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糯米 · 2021年05月22日

有点困惑

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NO.PZ201602270200002008

问题如下:

8. All else being equal, if the shape of the yield curve changes from upward sloping to flattening, the value of the option embedded in Bond #2 will most likely:

选项:

A.

decrease.

B.

remain unchanged.

C.

increase.

解释:

C is correct.

Bond #2 is a callable bond, and the value of the embedded call option increases as the yield curve flattens. When the yield curve is upward sloping, the one-period forward rates on the interest rate tree are high and opportunities for the issuer to call the bond are fewer. When the yield curve flattens or inverts, many nodes on the tree have lower forward rates, which increases the opportunities to call and, thus, the value of the embedded call option.

其他条件不变的话bond 2已经是会在year 1是in the money会行权的状态,如果yield curve flatten并不会增加行权的nodes数,这样理解对么?那在这个前提下应该如何理解option value increase呢?
1 个答案

WallE_品职答疑助手 · 2021年05月23日

嗨,努力学习的PZer你好:


打个比方,收益率下降到2%, 得到债券的价格是110. 收益率下降到1%,得到的债券的价格是120. 而如果行权价格为100,那显然后者的价值更高。


回到题目,含权债券的价格与还剩多少nodes可以行权的数量无关,债券价值和利率成反比,利率越低,债券价格越高,行权的价值也就越高。

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努力的时光都是限量版,加油!

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