It is now well known that the Sharpe ratio and other related reward-to-risk measures may be manipulated with option-like strategies. In this paper we derive the general conditions for achieving the maximum expected Sharpe ratio. We derive static rules for achieving the maximum Sharpe ratio with...

Over the past two decades, respondents to the Shiller Investor Confidence Surveys assess the probability of a catastrophic stock market crash to be much higher that the historical frequency of such events. We decompose these crash probabilities into fundamental and subjective components and use...

The financial press is a conduit for popular narratives that reflect collective memory about historical events. Some collective memories relate to major stock market crashes, and investors may rely on associated narratives, or "crash narratives," to inform current beliefs and choices. Using...