Question

A bank has $50 million in assets, $47 million in liabilities and $3 million in shareholders' equity. If the duration of its liabilities are 1.3 and the bank wants to immunize its net worth against interest rate risk and thus set the duration of equity equal to zero, it should select assets with an average duration of _________.

Answer 1

Answer: 1.222

Explanation:

The Average duration can be derived from the formula:

Assets * Average Duration = Liabilities * Duration of Liabilities

Average Duration = (Liabilities * Duration of Liabilities) / Assets

= (47,000,000 * 1.3) / 50,000,000

= 61,100,000 / 50,000,000

= 1.222