Improving Convergence of Binomial Schemes and the Edgeworth Expansion

Abstract

Binomial trees are very popular in both theory and applications of option pricing. As they often suffer from an irregular convergence behavior, improving this is an important task. We build upon a new version of the Edgeworth expansion for lattice models to construct new and quickly converging binomial schemes with a particular application to barrier options.

Keywords

• binomial model
• Black–Scholes model
• option pricing
• accelerated convergence
• weak convergence