Every Premium Is Two Numbers Stacked Together
Split any premium into its two halves and watch which one disappears as expiration approaches.
Worth reading first: Moneyness: Where the Stock Sits Relative to Your Strike
Every option premium is two numbers wearing one price tag. One of them is real today and will still be real at expiration. The other is a bet on what happens between now and then, and it is guaranteed to be worth exactly zero on the final day.
Separating them is the most useful habit in options. It turns “the premium is $4.20” into “$3.00 of that is already mine and $1.20 is what I am actually trading” — and those are very different sentences.
Split the premium in two
A stacked view of one put’s value. Switch the horizontal axis between stock price and days remaining to see how each half behaves.
- Intrinsic — survives to expiration
- Extrinsic — decays to zero
The two halves
Premium = intrinsic value + extrinsic valueExtrinsic value is defined as the leftover. It is never negative in a rational market.
Intrinsic value is what the contract would be worth if the stock stopped moving right now and stayed there until expiration. It is pure arithmetic: how far in the money the contract is, and nothing else. An out-of-the-money option has zero.
Extrinsic value — also called time value — is everything above intrinsic. It is the market’s price for the possibility that the stock moves somewhere useful before the contract dies. It depends on how much time is left, how volatile the stock is expected to be, and how close the strike is to the money.
| Strike | Premium | Intrinsic | Extrinsic | What a seller is really collecting |
|---|---|---|---|---|
| $85 (far OTM) | $0.35 | $0.00 | $0.35 | $35 |
| $95 (near the money) | $2.55 | $0.00 | $2.55 | $255 |
| $100 (slightly ITM) | $5.10 | $3.00 | $2.10 | $210 |
| $115 (deep ITM) | $18.10 | $18.00 | $0.10 | $10 |
A stock at $97. Four put strikes, 45 days out, 30% implied volatility. Values rounded.
The last row is the lesson. That $115 put costs $1,810 and contains ten dollars of actual opportunity. A seller collecting $1,810 of premium there is not collecting $1,810 of income — they are being handed $1,800 that they will have to give straight back if nothing changes, plus $10 for their trouble. The headline premium is almost entirely a loan.
Extrinsic value peaks at the money
Switch the widget above to the price axis and look at the shape of the extrinsic band. It is a hump, highest where the stock sits on the strike and falling away in both directions.
The reason is uncertainty. Deep in the money, everyone is fairly confident the contract finishes in the money — there is little left to be uncertain about, so little to charge for. Deep out of the money, everyone is fairly confident it expires worthless — again, little uncertainty. At the money, nobody knows, and that is exactly what time value is priced on.
This single shape explains a great deal of later material: why theta is largest at the money, why vega is too, and why at-the-money strikes pay the most premium per day while carrying the most assignment risk.
Only one half decays
Switch the axis to days remaining. Intrinsic value sits perfectly flat — it does not care about the calendar at all. Extrinsic value slides toward zero, slowly at first and then sharply in the final weeks.
At expiration, extrinsic value is exactly zero for every contract. There is no time left, so there is nothing left to pay for. Whatever the option is worth on that last afternoon is purely intrinsic. That guaranteed arrival at zero is the entire basis of the income strategies in this curriculum, and it is what the theta lesson takes apart day by day.
Reading a quote in practice
Given any quote, you can split it in your head in a couple of seconds. Work out the intrinsic value from the strike and the stock price — for an out-of-the-money option it is zero, done — and subtract. What remains is what is genuinely being traded.
Do this before every premium-selling decision and a category of mistake disappears: you stop being impressed by large premiums on deep in-the-money contracts, and you start noticing when a modest-looking out-of-the-money premium is actually generous relative to the risk.
What can go wrong
Comparing strikes by headline premium. A bigger premium usually means more intrinsic value, not more income. Compare extrinsic value instead.
Expecting a deep in-the-money short option to decay usefully. There is almost no extrinsic value left to decay. You are holding a stock-like position with a tiny yield attached.
Assuming extrinsic value decays evenly. It does not. Half of a 60-day option’s time value can still be there at 20 days, and then leave in a fortnight.
Key takeaways
- Every premium splits into intrinsic value (real today) and extrinsic value (a bet on the time remaining).
- Intrinsic value is pure arithmetic — how far in the money the contract is. Out-of-the-money options have none.
- Extrinsic value peaks at the money, where uncertainty about the outcome is greatest.
- Extrinsic value is always exactly zero at expiration. That certainty is what premium sellers are monetising.
- Sellers only ever earn the extrinsic half. Judging a strike by its headline premium hides that.
Check your understanding
1. A stock trades at $50. A $55 put is quoted at $6.20. How much is extrinsic?
2. Where is extrinsic value at its maximum?
3. What is the extrinsic value of any option the moment it expires?