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A bank with total assets of $271 million and equity of $31 million has a leverage adjusted duration gap of +0.21 years. Use the following

A bank with total assets of $271 million and equity of $31 million has a leverage adjusted duration gap of +0.21 years. Use the following quotation from the Wall Street Journal to construct an at-the-money futures option hedge of the bank's duration gap position.

TREASURY BILLS (IMM)-$1 million; 91-day ($25.28 ea.)

Strike Price

Calls-Settle

Puts-Settle

96.00

28 basis points

63 basis points

96.25

19 basis points

78 basis points

96.50

12 basis points

96 basis points

If 91-day Treasury bill rates increase from 3.75 percent to 4.75 percent, what will be the profit/loss per contract on the bank's futures option hedge? Show all work and discuss.

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