Week 3: duration and bank value (slides exercise). Part I: Bank ABC has the following 2 bond-like loans: Loan 1: $1m loan fixed for 3 years at 10% Loan 2: $1m loan fixed for 5 years at 12% I.a) The market interest rate is now at 5%. The duration of the bank's loan portfolio is years. (4 d.p., use spreadsheet to do calculation) 1.b) If the market interest rate increases by 1% now, the percentage change of the present value of the portfolio would be percent. (2 d.p.) ABC has $1.5m of liabilities (at market value) with a duration of 2.68 years. The value of the bank change due to the change in interest rate would be $. thousand. (2 d.p.)
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- Finding the Interest Rate: Concept Connection Example 6-3 (page 237) 18. What interest rates are implied by the following lending arrangements? a. You borrow $500 and repay $555 in one year. b. You lend $1,850 and are repaid $2,078.66 in two years. c. You lend $750 and are repaid $1,114.46 in five years with quarterly compounding. d. You borrow $12,500 and repay $21,364.24 in three years under monthly compounding. (Note. In parts c and d, be sure to give your answer as the annual nominal rate.) Lasher, William R.. Practical Financial Management (Page 276). South-Western College Pub. Kindle Edition.Find the amount (in of interest and the maturity value of the loans. Use the formula MV = P + I to find the maturity value. (Round your answers to two decimal places.) Principal Rate (%) Time $145,000 14/12/2 Need Help? Submit Answer Read It 8 months Interest Enter a number. Maturity Value LA XYou are told that a note has repayment terms of $1,700 per quarter for 6 years, with a stated interest rate of 8%. How much of the total payment is for principal, and how much is for interest? Calculate using (a) financial calculator or (b) Excel function PV. (Round answers to 2 decimal places, eg. 5,275.25.) Total payment for principal Total interest Determine if the total interest will be higher or lower than with an annual payment. The total interest will be than with an annual payment.
- rive loan is below. Payments of $1,987.26 are made monthly. Payment # Payment 1 1,987.26 2 1,987.26 3 1,987.26 Interest Debt Payment Balance 1,604.17 383.09 1,602.41 384.85 1,600.65 386.61 Provide your answer below: X Y Z Calculate the value of z, the balance of the loan at the end of month 3. Give your answer to the nearest dollar. Do not include commas or the dollar sign in your answer.Find the amount (in $) of interest and the maturity value of the loans. Use the formula MV = P + I to find the maturity value. (Round your answers to two decimal places.) Principal Rate (%) Maturity Value $145,000 15-/1/2 Time 8 months $ Interest $sanjay
- Find the amount (in $) of interest and the maturity value of the loans. Use the formula MV = P + I to find the maturity value. (Round your answers to two decimal places.) Principal Rate (%) Time Interest Maturity Value $145,000 15 1 2 8 monthsa. Use the appropriate formula to determine the periodic deposit. b. How much of the financial goal comes from deposits and how much comes from interest? Periodic Deposit Rate $? at the end of each month 3.5% compounded monthly Click the icon to view some finance formulas. a. The periodic deposit is $. (Do not round until the final answer. Then round up to the nearest dollar as needed.) Formulas b. S of the $220,000 comes from deposits and S comes from interest. (Use the answer from part (a) to find these answers. Round to the nearest dollar as needed.) A= In the provided formulas, P is the deposit made at the end of each compounding period, r is the annual interest rate of the annuity in decimal form, n is the number of compounding periods per year, and A is the value of the annuity after t years. P[(1+r)²-1] T Time 10 years A= nt P= Financial Goal $220,000 响 nt [(¹-3) - X SEXa. Use the appropriate formula to determine the periodic deposit. b. How much of the financial goal comes from deposits and how much comes from interest? Periodic Deposit Rate $? at the end of each month 5.5% compounded monthly Click the icon to view some finance formulas. Time 11 years b. $ of the $200,000 comes from deposits and (Use the answer from part (a) to find these answers. Financial Goal $200,000 a. The periodic deposit is S (Do not round until the final answer. Then round up to the nearest dollar as needed.) 2 comes from interest. Round to the nearest dollar as needed.)
- 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%?a. Use the appropriate formula to determine the periodic deposit. b. How much of the financial goal comes from deposits and how much comes from interest? Periodic Deposit Rate $? at the end of each month 3.5% compounded monthly i Click the icon to view some finance formulas. Time 14 years Financial Goal $180,000 a. The periodic deposit is $ (Do not round until the final answer. Then round up to the nearest dollar as needed.) b. $ of the $180,000 comes from deposits and $ comes from interest. (Use the answer from part (a) to find these answers. Round to the nearest dollar as needed.)Subject:- finance