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FrankSun · 2022年02月05日

利率升高,Put option更值钱更有价值,难道不对吗?

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NO.PZ201712110200000306

问题如下:

If the Brown and Company forecast comes true, which of the following is most likely to occur? The value of the embedded option in:

选项:

A.

Bond 3 decreases.

B.

Bond 4 decreases.

C.

both Bond 3 and Bond 4 increases.

解释:

A is correct.

All else being equal, the value of a put option decreases as the yield curve moves from being upward sloping to flat to downward sloping (inverted). Alternatively, a call option’s value increases as the yield curve flattens and increases further if the yield curve inverts. Therefore, if the yield curve became inverted, the value of the embedded option in Bond 3 (putable) would decrease and the value of the embedded option in Bond 4 (Callable) would increase.

利率升高,Put option更值钱更有价值,难道不对吗?

2 个答案

pzqa015 · 2023年06月09日

嗨,努力学习的PZer你好:


加油

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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!

pzqa015 · 2022年02月06日

嗨,从没放弃的小努力你好:


这里预期收益率曲线变inverted,可以理解成长期利率相对于短期利率下降,短期利率相对于长期利率上涨。根据(1+s1)(1+f(1,1))=(1+s2)^2,长期利率取决于对未来短期利率的预期,所以,长期利率相对于短期利率下降,可以进一步理解为预期未来短期利率下降。

embedded option bond计算价格是从后向前折现,因此,债券价格主要受未来短期利率的影响(比如未来1年期spot rate),未来利率下降,callable中的Option更值钱,putable中的option更不值钱,因为行权可能性下降。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

喂呀喂呀 · 2023年06月09日

我也有同样的疑惑,为何这题的option value变化,与此前学习的“r下降,Vcall上升,Vput下降”的结论相反?

喂呀喂呀 · 2023年06月09日

理解了,无需解答了

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