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Floors

Protect minimum floating-rate receipts through floorlets.

Reviewed 2026-08-10TheQuantBateman ResearchReading note
01Intuition

Build the mental model first.

Floors becomes useful once its observable quote, state variables and governing convention are kept separate. Build the mental model before selecting the numerical method.

ONE-LINE DEFINITION

Protect minimum floating-rate receipts through floorlets.

02Mathematics

Now make it exact.

Value=M(state,parameters,conventions)\operatorname{Value}=\mathcal{M}(\text{state},\text{parameters},\text{conventions})
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.

Floors appears in pricing, scenario analysis, risk aggregation or hedge design. Production use requires explicit units, calendars, interpolation and data lineage.

IntuitionMathematicsImplementationDesk risk
05Desk view
FRONT OFFICE VIEW

The hedge has opinions.

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

Ask Bateman about this model
06Related

Continue through the graph.