NO.PZ2020033001000002
问题如下:
Assuming that Company A's profit and loss satisfy a normal distribution, its annual average value is $30 million and its standard deviation is $10 million. Which of the following statements about the calculation and interpretation of the 95% VaR value is correct?
选项:
A.5% probability that the company will lose at least $13.5 million.
B.5% probability that the company will earn at least $13.5 million.
C.95% probability that the company will lose at least $13.5 million.
D.95% probability that the company will earn at least $13.5 million.
解释:
D is correct.
考点:Parametric Estimation Approaches
解析:95%的VaR=30-1.65*10=13.5m
这道题的计算结果非常特殊,VaR值计算结果为正,无需取绝对值,也就是说有95%的概率盈利至少为13.5million。
那如果VAR是负就代表5%的概率损失超过数值,如果是正的就是95%的概率收益超过数值。应用到本题,不应该是5%的概率,损失超过13.55么?请问哪里理解不正确?