This paper shows that Edgeworth expansions for option valuation are equivalent to approximating option payoffs using Hermite polynomials. Consequently, the value of an option is the value of an infinite series of replicating polynomials. The resultant formulas express option values in terms of skewness, kurtosis, and higher moments. Unfortunately, the Hermite series diverges for fat-tailed models, so we provide alternative moment-based formulas. These formulas are a computationally efficient alternative to Fourier transform valuation and can value options even when the characteristic function is unknown. Applications include the first convergent solution for Hull and White’s stochastic volatility model.Received February 1, 2016; accepted June 27, 2016 by Editor Wayne Ferson.

Abstract We document that defined benefit pension plans with significant holdings in private equity (PE) earn substantially greater returns than plans with small holdings, in both the 1990s and the 2000s. A one standard deviation increase in PE holdings is associated with 4% greater returns per year. Up to one-third of this outperformance comes from lower costs that we link to economizing on costly intermediation by avoiding fund-of-funds and investing directly. The bulk of the outperformance comes from superior gross returns only partially explained by access and experience. We conjecture that larger PE investors have superior due diligence and ability to bridge information asymmetries in PE.

In the past 30 years, wage inequality has increased steeply while real minimum wages have fallen. This paper demonstrates that a general equilibrium model with endogenous skill choice is required to correctly evaluate the implications of minimum wage changes. The minimum wage not only truncates the wage distribution but also affects skill prices and therefore changes the incentives that people face when making educational decisions. The calibrated model suggests—in line with recent empirical literature—that even though minimum wages affect the bottom end of the wage distribution more, their impact on the top end is significant as well.

In recognition of the severe consequences of the recent international financial crisis, the topic of macroprudential policy has elicited considerable research effort. The present study constructs, for 46 economies around the globe, an index of the capacity to deploy macroprudential policies. Building on elements that have been the subject of recent research, we develop an index that aims to represent the essence of what constitutes a macroprudential regime. Specifically, the index quantifies: (1) how existing macroprudential frameworks are organized; and (2) how far a particular jurisdiction is from reaching the goals established by the Group of Twenty (G20) and the Financial Stability Board (FSB). The latter is a benchmark that has not been considered in the burgeoning literature that seeks to quantify the role of macroprudential policies.

There are persistent differences in self-reported subjective well-being across US metropolitan areas, and residents of declining cities appear less happy than others. Yet some people continue to move to these areas, and newer residents appear to be as unhappy as longer-term residents. While historical data on happiness are limited, the available facts suggest that cities that are now declining were also unhappy in their more prosperous past. These facts support the view that individuals do not maximize happiness alone but include it in the utility function along with other arguments. People may trade off happiness against other competing objectives.

There are two obvious possibilities that can account for the rise in productivity during recent recessions. The first is that the decline in the workforce was not random, and that the average worker was of higher quality during the recession than in the preceding period. The second is that each worker produced more while holding worker quality constant. We call the second effect, "making do with less," that is, getting more effort from fewer workers. Using data spanning June 2006 to May 2010 on individual worker productivity from a large firm, it is possible to measure the increase in productivity due to effort and sorting. For this firm, the second effect-that workers' effort increases-dominates the first effect-that the composition of the workforce differs over the business cycle.

Decisions involving charitable giving often occur under the shadow of risk. A common finding is that potential donors give less when there is greater risk that their donation will have less impact. While this behavior could be fully rationalized by standard economic models, this paper shows that an additional mechanism is relevant: the use of risk as an excuse not to give. In a laboratory study, participants evaluate risky payoffs for themselves and risky payoffs for a charity. When their decisions do not involve tradeoffs between money for themselves and the charity, they respond very similarly to self risk and charity risk. By contrast, when their decisions force tradeoffs between money for themselves and the charity, participants act more averse to charity risk and less averse to self risk. These altered responses to risk bias participants towards choosing payoffs for themselves more often, consistent with excuse-driven responses to risk. Additional results support the existence of excuse-driven types.

ABSTRACT This study examines the costs and benefits of uniform accounting regulation in the presence of heterogeneous firms that can lobby the regulator. A commitment to uniform regulation reduces economic distortions caused by lobbying by creating a free‐rider problem between lobbying firms at the cost of forcing the same treatment on heterogeneous firms. Resolving this tradeoff, an institutional commitment to uniformity is socially desirable when firms are sufficiently homogeneous or the costs of lobbying to society are large. We show that the regulatory intensity for a given firm can be increasing or decreasing in the degree of uniformity, even though uniformity always reduces lobbying. Our analysis sheds light on the determinants of standard‐setting institutions and their effects on corporate governance and lobbying efforts.

Using 1979–2012 CPS data for the United States and 1975–2012 NES data for Great Britain, we study wage behavior in both countries, with particular attention to the Great Recession. Real wages are procyclical in both countries, but the procyclicality of real wages varies across recessions, and does so differently between the two countries, in ways that defy simple explanations. We devote particular attention to the hypothesis that downward nominal wage rigidity plays an important role in cyclical employment and unemployment fluctuations. We conclude that downward wage rigidity may be less binding and have lesser allocative consequences than is often supposed.