FTB-C000106 / Formula component

Log Return

Log return is the natural logarithm of the ratio between ending and starting positive values.

Also known ascontinuously compounded returnlogarithmic return

Definitions

In plain terms

Log returns add across consecutive periods, which is useful in statistical work, but they are not the same numerical quantity as simple returns.

Technical

For positive comparable values, log return is ln of ending value divided by starting value; converting back requires exponentiation.

Scope

It is undefined for non-positive values and should not be presented as an ordinary percentage change without conversion.

Formula

g = ln(V1 / V0)
LaTeX: g=\ln(V_1/V_0)
SymbolMeaningUnit
V0starting positive comparable valuevalue unit
V1ending positive comparable valuevalue unit

Output unit: log return

Examples

  • A governed calculation records log return with its exact basis, effective time, source, and units.

Common misconceptions

  • Log Return does not have one universal treatment without the applicable methodology, event terms, and data context.

Concept relationships

Prerequisites

Contrasts with

Where this concept is used

Evidence and governance

  1. Fintech Builder Glossary Definition Contract The Fintech Builder · internal governed contract

    Supports: preferred label, short definition, technical definition, formula

    Limits: Defines governed platform behavior rather than claiming these policies are universally prescribed by external McClellan methodology.

Reviewed by
fintech-builder-owner-approved
Last reviewed
2026-07-27
Next review
2027-07-27
Record status
published