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廖廖酱 · 2023年04月14日

关于A选项

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.

老师您好,关于A选项为什么是错的?effective duration 不是很理解,有点忘记duration是怎么计算了?

2 个答案
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pzqa31 · 2023年04月17日

嗨,从没放弃的小努力你好:


在利率下降,价格上升的时候,putable bond不太可能执行,就和不含权债券一样,并不会发生提前还款,所以平均还款期不会变化。

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努力的时光都是限量版,加油!

pzqa31 · 2023年04月15日

嗨,从没放弃的小努力你好:


同学,duration反映的是价格对利率变化的敏感程度,你可以结合一下讲义上面的这张图来理解,

这是putable bond的收益率价格曲线, duration就是曲线的斜率,在利率下降,价格上升的时候,putable bond不太可能执行,就和不含权债券一样,斜率上涨,duration 是上升的。

Effective duration是事后计算的Duration,是假设了利率变动,看看现金流如何变然后倒推算出来的Duration,对于含权债券,要使用effective duration。

Effective duration的公式为:

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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!

廖廖酱 · 2023年04月17日

老师请问a选项如果把duration从平均还款期来看的话要怎么解释?

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