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;

Cornerstones of Financial Accounting
4th Edition
ISBN:9781337690881
Author:Jay Rich, Jeff Jones
Publisher:Jay Rich, Jeff Jones
Chapter12: Fainancial Statement Analysis
Section: Chapter Questions
Problem 18MCQ
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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;

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