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Intrinsic value, extrinsic value & time decay
What you are really paying for, and how theta eats it.
10 min · Beginner · Free lesson
What you'll learn
- Split any option premium into intrinsic and extrinsic value
- Explain why extrinsic value decays to zero by expiration
- Recognize how time decay accelerates in the final weeks
The idea
Every option premium has two parts. Intrinsic value is what the option would be worth if it expired right now. Extrinsic value (also called time value) is everything else: the price of time and possibility.
Intrinsic value is real and can only change when the stock moves. Extrinsic value is temporary. By expiration, it is always zero. The daily loss of extrinsic value is called time decay, or theta.
Think of extrinsic value like an ice cube you bought on a warm day. You paid for the whole cube, but it is melting from the moment you pick it up. At first it melts slowly. Near the end, it disappears fast. When you buy an option, the stock must move far enough, soon enough, to beat the melt.
How it works
Intrinsic value
- Call: stock price minus strike, if positive. Otherwise zero.
- Put: strike minus stock price, if positive. Otherwise zero.
- OTM and ATM options have zero intrinsic value.
Extrinsic value
- Extrinsic = premium - intrinsic.
- It is largest for ATM options and shrinks as you go deeper ITM or farther OTM.
- It is higher with more time left and with higher implied volatility (next lesson).
Time decay (theta)
- Extrinsic value falls toward zero as expiration approaches, if nothing else changes.
- Decay is not a straight line. It is slow when expiration is far away and speeds up sharply in the last few weeks, especially for ATM options.
- Weekends count. The calendar keeps running even when the market is closed.
- Option buyers pay theta. Option sellers collect it. Neither side gets a free lunch: sellers take on other risks in exchange.
Worked example
Hypothetical stock XYZ trades at $105, 30 days to expiration.
$100 call priced at $7.20
- Intrinsic = $105 - $100 = $5.00
- Extrinsic = $7.20 - $5.00 = $2.20
- Per contract: $500 of real value plus $220 of time value.
$110 call priced at $1.90
- Intrinsic = $0 (the stock is below the strike)
- Extrinsic = $1.90, all of it. If XYZ stays at $105, this entire $190 melts away by expiration.
$110 put priced at $6.50
- Intrinsic = $110 - $105 = $5.00
- Extrinsic = $6.50 - $5.00 = $1.50
Watching decay accelerate. Now take a hypothetical ATM call on a $100 stock. The stock sits exactly at $100 the whole time and volatility does not change. The call's price might look like this:
- 60 days left: $6.00
- 30 days left: $4.24
- 14 days left: $2.90
- 7 days left: $2.05
- 1 day left: $0.77
From 60 to 30 days, it lost $1.76 over 30 days, about $0.06 per day ($6 per contract per day). From 7 days to 1 day, it lost $1.28 over 6 days, about $0.21 per day ($21 per contract per day). Same option, same stock price, but the daily melt more than tripled near the end.
This is why holding a long option into the final week while "waiting for the move" is so costly. It is also why a stock that goes sideways is a loss for an option buyer, even though the stock holder is flat.
Common mistakes
- Paying for extrinsic value you do not need — a far-OTM option is 100% time value that is guaranteed to melt — know how much of your premium is extrinsic before you buy.
- Holding long options into the last week — theta is fastest there, and small delays turn into big losses — plan to exit or roll before the steepest decay if the move has not come.
- Forgetting weekends — two calendar days pass with no chance for the stock to move in your favor — factor weekends into short-dated trades.
- Treating sideways as "not losing" — the stock can be flat while your option bleeds — use a time stop, not just a price stop.
Checklist
- Can I split this premium into intrinsic and extrinsic value?
- How many dollars of extrinsic value am I paying per contract?
- Does my stock setup need to move before theta speeds up?
- Do I have a time stop if the stock goes sideways?
- Am I avoiding holding into the final days unless that is the plan?
Practice: Split the premium
- In Paper Sim, open a 30-day chain on AAPL or SPY and note the stock price.
- Pick one ITM call, one ATM call and one OTM call and calculate intrinsic and extrinsic value for each.
- Look at the same ATM strike in a 7-day expiration and compare its extrinsic value per day remaining.
- Open one paper ATM call and record its value in the Trade Journal at the same time each day for a week.
- At the end of the week, ask the AI Coach to help you separate the change due to price moves from the change due to time.
Key takeaways
- Premium = intrinsic value + extrinsic value.
- Intrinsic value is what the option is worth if exercised now; extrinsic value is time and possibility.
- Extrinsic value always reaches zero at expiration.
- Time decay accelerates in the final weeks, especially for at-the-money options.
- A sideways stock is a losing trade for an option buyer because of theta.
Glossary
- Intrinsic value — The amount an option is in the money; zero for at-the-money and out-of-the-money options.
- Extrinsic value — The part of the premium above intrinsic value, paid for time and possibility; it goes to zero at expiration.
- Theta — The estimated amount an option loses per day from time decay, all else equal.
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