How to Calculate the Intrinsic Value of an Option
The intrinsic value of a call option is max(0, stock price − strike price); for a put it is max(0, strike price − stock price). If the subtraction comes out negative, intrinsic value is zero. Everything you pay above intrinsic value is extrinsic (time) value — and that part decays.
Every option premium splits into two parts: intrinsic value — what the option would be worth if you exercised it this second — and extrinsic value, which is everything else (time and implied volatility). The intrinsic side is one line of arithmetic, and knowing it explains one of the most confusing experiences in options: watching an in-the-money position lose money anyway.
The intrinsic value of an option formula
- Call: intrinsic value = max(0, stock price − strike price)
- Put: intrinsic value = max(0, strike price − stock price)
The max(0, …) wrapper does real work. If the subtraction is negative, intrinsic value is simply zero — the formula floors it there by definition, so an option cannot carry negative intrinsic value. An out-of-the-money option therefore has zero intrinsic value; its entire premium is extrinsic. Multiply the per-share result by 100 to get the dollar value for one standard US equity contract.
Worked example: a call
A stock trades at $57 and you hold a $50-strike call.
- Intrinsic value = max(0, 57 − 50) = $7.00 per share.
- One contract covers 100 shares, so intrinsic value = 7.00 × 100 = $700 per contract.
- If that call is quoted at $8.40, extrinsic value = 8.40 − 7.00 = $1.40 per share ($140 per contract). That $1.40 is what the market charges for the time and volatility remaining.
Worked example: a put
The same stock falls to $42 and you hold a $50-strike put.
- Intrinsic value = max(0, 50 − 42) = $8.00 per share, or $800 per contract.
- If the put is quoted at $8.90, extrinsic value = 8.90 − 8.00 = $0.90 per share ($90 per contract).
The out-of-the-money case: intrinsic value is zero
With the stock at $57, a $60-strike call works out to max(0, 57 − 60) = max(0, −3) = $0.00. If that call trades at $1.15, all $1.15 is extrinsic. Same idea on the put side: with the stock at $42, a $40-strike put is max(0, 40 − 42) = $0.00 intrinsic.
Quick reference: stock at $100
| Option | Strike | Formula | Intrinsic value |
|---|---|---|---|
| Call | $90 | max(0, 100 − 90) | $10.00 |
| Call | $100 | max(0, 100 − 100) | $0.00 |
| Call | $110 | max(0, 100 − 110) | $0.00 |
| Put | $110 | max(0, 110 − 100) | $10.00 |
| Put | $100 | max(0, 100 − 100) | $0.00 |
| Put | $90 | max(0, 90 − 100) | $0.00 |
Why in-the-money options still lose money
Back to the call example: you paid $8.40 for the $50 call with the stock at $57 — $7.00 of intrinsic plus $1.40 of extrinsic. Suppose the stock goes nowhere and sits at $57 through expiration. The option converges to its intrinsic value of $7.00, and you lose 8.40 − 7.00 = $1.40 per share, or $140 per contract (−16.7%), despite the option being in the money the entire time.
The reason is the breakeven. For a long call, breakeven at expiration = strike + premium paid = 50 + 8.40 = $58.40. The stock has to climb past that before the position profits at expiry. Two forces work against the extrinsic slice along the way: theta decay, and any drop in implied volatility, which can compress extrinsic value quickly. You can model this before entering with the free options profit calculator at /tools/.
Parity at expiration
At expiration, extrinsic value goes to zero and an option's price converges to its intrinsic value — traders call this trading at parity. The $50 call with the stock at $57 at expiry is worth $7.00, no more and no less. If an in-the-money option were offered meaningfully below parity before the close, buyers could purchase it and exercise for the difference, which is why quotes tend to stay pinned near intrinsic value late on expiration day. In the US, equity options that finish in the money by $0.01 or more are typically exercised automatically unless the holder instructs otherwise, while out-of-the-money options expire worthless — the whole premium was extrinsic, and it went to zero.
One transparency note from our own shop: ClaudeQuantAlgo publishes a timestamped, loss-inclusive public record, including a hypothetical backtest of 161 simulated trades that ran a 46.6% win rate and a 0.82 profit factor — simulated, and it lost money. We publish it because intrinsic-value math is exact, but trading outcomes are not.
Education and research only — not financial advice, and ClaudeQuantAlgo is not a registered investment adviser. All performance figures referenced are hypothetical/simulated.
Common questions
What is the intrinsic value of an option formula?
Can an option's intrinsic value be negative?
Why is my in-the-money option losing money?
What happens to intrinsic value at expiration?
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Last updated 2026-07-15 · ClaudeQuantAlgo Research Desk · research and education only.
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