Intrinsic Value

The intrinsic value of an option is the profit that would be realized if the option were exercised immediately. For a call option, intrinsic value is max(stock price − strike price, 0). For a put option, it is max(strike price − stock price, 0). Intrinsic value represents the in-the-money amount and is the floor below which an option’s market price cannot fall (excluding transaction costs).

How intrinsic value works

If you own a call option struck at $100 and the stock is currently at $110, the option has $10 of intrinsic value. You could immediately exercise, buy shares at $100, and sell them for $110, netting $10 per share (before commissions).

If the stock falls to $90, the call’s intrinsic value drops to zero. You would not exercise (why buy at $100 when you can buy at $90 in the market?). The call might still be worth something if there is time to expiration, but that value is time value, not intrinsic.

For a put option struck at $100 with the stock at $85, the intrinsic value is $15. You could immediately exercise, sell shares at $100, and buy them back at $85, netting $15 per share. If the stock rises to $105, the put’s intrinsic value is zero.

Intrinsic value never goes negative

By definition, intrinsic value is the maximum of the exercise profit and zero. It can never be negative. A call can never have negative intrinsic value; it bottoms at zero when out-of-the-money. This is why options are sometimes called “limited downside” investments—the option holder can simply walk away if the intrinsic value is zero and let the option expire worthless.

The relationship to total option value

An option’s market price is always at least its intrinsic value (ignoring transaction costs). An option cannot trade below intrinsic value because any rational trader would exercise immediately and capture the intrinsic value.

Total option value breaks into two pieces:

Option price = Intrinsic value + Time value

For an in-the-money call with $10 intrinsic value trading at $12, the $2 difference is time value. That $2 reflects the remaining chance that the option will be even more profitable by expiration.

For an at-the-money or out-of-the-money option, intrinsic value is zero, so the entire option value is time value.

Intrinsic value and early exercise

For american-option options, early exercise is optimal if the option is very deep in-the-money and there is little time value left. An American call struck at $100 with the stock at $150 and only 1 day to expiration has $50 of intrinsic value and almost no time value. Exercising captures the $50; holding risks the stock falling $1 overnight and wiping out a dollar of gain.

For european-option options, early exercise is not permitted, so you must hold and hope to sell for the in-the-money intrinsic value plus any remaining time value.

Intrinsic value vs. market price: opportunities and risks

If an option is trading below its intrinsic value, it is a mispricing. For example, if a call with $10 intrinsic value trades at $8, you can buy it, immediately exercise, and pocket $2 (minus commissions). This arbitrage opportunity is rare in liquid markets but can appear in illiquid or exotic options.

If an option trades significantly above intrinsic value in the days before expiration, the time value is about to evaporate. An in-the-money option that falls out-of-the-money on expiration day sees its value drop from intrinsic to zero.

Intrinsic value and the Greeks

Intrinsic value does not change with volatility, interest rates, or theta. It changes only when the stock price moves. This is why an option’s vega and theta apply only to the time value component, not the intrinsic value.

For a deep in-the-money option, the delta is close to 1.0, meaning the option moves nearly dollar-for-dollar with the stock. The intrinsic value captures most of that movement; the time value is small.

Deep in-the-money vs. shallow

A call struck at $100 with the stock at $150 (50% ITM) has $50 intrinsic value and very little time value. The option is almost a perfect substitute for owning the stock itself.

A call struck at $100 with the stock at $105 (5% ITM) has $5 intrinsic value but also meaningful time value, because the stock could easily fall below $100 by expiration.

See also