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little_back · 2021年09月07日

请问老师这句话是什么意思?

NO.PZ2018091901000055

问题如下:

An investor is considering adding three new securities to her internationally focused fixed income portfolio. She considers the following non-callable securities:

1-year government bond

10-year government bond

10-year BBB rated corporate bond

She plans to invest equally in all three securities being analyzed or will invest in none of them at this time. She will only make the added investment provided that the expected spread/premium of the equally weighted investment is at least 1.5 percent (150bp) over the 1-year government bond. She has gathered the following information:

Using only the information given, calculate the expected return that an equal-weighted investment in the three securities could provide.

选项:

A.

4.8%

B.

4.9%

C.

6.1%

解释:

B is correct.

Estimate of the expected return of an equal-weighted investment in the three securities: (3.8% + 4.8% + 6.1%)/3 = 4.9%.

解析:首先,我们先计算出每种债券各自的收益。

1-year government bond没有任何风险溢价,所以它的收益率就是3.8%

相比较于1-year government bond10-year government bond存在期限溢价,因此它的收益是:3.8%+1%=4.8%

相比较于1-year government bond10-year corporate bond存在期限溢价,信用溢价以及流动性溢价,因此它的收益是3.8% +1% + 0.75% + 0.55%=6.1%

又因为这三类债券投资权重相等,所以直接求算数平均就可以求得投资的回报,即

(3.8% + 4.8% + 6.1%)/3 = 4.9%.

请问老师:"She will only make the added investment provided that the expected spread/premium of the equally weighted investment is at least 1.5 percent (150bp) over the 1-year government bond"这句话是什么意思?溢价低于150BP的不投?那10年期国债只溢价100BP,是不是不应该投?

1 个答案

源_品职助教 · 2021年09月08日

嗨,从没放弃的小努力你好:


这句话的意思是说,只有投资溢价超过150BP才会去投,否则不投。

但是这里的投是指投表格中三个资产的组合,也就是看这个组合的收益率溢价有没有超过150BP,而非看单一的资产。

所以解答中算的也是组合的平均溢价水平。

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努力的时光都是限量版,加油!

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