Eagle Bank has the following interest-sensitive assets and interest-sensitive liabilities. Amount maturing in 30 days (million) Amount maturing in 30 days (million) 810 570 63 330 116 Interest-sensitive assets Loans Securities Interest rate on interest-sensitive assets is 5% Interest rate on interest-sensitive liabilities is 3% Interest-sensitive liabilities Savings deposits Time deposits Money market The interest rate is expected to rise 1% (for both interest-sensitive assets and liabilities) 30 days later. Will Eagle Bank benefit from the interest rate rise? Explain your answer. Show your calculations.
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- Consider the following balance sheet Expected Balance Sheet for XYZ Bank Assets Yield Liabilities Cost Rate sensitive $ 1300 8% %$4 1700 8% Fixed rate $500 9% $1500 5% Non earning $ 5100 $. 1800 Equity 1900 Total $ 6900 $6900 What is the Net Interest Margin (NIM)41. After conducting a rate-sensitive analysis, a bank finds itself with the following amounts of rate-sensitive assets and liabilities (RSAS and RSL) and fixed-rate assets and liabilities (FRAs and FRLs); the rate of return and cost rates on the accounts are also given: Assets RSAS @ 4.25% FRAS @ 5.15% NEA Total Amount (Million $) S 322 S 700 S 120 $1,142 Liabilities & Equity RSLS @ 3.11% FRLS @ 4.95% Equity Total If the bank wishes to set up a swap to totally hedge the interest rate risk, the bank should A. pay a variable rate of interest and receive a fixed rate of interest. B. pay a fixed rate of interest and receive a variable rate of interest. Amount (Million $) S 200 $ 800 S 142 $1,142 C. pay a variable rate of interest and receive a variable rate of interest. D. pay a fixed rate of interest and receive a fixed rate of interest.II. Complete the table by finding the maturity value. Time (t) Maturity Value (A) Principal (P) Interest Rate (r) 6% 9 mo. P35,600 10% 15 mo. P140,250 P75,800 8 %% 2 yr. P340,200 11% 6 yr. P1,400,500 9% 10 yr.
- Find the amount (in $) of interest and the maturity value of the loans. Use the formula MV = P + I to find the maturity value. Principal Rate (%) Time Interest Maturity Value $97,000 8 1 4 4 1 2 years $ $Assume you have the following asset and liability in your balance sheet Asset - Bond AModified Duration = 1.5 yearsValue = RM1 million Liability - Bond BModified Duration 2.6 yearsValue = RM2 million a. Calculate the duration gaps?b. What is the expected change in Net worth if interest increases by 1%?c. What should or could you to achieve immunised balance sheet?Consider a bank with the following balance sheet (M means million): Assets Value Duration of the Asset Convexity of the Asset5yr bond bought at a yield of 3.4% (lending money) $550M 4.56212.02612yr bond bought at a yield of 4% (lending money) $800M 9.45353.565 Liabilities Value Duration of the Liability Convexity of the Liability2yr bond sold at a yield of 2.4% (borrowing money) $300M 1.941 2.3844yr bond sold at a yield of 2.8% (borrowing money) $500M 3.759 8.206 If the interest rates go up by 1%, using the duration and convexity rule to determine the net worth of the bank and the equity to asset ratio In c)’s scenario, to maintain the equity to asset ratio at 40% which is required by the regulation, the bank decides to raise cash (zero duration and zero convexity) from the equity holders. How much cash does the bank need to raise?
- Consider a bank with the following balance sheet (M means million): Assets Value Duration of the Asset Convexity of the Asset Syr bond bought at a yield of 3.4% $55OM (lending money) 4.562 12.026 12yr bond bought at a yield of 4% (lending money) $80OM 9.453 53.565 Liabilities Value Duration of the Liability Convexity of the Liability Zyr bond sold at a yield of 2.4% (borrowing money) 4yr bond sold at a yield of 2.8% (borrowing money) $300M 1.941 2.384 $500M 3.759 8.206 a) Calculate the equity (total asset- total liability) to asset ratio of the bank (Hint: equity to asset ratio = total equity/total asset) b) Calculate the duration and convexity of the both asset and liability sides; ( c) If the interest rates go up by 1%, using the duration and convexity rule to determine the net worth of the bank and the equity to asset ratic d) Incys scenario, to maintain the equity to asset ratio at 40% which is required by the regulation, the bank decides to raise cash (zero duration and zero…The principal P is borrowed at simple interest rate r for a period of time t. Find the loan's future value, A, or the total amount due at time t. P=$4000, r= 7.5%, t= 9 months The future value is $ (Simplify your answer. Type an integer or a decimal.)3. 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 $185,000 14 1 2 5 months $ $
- Assume you have the following asset and liability in your Balance Sheet:Asset - Bond AModified Duration = 2.6 yearsValue= RM1.5 millionAAFARLiability - Bond BModified Duration = 3.1 yearsValue= RM1.0 milliona. Calculate the duration gap. b. What is the expected change in Net Worth if interest increases by 1%?attachment. calculation step by stepConsider a bank with the following balance sheet (M means million): Assets Value Duration of the Asset Convexity of the Asset $550M 12.026 Syr bond bought at a yield of 3.4% (lending money) 4.562 12yr bond bought at a yield of 4% $800M 9.453 53.565 (lending money) Value Duration of the Liability Convexity of the Liability Liabilities Zyr bond sold at a yield of 2.4% $300M 1.941 2.384 (borrowing money) 4yr bond sold at a yield of 2.8% (borrowing money) $500M 3.759 8.206 a) Calculate the equity (total asset - total liability) to asset ratio of the bank (Hint: equity to asset ratio = total equity/total asset) ( b) Calculate the duration and convexity of the both asset and liability sides; c) If the interest rates go up by 1%, using the duration and convexity rule to determine the net worth of the bank and the equity to asset ratio; d) Inc's scenario, to maintain the equity to asset ratio at 40% which is required by the regulation, the bank decides to raise cash (zero duration and zero…For the follwing case, determine the number of years it wll take for the intitial deposit to grow to equal the future amount the given interest rate. Initial Deposit Future Amount Interest Rate $9,998 $18,400 17%