}_{ik},x)\\right\\}\n", "\\end{equation}\n", "\n", "where $\\hat\\pi_{ik}=g(\\pi_i,\\epsilon_k)$ and where $\\epsilon_k$ and $w_k$ represent quadrature nodes and weights for\n", "the normal shock.\n", "\n", "For the approximation, we use a cubic spline basis with $n=250$ nodes between $p_\\text{min}=-20$ and $p_\\text{max}=20$." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "Collapsed": "false", "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "A 1-dimension Cubic spline basis: using 250 Canonical nodes and 250 polynomials\n", "___________________________________________________________________________\n", "\tprofit: 250 nodes in [-20.00, 20.00]\n", "\n", "===========================================================================\n", "WARNING! Class Basis is still work in progress\n" ] } ], "source": [ "n = 250\n", "pmin = -20\n", "pmax = 20\n", "basis = BasisSpline(n, pmin, pmax, labels=['profit'])\n", "print(basis)" ] }, { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "Discrete states and discrete actions are" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "Collapsed": "false" }, "outputs": [], "source": [ "dstates = ['idle', 'active']\n", "dactions = ['close', 'open']" ] }, { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "The Bellman equation is represeted by a ```DPmodel``` object, where we assume a discount factor of $\\delta=0.9$. Notice that the discrete state transition is deterministic, with transition matrix \n", "\\begin{equation}\n", " h=\\begin{bmatrix}0&0\\\\1&1\\end{bmatrix}\n", "\\end{equation} " ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "Collapsed": "false" }, "outputs": [], "source": [ "model = DPmodel(basis,\n", " profit, transition,\n", " i=dstates,\n", " j=dactions,\n", " discount=0.9, e=e, w=w,\n", " h=[[0, 0], [1, 1]])" ] }, { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "## SOLUTION\n", "\n", "To solve the model, we simply call the ```solve``` method on the ```model``` object." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "Collapsed": "false" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Solving infinite-horizon model collocation equation by Newton's method\n", "iter change time \n", "------------------------------\n", " 0 6.0e+01 0.0965\n", " 1 3.2e+01 0.1649\n", " 2 2.9e+00 0.2309\n", " 3 4.3e-01 0.3035\n", " 4 4.9e-14 0.3886\n", "Elapsed Time = 0.39 Seconds\n" ] }, { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
profitivalueresidj*value[close]value[open]
profit
idle-20.000000-20.00000000.894342-1.110223e-16close0.894342-29.105658
-19.983994-19.98399400.894542-5.251344e-11close0.894542-29.089452
-19.967987-19.96798700.894743-5.991030e-11close0.894743-29.073245
-19.951981-19.95198100.894943-2.191858e-11close0.894943-29.057038
-19.935974-19.93597400.8951444.235901e-11close0.895144-29.040830
\n", "
" ], "text/plain": [ " profit i value resid j* value[close] \\\n", " profit \n", "idle -20.000000 -20.000000 0 0.894342 -1.110223e-16 close 0.894342 \n", " -19.983994 -19.983994 0 0.894542 -5.251344e-11 close 0.894542 \n", " -19.967987 -19.967987 0 0.894743 -5.991030e-11 close 0.894743 \n", " -19.951981 -19.951981 0 0.894943 -2.191858e-11 close 0.894943 \n", " -19.935974 -19.935974 0 0.895144 4.235901e-11 close 0.895144 \n", "\n", " value[open] \n", " profit \n", "idle -20.000000 -29.105658 \n", " -19.983994 -29.089452 \n", " -19.967987 -29.073245 \n", " -19.951981 -29.057038 \n", " -19.935974 -29.040830 " ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "S = model.solve(show=True)\n", "S.head()" ] }, { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "### Plot Action-Contingent Value Functions" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "Collapsed": "false" }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig1,axs = plt.subplots(1,2,sharey=True, figsize=[12,5])\n", "\n", "msgs = ['Profit Entry', 'Profit Exit']\n", "\n", "for ax, state in zip(axs, dstates):\n", " subdata = S.loc[state, ['value[close]', 'value[open]']]\n", " ax.plot(subdata)\n", " ax.set(title= f\"Value of a currently {state} firm\",\n", " xlabel='Potential Profit',\n", " ylabel='Value of Firm')\n", " \n", " ax.legend(dactions)\n", " \n", " subdata['v.diff'] = subdata['value[open]'] - subdata['value[close]']\n", " pcrit = np.interp(0, subdata['v.diff'], subdata.index)\n", " vcrit = np.interp(pcrit, subdata.index, subdata['value[close]'])\n", " \n", " ax.plot(pcrit, vcrit, 'wo')\n", " ax.annotate(f'$p^* = {pcrit:.2f}$', [pcrit, vcrit], fontsize=11, va='top')\n", " " ] }, { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "### Plot Residual\n", "\n", "We normalize the residuals as percentage of the value function. Notice the spikes at the \"Profit entry\" and \"Profit exit\" points." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "Collapsed": "false" }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "S['resid2'] = 100 * (S.resid / S.value)\n", "\n", "fig2, ax = plt.subplots()\n", "\n", "ax.plot(S['resid2'].unstack(level=0))\n", "ax.set(title='Bellman Equation Residual',\n", " xlabel='Potential Profit',\n", " ylabel='Percent Residual')\n", " \n", "ax.legend(dactions);" ] }, { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "## SIMULATION" ] }, { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "We simulate the model 50000 times for a time horizon $T=50$, starting with an operating firm ($d=1$) at the long-term profit mean $\\bar{\\pi}$. To be able to reproduce these results, we set the random seed at an arbitrary value of 945." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "Collapsed": "false" }, "outputs": [], "source": [ "T = 50\n", "nrep = 50000\n", "p0 = np.tile(pbar, (1, nrep))\n", "d0 = 1\n", "data = model.simulate(T, p0, d0, seed=945)" ] }, { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "### Print Ergodic Moments" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "Collapsed": "false", "scrolled": true }, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
Ergodic MeansErgodic Standard Deviations
Profit Contribution1.001.37
Activity0.940.24
\n", "
" ], "text/plain": [ " Ergodic Means Ergodic Standard Deviations\n", "Profit Contribution 1.00 1.37\n", "Activity 0.94 0.24" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ergodic = pd.DataFrame({\n", " 'Ergodic Means' : [data['profit'].mean(), (data['i'] == 'active').mean()],\n", " 'Ergodic Standard Deviations': [data['profit'].std(), (data['i'] == 'active').std()]},\n", " index=['Profit Contribution', 'Activity'])\n", "\n", "ergodic.round(2)" ] }, { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "### Plot Simulated and Expected Continuous State Path" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "Collapsed": "false" }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "subdata = data.query(\"_rep < 3\").set_index([\"time\", \"_rep\"]).unstack()\n", "\n", "fig3, ax = plt.subplots()\n", "\n", "ax.plot(subdata[\"profit\"])\n", "ax.set(title='Simulated and Expected Profit Contribution', \n", " xlabel='Period',\n", " ylabel='Profit Contribution')\n", "\n", "ax.plot(data[['time','profit']].groupby('time').mean(),'k--',label='mean')\n", "ax.legend();" ] }, { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "### Plot Expected Discrete State Path" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "Collapsed": "false", "scrolled": true }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data['ii'] = data['i'] == 'active'\n", "probability_of_active = data[['time','ii']].groupby('time').mean()\n", "\n", "fig4, ax = plt.subplots()\n", "\n", "ax.plot(probability_of_active)\n", "ax.set(title='Probability of Operation', \n", " xlabel='Period', \n", " ylabel='Probability');" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3.9.7 ('base')", "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": "3.9.7" }, "vscode": { "interpreter": { "hash": "ad2bdc8ecc057115af97d19610ffacc2b4e99fae6737bb82f5d7fb13d2f2c186" } } }, "nbformat": 4, "nbformat_minor": 4 }