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highsix · 2020年03月11日

问一道题:NO.PZ2019103001000032

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.

An upward shift in the yield curve on Strategy 2 will most likely result in the:

选项:

A.

price effect cancelling the coupon reinvestment effect.

B.

price effect being greater than the coupon reinvestment effect.

C.

coupon reinvestment effect being greater than the price effect.

解释:

A is correct.

An upward shift in the yield curve reduces the bond’s value but increases the reinvestment rate, with these two effects offsetting one another. The price effect and the coupon reinvestment effect cancel each other in the case of an upward shift in the yield curve for an immunized liability.

如果这道题是multiple liability,最开始实现了duration match。

若此时YIELD CURVE发生平行移动,是否无论咋平行移动一直是免疫?

若此时YIELD CURVE发生非平行移动,是否第一次非平行移动后依然免疫,第二次就不再免疫呢?

1 个答案

WallE_品职答疑助手 · 2020年03月12日

同学你好,

1. 因为我们在Match liability的时候会做到Macaulay Duration相等,利率变化一次,我们的确能让资产、负债实现Immunization. 一次的免疫之后,就得在做rebalance。如果不做调整的话,并不能一直免疫。

2.基于1的解释,再由于匹配macaulay duration之后,只要资产的Convexity足够小,绝大多数非平行移动也能免疫。但是也只能免疫一次,之后需要rebalance。