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little_back · 2021年08月10日

请问老师:不选B的原因是不是开始是duration matching的,且是one-time shifts in the yield curve?

NO.PZ2019103001000032

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.

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:

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 in the case of an upward shift in the yield curve for an immunized liability.

请问老师:不选B的原因是不是开始是duration matching的,且是one-time shifts in the yield curve?

1 个答案

pzqa015 · 2021年08月10日

嗨,努力学习的PZer你好:


请问老师:不选B的原因是不是开始是duration matching的,且是one-time shifts in the yield curve?

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是的同学,你的理解是正确的。

如果期初实现免疫,就有macDA=investment horizon=mac DL,此时price risk与reinvestment risk相互抵消。

在发生收益率曲线第一次变动前,这个等式一直是成立的。

收益率曲线变动一次后,mac DA变化,不一定等于investment horizon,此时price risk与reinvestment risk不一定相互抵消,免疫条件不一定成立,需要做rebalance。



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虽然现在很辛苦,但努力过的感觉真的很好,加油!