Duration Balance Sheet (Amount in millions, Duration in years) Assets Amount Duration Liabilities Amount Cash 60 Core Deposits 140 Treasury Bonds 100 3.00 yrs Euro CDs ? Loans (variable) 210 0.75 yrs Debentures 100 Loans (fixed) 130 3.25 yrs Equity 45 1.5 yrs 1.5 YI 3.0 v AR The ALCO committee believes that 0.01 would be a reasonable estimate of 1+R relevant interest rate movements. If the 90-day bank bill futures are quoted at 96.0 and there is no basis risk, calculate the number of future contracts to macro-hedge the bank's balance sheet. Show all calculations and specifically state whether a short or long position is recommended. Duration Balance Sheet (Amount in millions, Duration in years) Assets Amount Duration Liabilities Amount Cash 60 Core Deposits 140 Treasury Bonds 100 3.00 yrs Euro CDs ? Loans (variable) 210 0.75 yrs Debentures 100 Loans (fixed) 130 3.25 yrs Equity 45 1.5 yrs 1.5 YI 3.0 v AR The ALCO committee believes that 0.01 would be a reasonable estimate of 1+R relevant interest rate movements. If the 90-day bank bill futures are quoted at 96.0 and there is no basis risk, calculate the number of future contracts to macro-hedge the bank's balance sheet. Show all calculations and specifically state whether a short or long position is recommended