A 30-year maturity bond has an 8.5% coupon rate, paid annually. It sells today for $871.17. A 20-year maturity bond has an 8.0% coupon rate, also paid annually. It sells today for $894.50. A bond market analyst forecasts that in five years, 25-year maturity bonds will sell at yields to maturity of 9.5% and 15-year maturity bonds will sell at yields of 9.0%. Because the yield curve is upward sloping, the analyst believes that coupons will be invested in short-term securities at a rate of 7%.

a) Calculate the annualized expected rate of return of the 30-year bond over the 5-year period.

b) Calculate the annualized expected rate of return of the 20-year bond over the 5-year period.