In general, American options cannot be valued by closed-form formulas. There is however an exception within the setting of dividendpaying assets. It is known that American call options will be exercised early, only at a time just prior to an ex-dividend date. In extending the Roll-Geske-Whaley...

This paper revisits the compound options as introduced by R. Geske (2). Geske presented a theory for pricing an option on an option which he defined as a compound option. He developed a closed form expression for this kind of options. In this paper we will extend the notion of compound option to...

In this paper we determine the dependence of the n-fold compound option to the value of the firm V and to the variance rate 2. For practical purposes some numerical results are added, calculated with Mathematica and with a Fortran procedure for multivariate integrals.

In a previous paper by Thomassen and Van Wouwe [5] the notion of an n-fold compound option was introduced as a generalization of Geske’s compound option [3]. To compute such an n-fold numerically remains possible but tedious because most algorithms are not capable to compute multivariate...