Risk-free zero-coupon government bonds have the following terms and yields to maturity Term to Maturity 1 year 2 years 3 years 4 years 5 years Yield to Maturity 3.0% 4.0% 5.0% 4.5% 4.0% (a.) Find the market prices for each of the bonds given a par value of $1000. (b.) Calculate the implied forward rates for all five years. (c.) Draw the yield curve and the forward rate curve in one diagram. Discuss the shape of the yield curve. (d.) Under the liquidity preference hypothesis of the term structure, suppose that liquidity premiums are expected to remain constant at 1%. What are the expected short rates in year 2 to year 5.