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大龄考生宋一国 · 2024年01月12日

为什么upwarding的情况要增加久期

NO.PZ2021120102000002

问题如下:

An analyst manages an active fixed-income fund that is benchmarked to the Bloomberg Barclays US Treasury Index.

This index of US government bonds currently has a modified portfolio duration of 7.25 and an average maturity of 8.5 years. The yield curve is upward-sloping and expected to remain unchanged. Which of the following is the least attractive portfolio positioning strategy in a static curve environment?

选项:

A.

Purchasing a 10-year zero-coupon bond with a yield of 2% and a price of 82.035

B.

Entering a pay-fixed, 30-year USD interest rate swap

C.

Purchasing a 20-year Treasury and financing it in the repo market

解释:

B is correct.

The 30-year pay-fixed swap is a “short” duration position and also results in negative carry (that is, the fixed rate paid would exceed MRR received) in an upward-sloping yield curve environment; therefore, it is the least attractive static curve strategy.

In the case of a.), the manager enters a “buy-and-hold” strategy by purchasing the 10-year zero-coupon bond and extends duration, which is equal to 9.80 = 10/1.02 since the Macaulay duration of a zero equals its maturity, and ModDur = MacDur/(1+r) versus 7.25 for the index.

Under c.), the manager introduces leverage by purchasing a long-term bond and financing it at a lower short-term repo rate.

LT的yield更大,买久期大的价格便宜,可以赚取时间收益,是这么理解吗?如果预期长期利率上升更多,才需要减少久期对吗

1 个答案

pzqa015 · 2024年01月12日

嗨,努力学习的PZer你好:


可以这样理解。

这道题考察的是收益率曲线策略,讲义如下图

----------------------------------------------
就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

Xiaochong · 2024年07月30日

同问, 我又想了一下, 这和No.PZ2021120102000004 很像。 收益率曲线向上--> 长期bond price下降,想在bond price下降时获利就应该long put option or reduce duration--> pay fixed难道不是吗?

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