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沪上小王子 · 2024年01月19日

Maturity premium可否代表全部的term premium?

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。

在题中100 bp的Maturity premium是5年国债相对1年的,但是收益率计算的起点是无风险利率,所以这个Maturity premium仅仅代表4年的term premium吧,第一年的term premium是可以忽略不用纳入其中吗?

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已采纳答案

笛子_品职助教 · 2024年01月19日

嗨,努力学习的PZer你好:


在题中100 bp的Maturity premium是5年国债相对1年的,但是收益率计算的起点是无风险利率,所以这个Maturity premium仅仅代表4年的term premium吧,第一年的term premium是可以忽略不用纳入其中吗?


Hello,亲爱的同学~

同学理解正确。

一般来说,没有特别说明,利率默认是1年的。

结合本题,这里的无风险利率就是1年期无风险利率。

第一年并不存在term premium的。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

天天吃饭团 · 2024年06月28日

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?

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