Option Valuation from zero
1/5Intrinsic value
The easy part. Intrinsic value is what the option is worth right now if you exercised it immediately.
For a call: max(S - K, 0). If spot is above the strike, you can buy at K and sell at S, pocketing the difference. If spot is below the strike, you would never exercise — intrinsic is zero.
For a put: max(K - S, 0). Same logic, reversed direction.
Drag the spot price below. The shaded green region is the intrinsic value — the amount you would capture if you exercised the call right now.
Notice: intrinsic value is never negative. Below the strike, it is zero — not negative. You have the right to exercise, not the obligation.
Extrinsic value
The interesting part. Extrinsic value is everything in the premium above intrinsic value. It is the price of possibility.
Extrinsic = Premium - Intrinsic
This is also called time value. You are paying for the chance that the future will be different from now. An OTM option has zero intrinsic value — its entire premium is extrinsic. You are betting on movement.
Move the spot slider and watch the stacked bars. The green bar is intrinsic. The blue bar is extrinsic. Together they make the total premium.
Deep ITM: mostly intrinsic. Deep OTM: pure extrinsic. ATM: the most extrinsic, because that is where uncertainty about finishing ITM or OTM is highest.
What drives extrinsic value
Two forces: time and volatility. More of either means more extrinsic value.
Time: More time until expiry means more chance for the underlying to move favorably. An option with 6 months left has more extrinsic than one with 1 week left.
Volatility: A wilder underlying means bigger potential moves. Higher implied volatility increases extrinsic value across all strikes.
Drag both sliders. Watch all three bars — ITM, ATM, OTM — react. Notice that ATM always has the most extrinsic, regardless of time or vol settings.
The moneyness spectrum
Deep ITM, ITM, ATM, OTM, Deep OTM. A single strip that shows how premium composition shifts across strikes.
This chart shows a call option with spot at $100. Each strike price has a different mix of intrinsic and extrinsic value. Drag the strike slider and watch the composition change.
Low strikes (deep ITM): the option is almost pure intrinsic — it behaves like owning the stock. High strikes (deep OTM): the option is pure extrinsic — it is a cheap lottery ticket on a big move.
The green area is intrinsic value. The blue gap between the premium line and the intrinsic line is extrinsic. Notice how the gap peaks near ATM.
Time decay in action
Extrinsic value does not decay linearly. It melts slowly at first, then accelerates near expiry. This is theta.
Hit Play and watch an ATM option lose its extrinsic value over one year. The curve is not a straight line — it is concave. The last few weeks destroy more value than the first few months.
This is why selling options near expiry (and buying them with plenty of time) is a core strategy. Theta works for the seller and against the buyer.
At expiry, extrinsic = 0. The option is worth exactly its intrinsic value, nothing more. This is settlement.
Where to go next:
Premium — the full premium reference
Greeks — theta, delta, and the other sensitivities
Black-Scholes — the model that prices it all