What you will learn
- Split an option's premium into intrinsic and time value
- Compute intrinsic value for a call and a put
- Compute time value as premium minus intrinsic value
- Understand time decay and why it matters
An option's premium, the price you pay, is not a single indivisible number. It is made of two parts, intrinsic value and time value, and separating them helps you understand why options are priced as they are and how their value changes over time. This decomposition builds directly on the moneyness you just learned.
Intrinsic value and extrinsic value (projectoption)
Breaks the premium into its two parts with clear examples. Focus on how intrinsic value ties to moneyness.
The two components
Every premium splits into intrinsic value plus time value (also called extrinsic value). Intrinsic value is what the option is worth if exercised right now. Time value is the extra amount buyers pay for the possibility that the option becomes more valuable before it expires. Together these two pieces account for the entire premium.
Intrinsic value: the in-the-money amount
Intrinsic value is directly tied to moneyness. For a call, it is the amount by which the price exceeds the strike, or zero if the call is out-of-the-money. For a put, it is the amount by which the strike exceeds the price, or zero if the put is out-of-the-money. Intrinsic value can never be negative, because no one would exercise at a loss, an out-of-the-money option simply has zero intrinsic value.
- S = current underlying price
- K = strike price
- max(0, …) = never below zero
- K = strike price
- S = current underlying price
- premium = the option's market price
- intrinsic value = the in-the-money amount
Key terms
- Intrinsic value
- What an option is worth if exercised now: the in-the-money amount, never negative.
- Time value
- The premium above intrinsic value, paid for the chance the option gains more before expiry. Also called extrinsic value.
- Time decay
- The steady erosion of time value as expiration approaches, accelerating near the end.
Splitting a call's premium
A call has a strike of 50 dollars. The stock is at 56 dollars, and the call's premium is 8 dollars. Find its intrinsic value and time value.
- Intrinsic value. max(0, S − K) is max(0, 56 − 50), which is 6 dollars.
- Time value. Premium minus intrinsic value is 8 minus 6, which is 2 dollars.
- Interpret. Of the 8 dollar premium, 6 is real exercise value and 2 is the price of remaining possibility.
Why it matters: The premium is always intrinsic plus time value. As expiration nears, that 2 dollars of time value bleeds toward zero, leaving only the intrinsic value at expiry.
Find a put's time value
A put has a strike of 50 dollars. The stock is at 45 dollars, and the put's premium is 7 dollars. What is the put's time value, in dollars?
Intrinsic value is what an option is worth now. Time value is what its remaining possibilities are worth. Possibilities decay, certainty does not.
The extrinsic value guide for options traders (tastylive)
Goes deeper on time value and what drives it. Watch for the roles of time remaining and volatility.
Time decay
The main thing to know about time value is that it erodes as expiration approaches, which is called time decay. With less time remaining, there is less opportunity for a favorable move, so time value steadily shrinks, and the decay accelerates as expiration nears. At expiration, time value reaches zero and the option is worth exactly its intrinsic value, nothing more. This erosion is captured by the Greek theta, and it is why option buyers race against the clock while option sellers benefit from the passage of time. Time value is also driven by volatility: a more volatile underlying is likelier to make a big favorable move, so it commands more time value.
Where does the premium come from?
An out-of-the-money call has a strike of 60 while the stock trades at 55, yet the call still has a premium of 1.50 dollars. What is that premium made of?
The call is out-of-the-money (stock 55, strike 60), so its intrinsic value is zero. The whole 1.50 dollar premium is time value, reflecting the possibility that the stock climbs above 60 before expiration.Why buyers race the clock
In your own words, explain why time decay hurts option buyers but helps option sellers.
Write an answer before comparing it with the model response.
Model answer
Time value is the part of the premium that pays for the possibility of a favorable move before expiration, and that possibility shrinks as time runs out. A buyer paid for that time value, so as it decays their option loses worth even if the underlying does not move, which is why buyers are racing against the clock and need the move to happen soon. A seller collected that time value up front and is effectively short it, so as the days pass and the time value erodes, the option they sold becomes cheaper to buy back or expires worthless, and the decay works in their favor. The same shrinking time value that costs the buyer is exactly what the seller earns.
The premium splits into intrinsic value, which is certain, and time value, which decays. The next lessons quantify exactly how an option's price responds to each force, starting with the Greeks and delta.