NO.PZ2019070101000039
问题如下:
The current 1-year spot rate = 5%, the 1-year forward rate one year from today is 6.65%, the 1-year forward rate two years from today = 7.82%, 1-year forward rate three years from today is 8.45%. What's the price of a 4-year bond?The bond has a par value of 100 and has a coupon rate of 8% paid annually.
选项:
A.$101.211.
B.$98.987.
C.$103.875.
D.$105.245.
解释:
C is correct
考点:Forward Rate 计算
解析:
先计算spot rate:
S1=5%
S2=[(1.05)(1.0665)]1/2-1=5.82%
S3=[(1.05)(1.0665)(1.0782)]1/3-1=6.48%
S4=[(1.05)(1.0665)(1.0782)(1.0845)]1/4-1=6.97%
第二步,计算债券价格
8/(1.05)+8/(1.05*1.065)+8/(1.05*1.065*1.0782)+108/(1.05*1.0665*1.0782*1.0845%)