PortfolioMetrics
Risk Metrics
Risk of Loss Metrics

Value at Risk

Definition

The Value at Risk (VaR) quantifies the maximum potential loss of a portfolio at a specified confidence level. This VaR value is computed using the Variance-Covariance method at 95% confidence level. Other possible methods are historical method and the Monte Carlo method.

Formula

VaR=μp+zσp\text{VaR} = -\mu_p + z \cdot \sigma_p

where μp\mu_p is the expected portfolio return, σp\sigma_p is the portfolio standard deviation, and zz is the z-score corresponding to the desired confidence level.

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