Advances in Decision Sciences
Volume 2009 (2009), Article ID 945923, 17 pages
doi:10.1155/2009/945923

Valuation of game options in jump-diffusion model and with applications to convertible bonds

Abstract

Game option is an American-type option with added feature that the writer can exercise the option at any time before maturity. In this paper, we consider some type of game options and obtain explicit expressions through solving $Stefan(free boundary)$ problems under condition that the stock price is driven by some jump-diffusion process. Finally, we give a simple application about convertible bonds.