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anyuna7 · 2020年12月13日

问一道题:NO.PZ2018122701000044

问题如下:

Under these assumptions - in particular: a flat yield curve and constant yield volatility of 1.0% - why can we expect cash flow mapping to produce a lower diversified VaR than either duration and principal mapping?

选项:

A.

The risk measures are non-linear.

B.

Due to imperfect correlations between pairwise risk factors.

C.

Fewer total cash flows will be mapped.

D.

We cannot expect a lower diversified VaR.

解释:

B is correct.

考点 Mapping to Fixed Income Portfolios

解析 The diversified VaR is lower due to two factors. First, risk measures are not perfectly linear with maturity. Second, correlations are below unity, which reduces risk even further.

题干中的a flat yield curve and constant yield volatility of 1.0%和答案有什么联系呢?谢谢

1 个答案

小刘_品职助教 · 2020年12月14日

同学你好,

题干中的这句话假设收益率曲线是水平的,和相同的yield volatility of 1.0%,意味着这条收益率曲线每个期限点的波动相关性程度很高(波动的数值不重要,重要的是这种波动性是constant的)。

如果使用principle mapping 或者duration mapping,考虑了1个风险因子,就没有考虑到多个现金流发生对应点之间的相关性,但是用CFmapping就可以充分运用这种不同期限上波动的相关性,考虑了更多的风险因子,因此计算出来的diversified VaR 更小。

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