The following is the book value of the assets of a bank: Asset Book Value (in millions) U.S. Treasury securities $ 50 Municipal general obligation bonds 50 Residential mortgages 400 Commercial loans 200 Total book value $700 a. Calculate the credit risk-weighted assets using the following information: Asset Risk Weight U.S. Treasury securities 0% Municipal general obligation bonds 20 Residential mortgages 50 Commercial loans 100 b. What is the minimum core capital requirement? What is the minimum total capital requirement?
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The following is the book value of the assets of a bank:
Asset |
Book Value (in millions) |
U.S. Treasury securities |
$ 50 |
Municipal general obligation bonds |
50 |
Residential mortgages |
400 |
Commercial loans |
200 |
Total book value |
$700 |
a. Calculate the credit risk-weighted assets using the following information:
Asset |
Risk Weight |
U.S. Treasury securities |
0% |
Municipal general obligation bonds |
20 |
Residential mortgages |
50 |
Commercial loans |
100 |
b. What is the minimum core capital requirement?
What is the minimum total capital requirement?
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Solved in 2 steps
- Consider the following bank balance sheet and the associated yields for earning assets and costs of liabilities. Assets Amount (000). Rate cash 400. 0% securitie 1600. 6.5% commercial loans 4000 9.0% credit card loans 3300. 10.0% loss reserves. 200 other assets 500 total assets. 10,000 Liabilities and equity Demand deposits. 1600 MMDAs. 3600 6.0% CDs. 2600 6.5% ST deposits. 1360. 5.0% Deferret tax credit. 200 Equity 640 total. 10000 Assume that net charge-offs $44,000 cash taxes paid $78,000 and allocated risk capital is $550,000 with a capital charge of 6 percent. determine : a) Calculate and show the bank income statement.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?Imagine that the banking system's balance sheet can be represented by the following t-account: Assets LIABILITIES AND NET WORTH RESERVES 200 DEPOSITS 2000 BONDS 800 LOANS 1000 NETWORTH 0 TOTAL 2000 TOTAL 2000 Assuming the bank is "loaned up" the required reserve ratio is ___________ (round to two decimal places) The money multiplier is ___________ Imagine that the central bank uses open market operations to buy $300 worth of bonds from the bank above. Fill in the following t-account assuming that the money multiplier has taken its full effect: ASSETS LIABILITIES AND NET WORTH RESERVES __?___ DEPOSITS ___?__ BONDS ____?___ LOANS ____?____ NET WORTH ___?___ TOTAL _____?______ TOTAL ___?___
- 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 4.562 12.02612yr bond bought at a yield of 4% (lending money)$800M 9.453 53.565 Liabilities Value Duration of the Liability Convexity of the Liability 2yr bond sold at a yield of 2.4% (borrowing money) $300M 1.941 2.384 4yr bond sold at a yield of 2.8% (borrowing money) $500M 3.759 8.206 Calculate the equityConsider a bank with the following balance sheet (M means million):Assets Value Duration of the Asset Convexity of the Asset 5yr bond bought at a yield of 3.4% (lending money) $550M 4.562 12.026 12yr bond bought at a yield of 4% (lending money) $800M 9.453 53.565 Liabilities Value Duration of the Liability Convexity of the Liability2yr bond sold at a yield of 2.4%(borrowing money) $300M 1.941 2.384 4yr 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 networth of the bank and the equity to asset ratioConsider a bank with the following balance sheet (M means million):Assets Value Duration of the Asset Convexity of the Asset 5yr bond bought at a yield of 3.4% (lending money) $550M 4.562 12.026 12yr bond bought at a yield of 4% (lending money) $800M 9.453 53.565 Liabilities Value Duration of the Liability Convexity of the Liability2yr bond sold at a yield of 2.4%(borrowing money) $300M 1.941 2.384 4yr bond sold at a yield of 2.8%(borrowing money) $500M 3.759 8.206 Calculate the duration and convexity of the both asset and liability sides;
- Consider a bank with the following balance sheet (M means million): Assets Value Duration of the Asset Convexity of the Asset 5yr bond bought at a yield of 3.4% (lending money) $550M 4.562 12.026 12yr bond bought at a yield of 4% (lending money) $800M 9.453 53.565 Liabilities Value Duration of the Liability Convexity of the Liability 2yr bond sold at a yield of 2.4% (borrowing money) $300M 1.941 2.384 4yr bond sold at a yield of 2.8% (borrowing money) $500M 3.759 8.206 Calculate the equity (total asset – total liability) to asset ratio of the bank Calculate the duration and convexity of the both asset and liability sides; 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…Consider a bank with the following balance sheet (M means million): Assets Value Duration of the Asset Convexity of the Asset 5yr bond bought at a yield of 3.4% (lending money) $550M 4.562 12.026 12yr bond bought at a yield of 4% (lending money) $800M 9.453 53.565 Liabilities Value Duration of the Liability Convexity of the Liability 2yr bond sold at a yield of 2.4% (borrowing money) $300M 1.941 2.384 4yr bond sold at a yield of 2.8% (borrowing money) $500M 3.759 8.206 In the scenario "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", 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 5yr bond bought at a yield of 3.4% (lending money) $550M 4.562 12.026 12yr bond bought at a yield of 4% (lending money) $800M 9.453 53.565 Liabilities Value Duration of the Liability Convexity of the Liability 2yr bond sold at a yield of 2.4% (borrowing money) $300M 1.941 2.384 4yr bond sold at a yield of 2.8% (borrowing money) $500M 3.759 8.206 Required 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) In c)’s scenario, to maintain the equity to asset ratio at 40% which is…
- Consider a bank with the following balance sheet (M means million): Assets Value Duration of the Asset Convexity of the Asset 5yr bond bought at a yield of 3.4% (lending money) $550M 4.562 12.026 12yr bond bought at a yield of 4% (lending money) $800M 9.453 53.565 Liabilities Value Duration of the Liability Convexity of the Liability 2yr bond sold at a yield of 2.4% (borrowing money) $300M 1.941 2.384 4yr bond sold at a yield of 2.8% (borrowing money) $500M 3.759 8.206 Required Please answer the Subparts D and E only. a) Calculate the equity (total asset – total liability) to asset ratio of the bank 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) In c)’s scenario, to maintain the…Consider a bank with the following balance sheet (M means million): Assets Value Duration of the Asset Convexity of the Asset 5yr bond bought at a yield of 3.4%(lending money) $550M 4.562 12.026 12yr bond bought at a yield of 4%(lending money) $800M 9.453 53.565 Liabilities Value Duration of the Liability Convexity of the Liability 2yr bond sold at a yield of 2.4%(borrowing money) $300M 1.941 2.384 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) 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…Consider a bank with the following balance sheet (M means million): Assets Value Duration of the Asset Convexity of the Asset 5yr bond bought at a yield of 3.4% (lending money) $550M 4.562 12.026 12yr bond bought at a yield of 4% (lending money) $800M 9.453 53.565 Liabilities Value Duration of the Liability Convexity of the Liability 2yr bond sold at a yield of 2.4% (borrowing money) $300M 1.941 2.384 4yr bond sold at a yield of 2.8% (borrowing money) $500M 3.759 8.206 A) 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 B) In A)’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? I would like for B to be solved, thank you.