Suppose the holder of the chooser option can make the choice of either a call or a

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Suppose the holder of the chooser option can make the choice of either a call or a put at any time between now and a later cutoff date Tc. Is it optimal for the holder to make the choice at some time before Tc?

Apparently, the price function of the chooser option depends on T[see (3.4.23)]. Check whether the price function is an increasing or decreasing function of Tc. Consider the extreme case where Tc coincides with the expiration date of the option.

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