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陶朱 · 2024年05月03日

这里的Unexpected loss等于Var等于X—X的平均是怎么来的

NO.PZ2023091701000163

问题如下:

Company A uses a Pareto distribution to model the loss severity of its low-frequency, high-severity operational risk events. A Pareto distribution has the following properties, given parameter Xm and k:

Mean:, for k1

Variance:, for k2

Cumulative distribution function:

After fitting the distribution to historical loss data, the parameters are estimated as k = 2.4, Xm = 10,000. What is the unexpected loss of a low-frequency, high severity operational risk event at 99% confidence level?

选项:

A.40703

B.23560

C.50986

D.68129

解释:

The first step, we must get the E(X). So k = 2.4, Xm = 10,000, Mean = 17143;

The second step, we must get the X. So,

The third step, Unexpected Loss = VaR = X – E(X) = 50,986.

如题111111111111

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已采纳答案

品职答疑小助手雍 · 2024年05月04日

同学你好,这是unexpected loss的定义,某分位点(本题为99%)到EL的距离。