Using the balance sheet below for a financial institution, and the duration of asset is 3.5 years, the duration of liabilities .5 years. Assets Reserves T-bills Mortgages Liabilities 5 m Money Market Deposits 5 m 50 m 1-year CDs 85 m 40 m Capital 10 m 5 m Commercial Loans What is the Duration Gap of this company? greater than 3 years 3 years O less than 3 years
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- Given the following information, calculate the duration of assets and liabilities. Assets Amount Rate Duration Cash 90 Loans 800 12% 2 years Treasuries 110 9% 8 years Liabilities and Equity Time deposits 500 6% 1.75 years CDs 425 8% 2.50 years Equity 75Use the balance sheet of a bank below to answer the following. The duration of asset is 1.5 years, the duration of liabilities 2 years. Assets Liabilities Required Reserves 8 m Money Market Deposits 50 m Excess Reserves 7 m 3-year CDs 60 m T-bills 85 m Capital 10 m Mortgages 15m Commercial paper 5m What happens to the value of liability if the interest rate goes down by 1%? up by 2% down by 2% O down by 1.36% O up by 1.36%A bank makes an amortizing loan of $200,000 with a maturity of 8 years and equal payments every year. What is the principal outstanding at the end of year 6 if the interest rate is 6%? A $27,041.78 B $30,384.41 C $59,048.42 D $86,092.20
- Balance Sheet (dollars in thousands) and Duration (in years) Duration AmountT-bills. 0.5 $ 90T-notes 0.9 55T-bonds 4.393 176Loans 7 2,724Deposits. 1 2,092Fed. funds 0.01 238Equity 715What is the average duration of all the assets? What is the average duration of all the liabilities? What is the FI’s leverage-adjusted duration gap? What is the FI’s interest rate risk exposure? If the entire yield curve shifted upward 0.5 percent (i.e., ΔR/(1 + R) = 0.0050), what is the impact on the FI’s market value of equity? If the entire yield curve shifted downward 0.25 percent (i.e., ΔR/(1 + R) = −0.0025), what is the impact on the FI’s market value of equity?Use the following to answer questions 3-4: Use balance sheet available for an FI (all in market values). Consumer loans $150 m Liabilities $300 m Commercial Loans $250 m Equity $100 m Total Assets $400 m Total Liabilities & Equity $400 m The average duration of the loans is 8 years. The average duration of the liabilities is 2 years. 3. What is the duration gap of the bank's portfolio? A. 10 years B. 6.3 years C. 6.5 years D. 7.98 years E. 8.0 years 4. What is the change in the value of the FI's equity for a 1 percent increase in interest rates from the current rates of 0.07 (1.e., 7 percent)? Assume flat term structure, and parallel shifts in yield curves. Use the duration concept. A. $17.30987 m B. $19.51818 m C. -S 22.59093 m D. -$23.11114 m E. - $24.29906 mQ. A bank has a duration of assets of 2.4 years and a duration of liabilities of 0.9 years. The bank has total equity of $82 million and total assets of $850 million. What is the bank's duration gap in years? Given the information from the previous question, what duration of liabilities would be necessary to achieve a duration gap to zero?
- Hi, below is an attached photo of the question. Please show explanation of calculations. Thankyou.Subject:- financeIn the following balance sheet, Loan A(8%, 3 year)= $150 Deposit A(5%, 2 years)=$250Loan B(11%, 4 years)= $200 Deposit B(7%, 3 year)= $100Total Assets = $350 Total Liabilities = $350The GAP 3 yr=-200 if all interest rates decrease by 3%, net impact on net interest income (ΔNII) is a. +$6 b. +$7 c. +$8 d. +$9
- FRM. (Term=30 years, Note Rate = 5.25, Loan Amount = 800,000, Points=2) What is the FTL annual percentage rate (FTLAPR) that the lender must disclose to the borrower? O 5.375% ○ 4.750% O 4.875% O 7.000% O 6.905% O 7.011%What is the weighted average duration assets?You have taken out a $7,500,000 loan with a 4% interest rate, 30 year amortization and ten year term. What is the loan balance after the final loan payment? a. $0 b. $7,390,303 c. Cannot determine with information provided d. $5,908,797