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This paper proves that the optimal exercise time for the holder of an American option depends upon the physical drift of the underlying asset and the utility of the option holder. We illustrate our results by applying them to several families of utility functions, namely the CARA, the HARA, and the expected return. While the option holder maximises his utility, the issuer gains from the di eren...

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What is an Option? An option gives the holder the right, but not the obligation to either buy or sell some stated underlying asset at an agreed exercise price ('strike price'), either before or at some fixed date. In a legal sense an option can be categorised as a 'contingent claim' contract. The seller of an option (also known as a 'writer') grants the purchaser this right (option) in return f...

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