Pricing Options With Price Limits and Market Illiquidity

Abstract

The effects of price limits and market illiquidity are crucial for pricing derivatives based on some underlying assets traded in the markets with a price limit rule and an illiquidity phenomenon. We develop models to value options for the cases of either the underlying assets encountering price limits and market illiquidity, or when the underlying assets are imposed with price limits and the options themselves show market illiquidity in this paper. The Black–Scholes (1973) model, the Krakovsky (1999) model, and the Ban, Choi, and Ku (2000) model are presented as special cases of our model. Our numerical results show that both the price limit and market illiquidity significantly affect the option values.