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The Basel Accord requires banks to hold capital at a certain percentage of their total risk-weighed assets. The assets are allocated into four categories, each

The Basel Accord requires banks to hold capital at a certain percentage of their total risk-weighed assets. The assets are allocated into four categories, each with a different weight to reflect the degree of credit risk (see the table below).

Risk weight

Asset categories

0%

Reserves and government securities

20%

Claims on banks (e.g., holdings of bonds issued by other banks)

50%

Municipal bonds, residential mortgages

100%

Loans to consumers and companies

Consider a bank with the following balance sheet:

Assets

Liabilities & Equity

Desired Reserves

$9.6 million

Chequable Deposits

$120 million

Excess Reserves

$1.4 million

Treasury bills

$20 million

Bank Capital

$ 6 million

Residential mortgages

$45 million

Commercial Loans

$50 million

(a) Calculate the banks risk-weighted capital ratio. (3 points)

(b) Suppose that the bank regulator decides that the bank needs a risk-weighted capital ratio of 10%. Based on the banks balance sheet, how much of an additional capital injection is required in order to reach the 10% target? (2 points)

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