Q.4006 Dyer and Blair Investment bank has an active position in commodity futures and is using the peaks-over-threshold (POT) approach (EVT) to estimate value at risk (VaR) and expected shortfall (ES) in accordance with extreme value theory. After careful consideration, the firm's risk managers have settled on a threshold level of 5.00% to evaluate excess losses. This choice of the threshold is informed by the realization that 3.0% of the observations are in excess of this threshold value. As displayed below, empirical analysis suggests the two other distributional parameters: scale, $\beta = 0.70$; and shape (aka, tail index), $\xi = 0.25$. | Parameter | Value | | --- | --- | | Loss threshold, u | 5.00% | | No. of observations, N | 700 | | No. of observations that exceed threshold, N(u) | 21 | | N(u)/N | 3.00% | | Scale, $\beta$ | 0.70 | | Shape, aka, tail, $\xi$ | 0.25 | Determine the VaR at the 99% confidence level. | Financial Risk Manager Part 2 Quiz - LeetQuiz