How Does the Black-Scholes Model Incorporate Theta?

The Black-Scholes model, a theoretical options pricing model, includes a time variable (T) which represents the time to expiration. Theta is mathematically derived from the Black-Scholes formula as the partial derivative of the option price with respect to time.

The model shows that as T approaches zero, the option price approaches its intrinsic value, reflecting the effect of Theta decay.

How Is Implied Volatility Derived from the Black-Scholes Model?
What Is the Difference between Partial and Full Liquidation in Crypto Derivatives?
How Would This Formula Change for a Liquidity Pool Governed by a Constant Mean or Constant Sum Formula?
What Is the Formulaic Relationship between Vanna, Delta, and Vega?
What Is the Difference between ‘All-or-None’ and ‘Partial Fill’ in an RFQ System?
What Is ‘Implied Volatility’ and How Is It Derived from Market Data?
What Is “Implied Volatility” and How Is It Derived from the Black-Scholes Model?
How Does the Black-Scholes Model Mathematically Represent This Acceleration?

Glossar