Chapter 15, Problem 15SP

(Cost of factoring) A factor has agreed to lend the JVC Corporation working capital on the following terms: JVC’s receivables average $100,000 per month and have a 90-day average collection period. (Note that JVC’s credit terms call for payment in 90 days, and accounts receivable average $300,000 because of the 90-day average collection period.) The factor will charge 12 percent interest on any advance (1 percent per month paid in advance) and a 2 percent processing fee on all receivables factored and will maintain a 20 percent reserve. If JVC undertakes the loan, it will reduce its own credit department expenses by $2,000 per month. What is the effective annual rate of interest to JVC on the factoring arrangement? Assume that the maximum advance is taken.