Despite great focus on and public investment in STEM education, little causal evidence connects quantitative coursework to students' economic outcomes. I show that state changes in minimum high school math requirements substantially increase Black students' completed math coursework and their...

The large asset price jumps that took place during 2008 and 2009 disrupted volatility derivatives markets and caused the single-name variance swap market to dry up completely. This paper defines and analyzes a simple variance swap, a relative of the variance swap that in several respects has...

Empirical studies of the relationship between school inputs and test scores typically do not account for the fact that households will respond to changes in school inputs. We present a dynamic household optimization model relating test scores to school and household inputs, and test its...

We estimate the trend in the transitory variance of male earnings in the U.S. using the Michigan Panel Study of Income Dynamics from 1970 to 2004. Using both an error components model as well as simpler but only approximate methods, we find that the transitory variance started to increase in the...

Shocks to equity options' ATM implied volatility (ATMIV) are followed by persistently lower short-term rates. Shocks to the ratio of OTM puts' over OTM calls' implied volatilities (P/C) are followed by persistently higher rates. The stock's and Treasury-bond's ATMIV indices, which measure market...

When excess returns are used to estimate linear stochastic discount factor (SDF) models, researchers often adopt a normalization of the SDF that sets its mean to 1, or one that sets its intercept to 1. These normalizations are often treated as equivalent, but they are subtly different both in...