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;

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter3: Evaluation Of Financial Performance
Section: Chapter Questions
Problem 10P
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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 convexity) from the equity holders. How much cash does the bank need to raise?

e)Do you agree with the following statement? Explain why.“The information about a bond’s duration and convexity adjustment is sufficient to quantify interest rate risk exposure.”

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