A lattice-based method is advanced for evaluating functionals of sequences of path-wise values of a lattice's state variable. For the Asian call valuations in this paper, the lattices discretely replicate the stochastic future states of conventionally prescribed, lognormally distributed, equity...

Binomial lattices are sequences of discrete distributions commonly used to approximate the future value states of a financial claim, such as a stock price, when the instantaneous rate of return is assumed to be governed by a Wiener diffusion process. In that case, both pedagogical and...

This note derives new expressions for the moments of the average of values taken by Wiener paths at an arbitrary number, N, of discrete times. The expressions are closed summations, which entail only the N-th powers of, and the successive differences between, the moments of the lognormal finite...

A simple transform of a standard uniform variate is given for simulation of the maximum attained by a Wiener process with drift, conditioned upon the level attained by the process over an arbitrary time interval. The transform arises directly from inversion of the joint distribution function of...