问题如下:
Assuming there is a bond which annual modified duration is 8.05, the annual convexity is 58.32. What is the expected percentage price change if the bond’s yield-to-maturity increases by 20 basis points?
选项:
A.-1.54%
B.-1.57%
C.-1.60%
解释:
C is correct.
The bond’s convexity statistic is used to improve the estimate of the percentage price change provided by modified duration alone. According to the following formula, we can get the answer:
%△PVFull≈(−AnnModDur×△Yield)+[21×AnnConvexity×(△Yield)2]
%△PVFull≈(−8.05×0.0020)+[21×58.32×(0.0020)2]=−1.60%
这题不懂,可以解答一下吗?