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Mia Li · 2024年12月13日

3.8%

NO.PZ2018091901000056

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 total risk premium of the three securities and determine the investor’s probable course of action.

选项:

A.

invest equally in all three securities

B.

do not invest equally in all three securities

C.

uncertain

解释:

B is correct.

The average spread (over 1-year government bond) at issue is [0 + 1 + (1 + 0.75 + 0.55)] = 3.3%/3 = 1.1%.

As the 1.1% is less than 1.5%, the investor will not make the investment.

解析:1-year government bond没有任何风险溢价,所以它的SPREAD就是0

相比较于1-year government bond10-year government bondSPREAD1%

相比较于1-year government bond10-year corporate bondSPREAD1% + 0.75% + 0.55%

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SPREAD,即

[0 + 1 + (1 + 0.75 + 0.55)] = 3.3%/3 = 1.1%.又因为这个SPREAD小于投资者想要的回报率1.5%,所以投资者不会去做投资。

请问老师解题为什么不是[3.8+ 4.8 + (4.8+ 0.75 + 0.55)] = 14.7%/3 = 4.9%.Expected spread=4.9%-3.8%=1.1%又因为这个SPREAD小于投资者想要的回报率1.5%,所以投资者不会去做投资。

1 个答案

笛子_品职助教 · 2024年12月13日

嗨,爱思考的PZer你好:


3.8%

请问老师解题为什么不是[3.8+ 4.8 + (4.8+ 0.75 + 0.55)] = 14.7%/3 = 4.9%.Expected spread=4.9%-3.8%=1.1%又因为这个SPREAD小于投资者想要的回报率1.5%,所以投资者不会去做投资。


Hello,亲爱的同学~

我们看题干:

Using only the information given, calculate the expected total risk premium of the three securities and determine the investor’s probable course of action.

看黑体字部分,题目的要求,是计算total risk premium。


而3.8%是risk -free rate。无风险利率。


无风险利率,并不属于risk premium。

所以我们在计算题目要求的risk premium时,不需要把3.8%算进去。

----------------------------------------------
虽然现在很辛苦,但努力过的感觉真的很好,加油!

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