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金融民工阿聪 · 2022年08月13日

关于market weighted duration

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.

market weighted duration不等于portfolio duration,它又不能用来判断选择哪个portfolio去match,那么market weighted duration的应用是啥?

1 个答案
已采纳答案

pzqa015 · 2022年08月14日

嗨,爱思考的PZer你好:


实务中,为了简化计算,会用weighted duration来作为portfolio duration的近似值,但这样是不准确的,考试如果没给portfolio mac duration,那么也可以用weighted duration来做portfolio duration,如果给了portfolio mac duration和weighted duration,那么只能用portfolio mac duration。

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