NO.PZ2016031002000067
问题如下:
Ann wants to measure the relationship between bond price and yield for an option-free based on the duration. When the yield decreases, the estimation of price increment will be:
选项:
A.smaller.
B.larger.
C.either smaller or larger.
解释:
A is correct.
The relationship between bond price and yield for an option-free bond is convex while duration is a linear measurement. So the estimation of price increase just based on duration will be smaller than the actual price increase if the yield decreases.
考点:duration & convexity
解析:如果单考虑duration的影响,忽略了convexity的影响,那只是线性的影响。当利率下降时,债券价格的上涨幅度就没有那么多。故选项A正确。
如果把duration和convexity都考虑在内,存在涨多跌少,那么债券上涨的幅度相比只考虑duration更多。
很奇怪,如果是duration一阶导,那就是一条直线吧?价格不就是线性移动?这个更小是和什么比?和convexity比?题目里没有说啊