發布時間:2020-03-25 09:12編輯:融躍教育FRM
備考FRM的考生應該清楚在考試中有大量的計算題,考生一定要多做練習,尤其中近幾年的FRM真題。只有做的多了,才能在考試中不怯場。那么,FRM真題的練習在FRM考試中重要嗎?
FRM真題的練習在考試中當然是很重要的,考生千萬不能忽視。下面是例題的解析,隨小編看看:
Let X be a random variable representing the daily loss of your portfolio. The“peaks over threshold” (POT) approach considers a threshold value, u, of X and the distribution of excess losses over this threshold. Which of the following statements about this application of extreme value theory is correct?
A) To apply the POT approach, the distribution of X must be elliptical and known.
B) If X is normally distributed, the distribution of excess losses requires the estimation of only one parameter, β, which is a positive scale parameter.
C) To apply the POT approach, one must choose a threshold, u, which is high enough that the number of observations in excess of u is zero.
D) As the threshold, u, increases, the distribution of excess losses over u converges to a generalized Pareto distribution.
解析:The distribution of excess losses over u converges to a generalized Pareto distribution as the threshold value u increases. The distribution of X itself can be any of the commonly used distributions: normal, lognormal, t, etc., and will usually be unknown.
The distribution of excess losses requires the estimation of two parameters, a positive scale parameterβand a shape or tail index parameterξ. One must choose a threshold u that is high enough so that the theory applies but also low enough so that there are observations in excess of u.
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