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fin.option-greeks-delta-gamma Calculator
Calculates all five primary option Greeks (delta, gamma, theta, vega, rho) from Black-Scholes for comprehensive options risk management. A complete Greeks dashboard is essential for running a delta-neutral book — you may be delta-hedged but still exposed to vega, gamma, or theta.
Inputs
S Price
Current price per share. Used in P/E ratios, options pricing, and market cap calculations.
K Strike
The price at which an option can be exercised. Call options profit when the market price exceeds the strike; put options profit when it falls below.
T Years
Duration of the process. Make sure units match the rate inputs (seconds, minutes, or hours).
R Pct
Return on a theoretically safe investment like a government T-bill. The baseline return everything else is compared against. Enter as a decimal (e.g. 0.05 for 5%).
Sigma Pct
Annualised standard deviation of returns, as a decimal (e.g. 0.2 for 20%). Higher volatility increases option value. Implied vol is derived from market prices.
Results
delta (∂C/∂S)
The change (final minus initial) in the quantity.
gamma (∂²C/∂S²)
Reference formula or conversion factor shown for context.
vega (∂C/∂σ per 1% vol)
Reference formula or conversion factor shown for context.
theta (∂C/∂t per day)
Reference formula or conversion factor shown for context.
Greeks summary
The arithmetic total of all input values.
vega interpretation
Qualitative summary of what the computed numbers mean in practical terms.