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Captain America · 2023年06月03日

请问A选项哪里错了?

NO.PZ2016031002000045

问题如下:

What's the reason for effective duration is a more appropriate estimation for interest rate risk than modified duration for a bond with embedded options?

选项:

A.

Because the bond with embedded options exhibits high convexity.

B.

Because the bond with embedded options tends to have greater credit risk than option-free bonds.

C.

Because the option-embedded bond has uncertain cash flows and the cash flows depend on future interest rates.

解释:

C is correct.

The uncertain cash flows of an option-embedded bond, which depend on the path of interest rate changes, is the reason why effective duration must be used.

考点:duration

解析:含权债券只能用effective duration来衡量,是因为含权债券的现金流是不确定的。现金流会受到未来利率变化的影响。比如:利率下降了,callable bond的发行人可能会提前赎回债券,以一个更低的利率重新发行债券进行再融资,从而降低融资成本。一旦债券被提前赎回,那债券的现金流就发生了变化。正因为现金流的不确定性,导致无法用modified duration,只能用站在事后观察到的价格变化来反推effective duration。故选项C正确。

请问A选项哪里错了?不论是买权还是卖权都是因为价格和收益率曲线是凸向原点的曲线,导致价格涨不上去跌不下去的不就是convexity的性质吗?

1 个答案

吴昊_品职助教 · 2023年06月03日

嗨,爱思考的PZer你好:


1、What's the reason for effective duration is a more appropriate estimation for interest rate risk than modified duration for a bond with embedded options?

题干问的是,为啥要选择effective duration,而不选择modified duration,来衡量含权债券的利率风险。也就是在面对含权债券的时候,这两个duration之间的区别。和convexity没有关联。

2、由于含权债券,未来现金流是不确定的,所以我们没有办法用modified duration来衡量利率风险,只能用effective duration来衡量。所以选择的是C。

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