Question
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.) |
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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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