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Value at Risk

risk management
Definition
A statistical measure estimating the maximum expected loss over a specified time period at a given confidence level.

Explanation

VaR answers: 'What is the worst I can expect to lose over a given period, with a given probability?' A 95% daily VaR of $50,000 means: on 95 out of 100 days, losses should not exceed $50,000. VaR is the standard risk metric in banking (required by Basel III) and institutional asset management. Three methods: historical simulation (replay past returns), parametric (assume normal distribution), and Monte Carlo (generate random scenarios). VaR's main weakness: it says nothing about how bad losses could be beyond the confidence level (for this, use Expected Shortfall/CVaR).

Formula

VaR₉₅ = μ - 1.645 × σ

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