Implied probability density functions (PDFs) estimated from cross-sections of observed options prices are gaining increasing attention amongst academics and practitioners. However, to date little attention has been paid to the robustness of these estimates or to the confidence users can place in...

Cross-sections of option prices embed the risk-neutral probability densities functions (PDFs) for the future values of the underlying asset. Theory suggests that risk-neutral PDFs differ from market expectations due to risk premia. Using a utility function to adjust the risk-neutral PDF to...