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shirley_hd · 2019年11月28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.

one time shift就是指平行移动吗?

2 个答案
已采纳答案

发亮_品职助教 · 2019年12月01日

Strategy 2说的是用付息债券来匹配单期负债。在匹配单期负债时,Match的是Macaulay duration。


这点前面也提到过,让资产的Macaulay duration等于资产的投资期,就能让债券资产的Price risk和Reinvestment risk相互抵消,此时利率的变动,债券的投资收益不会受到影响;债券的收益就是确定性收益。

然后用这样的债券去匹配单期负债是靠谱的匹配策略。而资产的投资期就是负债的期限,因为我们投资资产就是为了偿还负债。所以匹配的条件进一步为:

资产的Macaulay duration = 资产的投资期 = 单期负债的期限 = 单期负债的Macaulay duration

Strategy 2说的continuously matching duration,就是匹配的Macaulay duration。



“为何答案选c呢 如果是非平行移动 key rate duration不是也可以吗?”


我们固收学到的匹配策略,没有专门针对非平行移动的匹配,所以还没有考虑Key rate duration的情况。

针对非平行移动带来的风险,固收里讲的匹配要求就是尽可能地降低Convexity,这样就尽可能降低非平行移动时,不匹配的风险。



“另外modified duration为什么不行呢”


单期负债匹配,只看Macaulay duration,虽然说由Mac.Duration相等,可以近似推导出Modified duration相等,但是我们三级在讲单期负债匹配时,没有Modified duration相等这个条件。要严格按照教材的条件,不然阅卷会认为是没有搞懂原理才选错的。

发亮_品职助教 · 2019年11月30日

嗨,努力学习的PZer你好:


“one time shift就是指平行移动吗?”


不是,就是泛指收益率曲线的移动。可以是非平行移动,也可以是平行移动。

在Reading 19我们会学到:只要满足匹配的条件,在一些非平行移动时,资产仍然能匹配负债。


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shirley_hd · 2019年12月01日

为何答案选c呢 如果是非平行移动 key rate duration不是也可以吗?另外modified duration为什么不行呢

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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?

2022-03-24 20:01 1 · 回答

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

2021-12-30 12:01 1 · 回答

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?

2021-12-11 14:46 2 · 回答

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

2021-09-16 06:15 2 · 回答

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)

2021-04-20 18:51 18 · 回答