Consider two 30-year maturity bonds. Bond A has a coupon rate of 4%, while bond B has a coupon rate of 12%. Both bonds pay their coupons semiannually.

a. Compute the prices of the two bonds at each interest rate. (Round the bond price to 2 decimal places.)

b. Suppose Bond A is currently priced to offer a yield to maturity of 8%. Calculate the (percentage) capital gain or loss on the bond if its yield immediately changes to each value of yield to maturity. (Enter your answers as a percent rounded to the nearest whole percent.)

c. Suppose Bond B is currently priced to offer a yield to maturity of 8%. Calculate the (percentage) capital gain or loss on the bond if its yield immediately changes to each value of yield to maturity. (Enter your answers as a percent rounded to the nearest whole percent.)

d. Which bonds price exhibits greater proportional sensitivity to changes in its yield? In other words, which bond has greater interest rate risk?

e. Which bond pays a high coupon rate has lower average or effective maturity than a bond that pays a low coupon rate?