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
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
ONLY ANSWER SUBSECTION D
a) Calculate the equity (total asset – total liability) to asset ratio of the bank
b) Calculate the duration and convexity of the both asset and liability sides;
c) If the interest rates go up by 1%, usingthe duration and convexity ruleto 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?
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