In: Finance
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.
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. |