FTB-C000178 / Formula component

Portfolio Volatility

Portfolio volatility is the standard deviation implied by portfolio weights and a declared return covariance matrix.

Also known asportfolio standard deviationportfolio risk

Definitions

In plain terms

It accounts for both individual asset variability and how assets move together.

Technical

For weight vector w and covariance matrix Sigma, volatility is the square root of w transpose Sigma w, with frequency and annualization stated.

Scope

Volatility measures dispersion, not every form of risk, loss, liquidity, or model uncertainty.

Formula

sigma_p = sqrt(w' * Sigma * w)
LaTeX: \sigma_p=\sqrt{w^\top\Sigma w}
SymbolMeaningUnit
wportfolio weight vectordecimal weights
Sigmareturn covariance matrixreturn squared

Output unit: return volatility

Examples

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

Common misconceptions

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

Concept relationships

Where this concept is used

Evidence and governance

  1. Portfolio Selection The Journal of Finance / Harry Markowitz · first party technical publication

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

    Limits: Later index constraints, covariance estimators, investability rules, and production optimization controls are separate 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
evidence reviewed

This record is evidence-reviewed and readable, but not yet promoted to published — it is served noindex,follow and excluded from the sitemap.