8- The following term structure is given as effective annual rates of interest on zero coupon bonds: 1-year maturity: 6%, 2-year maturity: 7%, 3-year maturity: 9%. (a) Find the 1-year forward effective annual interest rate for a 1-year period, f[1,2] and find the 2-year forward effective annual interest rate for a 1-year period, f[2,3]. (b) The effective annual rate of interest for a 4-year zero coupon bond is r4. Find the minimum value of r4 needed so that f[3,4] = f[2,3], where f[3,4] is the 3-year forward effective annual interest rate for a 1-year period and f[2,3] is found in part (a). 8- The following term structure is given as effective annual rates of interest on zero coupon bonds: 1-year maturity: 6%, 2-year maturity: 7%, 3-year maturity: 9%. (a) Find the 1-year forward effective annual interest rate for a 1-year period, f[1,2] and find the 2-year forward effective annual interest rate for a 1-year period, f[2,3]. (b) The effective annual rate of interest for a 4-year zero coupon bond is r4. Find the minimum value of r4 needed so that f[3,4] = f[2,3], where f[3,4] is the 3-year forward effective annual interest rate for a 1-year period and f[2,3] is found in part (a)