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The put buyer/owner is short on the underlying asset of the put, but long on the put option itself. That is, the buyer wants the value of the put option to increase by a decline in the price of the underlying asset below the strike price. The writer (seller) of a put is long on the underlying asset and short on the put option itself.
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.
Put option: A put option gives its buyer the right, but not the obligation, to sell a stock at the strike price prior to the expiration date. When you buy a call or put option, you pay a premium ...
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 () +
Options: contracts that give the owner the right, but not the obligation, to buy (in the case of a call option) or sell (in the case of a put option) an asset. The price at which the sale takes place is known as the strike price, and is specified at the time the parties enter into the option. The option contract also specifies a maturity date.
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 ...
Call options vs. put options The other major kind of option is called a put option, and its value increases as the stock price goes down. So traders can wager on a stock’s decline by buying put ...