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5318金融与交易中等数值题short

Tail Hedge Impact On Historical ES

题目

A desk's historical dollar-loss sample in millions is [0.4, 1.1, 1.9, 2.7, 3.2, 3.9, 4.8, 6.3]. It buys a hedge that pays 1.5 million only on days when the unhedged loss exceeds 5.0. Using the hedged loss sample and historical VaR/ES at alpha=0.75 with the ceil(alpha*n) convention, what are VaR and ES?

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VaR

ES