PT - JOURNAL ARTICLE AU - Dietmar P.J. Leisen TI - Stock Evolution Under Stochastic Volatility AID - 10.3905/jod.2000.319146 DP - 2000 Nov 30 TA - The Journal of Derivatives PG - 9--27 VI - 8 IP - 2 4099 - https://pm-research.com/content/8/2/9.short 4100 - https://pm-research.com/content/8/2/9.full AB - Stochastic volatility appears to be a fact of life in real-world derivatives markets, but it presents huge difficulties for valuation models. Adding a second stochastic variable in addition to the asset price significantly complicates matters. And things become only worse if one wants to model the volatility process realistically, as having a mean-reverting drift of the stock price process as a priced factor. Amercican exercise throws further complications into the situation. A number of useful closed-form and numerical approximation models have been developed over time, but only for particular special cases. In this article, Leisen presents a procedure for constructing a general three-dimensional valuation lattice that can handle a broad range of stochastic volatility models, including those in the literature.