Gamma
The rate at which delta changes as the underlying moves. The same for a call and a put, highest for at-the-money options near expiry; long options are long gamma and gain from large moves.
Where you will meet it
Gamma appears in 6 learning outcomes on the CFA syllabus. A few of them:
- Explain sensitivity and scenario risk measures and weigh them against VaR
“Sensitivity measures show how value changes for a small move in one risk factor: beta for equity markets, duration and convexity for interest rates, delta, gamma and vega for options.”
- Explain what each option Greek measures
“Gamma is the rate at which delta changes, the same for a call and a put and highest near the money close to expiry.”
- Show how options can be used to reach a chosen level of equity risk exposure
“Gamma matters because delta drifts as the price moves.”
- Show how exposure measures for equities, fixed income, and options can help gauge and control market risk and volatility risk
“For options, delta is the value change per unit move in the underlying, gamma the change in delta, and vega the value change per point of implied volatility, so ΔV ≈ delta × ΔS + ½ × gamma × (ΔS)² + vega × Δσ.”
See also
Practise it
Practise gamma until it is automatic: questions that explain every wrong option.
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