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知念杏子 · 2022年11月19日

这种题是不用考虑买入价格吗?

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.

如果买callable bond,它的成本会比putable bond和option-free bond更便宜,在利率上升的情况下,发行方不会行权,所以其实白赚了一个期权费?那它的gain不是也更大吗?

当然,如果不考虑买入价格,gain最大的肯定是买入putable bond,画图肯定可以看出。所以我想知道这种题是不是我想太复杂了,不用考虑买入价格(成本)的差异吗?

1 个答案

pzqa015 · 2022年11月19日

嗨,努力学习的PZer你好:



你想的复杂了,不考虑买入价格

直接根据收益率曲线向上,所以应该降低duration,只能在callable&putable中选,收益率向上,Putable更容易行权,所以gain最大。

----------------------------------------------
虽然现在很辛苦,但努力过的感觉真的很好,加油!

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