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Kangaroo Bank charges 1% per annum loan origination fee, and price its loans based on the inter-bank lending rate, which is currently 4.0% per annum,
Kangaroo Bank charges 1% per annum loan origination fee, and price its loans based on the
inter-bank lending rate, which is currently 4.0% per annum, plus the risk premium. The bank
classifies its potential loan clients into three groups only based on the estimated systematic
loan loss sensitivity of the client sector to the bank's aggregate loan portfolio, and charges
credit risk premium accordingly.
The bank has made one-year loans to its three big clients, firm Acacia, firm Eucalypts and
firm Wildflowers, which fall into three different credit risk groups. For one-year loans, the
credit risk premium is 3%, 5% or 7% per annum based on the borrower's credit risk group
classification. Other information about one-year loans to the three firms is given below:
Estimated probability
Firm
Loan loss B
of default
Acacia
25%
1.5
Eucalypts
5%
2.0
Wildflowers
20%
0.5
where loan loss is estimated by regressing the historical loan loss ratio of each client's
sector loan portfolio on the loan loss ratio of the bank's aggregate loan portfolio.
The bank also requires its loan clients to deposit 4.0% of the contracting loan amount in the
deposit account with the bank, which the central bank imposes a 10% reserve requirement.
1) [2 Marks] What is the credit risk premium that the bank charges for the loan made to firm
Eucalypts?
% (Give answer in %)
2) [3 Marks] What is the promised annual rate of return on the loan made to firm Eucalypts?
% (Give answer to 2 decimal places in %, e.g. if your answer is 0.11123, please key in 11.12)
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