Intrinsic Value of Options: Definition, Formula & How to Calculate It
Intrinsic Value Formulas
The max(…, 0) function is critical. If the calculation returns a negative number, intrinsic value is simply zero — you’d never exercise an option at a loss when you can just let it expire.
Intrinsic Value by Moneyness
Intrinsic value is directly tied to an option’s moneyness — the relationship between the stock price and the strike price.
| Moneyness | Intrinsic Value | Call Example (Strike $100) | Put Example (Strike $100) |
|---|---|---|---|
| In the money (ITM) | Positive | Stock at $112 → IV = $12 | Stock at $88 → IV = $12 |
| At the money (ATM) | Zero | Stock at $100 → IV = $0 | Stock at $100 → IV = $0 |
| Out of the money (OTM) | Zero | Stock at $93 → IV = $0 | Stock at $107 → IV = $0 |
Only in-the-money options have intrinsic value. ATM and OTM options have zero intrinsic value by definition.
Intrinsic Value vs. Time Value
An option’s total premium is the sum of two components:
| Component | What It Represents | Can It Be Zero? |
|---|---|---|
| Intrinsic value | The built-in profit from immediate exercise | Yes — for ATM and OTM options |
| Time value | The premium above intrinsic value, reflecting time remaining and implied volatility | Yes — at expiration for deep ITM options |
Worked Example
A call option on XYZ stock has a strike price of $150. XYZ currently trades at $163. The option is quoted at $18.
| Component | Calculation | Value |
|---|---|---|
| Intrinsic value | $163 − $150 | $13 |
| Time value | $18 − $13 | $5 |
| Total premium | $13 + $5 | $18 |
Of the $18 premium, $13 is intrinsic — the guaranteed exercise value — and $5 is time value that will erode as expiration approaches.
Why Intrinsic Value Matters
Intrinsic value sets the floor for an option’s price. An option can never trade below its intrinsic value in an efficient market because that would create a risk-free arbitrage opportunity. If a call with $10 of intrinsic value traded at $8, anyone could buy the call, exercise immediately, and pocket $2 with no risk.
This floor concept also explains why deep ITM options behave more like the underlying stock itself — most of their premium is intrinsic value, making delta approach 1.0 for calls (or −1.0 for puts).
Intrinsic Value and the Black-Scholes Model
The Black-Scholes model prices options by combining intrinsic value with a sophisticated estimate of time value. The model accounts for the stock price, strike price, time to expiration, implied volatility, and interest rates. But at expiration, all the model’s complexity collapses to a simple truth: the option is worth exactly its intrinsic value — nothing more.
For a broader look at how these components interact, see Options Pricing.
Key Takeaways
- Intrinsic value is the profit you’d capture by exercising an option immediately — it can never be negative.
- For calls: max(Stock Price − Strike, 0). For puts: max(Strike − Stock Price, 0).
- Only in-the-money options have intrinsic value. ATM and OTM options have zero.
- Option Premium = Intrinsic Value + Time Value. At expiration, time value is gone and only intrinsic value remains.
- Intrinsic value acts as the price floor for an option — it can’t trade below this level in an efficient market.
Frequently Asked Questions
Can intrinsic value be negative?
No. Intrinsic value is defined with a floor of zero. If the math produces a negative number (stock below strike for a call, or above strike for a put), intrinsic value is simply $0. You’d never exercise at a loss.
Does an out-of-the-money option have intrinsic value?
No. OTM options have zero intrinsic value. Their entire premium is time value, which reflects the possibility that the option could move into the money before expiration.
Is intrinsic value the same as the option’s profit?
Not exactly. Intrinsic value tells you the exercise value, but your actual profit also depends on what you paid for the option (the premium). If you bought a call with $8 of intrinsic value but paid $12 for it, you’re still down $4.
Why do deep in-the-money options have almost no time value?
Deep ITM options already behave like the underlying asset. There’s less uncertainty about the outcome, so the market assigns very little extra value for the “optionality.” As a result, nearly all of the premium is intrinsic value, and delta approaches ±1.0.
How is intrinsic value of an option different from intrinsic value of a stock?
For options, intrinsic value is a precise formula — the in-the-money amount. For stocks, intrinsic value is an estimate of the company’s true worth based on fundamentals like cash flows and earnings. They share a name but are completely different concepts.