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Asian Options

Options whose payoff depends on an average price.

Reviewed 2026-08-10TheQuantBateman ResearchReading note
01Intuition

Build the mental model first.

Averaging dampens the impact of one extreme fixing and better matches gradual physical exposure.

ONE-LINE DEFINITION

Options whose payoff depends on an average price.

02Mathematics

Now make it exact.

max(1niStiK,0)\max(\frac1n\sum_i S_{t_i}-K,0)
Notation and units

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

03Assumptions

Every model has a price.

01

Educational conventions are stated explicitly and may simplify market quotation or settlement details.

02

Rates are continuously compounded unless the section says otherwise.

03

Inputs are deterministic in the base model.

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

Why a quant cares.

Commodity procurement, production and revenue hedging.

IntuitionMathematicsImplementationDesk risk
05Desk view
FRONT OFFICE VIEW

The hedge has opinions.

Start with the quote convention, then ask which COMM risk survives the hedge. A number without its convention is merely well-dressed ambiguity.

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06Related

Continue through the graph.