Conditional Value at Risk (CVaR), also known as Expected Shortfall, is a risk assessment measure that evaluates the average losses that occur beyond a specified Value at Risk (VaR) threshold. While VaR only provides the maximum loss expected at a given confidence level, CVaR offers a deeper understanding of risk by focusing on the tail end of the loss distribution. For instance, if a portfolio has a 95% VaR of $1 million, it implies that under normal circumstances, losses will not exceed this amount 95% of the time. However, CVaR would calculate the average loss of the worst 5% of cases, thus providing a clearer picture of potential extreme losses.
To illustrate, assume a portfolio experiences losses of $1.5 million in extreme market conditions. If the average of the worst 5% of these scenarios results in a loss of $2 million, then the CVaR at the 95% confidence level would be $2 million. This metric is particularly useful for institutional investors and risk managers who aim to understand and mitigate tail risks. Related concepts include Value at Risk (VaR), tail risk, and risk-adjusted return measures like the Sharpe ratio.