Research Database

Measured aggregate U.S. consumption does not behave like a martingale. This paper develops and tests two variants of the permanent income model that are consistent with this fact. In both variants, we assume agents make decisions on a continuous time basis. According to the first variant, the martingale hypothesis holds in continuous time and serial persistence in measured consumption reflects only the effects of time aggregation. We investigate this variant using both structural and atheoretical econometric models. The evidence against these models is far from overwhelming. This suggests that the martingale hypothesis may yet be a useful way to conceptualize the relationship between aggregate quarterly U.S. consumption and income. According to the second variant of the permanent income model, serial persistence in measured consumption reflects the effects of exogenous technology shocks and time aggression. In this model, continuous time consumption does not behave like a martingale. We find little evidence against this variance of the permanent income model. It is difficult, on the basis of aggregate quarterly U.S. data, to convincingly distinguish between the different continuous time models considered in the paper.

The founding fathers of the Econometric Society defined econometrics to be quantitative economic theory. A vision of theirs was the use of econometrics to provide quantitative answers to business cycle questions. The realization of this dream required a number of advances in pure theory—in particular, the development of modern general equilibrium theory. The econometric problem is how to use these tools along with measurement to answer business cycles questions. In this essay, we review this econometric development and contrast it with the econometric approach that preceded it.

This paper analyzes the U.S. congressional proposal to instruct the Federal Reserve to, in the next five years, lower inflation to zero from its current rate of around 5 percent. The paper concludes that, when other policy options are considered, the zero inflation policy is not advisable. Its benefits would be very small—possibly negative—while its costs would probably be significant. Other, more direct policy options could produce most of the same benefits with fewer costs. Among these alternative policies are deregulating interest rates on demand deposits, paying interest on financial institution reserves, lowering the federal tax rate on capital income, and indexing the federal tax code to inflation.

This paper uses a simple general equilibrium model in which agents use money holdings to self insure to address the classic question: What is the optimal rate of change of the money supply? The standard answer to this question, provided by Friedman, Bewley, Townsend, and others, is that this rate is negative. Because any revenues from seigniorage in our model are redistributed in lump-sum form to agents and this redistribution improves insurance possibilities, we find that the optimal rate is sometimes positive. We also discuss the measurement of welfare gains or losses from inflation and their quantitative significance.

We show how to use security market data to restrict the admissible region for means and standard deviations of intertemporal marginal rates of substitution (IMRS’s) of consumers. Our approach is (i) nonparametric and applies to a rich class of models of dynamic economies; (ii) characterizes the duality between the mean-standard deviation frontier for IMRS’s and the familiar mean-standard deviation frontier for asset returns; and (iii) exploits the restriction that IMRS’s are positive random variables. The region provides a convenient summary of the sense in which asset market data are anomalous from the vantage point of intertemporal asset pricing theory.

The classical and early neoclassical economists knew that the essential function of money was its role as a medium of exchange. Recently, this idea has been formalized using search-theoretic noncooperative equilibrium models of the exchange process. The goal of this paper is to use a simple model of this class to analyze four substantive issues in monetary economics: the interaction between specialization and exchange, dual fiat currency regimes, the welfare improving role of money, and the susceptibility of monetary economies to extrinsic uncertainty.

A paradigm is presented where both the extent of financial intermediation and the rate of economic growth are endogenously determined. Financial intermediation promotes growth because it allows a higher rate of return to be earned on capital, and growth in turn provides the means to implement costly financial structures. Thus, financial intermediation and economic growth are inextricably linked in accord with the Goldsmith-McKinnon-Shaw view on economic development. The model also generates a development cycle reminiscent of the Kuznets hypothesis. In particular, in the transition from a primitive slow-growing economy to a developed fast-growing one, a nation passes through a stage where the distribution of wealth across the rich and poor widens.

A Beckerian model of household production is developed to study the allocation of capital and time between market and home activities over the business cycle. The adopted framework treats the business and household sectors symmetrically. In the market, labor interacts with business capital to produce market goods and services, and likewise at home the remaining time, leisure, is combined with household capital to produce home goods and services. The theoretical model presented is parameterized, calibrated, and simulated to see whether it can rationalize the observed allocation of capital and time, as well as other stylized facts, for the postwar U.S. economy.

We characterize equilibria of general equilibrium models with externalities and taxes as solutions to optimization problems. This characterization is similar to Negishi’s characterization of equilibria of economies without externalities or taxes as solutions to social planning problems. It is often useful for computing equilibria or deriving their properties. Frequently, however, finding the optimization problem that a particular equilibrium solves is difficult. This is especially true in economies with multiple equilibria. In a dynamic economy with externalities or taxes there may be a robust continuum of equilibria even if there is a representative consumer. This indeterminacy of equilibria is closely related to that in overlapping generations economies.

This paper investigates the impact on aggregate variables of changes in government consumption in the context of a stochastic, neoclassical growth model. We show, theoretically, that the impact on output and employment of a persistent change in government consumption exceeds that of temporary change. We also show that, in principle, there can be an analog to the Keynesian multiplier in the neoclassical growth model. Finally, in an empirically plausible version of the model, we show that the interest rate impact of a persistent government consumption shock exceeds that of a temporary one. Our results provide counterexamples to existing claims in the literature.

Forecasts are routinely revised, and these revisions are often the subject of informal analysis and discussion. This paper argues (1) that forecast revisions are analyzed because they help forecasters and forecast users to evaluate forecasts and forecasting procedures, and (2) that these analyses can be sharpened by using the forecasting model to systematically express its forecast revision as the sum of components identified with specific subsets of new information, such as data revisions and forecast errors. An algorithm for this purpose is explained and illustrated.

This paper, originally published in the fall 1979 Quarterly Review, explains why unfettered markets cannot determine a price at which the currency of one country exchanges for that of another. In effect, any price will work—something which is not true in other markets. The paper then argues that the only feasible regimes for these special markets are floating exchange rates with capital controls or fixed exchange rates with monetary and budget policy coordination.

This paper examines the response of real wages and employment probabilities to nominal shocks using micro-panel data from the National Longitudinal Survey of Young Men. Both economy-wide and sector-specific responses to nominal shocks are examined. The observed response patterns are inconsistent with nominal contract based theories of unemployment. These theories predict that nominal surprises should be negatively correlated with real wages in sectors with nominal contracting. In fact, inflation surprises are found to be essentially uncorrelated with real wages in all sectors, while money growth surprises are positively correlated with real wages in manufacturing and uncorrelated with real wages elsewhere. The positive real wage-money growth correlation in manufacturing is robust to controls for real shocks and business cycle conditions, so it does not appear to be explicable by real business cycle models with endogenous money. The type of model described by McCallum (1980, 1986), in which commodity prices are more rigid than wages, is consistent with the result.

This paper investigates the impact of aggregate variables of changes in government consumption in the context of a stochastic, neoclassical growth model. We show, theoretically, that the impact on output and employment of a persistent change in government consumption exceeds that of a temporary change. We also show that, in principle, there can be an analog to the Keynesian multiplier in the neoclassical growth model. Finally, in an empirically plausible version of the model, we show that the interest rate impact of a persistent government consumption shock exceeds that of a temporary one. Our results provide counterexamples to existing claims in the literature.

In the 1930s, Dunlop and Tarshis observed that the correlation between hours worked and the return to working is close to zero. This observation has become a litmus test by which macroeconomic models are judged. Existing real business cycle models fail this test dramatically. Based on this result, we argue that technology shocks cannot be the sole impulse driving post-war U.S. business cycles. We modify prototypical real business cycle models by allowing government consumption shocks to influence labor market dynamics in a way suggested by Aschauer (1985), Baro (1981, 1987), and Kormendi (1983). This modification can, in principle, bring the models into closer conformity with the data. Our results indicate that when aggregate demand shocks arising from stochastic movements in government consumption are incorporated into the analysis, and an empirically plausible degree of measurement error is allowed for, the model’s empirical performance is substantially improved.

This paper uses a simple, graphical approach to analyze what happens to commodity prices and economic welfare when futures markets are introduced into an economy. It concludes that these markets do not necessarily make prices more or less stable. It also concludes that, contrary to common belief, whatever happens to commodity prices is not necessarily related to what happens to the economic welfare of market participants: even when futures markets reduce the volatility of prices, some people can be made worse off. These conclusions come from a series of models that differ in their assumptions about the primary function of futures markets, the structure of the industries involved, and the tastes and technologies of the market participants.

We study the ex-dividend day behavior of Japanese stock prices for the period 1983–87. We find that, contrary to previous findings, prices of ex-day stocks drop by nearly the full amount of the dividend. However, ex-day stocks shows an abnormal return. Also, for the many ex-dividend day stocks that also go ex-rights on the same ex-day, we find that the return is on average higher than that for stocks without rights issues. We thus conclude that the ex-day behavior of Japanese stocks are qualitatively similar to that of U.S. stocks.

There are two approaches to maximum likelihood (ML) estimation of the parameter of fractionally-integrated noise: approximate frequency-domain ML (Fox and Taqqwu, 1986) and exact time-domain ML (Solwell, 1990a). If the mean of the process is known, then a clear finite-sample mean-squared error (MSE) ranking of the estimators emerges: the exact time-domain estimator has smaller MSE. We show in this paper, however, that the finite-sample efficiency of approximate frequency-domain ML relative to exact time-domain ML rises dramatically when the mean result is unknown and instead must be estimated. The intuition for our result is straightforward: The frequency-domain ML estimator is invariant to the true but unknown mean of the process, while the time-domain ML estimator is not. Feasible time-domain estimation must therefore be based upon de-meaned data, but the long memory associated with fractional integration makes precise estimation of the mean difficult. We conclude that the frequency-domain estimator is an attractive and efficient alternative for situations in which large sample sizes render time-domain estimation impractical.

This paper establishes that partial suspension is an optimal arrangement in an aggregate-risk version of the Diamond-Dybvig (1983) model. The model is a variant of Wallace (1988) in which aggregate risk about the fraction of agents who "want to" consume early is limited to a small group who show up last to possibly withdraw early. Partial suspension means that when they do withdraw early, members of this group get less than those who showed up first to withdraw early. Limiting the aggregate risk to a group who show up last is a simplifying assumption because it makes it impossible to draw inferences about the aggregate state from the actions of those who show up first.

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.

This paper describes and analyzes the 1990–92 economic forecasts of a Bayesian vector autoregression model developed by researchers at the Minneapolis Fed. The model's 1990 forecast was pretty bad—too optimistic about both inflation and economic growth, especially growth in consumption and housing. An analysis of the model's errors, however, turns up no reason to think the model is unsound. Based on data available on November 30, 1990, the model predicts weak economic conditions for the next two years: a likely recession in 1991 and moderate inflation and weak overall growth in 1991–92. The paper includes a technical appendix that describes how to statistically compare the accuracy of two sets of forecasts.

Previous investigations of whether the volatility of the U.S. economy diminished after World War II have been inconclusive because of questionable prewar macroeconomic aggregates. We examine, more broadly, the hypothesis of the stabilization of the postwar economy by focusing on the duration of business cycles, rather than their amplitude; in the process, we avoid the debate about the quality of prewar aggregates. Using distribution-free statistics, we find clear evidence of postwar duration stabilization in terms of a shift toward longer expansions and shorter contractions. Moreover, we find no shift in whole-cycle durations, which suggests a reallocation of the business cycle away from contraction and toward expansion.

This paper argues that the reporting of facts in light of theory fosters the development of theory. Dynamic neoclassical macro theory guided the selection of facts to report. The hope is that these facts will foster the further development of this theory. A finding is that the price level is countercyclical in the post-Korean War period. This finding debunks the myths that the price level is procyclical, with the postwar period being no exception.

Purchasing power parity is one of the most important equilibrium conditions in international macroeconomics. Empirically, it is also one of the most hotly contested. Numerous recent studies, for example, have sought to determine the validity of purchasing power parity using data from the post-Bretton-Woods float and have reached different conclusions. We assert that most such studies are flawed for two reasons. First, the post-1973 data contain, by definition, only a very limited amount of the low-frequency information relevant for examination of long-run parity. Second, the dynamic econometric techniques used to model deviations from parity are typically quite crude with respect to the modeling of low-frequency dynamics. Both deficiencies are rectified in the present paper, with dramatic results. We construct a new dataset of sixteen real exchange rates covering more than a century of the classic gold standard period, and we study deviations from parity using long-memory models that allow for subtle forms of mean reversion. For each real exchange rate, we find that parity holds in the long run.

This paper is a case study of the use of vector autoregression (VAR) models to test economic theories. It focuses on the work of Christopher A. Sims, who in 1980 found that relationships in economic data generated by a small VAR model were inconsistent with those implied by a simple form of monetarist theory. The paper describes the work of researchers who criticized Sims' results as not robust and Sims' response to these critics. The paper reexamines all of this work by estimating hundreds of variations of Sims' model. The paper concludes that both Sims and his critics are right: Sims' conclusion about monetarism is robust, but some of his other statistical results are not. In general, the paper concludes that VAR models can be used to test theories, but that any relationships they uncover in the data must be carefully checked for robustness.

In a world where time series show clear seasonal fluctuations, rational agents will take account of those fluctuations in planning their own behavior. Using seasonally adjusted data to model behavior of such agents throws away information and introduces possibly severe bias. Nonetheless it may be true fairly often that rational expectations modeling with seasonally adjusted data, treating the adjusted data as if it were actual data, gives approximately correct results; and naive extensions of standard modeling techniques to seasonally unadjusted data may give worse results than naive use of adjusted data. This paper justifies these claims with examples and detailed arguments.

This paper, originally published in 1988, argues that there is nothing special about government-issued money, that without restrictions of some kind, privately issued money would be a perfect substitute for it. The paper describes the type of intermediation this argument implies for a laissez-faire economy. One important implication is that there would be only one risk-adjusted rate of return; either all assets would pay a low return to match that on money, or money would pay interest. Another important implication is that open market operations would be irrelevant. The paper argues that the reason we don't frequently observe economies with such characteristics is that governments generally impose restrictions which prevent the private issue of money. However, the paper does examine some historical periods when restrictions seemingly were not imposed. And it concludes with some reservations about the oversimplifying suggestion.

We provide an investigation of duration dependence in prewar business expansions, contractions, and whole cycles for France, Germany, and Great Britain. Our results, obtained using both nonparametric and parametric procedures, generally indicate the presence of positive duration dependence in expansions and whole cycles but not in contractions. Our results corroborate those of our earlier studies of the United States.