Question
CREDIT RISK - INDIVIDUAL LOAN As a senior loan officer at AM Bancorp, you have the following loan applications waiting for review.The bank uses Altman's
CREDIT RISK - INDIVIDUAL LOAN
As a senior loan officer at AM Bancorp, you have the following loan applications waiting for review.The bank uses Altman's Z score, default probabilities, mortality rates, and RAROC to assess loan acceptability The bank's cost of equity (the RAROC benchmark) is 9 percent.The bank's loan policy states that the maximum probability of default for loans by type is as follows:
___________________________________________________________________
Loan Type and MaturityMaximum Allowable Default Probability
AAA-rated0.50%
A-rated1.25
___________________________________________________________________
Which loans should be approved and which rejected?
1.A 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.AM Bancorp uses a linear probability model to evaluate AAA-rated loans as follows:
PD = -0.08X1 + 0.15X2 + 1.25X3 -0.45X4
Where
X1 = Liquidity ratio
X2 = Debt-to-asset ratio
X3 = Volatility in earnings
X4 = Profit margin
2.An AA-rated, one year C&I loan from a firm with the following financial statement information (in millions of dollars):
_____________________________________________________________________
AssetsLiabilities and Equity
_____________________________________________________________________
Cash$40Accounts payable$55
Accounts receivable 120Notes payabl60
Inventory210Accruals70
Long-term debt550
Plant and equipment 1,100Equity (ret. Earnings=$200)735
Total assets$1,470Total liabilities and equity$1,470
____________________________________________________________________
Also assume sales = $1,250m, cost of goods sold=$930m, and the market value of equity is equal to 2.2 times the book value.AM Bancorp uses the Altman's Z score model to evaluate AA-rated loans.
3.An A-rated corporate loan with a maturity of three years.A-rated corporate
loans are evaluated using the maturity rate approach.A schedule of historical defaults (annual and cumulative) experienced by the bank on its A-rated corporate loans is as follows:
________________________________________________________________________Years of issuance
__________________________________________
Loan type1-year 2 years3 years4 years
A-rated corporate loans
Annual default0.10%0.25%0.40%0.65%
Cumulative default0.100.3250.5951.858
4.A $2 million, five-year loan to a BBB-rated corporation in the computer parts industry.AM Bancorp charges a servicing fee of 75 basis points.The duration on the loan is 4.5 years.The cost of funds for the bank (the RAROC benchmark) is 8 percent.Based on four years of historical data, the bank has estimated the maximum change in the risk premium on the computer parts industry to be approximately 5.3 percent.The current market rate for loans in this industry is 10 percent.
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