calculating and using second order accurate solutions of discrete time dynamic equilibrium models we describe an algorithm for calculating second order approximations to the solutions to nonlinear stochastic rational expectations models the paper also explains methods for using such an approximate solution to generate forecasts simulated time paths for the model and evaluations of expected welfare differences across different versions of a model the paper gives conditions for local validity of the approximation that allow for disturbance distributions with unbounded support and allow for non stationarity of the solution process

fiscal policies in the world economy this paper uses a two country general equilibrium model of the world economy in order to analyze the effects of budget deficits and government spending on world rates of interest consumption and international indebtedness it demonstrates the difference between the effects of fiscal expenditures and tax cuts as well as between the effects of current policies and expected future policies it is shown that the qualitative effects of fiscal policies depend on whether the country introducing the policies runs a surplus or a deficit in its current account following the positive analysis of the short run and the steady state effects the paper concludes with a normative analysis of the welfare implications of budget deficits

learning and time varying macroeconomic volatility abstract this paper presents a dsge model in which agents learning about the economy can endogenously generate time varying macroeconomic volatility economic agents use simple models to form expectations and need to learn the relevant parameters their gain coefficient is endogenous and is adjusted according to past forecast errors the model is estimated using likelihood based bayesian methods the endogenous gain is jointly estimated with the structural parameters of the system the estimation results show that private agents appear to have often switched to constant gain learning with a high constant gain during most of the 1970s and until the early 1980s while reverting to a decreasing gain later on as a result the model can generate a pattern of volatility which is increasing in the 1970s and falling in the second half of the sample with a decline that can roughly match the magnitude of the so called great moderation in the 1984 2007 period the paper also documents how a failure to incorporate learning into the estimation may lead econometricians to spuriously find time varying volatility in the exogenous shocks even when these have constant variance by construction

a note on dynamic tax incidence under certain reasonable conditions for a growth model the path of adjustment between steady states generated by a change in an exogenous policy variable is solved for explicitly the overall welfare effect is then shown to be a weighted average of the short and long run effects for a large class of social welfare functions these results are applied to a simple neoclassical growth model for the purpose of investigating the dynamic incidence of a labor income tax contrary to the claims of previous investigators the long run effect is shown to be more important for a wide range of parameter values

optimal capital income taxation with incomplete markets borrowing constraints and constant discounting for a wide class of infinitely lived agent models chamley has shown that the optimal capital income tax rate is zero in the long run lucas has argued that for the u s economy there is a significant welfare gain from switching to this policy this paper shows that for the bewley class of models with incomplete insurance markets and borrowing constraints the optimal tax rate on capital income is positive even in the long run therefore cutting the capital income tax to zero may well lead to welfare losses

tastes and technology in a two country model of the business cycle explaining international trade on international financial markets allows people to insure country specific risk and smooth consumption intertemporally equilibrium models of business cycles with trade on global financial markets typically yield international consumption correlations near one and excessive volatility of investment the authors incorporate nontraded goods in the model and find that the implications for aggregate consumption investment and the trade balance are consistent with business cycle properties of industrialized countries however the model driven by technology shocks alone yields counterfactual implications for comovements between consumption and prices at the sectoral level taste shocks produce price quantity relationships more consistent with the data copyright 1995 by american economic association

optimal taxation in models of endogenous growth we study the problem of optimal taxation in three infinite horizon representative agent endogenous growth models the first model is a convex model in which physical and human capital are perfectly symmetric our second model incorporates elastic labor supply through a lucas style technology analysis of these two models points out the danger of assuming that government expenditures are exogenous in our third model we include government expenditures as a productive input in capital formation showing that the limiting tax rate on capital is no longer zero in numerical simulations we find similar effects on growth and welfare in all three models

the non optimality of proposed monetary policy rules under timeless perspective commitment abstract in a near canonical forward looking model the timeless perspective form of commitment typically provides outcomes that are on average superior to those resulting from discretion the specific condition that appears in the literature is however not optimal from the relevant perspective

spurious welfare reversals in international business cycle models several papers have documented spurious welfare reversals incompletemarkets economy produces a higher level of welfare than the completemarkets economy this paper first demonstrates how conventional linearization can generate approximation errors that can result in welfare reversals using a two country production economy we argue that spurious welfare reversals are not only possible but also plausible under reasonable values for model parameters this paper then proposes an approximation method that modifies the conventional linearization by a bias correction this method can be easily implemented and approximates welfare as accurately as a second order perturbation method

optimal fiscal policy in a business cycle model this paper develops the quantitative implications of optimal fiscal policy in a business cycle model in a stationary equilibrium the ex ante tax rate on capital income is approximately zero there is an equivalence class of ex post capital income tax rates and bond policies that support a given allocation within this class the optimal ex post capital tax rates can range from close to independently and identically distributed to close to a random walk the tax rate on labor income fluctuates very little and inherits the persistence properties of the exogenous shocks thus there is no presumption that optimal labor tax rates follow a random walk most of the welfare gains realized by switching from a tax system like that of the united states to the ramsey system come from an initial period of high taxation on capital income

growth effects of flat rate taxes recent estimates of the potential growth effects of tax reform vary wildly ranging from zero to eight percentage points using an endogenous growth model we assess which model features and parameter values are important for determining the quantitative impact of tax reform we find that the critical parameters are factor shares depreciation rates the elasticity of intertemporal substitution and the elasticity of labor supply the elasticities of substitution in production on the other hand are relatively unimportant the quantitative estimates in several recent papers are compared with each other and with some of the evidence from u s experience we find that robert lucas s conclusion that tax reform would have little or no effect on the u s growth rate is theoretically robust and consistent with the evidence

devaluation fiscal deficits and the real exchange rate this article examines the use of fiscal policies to sustain the effects of a nominal devaluation on the real exchange rate it is shown that the magnitude of the change in the real exchange rate depends not only on the size of the devaluation and the degree of fiscal adjustment but also on the means by which the fiscal deficit is reduced the change in the nominal exchange rate necessary to maintain the depreciation of the real exchange rate will depend on whether the fiscal deficit is eliminated by increasing taxes or by reducing government expenditures on traded and nontraded goods the required depreciation of the domestic currency will be larger if the fiscal deficit is reduced by increasing taxes than it will be if the deficit is cut by lowering government expenditures further the depreciation would be smaller if the cuts in expenditure fell on traded rather than nontraded goods this result implies that the authorities must ensure consistency between exchange rate action and policies to reduce fiscal imbalances in order to achieve a desired level of the real exchange rate necessary to attain balance of payments equilibrium the real exchange rate represents a key relative price in the economy and policies to change it are often the centerpiece of adjustment programs designed to improve international competitiveness and shift resources toward the production of tradable goods consequently it is critical for policymakers to have some idea of the magnitude and time path of the likely response of the real exchange rate to nominal exchange rate action it is a well accepted proposition however that a nominal devaluation will only have a transitory effect on the real exchange rate in the long run domestic wages and prices will rise by the full amount of the devaluation and the real exchange rate will return to its original level to alter the real exchange rate on a permanent basis therefore devaluation has to be supplemented by policies that restrain the increase in domestic factor costs that results from a devaluation generally speaking the effects of a devaluation on the real exchange rate can

functional equivalence between intertemporal and multisectoral investment adjustment costs abstract two types of adjustment cost specifications coexist in macroeconomic models with investment intertemporal adjustment costs which involve a nonlinear substitution between capital and investment in capital accumulation and multisectoral costs which are captured by a nonlinear transformation between consumption and investment this paper demonstrates a functional equivalence between these two specifications one surprising result is that an increase in multisectoral adjustment costs can be equivalent to a decrease in intertemporal adjustment costs depending upon the size of the intertemporal costs we then observe that the functional equivalence implies a problem in identifying the two types of adjustment costs and show ways to solve the problem

the value of interest rate stabilization policies when agents are learning we examine the expectational stability e stability of rational expectations equilibrium under optimal interest rate rules in the context of the standard new keynesian model of the monetary transmission mechanism we focus on the case where the monetary authority adds interest rate stabilization to its other objectives of inflation and output stabilization we consider both the case where the monetary authority lacks a commitment technology and as well as the case of full commitment we show that for both cases optimal interest rate rules yield rational expectations equilibria that are e stable for a wide range of empirically plausible parameter values this finding stands in contrast to the findings of evans and honkapohja 2002 2003ab for optimal monetary policy rules in environments where interest rate stabilization is not part of the central bank s objective function

effective tax rates in macroeconomics cross country estimates of tax rates on factor incomes and consumption abstract this paper proposes a method for computing tax rates using national accounts and revenue statistics using this method we construct time series of tax rates for large industrial countries the method identifies the revenue raised by different taxes at the general government level and defines aggregate measures of the corresponding tax bases this method yields estimates of effective tax rates on factor incomes and consumption consistent with the tax distortions faced by a representative agent in a general equilibrium framework these tax rates compare favorably with existing estimates of marginal tax rates and highlight important international differences in tax policy

learning about monetary policy rules abstract we study macroeconomic systems with forward looking private sector agents and a monetary authority that is trying to control the economy through the use of a linear policy feedback rule we use stability under recursive learning a la evans and honkapohja learning and expectations in macroeconomics princeton university press princeton new jersey 2001 as a criterion for evaluating monetary policy rules in this context we find that considering learning can alter the evaluation of alternative policy rules

growth and exchange rate volatility a panel data analysis the aim of this article is to assess the role of real exchange rate rer volatility on long run economic growth for a set of 82 advanced and emerging economies using a panel data set ranging from 1970 to 2009 with an accurate measure for exchange rate volatility the results for the two step system generalized method of moments gmm panel growth models show that a more less volatile rer has a significant negative positive impact on economic growth the results are also robust for different model specifications

taxing capital in a large open economy abstract this paper analyzes capital taxation in a dynamic optimizing equilibrium model of a large open economy it is shown that the existence of current account imbalances may yield surprising results for example if a country has a current account deficit the tendency of an increased tax on investment to lower wages is dampened if the deficit is sufficiently large an increased investment tax may actually increase both wages and welfare in the long run a country with a current account surplus may find that temporary investment incentives improve its current account in all but the short run

escaping nash inflation an ordinary differential equation ode gives the mean dynamics that govern the convergence to self confirming equilibria of self referential systems under discounted least squares learning another ode governs escape dynamics that recurrently propel away from a self confirming equilibrium in a model with a unique self confirming equilibrium the escape dynamics make the government discover too strong a version of the natural rate hypothesis the escape route dynamics cause recurrent outcomes close to the ramsey commitment inflation rate in a model with an adaptive government

tax analysis in a real business cycle model on measuring harberger triangles and okun gaps abstract a tax distorted real business cycle model is parameterized calibrated and solved numerically in an attempt to measure the size of harberger triangles relative to okun gaps in particular the model constructed is used to study quantitatively the impact of various distortional government tax and subsidy schemes it is shown that the government can use tax policy to stabilize cyclical fluctuations and this is done for the economy being studied the benefits of implementing such a stabilization policy are calculated and compared with the size of the welfare gains realized from reducing various tax distortions

robust stability of monetary policy rules under adaptive learning recent research has explored how minor changes in expectation formation can change the stability properties of a model duffy and xiao 2007 evans and honkapohja 2009 this article builds on this research by examining an economy subject to a variety of monetary policy rules under an endogenous learning algorithm proposed by marcet and nicolini 2003 the results indicate that operational versions of optimal discretionary rules are not robustly stable as in evans and honkapohja 2009 in addition commitment rules are not robust to minor changes in expectational structure and parameter values

optimal fiscal and monetary policy in an economy without capital abstract this paper is concerned with the structure and time consistency of optimal fiscal and monetary policy in an economy without capital in a dynamic context optimal taxation means distributing tax distortions over time in a welfare maximizing way for a barter economy our main finding is that with debt commitments of sufficiently rich maturity structure an optimal policy if one exists is time consistent in a monetary economy the idea of optimal taxation must be broadened to include an inflation tax and we find that time consistency does not carry over an optimal inflation tax requires commitment by rules in a sense that has no counterpart in the dynamic theory of ordinary excise taxes the reason time consistency fails in a monetary economy is that nominal assets should from a welfare maximizing point of view always be taxed away via an immediate inflation in a kind of capital levy this emerges as a new possibility when money is introduced into an economy without capital

accumulation and growth in a two country model a simulation approach abstract this paper analyzes saving and capital accumulation in a two good growth model of two market economies in which economic agents optimize with perfect foresight the goal is to present a model in which short run dynamics and the steady state are soundly integrated we stress the importance of asset markets as the linkage that transmits disturbances both internationally and intertemporally while many components of the model described below can be found in the literature on optimal consumption investment and international growth models we provide a consistent synthesis our framework permits the analysis of structural adjustment in the global economy and the dynamic effects of a wide range of public policies

international coordination of fiscal policy in limiting economies we examine the limiting behavior of cooperative and noncooperative fiscal policies as countries market power goes to zero we show that these policies converge if countries raise revenues through lump sum taxation however if there are unremovable domestic distortions such as distorting taxes there can be gains to coordination even when a single country s policy cannot affect world prices these results differ from the received wisdom in the optimal tariff literature the key distinction is that contrary to the tariff literature the spending decisions of governments are explicitly modeled

economic adjustment and exchange rates in developing countries in spite of the attention paid exchange rates in recent economic debates on developing countries relatively few studies have systematically analyzed in detail the various ramifications of exchange rate policy in these countries in this new volume from the national bureau of economic research leading economists use rigorous models to tackle various exchange rate issues while also illuminating policy implications that emerge from their analyses the volume divided into four main sections addresses the role of exchange rates in stabilization programs and the adjustment process the importance of exchange rate policy during liberalization reform in developing countries exchange rate problems relevant and unique to developing countries illustrated by case studies and the problems defining measuring and identifying determinants of real exchange rates authors of individual papers examine the relation between commercial policies and exchange rates the role of exchange rate policy in stabilization programs the effectiveness of devaluations as a policy tool and the interaction between exchange rate terms of trade an capital flow this research will not only prove crucial to our understanding of the role of exchange rates in developing countries but will clearly set the standard for future work in the field

patience persistence and welfare costs of incomplete markets in open economies abstract we investigate the welfare implications of alternative financial market structures in a two country endowment economy model we obtain an analytic expression for the expected lifetime utility of the representative household when sovereign bonds are the only internationally traded asset and we compare this welfare level with that obtained under complete asset markets the welfare cost of incomplete markets is negligible if agents are very patient and shocks are not very persistent but this cost is dramatically larger if agents are relatively impatient and shocks are highly persistent for realistic cases in which agents are very patient and shocks are highly persistent the welfare cost of incomplete markets is highly sensitive to the specific values of these parameters

interest rate control and nonconvergence to rational expectations this paper investigates the feasibility of a monetary policy aimed at pegging the nominal rate of interest it shows that under general conditions such a policy would produce the well known cumulative process despite the fact that there exists a well behaved rational expectations equilibrium with no tendency for inflation to accelerate or decelerate the cumulative process shows up as the failure of learning to converge to rational expectations specifically the paper shows first in a conventional is lm model with an expectations augmented phillips curve and then in a micro based finance constraint model that if people follow any learning rule based on experience that satisfies a weak condition then the sequence of temporary equilibria under a policy of interest pegging cannot converge the nonconvergent path that will be observed accords with the familiar cumulative process in that inflation accelerates if the market rate of interest has been pegged below the natural rate

a medium term framework for analyzing the real exchange rate with applications to the philippines and tanzania a competitive official real exchange rate is important to external balance and sustainable medium term growth in developing countries this article presents a methodology for estimating appropriate real rate and provides a basis for evaluating the extent to which the prevailing rate is misaligned in particular the medium term equilibrium real exchange rate is evaluated by estimating the effects of structural factors on the trend observed for a country s real rate compared with the rates of its major trading partners taking into account the effects of macroeconomic policy structural factors include terms of trade external capital flows and trade policy plus other factors relevant to the circumstance of individual countries the implied change in the medium term equilibrium real rate is compared with that of a historical reference period the application of this methodology to two developing countries the philippines and tanzania illustrates how it can complement and improve upon other analytic approaches such as those using purchasing power parity and analysis of parallel rates this approach is complemented by an analysis of the relation between a country s real exchange rate and those of its major competitors

optimal monetary and fiscal policy in a currency union we lay out a tractable model for the analysis of optimal monetary and fiscal policy in a currency union the monetary authority sets a common interest rate for the union whereas fiscal policy is implemented at the country level through the choice of government spending in the presence of country specific shocks and nominal rigidities the policy mix that is optimal from the viewpoint of the union as a whole requires that inflation be stabilized at the union level by the common central bank whereas fiscal policy has a country specific stabilization role one beyond the efficient provision of public goods

capital controls and fiscal policy in the world economy an intertemporal utility maximization framework is employed to model a world economy with capital controls the effects of fiscal policy in such an environment are examined several results emerge concerning the international transmission of fiscal policy under capital controls and the nature of comovements in macro economic aggregates such as output employment consumption and investment some of the paper s other results concern the implications of capital controls for ricardian equivalence the role of financing decisions in the international transmission process under capital controls and the effect of capital controls on the magnitude of fiscal induced fluctuations throughout the world economy contr6les des mouvements de capitaux et politique fiscale dans l conomie mondiale les auteurs utilisent une approche par la maximisation intertemporelle de l utilite pour modeliser une economie mondiale dans laquelle des controles sur les mouvements de capitaux existent ils examinent les effets de la politique fiscale dans un tel contexte on tire de ces analyses plusieurs resultats quant i la transmission internationale des effets de la politique fiscale et quant aux mouvements lies de certains agregats economiques comme les niveaux de production d emploi de consommation et d investissement certains autres resultats de cette analyse ont trait aux implications des controles des mouvements de capitaux sur l1 quivalence ricardienne au role des decisions de financement dans le processus international de transmission quand il y a controle des mouvements de capitaux et aux effets des controles sur les mouvements de capitaux sur la magnitude des fluctuations induites a travers l economie mondiale par la politique fiscale helpful comments from two anonymous referees are gratefully acknowledged discussion in workshops held at ucla duke university iowa state university queen s university vanderbilt university vpi and the university of western ontario has also been useful canadian journal of economics revue canadienine d economique xviii no 4 november novembre 1985 printed in canada imprime au canada 0008 4085 85 743 65 1 50 canadian economics association this content downloaded from 207 46 13 129 on mon 27 jun 2016 05 25 03 utc all use subject to http about jstor org terms 744 jeremy greenwood and kent p kimbrough

how much to share welfare effects of fiscal transfers recent sovereign debt crisis has challenged policy makers to explore the possibility of establishing a scal transfer system that could alleviate the negative impact of asymmetric shocks across countries using a simple labor production economy model we rst derive an analytically tractable solution for optimal degree of scal transfers in this economy scal transfers can improve welfare by moving the competitive equilibrium with scal transfers closer to the social planner s solution we then extend the model to a dsge setting with capital formation

recurrent hyperinflations and learning we use a model of boundedly rational learning to account for the observations of recurrent hyperinflations in the 1980 s in a standard monetary model we replace the assumption of full rational expectations by a formal definition of quasi rational learning the model under learning matches some crucial stylized facts observed during the recurrent hyperinflations experienced by several countries in the 1980 s remarkably well we argue that despite being a small departure from rational expectations quasi rational learning does not preclude falsifiability of the model it does not violate reasonable rationality requirements and it can be used for policy evaluation

a simple recursive forecasting model abstract we compare the performance of alternative recursive forecasting models a simple constant gain algorithm used widely in the learning literature both forecasts well out of sample and also provides the best fit to the survey of professional forecasters

fiscal policy in general equilibrium this paper studies four classic fiscal policy experiments within a quantitatively restricted neoclassical model the authors main findings are as follows 1 permanent changes in government purchases can lead to short run and long run output multipliers that exceed one 2 permanent changes in government purchases induce larger effects than temporary changes 3 the financing decision is quantitatively more important than the resource cost of changes in government purchases and 4 public investment has dramatic effects on private output and investment these findings stem from important dynamic interactions of capital and labor absent in earlier equilibrium analyses of fiscal policy copyright 1993 by american economic association

coordination of fiscal policies in a world economy abstract this paper provides a simple counterexample to the standard belief that in a world economy in which all countries are small strategic interactions between policymarkers are trivial and thus cooperative and non cooperative government policies coincide it is well known that this holds for tariff policies however this paper demonstrates the result does not apply to fiscal policy in addition the paper analyzes how optimally coordinated fiscal policies differ from non cooperative policies it finds that relative to optimally coordinated levels non cooperative government spending can be too high or too low depending on the sign of a transmission effect which captures the overall effect countries actions have on each other

the welfare cost of capital income taxation in a growing economy the welfare cost of capital income taxation is analyzed in a general equilibrium framework where the private sector is represented by a competitive household endowed with perfect foresight and an infinite life the value of the welfare cost depends essentially on the elasticity of substitution between capital and labor in the production function numerical estimates are presented for different values of the parameters of the model the welfare gain obtained by the abolition of the capital income tax is smaller when the private sector is not endowed with perfect foresight it is reduced by about 40 percent when expectations are myopic the allocation efficiency cost of the corporate tax dwarfs the intertemporal welfare cost

optimal taxation of capital income in general equilibrium with infinite lives this paper analyzes the optimal tax on capital income in general equilibrium models of the second best agents have infinite lives and utility functions which are extensions from the koopmans form the population is heterogeneous the important property of the models is the equality between the social and the private discount rates in the long run i find that the optimal tax rate is zero in the long run for a special case of additively separable utility functions i then determine the tax rates along the dynamic path and conditions that are sufficient for the local stability of the steady state

the exact timing of the collapse of an exchange rate regime and its impact on the relative price of traded goods as of february 28 1983 ninety four countries are classified as having a fixed exchange rate regime 38 are pegged to the u s dollar 13 to the french franc 14 to the special drawing right and 24 to different baskets of currencies the choice of a fixed exchange rate peg implies a specific monetary discipline namely monetary growth equal to the growth rate of the currency or currencies to which a country is pegged monetary policy is thus subject to an exchange rate rule rather than to either a monetary growth rule or alternatively to discretionary policy a fixed exchange rate is a specific case of an active crawling peg where the preannounced rate of change in the exchange rate is zero active crawling peg rules whereby the exchange rate is adjusted downward by a preannounced amount over a specified period of time have been practiced in various places particularly in latin america recent experiments include argentina beginning december 1978 brazil during the 1980 calendar year chile from february 1978 to june 1979 jamaica from may 1978 to may 1979 portugal from august 1977 to june 1979 and uruguay beginning october 1978 1 at times the prean

international tax competition and gains from tax harmonization abstract in a world economy there are two types of distortions which can be caused by capital income taxation in addition to the standard closed economy wedge between the consumer saver marginal intertemporal rate of substitution and the producer investor marginal productivity of capital i international differences in intertemporal marginal rates of substitution implying an inefficient allocation of world savings across countries and ii international differences in the marginal productivity of capital implying an inefficient allocation of world investment across countries the paper focuses on the structure of taxation for countries which are engaged in tax competition and on potential gains from a tax harmonization we show that if the competing countries are sufficiently coordinated with the rest of the world then tax competition leads each country to apply the residence principle of taxation and there are no gains from tax harmonization if however there is not sufficient coordination then tax competition leads to low capital income taxes and the tax burden falls on the internationally immobile factors the outcome is nevertheless still efficient relative to the available constrained set of tax instruments

international real business cycles we ask whether a two country real business cycle model can account simultaneously for domestic and international aspects of business cycles with this question in mind we document a number of discrepancies between theory and data the most striking discrepancy concerns the correlations of consumption and output across countries in the data outputs are generally more highly correlated across countries than consumptions in the model we see the opposite

monetary policy expectations and commitment commitment in monetary policy leads to equilibria that are superior to those from optimal discretionary policies a number of interest rate reaction functions and instrument rules have been proposed to implement or approximate commitment policy we assess these rules in terms of whether they lead to a rational expectations equilibrium that is both locally determinate and stable under adaptive learning by private agents a reaction function that appropriately depends explicitly on private sector expectations performs particularly well on both counts

the international ramifications of tax reforms supply side economics in a global economy this paper studies tax reforms in a dynamic model of a global economy calibrated to current u s and european tax policies world capital markets add consumption smoothing and income redistribution effects that alter closed economy predictions in the absence of taxes on foreign interest welfare gains of eliminating u s income taxes are enlarged by up to 34 percent at the expense of european losses caused by transitional declines in consumption and leisure and a permanent capital outflow in contrast if foreign interest is taxed the same tax reform reduces u s welfare 0 7 percent and increases european welfare 1 8 percent copyright 1998 by american economic association