The behavior of the implied volatility surface for European options was analyzed in details in [Zumbach and Fernandez, 2011] for prices computed with a new option pricing scheme based on the construction of the risk-neutral measure for realistic processes with a finite time increment. The...

The notion of model-free implied volatility (MFIV), constituting the basis for the highly publicized VIX volatility index, can be hard to measure with accuracy due to the lack of precise prices for options with strikes in the tails of the return distribution. This is reflected in practice as the...

This paper studies the valuation of multivariate equity options by determining the joint risk-neutral distribution of the underlying stock prices by means of copulas. In contrast to previous work which concentrates on two underlyings this study considers the general multivariate case. In...

We establish general theory of foreign exchange derivatives (FXD), for multidimensional, possibly incomplete, Itô SDE market/econometric models. The established theory is consistent with the one of foreign exchange rates (FXR) introduced by the author in a previous note. A very simple example...

The detrended implied volatility of commodity options (VOL) forecasts the cross section of the commodity futures returns significantly. A zero-cost strategy that is long in low VOL and short in high VOL commodities yields an annualized return of 12.66% and a Sharpe ratio of 0.69. Notably, the...