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。
老师讲的时候,VAR=-mean+1.645(分为点)*σ。
但是做题的时候,VAR又等于mean-1.645(分为点)*σ
var到底怎么算?