Time Value of Options: Definition, Formula & What Drives It
The Time Value Formula
Since intrinsic value can never be negative, time value is simply whatever is “left over” after accounting for the in-the-money amount. For ATM and OTM options — which have zero intrinsic value — the entire premium is time value.
Worked Example
| Detail | Call A (ITM) | Call B (ATM) | Call C (OTM) |
|---|---|---|---|
| Stock price | $110 | $110 | $110 |
| Strike price | $100 | $110 | $120 |
| Premium | $14.50 | $6.80 | $2.30 |
| Intrinsic value | $10.00 | $0.00 | $0.00 |
| Time value | $4.50 | $6.80 | $2.30 |
Notice that the ATM option has the highest time value — not the ITM or OTM option. This is a consistent pattern across all options chains and is key to understanding how options are priced.
What Drives Time Value
Time value isn’t arbitrary. It’s determined by a handful of measurable factors:
| Factor | Effect on Time Value | Why |
|---|---|---|
| Time to expiration | More time → higher time value | More time means more opportunity for the stock to move favorably |
| Implied volatility | Higher IV → higher time value | Greater expected movement increases the probability of a favorable outcome |
| Moneyness | ATM options have the most time value | Maximum uncertainty about the outcome → maximum optionality premium |
| Interest rates | Minor positive effect on calls, negative on puts | Captured by rho; usually a small factor for short-dated options |
| Dividends | Reduce call time value, increase put time value | Expected dividends lower the forward price of the stock |
Time Decay: How Time Value Erodes
Time value doesn’t decline in a straight line. It follows a curve that accelerates as expiration approaches — a process measured by the Greek theta.
The key insight: an option loses roughly one-third of its time value in the first half of its life, and the remaining two-thirds in the second half. The decay gets steepest in the final 30 days, which is why short-term option sellers are essentially harvesting that accelerating decay.
Time Value Across Moneyness
Time value peaks at the ATM strike and falls off in both directions. Here’s the intuition:
| Moneyness | Time Value | Explanation |
|---|---|---|
| Deep ITM | Low | Outcome is nearly certain — the option behaves like the stock, so there’s little “optionality” to pay for |
| ATM | Highest | Maximum uncertainty about whether the option finishes ITM or OTM |
| Deep OTM | Low | Very unlikely to finish ITM — the market assigns minimal probability and therefore minimal time value |
Time Value vs. Intrinsic Value — Side by Side
| Feature | Intrinsic Value | Time Value |
|---|---|---|
| What it represents | Immediate exercise profit | Premium for future possibility |
| Can it be zero? | Yes (ATM and OTM options) | Yes (at expiration) |
| Affected by time? | No — only depends on current stock vs. strike | Yes — decays toward zero as expiration nears |
| Affected by volatility? | No | Yes — higher IV increases time value |
| Key Greek | Delta (sensitivity to stock price) | Theta (rate of decay) and Vega (volatility sensitivity) |
For more on how these components feed into option pricing models, see Options Pricing and Black-Scholes Model.
Key Takeaways
- Time value = Option Premium − Intrinsic Value. It’s the premium you pay for the chance the option improves before expiration.
- ATM options have the highest time value; deep ITM and deep OTM options have the least.
- Time value is driven by time to expiration, implied volatility, and moneyness.
- Time decay accelerates — options lose time value fastest in the final 30 days (measured by theta).
- At expiration, time value is zero. The option is worth exactly its intrinsic value — nothing more.
Frequently Asked Questions
Is time value the same as extrinsic value?
Yes. “Time value” and “extrinsic value” are used interchangeably. Both refer to the portion of the option premium beyond the intrinsic value. Some traders prefer “extrinsic value” because time isn’t the only factor — implied volatility plays a major role too.
Why do ATM options have the most time value?
Because the outcome is most uncertain. ATM options have roughly a 50/50 chance of finishing in or out of the money, so the “optionality” — the right to choose — is at its most valuable. Deep ITM and OTM options have more predictable outcomes, so there’s less to pay for.
Can time value increase?
Yes. Even though time is always ticking, a spike in implied volatility can increase an option’s time value enough to offset or even overwhelm the time decay. This often happens ahead of earnings reports, FDA decisions, or other binary events.
How does time value relate to theta?
Theta measures the rate at which time value decays per day. If theta is −$0.05, the option loses about $0.05 of time value each day, all else being equal. Theta is highest (most negative) for ATM options near expiration.
Do I lose time value if I sell before expiration?
When you sell to close a long option, you receive whatever time value remains in the market price. You only lose all time value if you hold to expiration. This is why most active traders close positions before expiration — to recover remaining time value rather than letting it decay to zero.