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Spencer · 2022年10月26日

老师请问为何不选Portfolio 3?

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.

老师请问,为何不选Portfolio 3? Convexity 3在3个选项中是最小的,虽然Mac Duration 3 并不接近9 而是8,那Mac Duration和Convexity这两个条件在判断immunization risk最小的时候,两者谁重要?

1 个答案

pzqa015 · 2022年10月26日

嗨,努力学习的PZer你好:


mac duration满足后,再看convexity。按照三个条件的先后顺序来判断。

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

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