NO.PZ2016022702000007
问题如下:
A one-year zero-coupon bond yields 4.0%. The two- and three-year zero-coupon bonds yield 5.0% and 6.0% respectively.
The five-year spot rate is not given above; however, the forward price for a two-year zero-coupon bond beginning in three years is known to be 0.8479. The price today of a five-year zero-coupon bond is closest to:
选项:
A.0.7119.
B.0.7835.
C.0.9524.
解释:
A is correct.
The forward pricing model can be used to find the price of the five-year zero as
P(T*+T)=P(T*)F(T*,T), SO P(5)=P(3)F(3,2)= 0.8396 x 0.8479 = 0.7119.
考点:forward pricing model
首先将即期利率转化成即期价格P(3)= 。通过forward pricing model得到五年期零息债券的价格,即P(T*+T)=P(T*)F(T*,T),所以P(5)=P(3)×F(3,2)=0.8396×0.8479=0.7119。
P(3)=1/[(1+S3)^3]=1/(1.06)^3=0.8396
为什么要这么算?
具体在哪个视频里有讲解?