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As a senior loan officer at MC Bancorp, you have the following loan applications waiting for review. The bank uses Altmans Z score, default probabilities,

As a senior loan officer at MC Bancorp, you have the following loan applications waiting for review. The bank uses Altmans Z score, default probabilities, mortality rates, and RAROC to assess loan acceptability. The banks cost of equity (the RAROC benchmark) is 8 percent. The banks loan policy states that the maximum probability of default for loans by type is as follows

Loan Type and Maximum Allowable
Maturity Default Probability
AAA-rated 0.50%
A-rated 1.25%

Which loans should be approved, and which rejected?

An AAA-rated, one-year C&I loan from a firm with a liquidity ratio of 2.15, a debt-to-asset ratio of 45 percent, volatility in earnings of 0.13, and a profit margin of 12 percent. MC Bancorp uses a linear probability model to evaluate AAA-rated loans as follows:

PD = 0.08 X 1 + 0.15 X 2 + 1.25 X 3 0.45 X 4

where

X1 = Liquidity ratio

X2 = Debt-to-asset ratio

X3 = Volatility in earnings

X4 = Profit margin

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