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?