NO.PZ2016031002000020
问题如下:
A $100 face value, 4% coupon rate, 10-year annual-pay bond has a YTM of 6%. If the YTM stays the same, how much will the value of the bond increase over the next two years?
选项:
A.$2.31.
B.$1.65.
C.$2.47.
解释:
A is correct.
N=10, FV=100, I/Y=6, PMT=4, CPT→PV= -85.27.
After two years, N=8, CPT→PV= -87.58.
The bond value will increase $2.31.
考点:Relationships Between Price and Time
解析:如果YTM保持不变,计算两年后价格上涨多少,即计算由于时间的变化(过了两年)带来的价格变化。第一步算出零时刻的债券价格为85.27,第二步算出两年后债券价格为87.58,两者做差即可,故选项A正确。
我们之前算full price的时候,都是先求0时刻债券价格,然后算过一段时间债券价格的时候,我们就用利率复利到那个时候