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次第花开 · 2019年12月10日

问一道题:NO.PZ2019103001000041

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.

Donaldson suggests they also consider altering the portfolio’s convexity to enhance expected return given McLaughlin’s interest rate expectations.

Given McLaughlin’s interest rate expectations over the next 12 months, one way that Donaldson and McLaughlin could alter convexity to enhance expected return would be to:

选项:

A.

sell call options on bonds held in the portfolio.

B.

buy call options on long-maturity government bond futures.

C.

sell put options on bonds they would be willing to own in the portfolio.

解释:

B is correct.

McLaughlin expects interest rate volatility to be high and the yield curve to experience an increase in the butterfly spread, with the 30-year yield remaining unchanged. To increase the portfolio’s expected return, Donaldson and McLaughlin should buy call options on long-maturity government bond futures to increase convexity.

老师,你好!题干中这句话“experience an increase in the 2s/10s/30s butterfly spread, with the 30-year yield remaining unchanged. ”不是很明白是什么意思,什么叫 butterfly spread?这个条件是有用的么,谢谢

1 个答案
已采纳答案

发亮_品职助教 · 2019年12月10日

嗨,努力学习的PZer你好:


"什么叫 butterfly spread?这个条件是有用的么"


这道题没用。

Butterfly描述的是收益率曲线上,中期利率相对于长期、短期利率的位置情况。在Reading 20,我们学了一个Butterfly spread的公式:

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

也就是2倍的中期利率,减去长期利率,减去短期利率。

他描述的其实是中期利率相对于长期、短期利率的位置:Butterfly spread越大说明中期利率相对长短期利率更大,所以是曲线很弯曲,Butterfly spread越小说明中期利率相对于长短期利率差不多,所以收益率曲线相对比较平坦了。所以他描述了收益率曲线的弯曲程度。


这道题说:An increase in the 2s/10s/30s butterfly spread,实际上是告诉我们,中期利率(10年期利率)相对上升幅度更大,造成了曲线更弯曲的状态。

然后题目进一步告诉我们,with the 30-year yield remaining unchanged,在曲度发生变动中,30s的利率没变;同时从表格中知道:5s/10s的利率变动幅度较大,2s的变动幅度较小。

因为表格给了详细的收益率曲线变化,所以说的Increase in Butterfly spread这个条件对这道题没有用。


虽然这道题没用,但是要知道Butterfly spread代表啥意思、包括公式。


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