Using the balance sheet below for a financial institution, and the duration of asset is 3.5 years,the duration of liabilities .5 years.AssetsReservesT-billsMortgagesLiabilities5 mMoney Market Deposits 5 m50 m1-year CDs85 m40 mCapital10 m5 mCommercial LoansWhat is the Duration Gap of this company?greater than 3 years3 yearsO less than 3 years

Now, we can calculate the duration gap:Duration Gap = WAD_Assets - WAD_LiabilitiesDuration Gap =…

Answered: Using the balance sheet below for a…

Intermediate Accounting: Reporting And Analysis

3rd Edition

ISBN:9781337788281

Author:James M. Wahlen, Jefferson P. Jones, Donald Pagach

Publisher:James M. Wahlen, Jefferson P. Jones, Donald Pagach

ChapterM: Time Value Of Money Module

Section: Chapter Questions

Problem 2MC

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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 75
Use 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%
Consider the following Balance Sheet for Forward Thinking Commercial Bank(FTCB) (in millions) ASSETS LIABILITIES Floating rate mortgages 250 Demand deposits 300 (currently 14% annually) (currently 5% annually) 30 years fixed rate loans 1 year CD 50 (currently 9% annually) 120 (currently 8% annually) Equity 20 370 370 a. What is FTCB expected net interest income (NII) at year end? b. What is FTCB expected net interest income at year end if interest rates fell by seven percent (7%). c. What is FTCB expected net interest income at year end if interest rates grew by 300 basis points on assets, but decline by 2% on liabilities.
Assume a bank has the following balance sheet. Determine the 2-year GAP. AssetAmount LiabilityAmountCash$100 90-day CDs$1006-month Gbonds$400 360-day CDs$200 2-yearcommercialloans$400 Time Deposits 2- year $900 5-year fixedrate loans$500 Stockholder’s equity$200 Total$1,400 Total$1,400 GAP = (RSA2 yr – RSL2 yr) 0 -$100 -$200 -$300 -$800
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?
Consider the following Balance Sheet for Cutting Edge Commercial Bank(CECB) (in millions) ASSETS LIABILITIES Floating rate mortgages 120 Demand deposits 110 (currently 14% annually) (currently 5% annually) 30 years fixed rate loans 1 year CD 50 (currently 9% annually) 80 (currently 8% annually) Equity 40 200 200 1. What is CECB expected net interest income (NII) at year-end? 2. What is CECB expected net interest income at year end if interest rates fell by seven percent (7%). 3. What is CECB expected net interest income at year end if interest rates grew by 300 basis points on assets, but decline by 2% on liabilities.
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
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 m
Assume a bank has the following (very simplified) balance sheet. 1)Assets Mortgages Fixed rate, 15 year, annual payments, both the coupon rate and yield-to-maturity are 8% Floating rate, 15 year, rate: LIBOR + 2%, (duration = 0) 2)Liabilities Overnight deposits, rate: 0.6%, (duration = 0) 2 year CD, rate: 2%, assume it is a zero coupon 3 year CD, rate: 4%, assume it is a zero coupon 3) Assignment: Calculate weights which will immunize the portfolio. Note this is a set of weights, there is not one unique solution. You don't have to calculate the full set, just some set of weights which immunizes the portfolio. Now say you can only invest 50% of your assets in floating rate mortgages. What is the minimum amount of interest rate risk you can have? What will happen to the value of your portfolio if interest rates increase by 1%?
Consider the following Balance Sheet for Forward Thinking CommercialBank(FTCB) (in millions) Assets Liabilities Floating rate mortgages (currently 14% annually) 250 Demand deposits (currently 5% annually) 300 30 years fixed rate loans 120 1 year CD (currently 8% annually) 50 Equity 20 370 370 a. What is FTCB expected net interest income (NII) at year end? b. What is FTCB expected net interest income at year end if interest rates fell by seven percent (7%). c. What is FTCB expected net interest income at year end if interest rates grew by 300 basis points on assets, but decline by 2% on liabilities.
Q. 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?
. Estimate the duration of Loan MBank Balance SheetCash = $ 50Loan M (7%, 6 years) = $200Deposit N (3 years, 2%) = $ 200Equity = $ 50Total Assets = $250Total Liabilities = $ 250 a. 3.1 years b. 4.1 years c. 5.1 years d. 6.1 years

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