
Explanation:
The correct answer is C.
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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, ; and shape (aka, tail index), .
| 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, | 0.70 |
| Shape, aka, tail, | 0.25 |
Determine the VaR at the 99% confidence level.
A
0.02225
B
0.04125
C
0.05885
D
0.05151
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