Question

Proposal #1 would extend trade credit to some customers that previously have been denied credit because they were considered poor risks. Sales are projected to increase by $200,000 per year if credit is extended to these new customers. Of the new accounts receivable generated, 7% are projected to be uncollectible. Additional collection costs are projected to be 3% of incremental sales (whether they actually end up collected or not), and production and selling costs are projected to be 80% of sales. Your firm expects to pay a total of 30% of its income after expenses in taxes.
Compute the incremental income after taxes that would result from these projections:
Compute the incremental Return on Sales if these new credit customers are accepted If the receivable turnover ratio is expected to be 4 to 1 and no other asset buildup is needed to serve the new customers…
Compute the additional investment in Accounts Receivable
Compute the incremental Return on New Investment
If your company requires a 20% Rate of Return on Investment for all proposals, do the numbers suggest that trade credit should be extended to these new customers? Explain.

Answer 1

Answer: See explanation

Explanation:

a. Compute the incremental income after taxes that would result from these projections:

Sales increase= $200,000

Less: Uncollectible accounts:

= 7% × $200,000

= ($14,000)

Annual incremental value= $186,000

Less: Collection cost:

= 3% × $200,000

= ($6000)

Less: Production and selling cost:

= 80% × $200,000

= ($160,000)

Incremental income before tax= $20000

Tax at 30% = ($6000)

Incremental income after tax = $14000

b. Compute the incremental Return on Sales if these new credit customers are accepted If the receivable turnover ratio is expected to be 4 to 1 and no other asset buildup is needed to serve the new customer.

Incremental Return on Sales will be:

= Incremental income after taxes ÷ Increase in sales

= $14000/$200000

= 7%

c. Compute the additional investment in Accounts Receivable.

Since the receivable turnover ratio will be 4, then the additional investment in the accounts receivable will be:

= Additional credit sales/Receivable turnover ratio

= $200000 /4

= $50,000

Therefore, the additional investment in the accounts receivable will be $50,000.

d. Compute the incremental Return on New Investment.

The incremental return on new investment will be:

= Incremental income after taxes/Additional investment

= $14000/$50000

= 28%

e. If your company requires a 20% Rate of Return on Investment for all proposals, do the numbers suggest that trade credit should be extended to these new customers? Explain.

Yes, the numbers implies that trade credit should be extended to these new customers. This is because the incremental return on the new investment is 28%, and this is higher than the rate of return on investment which is 20%.