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G-2005-42

Pricing ASX Installment Warrants under GARCH

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Installment options are a generalization of compound options, where the holder periodically decides whether to keep an option alive or not by paying the installment. We propose a numerical procedure, based on dynamic programming coupled with piecewise polynomial approximations, to price installment options when the underlying asset price follows a GARCH process. Numerical experiments are carried out using data from the Australian Stock Exchange. Computed option prices under GARCH and Black-Scholes models are compared to traded prices.

, 17 pages

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