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李晨 · 2020年11月14日

问一道题:NO.PZ2020021204000018

问题如下:

A three-year bond with a face value of USD 100 pays coupons annually at the rate of 10% per year. Its yield is 7% with annual compounding. What are (a) the Macaulay duration, (b) the convexity, (c) the modified duration, and (d) the modified convexity?

选项:

解释:

The Macaulay duration is 2.7458, the convexity is 7.9021,

and the modified duration is

2.7458 / 1.07 = 2.5661

The modified convexity is

7.9021/1.072 = 6.9020

convexity 得出的结果是9.287


想问下是否按照yield +/- 1%对应的V(-)和V(+), 然后套convexity 公式?change of yield = 1%?

1 个答案

品职答疑小助手雍 · 2020年11月14日

嗨,爱思考的PZer你好:


不算是的,你算麦考林久期的时候不是算了每个现金流的weight了嘛~,用这3个weight乘以三个时间的平方(也就是1,4,9)再相加就得到convexity了。然后用这个convexity除以(1+7%)的平方就得到modified convexity了~


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