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# Bond pricing, hedging using futures and forward, duration

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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

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?

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?

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?

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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

Assets=A= \$240 million
Liabilities=L= \$210 million
k= Liabilities/ Assets= 0.875 =210/240
DA= 14 years
DL= 4 years
DF= 9 years

Because DA ...

#### Solution Summary

Answers questions on Bond pricing, yield to maturity, duration, hedging using futures and forward contracts.

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