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Bun Bank has issued a one-year $20 million loan commitment to a customer with the following terms:

- Up-front fee: 15 basis points
- Base rate: 10.5%
- Risk premium: 0.50%
- Back-end fee for the unused portion: 10 basis points
- Compensating balance requirement: 10 percent in demand deposits
- Reserve requirements on demand deposits: 15 percent

If 70 percent of the loan is drawn, what is the dollar income on the loan at the end of the year? Estimate using the future values of fee and interest income received. The return is defined as all fee and interest income earned at year-end as a percentage of funds used. Assume the cost of funds to the bank is 6 percent.

Options:
A. $1,415,620
B. $1,625,000
C. $1,928,000
D. $1,577,800
E. $1,918,060

Answer :

The dollar income on the loan at the end of the year, if 70% of the loan is drawn, is $1,415,620. Therefore, the correct option is a.

To calculate the dollar income on the loan, we need to consider the various components involved. The loan amount is $20 million, and 70% of it is drawn, which amounts to $14 million. The up-front fee for the loan is 15 basis points, so the bank receives $14 million * 0.15% = $21,000 as an up-front fee.

The interest income is calculated based on the base rate of 10.5% plus the risk premium of 0.50%. The total interest rate is 11%. Therefore, the interest income on the drawn amount is $14 million * 11% = $1,540,000.

The back-end fee for the unused portion of the commitment is 10 basis points, which amounts to $20 million * 0.10% = $20,000.

The bank also requires a 10% compensating balance, which is $14 million * 10% = $1,400,000.

Finally, we need to calculate the reserve requirements on demand deposits, which is 15% of the drawn amount, or $14 million * 15% = $2,100,000.

To estimate the dollar income on the loan at the end of the year, we need to subtract the compensating balance and the reserve requirements from the interest income and up-front fee. Therefore, the dollar income on the loan is $1,540,000 + $21,000 - $1,400,000 - $2,100,000 = $1,415,620.

In conclusion, the dollar income on the loan at the end of the year, if 70% of the loan is drawn, is $1,415,620.

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