Theta Calculator: Understand Option Time Decay

Calculate Option Theta

Current price of the underlying stock or asset.
The price at which the option can be exercised.
Number of calendar days until the option expires.
%
Expected standard deviation of the underlying asset's returns (decimal, e.g., 0.20 for 20%).
%
Risk-free interest rate (decimal, e.g., 0.03 for 3%).
%
Annualized dividend yield of the underlying asset (decimal, e.g., 0.00 for 0%). Defaults to 0 if empty.
Select whether you are calculating for a Call or Put option.

Our Theta Calculator helps options traders understand time decay, a critical factor affecting option premiums. Easily determine how an option's value erodes as expiration approaches, enabling better trading decisions and strategy adjustments. Essential for managing risk and maximizing returns in options investing.

Formula:

Theta measures the time decay of an option's premium. It represents the estimated decrease in an option's value for every day that passes, assuming all other factors remain constant.

Conceptual Formula:

Option Premium Change per Day ≈ Theta Value

Where:

  • Theta (Θ): The change in an option's price (premium) for a one-day decrease in time to expiration (per day).
  • Option Premium Change: The amount an option's value is expected to erode daily due to time passing.

The precise calculation of Theta involves complex partial derivatives of the Black-Scholes model.

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