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Miracle_ · 2022年10月16日

与讲义有冲突?

NO.PZ2020011303000053

问题如下:

A one-year project has a 3% chance of losing USD 10million, a 7% chance of losing USD 3 million, and a 90% chance of gaining USD 1 million. What are (a) the VaR and (b) the expected shortfall when the confidence level is 95% and the time horizon is one year?

解释:

VaR is USD 3 million. Expected shortfall (USD) is 10 × 0.6 + 3 × 0.4 = 7.2.

讲义308页说the ES gives tail losses an equal weight... 与此处答案的ES计算方法是否冲突?该如何理解?

1 个答案
已采纳答案

pzqa27 · 2022年10月17日

嗨,努力学习的PZer你好:


这个题的算法是对的,这里10m的发生可能性是3%,3m的发生可能性是7%,因此需要先计算出在5%的条件下的条件期望,分别是3%/5%=0.6,

(1-3%)/5%=0.4,然后再取平均即可,即ES=10*0.6+3*0.4=7.2.

讲义上的情况是在损失等可能发生的条件下写的,因此不算矛盾

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