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Kokonoi Hajime · 2024年10月03日

flatten不是短期利率上升了嘛

* 问题详情,请 查看题干

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.

那为什么不是bond价值下降,被call回去可能降低,所以call option value下降

1 个答案

吴昊_品职助教 · 2024年10月06日

嗨,努力学习的PZer你好:


我们在讨论利率曲线变化的时候,都是假设短期利率不变的,发生变动的是长期利率。

现在,收益率曲线从向上倾斜变平,短期利率不变的情况下,长期利率下降。callable bond在利率下降的时候,未来行权可能性变大。此时,option会更值钱。

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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!

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2020-04-03 03:54 1 · 回答

    我找到了何老师讲的讲义相关部分,还有另外一个提问的同学的解答,还是不明白为什么flatten会是默认成曲线向下移动同时flatten,而不是曲线整体向上移动同时flatten(比如短期利率上升的多一些,远期利率上升的少一些)?

2018-05-05 23:15 1 · 回答