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Upon exercise, a put option is valued at K-S if it is "in-the-money", otherwise its value is zero. Prior to exercise, an option has time value apart from its intrinsic value. The following factors reduce the time value of a put option: shortening of the time to expire, decrease in the volatility of the underlying, and increase of interest rates.
A put option is out-of-the-money if the underlying's spot price is higher than the strike price. As shown in the below equations and graph, the intrinsic value (IV) of a call option is positive when the underlying asset's spot price S exceeds the option's strike price K. Value of a call option: [(),], or () + Value of a put option: [(),], or () +
The intrinsic value (or "monetary value") of an option is its value assuming it were exercised immediately. Thus if the current price of the underlying security (or commodity etc.) is above the agreed 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 intrinsic value is the difference between the underlying spot price and the strike price, to the extent that this is in favor of the option holder. For a call option, the option is in-the-money if the underlying spot price is higher than the strike price; then the intrinsic value is the underlying price minus the strike price.
In fact, typically, the literal first derivative w.r.t. time of an option's value is a positive number. The change in option value is typically negative because the passage of time is a negative number (a decrease to , time to expiry). However, by convention, practitioners usually prefer to refer to theta exposure ("decay") of a long option as ...
Here, the programmer has assumed that total is non-negative, so that the remainder of a division with 2 will always be 0 or 1. The assertion makes this assumption explicit: if countNumberOfUsers does return a negative value, the program may have a bug.
In programming languages (especially functional programming languages) and type theory, an option type or maybe type is a polymorphic type that represents encapsulation of an optional value; e.g., it is used as the return type of functions which may or may not return a meaningful value when they are applied.
Python supports normal floating point numbers, which are created when a dot is used in a literal (e.g. 1.1), when an integer and a floating point number are used in an expression, or as a result of some mathematical operations ("true division" via the / operator, or exponentiation with a negative exponent). Python also supports complex numbers ...