ABSTRACT This paper explores whether affine models with volatility jumps estimated on intradaily S&P 500 futures data over 1983 to 2008 can capture major daily outliers such as the 1987 stock market crash. Intradaily jumps in futures prices are typically small; self‐exciting but short‐lived volatility spikes capture intradaily and daily returns better. Multifactor models of the evolution of diffusive variance and jump intensities improve fits substantially, including out‐of‐sample over 2009 to 2016. The models capture reasonably well the conditional distributions of daily returns and realized variance outliers, but underpredict realized variance inliers. I also examine option pricing implications.

ABSTRACTWe study the effect of subjective mortality beliefs on life‐cycle behavior. With new survey evidence, we document that survival is underestimated (overestimated) by the young (old). We calibrate a canonical life‐cycle model to elicited beliefs. Relative to calibrations using actuarial probabilities, the young undersave by 26%, and retirees draw down their assets 27% slower, while the model's fit to consumption data improves by 88%. Cross‐sectional regressions support the model's predictions: Distorted mortality beliefs correlate with savings behavior while controlling for risk preferences, cognitive, and socioeconomic factors. Overweighting the likelihood of rare events contributes to mortality belief distortions.

ABSTRACT Using a large sample of institutional investors’ investments in private equity funds raised between 1991 and 2011, we estimate the extent to which investors’ skill affects their returns. Bootstrap analyses show that the variance of actual performance is higher than would be expected by chance, suggesting that some investors consistently outperform. Extending the Bayesian approach of Korteweg and Sorensen, we estimate that a one‐standard‐deviation increase in skill leads to an increase in annual returns of between one and two percentage points. These results are stronger in the earlier part of the sample period and for venture funds.