Q#4. [20 Points] Suppose that all investors expect that interest rates for the 4 years will be as follows: Year Forward Interest Rate 0 5% (today) 1 7% 2 9% 3 10% a. What is the price of 3-year zero-coupon bond with a par value of $1,000? b. If you have just purchased a 4-year zero-coupon bond, what would be the expected rate of return on your investment in the first year if the implied forward rates stay the same? c. What is the price of a 2-year maturity bond with a 10% coupon rate paid annually? d. What is the yield to maturity of a 3-year zero-coupon bond