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Daenerys · 2021年03月15日

解析里面的B:effective duration of a putable bond increases,为什么会increase,可以理解不decrease,不理解为什么increase

NO.PZ2018123101000104

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.

effective duration of a putable bond increases,为什么会increase,可以理解不decrease,不理解为什么increase

2 个答案

WallE_品职答疑助手 · 2021年03月16日

嗨,爱思考的PZer你好:


利率上升effective duration会下降


所以这个increase是相对于利率上升时候的increase

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

WallE_品职答疑助手 · 2021年03月15日

嗨,从没放弃的小努力你好:


同学您好,


它这里的A选项比较的是putable bond在利率上升和利率下降两种情况下,债券duration的大小。


当利率下降的时候,putable bond就更像是一个不含权债券,债券持有人不会执行权利。和利率上升比,此时的effective duration更长。

在利率上升的时候,债券持有人可以将债券提前卖还给发行人,由于提前结束现金流,此时平均还款期短,effective duration会下降。

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努力的时光都是限量版,加油!

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