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pumi · 2023年11月03日

怎么理解the one exhibiting the highest level of positive convexity?

NO.PZ2022061303000054

问题如下:

For bonds that are otherwise identical, the one exhibiting the highest level of positive convexity is most likely the one that is:

选项:

A.callable. B.option-free. C.putable.

解释:

C is correct. When interest rates rise, a putable bond is more likely to be put back to the issuer by the investor, limiting the loss of value and giving the bond more positive convexity than an option-free bond. In contrast, a callable bond is likely to be called from the investor when interest rates fall, limiting the gain in value and giving the bond negative convexity.

A is incorrect because a callable bond exhibits negative convexity.

B is incorrect because an option-free bond exhibits less positive convexity than a putable bond.

考点:Effective Duration & Effective Convexity

解析:当利率上升时,债券持有人容易行权,将债券提前以约定好的价格卖还给发行人,因此在利率上升的时候会有一个价格下限。由于价格跌不下去,所以putable bond会呈现出more convex的特征。

我理解的是限制了收益曲线的最高点,所以是call option

1 个答案

吴昊_品职助教 · 2023年11月03日

嗨,努力学习的PZer你好:


the one exhibiting the highest level of positive convexity?理解为:哪一个会面临最高的正凸。

1、当利率上升的时候,putable bond相比其他债券,会呈现more convex的特点,所以最高的正凸是putable bond的特性。

2、当利率下降的时候,callable bond有一个价格的上限,价格会涨不上去,这就是你说的收益率曲线的高点,此时呈现的是负凸,也就是negative convexity。

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Frances · 2024年08月13日

Positive convexity,从公式角度,C=(Δp/p)/Δy²,要convexity为正,肯定是Δp为正,表示价格上升了,callable。为什么不对

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