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A chooser option (or
preference option) is a
path
dependent option for which the purchaser pays an up-front premium and
has the choice of having the derivative be a vanilla
put or
call on a
given underlier. She has a fixed period of time to make that choice. There
is usually a single strike and
expiration date that apply to both the put
and call alternatives.
A typical structure might have the time to choose equal to half the
entire time to expiration of the instrument. The chooser feature becomes
increasingly valuable with longer choice periods. In the limiting case, as
the chooser period approaches the entire time to expiration, the
instrument becomes equivalent to a
straddle.
Not surprisingly, choosers are purchased as inexpensive alternatives to
straddles—they are volatility plays.
Rubenstein (1991) provides analytic formulas
for pricing chooser options, including structures in which the put and
call alternatives have different strikes and expiration dates. The
formulas are limited by the fact that they assume a single implied
volatility for the entire life of the instrument. More accurate pricing
requires separate volatility assumptions for the choice period and the
remaining life of the instrument following the choice.

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