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云烟2023 · 2021年08月08日

0.0419是哪来的?算出来的结果不是这个呀?

NO.PZ2020021204000019

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., estimate the price change if the annually compounded yield changes from 7% to 8.5%, using both the duration and the duration plus convexity approximations.

解释:

Using duration, the price change is

-2.5661 X 107.8729 X 0.015= -4.1522

Using duration and convexity, it is

-2.5661 X 107.8729 X 0.015 + (1/2) X 6.9020 X 107.8729 X 0.0152 = -4.0685

The actual bond price decline is 4.0419, showing that duration plus convexity gives a better estimate than convexity alone.

0.0419是哪来的?算出来的结果不是这个呀?
1 个答案
已采纳答案

品职答疑小助手雍 · 2021年08月08日

嗨,努力学习的PZer你好:


直接用7%和8.5%分别折现一次债券的现金流,得出的两个结果的差是4.0419。这个算是最精确的算法了。

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