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Valuation of Game Options in Jump-Diffusion Model and with Applications to Convertible Bonds
Author(s) -
Lei Wang,
Jin Zhi-ming
Publication year - 2009
Publication title -
journal of applied mathematics and decision sciences
Language(s) - English
Resource type - Journals
eISSN - 1532-7612
pISSN - 1173-9126
DOI - 10.1155/2009/945923
Subject(s) - jump diffusion , convertible bond , convertible , valuation (finance) , stock price , jump , mathematical economics , call option , put option , stock options , bond , mathematics , economics , financial economics , econometrics , finance , thermodynamics , physics , paleontology , quantum mechanics , series (stratigraphy) , biology
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.

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