Greeks Calculator

    Select a Greek → Enter values → See live math

    Result

    0.536

    per contract

    Formula Steps

    1. Δ_call = N(d₁)
    2. N(d₁) = cumulative normal of d₁
    3. d₁ = [ln(S/K) + (r + σ²/2)T] / (σ√T)

    Powered by Black-Scholes model • Updated Jun 25, 2026, 7:04 a.m.

    Formula Symbols Explained

    S= Spot Price (current stock price)
    K= Strike Price of the option
    T= Time to expiration (in years)
    r= Risk-free interest rate (annual %)
    σ= Sigma, Implied Volatility (annual %)
    N(x)= Cumulative normal distribution function
    N'(x)= Normal probability density function
    d₁, d₂= Intermediate values in Black-Scholes
    e= Euler's number (≈ 2.71828)
    ln= Natural logarithm

    Key Insight:

    The d₁ and d₂ values are the core of Black-Scholes pricing. They represent standardized distances between the current stock price and strike price, adjusted for volatility and time.