Pricing for European Lookback Options with Time Varying Parameters and Stochastic Life

Assumes that a kind of risk, caused by stochastic stopping, is nonsystematic, by means of stochastic differential equation , martingale method, and European contingent claim pricing formula with stochastic life, studies European lookback options pricing with stochastic life and the underlying asset obeying diffusing process under the multi-dimensional models with parame- ters time varying , and obtains corresponding pricing formula.