What is the optimal number of swap contracts into which the bank should enter?

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter8: Analysis Of Risk And Return
Section: Chapter Questions
Problem 9P
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A bank has assets of $500,000,000 and equity of $40,000,000. The assets have an average duration of 5.5 years, and the liabilities have an average duration of 2.5 years. An 8-year fixed-rate T-bond with the same coupon as the fixed-rate on the swap has a duration of 6 years, and the duration of a floating-rate bond that reprices annually is one year. The bank wishes to hedge its balance sheet with swap contracts that have notional contracts of $100,000. What is the optimal number of swap contracts into which the bank should enter?

   

2,500 contracts.

   

2,760 contracts.

   

13,800 contracts.

   

3,200 contracts.

   

None of the above.

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