Chicago Bank and Trust has $100 million in assets and $83 million in liabilities. The duration of

Question:

Chicago Bank and Trust has $100 million in assets and $83 million in liabilities. The duration of the assets is 5.9 years, and the duration of the liabilities is 1.8 years. How many futures contracts does this bank need to fully hedge itself against interest-rate risk? The available Treasury bond futures contracts have a duration of 10 years, a face value of $1,000,000, and are selling for $979,000.

Face Value
Face value is a financial term used to describe the nominal or dollar value of a security, as stated by its issuer. For stocks, the face value is the original cost of the stock, as listed on the certificate. For bonds, it is the amount paid to the...