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天天吃饭团 · 2024年06月28日

对于Risk Premium的拆分产生了疑问。

NO.PZ2022122601000068

问题如下:

One year later, Young meets with his firm’s fixed income portfolio manager, Bianca Dvorak. Dvorak manages a domestic bond fund for the firm and is considering whether to purchase a 5-year callable, BBB-rated corporate bond for the fund. The corporate bond currently yields 4.90%.

Dvorak wants to use the risk premium approach to decide whether to purchase the bond for her fund. The trailing 12-month inflation rate is 1.10% and Young expects inflation to be constant at 1.50% per year for the next five years. Dvorak assumes that the illiquidity discount and tax premium are both zero. Dvorak and Young compile the information in Exhibit 3.

Determine, based on the risk premium approach, whether Dvorak should purchase the corporate bond. Justify your response. Show your calculations.

选项:

解释:

Correct Answer:

Dvorak should not purchase the bond.

Dvorak must compare the market yield on the bond (4.90%) with the required yield determined by the sum of the applicable risk premiums. This required yield is calculated as:

Required yield = Real risk-free interest rate + Inflation premium + Default risk premium + Maturity premium + Call risk premium = 1.30% + 1.50% + 0.80% + 1.00% + 0.60% = 5.20%

Default risk premium is the 5-year BBB-rated credit risk spread over Treasuries

Call risk premium is the 5-year call risk premium.

The bond should not be purchased because the market yield of 4.90% does not fully compensate for the risks embedded in the bond.

中文解析:

德沃夏克不应该购买债券。

Dvorak必须将债券的市场收益率(4.90%)与由适用风险溢价之和确定的所需收益率进行比较。所需的产量计算如下:

要求收益率=实际无风险利率+通胀溢价+违约风险溢价+到期溢价+认购风险溢价= 1.30% + 1.50% + 0.80% + 1.00% + 0.60% = 5.20%

违约风险溢价是5年期bbb级信用风险对美国国债的利差

买入风险溢价是指5年期买入风险溢价。

该债券不应购买,因为4.90%的市场收益率并不能完全补偿债券所包含的风险。

首先想确认该题的考纲还是在于对Fixed Income而言的Premium是指:Term、Liquidity、Credit这个考纲范围?


如果是的话,浏览了对于该题的提问,对于Risk Premium的分解产生了疑问。


如果Risk free rate是指一年期的无风险收益率,那么加上 Term Premium 与Liquidity Premium+ Credit Premium + Call risk Premium就该得到最后Bond的Yield。请注意与给出答案相比,但此时其实忽略了Expected inflation。

想请问Inflation该怎么进行考虑或者归于 Term、Credit、Liquidity中的哪一个呢?

3 个答案
已采纳答案

笛子_品职助教 · 2024年06月28日

嗨,爱思考的PZer你好:


老师好,谢谢你及时的回复,关于这道题我的疑问是,这个公式是哪里来的? Required yield = Real risk-free interest rate + Inflation premium + Default risk premium + Maturity premium + Call risk premium 在目前教材的哪个知识点吗?教材的知识点写的是risk free、term、 credit、liquidity.


教材里的公式的risk free是名义无风险利率。

对应本题的:real 无风险利率 + infaltion premium。


本题的Default risk premium就是教材里的credit premium。

本题的Maturity premium就是教材里的term premium。

如果是期权的债券( callable,),还要加上Call risk premium。


因此有本题的公式。




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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

天天吃饭团 · 2024年06月28日

谢谢老师,我没注意 Real,抱歉添麻烦了!

笛子_品职助教 · 2024年06月28日

嗨,爱思考的PZer你好:


谢谢老师,我没注意 Real,抱歉添麻烦了!

嗯嗯,解题的时候要看清是real 还是名义值。

一般不特别说明real,默认是按照名义值来处理的。

本题有real,就要加上通胀,转为名义值。

同学如果还有其他问题,也欢迎随时提问哦。

祝学习顺利~

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努力的时光都是限量版,加油!

笛子_品职助教 · 2024年06月28日

嗨,从没放弃的小努力你好:


Hello,亲爱的同学~


除了表格里的数字,题干里还有:Young expects inflation to be constant at 1.50% per year for the next five years这个条件。


我们看这道题的公式

Required yield = Real risk-free interest rate + Inflation premium + Default risk premium + Maturity premium + Call risk premium = 1.30% + 1.50% + 0.80% + 1.00% + 0.60% = 5.20%


从公式可以看出:同学说的expected infaltion就是Inflation premium ,数值是1.5%。


既然题目已经把通胀单独列出来了,这就意味着infaltion并不属于term、 credit、liquiidy。


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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

天天吃饭团 · 2024年06月28日

老师好,谢谢你及时的回复,关于这道题我的疑问是,这个公式是哪里来的? Required yield = Real risk-free interest rate + Inflation premium + Default risk premium + Maturity premium + Call risk premium 在目前教材的哪个知识点吗?教材的知识点写的是risk free、term、 credit、liquidity.

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