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316842964 · 2020年03月04日

问一道题:NO.PZ2018123101000104 [ CFA II ]

问题如下:

Steele Ferguson, a senior analyst at Samuel, is reviewing three fixed-rate bonds issued by a local firm, Pro Star, Inc.

A fall in interest rates would most likely result in:

选项:

A.

a decrease in the effective duration of Bond #3.

B.

Bond #3 having more upside potential than Bond #2.

C.

a change in the effective convexity of Bond #3 from positive to negative.

解释:

A fall in interest rates results in a rise in bond values. For a callable bond such as Bond #2, the upside potential is capped because the issuer is more likely to call the bond. In contrast, the upside potential for a putable bond such as Bond #3 is uncapped. Thus, a fall in interest rates would result in a putable bond having more upside potential than an otherwise identical callable bond. Note that A is incorrect because the effective duration of a putable bond increases, not decreases, with a fall in interest rates—the bond is less likely to be put and thus behaves more like an option-free bond. C is also incorrect because the effective convexity of a putable bond is always positive. It is the effective convexity of a callable bond that will change from positive to negative if interest rates fall and the call option is near the money.

老师,答案的最后一句话,没看懂,关于convexity的C选项,可以展开解释一下吗 谢谢
2 个答案

WallE_品职答疑助手 · 2021年04月02日

嗨,努力学习的PZer你好:


不是的哈,利率下降会导致债券的价格上升,但是在投资收益率下降了,所以bond yield不一定会上升。针对您的第二个问题,如果不考虑,票息,违约和信用风险的话,债券利率越高才是越吸引人的(这就和股票还有基金给你的回报率一样当然是越高越吸引人)

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吴昊_品职助教 · 2020年03月05日

当利率下降的时候,callable bond有可能会行权,债券发行人会以提前约定好的call prcie将债券提前赎回。call price是callable bond的价格上限。此时利率价格曲线会反弯,由原先的正凸变成负凸。convexity由正变负。

Angela · 2021年04月01日

老师,利率下降不是应该导致bond yield上升吗?我记得利率的变化和bond 吸引投资者的程度是相反的呀?

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