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台风来了 · 2023年08月06日

one-day loss

NO.PZ2023040601000023

问题如下:

The Index Plus Fund has a one-day 95% value at risk (VaR) of $6.5 million. Which of the following statements regarding the VaR of the Index Plus Fund is correct?

选项:

A.

The expected maximum loss for the portfolio is $6.5 million.

B.

Five percent of the time, the portfolio can be expected to experience a loss of at least $6.5 million.

C.

Ninety-five percent of the time, the portfolio can be expected to experience a one-day loss of no more than $6.5 million.

解释:

VaR measures the frequency of losses of a given minimum magnitude. Here the VaR indicates that on 5% of trading days, the portfolio will experience a loss of at least $6.5 million. (Although C may appear to say the same thing as B, it actually implies that the portfolio will experience a loss on 95% of trading days.) The correct interpretation is that returns will be equal to or greater than -$6.5 million on 95% of trading days; those returns include gains as well as losses.

B选项没有强调单日损失,明显说法有问题啊。C选项强调了单日的损失,我始终觉得C是对的。麻烦老师解释一下,谢谢!

1 个答案

星星_品职助教 · 2023年08月10日

同学你好,

C选项的说法意味着这个fund在95%的时间都是loss,这种说法意味着几乎都是亏损没有gain,显然是不对的。Fund的分布从0开始右侧的所有部分都是gain的情况,但如果如C选项一般描述,会导致不会有人去买这只本来是正常运营的基金

即B选项说法有一些瑕疵。但C选项是有重大错误的。