Lesson 5.4 40 min
Collections, aging and credit risk
An aged receivables report, an allowance from loss rates, and the break-even odds of selling on credit.
Selling on credit turns a customer into a borrower. Some will pay late, a few will not pay. Lesson 5.1 shows the cost of waiting. This lesson deals with the cost of not being paid.
The aged receivables report
An aging report sorts every unpaid invoice by how long it has been outstanding, usually into buckets: current, 1 to 30 days past due, 31 to 60, 61 to 90, and over 90. It is the first report to read in a collections review because the probability of collecting falls as an invoice ages.
Two numbers come from it. The share of the balance that is past due shows how well terms are kept. The share past 60 days shows how much of the balance is at real risk.
Estimating the allowance
The accounts show receivables at the amount expected to be collected. The allowance for doubtful accounts is the deduction for those that will not be. A simple way to set it is a provision matrix: apply a loss rate to each bucket and add up.
The rates come from the business's own history: of the invoices that reached the 61 to 90 bucket in the past, what share eventually went unpaid? IFRS 9 allows a business to use a provision matrix like this for trade receivables when measuring expected credit losses. Aging-based estimates are used under other frameworks as well. The loss rates in the case are assumptions, and a real matrix needs the business's own figures.
Writing off an invoice and setting an allowance are different. The allowance estimates the loss in advance, the write-off removes a specific invoice once it is deemed uncollectible. The tax treatment of bad debts differs from the accounting treatment in many places, so check the local rules.
A measure of collection quality
DSO from lesson 5.1 mixes two things: how long customers are given and how late they are. Best-possible DSO separates them.
Best-possible DSO = Current receivables ÷ Revenue × 365
The difference between actual DSO and best-possible DSO is the days lost to overdue invoices.
The break-even test for selling on credit
Before offering terms to a new customer, compare the profit if they pay with the loss if they do not. Suppose an order has a selling price P and a cost of C. If the customer pays, the business gains P − C. If the customer never pays, it loses C, the cost of the goods. The break-even probability of payment p solves
p × P = C, so p = C ÷ P
The cost ratio is the break-even. A business with a cost of 66.7 cents per dollar of sales needs to be paid by 66.7% of such customers just to cover the cost. The thinner the margin, the more reliable a customer has to be.
Controls reduce the risk before the sale and speed up the collection after it.
- Before: check the customer's references and payment record, set a credit limit, ask for a deposit on large or first orders.
- After: send invoices promptly, state terms clearly, call before the due date, and follow up on a fixed schedule, such as day 1, day 15 and day 30 past due.
Worked case
Alder's receivables
Alder's receivables are $144,000. Terms are net 30 for most customers and net 45 for some.
| Bucket | Balance $ | Expected loss rate | Allowance $ |
|---|---|---|---|
| Current, not yet due | 84,000 | 1% | 840.00 |
| 1 to 30 days past due | 30,000 | 3% | 900.00 |
| 31 to 60 days past due | 15,000 | 10% | 1,500.00 |
| 61 to 90 days past due | 9,000 | 25% | 2,250.00 |
| Over 90 days past due | 6,000 | 50% | 3,000.00 |
| Total receivables | 144,000 | 5.90% | 8,490.00 |
Of the balance, $60,000 (41.7%) is past due and $15,000 (10.4%) is more than 60 days past due. Applying the loss rates gives an allowance of $8,490.00, or 5.90% of receivables. Receivables are therefore reported at $144,000 − $8,490.00 = $135,510.00, and the allowance is an expense in the period the sales were made.
Alder's DSO is 60 days. Its best-possible DSO, from the current bucket alone, is $84,000 ÷ $876,000 × 365 = 35.0 days. The other 25.0 days are the cost of overdue invoices. Collecting the $60,000 past due would release that cash. At 9% it is worth $5,400.00 a year in interest, before counting the losses.
A new customer
A new customer wants a $10,000 order on 60-day terms. Alder's cost of goods sold is 66.7% of revenue, so the order costs $6,666.67 to fill. If the customer pays, Alder makes $3,333.33. If not, it loses $6,666.67. The break-even probability of payment is 66.7%. Carrying the money for 60 days at 9% costs a further $147.95, which lifts it to 68.1%. One default wipes out the profit on two sales.
Alder should extend credit only if it judges that at least about 7 in 10 customers like this one pay. For a first order with no history, it can ask for half up front: a deposit halves its exposure.
Template
Aging and credit risk workbook
An aging sheet that takes receivables by bucket and loss rates, and returns the allowance, the past-due shares and best-possible DSO. A credit decision sheet calculates the break-even probability of payment for an order with and without carrying cost. Alder's receivables are loaded.
The full working file, 5-4-aging-and-credit-risk.xlsx, is in the Accounting and Finance Toolkit, Complete Track 1. The lesson above teaches the method and shows the worked numbers, so you can build it yourself in any spreadsheet.
Exercises
Work these, then open the answers
$10,000 of invoices move from current to the 31 to 60 day bucket. How much does the allowance change?
Answer
The loss rate rises from 1% to 10%, so the allowance rises by 9% × $10,000 = $900.00.
Alder wants DSO of 45 days. What receivables balance does that imply, and how much cash is released?
Answer
45 × $2,400 = $108,000. The release is $144,000 − $108,000 = $36,000.
A business with a cost ratio of 80% considers a customer who pays 75% of the time. Should it sell on credit?
Answer
The break-even probability is 80%. At 75% it loses money on average, so no, unless it can reduce its exposure with a deposit or a lower credit limit.
Check
4 questions
Sources
Sources
- Principles of Accounting, Volume 1: Financial Accounting, OpenStax, Rice University
- IFRS 9 Financial Instruments, IFRS Foundation