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chris2.0🔱 · 2020年07月12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.

1级和2级哪些知识点和图,请麻烦三个选项分别讲解下
1 个答案

吴昊_品职助教 · 2020年07月13日

同学你好:

债券2是callable bond,债券3是putable bond。现在利率下降,callable bond更容易行权,债券发行人会以提前约定好的call price将债券赎回。利率下降的时候,不含权债券或putable bond价格正常上涨,但是callable bond的价格涨不上去,会有一个上限,如下图显示。所以利率下降,债券3比债券2更有上升空间(upside potential),因此选项B正确。

选项A:Bond 3是一个putable bond,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。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。所以选项A说反了,故不正确。这道题A选项其实是比较putable bond在利率上升和利率下降两种情况下,债券duration的大小。

选项C:putable bond不会出现negative convexity。当利率下降的时候,convexity从正变为负,描述的是callable bond的特性而非putable bond,故选项C不正确。

下图来自一级固收基础班讲义P318页。

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