This paper proposes a dimension reduction technique on lattice model, an extension of the discrete CRR (1979) model, for option pricing. Applications are demonstrated on pricing some vulnerable options with the payo...This paper proposes a dimension reduction technique on lattice model, an extension of the discrete CRR (1979) model, for option pricing. Applications are demonstrated on pricing some vulnerable options with the payoff functions including two stochastic processes: the underlying stock price and the assets value of the option writer. Instead of building a bivariate tree structure for these correlated processes, a univariate binomial tree for the underlying stock price is only constructed. The proposed univariate binomial tree model is sufficient to undertake, though two underlying assets are involved.展开更多
文摘This paper proposes a dimension reduction technique on lattice model, an extension of the discrete CRR (1979) model, for option pricing. Applications are demonstrated on pricing some vulnerable options with the payoff functions including two stochastic processes: the underlying stock price and the assets value of the option writer. Instead of building a bivariate tree structure for these correlated processes, a univariate binomial tree for the underlying stock price is only constructed. The proposed univariate binomial tree model is sufficient to undertake, though two underlying assets are involved.