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dzlab · 2021年04月10日

如果是steepen呢?是不是就应该选B

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.

如果是steepen,是不是就应该选B?
1 个答案

发亮_品职助教 · 2021年04月12日

嗨,努力学习的PZer你好:


如果是steepen,是不是就应该选B?


非平行移动不太好判断。


首先是Price risk与Coupon reinvestment risk的大小关系,一定是在收益率曲线平行移动下,进行判断的。


例如,投资期Investment horizon等于Macaulay duration达到Immunization时,利率曲线平行移动时,可以判断Price risk与Coupon reinvestment risk可以完全抵消掉;


投资期Investment horizon大于Macaulay duration时,利率曲线平行移动时,是Coupon reinvestment risk大于Price risk;或者也可以这么理解,此时决定债券投资收益率的主要是Coupon reinvestment return。因为,这种情况下,投资期很长,Coupon and coupon reinvestment return的复利会很高。


投资期Investment horizon小于Macaulay duration时,利率曲线平行移动时,是Price risk大于Coupon reinvestment risk;或者也可以这么理解,此时决定债券投资收益率的主要是债券的卖出价格Price(capital gain or loss)。因为在这种情况下,投资期很短,Coupon没有累积多少,决定债券投资收益的主要是提前卖出债券的capital gain or loss。


当出现收益率曲线的非平行移动时,判断Price risk与Coupon reinvestment risk大小,如提问里的Steepen其实不太好判断。一是要看Portfolio的结构、看看Portfolio分别是由啥期限的债券组成的,二是要看利率曲线的具体变动,可能会需要定量进行计算。


我们在这个知识点学习时,不会让分析非平行移动时,Price risk与Coupon reinvestment risk的大小关系的,因为定性确实不太好判断。但是平行移动时Price risk与Coupon reinvestment risk需要会分析,尤其是Immunization时,Price risk与Coupon reinvestment risk可以相互抵消这条。

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