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世纪之龙5 · 2024年03月05日

题目想表达什么意思,不是很明白

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.

如题

1 个答案

pzqa27 · 2024年03月05日

嗨,从没放弃的小努力你好:


这个题说收益率曲线水平且不变,让我们解释下为什么cash flow mapping可以产生的diversified VaR会比duration mapping和principal mapping 产生的VaR要更低。

diversified VaR 比较小是由于两个原因,一是风险因子与maturity之间不是完美的线性关系(所以只用maturity不够,CF mapping更准确),二是风险因子之间的correlation<1,有分散化效果 题目里说 a flat yield curve and constant yield volatility of 1.0%,即收益率曲线水平,利率波动σ稳定,所以各个利率点上的VAR是一样的,那么原因一带来的差异就不明显,所以 diversified VaR 比较小主要就是由于原因二造成的


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