all rates are stated annually with semiannual compoundig

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.I gnore any possible transactions in the Repo Market.

                                                               Do you buy or sell contracts? 

a.       How many contracts would you buy or sell?