Assets Value Duration of the Asset Convexity of the Asset 5yr bond bought at a yield of 3.4% $550M (lending money) 4.562 12.026 $800M 12yr bond bought at a yield of 4% (lending money) 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) 4yr bond sold at a yield of 2.8% (borrowing money) $300M 1.941 2.384 $500M 3.759 8.206

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
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Consider a bank with the following balance sheet (M means million):

(Image Attached)

Calculate the equity (total asset – total liability) to asset ratio of the bank (Hint: equity to asset ratio = total equity/total asset) and calculate the duration and convexity of the both asset and liability sides.

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Assets
Value
Duration of the Asset Convexity of the Asset
5yr bond bought at a yield of 3.4% $550M
(lending money)
4.562
12.026
$800M
12yr bond bought at a yield of 4%
(lending money)
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)
4yr bond sold at a yield of 2.8%
(borrowing money)
$300M
1.941
2.384
$500M
3.759
8.206
Transcribed Image Text:Assets Value Duration of the Asset Convexity of the Asset 5yr bond bought at a yield of 3.4% $550M (lending money) 4.562 12.026 $800M 12yr bond bought at a yield of 4% (lending money) 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) 4yr bond sold at a yield of 2.8% (borrowing money) $300M 1.941 2.384 $500M 3.759 8.206
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