Question 1: Village Bank has $240 million of assets with a duration of 14 years and liabilities worth $210 million with a duration of 4 years. In the interest of hedging interest rate risk, Village Bank is contemplating a macrohedge with interest rate futures contracts now selling for 102-21. If the spot and futures interest rates move together, how many futures contracts must Village Bank sell to fully hedge the balance sheet? Assume that the hedge uses T-bond futures having $100,000 face value with a duration of 9.0 years
Question 2: An FI holds a 15-year, $1,000,000 par value bond that is priced at 105 with a yield to maturity of 5.5 percent. The bond has a duration of 10.42 years, and the FI plans to sell it after two months. What is the current price of the bond?
Question 3. An FI holds a 15-year, $1,000,000 par value bond that is priced at 105 with a yield to maturity of 5.5 percent. The bond has a duration of 10.42 years, and the FI plans to sell it after two months. If interest rates increase to 6.5%, what is the change in price of the bond?
Question 4. Suppose the FI hedged its position by entering into a two-month forward contract to sell $1,000,000 par value of 15-year bonds at 105. If rates rise by 1 percent, how much will it make on the forward contract?