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Value at risk

Value at risk (VaR) is a measure of the risk of loss of investment/capital.

Version
v1 · 2026-09-28 · History
Domain-specific #
12752
Domain group
Social Sciences
Origin domain
Economics & Finance
Subdomain
Financial Risk Management → Economics & Finance

Core Idea

Value at risk is treated here as the recurring mathematicslogicstatistics identity summarized by this source-grounded definition: Value at risk (VaR) is a measure of the risk of loss of investment/capital. Value at risk (VaR) is a measure of the risk of loss of investment/capital. It estimates how much a set of investments might lose (with a given probability), given normal market conditions, in a set time period such as a day. VaR is typically used by firms and regulators in the financial industry to gauge the amount of assets needed to cover possible.

Scope of Application

  • Backtesting. (2014). and Pajhede (2017) As pointed out in several of the papers, the asymptotic distribution is often poor when considering high levels of coverage, e.g. a 99% VaR, therefore the.

  • Documented setting. VaR is sometimes used in non-financial applications as well.

  • Details. Common parameters for VaR are tail probabilities of 1% and 5% and horizons of one day and two weeks, although other combinations are used.

  • Details. Therefore, the end-of-period definition is the most common both in theory and practice today.

  • Computation methods. A 2011 survey of 18 financial institutions by McKinsey & Company and Solum Financial Partners reported that 75% used historical simulation, 10% used hybrid approaches, and 15% used Monte Carlo as their.

Clarity

A clear use of Value at risk names the carrier, the operative relation, and the conditions under which the source treats the identity as present. The minimal definition is Value at risk (VaR) is a measure of the risk of loss of investment/capital. The strongest recognition evidence in the frozen account is: The system is run periodically (usually daily) and the published number is compared to the computed price.

Manages Complexity

Value at risk compresses multiple mathematicslogicstatistics details into a stable diagnostic relation. The source shows both the central mechanism—for a fixed p, the p VaR does not assess the magnitude of loss when a VaR breach occurs and therefore is considered by some to be a questionable metric for risk management.—and the practical consequence—this claim is validated by a backtest, a comparison of published VaRs to actual.

Abstract Reasoning

  1. Type the carrier. Identify the mathematicslogicstatistics entities to which the claim applies.
  2. State the relation. Use the source-grounded identity: Value at risk (VaR) is a measure of the risk of loss of investment/capital.
  3. Check operation and conditions. A 2011 survey of 18 financial institutions by McKinsey & Company and Solum Financial Partners reported that 75% used historical simulation, 10% used hybrid approaches, and 15% used Monte Carlo as their principal simulation approach.
  4. Demand recognition evidence.

Knowledge Transfer

Within the home domain. Knowledge about Value at risk transfers literally when a new case preserves the same carrier type, relation, and recognition test. (2014). and Pajhede (2017) As pointed out in several of the papers, the asymptotic distribution is often poor when considering high levels of coverage, e.g. a 99% VaR, therefore the parametric bootstrap method of Dufour (2006) is often used to obtain correct size properties for the tests. VaR is sometimes used in non-financial applications as well. Beyond the home domain. No canonical parent is asserted for Value at risk.

Relationships to Other Abstractions

Local relationship map for Value at riskParents appear above the current abstraction, mutual partners to the right, and children below. Node labels state whether each abstraction is prime or domain-specific; colors identify relation types.Value at riskDOMAINDomain-specific abstraction: Quantile — is a kind ofQuantileDOMAIN

Current abstraction Value at risk Domain-specific

Parents (1) — more general patterns this builds on

  • Value at risk is a kind of Quantile Domain-specific

    VaR at confidence level alpha is defined as the alpha-quantile of the portfolio loss distribution.

Hierarchy paths (3) — routes to 3 parentless roots

Neighborhood in Abstraction Space

Value at risk sits in a crowded region of the domain-specific corpus (34th percentile for distinctiveness): several abstractions share nearly its structure, so a description that fits it tends to fit its neighbors too.

Family — Financial Ratios & Instruments (20 abstractions)

Nearest neighbors

Computed from structural-signature embeddings · 2026-10-08