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huangme7 · 2024年04月08日

问题

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NO.PZ202403051000000301

问题如下:

Assuming Bond A is correctly priced and given the information in Exhibit 1, is Krishnan most likely correct that there is a mispricing?

选项:

A.

Yes, Bond C must be mispriced.

B.

Yes, Bond B must be mispriced.

C.

No, there is no evidence of a mispricing.

解释:

B is correct. All bonds have the same coupon rate and credit rating and approximately the same remaining maturity. The pricing of all three (below par), implies the coupon rate of a par bond with this credit rating and approximate maturity is higher than 7.0%. Bond A is not callable, while Bond B is callable and has a slightly longer maturity than Bond A. Both of these differences imply that Bond B’s price should be lower than Bond A’s, but it is higher.

A is incorrect because Bond A is option-free while Bond C is putable and has a slightly shorter maturity than Bond A. Both of the ways Bond C differs from Bond A would imply a higher price than Bond A, which it has. Therefore there is no evidence that Bond C is mispriced.

C is incorrect because either Bond A or Bond B must be mispriced, or possibly both.

没看懂解析“The pricing of all three (below par), implies the coupon rate of a par bond with this credit rating and approximate maturity is higher than 7.0%. Bond A is not callable, while Bond B is callable and has a slightly longer maturity than Bond A.”


然后文中说到从之前flat 到upward sloping, 那不是说利率上涨,那callable bond B maturity不是应该更短?


1 个答案

吴昊_品职助教 · 2024年04月08日

嗨,努力学习的PZer你好:


1、不用去看这个解析,mock的解析写的不好。这道题同时也被收录在经典题中,不妨可以听一下何老师的讲解。

2、表格中的前三行,就是想告诉我们这三个债券是相似的,有着相似的到期时间,相同的评级和相同的coupon rate。现在A债券是被正确定价的,Bond B是callable bond,内含一个对投资者不利的因素,应该比同等情况下的不含权债券更便宜,现在反而更贵了,说明Bond B肯定被错误定价。

Bond C是putable bond,内含一个对投资者有利的因素,应该比同等情况下的不含权债券更贵,Bond C可能是正确定价的。


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努力的时光都是限量版,加油!

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