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S7am · 2020年10月28日

问一道题:NO.PZ2019103001000039

问题如下:

McLaughlin and Michaela Donaldson, a junior analyst at Delphi, are now discussing how to reposition the portfolio in light of McLaughlin’s expectations about interest rates over the next 12 months. She expects interest rate volatility to be high and the yield curve to experience an increase in the 2s/10s/30s butterfly spread, with the 30-year yield remaining unchanged. Selected yields on the Treasury yield curve, and McLaughlin’s expected changes in yields over the next 12 months, are presented in Exhibit 1.

Based on these interest rate expectations, McLaughlin asks Donaldson to recommend a portfolio strategy. Donaldson considers the following three options.

Bullet portfolio: Invest solely in 10-year Treasury government bonds

Barbell portfolio: Invest solely in 2-year and 30-year Treasury government bonds

Laddered portfolio: Invest equally in 2-year, 5-year, 10-year, and 30-year Treasury government bonds

Which of Donaldson’s statements is correct?

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.

“She expects interest rate volatility to be high” 这句话可不可以作为解题的关键呢?


因为波动率大,所以直接选择凸性最大的barbell。

2 个答案
已采纳答案

WallE_品职答疑助手 · 2020年10月28日

同学您好,

咱们看收益率曲线变化最先想到的一定要是duration,因为duration和利率对债券价格的影响最敏感。

所以这一题咱们看的也是duration和利率对债券价格的影响,中期利率上升,那么中部有现金流的就会使得债券组合的收益率下降。这一思路可以适用于所有的收益率变动题目。

因为波动率大,所以直接选择凸性最大的barbell。只适用于一些题目,如果您做的题目更多的话,我记得有一道题目这思路就不适用。

S7am · 2020年10月29日

increase in butterfly spread,意思是中期利率往上涨是吧? 记得老师说是蝴蝶的翅膀往下扇动?

WallE_品职答疑助手 · 2020年10月30日

Positive butterfly 是短长期上升,中期下降 详见P90,这个可以牢记。


Butterfly spread 原版书讲义是这么写的:

Butterfly spread =−(Short-term yield)+ (2× Mid-term yield) −Long-term yield

• E.g., –(2-Year yield) + (2 × 10-Year yield) – 30-Year yield

• The butterfly spread takes on larger positive values when the yield curve has more curvature.

详见P183页, 这里建议直接看图表的变化,不用和positive/negative butterfly记混。

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2021-04-20 19:38 1 · 回答

NO.PZ2019103001000039 老师,我理解这句话是30年yiel不变,但2s/10s/30s 均增加,收益率曲线应该是绕着30年的点向下转动,是steepening,哪里提到curvature了?

2021-03-28 18:15 1 · 回答

请问老师,为什么这题不能从题目说的“high volatilit\"的角度出发选择volatility最大的Laeral(考虑到2year的yielcurve也增加,似乎并不是最优的情况下)。谢谢

2020-10-16 12:47 1 · 回答

老师,能帮忙下这道题吗?没看懂

2020-03-08 21:24 1 · 回答