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Spencer · 2022年07月14日

为何不对price effect being greater than the coupon reinvestment effect

NO.PZ2018120301000032

问题如下:

Doug, the newly hired chief ­financial officer for the City of Radford, asks the deputy ­financial manager, Hui, 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.

Hui 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.

Doug asks Hui 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. Hui 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.
An upward shift in the yield curve on Strategy 2 will most likely result in the:

选项:

A.

price effect cancelling the coupon reinvestment effect.

B.

price effect being greater than the coupon reinvestment effect.

C.

Coupon reinvestment effect being greater than the price effect.

解释:

Correct Answer: A

A is correct. An upward shift in the yield curve reduces the bond’s value but increases the reinvestment rate, with these two effects offsetting one another. The price effect and the coupon reinvestment effect cancel each other out in the case of an upward shift in the yield curve for an immunized liability.

老师请问,price effect being greater than the coupon reinvestment effect为何不对?

3 个答案
已采纳答案

pzqa015 · 2022年07月14日

嗨,从没放弃的小努力你好:


免疫条件是mac D=investment horizon。

mac D代表price risk,investment horizon代表reinvestment risk,二者相等时恰好可以做到price risk与reinvestment risk相互抵消,所以price effect等价于coupon reinvestment effect。

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努力的时光都是限量版,加油!

Zwwei · 2022年08月07日

这里和收益率曲线是不是upward sloping没有关系吧?

Esther🏵🎠🗝招财🐱 · 2023年05月04日

Hui observes that the current ­fixed-income portfolio is structured to match the duration of each liability. 老师,请问是根据上面这句话推断出strategy2符合免疫条件?题干里并没有清晰说明2个strategy都是mac duration相等

pzqa015 · 2023年05月04日

嗨,从没放弃的小努力你好:


不是的

strategy2Immunization of the single liabilities using coupon-bearing bonds while continuously matching duration.这句话的意思就是免疫的第二个条件mac duration=investment horizon成立。

题目问的是strategy2,不是2个strategy。

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努力的时光都是限量版,加油!

pzqa015 · 2022年08月07日

嗨,爱思考的PZer你好:


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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

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