Risk-Minimizing Hedging for Indexed Stock Options under Jump-Diffusion Processes

With conditional mean square error of hedging cost process as risk measure, this paper presents risk-minimizing hedging for indexed stock options under jump diffusion processes. Firstly, the cost process of hedging with risk-minimizing criterion is testified to be a martingale. Then, the explicit optimal strategy is given using backward recursive method. Lastly, an exemplification based on China Stock Markets is given as an example to illuminate the relationship between underlying asset positions and option’s maturity horizon and position adjusting frequency