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^(* ̄(oo) ̄)^进击ing🍬🍬 · 2022年08月11日

请问如何理解解析中的“The risk of the hypothetical zeros is less than the risk of a coupon bond of comparable maturity”

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.

对于duration mapping

1 个答案

DD仔_品职助教 · 2022年08月12日

嗨,努力学习的PZer你好:


这句话的含义是:

我们假设0息债券的风险会小于附息债券,那么我们在做duration mapping的时候就是把附息债券拆成不同期限的0息债券来做映射,用低风险零息债来拼接成为一个高风险的附息债券,那么就会导致映射出来的VAR会小于附息债券原本的VAR。

----------------------------------------------
虽然现在很辛苦,但努力过的感觉真的很好,加油!

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