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SUN · 2019年11月23日

问一道题:NO.PZ2019103001000031

问题如下:

Doug Kepler, the newly hired chief financial officer for the City of Radford, asks the deputy financial manager, Hui Ng, to prepare an analysis of the current investment portfolio and the city’s current and future obligations. The city has multiple liabilities of different amounts and maturities relating to the pension fund, infrastructure repairs, and various other obligations.

Ng observes that the current fixed-income portfolio is structured to match the duration of each liability. Previously, this structure caused the city to access a line of credit for temporary mismatches resulting from changes in the term structure of interest rates

Kepler asks Ng for different strategies to manage the interest rate risk of the city’s fixed-income investment portfolio against one-time shifts in the yield curve. Ng considers two different strategies:

Strategy 1: Immunization of the single liabilities using zero-coupon bonds held to maturity

Strategy 2: Immunization of the single liabilities using coupon-bearing bonds while continuously matching duration.

Which duration measure should be matched when implementing Strategy 2?

选项:

A.

Key rate

B.

Modified

C.

Macaulay

解释:

C is correct.

An investor having an investment horizon equal to the bond’s Macaulay duration is effectively protected, or immunized, from the first change in interest rates, because price and coupon reinvestment effects offset for either higher or lower rates.

老师您好,麻烦问下。Immunization of the single liabilities是什么意思,如果是单个的负债,为什么是liabilities。

如果是多个负债的匹配,是不是要考虑key rate duration?做这道题的时候总感觉多个负债只用Mac.d 有问题,所以选了KRD

1 个答案
已采纳答案

发亮_品职助教 · 2019年11月24日

嗨,从没放弃的小努力你好:


如果是多个负债的匹配,是不是要考虑key rate duration?


不需要考虑,三级学的匹配策略,没有需要考虑Key rate duration的情况的。

多期负债的匹配条件,只有下面的情况:

1、MV of asset ≥ MV of liability

2、Asset BPV = Liability BPV

3、Asset Convexity > Liability Convexity,(在此基础上,Asset convexity越小,匹配效果就越好,就是更优的免疫组合)

有时,很多题目会直接省去第一个条件,直接找2、3条件满足即可。



Immunization of the single liabilities是什么意思,如果是单个的负债,为什么是liabilities。


是单期负债。

这道题的情况是这样,公司的负债是一个多期负债:

The city has multiple liabilities of different amounts and maturities 

然后他是把多期负债当成了多个单期负债的组合,然后逐一去匹配里面的单期负债(Each liability):

the current fixed-income portfolio is structured to match the duration of each liability.

这样匹配好了每一个单期负债,就相当于匹配好了一个多期负债;

所以才有题目说的the single liabilities,其实就是指多个单期负债。

这种做法就这道题里面有提,原版书正文部分并没有涉及,大概了解即可。其他情况多期负债匹配,就看上面的三个条件即可。


-------------------------------
努力的时光都是限量版,加油!


SUN · 2019年11月26日

理解了,谢谢

发亮_品职助教 · 2019年12月01日

客气客气

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NO.PZ2019103001000031问题如下ug Kepler, the newly hirechief financiofficer for the City of Raor asks the puty financimanager, Hui Ng, to prepare analysis of the current investment portfolio anthe city’s current anfuture obligations. The city hmultiple liabilities of fferent amounts anmaturities relating to the pension fun infrastructure repairs, anvarious other obligations.Ng observes ththe current fixeincome portfolio is structureto matthe ration of ealiability. Previously, this structure causethe city to access a line of cret for temporary mismatches resulting from changes in the term structure of interest ratesKepler asks Ng for fferent strategies to manage the interest rate risk of the city’s fixeincome investment portfolio against one-time shifts in the yielcurve. Ng consirs two fferent strategies:Strategy 1: Immunization of the single liabilities using zero-coupon bon helto maturityStrategy 2: Immunization of the single liabilities using coupon-bearing bon while continuously matching ration.Whiration measure shoulmatchewhen implementing Strategy 2?A.Key rateB.Mofie.MacaulayC is correct. investor having investment horizon equto the bons Macaulration is effectively protecte or immunize from the first change in interest rates, because priancoupon reinvestment effects offset for either higher or lower rates.是因为single liab吗?那如果Multiple liab呢?

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NO.PZ2019103001000031 能否下KEY RATE RATION不选的原因,谢谢!

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NO.PZ2019103001000031 MofieMacaul C is correct. investor having investment horizon equto the bons Macaulration is effectively protecte or immunize from the first change in interest rates, because priancoupon reinvestment effects offset for either higher or lower rates. immunization的2个条件,PVa=PVL,=,是为了hee pririsk和ri risk带来的价格变动的影响,所以不是应该用的mify ration吗?mofy ration一样,这也利率变动,asset和liab的price变动一样,这也也能继续match了。为什么是mration,平均还款期呢?

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NO.PZ2019103001000031 这道题我懂了,但是这两策略有什么区别呀

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NO.PZ2019103001000031 MofieMacaul C is correct. investor having investment horizon equto the bons Macaulration is effectively protecte or immunize from the first change in interest rates, because priancoupon reinvestment effects offset for either higher or lower rates. 如果前者匹配,后者不也一样匹配吗?毕竟就差个1/(1+y)

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