We propose a model of volatility tail behavior, in which the pricing measure dominates the physical measure in both tails of the volatility distribution and, hence, the derived pricing kernel exhibits an increasing and decreasing region in the volatility dimension. The model features investors...

When the pricing kernel is U-shaped, then expected returns of claims with payout on the upside are negative for strikes beyond a threshold, determined by the slope of the U-shaped kernel in its increasing region, and have negative partial derivative with respect to strike in the increasing...

When the pricing kernel is U-shaped, then expected returns of claims with payout on the upside are negative for strikes beyond a threshold, determined by the slope of the U-shaped kernel in its increasing region, and have negative partial derivative with respect to strike in the increasing...

We propose a model of volatility tail behavior, in which investors display aversion to both low volatility and high volatility states, and, hence, the derived pricing kernel exhibits an increasing and decreasing region in the volatility dimension. The model features investors who have...

Learning the pre limited liability value process of equity claims and its relationship to the stock price is an answer to the financial jeorpardy question when observed option prices are the answer being given by the market. Constant dollar equity holder values, prior to the imposition of...