Explanation:

• Option A (Incorrect): Value at Risk (VaR) measures the minimum loss expected over a given time period at a certain confidence level. However, VaR does not provide an average of extreme losses, as it only indicates the threshold below which losses will not exceed with a given probability.

• Option B (Incorrect): The standard deviation of loss is a measure of dispersion around the mean loss. For distributions with fat tails, the standard deviation may not accurately capture extreme losses, making it unsuitable for estimating average extreme losses.

• Option C (Correct): Expected loss given default (ELGD) is analogous to Conditional VaR (CVaR) in the credit risk context. It estimates the average loss in scenarios where default occurs, answering the question: If the underlying asset defaults, what is the average loss? This makes ELGD the most appropriate metric for estimating average extreme losses in bonds.