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Vanilla Greeks


A vanilla Greek is a first-order derivative of the option value with respect to some variable such as underlying’s price, volatility, interest rate, passage of time, etc. This means we assume that only one variable used to determine the value of an option is changed, and the remaining inputs to the option model are held constant.

Vanilla greeks include: deltavegarhotheta, and lambda. The following table summarizes the main vanilla greeks:

Variable/parameter Symbol Measures option’s sensitivity with respect to:
Delta Δ Change in underlying price
Vega ν Change in volatility
Rho ρ Change in interest rate
Theta θ Change in time to expiration
Lambda/omega λ / Ω Percentage change in underlying price

For example, rho measures the option’s sensitivity to the risk-free interest rate, and hence it is the derivative of the option value with respect to the risk-free interest rate for a corresponding maturity. Likewise, lambda (or omega) represents the percentage change in the option value relative to the percentage change in the underlying price.

Vanilla greeks are also known as first-order greeks.



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Derivatives have increasingly become very important tools in finance over the last three decades. Many different types of derivatives are now traded actively on ...
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