Problem 3 (15 points) Suppose the price of 1-year-maturity zero-coupon bonds with face value $1000 is $930 and the price of 2-year-maturity zero-coupon bonds with face value $1000 is $840. (a) Compute the forward rate in the second year. (b) Construct a forward interest rate contract using 1-year and 2-year zero coupon bonds at time t = 0 so that you can effectively borrow $1000 at time t = 1 at forward rate which you got in part(a). Detailed explanations required