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Homework #3 - Accounts Receivable Bey Technologies is considering changing its credit terms from 2/ 15,...

Homework #3 - Accounts Receivable

Bey Technologies is considering changing its credit terms from 2/ 15, net 30 to 3/ 10, net 30 to speed collections. Currently, 40 percent of Bey’s paying customers take the 2 percent discount. Under the new terms, discount customers are expected to rise to 50 percent. Regardless of the credit terms, half of the customers who do not take the discount are expected to pay on time, whereas the remainder will pay 10 days late. The change does not involve a relaxation of credit standards; therefore, bad debt losses are not expected to rise above their current 2 percent level. However, the more generous cash discount terms are expected to increase sales from $ 2 million to $ 2.6 million per year. Beys variable cost ratio is 75 percent, the interest rate on funds invested in accounts receivable is 9 percent, and the firms marginal tax rate is 40 percent. All costs associated with production and credit sales are paid on the day of the sale.

a. What is the days sales outstanding before and after the change?

b. Calculate the costs of the discounts taken before and after the change.

c. Calculate the bad debt losses before and after the change.

d. Calculate the financing costs before and after the change.

e. Now put your information above into an Income Statement. Compare the results. Should Bey change its credit terms? Explain.

Solutions

Expert Solution

a] DSO before change = 15*40%+30*60% = 24.0
DSO after change = 10*50%+30*25%+40*25% = 22.5
b] Cost of discounts before change = 2000000*40%*2% = $             16,000
Cost of discount after change = 2600000*50%*3% = $             39,000
c] Bad losses before change = 2000000*2% = $             40,000
Bad losses after change = 2600000*2% = $             52,000
d] Variable cost of receivables outstanding before change = 2000000*75%*24/365 = $             98,630
Variable cost of receivables outstanding after change = 2600000*75%*22.5/365 = $ 120,205
Financing costs before change = 98630*9% = $               8,877
Financing costs after change = 120205*9% = $             10,818
e] Total contribution margin before change = 2000000*25% = $ 500,000
Total contribution margin after change = 2600000*25% = $ 650,000
INCOME STATEMENT
Before Change After Change
Total contribution margin $ 500,000 $         650,000
Discounts $ (16,000) $         (39,000)
Bad debts $ (40,000) $         (52,000)
Financing costs $             (8,877) $         (10,818)
Net margin before tax $ 435,123 $         548,182
Increase in net profit before tax $         113,058
Tax at 40% $ 45,223
Increase in net profit after tax $ 67,835
As the net profit after tax is expected to increase after the change, Bey should change its
credit terms.

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