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Foundationspractitionermethod

Streaming Quotes and Staleness

Treat market data as a timed state, not a timeless number.

Reviewed 2026-08-10TheQuantBateman ResearchReading note
01Intuition

Define the numerical question and error budget.

A stream changes a quote over time. Heartbeats, reconnects and freshness thresholds tell the interface when to stop calling the last value current.

ONE-LINE DEFINITION

Treat market data as a timed state, not a timeless number.

02Mathematics

Specify the estimator or discretization.

age=tnow−tmarket,stale=1age>τage=t_{now}-t_{market}, \quad stale=\mathbf{1}_{age>\tau}
Notation and units

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

03Assumptions

Expose convergence and stability conditions.

01

The numerical target, discretization and stopping rule must be fixed before comparing outputs.

02

Convergence is assessed against bias, variance or residual tolerances rather than visual smoothness.

03

Finite precision, boundary treatment and input conditioning can dominate model error.

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

Connect controls to an observable output.

Prevents stale values from silently driving risk, calibration or user decisions.

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

Monitor bias, variance, and failure modes.

Report the Foundations number with its convergence evidence. A stable-looking output can still carry discretization bias or an ill-conditioned input.

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06Related

Choose the next implementation dependency.