Asked by connor Xiong on Apr 25, 2024

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If a firm issues $5 million of commercial paper with a maturity of three months at an annual interest rate of 8%, the proceeds of the issue are:

A) $4,900,000.
B) $4,629,630.
C) $4,901,961.
D) $4,600,000.

Commercial Paper

An unsecured, short-term debt instrument issued by corporations to finance their immediate operating expenses, inventory, and other short-term liabilities.

Maturity

The date on which the principal of a debt is due. Also the time from the present until that date.

Annual Interest Rate

The percentage of interest that will be charged or earned on an investment or loan on an annual basis.

  • Compute the effective cost of using commercial paper as a financing method.
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AM
Akshay Mathur8 days ago
Final Answer :
C
Explanation :
The proceeds from the issue can be calculated by considering the interest that will be paid over the three-month period and subtracting it from the face value of the commercial paper. The annual interest rate is 8%, so for three months (which is a quarter of a year), the interest rate would be 8% / 4 = 2%. The interest paid would be $5,000,000 * 2% = $100,000. Therefore, the proceeds from the issue would be the face value minus the interest, which is $5,000,000 - $100,000 = $4,900,000. However, this calculation assumes the interest is deducted upfront (discount basis), which is a common practice for commercial paper. To find the actual proceeds, we use the formula for the present value of a single sum, which in this case is the face value of the commercial paper: Proceeds = Face Value / (1 + r), where r is the interest rate for the period. Thus, Proceeds = $5,000,000 / (1 + 0.02) = $5,000,000 / 1.02 = $4,901,961.