All rates are stated annually with semiannual compounding

Question

1 Assume the following (all rates are stated annually with semiannual compounding)

a. Six Month Spot Rate is 2%

b. Six Month Forward rate starting at month six is 2.2%

c. Six Month Forward rate starting at month 12 is 2.4%

d. Six Month Forward rate starting at month 18 is 2.5%

Then find the price of a two year treasury note with a coupon rate of 4% 

2 Assume that you purchase a bond with a 5% annual coupon (paid semiannually) and exactly ten years to maturity.The yield is 4.5% (stated annually with semiannual compounding).After six months, the yield of the bond is 4.3%. What is the Total Return for the holding period?

3 Suppose that your trading desk bought $96,000,000 face value of the one-year 5.00% coupon bond.  Assume that the bond is priced at Par.  You want to hedge the interest rate risk with T-Bill futures until you can cover the position by buying in the market place. One T-Bill Futures Contract will pay the long position $25 for every one basis point drop in T-Bill rates. Ignore any possible transactions in the Repo Market.

a. Do you buy or sell contracts?

b. How many contracts would you buy or sell?