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This study shows that in a standard one-sector neoclassical growth model, in which money is introduced with a cash-in-advance constraint, zero nominal interest rates are optimal. Milton Friedman argued in 1969 that zero nominal rates are necessary for efficient resource allocation. This study shows that they are not only necessary but sufficient. The study also characterizes the monetary policies that will implement zero rates. The set of such policies is quite large. The only restriction these policies must satisfy is that asymptotically money shrinks at a rate no greater than the rate of discount.

The magnitude of and heterogeneity in systematic earnings risk has important implications for various theories in macro, labor, and financial economics. Using administrative data, we document how the aggregate risk exposure of individual earnings to GDP and stock returns varies across gender, age, the worker’s earnings level, and industry. Aggregate risk exposure is U-shaped with respect to the earnings level. In the middle of the earnings distribution, aggregate risk exposure is higher for males, younger workers, and those in construction and durable manufacturing. At the top of the earnings distribution, aggregate risk exposure is higher for older workers and those in finance. Workers in larger employers are less exposed to aggregate risk, but they are more exposed to a common factor in employer-level earnings, especially at the top of the earnings distribution. Within an employer, higher-paid workers have higher exposure to employer-level risk than lower-paid workers.

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.

A current U.S. policy is to introduce a new style of currency that is harder to counterfeit, but not immediately to withdraw from circulation all of the old-style currency. This policy is analyzed in a random matching model of money, and its potential to decrease counterfeiting in the long run is shown. For various parameters of the model, three types of equilibria are found to occur. In only one does counterfeiting continue at its initial high level. In the other two, both genuine and counterfeit old-style money go out of circulation—immediately in one and gradually in the other. There are objectives and expectations that can reasonably be imputed to policymakers, under which the policy that they have chosen can make sense.

A current U.S. policy is to introduce a new style of currency that is harder to counterfeit, but not immediately to withdraw from circulation all of the old-style currency. This policy is analyzed in a random-matching model of money, and its potential to decrease counterfeiting in the long run is shown. For various parameters of the model, three types of equilibria are found to occur. In only one does counterfeiting continue at its initial high level. In the other two, both genuine and counterfeit old-style money go out of circulation—immediately in one and gradually in the other. There are objectives and expectations that can reasonably be imputed to policymakers, under which the policy that they have chosen can make sense.