Securities whose payoffs depend upon the actual path of the underlying state variables pose problems for standard backward-valuation techniques. In this paper, we show that there is a method of solving such problems that requires the addition of but a single auxiliary state variable. The...

Path dependent securities depend on current and past values of underlying state variables. Consequently, the usual backward evaluation technique is difficult to apply since state variable values existing earlier in real time are unknown. This paper develops a series of propositions which makes...