Suppose you are given the following information about four different, default-free bonds, each with a face value of $1,000. The coupon bonds have annual payments. The yield to maturity of bond A with a maturity of 1 year and a coupon rate of 0% is 2%. The yield to maturity of bond B with a maturity of 2 year and a coupon rate of 10% is 3.908%. The yield to maturity of bond C with a maturity of 3 year and a coupon rate of 6% is 5.840%. The yield to maturity of bond D with a maturity of 4 year and a coupon rate of 12% is 5.783%. Given this information, what is the price of a 2-year zero-coupon bond with a face value of $1,000?

Given this information what is the four-year spot rate?