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mario · 2021年04月21日

2年期的rate

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NO.PZ201812020100000603

问题如下:

Using the yield curve forecast shown in Exhibit 1, which portfolio strategy should Donaldson recommend for the year ahead?

选项:

A.

The bullet portfolio

B.

The barbell portfolio

C.

The laddered portfolio

解释:

B is correct.

McLaughlin expects the yield curve to experience an increase in the butterfly spread, with the 30-year yield remaining unchanged, which implies that the yield curve will increase its curvature, pinned at the 30-year yield, as shown in Exhibit 1. The barbell portfolio, consisting of 2-year and 30-year bonds, would be expected to perform best. Although the two-year rate is expected to increase, the effective duration of two-year bonds is quite small, resulting in minimal price impact. Similarly, the 30-year yield is expected to remain constant, resulting in minimal price impact as well. Relative to the barbell portfolio, the laddered portfolio has greater exposure to the expected increases in the 5-year and 10-year yields, and the bullet portfolio has greater exposure to the expected increase in the 10-year yield. Therefore, the barbell portfolio would be expected to perform best given McLaughlin’s interest rate expectations.

这里2年期的rate是上升的,那么不就UNDERPERFORM嘛?30年的RATE 又不变,所以不就应该选BULLET 嘛?

1 个答案
已采纳答案

发亮_品职助教 · 2021年04月21日

嗨,努力学习的PZer你好:


这里2年期的rate是上升的,那么不就UNDERPERFORM嘛?30年的RATE 又不变,所以不就应该选BULLET 嘛?


2-year rate虽然上升(其实上升幅度非常小,就只有0.04%),同时2-year债券的Duration非常小,对组合的影响其实有限。


比如,为了简便计算,我们把Maturity就近似当成Duration。

Barbell的组合是:28.5%的30-year,71.5%的2-year;这样Duration = 28.5%×30 + 71.5%×2 ≈ 10

Bullet的组合是:100% 10-year


在表1的利率变动下: Barbell的表现是:- 0.04% × 2 × 71.5% = 0.0572%

Bullet的表现是:10 × 0.5% × 100% = 5%


发现,在这样的利率预期之下,其实是Bullet的表现相对更差一些。


在分析短期利率和长期利率变动对组合的影响时,不仅仅要看短期利率与长期利率的各自变动幅度,还要考虑短期债券与长期债券之间的Duration差异很大。


例如,即便短期利率的变动比长期利率的变动幅度要大一些,但是由于长期债券的Duration更大、利率敏感度更大,所以长期债券对组合价值的影响其实更大。那我们在分析时,可以只看长期。像这道题短期2-year的利率变动太小了,再加上短期债券的Duration又很小,所以在分析时可以不看短期的影响了。


不过建议在分析Barbell/bullet/laddered哪个表现更好时,建议直接套用结论。像这道题是Increase in curvature(More curvature),即,中期利率相对上升的改变,那是Barbell的表现相对更好,于是直接选B。可参考讲义240页:


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