Business & Accounting

Accounts Receivable: Formula, Meaning & Example

Accounts receivable represents amounts customers owe a business for qualifying goods or services already provided on credit.

Suppose a company begins the month with $50,000 of accounts receivable, records $140,000 of credit sales, and collects $125,000 from customers.

Ending Accounts Receivable = $50,000 + $140,000 − $125,000

= $65,000

The company ends the period with $65,000 still owed by customers.

Accounts receivable is therefore not simply a revenue number. It is an uncollected asset that connects sales activity to future cash flow.

Accounts Receivable Formula

A simplified AR roll-forward is:

Ending Accounts Receivable = Beginning Accounts Receivable + Credit Sales − Collections − Write-Offs − Credits and Other Reductions

When no write-offs or other adjustments occur:

Ending AR = Beginning AR + Credit Sales − Collections

This equation is useful for reconciling customer balances over a reporting period.

Accounts Receivable Example

Suppose:

Beginning AR = $30,000

Credit Sales = $90,000

Cash Collections = $80,000

No other changes occur.

Then:

Ending AR = $30,000 + $90,000 − $80,000

= $40,000

Accounts receivable increases by:

$10,000

The company recognized $10,000 more credit activity than it collected during the period.

Solve for Customer Collections

Rearrange the formula:

Collections = Beginning AR + Credit Sales − Ending AR

Suppose:

Beginning AR = $45,000

Credit Sales = $150,000

Ending AR = $55,000

Then:

Collections = $45,000 + $150,000 − $55,000

= $140,000

Under the simplified assumptions, customers paid $140,000 during the period.

Solve for Credit Sales

Suppose:

Beginning AR = $35,000

Ending AR = $50,000

Collections = $120,000

Then:

Credit Sales = Ending AR − Beginning AR + Collections

= $50,000 − $35,000 + $120,000

= $135,000

This can help reconcile sales records when cash collections and balance-sheet figures are known.

Accounts Receivable vs Accounts Payable

Accounts payable represents unpaid amounts the business owes.

Accounts receivable represents unpaid amounts customers owe the business.

Suppose:

AR = $100,000

AP = $70,000

The difference is:

$30,000

but that $30,000 is not cash.

The receivables may not have been collected, while payables may need to be settled according to vendor due dates.

Accounts Receivable Under Accrual Accounting

Accrual accounting allows qualifying revenue to be recognized when earned even if payment arrives later.

Suppose a company completes:

$15,000 of Services

in March and invoices the customer with payment due in April.

A simplified March accounting effect is:

Revenue = $15,000

Accounts Receivable = $15,000

When the customer pays in April:

Cash Increases $15,000

Accounts Receivable Decreases $15,000

The April collection does not create a second $15,000 of revenue.

Accounts Receivable on the Balance Sheet

Accounts receivable generally appears among assets on the balance sheet because it represents an economic resource expected to produce future cash collection, subject to collectability.

Suppose:

Cash = $80,000

Accounts Receivable = $120,000

Inventory = $100,000

Current assets:

$300,000

Receivables represent 40% of those current assets:

$120,000 ÷ $300,000

= 40%

That concentration makes collection quality particularly important.

Accounts Receivable Is Not Cash

Suppose the business reports:

AR = $200,000

while actual cash is:

$20,000

A large receivable balance may make the balance sheet appear stronger, yet the company can still face immediate cash constraints.

An invoice does not pay payroll, rent, or suppliers until it is collected.

Collecting an Account

Suppose a customer owes:

$10,000

and pays the full amount.

Simplified entry:

Cash +$10,000

Accounts Receivable −$10,000

Total assets remain unchanged at the moment of collection because one asset is converted into another.

The transaction improves liquidity even though total asset value does not change.

Receivable Growth

Suppose accounts receivable rises:

$80,000 → $120,000

Increase:

$40,000

Percentage increase:

$40,000 ÷ $80,000 × 100

= 50%

If sales rose only 10%, receivables are growing much faster than revenue.

That can indicate slower collections, a change in customer mix, looser credit terms, billing delays, or other issues requiring investigation.

Revenue Growth With Stable Collections

Suppose monthly credit sales rise from:

$100,000 → $150,000

Collections rise only:

$95,000 → $110,000

New sales increased:

50%

Collections increased:

≈ 15.79%

Unless prior receivables are being reduced elsewhere, AR is likely to grow substantially.

Rapid sales growth can therefore consume working capital.

Accounts Receivable Aging

An AR aging schedule organizes customer balances by how long they have remained unpaid.

Suppose total receivables are:

$100,000

with:

$60,000 Current

$25,000 Moderately Past Due

$15,000 Significantly Past Due

The total remains $100,000, but the collection risk is different from a portfolio in which the entire amount is current.

The age profile matters alongside the headline balance.

Bad Debt and Write-Offs

Not every receivable is ultimately collected.

Suppose:

Customer Balance = $5,000

and the receivable is later written off under the company’s applicable accounting policy.

The AR roll-forward should reflect:

Accounts Receivable −$5,000

The corresponding expense or allowance accounting depends on the company’s accounting method and the timing of prior credit-loss estimates.

Gross vs Net Receivables

A balance sheet may distinguish gross customer receivables from an allowance for expected credit losses.

Suppose:

Gross AR = $200,000

Allowance = $8,000

Net receivables:

$200,000 − $8,000

= $192,000

This presents a more realistic carrying amount when some accounts are not expected to be collected in full.

Customer Credit Terms

Suppose customers normally receive:

30-Day Payment Terms

Extending terms to 60 days can encourage sales or support strategic customers, but it can also delay cash collection.

If monthly credit sales are $300,000, an additional 30 days of collection time can represent roughly:

$300,000

of additional receivables under a simple steady-state approximation.

Credit policy is therefore a financing decision as well as a sales decision.

Early-Payment Discounts

Suppose a business offers a customer a:

2% Discount

for paying a $50,000 invoice early.

Discount:

$1,000

Cash collected:

$49,000

The company sacrifices $1,000 of revenue or consideration under the applicable accounting treatment in exchange for receiving cash earlier.

Whether that tradeoff makes economic sense depends on financing costs, default risk, cash needs, and customer behavior.

Receivables and Cash Flow

Suppose net income is:

$100,000

but AR increases:

$60,000

All else equal, much of the accounting profit has not yet converted into cash.

The receivable increase can therefore help explain why operating cash flow is materially below reported earnings.

Accounts Receivable and Amortization Expense

Amortization expense reduces accounting earnings through allocation of an intangible asset cost.

Accounts receivable instead tracks customer amounts still unpaid.

A company could report:

Revenue Increase

Higher AR

and:

Amortization Expense

in the same period.

Each account explains a different part of the earnings-to-cash relationship.

Receivables and Break-Even Sales

Break-even sales estimates the sales volume or revenue needed to cover a defined cost structure.

But reaching break-even on an accrual basis does not guarantee liquidity.

Suppose the company reaches exactly $500,000 of break-even sales, but $200,000 remains unpaid by customers.

The company can be economically at break-even while still lacking the cash required to pay current obligations.

Collection Rate

A simple operating measure is:

Collection Rate = Cash Collected ÷ Amount Available for Collection × 100

Suppose:

Beginning AR + Credit Sales = $180,000

Collections:

$150,000

Then:

Collection Rate = $150,000 ÷ $180,000

≈ 83.33%

This ratio can provide operating context but should not replace more detailed aging and collection analysis.

Uncollected Percentage

Using the same simplified figures:

Ending AR = $30,000

Amount available:

$180,000

Uncollected percentage:

$30,000 ÷ $180,000

≈ 16.67%

Again, the quality of that remaining 16.67% depends on invoice age and customer creditworthiness.

Forecasting Accounts Receivable

Suppose a business projects:

Monthly Credit Sales = $400,000

and expects average collection timing of approximately:

45 Days

Using a rough 30-day month:

Estimated AR ≈ $400,000 × 45 ÷ 30

= $600,000

If management shortens collection time to 30 days:

Estimated AR ≈ $400,000

Potential working-capital release:

≈ $200,000

This simplified example shows why collection efficiency can materially affect liquidity.

AR Reconciliation

Suppose the balance-sheet control account shows:

$250,000

while individual customer balances total:

$247,000

Difference:

$3,000

The difference should be investigated rather than ignored.

Possible causes include unapplied cash, posting errors, duplicate invoices, write-offs, customer credits, or timing differences.

Common Accounts Receivable Mistakes

A common error is recording revenue again when a customer pays an existing receivable.

Another is treating receivables as equivalent to cash.

Businesses can also focus only on total AR while ignoring aging, extend credit without considering collection risk, or allow receivables to grow much faster than sales without analyzing the cause.

Frequently Asked Questions

What is accounts receivable?

Accounts receivable represents qualifying amounts customers owe a business for goods or services already provided on credit.

What is the basic accounts receivable formula?

Ending AR = Beginning AR + Credit Sales − Collections − Other Reductions

Is accounts receivable an asset?

Generally, yes.

Does collecting AR create new revenue?

No, not when the revenue was already recognized when the receivable arose.

What increases accounts receivable?

Credit sales exceeding collections and other reductions can increase the balance.

What decreases accounts receivable?

Collections, write-offs, credits, returns, and other reductions can lower the balance.

Is accounts receivable the same as cash?

No.

Why is an aging schedule useful?

It reveals how long customer balances have been outstanding and where collection risk may be concentrated.

Can sales growth create cash-flow pressure?

Yes. If receivables grow with sales faster than collections, more cash becomes tied up in working capital.

Why might net receivables be lower than gross receivables?

An allowance can reflect amounts the company does not expect to collect.

Why reconcile AR to customer balances?

It helps identify unapplied payments, billing errors, duplicate entries, credits, and other discrepancies.

Can a profitable business struggle because of receivables?

Yes. Profit does not provide liquidity until sufficient amounts are converted into cash.

Mehran Khan

Mehran Khan is the primary author at The Logic Library and CEO & Founder of One Digit Media. With 10+ years of experience in software engineering, SEO, and digital publishing, he uses a research-led approach to Logics, Maths, Tech, Formulas, Science, and AI.

Related Articles

Leave a Reply

Your email address will not be published. Required fields are marked *

Back to top button