{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "
\n", " \n", " \"QuantEcon\"\n", " \n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Optimal Taxation in an LQ Economy\n", "\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Contents\n", "\n", "- [Optimal Taxation in an LQ Economy](#Optimal-Taxation-in-an-LQ-Economy) \n", " - [Overview](#Overview) \n", " - [The Ramsey Problem](#The-Ramsey-Problem) \n", " - [Implementation](#Implementation) \n", " - [Examples](#Examples) \n", " - [Exercises](#Exercises) \n", " - [Solutions](#Solutions) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Overview\n", "\n", "In this lecture we study optimal fiscal policy in a linear quadratic setting.\n", "\n", "We slightly modify a well-known model of Robert Lucas and Nancy Stokey [[LS83]](../zreferences.html#lucasstokey1983) so that convenient formulas for\n", "solving linear-quadratic models can be applied to simplify the calculations.\n", "\n", "The economy consists of a representative household and a benevolent government.\n", "\n", "The government finances an exogenous stream of government purchases with state-contingent loans and a linear tax on labor income.\n", "\n", "A linear tax is sometimes called a flat-rate tax.\n", "\n", "The household maximizes utility by choosing paths for consumption and labor, taking prices and the government’s tax rate and borrowing plans as given.\n", "\n", "Maximum attainable utility for the household depends on the government’s tax and borrowing plans.\n", "\n", "The *Ramsey problem* [[Ram27]](../zreferences.html#ramsey1927) is to choose tax and borrowing plans that maximize the household’s welfare, taking the household’s optimizing behavior as given.\n", "\n", "There is a large number of competitive equilibria indexed by different government fiscal policies.\n", "\n", "The Ramsey planner chooses the best competitive equilibrium.\n", "\n", "We want to study the dynamics of tax rates, tax revenues, government debt under a Ramsey plan.\n", "\n", "Because the Lucas and Stokey model features state-contingent government debt, the government debt dynamics differ substantially from those in a model of Robert Barro [[Bar79]](../zreferences.html#barro1979).\n", "\n", "The treatment given here closely follows this manuscript, prepared\n", "by Thomas J. Sargent and Francois R. Velde.\n", "\n", "We cover only the key features of the problem in this lecture, leaving you to refer to that source for additional results and intuition." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Model Features\n", "\n", "- Linear quadratic (LQ) model \n", "- Representative household \n", "- Stochastic dynamic programming over an infinite horizon \n", "- Distortionary taxation " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Setup" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "hide-output": true }, "outputs": [], "source": [ "using InstantiateFromURL\n", "# optionally add arguments to force installation: instantiate = true, precompile = true\n", "github_project(\"QuantEcon/quantecon-notebooks-julia\", version = \"0.8.0\")" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "hide-output": false }, "outputs": [], "source": [ "using LinearAlgebra, Statistics" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The Ramsey Problem\n", "\n", "We begin by outlining the key assumptions regarding technology, households and the government sector." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Technology\n", "\n", "Labor can be converted one-for-one into a single, non-storable consumption good.\n", "\n", "In the usual spirit of the LQ model, the amount of labor supplied in each period is unrestricted.\n", "\n", "This is unrealistic, but helpful when it comes to solving the model.\n", "\n", "Realistic labor supply can be induced by suitable parameter values." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Households\n", "\n", "Consider a representative household who chooses a path $ \\{\\ell_t, c_t\\} $\n", "for labor and consumption to maximize\n", "\n", "\n", "\n", "$$\n", "-\\mathbb E \\frac{1}{2} \\sum_{t=0}^{\\infty} \\beta^t\n", "\\left[\n", " (c_t - b_t)^2 + \\ell_t^2\n", "\\right] \\tag{1}\n", "$$\n", "\n", "subject to the budget constraint\n", "\n", "\n", "\n", "$$\n", "\\mathbb E \\sum_{t=0}^{\\infty} \\beta^t p^0_t\n", "\\left[\n", " d_t + (1 - \\tau_t) \\ell_t + s_t - c_t\n", "\\right] = 0 \\tag{2}\n", "$$\n", "\n", "Here\n", "\n", "- $ \\beta $ is a discount factor in $ (0, 1) $ \n", "- $ p_t^0 $ is a scaled Arrow-Debreu price at time $ 0 $ of history contingent goods at time $ t+j $ \n", "- $ b_t $ is a stochastic preference parameter \n", "- $ d_t $ is an endowment process \n", "- $ \\tau_t $ is a flat tax rate on labor income \n", "- $ s_t $ is a promised time-$ t $ coupon payment on debt issued by the government \n", "\n", "\n", "The scaled Arrow-Debreu price $ p^0_t $ is related to the unscaled Arrow-Debreu price as follows.\n", "\n", "If we let $ \\pi^0_t(x^t) $\n", "denote the probability (density) of a history $ x^t = [x_t, x_{t-1}, \\ldots, x_0] $ of the state $ x^t $, then\n", "the Arrow-Debreu time $ 0 $ price of a claim on one unit of consumption at date $ t $, history $ x^t $ would be\n", "\n", "$$\n", "\\frac{\\beta^t p^0_t} {\\pi_t^0(x^t)}\n", "$$\n", "\n", "Thus, our scaled Arrow-Debreu price is the ordinary Arrow-Debreu price multiplied by the discount factor $ \\beta^t $ and divided\n", "by an appropriate probability.\n", "\n", "The budget constraint [(2)](#equation-lq-hc) requires that the present value of consumption be restricted to equal the present value of endowments, labor income and coupon payments on bond holdings." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Government\n", "\n", "The government imposes a linear tax on labor income, fully committing to a stochastic path of tax rates at time zero.\n", "\n", "The government also issues state-contingent debt.\n", "\n", "Given government tax and borrowing plans, we can construct a competitive equilibrium with distorting government taxes.\n", "\n", "Among all such competitive equilibria, the Ramsey plan is the one that maximizes the welfare of the representative consumer." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exogenous Variables\n", "\n", "Endowments, government expenditure, the preference shock process $ b_t $, and\n", "promised coupon payments on initial government debt $ s_t $ are all exogenous, and given by\n", "\n", "- $ d_t = S_d x_t $ \n", "- $ g_t = S_g x_t $ \n", "- $ b_t = S_b x_t $ \n", "- $ s_t = S_s x_t $ \n", "\n", "\n", "The matrices $ S_d, S_g, S_b, S_s $ are primitives and $ \\{x_t\\} $ is\n", "an exogenous stochastic process taking values in $ \\mathbb R^k $.\n", "\n", "We consider two specifications for $ \\{x_t\\} $.\n", "\n", "\n", "\n", "1. Discrete case: $ \\{x_t\\} $ is a discrete state Markov chain with transition matrix $ P $. \n", "1. VAR case: $ \\{x_t\\} $ obeys $ x_{t+1} = A x_t + C w_{t+1} $ where $ \\{w_t\\} $ is independent zero mean Gaussian with identify covariance matrix. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Feasibility\n", "\n", "The period-by-period feasibility restriction for this economy is\n", "\n", "\n", "\n", "$$\n", "c_t + g_t = d_t + \\ell_t \\tag{3}\n", "$$\n", "\n", "A labor-consumption process $ \\{\\ell_t, c_t\\} $ is called *feasible* if [(3)](#equation-lq-feasible) holds for all $ t $." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Government budget constraint\n", "\n", "Where $ p_t^0 $ is again a scaled Arrow-Debreu price, the time zero government budget constraint is\n", "\n", "\n", "\n", "$$\n", "\\mathbb E \\sum_{t=0}^{\\infty} \\beta^t p^0_t\n", "(s_t + g_t - \\tau_t \\ell_t ) = 0 \\tag{4}\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Equilibrium\n", "\n", "An *equilibrium* is a feasible allocation $ \\{\\ell_t, c_t\\} $, a sequence\n", "of prices $ \\{p_t^0\\} $, and a tax system $ \\{\\tau_t\\} $ such that\n", "\n", "1. The allocation $ \\{\\ell_t, c_t\\} $ is optimal for the household given $ \\{p_t^0\\} $ and $ \\{\\tau_t\\} $. \n", "1. The government’s budget constraint [(4)](#equation-lq-gc) is satisfied. \n", "\n", "\n", "The *Ramsey problem* is to choose the equilibrium $ \\{\\ell_t, c_t, \\tau_t, p_t^0\\} $ that maximizes the\n", "household’s welfare.\n", "\n", "If $ \\{\\ell_t, c_t, \\tau_t, p_t^0\\} $ solves the Ramsey problem,\n", "then $ \\{\\tau_t\\} $ is called the *Ramsey plan*.\n", "\n", "The solution procedure we adopt is\n", "\n", "1. Use the first-order conditions from the household problem to pin down\n", " prices and allocations given $ \\{\\tau_t\\} $. \n", "1. Use these expressions to rewrite the government budget constraint\n", " [(4)](#equation-lq-gc) in terms of exogenous variables and allocations. \n", "1. Maximize the household’s objective function [(1)](#equation-lq-hu) subject to the\n", " constraint constructed in step 2 and the feasibility constraint\n", " [(3)](#equation-lq-feasible). \n", "\n", "\n", "The solution to this maximization problem pins down all quantities of interest." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Solution\n", "\n", "Step one is to obtain the first-conditions for the household’s problem,\n", "taking taxes and prices as given.\n", "\n", "Letting $ \\mu $ be the Lagrange multiplier on [(2)](#equation-lq-hc), the first-order\n", "conditions are $ p_t^0 = (c_t - b_t) / \\mu $ and $ \\ell_t = (c_t - b_t)\n", "(1 - \\tau_t) $.\n", "\n", "Rearranging and normalizing at $ \\mu = b_0 - c_0 $, we can write these\n", "conditions as\n", "\n", "\n", "\n", "$$\n", "p_t^0 = \\frac{b_t - c_t}{b_0 - c_0}\n", "\\quad \\text{and} \\quad\n", "\\tau_t = 1 - \\frac{\\ell_t}{b_t - c_t} \\tag{5}\n", "$$\n", "\n", "Substituting [(5)](#equation-lq-hfoc) into the government’s budget constraint [(4)](#equation-lq-gc)\n", "yields\n", "\n", "\n", "\n", "$$\n", "\\mathbb E \\sum_{t=0}^{\\infty} \\beta^t\n", "\\left[ (b_t - c_t)(s_t + g_t - \\ell_t) + \\ell_t^2 \\right] = 0 \\tag{6}\n", "$$\n", "\n", "The Ramsey problem now amounts to maximizing [(1)](#equation-lq-hu) subject to\n", "[(6)](#equation-lq-gc2) and [(3)](#equation-lq-feasible).\n", "\n", "The associated Lagrangian is\n", "\n", "\n", "\n", "$$\n", "\\mathscr L =\n", "\\mathbb E \\sum_{t=0}^{\\infty} \\beta^t\n", "\\left\\{\n", "-\\frac{1}{2} \\left[ (c_t - b_t)^2 + \\ell_t^2 \\right] +\n", "\\lambda\n", "\\left[ (b_t - c_t)(\\ell_t - s_t - g_t) - \\ell_t^2 \\right] +\n", "\\mu_t\n", "[d_t + \\ell_t - c_t - g_t]\n", "\\right\\} \\tag{7}\n", "$$\n", "\n", "The first order conditions associated with $ c_t $ and $ \\ell_t $ are\n", "\n", "$$\n", "-(c_t - b_t ) + \\lambda [- \\ell_t + (g_t + s_t )] = \\mu_t\n", "$$\n", "\n", "and\n", "\n", "$$\n", "\\ell_t - \\lambda [(b_t - c_t) - 2 \\ell_t ] = \\mu_t\n", "$$\n", "\n", "Combining these last two equalities with [(3)](#equation-lq-feasible) and working\n", "through the algebra, one can show that\n", "\n", "\n", "\n", "$$\n", "\\ell_t = \\bar \\ell_t - \\nu m_t\n", "\\quad \\text{and} \\quad\n", "c_t = \\bar c_t - \\nu m_t \\tag{8}\n", "$$\n", "\n", "where\n", "\n", "- $ \\nu := \\lambda / (1 + 2 \\lambda) $ \n", "- $ \\bar \\ell_t := (b_t - d_t + g_t) / 2 $ \n", "- $ \\bar c_t := (b_t + d_t - g_t) / 2 $ \n", "- $ m_t := (b_t - d_t - s_t ) / 2 $ \n", "\n", "\n", "Apart from $ \\nu $, all of these quantities are expressed in terms of exogenous variables.\n", "\n", "To solve for $ \\nu $, we can use the government’s budget constraint again.\n", "\n", "The term inside the brackets in [(6)](#equation-lq-gc2) is $ (b_t - c_t)(s_t + g_t) - (b_t - c_t) \\ell_t + \\ell_t^2 $.\n", "\n", "Using [(8)](#equation-lq-lcex), the definitions above and the fact that $ \\bar \\ell\n", "= b - \\bar c $, this term can be rewritten as\n", "\n", "$$\n", "(b_t - \\bar c_t) (g_t + s_t ) + 2 m_t^2 ( \\nu^2 - \\nu)\n", "$$\n", "\n", "Reinserting into [(6)](#equation-lq-gc2), we get\n", "\n", "\n", "\n", "$$\n", "\\mathbb E\n", "\\left\\{\n", "\\sum_{t=0}^{\\infty} \\beta^t\n", "(b_t - \\bar c_t) (g_t + s_t )\n", "\\right\\}\n", "+\n", "( \\nu^2 - \\nu) \\mathbb E\n", "\\left\\{\n", "\\sum_{t=0}^{\\infty} \\beta^t 2 m_t^2\n", "\\right\\}\n", "= 0 \\tag{9}\n", "$$\n", "\n", "Although it might not be clear yet, we are nearly there because:\n", "\n", "- The two expectations terms in [(9)](#equation-lq-gc22) can be solved for in terms of model primitives. \n", "- This in turn allows us to solve for the Lagrange multiplier $ \\nu $. \n", "- With $ \\nu $ in hand, we can go back and solve for the allocations via [(8)](#equation-lq-lcex). \n", "- Once we have the allocations, prices and the tax system can be derived from\n", " [(5)](#equation-lq-hfoc). " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Computing the Quadratic Term\n", "\n", "Let’s consider how to obtain the term $ \\nu $ in [(9)](#equation-lq-gc22).\n", "\n", "If we can compute the two expected geometric sums\n", "\n", "\n", "\n", "$$\n", "b_0 := \\mathbb E\n", "\\left\\{\n", "\\sum_{t=0}^{\\infty} \\beta^t\n", "(b_t - \\bar c_t) (g_t + s_t )\n", "\\right\\}\n", "\\quad \\text{and} \\quad\n", "a_0 := \\mathbb E\n", "\\left\\{\n", "\\sum_{t=0}^{\\infty} \\beta^t 2 m_t^2\n", "\\right\\} \\tag{10}\n", "$$\n", "\n", "then the problem reduces to solving\n", "\n", "$$\n", "b_0 + a_0 (\\nu^2 - \\nu) = 0\n", "$$\n", "\n", "for $ \\nu $.\n", "\n", "Provided that $ 4 b_0 < a_0 $, there is a unique solution $ \\nu \\in\n", "(0, 1/2) $, and a unique corresponding $ \\lambda > 0 $.\n", "\n", "Let’s work out how to compute mathematical expectations in [(10)](#equation-lq-gc3).\n", "\n", "For the first one, the random variable $ (b_t - \\bar c_t) (g_t + s_t ) $ inside the summation can be expressed as\n", "\n", "$$\n", "\\frac{1}{2} x_t' (S_b - S_d + S_g)' (S_g + S_s) x_t\n", "$$\n", "\n", "For the second expectation in [(10)](#equation-lq-gc3), the random variable $ 2 m_t^2 $ can be written as\n", "\n", "$$\n", "\\frac{1}{2} x_t' (S_b - S_d - S_s)' (S_b - S_d - S_s) x_t\n", "$$\n", "\n", "It follows that both objects of interest are special cases of the expression\n", "\n", "\n", "\n", "$$\n", "q(x_0) = \\mathbb E \\sum_{t=0}^{\\infty} \\beta^t x_t' H x_t \\tag{11}\n", "$$\n", "\n", "where $ H $ is a matrix conformable to $ x_t $ and $ x_t' $ is the transpose of column vector $ x_t $.\n", "\n", "Suppose first that $ \\{x_t\\} $ is the Gaussian VAR described [above](#lq-twospec).\n", "\n", "In this case, the formula for computing $ q(x_0) $ is known to be $ q(x_0) = x_0' Q x_0 + v $, where\n", "\n", "- $ Q $ is the solution to $ Q = H + \\beta A' Q A $, and \n", "- $ v = \\text{trace} \\, (C' Q C) \\beta / (1 - \\beta) $ \n", "\n", "\n", "The first equation is known as a discrete Lyapunov equation, and can be solved\n", "using [this function](https://github.com/QuantEcon/QuantEcon.jl/blob/master/src/matrix_eqn.jl#L6)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Finite state Markov case\n", "\n", "Next suppose that $ \\{x_t\\} $ is the discrete Markov process described [above](#lq-twospec).\n", "\n", "Suppose further that each $ x_t $ takes values in the state space $ \\{x^1, \\ldots, x^N\\} \\subset \\mathbb R^k $.\n", "\n", "Let $ h \\colon \\mathbb R^k \\to \\mathbb R $ be a given function, and suppose that we\n", "wish to evaluate\n", "\n", "$$\n", "q(x_0) = \\mathbb E \\sum_{t=0}^{\\infty} \\beta^t h(x_t)\n", "\\quad \\text{given} \\quad x_0 = x^j\n", "$$\n", "\n", "For example, in the discussion above, $ h(x_t) = x_t' H x_t $.\n", "\n", "It is legitimate to pass the expectation through the sum, leading to\n", "\n", "\n", "\n", "$$\n", "q(x_0) = \\sum_{t=0}^{\\infty} \\beta^t (P^t h)[j] \\tag{12}\n", "$$\n", "\n", "Here\n", "\n", "- $ P^t $ is the $ t $-th power of the transition matrix $ P $ \n", "- $ h $ is, with some abuse of notation, the vector $ (h(x^1), \\ldots, h(x^N)) $ \n", "- $ (P^t h)[j] $ indicates the $ j $-th element of $ P^t h $ \n", "\n", "\n", "It can be show that [(12)](#equation-lq-ise) is in fact equal to the $ j $-th element of\n", "the vector $ (I - \\beta P)^{-1} h $.\n", "\n", "This last fact is applied in the calculations below." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Other Variables\n", "\n", "We are interested in tracking several other variables besides the ones\n", "described above.\n", "\n", "To prepare the way for this, we define\n", "\n", "$$\n", "p^t_{t+j} = \\frac{b_{t+j}- c_{t+j}}{b_t - c_t}\n", "$$\n", "\n", "as the scaled Arrow-Debreu time $ t $ price of a history contingent claim on one unit of consumption at time $ t+j $.\n", "\n", "These are prices that would prevail at time $ t $ if market were reopened at time $ t $.\n", "\n", "These prices are constituents of the present value of government obligations outstanding at time $ t $, which can be expressed as\n", "\n", "\n", "\n", "$$\n", "B_t :=\n", "\\mathbb E_t \\sum_{j=0}^{\\infty} \\beta^j p^t_{t+j}\n", "(\\tau_{t+j} \\ell_{t+j} - g_{t+j}) \\tag{13}\n", "$$\n", "\n", "Using our expression for prices and the Ramsey plan, we can also write\n", "$ B_t $ as\n", "\n", "$$\n", "B_t =\n", "\\mathbb E_t \\sum_{j=0}^{\\infty} \\beta^j\n", "\\frac{ (b_{t+j} - c_{t+j})(\\ell_{t+j} - g_{t+j}) - \\ell^2_{t+j} }\n", "{ b_t - c_t }\n", "$$\n", "\n", "This version is more convenient for computation.\n", "\n", "Using the equation\n", "\n", "$$\n", "p^t_{t+j} = p^t_{t+1} p^{t+1}_{t+j}\n", "$$\n", "\n", "it is possible to verity that [(13)](#equation-lq-cb) implies that\n", "\n", "$$\n", "B_t = (\\tau_t \\ell_t - g_t) + E_t \\sum_{j=1}^\\infty p^t_{t+j} (\\tau_{t+j} \\ell_{t+j} - g_{t+j})\n", "$$\n", "\n", "and\n", "\n", "\n", "\n", "$$\n", "B_t = (\\tau_t \\ell_t - g_t) + \\beta E_t p^t_{t+1} B_{t+1} \\tag{14}\n", "$$\n", "\n", "Define\n", "\n", "\n", "\n", "$$\n", "R^{-1}_{t} := \\mathbb E_t \\beta^j p^t_{t+1} \\tag{15}\n", "$$\n", "\n", "$ R_{t} $ is the gross $ 1 $-period risk-free rate for loans\n", "between $ t $ and $ t+1 $." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### A Martingale\n", "\n", "We now want to study the following two objects, namely,\n", "\n", "$$\n", "\\pi_{t+1} := B_{t+1} - R_t [B_t - (\\tau_t \\ell_t - g_t)]\n", "$$\n", "\n", "and the cumulation of $ \\pi_t $\n", "\n", "$$\n", "\\Pi_t := \\sum_{s=0}^t \\pi_t\n", "$$\n", "\n", "The term $ \\pi_{t+1} $ is the difference between two quantities:\n", "\n", "> - $ B_{t+1} $, the value of government debt at the start of period $ t+1 $. \n", "- $ R_t [B_t + g_t - \\tau_t ] $, which is what the government would have owed at the beginning of\n", " period $ t+1 $ if it had simply borrowed at the one-period risk-free rate rather than selling state-contingent securities. \n", "\n", "\n", "\n", "Thus, $ \\pi_{t+1} $ is the excess payout on the actual portfolio of state contingent government debt relative to an alternative\n", "portfolio sufficient to finance $ B_t + g_t - \\tau_t \\ell_t $ and consisting entirely of risk-free one-period bonds.\n", "\n", "Use expressions [(14)](#equation-lq-cb22) and [(15)](#equation-lq-rfr) to obtain\n", "\n", "$$\n", "\\pi_{t+1} = B_{t+1} - \\frac{1}{\\beta E_t p^t_{t+1}} \\left[\\beta E_t p^t_{t+1} B_{t+1} \\right]\n", "$$\n", "\n", "or\n", "\n", "\n", "\n", "$$\n", "\\pi_{t+1} = B_{t+1} - \\tilde E_t B_{t+1} \\tag{16}\n", "$$\n", "\n", "where $ \\tilde E_t $ is the conditional mathematical expectation taken with respect to a one-step transition density\n", "that has been formed by multiplying the original transition density with the likelihood ratio\n", "\n", "$$\n", "m^t_{t+1} = \\frac{p^t_{t+1}}{E_t p^t_{t+1}}\n", "$$\n", "\n", "It follows from equation [(16)](#equation-lq-pidist) that\n", "\n", "$$\n", "\\tilde E_t \\pi_{t+1} = \\tilde E_t B_{t+1} - \\tilde E_t B_{t+1} = 0\n", "$$\n", "\n", "which asserts that $ \\{\\pi_{t+1}\\} $ is a martingale difference sequence under the distorted probability measure, and\n", "that $ \\{\\Pi_t\\} $ is a martingale under the distorted probability measure.\n", "\n", "In the tax-smoothing model of Robert Barro [[Bar79]](../zreferences.html#barro1979), government debt is a random walk.\n", "\n", "In the current model, government debt $ \\{B_t\\} $ is not a random walk, but the `excess payoff` $ \\{\\Pi_t\\} $ on it is." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Implementation\n", "\n", "The following code provides functions for\n", "\n", "1. Solving for the Ramsey plan given a specification of the economy. \n", "1. Simulating the dynamics of the major variables. \n", "\n", "\n", "Description and clarifications are given below" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "hide-output": false }, "outputs": [ { "data": { "text/plain": [ "gen_fig_2 (generic function with 1 method)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "using QuantEcon, Plots, LinearAlgebra, Parameters\n", "gr(fmt = :png);\n", "\n", "abstract type AbstractStochProcess end\n", "\n", "struct ContStochProcess{TF <: AbstractFloat} <: AbstractStochProcess\n", " A::Matrix{TF}\n", " C::Matrix{TF}\n", "end\n", "\n", "\n", "struct DiscreteStochProcess{TF <: AbstractFloat} <: AbstractStochProcess\n", " P::Matrix{TF}\n", " x_vals::Matrix{TF}\n", "end\n", "\n", "struct Economy{TF <: AbstractFloat, SP <: AbstractStochProcess}\n", " β::TF\n", " Sg::Matrix{TF}\n", " Sd::Matrix{TF}\n", " Sb::Matrix{TF}\n", " Ss::Matrix{TF}\n", " proc::SP\n", "end\n", "\n", "function compute_exog_sequences(econ, x)\n", " # compute exogenous variable sequences\n", " Sg, Sd, Sb, Ss = econ.Sg, econ.Sd, econ.Sb, econ.Ss\n", " g, d, b, s = [dropdims(S * x, dims = 1) for S in (Sg, Sd, Sb, Ss)]\n", "\n", " #= solve for Lagrange multiplier in the govt budget constraint\n", " In fact we solve for ν = λ / (1 + 2*λ). Here ν is the\n", " solution to a quadratic equation a(ν^2 - ν) + b = 0 where\n", " a and b are expected discounted sums of quadratic forms of the state. =#\n", " Sm = Sb - Sd - Ss\n", "\n", " return g, d, b, s, Sm\n", "end\n", "\n", "\n", "function compute_allocation(econ, Sm, ν, x, b)\n", " Sg, Sd, Sb, Ss = econ.Sg, econ.Sd, econ.Sb, econ.Ss\n", "\n", " # solve for the allocation given ν and x\n", " Sc = 0.5 .* (Sb + Sd - Sg - ν .* Sm)\n", " Sl = 0.5 .* (Sb - Sd + Sg - ν .* Sm)\n", " c = dropdims(Sc * x, dims = 1)\n", " l = dropdims(Sl * x, dims = 1)\n", " p = dropdims((Sb - Sc) * x, dims = 1) # Price without normalization\n", " τ = 1 .- l ./ (b .- c)\n", " rvn = l .* τ\n", "\n", " return Sc, Sl, c, l, p, τ, rvn\n", "end\n", "\n", "\n", "function compute_ν(a0, b0)\n", " disc = a0^2 - 4a0 * b0\n", "\n", " if disc ≥ 0\n", " ν = 0.5 *(a0 - sqrt(disc)) / a0\n", " else\n", " println(\"There is no Ramsey equilibrium for these parameters.\")\n", " error(\"Government spending (economy.g) too low\")\n", " end\n", "\n", " # Test that the Lagrange multiplier has the right sign\n", " if ν * (0.5 - ν) < 0\n", " print(\"Negative multiplier on the government budget constraint.\")\n", " error(\"Government spending (economy.g) too low\")\n", " end\n", "\n", " return ν\n", "end\n", "\n", "\n", "function compute_Π(B, R, rvn, g, ξ)\n", " π = B[2:end] - R[1:end-1] .* B[1:end-1] - rvn[1:end-1] + g[1:end-1]\n", " Π = cumsum(π .* ξ)\n", " return π, Π\n", "end\n", "\n", "\n", "function compute_paths(econ::Economy{<:AbstractFloat, <:DiscreteStochProcess}, T)\n", " # simplify notation\n", " @unpack β, Sg, Sd, Sb, Ss = econ\n", " @unpack P, x_vals = econ.proc\n", "\n", " mc = MarkovChain(P)\n", " state = simulate(mc, T, init=1)\n", " x = x_vals[:, state]\n", "\n", " # Compute exogenous sequence\n", " g, d, b, s, Sm = compute_exog_sequences(econ, x)\n", "\n", " # compute a0, b0\n", " ns = size(P, 1)\n", " F = I - β.*P\n", " a0 = (F \\ ((Sm * x_vals)'.^2))[1] ./ 2\n", " H = ((Sb - Sd + Sg) * x_vals) .* ((Sg - Ss)*x_vals)\n", " b0 = (F \\ H')[1] ./ 2\n", "\n", " # compute lagrange multiplier\n", " ν = compute_ν(a0, b0)\n", "\n", " # Solve for the allocation given ν and x\n", " Sc, Sl, c, l, p, τ, rvn = compute_allocation(econ, Sm, ν, x, b)\n", "\n", " # compute remaining variables\n", " H = ((Sb - Sc) * x_vals) .* ((Sl - Sg) * x_vals) - (Sl * x_vals).^2\n", " temp = dropdims(F * H', dims = 2)\n", " B = temp[state] ./ p\n", " H = dropdims(P[state, :] * ((Sb - Sc) * x_vals)', dims = 2)\n", " R = p ./ (β .* H)\n", " temp = dropdims(P[state, :] *((Sb - Sc) * x_vals)', dims = 2)\n", " ξ = p[2:end] ./ temp[1:end-1]\n", "\n", " # compute π\n", " π, Π = compute_Π(B, R, rvn, g, ξ)\n", "\n", " return (g = g, d = d, b = b, s = s, c = c,\n", " l = l, p = p, τ = τ, rvn = rvn, B = B,\n", " R = R, π = π, Π = Π, ξ = ξ)\n", "end\n", "\n", "function compute_paths(econ::Economy{<:AbstractFloat, <:ContStochProcess}, T)\n", " # simplify notation\n", " @unpack β, Sg, Sd, Sb, Ss = econ\n", " @unpack A, C = econ.proc\n", "\n", " # generate an initial condition x0 satisfying x0 = A x0\n", " nx, nx = size(A)\n", " x0 = nullspace(I - A)\n", " x0 = x0[end] < 0 ? -x0 : x0\n", " x0 = x0 ./ x0[end]\n", " x0 = dropdims(x0, dims = 2)\n", "\n", " # generate a time series x of length T starting from x0\n", " nx, nw = size(C)\n", " x = zeros(nx, T)\n", " w = randn(nw, T)\n", " x[:, 1] = x0\n", " for t in 2:T\n", " x[:, t] = A *x[:, t-1] + C * w[:, t]\n", " end\n", "\n", " # compute exogenous sequence\n", " g, d, b, s, Sm = compute_exog_sequences(econ, x)\n", "\n", " # compute a0 and b0\n", " H = Sm'Sm\n", " a0 = 0.5 * var_quadratic_sum(A, C, H, β, x0)\n", " H = (Sb - Sd + Sg)'*(Sg + Ss)\n", " b0 = 0.5 * var_quadratic_sum(A, C, H, β, x0)\n", "\n", " # compute lagrange multiplier\n", " ν = compute_ν(a0, b0)\n", "\n", " # solve for the allocation given ν and x\n", " Sc, Sl, c, l, p, τ, rvn = compute_allocation(econ, Sm, ν, x, b)\n", "\n", " # compute remaining variables\n", " H = Sl'Sl - (Sb - Sc)' *(Sl - Sg)\n", " L = zeros(T)\n", " for t in eachindex(L)\n", " L[t] = var_quadratic_sum(A, C, H, β, x[:, t])\n", " end\n", " B = L ./ p\n", " Rinv = dropdims(β .* (Sb- Sc)*A*x, dims = 1) ./ p\n", " R = 1 ./ Rinv\n", " AF1 = (Sb - Sc) * x[:, 2:end]\n", " AF2 = (Sb - Sc) * A * x[:, 1:end-1]\n", " ξ = AF1 ./ AF2\n", " ξ = dropdims(ξ, dims = 1)\n", "\n", " # compute π\n", " π, Π = compute_Π(B, R, rvn, g, ξ)\n", "\n", " return (g = g, d = d, b = b, s = s,\n", " c = c, l = l, p = p, τ = τ,\n", " rvn = rvn, B = B, R = R,\n", " π = π, Π = Π, ξ = ξ)\n", "end\n", "\n", "function gen_fig_1(path)\n", " T = length(path.c)\n", "\n", " plt_1 = plot(path.rvn, lw=2, label = \"tau_t l_t\")\n", " plot!(plt_1, path.g, lw=2, label= \"g_t\")\n", " plot!(plt_1, path.c, lw=2, label= \"c_t\")\n", " plot!(xlabel=\"Time\", grid=true)\n", "\n", " plt_2 = plot(path.rvn, lw=2, label=\"tau_t l_t\")\n", " plot!(plt_2, path.g, lw=2, label=\"g_t\")\n", " plot!(plt_2, path.B[2:end], lw=2, label=\"B_(t+1)\")\n", " plot!(xlabel=\"Time\", grid=true)\n", "\n", " plt_3 = plot(path.R, lw=2, label=\"R_(t-1)\")\n", " plot!(plt_3, xlabel=\"Time\", grid=true)\n", "\n", " plt_4 = plot(path.rvn, lw=2, label=\"tau_t l_t\")\n", " plot!(plt_4, path.g, lw=2, label=\"g_t\")\n", " plot!(plt_4, path.π, lw=2, label=\"pi_t\")\n", " plot!(plt_4, xlabel=\"Time\", grid=true)\n", "\n", " plot(plt_1, plt_2, plt_3, plt_4, layout=(2,2), size = (800,600))\n", "end\n", "\n", "function gen_fig_2(path)\n", "\n", " T = length(path.c)\n", "\n", " paths = [path.ξ, path.Π]\n", " labels = [\"xi_t\", \"Pi_t\"]\n", " plt_1 = plot()\n", " plt_2 = plot()\n", " plots = [plt_1, plt_2]\n", "\n", " for (plot, path, label) in zip(plots, paths, labels)\n", " plot!(plot, 2:T, path, lw=2, label=label, xlabel=\"Time\", grid=true)\n", " end\n", " plot(plt_1, plt_2, layout=(2,1), size = (600,500))\n", "end" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Comments on the Code\n", "\n", "The function `var_quadratic_sum` From `QuantEcon.jl` is for computing the value of [(11)](#equation-lq-eqs)\n", "when the exogenous process $ \\{ x_t \\} $ is of the VAR type described [above](#lq-twospec).\n", "\n", "This code defines two Types: `Economy` and `Path`.\n", "\n", "The first is used to collect all the parameters and primitives of a given LQ\n", "economy, while the second collects output of the computations." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Examples\n", "\n", "Let’s look at two examples of usage.\n", "\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The Continuous Case\n", "\n", "Our first example adopts the VAR specification described [above](#lq-twospec).\n", "\n", "Regarding the primitives, we set\n", "\n", "- $ \\beta = 1 / 1.05 $ \n", "- $ b_t = 2.135 $ and $ s_t = d_t = 0 $ for all $ t $ \n", "\n", "\n", "Government spending evolves according to\n", "\n", "$$\n", "g_{t+1} - \\mu_g = \\rho (g_t - \\mu_g) + C_g w_{g, t+1}\n", "$$\n", "\n", "with $ \\rho = 0.7 $, $ \\mu_g = 0.35 $ and $ C_g = \\mu_g \\sqrt{1 - \\rho^2} / 10 $.\n", "\n", "Here’s the code" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "hide-output": false }, "outputs": [ { "data": { "image/png": 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" }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# for reproducible results\n", "using Random\n", "Random.seed!(42)\n", "\n", "# parameters\n", "β = 1 / 1.05\n", "ρ, mg = .7, .35\n", "A = [ρ mg*(1 - ρ); 0.0 1.0]\n", "C = [sqrt(1 - ρ^2) * mg / 10 0.0; 0 0]\n", "Sg = [1.0 0.0]\n", "Sd = [0.0 0.0]\n", "Sb = [0 2.135]\n", "Ss = [0.0 0.0]\n", "proc = ContStochProcess(A, C)\n", "\n", "econ = Economy(β, Sg, Sd, Sb, Ss, proc)\n", "T = 50\n", "path = compute_paths(econ, T)\n", "\n", "gen_fig_1(path)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The legends on the figures indicate the variables being tracked.\n", "\n", "Most obvious from the figure is tax smoothing in the sense that tax revenue is\n", "much less variable than government expenditure" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "hide-output": false }, "outputs": [ { "data": { "image/png": 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" }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gen_fig_2(path)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "See the original manuscript for comments and interpretation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The Discrete Case\n", "\n", "Our second example adopts a discrete Markov specification for the exogenous process" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "hide-output": false }, "outputs": [ { "data": { "image/png": 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" }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Parameters\n", "β = 1 / 1.05\n", "P = [0.8 0.2 0.0\n", " 0.0 0.5 0.5\n", " 0.0 0.0 1.0]\n", "\n", "# Possible states of the world\n", "# Each column is a state of the world. The rows are [g d b s 1]\n", "x_vals = [0.5 0.5 0.25;\n", " 0.0 0.0 0.0;\n", " 2.2 2.2 2.2;\n", " 0.0 0.0 0.0;\n", " 1.0 1.0 1.0]\n", "Sg = [1.0 0.0 0.0 0.0 0.0]\n", "Sd = [0.0 1.0 0.0 0.0 0.0]\n", "Sb = [0.0 0.0 1.0 0.0 0.0]\n", "Ss = [0.0 0.0 0.0 1.0 0.0]\n", "proc = DiscreteStochProcess(P, x_vals)\n", "\n", "econ = Economy(β, Sg, Sd, Sb, Ss, proc)\n", "T = 15\n", "path = compute_paths(econ, T)\n", "\n", "gen_fig_1(path)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The call `gen_fig_2(path)` generates" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "hide-output": false }, "outputs": [ { "data": { "image/png": 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" }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gen_fig_2(path)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "See the original manuscript for comments and interpretation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercises\n", "\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise 1\n", "\n", "Modify the VAR example [given above](#lq-cc), setting\n", "\n", "$$\n", "g_{t+1} - \\mu_g = \\rho (g_{t-3} - \\mu_g) + C_g w_{g, t+1}\n", "$$\n", "\n", "with $ \\rho = 0.95 $ and $ C_g = 0.7 \\sqrt{1 - \\rho^2} $.\n", "\n", "Produce the corresponding figures." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Solutions" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "hide-output": true }, "outputs": [], "source": [ "# parameters\n", "β = 1 / 1.05\n", "ρ, mg = .95, .35\n", "A = [0. 0. 0. ρ mg*(1-ρ);\n", " 1. 0. 0. 0. 0.;\n", " 0. 1. 0. 0. 0.;\n", " 0. 0. 1. 0. 0.;\n", " 0. 0. 0. 0. 1.]\n", "C = zeros(5, 5)\n", "C[1, 1] = sqrt(1 - ρ^2) * mg / 8\n", "Sg = [1. 0. 0. 0. 0.]\n", "Sd = [0. 0. 0. 0. 0.]\n", "Sb = [0. 0. 0. 0. 2.135]\n", "Ss = [0. 0. 0. 0. 0.]\n", "proc = ContStochProcess(A, C)\n", "econ = Economy(β, Sg, Sd, Sb, Ss, proc)\n", "\n", "T = 50\n", "path = compute_paths(econ, T)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "hide-output": false }, "outputs": [ { "data": { "image/png": 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" }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gen_fig_1(path)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "hide-output": false }, "outputs": [ { "data": { "image/png": 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" }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gen_fig_2(path)" ] } ], "metadata": { "date": 1591310618.637707, "download_nb": 1, "download_nb_path": "https://julia.quantecon.org/", "filename": "lqramsey.rst", "filename_with_path": "dynamic_programming_squared/lqramsey", "kernelspec": { "display_name": "Julia 1.4.2", "language": "julia", "name": "julia-1.4" }, "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", "version": "1.4.2" }, "title": "Optimal Taxation in an LQ Economy" }, "nbformat": 4, "nbformat_minor": 2 }