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Let’s assume that you have been asked to calculate risk-based capital ratios for

ID: 2650536 • Letter: L

Question

Let’s assume that you have been asked to calculate risk-based capital ratios for a bank with the following accounts.

Cash                                                    7 million

Government Securities:                       9 million

Mortgage loans                                   25 million

Other loans                                          55 million

Fixed assets                                         8 million

Intangile assets                                    5 million

Loan-loss reserves                               4 million

Owners’ equity                                   6 million

Trust-preferred securities                    3 million

Cash assets and government securities are not considered risky.

Loans secured by real estate have a 50% weighting factor.

All other loans have a 100 % weighting factor in term of riskiness.

Calculate the equity capital ratio.
Calculate the Tier 1 Ratio using risk-adjusted assets.
Calculate the Total Capital (Tier 1 and Tier 2) Ratio using risk-based assets.

Explanation / Answer

Answer: Calculation of the equity capital ratio:

Equity Capital Ratio = Owners' equity / Total
Equity Capital Ration = $6 million / $122 million
Equity Capital Ratio = 0.049180

Answer:

Risk-adjusted assets = $7x0.0 + $9x0.0 + $25x0.5 + $55x1.0 = $67.5

         Tier I capital ratio = ($6 + $3)/$67.5= 0.1333 or 13.33 percent.

Answer:

The total risk-based capital ratio = ($6+$3+$4)/$67.5= 0.19259 or 19.26 percent.