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?