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december · 2022年07月01日

能说下三种方法结果大小比较的思路吗

NO.PZ2018122701000047

问题如下:

A portfolio manager is mapping a fixed-income portfolio into exposures on selected risk factors. The manager is analyzing the comparable mechanics and risk measurement outputs of principal mapping, duration mapping, and cash-flow mapping that correspond to the average portfolio maturity. Which of the following is correct?

选项:

A.

Principal mapping considers coupon and principal payments, and the portfolio VaR using principal mapping is greater than the portfolio VaR using cash-flow mapping.

B.

Duration mapping does not consider intermediate cash flows and the portfolio VaR using duration mapping is less than the portfolio VaR using principal mapping.

C.

Cash-flow mapping considers the timing of the redemption cash flow payments only, and the portfolio VaR using cash flow mapping is less than the portfolio VaR using duration mapping.

D.

Cash-flow mapping considers the present values of cash flows grouped into maturity buckets, and the undiversified portfolio VaR using cash-flow mapping is greater than the portfolio VaR using principal mapping.

解释:

B is correct.

考点 Mapping to Fixed Income Portfolios

解析 With duration mapping, a portfolio is replaced by a zero-coupon bond with maturity equal to the duration of the portfolio. The risk of the hypothetical zeros is less than the risk of a coupon bond of comparable maturity. Therefore, the portfolio VaR using duration mapping is less than the portfolio VaR using principal mapping.

With principal mapping, one risk factor is chosen that corresponds to the average portfolio maturity. With duration mapping, one risk factor is chosen that corresponds to the portfolio duration. With cash flow mapping, the portfolio cash flows are grouped into maturity buckets and the undiversified portfolio VaR using cash-flow mapping is less than the portfolio VaR using principal mapping since principal mapping ignores the intervening coupon payments, thus overstating the true risk of the portfolio.

能简单说下三种结果大小比较分析的思路吗

2 个答案

李坏_品职助教 · 2023年03月01日

嗨,爱思考的PZer你好:


cf mapping 不一定比duration mapping算出来的结果更小。我搜了一下答疑记录,你说的是不是这两条:


这两条回答并没有说cf mapping一定小于duration mapping,第一个说的是cf mapping小于principal mapping。第二个说的是duration mapping小于principal mapping。

至于cf mapping和duration mapping谁大谁小,要看具体情况,不存在确定性的结论。



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李坏_品职助教 · 2022年07月01日

嗨,从没放弃的小努力你好:


  1. principal mapping:风险只和债券组合的本金的期限相关,所以这个方法计算的risk对应于债券组合的到期期限;
  2. Duration mapping:风险只决定于零息债券,这个零息债券的期限和债券组合的久期相等;这个方法计算的risk对应于债券组合的久期;
  3. Cash-flow mapping: 组合的风险被分解到债券的每一笔单独的现金流。这种方法下的现金流是分散开的,计算出来的risk低于principal mapping,因为principal mapping不考虑债券组合到期前的coupon,所有风险集中于本金。


总结一下:cash-flow mapping的var一定小于principal mapping, duration mapping也一定小于principal mapping(因为久期肯定小于期限),至于cash-flow mapping 和duration mapping谁大谁小,要分情况讨论。


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小猫批脸 · 2023年03月01日

有一个老师在另一个问题里回答的是 cf mapping 比duration mapping 计算更精细 所以小 那和您说的这个结论相比较怎么理解啊

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