Intrinsic Value and Time Value
The intrinsic value (or "monetary value") of an option is its value assuming it were exercised immediately. Thus if the current (spot) price of the underlying security (or commodity etc.) is above the agreed (strike) price, a call has positive intrinsic value (and is called "in the money"), while a put has zero intrinsic value (and is "out of the money").
The time value of an option is the total value of the option, less the intrinsic value. It partly arises from the uncertainty of future price movements of the underlying. A component of the time value also arises from the unwinding of the discount rate between now and the expiry date. In the case of a European option, the option cannot be exercised before the expiry date, so it is possible for the time value to be negative; for an American option if the time value is ever negative, you exercise it (ignoring special circumstances such as the security going ex dividend): this yields a boundary condition.
Read more about this topic: Moneyness
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