A new valuation and calibration method for VIX futures and VIX options is proposed. The method is based on a closed-form Hermite series expansion for a stochastic volatility model with the stochastic variance process driven by an affine drift term. We implement the methodology for the Heston and...

Equity returns are addressed by a new General Auto-Regressive Asset Model (GARAM). In this model, two stochastic processes are employed to represent the return magnitude and return sign. Empirical auto-covariance and cross-covariance functions of the return magnitude and return sign are key...

Risk control, capital allocation, and realistic derivative pricing and hedging are critical concerns for major financial institutions and individual traders alike. Events from the collapse of Lehman Brothers to the Greek sovereign debt crisis demonstrate the urgent and abiding need for...