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chen · 2020年01月22日

问一道题:NO.PZ2019103001000033

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.

Strategy2 难道不是形容cash flow strategy 吗?因为要不停的做duration matching,意思是coupon的投资期需要与liabllity相匹配

1 个答案

发亮_品职助教 · 2020年01月22日

嗨,努力学习的PZer你好:


“Strategy2 难道不是形容cash flow strategy 吗?”


不是的,Cash flow matching不会涉及到Duration的概念。只要做匹配时,涉及到Duration的概念,就是Duration-matching。

注意在Strategy 2里面,他的说法是Continuously matching duration,也就是不停的使得Duration达到Matching的条件。所以我们知道,使用的一定是Duration-matching的策略。


我们在做Duration-matching时,是让资产的Duration等于负债的Duration,达到资产匹配负债。

但是只有在匹配好的那一刻,资产的Duration才真正等于负债的Duration;

随着时间的流逝,Duration数据会变,所以资产的Duration就可能不会再等于负债的Duration;或者是利率发生改变时,资产负债的Duration也会发生不同程度的变化,所以两者可能不再相等。

所以,并不是匹配好之后,就时时刻刻能达到Duration-matching,因为匹配好之后,资产负债的Duration可能会不再相等,逐渐产生误差,偏离匹配的条件。这时候,Continuouly matching duration,就是时刻让资产的Duration等于负债的Duration、达到时刻匹配的要求。

这就是Strategy 2的说法。

但是这种时刻调整非常不现实,涉及到买卖债券会产生很大的成本,所以做好的Duration-matching策略,我们会定期进行Rebalance,中间资产负债的Duration有点小误差也无所谓,定期Rebalance,使他们重新达到Duration-matching即可。


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努力的时光都是限量版,加油!


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