We combine two approaches to the pricing kernel, one empirical and one theoretical, which relax the restriction that the objective return distribution and risk neutral distribution share the same volatility and higher order moments. The empirical approach provides estimates for the evolution of...

We develop a novel class of time-changed Lévy models which are tractable and readily applicable, capture the leverage effect, and exhibit pure jump processes with finite or infinite activity. Our models feature four nested processes reflecting market, volatility and jump risks, and observation...

We estimate investors' sentiment from option and stock prices by anchoring objective beliefs to a neoclassical pricing kernel. Our estimates of sentiment correlate well with other sentiment measures such as the Baker–Wurgler index, the Yale/Shiller crash confidence index and the Duke/CFO...