What Is Time Value in Options?
Time value, also called extrinsic value, is the portion of an option's premium that exceeds its intrinsic value. It represents the additional amount traders are willing to pay for the possibility that the option will become more valuable before expiration. Time value reflects the uncertainty about where the stock price will be at expiration, and it is influenced by time remaining, implied volatility, and interest rates.
Every option has time value until the moment of expiration. For out-of-the-money options, the entire premium is time value. For in-the-money options, time value is the premium minus the intrinsic value. At expiration, all time value vanishes and the option is worth only its intrinsic value (or zero if OTM). This inevitable erosion of time value is what makes options fundamentally different from stocks.
Time Value Formula
Time Value Decay Example
- 1Intrinsic value = max(0, $100 - $100) = $0
- 2Time value = $5.50 - $0 = $5.50 (100% extrinsic)
- 3At 30 DTE: Time value ≈ $5.50 × sqrt(30/45) = $5.50 × 0.8165 = $4.49
- 4At 14 DTE: Time value ≈ $5.50 × sqrt(14/45) = $5.50 × 0.5578 = $3.07
- 5At 7 DTE: Time value ≈ $5.50 × sqrt(7/45) = $5.50 × 0.3944 = $2.17
- 6At 1 DTE: Time value ≈ $5.50 × sqrt(1/45) = $5.50 × 0.1491 = $0.82
- 7Daily decay rate at 45 DTE: approximately $0.07/day
- 8Daily decay rate at 7 DTE: approximately $0.19/day
Time Value Decay Schedule
| DTE | Approx. Time Value | % Remaining | Daily Decay Rate |
|---|---|---|---|
| 45 | $5.50 | 100% | $0.07 |
| 30 | $4.49 | 82% | $0.09 |
| 21 | $3.76 | 68% | $0.11 |
| 14 | $3.07 | 56% | $0.13 |
| 7 | $2.17 | 39% | $0.19 |
| 3 | $1.42 | 26% | $0.30 |
| 1 | $0.82 | 15% | $0.55 |
| 0 | $0.00 | 0% | N/A |
Factors That Increase Time Value
- More time to expiration: The square root relationship means doubling time adds about 41% more time value
- Higher implied volatility: Greater expected price movement increases the probability of a profitable outcome
- At-the-money moneyness: ATM options have the maximum time value because uncertainty is greatest
- Higher stock price: All else equal, a $200 stock option has twice the time value of a $100 stock option in dollar terms
- Higher interest rates: Slightly increases call time value and slightly decreases put time value via Rho
Minimizing Time Value Cost
For option sellers, the 30-45 day window offers the best time decay acceleration without the extreme Gamma risk of final-week options. For buyers, entering at 60-90 DTE gives you a reasonable amount of time while paying relatively low daily Theta compared to shorter expirations.
Many new traders buy ATM weekly options because they are cheap in dollar terms, not realizing that the entire premium is time value that decays rapidly. A $1.00 weekly option loses about $0.15 per day. The stock must move significantly within a few days just to break even.