Bond Rates Question

Monetary Policy class homework…I know one period arthmitec but not several unless prices are included. It falls in the yield curve chapter.

Suppose that bonds with no default risk have the following spot yields:
a. A 1-year bond yields 6%
b. A 2-year bond yields 7%
c. A 3-year bond yields 8%
d. A 4-year bond yields 9%
What are the implied forward (or expected) rates for the third and fourth year? (Hint: You have to
solve sequentially for it+1e , it+2e, it+3e , it+4e ,etc.)

Thanks in advance