Bond Duration of the Asset Convexity of the Asset 12.026 Assets 5yr bond bought at a yield of 3.4% | $550M |(lending money) 12yr bond bought at a yield of 4% (lending money) Value 4.562 $800M 9.453 53.565 Duration of the Liability 1.941 Convexity of the Liability 2.384 Liabilities Value 2yr bond sold at a yield of 2.4% (borrowing money) 4yr bond sold at a yield of 2.8% (borrowing money) $300M $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) %3D b) Calculate the duration and convexity of the both asset and liability sides

Bond Duration of the Asset Convexity of the Asset 12.026 Assets 5yr bond bought at a yield of 3.4% | $550M |(lending money) 12yr bond bought at a yield of 4% (lending money) Value 4.562 $800M 9.453 53.565 Duration of the Liability 1.941 Convexity of the Liability 2.384 Liabilities Value 2yr bond sold at a yield of 2.4% (borrowing money) 4yr bond sold at a yield of 2.8% (borrowing money) $300M $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) %3D b) Calculate the duration and convexity of the both asset and liability sides

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Can you pleas provide clear answers for B, convexity and duration.Thank you for your time. Question 3. Bond 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 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;
Could you also include the formula that you use when working out the calculation, for example part A asks the new bond value, could you include a formula to show how this is calculated 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) 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; (Hint: equity to asset ratio = total equity/total asset) b) In a)’s scenario, to maintain the equity to asset…
Assume there are five default-free bonds with the following cash flows: Bond Price today Cash Flows Year 1 $50 $200 A $48 $1265 BCDE Year 2 $94.5 $45.5 $912 $1200 $100 $50 $50 Assume that you are financially constrained and can use up to $1300 to invest initially. The arbitrage profit you can make by trading those bonds is the closest to: Year 3 A) $94 B) $33 C) Cannot be calculated on the basis of this information D) $61 Year 4 $50 $50 $1050 O,
What is assumed the be the face value aka par value aka principal aka loan amount of a bond? It's also assumed to be a bond's FV. 10% $0 $100 $1,000
Question 3. Bond Consider a bank with the following balance sheet (M means million): Assets 5yr bond bought at a yield of 3.4% (lending money) 12yr bond bought at a yield of 4% (lending money) Liabilities 2yr bond sold at a yield of 2.4% (borrowing money) 4yr bond sold at a yield of 2.8% (borrowing money) Value $550M $800M Duration of the Asset 4.562 9.453 Convexity of the Asset 12.026 53.565 Convexity of the Liability 2.384 8.206 Value$300M 1.941 Duration of the Liability $500M 3.759 1) 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 2）In 1）‘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? 3）Do you agree with the following statement? Explain why. “The information about a bond’s…
financial risk management Assume you have the following asset and liability in your Balance Sheet:Asset - Bond AModified Duration = 2.6 yearsValue= RM1.5 millionLiability - Bond BModified Duration = 3.1 yearsValue= RM1.0 million a. Calculate the duration gap.
2. Bond A B C D A commercial bank has the following bond investments: Face Value 1,500,000 2,250,000 1,050,000 2,425,000 Bond Price 98.65 101.45 96.55 94.56 Remaining Life (in Yrs) 2.35 3.24 4.01 4.17 Modified Duration 3.25 3.78 4.23 5.04 Convexity 22.56 29.76 34.56 55.67 a. What is the overall market value of the bond investments? b. Determine the average modified duration and convexity of the bond investment. c. By how much will the overall value of the bond investments change if yields went up by 0.25%?
Consider 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…
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 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 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 ratio
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?

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