EARLY EXERCISE DECISION IN AMERICAN OPTIONS

WITH DIVIDENDS, STOCHASTIC VOLATILITY AND JUMPS

COSMA, A. *, GALLUCCIO, S. **, PEDERZOLI, P. *** and SCAILLET, O. ***

* Université du Luxembourg ** Incipit Capital, Londont

*** Université de Genève and Swiss Finance Institute

 

Abstract

Using a fast numerical technique, we investigate a large database of investor suboptimal nonexercise of short maturity American call options on dividend-paying stocks listed on the Dow Jones. The correct modelling of the discrete dividend is essential for a correct calculation of the early exercise boundary as confirmed by theoretical insights. Pricing with stochastic volatility and jumps instead of the Black-Scholes-Merton benchmark cuts by a quarter the amount lost by investors through suboptimal exercise. The remaining three quarters are largely unexplained by transaction fees and may be interpreted as an opportunity cost for the investors to monitor optimal exercise.

Keywords : Option pricing, American option, Bermudan option, discrete transform, discrete dividend paying stock, suboptimal non-exercise, numerical techniques.

JEL : G13, C63.