Research Database

This paper analyzes the effects of money injections on interest rates and exchange rates in a model in which agents must pay a Baumol-Tobin style fixed cost to exchange bonds and money. Asset markets are endogenously segmented because this fixed cost leads agents to trade bonds and money only infrequently. When the government injects money through an open market operation, only those agents that are currently trading absorb these injections. Through their impact on these agents’ consumption, these money injections affect real interest rates and real exchange rates. We show that the model generates the observed negative relation between expected inflation and real interest rates. With moderate amounts of segmentation, the model also generates other observed features of the data: persistent liquidity effects in interest rates and volatile and persistent exchange rates. A standard model with no fixed costs can produce none of these features.

This paper proposes a simple method for guiding researchers in developing quantitative models of economic fluctuations. We show that a large class of models, including models with various frictions, are equivalent to a prototype growth model with time-varying wedges that, at least at face value, look like time-varying productivity, labor taxes, and capital income taxes. We label the time-varying wedges as efficiency wedges, labor wedges, and investment wedges. We use data to measure these wedges and then feed them back into the prototype growth model. We then assess the fraction of fluctuations accounted for by these wedges during the great depressions of the 1930s in the United States, Germany, and Canada. We find that the efficiency and labor wedges in combination account for essentially all of the declines and subsequent recoveries. Investment wedges play, at best, a minor role.

Constant returns to scale is a central construct of neoclassical theory. Previous studies argued that one must adopt a specification of the production function with substantial unobserved service variation to reconcile constant returns with the data. Some economists have argued that this finding has not resolved the size of returns to scale, since factor service variation is unobserved, and there is no generally accepted theory to guide specification of this alternative framework. In this paper we show that the stochastic version of the neoclassical growth model delivers an orthogonality condition which can be used to estimate returns to scale. Rather than the standard finding of increasing returns, we show that standard theory and conventional measures of output and inputs yield estimates of constant returns to scale at the aggregate level. Our estimates also suggest that factor service variation is not an important determinant of output fluctuations.

Prediction interval tests are applied to the reduced forms of two quarterly models of the U.S. (the "old" FRB-MIT model and the Michigan model). The results illustrate the range of tests one can perform on an estimated simultaneous equation model. In particular, the tests determine whether ex post forecast errors can be attributed to structural deficiencies of the models. The paper examines confidence regions and other aspects of forecast distributions-comparisons between mean forecasts and nonstochastic forecasts, comparisons between, forecast variances from multiperiod endogenous simulations and those from one period simulations, and comparisons between forecast variances and residual variances.

A simple model of backed money without a store of value function is presented, discussed, and defended. The function of money in the model is to replace complex contingent contracts traded on a centralized exchange with simple trades in decentralized markets.

We revisit the question of how capital should be taxed, arguing that if governments are allowed to use the kinds of tax instruments widely used in practice, for preferences that are standard in the macroeconomic literature, the optimal approach is to never distort capital accumulation. We show that the results in the literature that lead to the presumption that capital ought to be taxed for some time arise because of the initial confiscation of wealth and because the tax system is restricted.

We present a model of vintage human capital. The economy exhibits exogenous deterministic technological change. Technology requires skills that are specific to the vintage. A stationary competitive equilibrium is defined and shown to exist and be unique, as well as Pareto optimal. The stationary equilibrium is characterized by an endogenous distribution of skilled workers across vintages. The distribution is shown to be single peaked and there is diffusion of technology in the sense that there is a lag between the time when a technology appears and the peak of its usage. An increase in the rate of exogenous technological change shifts the distribution of human capital to more recent vintages and increases the relative wage of the unskilled workers in each vintage.

This study examines the shape of an optimal income tax schedule in a monetary economy. In equilibrium, money’s role is to allocate resources across generations, while a tax-transfer scheme serves as a form of social insurance. It is found that the optimal real income tax with money can be progressive.

This paper studies a quantitative dynamic general equilibrium life-cycle model where parents and their children are linked by bequests, both voluntary and accidental, and by the transmission of earnings ability. This model is able to match very well the empirical observation that households with similar lifetime incomes hold very different amounts of wealth at retirement. Income heterogeneity and borrowing constraints are essential in generating the variation in retirement wealth among low lifetime income households, while the existence of intergenerational links is crucial in explaining the heterogeneity in retirement wealth among high lifetime income households.

Recently, several economies with interest rates close to zero have received large capital inflows while their central banks accumulated large foreign reserves. Concurrently, significant deviations from covered interest parity have appeared. We show that, with limited international arbitrage, a central bank's pursuit of an exchange rate policy at the ZLB can explain these facts. We provide a measure of the costs associated with this policy and show they can be sizable. Changes in external conditions that increase capital inflows are detrimental, even when they are beneficial away from the ZLB. Negative nominal rates and capital controls can reduce the costs.

A critical roadblock to modelling inventories of finished goods has been the claim that production and inventory decisions of a perfectly competitive firm are determined independently of each other. A basic goal of this study is to specify fundamental preferences of economic agents, technologies, constraints and market structures that are, in a rough way, capable of generating patterns of serial correlation and cross correlation between inventories and employment of factors of production that are consistent with those observed in the data. The claim is made that the time series for inventories, output and employment can be interpreted as emerging from a well specified dynamic, stochastic competitive equilibrium in which economic agents are assumed to form rational expectations about variables not included in their information sets. Inventories and employment will not be related in a direct way if and only if the price elasticity of demand for output is equal to infinity.

We investigate ex-ante efficient contracts in an environment in which implementation is costless. In this environment, standard debt contracts will typically not be optimal. Optimal contracts may involve defaults, even in states in which the borrower is fully able to repay. We then examine the welfare costs of arbitrarily restricting the set of feasible contracts to standard debt contracts. When model parameters are calibrated to realistic values, the welfare loss from exogenously imposing this restriction is extremely small. Thus, if the implementation costs are actually nontrivial (as seems likely), standard debt contracts will be (very close to) optimal.

We find that precautionary saving accounts for only a modest (less than 3 percentage point) increase in the aggregate saving rate, at least for moderate and empirically plausible parameter values. This finding is based on a quantitative analysis of a reasonably parameterized version of the standard growth model modified to include a large number of agents who receive uninsured idiosyncratic labor endowment shocks. In contrast to representative agent models, asset trading is quite important to individuals. The model can also account qualitatively for the positive skewness of wealth and income distributions, and significantly greater wealth inequality compared to income inequality.

This paper provides structural estimates of a dynamic model of schooling, work, and occupational choice decisions based on 11 years of observations on a sample of young men from the 1979 youth cohort of the National Longitudinal Surveys of Labor Market Experience (NLSY). The structural estimation framework that we adopt fully imposes the restrictions of the theory and permits an investigation of whether such a theoretically restricted model can succeed in quantitatively fitting the observed data patterns. We find that a suitably extended human capital investment model can in fact do an excellent job of fitting observed data on school attendance, work, occupational choices, and wages in the NLSY data on young men and also produces reasonable forecasts of future work decisions and wage patterns.

General competitive analysis is extended to cover a dynamic, pure-exchange economy with privately observed shocks to preferences. In the linear, infinite-dimensional space containing lotteries we establish the existence of optima, the existence of competitive equilibria, and that every competitive equilibrium is an optimum. An example illustrates that rationing and securities with contrived risk have an equilibrium interpretation.

The Cincinnati Post published its last edition on New Year's Eve 2007, leaving the Cincinnati Enquirer as the only daily newspaper in the market. The next year, fewer candidates ran for municipal office in the Kentucky suburbs most reliant on the Post, incumbents became more likely to win reelection, and voter turnout and campaign spending fell. These changes happened even though the Enquirer at least temporarily increased its coverage of the Post's former strongholds. Voter turnout remained depressed through 2010, nearly three years after the Post closed, but the other effects diminished with time. We exploit a difference-in-differences strategy and the fact that the Post's closing date was fixed 30 years in advance to rule out some non-causal explanations for our results. Although our findings are statistically imprecise, they demonstrate that newspapers - even underdogs such as the Post, which had a circulation of just 27,000 when it closed - can have a substantial and measurable impact on public life

In U.S. elections, voters often vote for candidates from different parties for president and Congress. Voters also express dissatisfaction with the performance of Congress as a whole and satisfaction with their own representative. We develop a model of split-ticket voting in which government spending is financed by uniform taxes but the benefits from this spending are concentrated. While the model generates split-ticket voting, overall spending is too high only if the president’s powers are limited. Overall spending is too high in a parliamentary system, and our model can be used as the basis of an argument for term limits.

A central debate in applied macroeconomics is whether statistical tools that use minimal identifying assumptions are useful for isolating promising models within a broad class. In this paper, I compare three statistical models—a vector autoregressive moving average (VARMA) model, an unrestricted state space model, and a restricted state space model—that are all consistent with the same prototype business cycle model. The business cycle model is a prototype in the sense that many models, with various frictions and shocks, are observationally equivalent to it. The statistical models I consider differ in the amount of a priori theory that is imposed, with VARMAs imposing minimal assumptions and restricted state space models imposing the maximal. The objective is to determine if it is possible to successfully uncover statistics of interest for business cycle theorists with sample sizes used in practice and only minimal identifying assumptions imposed. I find that the identifying assumptions of VARMAs and unrestricted state space models are too minimal: The range of estimates are so large as to be uninformative for most statistics that business cycle researchers need to distinguish alternative theories.

Randomness in individual discovery tends to spread out productivities in a population, while learning from others keeps productivities together. In combination, these two mechanisms for knowledge accumulation give rise to long-term growth and persistent income inequality. This paper considers a world in which those with more useful knowledge can teach those with less useful knowledge, with competitive markets assigning students to teachers. In equilibrium, students who are able to learn quickly are assigned to teachers with the most productive knowledge. The long-run growth rate of this economy is governed by the rate at which the fastest learners can learn. The income distribution reflects learning ability and serendipity, both in individual discovery and in the assignment of students to teachers. Because of naturally arising indeterminacies in this assignment, payoff irrelevant characteristics can be predictors of individual income growth. Ability rents can be large when fast learners are scarce, when the process of individual discovery is not too noisy, and when overhead labor costs are low.

In this paper, we study the role of education as insurance against a bad marriage. Historically, due to disparities in earning power and education across genders, married women often found themselves in an economically vulnerable position, and had to suffer one of two fates in a bad marriage: either they get divorced (assuming it is available) and struggle as low-income single mothers, or they remain trapped in the marriage. In both cases, education can provide a route to emancipation for women. To investigate this idea, we build and estimate an equilibrium search model with education, marriage/divorce/remarriage, and household labor supply decisions. A key feature of the model is that women bear a larger share of the divorce burden, mainly because they are more closely tied to their children relative to men. Our focus on education is motivated by the fact that divorce laws typically allow spouses to keep the future returns from their human capital upon divorce (unlike their physical assets), making education a good insurance against divorce risk. However, as women further their education, the earnings gap between spouses shrinks, leading to more unstable marriages and, in turn, further increasing demand for education. The framework generates powerful amplification mechanisms, which lead to a large rise in divorce rates and a decline in marriage rates (similar to those observed in the US data) from relatively modest exogenous driving forces. Further, in the model, women overtake men in college attainment during the 1990s, a feature of the data that has proved challenging to explain. Our counterfactual experiments indicate that the divorce law reform of the 1970s played an important role in all of these trends, explaining more than one-quarter of college attainment rate of women post-1970s and one-half of the rise in labor supply for married women.

This article describes changes in the number of average weekly hours of market work per person in the United States since World War II. Overall, this number has been roughly constant; for various groups, however, it has shifted dramatically—from males to females, from older people to younger people, and from single- to married-person households. The article provides a detailed look at how the lifetime pattern of work hours has changed since 1950 for different demographic groups. This article also documents several factors that lead to the reallocation of hours worked across groups: increases in relative wages of females to males; technological innovations that shift female labor from the home to the market; increases in Social Security benefits to retired workers; and changes in family structure. The data presented are based on those collected by the U.S. Bureau of the Census during the 1950–2000 decennial censuses.

In this article, I examine the current state of knowledge about optimal monetary policy. I distinguish between two literatures, basic and applied. The basic literature is explicit about the frictions that generate a positive value for money and make it socially beneficial. The applied literature is not. I describe the recent lessons about monetary policy that we have learned from each literature and discuss how the two distinct approaches may be usefully combined.