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Gamma

Gamma describes the curvature of option value with respect to the underlying and helps explain why a delta hedge changes as the market moves. A position can be delta-neutral now but gain or lose from larger movements because of gamma. Under standard plain-option assumptions, long calls and puts have positive gamma and short positions the opposite sign. Near expiry and near the exercise price, gamma can be particularly significant. Managing it may require options as well as underlying assets, since holding the underlying alone provides delta but not option-like curvature.

Worked example

An option has delta 0.50 and gamma 0.04 per $1 move. For a small $1 increase in the underlying, its delta is approximately 0.54, other factors held constant. A hedge based on 0.50 is therefore no longer exactly neutral.

Common mistake

Assuming a zero net delta means there is no exposure to the size of subsequent underlying-price movements.

Where it appears in your exams

QualificationExamRelationshipPeriod
ACCA AFM Direct September 2026–June 2027