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爱吃草的欢欢 · 2020年02月20日

问一道题:NO.PZ2019103001000033 [ CFA III ]

问题如下:

Doug Kepler, the newly hired chief financial officer for the City of Radford, asks the deputy financial manager, Hui Ng, to prepare an analysis of the current investment portfolio and the city’s current and future obligations. The city has multiple liabilities of different amounts and maturities relating to the pension fund, infrastructure repairs, and various other obligations.

Ng observes that the current fixed-income portfolio is structured to match the duration of each liability. Previously, this structure caused the city to access a line of credit for temporary mismatches resulting from changes in the term structure of interest rates

Kepler asks Ng for different strategies to manage the interest rate risk of the city’s fixed-income investment portfolio against one-time shifts in the yield curve. Ng considers two different strategies:

Strategy 1: Immunization of the single liabilities using zero-coupon bonds held to maturity

Strategy 2: Immunization of the single liabilities using coupon-bearing bonds while continuously matching duration.

The effects of a non-parallel shift in the yield curve on Strategy 2 can be reduced by:

选项:

A.

minimizing the convexity of the bond portfolio.

B.

maximizing the cash flow yield of the bond portfolio.

C.

minimizing the difference between liability duration and bond-portfolio duration.

解释:

A is correct.

Minimizing the convexity of the bond portfolio minimizes the dispersion of the bond portfolio. A non-parallel shift in the yield curve may result in changes in the bond portfolio’s cash flow yield. In summary, the characteristics of a bond portfolio structured to immunize a single liability are that it (1) has an initial market value that equals or exceeds the present value of the liability, (2) has a portfolio Macaulay duration that matches the liability’s due date, and (3) minimizes the portfolio convexity statistic.

对于yield curve非平行移动,不是首先解决的是duration match,在duration match的情况下,再最小化convexity嘛?所以C为啥是错的?
2 个答案

Zwwei · 2020年03月01日

我可以理解为,题目上已经交代了是duration已经是match的了,然后问如何可以在这样的情况下免疫,所以要convexity,最小吗?

carolllll · 2020年02月21日

同学你好,

是的你的理解是对的,但是这道题问的角度有些不同。

题干说“Strategy 2: Immunization of the single liabilities using coupon-bearing bonds while continuously matching duration.”

然后问题问的是在Strategy 2中,哪一部分是为了non-parallel shift而做的protection,所以针对于non-parallel shift,我们选择convexity。

希望对你有帮助~

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2022-01-09 00:02 1 · 回答

NO.PZ2019103001000033 平行移动的话没有影响吗?对ration和凸度有没有影响?

2021-07-26 20:29 2 · 回答

请问题目中不是说针对multiple liabilities吗?那么为何是选择convexity最小的状况呢?

2020-03-12 21:16 1 · 回答