Suppose that one-year zero-coupon US Treasury bonds with a $10,000 face value are currently selling for $9,852. Similarly zero-coupon Treasuries with two years to maturity are selling for $9,481 and those with five years to maturity are selling for $8,339.

a. What are the yields on these three bonds?

b. Following three months of very good economic news, the yields on 1-year, 2-year, and 5-year bonds have risen to 2.7%, 3.8%, and 4.5% respectively. If the Treasury were looking to issue new zero-coupon, $10,000 face value bonds with 1, 2, and 5 year maturities, at what prices would you expect them to sell for?

c. Suppose that I wanted to lock in the interest rate on a loan that I would enter one year from now that I would repay five years from now. Based upon prevailing rates in the treasury market, what interest rate could I lock in now on such a loan? Assume that there is no default risk on your loan