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开泰-王飞 · 2022年01月12日

不太明白答案,老师能给一下收益率曲线的函数吗?

NO.PZ2015121810000034

问题如下:

An analyst, who measures yield as a combination of interest rates and premiums, observes an upward-sloping, default-free government bond nominal yield curve. Which of the following statements is correct?

选项:

A.

Interest rates must be expected to rise in the future.

B.

Bond risk premiums must be expected to rise in the future.

C.

Expectations relating to the future direction of interest rates are indeterminate.

解释:

C is correct.

An upward sloping yield curve may be caused by a combination of expected rate increases and positive bond risk premiums. It may also be a combination of expectations that interest rates will be unchanged in the future coupled with positive bond risk premiums. Lastly, an upward sloping yield curve may actually be a reflection of expected rate cuts that are more than offset by the existence of positive bond risk premiums. So, expectations relating to the future direction of interest rates are indeterminate. 

考点:yield curve

解析:

债券市场的收益率可以简单地划分为两部分,一是risk-free interest rate,二是risk premium。如果收益率曲线表现为上升,那么有三种可能:

1.risk-free interest rate和risk premium同时上升;

2.risk-free interest rate上升,risk premium下降,但是前者上升的幅度超过后者下降的幅度;

3.risk-free interest rate下降,risk premium上升,但是前者下降的幅度小于后者上升的幅度。

因此仅观察债券市场的收益率曲线不能判断未来预测利率变化的方向。

一般收益率向上倾斜不是未来利率上涨吗?跟风险补偿有什么关系

1 个答案

星星_品职助教 · 2022年01月12日

同学你好,

这道题没有需要用到函数的地方,也没有函数的相关条件。组合中不会用到yield curve的函数形式。

1)题干说明“... yield as a combination of interest rates and premiums”,说明yield=(risk free)interest rate+risk premiums

2)所以收益率(yield)上涨即可能是由于其中的interest rate导致的,也可能是risk premium导致的,这两者未来如何变化的关系是不一定的。答案解析中描述的3种关系都能得到yield上涨的结论。

所以对于interest rate部分如何变化是不一定的。

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