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李亚 · 2023年05月18日

降低duration为什么要long bond?

NO.PZ2021120102000004

问题如下:

An investment manager is considering decreasing portfolio duration versus a benchmark index given her expectations of an upward parallel shift in the yield curve.

If she has a choice between a callable, putable, or option-free bond with otherwise comparable characteristics, the most profitable position would be to:

选项:

A.

own the callable bond.

B.

own the putable bond.

C.

own the option-free bond.

解释:

B is correct. The value of a bond with an embedded option is equal to the sum of the value of an option-free bond plus the value to the embedded option.

With a putable bond, the embedded put option is owned by the bond investor, who can exercise the option if yields-to-maturity increase, as in this scenario.

Under A, the embedded call option is owned by the bond issuer, who is more likely to exercise if yields-to-maturity decrease (that is, the bond investor is short the call option).

As for C, the option-free bond underperforms the putable bond given the rise in value of the embedded put option.

这个题感觉怪怪的,这个人要降低duration,然后策略是long putable bond。long bond肯定是增加duration,怎么可能是降低呢。哪怕是putable bond,在利率上升的时候只能说价格对利率敏感度接近于0,但是还不是0

1 个答案

pzqa31 · 2023年05月18日

嗨,爱思考的PZer你好:


这道题的意思是,预期利率上升,要降低duration,买哪个债券能获利。所谓降低久期,就是看这三个bond哪个更可能提前结束,也就是久期(平均还款期)最短的。当利率上升的时候,putable bond更可能执行,因为投资者此时可以以执行价格提前卖回给发行人,就可以在市场上重新投资一个更高利率(价格更便宜)的债券,此时平均还款期变小,duration才会变小。

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