TQBTHEQUANTBATEMAN
TQB/ learn/ frontier/ rough volatilityEN · DARK
Frontierresearchresearch

Rough Volatility

Very low regularity volatility models aligned with observed short-scale behaviour.

Reviewed 2026-08-10TheQuantBateman ResearchReading note
01Intuition

Build the mental model first.

Volatility appears rougher than classical diffusions suggest, especially at short horizons.

ONE-LINE DEFINITION

Very low regularity volatility models aligned with observed short-scale behaviour.

02Mathematics

Now make it exact.

H<12 in fractional-volatility driversH<\tfrac12 \text{ in fractional-volatility drivers}
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.

Active research with growing calibration relevance; implementation and hedging remain specialised.

IntuitionMathematicsImplementationDesk risk
05Desk view
FRONT OFFICE VIEW

The hedge has opinions.

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

Ask Bateman about this model
06Related

Continue through the graph.