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lman · 2021年04月19日

下面公式中第一个1是怎么来的?

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。

[0 + 1 + (1 + 0.75 + 0.55)] = 3.3%/3 = 1.1%.

公式中的第一个1 是怎么来的,我看不就只有溢价中的一个1么? (1 + 0.75 + 0.55)我知道什么意思,外面那个1是?

Yiyun · 2023年04月17日

巧了,还好有你问了~ 疑惑的地方是一样的

2 个答案

源_品职助教 · 2023年04月17日

嗨,爱思考的PZer你好:


搞清楚了就好

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

源_品职助教 · 2021年04月20日

嗨,努力学习的PZer你好:


其实这里是算了3个债券的溢价。

1-year government bond 没有任何溢价,所以是0,

10-year government bond只有期限溢价,所以要+1,这里的1也就是同学你提问的

10-year BBB rated corporate bond包含众多溢价,其中括号中1页代表了期限溢价。

求得三个债券溢价之和后,还要求平均,所以最后又除以了3

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加油吧,让我们一起遇见更好的自己!

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