CFA一级定量分析考题难度如何?坚持每天的练习对自己备考CFA考试是有帮助的,那今天和小编一起看看这道CFA定量分析考题!
Which type of distribution produces the lowest probability for a variable to exceed a specified extreme value X which is greater than the mean assuming the distributions all have the same mean and variance?
A.A leptokurtic distribution with a kurtosis of 4
B.A leptokurtic distribution with a kurtosis of 8
C.A normal distribution
D.A platykurtic distribution
正确的答案是什么呢?小编给你说说是Solution: D,那如何解析呢?为何是它呢?小编给你说说!
A is incorrect. A leptokurtic distribution has fatter tails than the normal distribution. The kurtosis indicates the level of fatness in the tails, the higher the kurtosis, the fatter the tails. Therefore, the probability of exceeding a specified extreme value will be higher.
B is incorrect. Since answer A. has a lower kurtosis, a distribution with a kurtosis of 8 will necessarily produce a larger probability in the tails.
C is incorrect. By definition, a normal distribution has thinner tails than a leptokurtic distribution and larger tails than a platykurtic distribution.
D is correct. By definition, a platykurtic distribution has thinner tails than both the normal distribution and any leptokurtic distribution. Therefore, for an extreme value X, the lowest probability of exceeding it will be found in the distribution with the thinner tails.