RT Journal Article SR Electronic T1 A Simplified Approach to Approximate Diffusion Processes Widely Used in Finance JF The Journal of Derivatives FD Institutional Investor Journals SP 65 OP 85 DO 10.3905/jod.2010.17.3.065 VO 17 IS 3 A1 Massimo Costabile A1 Ivar Massabó YR 2010 UL https://pm-research.com/content/17/3/65.abstract AB We propose a simplified approach to approximate a variety of heteroskedastic diffusions widely used in finance to describe the evolution of state variables such as equity prices, short interest rates, and others. In contrast to the common approach based on approximating a new homoskedastic process obtained by transforming the original heteroskedastic one, we build up binomial and trinomial trees that directly discretize the initial process. Despite this, the proposed approximation models are based on recombining lattices that converge weakly to the corresponding limiting diffusion. Numerical results show that the proposed algorithms are efficient and that they compute accurate prices.TOPICS: Derivatives, security analysis and valuation, statistical methods