
Explanation:
VaR can be calculated as the worst observation, which is -14 and hence the VaR is 14.
The ES is the arithmetic average of losses that are worse than the VaR. Thus,
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Q.58 After using of the historical simulation method, you have been provided with the following 30 ordered percentage returns for an asset:
[-18, -16, -14, -12, -10, -9, -7, -6, -6, -5, -4, -4, -2, -1, 0, 0, 2, 3, 6, 12, 12, 13, 15, 15, 18, 28]
The value-at-risk (VaR) and expected shortfall (ES), at 90% confidence level, respectively, are closest to:
A
Var: 14; ES: 17
B
Var: 14; ES: 16
C
Var: 12; ES: 16
D
Var: 12; ES: 24
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