In this paper we consider a class of BSDEs with drivers of quadratic growth, on a stochastic basis generated by continuous local martingales. We first derive the Markov property of a forward-backward system (FBSDE) if the generating martingale is a strong Markov process. Then we establish the...

Using daily options prices on the Eurostoxx 50 stock index over the whole year 2008, we compare the performance of three popular Stochastic Volatility (SV) models (Heston, 1993; Bates, 1996; Heston and Nandi, 2000), in addition to the traditional Black-Scholes model and a proprietary trading desk model....

In this paper locally risk-minimizing hedge strategies for European-style contingent claims are derived and tested for a general class of stochastic volatility models. These strategies are as easy to implement as ordinary delta hedges, yet in realistic settings they produce markedly lower hedge...

In this paper we consider a class of BSDEs with drivers of quadratic growth, on a stochastic basis generated by continuous local martingales. We first derive the Markov property of a forward-backward system (FBSDE) if the generating martingale is a strong Markov process. Then we establish the...