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Western Bank has assets of $189 million and liabilities of $154 million. The asset duration is 5.2 years and the duration of the liabilities is 3.2 years. Market interest rates are 10 per cent. Western Bank wishes to hedge the balance sheet with bank accepted bill futures contracts with a market value of $96 per $100 of face value. How many contracts would be necessary if the relationship of the price sensitivity of futures contracts to the price sensitivity of underlying bonds were br = 0.92?
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