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Greeks

Local sensitivities that translate model parameters into hedge language.

Reviewed 2026-08-10TheQuantBateman Research2 linked labs
01Intuition

Name the object before manipulating it.

Greeks are slopes and curvatures: how the option changes for a small controlled move.

ONE-LINE DEFINITION

Local sensitivities that translate model parameters into hedge language.

02Mathematics

State the governing relationship.

Δ=∂SV,Γ=∂SS2V,ν=∂σV\Delta=\partial_S V, \quad \Gamma=\partial^2_{SS}V, \quad \nu=\partial_\sigma V
Notation and units

Decimal rates and volatilities, year-fraction time and continuous compounding unless stated otherwise.

03Assumptions

Draw the boundary of the claim.

01

Definitions, units and information sets are fixed before the mathematical relationship is applied.

02

Rates and volatilities use decimal units and time uses year fractions unless stated otherwise.

03

The relationship is local to its stated assumptions and should not be extrapolated mechanically.

“An unstated convention is a future reconciliation break.”— THEQUANTBATEMAN
04Market use

Connect the definition to an observable.

Hedge sizing, scenario interpretation and P&L attribution.

Intuition→Mathematics→Implementation→Desk risk
05Desk view
FRONT OFFICE VIEW

Translate the concept into a risk question.

State the convention, identify the observable and ask which EQ risk remains after the proposed hedge.

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06Related

Follow the nearest dependency.