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zyzy · 2022年12月17日

到期时间是否需要考虑

NO.PZ2018120301000026

问题如下:

Leah informs Molly that DFC has a single $500 million liability due in nine years, and she wants SD&R to construct a bond portfolio that earns a rate of return sufficient to pay off the obligation.

Molly provides the four US dollar–denominated bond portfolios in Exhibit 1 for consideration. Molly explains that the portfolios consist of non-callable, investment-grade corporate and government bonds of various maturities because zero-coupon bonds are unavailable.


Based on Exhibit 1, which of the portfolios will best immunize SD&R’s single liability?

选项:

A.

Bond portfolio 1

B.

Bond portfolio 2

C.

Bond portfolio 3

解释:

Correct Answer: B

B is correct. In the case of a single liability, immunization is achieved by matching the bond portfolio’s Macaulay duration with the horizon date. DFC has a single liability of $500 million due in nine years. Portfolio 2 has a Macaulay duration of 8.9, which is closer to 9 than that of either Portfolio 1 or 3. Therefore, Portfolio 2 will best immunize the portfolio against the liability.

DFC的到期时间是9年,4个protfolio的平均到期时间除了3都远大于9.那么这构建免疫的时候不用考虑这个因素是嘛

2 个答案

pzqa015 · 2022年12月17日

嗨,努力学习的PZer你好:


不考虑平均到期时间

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pzqa015 · 2022年12月17日

嗨,爱思考的PZer你好:


免疫的条件之一是mac duration=investment horizon,负债的investment horizon是9,所以,portfolio 的mac duration也应该是9。

但一般很难完全相等,只能选近似相等的,题目给的4个portfolio只有2和4的mac duration最接近9,所以,在1、2、3中选,2是最合适的。

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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!

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