Research Database

In recent financial crises and in recent theoretical studies of them, abrupt declines in capital inflows, or sudden stops, have been linked with large drops in output. Do sudden stops cause output drops? No, according to a standard equilibrium model in which sudden stops are generated by an abrupt tightening of a country’s collateral constraint on foreign borrowing. In this model, in fact, sudden stops lead to output increases, not decreases. An examination of the quantitative effects of a well-known sudden stop, in Mexico in the mid-1990s, confirms that a drop in output accompanying a sudden stop cannot be accounted for by the sudden stop alone. To generate an output drop during a financial crisis, as other studies have done, the model must include other economic frictions which have negative effects on output large enough to overwhelm the positive effect of the sudden stop.

Manufacturing plants have a clear life cycle: they are born small, grow substantially as they age, and eventually die. Economists have long thought that this life cycle is driven by the accumulation of plant-specific knowledge, here called organization capital. Theory suggests that where plants are in the life cycle determines the size of the payments, or dividends, plant owners receive from organization capital. These payments are compensation for the interest cost to plant owners of waiting for their plants to grow. We build a quantitative growth model of the life cycle of plants and use it, along with U.S. data, to infer the overall size of these payments. They turn out to be quite large—more than one-third the size of the payments plant owners receive from physical capital, net of new investment, and more than 40% of payments from all forms of intangible capital.

We study optimal labor and capital taxation in a dynamic economy subject to government expenditure and aggregate productivity shocks. We relax two assumptions from Ramsey models: that a representative agent exists and that taxation is proportional with no lump-sum tax. In contrast, we capture a redistributive motive for distortive taxation by allowing privately observed differences in relative skills across workers. We consider two scenarios for tax instruments: (i) taxation is linear with arbitrary intercept and slope; and (ii) taxation is non-linear and unrestricted as in Mirrleesian models. Our main result provides conditions for perfect tax smoothing: marginal taxes on labor income should remain constant over time and invariant to shocks. In addition, capital should not be taxed. We also discuss implications for optimal debt management. Finally, an extension highlights movements in the distribution of relative skills as a potential source for variations in optimal marginal tax rates.

We develop a positive theory of the adoption of child labor laws. Workers who compete with children in the labor market support the introduction of a child labor ban, unless their own working children provide a large fraction of family income. Since child labor income depends on family size, fertility decisions lock agents into specific political preferences, and multiple steady states can arise. The introduction of child labor laws can be triggered by skill-biased technological change that induces parents to choose smaller families. The model replicates features of the history of the U.K. in the nineteenth century, when regulations were introduced after a period of rising wage inequality, and coincided with rapidly declining fertility rates.

We study the effect of culture on important economic outcomes by using the 1970 census to examine the work and fertility behavior of women born in the U.S. but whose parents were born elsewhere. We use past female labor force participation and total fertility rates from the country of ancestry as our cultural proxies. These variables should capture, in addition to past economic and institutional conditions, the beliefs commonly held about the role of women in society (i.e., culture). Given the different time and place, only the beliefs embodied in the cultural proxies should be potentially relevant. We show that these cultural proxies have positive and significant explanatory power for individual work and fertility outcomes, even after controlling for possible indirect effects of culture. We examine alternative hypotheses for these positive correlations and show that neither unobserved human capital nor networks are likely to be responsible.

In this paper, we show that ignoring corporate intangible investments gives a distorted picture of the post-1990 U.S. economy. In particular, ignoring intangible investments in the late 1990s leads one to conclude that productivity growth was modest, corporate profits were low, and corporate investment was at moderate levels. In fact, the late 1990s was a boom period for productivity growth, corporate profits, and corporate investment.

We derive the quantitative implications of growth theory for U.S. corporate equity plus net debt over the period 1960–2001. There were large secular movements in corporate equity values relative to GDP, with dramatic declines in the 1970s and dramatic increases starting in the 1980s and continuing throughout the 1990s. During the same period, there was little change in the capital-output ratio or earnings share of output. We ask specifically whether the theory accounts for these observations. We find that it does, with the critical factor being changes in the U.S. tax and regulatory system. We find that the theory also accounts for the even larger movements in U.K. equity values relative to GDP in this period.

This study examines the pricing of U.S. state banknotes before 1860 using discount data from New York, Philadelphia, Cincinnati, and Cleveland. The study determines whether these banknotes were priced consistent with their expected net redemption value as securities are. The evidence is mixed. Prices for a bank’s notes were higher when the bank was redeeming its notes for specie than when it was not, and banknote prices generally reflected the costs of note redemption. However, the relationship between prices and redemption costs was not tight, and there were cases in which the notes of distant banks went at par.

The data show that an increase in government provided old-age pensions is strongly correlated with a reduction in fertility. What type of model is consistent with this finding? We explore this question using two models of fertility: one by Barro and Becker (1989), and one inspired by Caldwell (1978, 1982) and developed by Boldrin and Jones (2002). In Barro and Becker’s model parents have children because they perceive their children’s lives as a continuation of their own. In Boldrin and Jones’ framework parents procreate because children care about their parents’ utility, and thus provide them with old-age transfers. The effect of increases in government provided pensions on fertility in the Barro and Becker model is very small, whereas the effect on fertility in the Boldrin and Jones model is sizeable and accounts for between 55 and 65% of the observed Europe-U.S. fertility differences both across countries and across time.

This study argues that both unequal opportunity and social mobility are necessary implications of an efficient societal arrangement when incentives must be provided.

Using data from the Consumer Expenditure Survey, we first document that the recent increase in income inequality in the United States has not been accompanied by a corresponding rise in consumption inequality. Much of this divergence is due to different trends in within-group inequality, which has increased significantly for income but little for consumption. We then develop a simple framework that allows us to analytically characterize how within-group income inequality affects consumption inequality in a world in which agents can trade a full set of contingent consumption claims, subject to endogenous constraints emanating from the limited enforcement of intertemporal contracts (as in Kehoe and Levine, 1993). Finally, we quantitatively evaluate, in the context of a calibrated general equilibrium production economy, whether this setup, or alternatively a standard incomplete markets model (as in Aiyagari, 1994), can account for the documented stylized consumption inequality facts from the U.S. data.

Great Lakes iron ore producers had faced no competition from foreign iron ore in the Great Lakes steel market for nearly a century as the 1970s closed. In the early 1980s, as a result of unprecedented developments in the world steel market, Brazilian producers were offering to deliver iron ore to Chicago (the heart of the Great Lakes market) at prices substantially below local iron ore prices. The U.S. and Canadian iron ore industries faced a major crisis that cast doubt on their future. In response to the crisis, these industries dramatically increased productivity. Labor productivity doubled in a few years (whereas it had changed little in the preceding decade). Materials productivity increased by more than half. Capital productivity increased as well. I show that most of the productivity gains were due to changes in work practices. Work practice changes reduced overstaffing and hence increased labor productivity. Changes in work practices, by increasing the fraction of time equipment was in operating mode, also significantly increased materials and capital productivity.

This paper provides a quantitative assessment of the effects of inflation through changes in the value of nominal assets. We document nominal positions in the U.S. across sectors as well as different groups of households, and estimate the redistribution brought about by a moderate inflation episode. Redistribution takes the form of “ends-against-the-middle:” the middle class gains at the cost of the rich and poor. In addition, inflation favors the young over the old, and hurts foreigners. A calibrated OLG model is used to assess the macroeconomic implications of this redistribution under alternative fiscal policy rules. We show that inflation-induced redistribution has a persistent negative effect on output, but improves the weighted welfare of domestic households.

This paper presents a dynamic, stochastic general equilibrium study of the causes of the international Great Depression. We use a fully articulated model to assess the relative contributions of deflation/monetary shocks, which are the most commonly cited shocks for the Depression, and productivity shocks. We find that productivity is the dominant shock, accounting for about 2/3 of the Depression, with the monetary shock accounting for about 1/3. The main reason deflation doesn’t account for more of the Depression is because there is no systematic relationship between deflation and output during this period. Our finding that a persistent productivity shock is the key factor stands in contrast to the conventional view that a continuing sequence of unexpected deflation shocks was the major cause of the Depression. We also explore what factors might be causing the productivity shocks. We find some evidence that they are largely related to industrial activity, rather than agricultural activity, and that they are correlated with real exchange rates and non-deflationary shocks to the financial sector.

We study the optimal design of unemployment insurance for workers sampling job opportunities over time. We focus on the optimal timing of benefits and the desirability of allowing workers to freely access a riskless asset. When workers have constant absolute risk aversion preferences, it is optimal to use a very simple policy: a constant benefit during unemployment, a constant tax during employment that does not depend on the duration of the spell, and free access to savings using a riskless asset. Away from this benchmark, for constant relative risk aversion preferences, the welfare gains of more elaborate policies are minuscule. Our results highlight two largely distinct roles for policy toward the unemployed: (a) ensuring workers have sufficient liquidity to smooth their consumption; and (b) providing unemployment benefits that serve as insurance against the uncertain duration of unemployment spells.

Intellectual property protection involves a trade-off between the undesirability of monopoly and the desirable encouragement of creation and innovation. As the scale of the market increases, due either to economic and population growth or to the expansion of trade through treaties such as the World Trade Organization, this trade-off changes. We show that, generally speaking, the socially optimal amount of protection decreases as the scale of the market increases. We also provide simple empirical estimates of how much it should decrease.

Innovation and the adoption of new ideas are fundamental to economic progress. Here we examine the underlying economics of the market for ideas. From a positive perspective, we examine how such markets function with and without government intervention. From a normative perspective, we examine the pitfalls of existing institutions, and how they might be improved. We highlight recent research by ourselves and others challenging the notion that government awards of monopoly through patents and copyright are “the way” to provide appropriate incentives for innovation.

We propose a notion of smoothness of nonexpected utility functions, which extends the variational analysis of nonexpected utility functions to more general settings. In particular, our theory applies to state dependent utilities, as well as the multiple prior expected utility model, both of which are not possible in previous literatures. Other nonexpected utility models are shown to satisfy smoothness under more general conditions than the Fréchet and Gateaux differentiability used in the literature. We give more general characterizations of monotonicity and risk aversion without assuming state independence of utility function.

This paper studies the stability of a stochastic optimal growth economy introduced by Brock and Mirman [J. Econ. Theory 4 (1972)] by utilizing stochastic monotonicity in a dynamic system. The construction of two boundary distributions leads to a new method of studying systems with non-compact state space. The paper shows the existence of a unique invariant distribution. It also shows the equivalence between the stability and the uniqueness of the invariant distribution in this dynamic system.

This paper describes a newly constructed data set of all U.S. state banks from 1782 to 1861. It contains the names and locations of all banks and branches that went into business and an estimate of when each operated. The compilation is based on reported balance sheets, listings in banknote reporters, and secondary sources. Based on these data, the paper presents a count of the number of banks and branches in business by state. I argue that my series are superior to previously existing ones for reasons of consistency, accuracy, and timing. The paper contains examples to support this argument.

Time-varying risk is the primary force driving nominal interest rate differentials on currency-denominated bonds. This finding is an immediate implication of the fact that exchange rates are roughly random walks. We show that a general equilibrium monetary model with an endogenous source of risk variation—a variable degree of asset market segmentation—can produce key features of actual interest rates and exchange rates. The endogenous segmentation arises from a fixed cost for agents to exchange money for assets. As inflation varies, the benefit of asset market participation varies, and that changes the fraction of agents participating. These effects lead the risk premium to vary systematically with the level of inflation. Our model produces variation in the risk premium even though the fundamental shocks have constant conditional variances.

In this paper I develop continuous-time methods for solving dynamic principal-agent problems in which the agent’s privately observed productivity shocks are persistent over time. I characterize the optimal contract as the solution to a system of ordinary differential equations, and show that, under this contract, the agent’s utility converges to its lower bound—immiseration occurs. I also show that, unlike in environments with i.i.d. shocks, the principal would like to renegotiate with the agent when the agent’s productivity is low—it is not renegotiation-proof. I apply the theoretical methods I have developed and numerically solve this (Mirrleesian) dynamic taxation model. I find that it is optimal to allow a wedge between the marginal rate of transformation and individuals’ marginal rate of substitution between consumption and leisure. This wedge is significantly higher than what is found in the i.i.d. case. Thus, using the i.i.d. assumption is not a good approximation quantitatively when there is persistence in productivity shocks.

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.

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.

A Welfare-to-Work (WTW) program is a mix of government expenditures on “passive” (unemployment insurance, social assistance) and “active” (job search monitoring, training, wage taxes/subsidies) labor market policies targeted to the unemployed. This paper provides a dynamic principal-agent framework suitable for analyzing the optimal sequence and duration of the different WTW policies, and the dynamic pattern of payments along the unemployment spell and of taxes/subsidies upon re-employment. First, we show that the optimal program endogenously generates an absorbing policy of last resort (that we call “social assistance”) characterized by a constant lifetime payment and no active participation by the agent. Second, human capital depreciation is a necessary condition for policy transitions to be part of an optimal WTW program. Whenever training is not optimally provided, we show that the typical sequence of policies is quite simple: the program starts with standard unemployment insurance, then switches into monitored search and, finally, into social assistance. Only the presence of an optimal training activity may generate richer transition patterns. Third, the optimal benefits are generally decreasing or constant during unemployment, but they must increase after a successful spell of training. In a calibration exercise based on the U.S. labor market and on the evidence from several evaluation studies, we use our model to analyze quantitatively the features of the optimal WTW program for the U.S. economy. With respect to the existing U.S. system, the optimal WTW scheme delivers sizeable welfare gains, by providing more insurance to skilled workers and more incentives to unskilled workers.

The main substantive finding of the recent structural vector autoregression literature with a differenced specification of hours (DSVAR) is that technology shocks lead to a fall in hours. Researchers have used these results to argue that business cycle models in which technology shocks lead to a rise in hours should be discarded. We evaluate the DSVAR approach by asking, is the specification derived from this approach misspecified when the data are generated by the very model the literature is trying to discard? We find that it is misspecified. Moreover, this misspecification is so great that it leads to mistaken inferences that are quantitatively large. We show that the other popular specification that uses the level of hours (LSVAR) is also misspecified. We argue that alternative state space approaches, including the business cycle accounting approach, are more fruitful techniques for guiding the development of business cycle theory.

Expensed investments are expenditures financed by the owners of capital that increase future profits but, by national accounting rules, are treated as an operating expense rather than as a capital expenditure. Sweat investment is financed by worker-owners who allocate time to their business and receive compensation at less than their market rate. Such investments are made with the expectation of realizing capital gains when the business goes public or is sold. But these investments are not included in GDP. Taking into account hours spent building equity while ignoring the output introduces an error in measured productivity and distorts the picture of what is happening in the economy. In this paper, we incorporate expensed and sweat equity in an otherwise standard business cycle model. We use the model to analyze productivity in the United States during the 1990s boom. We find that expensed plus sweat investment was large during this period and critical for understanding the dramatic rise in hours and the modest growth in measured productivity.

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.