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纯圆圆 · 2024年01月28日

请问 barbell ladder 和 bullet

NO.PZ2023032703000056

问题如下:

Adams and junior portfolio manager Frank Neeson review the fixed-income portfolios of two new defined benefit plan clients, Lawson Doors & Cabinets, Inc., and Wharton Farms.

Neeson comments, “The durations for almost half of the bonds in the Wharton portfolio are clustered around 4 years, and the durations of the remainder around 12 years, while the durations of the Lawson portfolio bonds are clustered between 6 years and 8 years. In general, a laddered bond portfolio approach would improve liquidity management for both, although the Lawson portfolio would experience an increase in cash flow reinvestment risk and the Wharton portfolio would experience a decrease in convexity.”

Is Neeson most likely correct in his assessment of the effects of a laddered bond portfolio approach on the Wharton and Lawson portfolios? (2019 mock AM)

选项:

A.

Yes

B.

No, because the Lawson portfolio is a bullet portfolio where the duration of its assets are matched to the duration of its liabilities

C.

No, because the duration of the Wharton liabilities is greater than that of the Lawson liabilities owing to the younger age of its participants

解释:

A is correct. A laddered portfolio has lower convexity and dispersion than a barbell portfolio but more than a bullet portfolio, given comparable duration and cash flow yields. Lower convexity and dispersion are desirable aspects in liquidity management. In a laddered portfolio, there is always a bond close to redemption enhancing liquidity. As bonds mature, the final coupon and principal are available for distribution or can be reinvested in a long-term bond at the back of the ladder. The Wharton portfolio is more of a barbell, has higher convexity than the Lawson portfolio, and would see a larger reduction in cash flow reinvestment risk with the reduction of convexity.

Neither duration nor the projected life of the plan reveal the convexity or dispersion characteristics of the portfolio.

这三种 portfolio 的 reinvestment risk 是如何分辨的?如何去思考哪个大那个小

1 个答案
已采纳答案

pzqa31 · 2024年01月28日

嗨,努力学习的PZer你好:


这3个Portfolio的Reinvestment risk排序为:Barbell > Laddered > Bullet,可以当结论记忆。


首先就是Barbell/Bullet/Laddered Portfolio,这3个组合在比较的时候,其他所有条件都是一致的,唯一的差别就是组合的现金流结构不同,只有这样,这三个Portfolio才可以比较。当这3个Portfolio有相同的投资期,在同一个标准之下,我们比较Reinvestment risk。


在投资期之前发生的现金流需要进行再投资,直至到达投资期当天,所以只有投资期之前发生的现金流才面临再投资风险。于是,如果投资期之前的现金流越多,则面临的再投资的风险就越大,同时,如果现金流发生的时间越早、离投资期越远,则现金流面临的再投资风险也越大。


我们以原版书这幅图为例,蓝线代表投资期,这3个Portfolio,Laddered,Bullet,Barbell的投资期一致。


原版书原图中,黑色的柱线代表现金流发生的时间与金额,首先对于Bullet portfolio来讲,我们发现,组合的现金流就发生在投资期附近(黑色柱线在蓝线附近),那这样的话,Bulllet portfolio需要再投资的现金流就很少,于是他的Reinvestment risk最小。


反观Barbell Portfolio,由于在很早、离投资期很远的时候,就收到了一大笔现金流(如图中红圈,柱状图很宽,且离投资期很远),那这一大笔现金流需要进行再投资至投资期,因此面临的Reinvestment risk就很大。于是3个Portfolio中Barbell的再投资风险最大。


最后看Laddered portfolio,现金流发生的时间较为均匀,且每笔现金流的金额较少(如图中黑色柱状图分散较为均匀,且每笔适中),所以再投资风险居中。


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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

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