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粉红豹 · 2019年12月31日

问一道题:NO.PZ2019103001000069

问题如下:

Emma Gerber and Juliette Petit are senior and junior credit portfolio managers, respectively, for a European money management firm. They are discussing credit management strategies and preparing for an annual meeting with a major client.

One of their high-yield bond holdings is a 10-year bond issued by EKN Corporation (EKN). The bond has a price of 91.82, a modified duration of 8.47, and a spread duration of 8.47. For this bond, Petit speculates on the effects of an interest rate increase of 20 bps and, because of a change in its credit risk, an increase in the EKN bond’s credit spread of 20 bps. Petit comments that because the modified duration and credit spread duration of the EKN bond are equal, the bond’s price will not change (all else being equal) in response to the interest rate and credit spread changes.

Is Petit’s prediction correct that the EKN bond price will not change in response to the interest rate and credit spread changes, all else being equal?

选项:

A.

Yes

B.

No, the bond price should decrease

C.

No, the bond price should increase.

解释:

B is correct.

An increase in interest rates results in a decrease in the bond price. An increase in the credit spread also results in a decrease in the bond price. For the EKN bond, its modified duration shows the effect of the 20 bp increase in interest rates. The approximate percentage price change resulting from the increase in interest rates is –8.47 × 0.0020 = –1.694%. The spread duration shows the effect of the 20 bp increase in the credit spread. The approximate percentage price change resulting from the increase in the credit spread is –8.47 × 0.0020 = –1.694%. The combined effect is a total change of –3.388%, or a price decrease of roughly 3.4%.

老师,如果这个题目改一下,如果benchmark rate 增加20bp,credit spread下降 20bp,最终应该怎么变?

2 个答案

发亮_品职助教 · 2020年01月13日

“但不是课程中说的是HYB对spread的变化更敏感吗?那么Price的变化不应该是侧重考虑spread变化带来的影响?”


对的,定性判断是对Spread的变化更敏感。

但是如果定理计算给定了利率与Spread的变动是啥样,就需要按照上面的方式计算。

发亮_品职助教 · 2019年12月31日

嗨,努力学习的PZer你好:


“如果这个题目改一下,如果benchmark rate 增加20bp,credit spread下降 20bp,最终应该怎么变?”


债券价格不变。

可以这么理解:

题干说这支债券的:modified duration and credit spread duration是相等的。我们可以知道,这是一个Non-callable, fixed-rate bond。

因为是不含权的固定利率,Benchmark rate增加20bp,Credit spread下降20bp,所以债券的YTM不变。

于是债券的价格不变。



或者我们就单个分开算:

按住Spead不变,仅仅是Interest rate +20bp改变带来的债券价格变化为:-20bps × 8.47

按住Interest rate不变,仅仅是Spread -20bp变动带来的债券价格改变为:20bps × 8.47

所以总变化对债券价格的影响是:-20bps × 8.47 + 20bps × 8.47 = 0


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努力的时光都是限量版,加油!


Sure · 2020年01月11日

老师,但不是课程中说的是HYB对spread的变化更敏感吗?那么Price的变化不应该是侧重考虑spread变化带来的影响?