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University
101 · Foundations

Every Premium Is Two Numbers Stacked Together

Split any premium into its two halves and watch which one disappears as expiration approaches.

Beginner9 min readUpdated

Worth reading first: Moneyness: Where the Stock Sits Relative to Your Strike

Course catalogue99 lessons

Every option premium is really two numbers under one price tag. One of them is real today and will still be real at expiration. The other is a bet on what happens in between, and on the last day it is worth nothing.

Getting into the habit of splitting them is one of the most useful things you can do. It turns “the premium is $4.20” into “$3.00 of that is already mine and $1.20 is what I am trading”, which is a much more useful sentence.

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.

Show value across
$100.00
45 days
30%
  • Intrinsic. Survives to expiration
  • Extrinsic. Decays to zero
Premium at $97$5.50
Intrinsic half$3.00value if the stock froze
Extrinsic half$2.50what a seller is really collecting
Theoretical values from a Black-Scholes model on a hypothetical non-dividend stock at 4% interest. Real quotes include a bid-ask spread; the model does not.

The two halves

Premium = intrinsic value + extrinsic value

Extrinsic value is whatever is left over. In a rational market it is never negative.

Intrinsic value is what the contract would be worth if the stock stopped moving now and stayed put until expiration. It is arithmetic: how far in the money the contract is, and nothing else. An out-of-the-money option has none.

Extrinsic value, also called time value, is everything above that. It is what the market charges for the chance that the stock goes somewhere useful before the contract dies. It depends on how long is left, how volatile the stock is expected to be, and how close the strike is to the money.

StrikePremiumIntrinsicExtrinsicWhat 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 one that teaches something. That $115 put costs $1,810 and holds ten dollars of actual opportunity. A seller taking in $1,810 there is not collecting $1,810 of income. They are holding $1,800 they will hand straight back if nothing changes, plus $10 for the trouble.

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, tallest where the stock sits on the strike and falling away on both sides.

The reason is uncertainty. Deep in the money, everyone is fairly sure the contract finishes in the money, so there is not much to charge for. Deep out of the money, everyone is fairly sure it expires worthless. At the money, nobody knows, and uncertainty is what time value is priced on.

That one shape explains a lot of what comes later: 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 stays flat, because it does not care about the calendar. Extrinsic value slides toward zero, slowly at first, then sharply in the last few weeks.

At expiration, extrinsic value is zero for every contract. There is no time left, so there is nothing left to pay for. Whatever the option is worth on the final afternoon is all intrinsic. That guaranteed arrival at zero is what the income strategies here are built on, and the theta lesson takes it apart day by day.

Reading a quote in practice

You can split any quote 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), then subtract. What is left is what is actually being traded.

Do this before every premium-selling decision and a whole class of mistake goes away. You stop being impressed by big premiums on deep in-the-money contracts, and you start noticing when a small-looking out-of-the-money premium is generous for 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 barely any extrinsic value left to decay. You are holding something close to a stock position with a small yield attached.

Assuming time value decays evenly. It does not. Half of a 60-day option’s time value can still be there at 20 days, and then disappear in a fortnight.

Key takeaways

  1. Every premium splits into intrinsic value, which is real today, and extrinsic value, which is a bet on the time left.
  2. Intrinsic value is arithmetic: how far in the money the contract is. Out-of-the-money options have none.
  3. Extrinsic value peaks at the money, where the outcome is least certain.
  4. Extrinsic value is always zero at expiration. That certainty is what premium sellers are selling.
  5. Time decay eats extrinsic value, and a favourable move in the stock can turn intrinsic value into profit too.

Check your understanding

  1. 1. A stock trades at $50. A $55 put is quoted at $6.20. How much is extrinsic?

  2. 2. Where is extrinsic value at its maximum?

  3. 3. What is the extrinsic value of any option the moment it expires?