Distinguish an option’s price, payoff and profit before opening a model.
Learn Options and GreeksAdvanced5 min
Selected inputs; model assumptions matter
Plain English
The idea
An option is a contract. A call gives the holder the right, but not the obligation, to buy the underlying asset at the strike price. A put gives the holder the right, but not the obligation, to sell.
The price paid for that right is the premium. The premium is not only about where the share price is today. It also reflects the strike price, time to expiry, expected volatility, rates, dividends, and market supply and demand.
A useful first split is intrinsic value plus time value. Intrinsic value is the immediate in-the-money amount. Time value is the extra amount paid for what could still happen before expiry.
A call gives its holder the right, but not the obligation, to buy the underlying at the strike price under the contract's terms. A put gives the corresponding right to sell. The premium is the price paid for that right. Exercise style determines when the right can be used: European exercise is at expiry, while American exercise permits earlier exercise.
The holder's right is different from the writer's obligation. This article explains the value of the contract before considering any particular trading strategy.
Worked Example
Splitting premium into intrinsic value and time value
Suppose a call option has a 50 pound strike price. The share trades at 54 pounds. The option premium is 6 pounds.
The intrinsic value is 4 pounds because the right to buy at 50 has immediate value when the share is at 54. The remaining 2 pounds is time value.
If the same call had a 2 pound premium while the share traded at 49 pounds, its intrinsic value would be zero. The premium would be time value because the useful payoff has not happened yet.
The hypothetical call uses a £54 underlying price, a £50 strike and a £6 premium per underlying unit. Its immediate-exercise amount is £4, so the remaining £2 of premium is described as time value in this example. These are illustrative inputs, not a market quote.
If the underlying is £54 at expiry, the payoff is £4 per unit. A holder who paid £6 has a £2 loss before costs. Payoff and profit differ because the premium was paid to acquire the right. The amount described by a chart must make that distinction clear.
Formula
Call intrinsic value equals the maximum of current underlying price minus strike price, or zero.
Intrinsic value of the call option.
Current price of the underlying asset.
Strike price in the option contract.
Take the larger value: the positive in-the-money amount or zero.
This formula covers intrinsic value for a call. It is not the full option premium.
Share price
54 pounds
Strike price
50 pounds
Premium
6 pounds
Intrinsic value
4 pounds
Time value
2 pounds
Reading the result
Why optionality can have a price
The holder can decline to exercise when the payoff is unfavourable, while retaining the benefit of a favourable expiry outcome. This asymmetric payoff helps explain why uncertainty can matter to value. It does not mean that buying an option has a positive expected profit or that the premium is fair.
For the hypothetical £50-strike call bought for £6, the expiry break-even price is £56 before fees: the £6 payoff then matches the premium. Before expiry, the option can have a sale value that reflects time and other inputs, so this expiry calculation is not a rule for its price at every earlier moment.
Limits and assumptions
Model value and a traded contract
A pricing model connects specified assumptions to a theoretical value. The optional Greeks derivations use a European option with no dividends, constant volatility and a continuously compounded rate, without jumps or trading frictions. Real contracts can have dividends, early exercise, settlement rules and liquidity costs that require different treatment.
The £2 residual in this example is useful intuition, not a universal statement that every European option's price must exceed an immediate-exercise amount. Exercise restrictions and financing can matter. A contract multiplier converts per-unit amounts into contract amounts and must be read from the contract; no universal multiplier is assumed here.
Common Mistake
Calling a low premium cheap
A low option premium does not automatically mean the option is cheap. It may be low because the chance of a useful payoff is small, expiry is near, volatility is low, or the strike is far away.
Models such as Black-Scholes help connect assumptions to a theoretical value. They do not remove risk, and they do not make volatility, rates, dividends, or price-path assumptions true.
A low premium can buy a right that is unlikely to have much value at expiry. Comparing premiums without strike, expiry, contract size and exercise terms leaves out the reasons they differ.
Self-check
Check your understanding
Why is a £4 expiry payoff a loss for the hypothetical buyer?
The buyer paid a £6 premium. A £4 payoff leaves a £2 loss per unit before fees, demonstrating the distinction between payoff and profit.
What is the example’s expiry break-even underlying price?
£56: the £50 strike plus the £6 premium, before costs. This is an expiry calculation, not a forecast or a formula for the option’s earlier market price.
Why can a theoretical model value differ from a quoted premium?
Actual contracts and markets can differ from the model’s assumptions, including dividends, exercise rights, liquidity and transaction costs. A model output is not an executable quote.
General learning context
Where this helps a public investor
This article is not a trading guide. It helps readers recognise what an option price is trying to compensate for: payoff shape, time, uncertainty, and obligation asymmetry.
Disclaimer
Educational Use Only
This article is for informational and educational purposes only. Options involve risk and are not suitable for every investor. Nothing here is a recommendation to buy, sell, write, or trade an option.
