FTB-C000179 / Formula component

Risk Contribution

Risk contribution allocates a portfolio risk measure among positions under a declared decomposition.

Also known ascomponent risk contribution

Definitions

In plain terms

For volatility, a position's contribution depends on both its weight and how it covaries with the whole portfolio.

Technical

Volatility contribution for asset i is weight i times its marginal covariance term divided by portfolio volatility; contributions sum to portfolio volatility when conditions hold.

Scope

Risk contribution can be negative and differs across variance, volatility, expected shortfall, and other risk measures.

Formula

RC_i = w_i * (Sigma*w)_i / sigma_p
LaTeX: RC_i=w_i(\Sigma w)_i/\sigma_p
SymbolMeaningUnit
w_iweight of asset idecimal weight
(Sigma*w)_imarginal covariance termreturn squared
sigma_pportfolio volatilityreturn volatility

Output unit: return volatility

Examples

  • A governed methodology records risk contribution with its source, cutoff, units, parameters, and effective version.

Common misconceptions

  • Risk Contribution does not have one universal implementation without the declared methodology, data basis, and constraints.

Concept relationships

Where this concept is used

Tutorials planned

These catalogued topics use this concept, but their complete build has not shipped yet.

  • D03-F03-A05 Prerequisite

Evidence and governance

  1. On the Properties of Equally-Weighted Risk Contributions Portfolios The Journal of Portfolio Management · first party technical publication

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

    Limits: Covariance estimation, constraints, convergence, turnover, and index-provider implementation remain governed choices.

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

    Supports: variant distinction

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

Reviewed by
fintech-builder-batch-004
Last reviewed
2026-07-27
Next review
2027-07-27
Record status
published
Written by

Fintech engineer building market-data and financial systems, and the author of every article, glossary record, and reference implementation on The Fintech Builder.