In: Finance
The Boyd Corporation has annual credit sales of $1.73 million. Current expenses for the collection department are $43,000, bad-debt losses are 1.8%, and the days sales outstanding is 30 days. The firm is considering easing its collection efforts such that collection expenses will be reduced to $27,000 per year. The change is expected to increase bad-debt losses to 2.8% and to increase the days sales outstanding to 45 days. In addition, sales are expected to increase to $1,755,000 per year. Suppose that the opportunity cost of funds is 16%, the variable cost ratio is 63%, and taxes are 40%. Assuming a 365-day year, calculate the cost of carrying receivables under the current policy and the new policy. Enter your answers as positive values. Do not round intermediate calculations. Round your answers to the nearest dollar.
Current policy: $
New policy: $
Based upon the given information provided in question
Formulae for calculating Cost of carrying receivables
Cost of carrying receivables = Days of sales outstanding (DSO) * Sales per day * Variable Cost ratio * Cost of Funds
The following would the calculation
Particulars | Current Policy | New Policy |
Days of sales outstanding (DSO) (a) | 30 Days | 45 Days |
Sales per day = Total Sales/ 365 (b) | $ 4,739.73 | $ 4,808.22 |
Variable cost ratio (c) | 63% | 63% |
Cost of funds (d) | 16% | 16% |
Cost of carrying receivables (e) = (a) * (b) * (c) * (d) |
$ 14,333 | $21,810 |
Calculation of profitability in both the policies:
Particulars | Current Policy | New Policy |
Sales (a) | $ 1,730,000 | $ 1,755,000 |
Less: Variable Cost (b) = 63% * (a) | $ 1,089,900 | $ 1,105,650 |
Profit before credit cost and taxes (c ) = (a) - (b) |
$ 640,100 | $ 649,350 |
Less: Collection Expenses (d) | $ 43,000 | $ 27,000 |
Less: Bad Debts (e) current policy (e) = 1.80% * (a) new policy (e) = 2.8% * (a) |
$ 31,140 | $ 49,140 |
Less: Cost of carrying receivables (f) | $ 14,333 | $ 21,810 |
Income Before Tax (g) = (c ) - (d) - (e ) - (f) |
$ 551,627 | $ 551,400 |
Less: Taxes @ 40% (h) = 40% of (g) | $ 220,651 | $ 220,560 |
Income After Tax (i) = (g) - (h) | $ 330,976 | $ 330,840 |
Trust the same will serve your purpose.
Should you need any clarifications, please feel free to comment.