RT Journal Article
SR Electronic
T1 A General Accurate Approximation for Pricing and Hedging Basket Options with Exact Moment Matching
JF The Journal of Derivatives
FD Institutional Investor Journals
SP 68
OP 86
DO 10.3905/jod.2019.1.072
VO 26
IS 3
A1 Feifan Wu
A1 Xundi Diao
A1 Chongfeng Wu
YR 2019
UL https://pm-research.com/content/26/3/68.abstract
AB This article provides a new methodology for pricing and hedging basket options. The authors approximate the basket by using the shifted log-normal distribution with the polynomial expansion, which can match exactly any required m moments of the basket, to give quasi-analytical formulas for the prices and hedging parameters of basket options. Numerical simulations show that the methodology provides superior results for basket option prices and hedging parameters. This methodology works well not only for regular baskets but also for negative-weight baskets and negative-value baskets. Compared with the best available methods, the authors’ methodology appears to perform better.TOPICS: Options, simulations, statistical methods