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...

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

1. 
   

   Calculate the equity (total asset – total liability) to asset ratio of the bank

   
   


2. 
   

   Calculate the duration and convexity of the both asset and liability sides;

   
   


3. 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;


4. 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?


5. 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.”

Thank You