Bond pricing and risk

A 2-year corporate bond has a coupon rate of 4 percent. The 1-year spot rate is 3 percent and the forward rate is 5 percent. The bond's credit spread is 1 percent for both the one-year and the two-year maturities.

a. What is the price of the bond expressed as a percentage of its face value? b. What is the bond's yield to maturity? c. What is the bond price calculated with the bond's yield to maturity? d. Calculate the bond duration first with the duration equation and then with duration as the weighted average maturity of the bond cash flow. f. What would be the maturity of a zero-coupon bond with the same interest-rate risk as the 2-year corporate bond assuming that the two bonds have the same credit risk? g. Calculate the percentage change in the bond price if the yield rises by 20 basis points. h. Calculate the percentage change in the bond price if the yield rises by 20 basis points using the bond duration and compare your answer to that in the previous question.