Journal of Applied Mathematics and Stochastic Analysis
Volume 2006 (2006), Article ID 60824, 9 pages
doi:10.1155/JAMSA/2006/60824
Abstract
We use an asymptotic expansion to study the behavior of installment options close to expiry. Installment options are contracts where the price is paid over the life of the option rather than as a lump sum at the time of purchase, and where the contract can be allowed to lapse at any time. Series solutions are obtained for the location of the free boundary and the price of the option.