Implied volatility of an american option with...

A standard option contract allowing for *early* exercise at the choice of the option holder

`optionality_fcn(v, ...)`

Return a version of v at time t corrected for any optionality conditions.

`recovery_fcn(v, S, t, ...)`

Return recovery value, given non-default values v at time t. Subclasses may be more elaborate, this method simply returns 0.0.

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