Research Database

We study economies where government currency and electronic money, drawn from interest bearing deposits in private financial intermediary institutions, are full substitutes. We analyze the impact of competition on policy outcomes under different assumptions regarding: the objectives of the central bank, the ability of the monetary authorities to commit to future policies, and the legal restrictions—in the form of reserve requirements—on financial intermediaries. Electronic money competition can discipline a revenue maximizing government and result in lower equilibrium inflation rates, even when there is imperfect commitment. The efficient Friedman rule policy, of zero nominal interest rates, is only implemented if the government maximizes households preferences, in which case, electronic money competition may either have no role, or weaken the incentive effects of the “reputational mechanism.” We also show how an independent choice of the reserve requirements can be an effective policy rule to enhance the disciplinary role of electronic money competition.

This article studies the extent to which governments produce goods for the market (that is, the extent of public enterprise production). It concludes that the current literature dramatically understates the role of public enterprises in many low-productivity countries. The current literature focuses on the total value of goods produced by public enterprises. This article focuses on the types of goods they produce. While the total value of goods produced by public enterprises (as a share of total output) differs a bit across countries, the types of goods they produce differ much more dramatically. In many low-productivity countries, the government produces a large share of the country's manufactured goods. In nearly all high-productivity countries, the government stays out of the manufacturing sector altogether. Therefore—and because the manufacturing sector plays a special role in economies—this article concludes that public enterprises play a very large role in many low-productivity countries.

This model extends one originally constructed by Robert Litterman in 1980 and used continuously since then to prepare quarterly forecasts. The current version is 3 variables larger than Litterman’s original model, and it now allows time variation in coefficients, predictable time variation in forecast error variance, and non-normality in disturbances. Despite this elaboration the model in a sense has just 12 parameters free to fit the behavior of 9 variables in 9 equations. The paper reports the model structure and summarizes some aspects of its recent forecasting performance.

We study a representative agent, open economy in which government-provided services that enter the domestic production function must be financed with distortionary taxes, and focus on the optimal size of government and the associated optimal tax rate. If the government can precommit its actions, it maximizes individual welfare by announcing and implementing a constant tax rate, which we label the “orthodox” tax rate. This tax rate is time inconsistent, and under discretion the government implements a tax that maximizes each period’s output. We label this the “populist” tax rate. It may be higher or lower than the “orthodox” rate, depending on whether the elasticity of substitution in production between private and public inputs is below or above one. We also characterize the second-best tax rate that can be sustained through trigger strategies. This best sustainable tax rate is constant and lies between the “orthodox” and “populist” extremes.

This article is largely a description of inequality of earnings, income, and wealth in the United States in 2007 as measured by the Survey of Consumer Finances (SCF). We look at inequality in relation to various characteristics such as age, education, employment status, marital status, and whether households are late payers or include bankruptcy filers. We also look at economic mobility. We compare these variables in 2007 with their values in our earlier study in 1998.

Three of the arguments made by Temin (2008) in his review of Great Depressions of the Twentieth Century are demonstrably wrong: that the treatment of the data in the volume is cursory; that the definition of great depressions is too general and, in particular, groups slow growth experiences in Latin America in the 1980s with far more severe great depressions in Europe in the 1930s; and that the book is an advertisement for the real business cycle methodology. Without these three arguments — which are the results of obvious conceptual and arithmetical errors, including copying the wrong column of data from a source — his review says little more than that he does not think it appropriate to apply our dynamic general equilibrium methodology to the study of great depressions, and he does not like the conclusion that we draw: that a successful model of a great depression needs to be able to account for the effects of government policy on productivity.

This paper describes a dynamic model in which the provision mechanism for a public project is itself the object of locational choice of individuals. Individuals in an ongoing society must choose between a Majority Rule mechanism and a Voluntary Contribution mechanism. Each mechanism determines a funding decision for a local public project which is repeated over time. Generations of individuals asynchronously supercede their “parents,” creating an entry/exit process that allows individuals with possibly different beliefs to enter society. A self confirming equilibrium (SCE) belief process describes an evolution of beliefs in this society consistent with a self confirming equilibrium of the repeated location/provision game. Due to Fudenberg and Levine (1993), SCE is weaker than Nash as it requires correct forecasts of an individual only along the realized path during the individual's lifetime. Since individuals' beliefs on out-of-equilibrium behavior may vary, an SCE belief process may admit random and heterogenous forecasts in the form of mutations of beliefs across generations as newborn individuals enter the system. It is shown that the process with belief mutation results in a globally absorbing state in which the Majority Rule mechanism is the unique survivor of the two.

Under a narrow set of assumptions, Chamley (1986) established that the optimal tax rate on capital income is eventually zero. This study examines and extends that result by relaxing Chamley’s assumptions, one by one, to see if the result still holds. It does. This study unifies the work of other researchers, who have confirmed the result independently using different types of models and approaches. This study uses just one type of model (discrete time) and just one approach (primal). Chamley’s result holds when agents are heterogeneous rather than identical, the economy’s growth rate is endogenous rather than exogenous, the economy is open rather than closed, and agents live in overlapping generations rather than forever. (With this last assumption, the result holds under stricter conditions than with the others.)

This paper develops a Limited-Dependent Rational Expectations (LD-RE) model where the bounds can be fixed for an extended period, but are subject to occasional jumps. In this case, the behavior of the endogenous variable is affected by the agent's expectations about both the occurrence and the size of the jump. The RE solution for the one-sided and two-sided band are derived and shown to encompass the cases of perfectly predictable and stochastically varying bounds examined by earlier literature. We demonstrate that the solution for the one-sided band exists and is unique when the coefficient of the expectational variable is less than one. In the case of a two-sided band, the RE solution exists for all the parameter values and is unique if the coefficient of the expectational variable is less than or equal to one. These results hold even when the jump probability is stochastically varying and the error terms are conditionally heteroscedastic. As an illustration, we estimate a model of exchange rate determination in a target zone using data for the Franc/Mark exchange rate. Empirical results provide support for the non-linear model with time-varying realignment probability and indicate that the agents correctly anticipated most of the observed changes in the central parity.

This paper develops the Parameterized Expectations Approach (PEA) for solving nonlinear dynamic stochastic models with rational expectations. The method can be applied to a variety of models, including models with strong nonlinearities, sub-optimal equilibria, and many continuous state variables. In this approach, the conditional expectations in the equilibrium conditions are approximated by finite-dimensional classes of functional forms. The approach is highly efficient computationally because it incorporates endogenous oversampling and Monte-Carlo integration, and it does not impost a discrete grid on the state variables or the stochastic shocks. We prove that PEA can approximate the correct solution with arbitrary accuracy on the ergodic set by increasing the size of the Monte-Carlo simulations and the dimensionality of the approximating family of functions.

Macroeconomics has made tremendous advances following the introduction of labor supply into the field. Today, it is widely acknowledged that labor supply matters for many key economic issues, particularly for business cycles and tax policy analysis. However, the extent to which labor supply matters for such questions depends on the aggregate labor supply elasticity—that is, the sensitivity of the time allocation between market and nonmarket activities. For several decades, the magnitude of the aggregate labor supply elasticity has been the subject of much debate. In this article, we review the debate and conclude that the elasticity of labor supply of the aggregate household is much higher than the elasticity of the identical households being aggregated. The aggregate household utility function differs from the individuals’ utility functions for the same reason that the aggregate production function differs from the individual firms’ production functions being aggregated. The differences in individual and aggregate supply elasticities are what aggregation theory predicts.

This article is a summary of the papers presented at the Models of Monetary Economies II conference, hosted in May 2004 by the Federal Reserve Bank of Minneapolis and the University of Minnesota. It focuses on several themes in the papers, including the microfoundations of monetary theory, optimal monetary policy, and the role of banking, and also overviews how the contributions fit together. Finally, the article comments on monetary theory in general—how it has evolved and where it may be headed.

This essay briefly reviews the professional life and work of economist S. Rao Aiyagari, who died after a heart attack on May 20, 1997, at the age of 45. Aiyagari is described as “one of the ablest economists of his generation.” The essay is accompanied by a complete list of Aiyagari’s published work and reprints of three of his articles in the Federal Reserve Bank of Minneapolis Quarterly Review: “Deflating the Case for Zero Inflation” (Summer 1990), “On the Contribution of Technology Shocks to Business Cycles” (Winter 1994), and “Macroeconomics With Frictions” (Summer 1994).

This paper develops a two-sector neoclassical model of international trade with endogenous capital accumulation and intertemporal optimization. In contrast to the traditional “2x2x2” model, there is a Ricardian implication that countries specialize according to comparative advantage. Consequently, the theory predicts that government expenditure policies are unlikely to affect the established pattern of specialization and trade, but that changes in tax policies can result in a dramatic reorganization of world production. Further, the dynamic “2x2x2” model can explain many of the salient features of international trade that are problematic for the standard Heckscher-Ohlin-Samuelson model.

This paper develops a model of the choice between bank and market finance by entrepreneurial firms that differ in the value of their net worth. The monitoring associated with bank finance ameliorates a moral hazard problem between the entrepreneurs and their lenders. The model is used to analyze the different strands of the credit view of the transmission of monetary policy. In particular, we derive the empirical implications of a broad credit channel, and compare them to those obtained when the model is extended to incorporate some elements of the bank lending channel.

This note develops a framework for thinking about the following question: What is the maximum amount of consumption that a utilitarian welfare function would be willing to trade off to avoid the deaths associated with COVID-19? The answer depends crucially on the mortality rate associated with the coronavirus. If the mortality rate averages 0.81%, as projected in one prominent study, our answer is 41% of one year’s consumption. If the mortality rate instead averages 0.44% across age groups, as suggested by a recent seroprevalence study, our answer is 28%.

This paper, originally published in the spring 1983 Quarterly Review, explains why flat-rate deposit insurance gives financial intermediaries an incentive to take on too much risk. It also discusses the purposes of deposit insurance and some ways reforms might serve those purposes. Three possible reforms are discussed: abolishing the insurance and requiring depository institutions to either hold safe assets or mark to market, reducing the deposit ceilings for insurance, and risk-adjusting the insurance premia.

In Scott Freeman’s (1996) model, payment system arrangements based on intermediated debt that is settled with money achieve higher welfare than does direct money payment. In a simplified version of Freeman’s model, welfare can be further improved and efficiency achieved by a monetary authority participating in a secondary market for debt or by a private intermediary using a common clearinghouse device. The analysis clarifies that ordinary private agents can assume the role of central bank or clearinghouse; no artificial agent, posited solely to play that role and endowed with special capabilities for it, is necessary. The institutional features required for a central bank or a clearinghouse to achieve efficiency, particularly features related to central bank independence, are discussed informally.

I show that the “indivisible labor” models of Diamond and Mirrlees (1978, 1986), Hansen (1985), Rogerson (1988), Christiano and Eichenbaum (1992) and many others are, when aggregated across persons with the same marginal utility of income, equivalent to the divisible labor model of Lucas and Rapping (1969); any data on aggregate hours and earnings generated by the divisible (indivisible) model can be generated by some parameterization of the indivisible (divisible) model. The same is true when “macro” data are obtained by aggregating over time and across people. This equivalence means that the indivisibility of labor per se does not have implications for macroeconomics. Nor does indivisibility have “aggregate” normative implications.

Business cycles appear to be large, persistent, and asymmetric relative to the shocks hitting the economy. This observation suggests the existence of an asymmetric amplification and propagation mechanism, which transforms the shocks into the observed movements in aggregate output. This article demonstrates, in a small open economy, how credit constraints can be such a mechanism. The article also shows, however, that the quantitative significance of the amplification which credit constraints can provide is sensitive to the quantitative specification of the underlying economy (especially factor shares).

One critical aspect of economic development is that productivity growth and a rising standard of living are realized through more roundabout methods of production and increasing specialization of intermediate inputs and producer services. We use an extended version of the Judd-Grossman-Helpman model of dynamic monopolistic competition to show that an economy that inherits a small range of specialized inputs can be trapped into a lower stage of development. The limited availability of specialized inputs forces the final goods producers to use a labor intensive technology, which in turns implies a small inducement to introduce new intermediate products. The start-up costs, which make the intermediate goods producers subject to dynamic increasing returns, and pecuniary externalities that result from the factor substitution in the final goods sector, play essential roles in the model.

Applied macroeconomists interested in identifying the sources of business cycle fluctuations typically have no more than 40 or 50 years of data at a quarterly frequency. With sample sizes that small, identification may not be possible even with correctly specified representations of the data. In this article, I investigate whether small samples are indeed a problem for some commonly used statistical representations. I compare three—a vector autoregressive moving average (VARMA), an unrestricted state space, and a restricted state space—that are all consistent with the same prototype business cycle model. The statistical representations that I consider differ in the amount of a priori theory that is imposed, but all are correctly specified. I find that the identifying assumptions of VARMAs and unrestricted state space representations are too minimal: the range of estimates for statistics of interest for business cycle researchers is so large as to be uninformative.

This paper discusses at an undergraduate level how forecast rationality can be tested. It explains that forecasters should correctly use any relevant information they knew in making their predictions. It shows that forecast rationality can be tested by determining whether the forecasters' prediction errors are predictable. After addressing what data and methods can be used for testing rationality, the paper presents tests of the price-forecast rationality of individual professional forecasters. Unlike results of previous studies, the test results show that those forecasters' price predictions appear to be rational.

This article analyzes some of the potential effects of increased international financial integration within a simple two-country model. In the model, the article considers a switch in the menu of internationally traded financial securities from bonds to complete contingent claims and examines the impact of this switch on the stochastic properties, including the cross-country correlations, of standard macroeconomic aggregates like output, consumption, and labor effort, as well as the trade balance.

This paper analyses how the wage and employment decisions of females are affected by past workforce participation and hours supplied. Our estimation methods exploit the fact that, when markets are complete, the Lagrange multiplier for an agent’s lifetime budget constraint always enters multiplicatively with the prices of (contingent claims to) consumption and leisure. Depending on the properties of the equilibrium price process, it is thus possible to predict the behavior of a wealthy agent by observing that of a poorer person living in a more prosperous world. This provides the key to estimating, nonparametrically, the expectations that enter the calculus of equilibrium decisionmaking, and ultimately the structural parameters which characterize preferences.

There are two major differences between Japan and the United States in the way saving is calculated in their national accounts. First, depreciation in Japanese national accounts is based on historical costs, which leads to an understatement of true depreciation and hence an overstatement of net saving. Second, government capital formation is not included in U.S. saving. This article adjusts the official Japanese saving numbers by evaluating depreciation at replacement costs and excluding government capital formation from saving. Doing so significantly reduces the apparent gap between the national saving rates of the two countries. Since 1970 Japan's national saving rate has been declining to the stationary U.S. rate. This trend, however, has been reversed in recent years. In contrast, Japan's wealth-to-income ratio (excluding land), after declining in the late 1950s, has been rising toward the U.S. ratio and has reached the U.S. level in 1987.

We use a regime-switching model of real GNP growth to examine the duration dependence of business cycles. The model extends Hamilton (1989) and Durland and McCurdy (1994) and is estimated using both the postwar NIPA data and the secular data constructed by Balke-Gordon. We find that an expansion is more likely to end at a young age, that a contraction is more likely to end at an old age, that output growth slows over the course of an expansion, that a decline in output is mild at the beginning of a contraction, and that long expansions are followed by long contractions. This evidence taken together provides no support for the clustering of the whole-cycle around seven-to-ten year durations.

Three key features of the employment process in the U.S. economy are that job creation is procyclical, job destruction is countercyclical, and job creation is less volatile than job destruction. These features are also found at the sectoral (goods and services) level. The paper develops, calibrates, and simulates a two sector general equilibrium model including both aggregate and sectoral shocks. The behavior of the model economy mimics the job creation and destruction facts. Sectoral shocks play a significant role in determining the aggregate level of nonemployment.

This essay argues that monetary theories should not contain an undefined object labeled money. Among existing theories that do not satisfy that dictum are models which assume that real balances are arguments of utility or production functions and models which assume cash-in-advance constraints. A main weakness of theories that do not satisfy the dictum is that they cannot address questions about which objects constitute money. Theories that do satisfy the dictum are those which specify assets by their physical properties and which permit the assets’ role in exchange to be endogenous. The essay briefly describes one such theory, a random matching model with assets that differ according to whether they throw off real dividends.