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Certified Management Accountant Questions 250–254 (page: 109)

Updated On: 9-Feb-2026
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The Dixon Corporation has an outstanding 1-year bank loan of $300,000 at a stated interest rate of 8% In addition, Dixon is required to maintain a 20% compensating balance in its checking account. Assuming the company would normally maintain a zero balance in its checking account, the effective interest rate on the loan is

  1. 6.4%
  2. 8.0%
  3. 20%
  4. 10.0%

Answer(s): D

Explanation:

The requirement to maintain a compensating balance of 20% of the $300,000 loan means that the borrower has effective use of only 80% of the loan, or $240,000. The 8% interest rate applied to a $300,000 loan requires an annual interest expenditure of $24,000. In turn, paying $24,000 for the use of $240,000 indicates an effective interest rate of 10%.



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Elan Corporation is considering borrowing $100,000 from a bank for 1 year at a stated interest rate of 9%. What is the effective interest rate to Elan if this borrowing is in the form of a discounted note?

  1. 8.10%
  2. 9.00%
  3. 9.81%
  4. 9.89%

Answer(s): D

Explanation:

Applying the 9% interest rate to a $100,000 loan results in interest expense of $9,000. If the loan is processed in the form of a discounted note, the interest will be deducted from the proceeds of the loan. Thus, the $9,000 of interest will be deducted from the $100,000 note, resulting in loan proceeds of $91,000. The borrower is paying $9,000 for a loan of $91,000, resulting in an effective interest rate of 9.89%.



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The Flesher Corporation was recently quoted terms on a commercial bank loan of 6% discounted interest with a 22% compensating balance. The term of the loan is 1 year. The effective cost of borrowing is (rounded to the nearest hundredth)

  1. 6.00%
  2. 6.38%
  3. 7.69%
  4. 8.33%

Answer(s): D

Explanation:

Assuming a $1000 loan, the interest at 6% tor 1 year is $60. Hence, the proceeds of the loan with discounted (paid-in-advance) interest are $940 ($1,000 --$60). Also, 22% of the note, or $220, cannot be used by the borrower because of the compensating balance requirement. Consequently, only $720 is available for use. Paying $60 interest for the use of $720 results in an effective cost of borrowing of 8 33% ($60 - $720)



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When a company offers credit terms of 3/10, net 30, the annual interest cost based on a 360-day year is

  1. 36.7%
  2. 24.5%
  3. 37.1%
  4. 55.6%

Answer(s): D

Explanation:

Assume that the gross amount of an invoice is $1,000. Given a 3% discount, the buyer will pay $970 on the tenth day. Thus, the seller is forgoing $30 to receive payment 20 days sooner than would otherwise be required. The 20-day interest rate (rounded) is 3.09% ($30 ÷ $970). The number of 20-day periods in a year is 18(360 20). If the interest rate is 3.09% for each 20-day period, the annual interest rate (rounded) is 55.6% (18 x 3.09).



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With respect to the use of commercial paper by an industrial firm, which one of the following statements is most likely to be true?

  1. The commercial paper is issued through a bank.
  2. The commercial paper has a maturity of 60-270 days
  3. The commercial paper is secured by the issuer's assets.
  4. The commercial paper issuer is a small company

Answer(s): B

Explanation:

Most commercial paper has a maturity of between 60 and 270 days.



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