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明明要加油 · 2024年05月17日

老师,这道题是不是出的不太好。

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.

题干给出的是Strategy 2: Immunization of the single liabilities using coupon-bearing bonds while continuously matching duration.


题目问的是:如果收益率曲线出现向上倾斜,再投资风险和价格风险的比较。


我是这么理解的:如果收益率曲线是非平行移动且向上倾斜,短端利率上涨的少,长端利率上涨的多。那么长端债券价格下降的大,短端价格下降的少,无法做到match single liability。


duration match的前提是利率出现平行移动,如果非平行移动的话,尽管持续动态的match duration,也无法将再投资风险和价格风险相抵消啊。因为还有非平行移动带来的风险呢。


这道题实在不明白。我看了所有人的问题,也没有人问到我纠结的点,请老师解读。谢谢。

2 个答案
已采纳答案

pzqa31 · 2024年05月18日

嗨,从没放弃的小努力你好:


同学,是这样的,一般只提到upward/downward,我们认为指的就是平行移动,如果是非平行移动一般会说steepening,flattening这种,也就是slope出现改变了。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

明明要加油 · 2024年05月18日

好吧,我白纠结了。原来卡点在阅读理解😅

pzqa31 · 2024年05月18日

嗨,爱思考的PZer你好:


多做题就熟悉了,加油^^

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努力的时光都是限量版,加油!

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