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.
选项:
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.
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