Why Accrued Revenue Is Needed
A business may complete work before it sends an invoice or receives payment. Under accrual accounting, the timing of billing and collection does not by itself determine when revenue is recognized. If the business has earned revenue by the reporting date but has not yet recorded it, an adjusting entry is needed so the period’s statements include that revenue and the related receivable.
The key is to separate three events: earning revenue by providing a service or delivering agreed work, billing the customer, and collecting cash. These events may occur at different times. This tutorial focuses on completed work that is earned but not yet billed or recorded. It distinguishes that amount from a receivable already recorded for billed work that remains unpaid.
The Period-End Calculation
For a simple service arrangement, first determine the amount earned by the reporting date from the work completed. Then subtract any revenue for that completed work already recorded in the ledger. The difference is the adjusting amount. If all billed, completed work has already been recorded, this difference is the value of completed but unbilled work.
The examples use the following assumptions: the service or work has been completed to the extent stated; its price is known and measurable; the amount has not already been recorded as revenue; and there are no complications such as disputed fees or collectibility adjustments. No tax effects are included. If completed work has already been billed and recorded, it is not accrued revenue again. If an invoice has been sent but the related work has not been earned, that is a different timing issue and is outside this tutorial’s focus.
For a fixed fee earned evenly over a stated service period, the earned portion can be found by multiplying the fee by the fraction of the service period completed. For work paid at a fixed rate per completed unit, multiply the number of completed units by the rate. Use the method that matches the contract’s stated earning pattern; do not assume that every fixed fee is earned evenly over time.
Worked Examples
Worked Example: Completed Work, Invoices, and Collections
A consultant charges $900 for each completed inspection. By the reporting date, 14 inspections are complete. The consultant has invoiced 10 completed inspections, and all 10 invoices have been recorded as revenue and receivables. Customers have paid for 6 inspections. Calculate accrued revenue, billed but unpaid receivables, total receivables after adjustment, cash collected, and the adjusting entry.
Method. Separate the 14 completed inspections into those already billed and recorded and those not yet billed. Handle collections separately, because collecting cash reduces a receivable but does not determine how much revenue was earned.
1. Calculate total revenue earned. Fourteen completed inspections at $900 each give \(14 \times \$900 = \$12,600\).
2. Calculate revenue already recorded. The 10 invoiced inspections were recorded, so recorded revenue is \(10 \times \$900 = \$9,000\).
3. Calculate accrued revenue. The number of completed but unbilled inspections is \(14 - 10 = 4\). Therefore, accrued revenue is \(4 \times \$900 = \$3,600\).
4. Calculate billed but unpaid receivables. Of the 10 invoiced inspections, 6 have been paid, so \(10 - 6 = 4\) remain unpaid. Billed but unpaid receivables are \(4 \times \$900 = \$3,600\).
5. Calculate total receivables and cash collected. After the adjustment, total receivables are billed but unpaid receivables plus unbilled accrued revenue: \(\$3,600 + \$3,600 = \$7,200\). Cash collected is \(6 \times \$900 = \$5,400\).
Adjusting entry: Debit Accounts Receivable $3,600 and credit Service Revenue $3,600. The adjusted revenue is \(\$9,000 + \$3,600 = \$12,600\). As a check, the $12,600 earned consists of $5,400 collected and $7,200 still receivable.
Worked Example: A Time-Based Fee and Per-Unit Work
A hypothetical service firm has two contracts at month-end. Under its first contract, it earns a $7,200 fixed fee evenly over a 30-day service period; 20 days of service have been completed, and no amount for this contract has been billed or recorded. Under its second contract, the firm earns $500 per completed repair. Eight repairs are complete; five have been invoiced and recorded, and customers have paid for four of those five. Calculate the adjusting entry, total revenue earned, total receivables after adjustment, and cash collected.
Method. Calculate the earned amount separately for each contract. Subtract revenue already recorded for completed repairs, then combine the contracts’ accrued amounts. Treat the payment of four repair invoices as a cash collection, not as a reduction in revenue earned.
1. Calculate earned revenue for the fixed-fee contract. The completed fraction of the service period is \(20/30\). Earned revenue is \(\$7,200 \times 20/30 = \$4,800\). None has been recorded, so the entire $4,800 is accrued.
2. Calculate earned and recorded repair revenue. Eight completed repairs earn \(8 \times \$500 = \$4,000\). Five invoiced repairs have already been recorded, giving recorded repair revenue of \(5 \times \$500 = \$2,500\). The three completed but unbilled repairs earn \(3 \times \$500 = \$1,500\), which is the repair revenue to accrue.
3. Find the total adjustment and total revenue. Accrued revenue is \(\$4,800 + \$1,500 = \$6,300\). Total revenue earned is \(\$4,800 + \$4,000 = \$8,800\), which also equals the $2,500 already recorded plus the $6,300 adjustment.
4. Calculate receivables and cash collected. One of the five invoiced repairs remains unpaid, so billed but unpaid receivables are \(1 \times \$500 = \$500\). Unbilled receivables are $4,800 for the fixed-fee contract plus $1,500 for repairs, or $6,300. Total receivables after adjustment are \(\$500 + \$6,300 = \$6,800\). Cash collected is \(4 \times \$500 = \$2,000\).
Adjusting entry: Debit Accounts Receivable $6,300 and credit Service Revenue $6,300. As a check, total earned revenue of $8,800 is made up of $2,000 collected and $6,800 receivable.
Worked Example: Tracing the Adjustment Through the Statements
A hypothetical data-processing firm charges $300 for each completed day of support. At the reporting date, 25 days of support have been completed. The firm has invoiced and recorded 15 days, and customers have paid for 12 days. Assume that no other entries for this service affect the balances. Calculate the adjusting entry, then explain its effects on the income statement, balance sheet, and cash flow statement. Ignore income taxes.
1. Calculate earned revenue and the adjustment. Total earned revenue is \(25 \times \$300 = \$7,500\). Revenue already recorded for the 15 invoiced days is \(15 \times \$300 = \$4,500\). Therefore, accrued revenue is \(\$7,500 - \$4,500 = \$3,000\), representing \(25 - 15 = 10\) completed but unbilled days.
2. Calculate the receivable balances and cash collected. The 15 invoiced days include 12 paid days, leaving \(15 - 12 = 3\) billed but unpaid days. Billed but unpaid receivables are \(3 \times \$300 = \$900\). Add the $3,000 unbilled accrual to get total receivables of \(\$900 + \$3,000 = \$3,900\). Cash collected is \(12 \times \$300 = \$3,600\).
3. Record the adjustment. Debit Accounts Receivable $3,000 and credit Service Revenue $3,000. The income statement reports total revenue of \(\$4,500 + \$3,000 = \$7,500\). Ignoring taxes and other effects, the increase in revenue increases income for the period by $3,000.
4. Trace the balance-sheet and cash-flow effects. Accounts Receivable, an asset, increases by $3,000. The increase in income increases equity through retained earnings, so assets and equity each increase by $3,000; liabilities do not change from this entry. Cash does not change. Under the indirect method, the $3,000 increase in income is offset by a $3,000 increase in Accounts Receivable when reconciling income to operating cash flow. Thus, the adjustment itself does not create a cash receipt.
Check. Total earned revenue of $7,500 equals cash collected of $3,600 plus total receivables of $3,900. The entry recognizes the earned but unrecorded $3,000 without recording cash that has not been collected.
Why the Adjusting Entry Works
The adjustment follows from the timing of the economic activity. Completed work earns revenue in the period in which it is provided under the assumptions above. If the ledger contains only the amount already billed and recorded, leaving completed unbilled work out would understate both that period’s revenue and the amount owed by customers.
Let \(r\) be the amount of completed, unbilled work not yet recorded. The debit to Accounts Receivable increases assets by \(r\), because the customer owes that amount. The credit to revenue increases the period’s income by \(r\). With no liability or cash entry, the accounting equation remains balanced: the asset increase is matched by the increase in equity from income.
This entry is not an estimate of when the customer will pay. It records the amount earned under the stated contract terms. Later billing generally gives the customer a formal invoice for an amount already recognized; it does not create that revenue a second time. Later collection exchanges cash for the receivable and likewise does not create revenue again.
Common Mistake: Calling All Uncollected Revenue “Accrued”
In the first worked example, a tempting but incorrect calculation is to subtract cash collected from total revenue earned and call the result accrued revenue: \(\$12,600 - \$5,400 = \$7,200\). That $7,200 is not all accrued revenue. It combines $3,600 of billed but unpaid receivables with $3,600 of unbilled accrued revenue.
The correction is to identify billing and recording status as well as collection status. Four completed inspections are unbilled, so the adjusting entry is only \(4 \times \$900 = \$3,600\). The four unpaid invoices are already billed receivables and are not added again by this adjusting entry. After adjustment, total receivables are $7,200, but the accrued revenue adjustment is $3,600.
Check Your Understanding
For each problem, identify the amount to accrue separately from any billed but unpaid receivable.
- A technician earns $350 per completed calibration. By month-end, 7 calibrations are complete, 5 have been invoiced and recorded, and the customer has paid for 3. Find accrued revenue and total receivables after adjustment. (Answer: accrued revenue $700; total receivables $1,400.)
- A testing firm earns $225 per completed assessment. It has completed 40 assessments, invoiced and recorded 32, and collected payment for 25. Find accrued revenue, billed but unpaid receivables, total receivables after adjustment, and cash collected. (Answer: accrued revenue $1,800; billed but unpaid receivables $1,575; total receivables $3,375; cash collected $5,625.)
- A hypothetical support contract pays a fixed fee of $5,400, earned evenly over a 30-day service period. At the reporting date, 17 days have been provided, and none of the earned amount has been billed or recorded. Find the adjustment and the fee remaining unearned under the stated even-earning assumption. (Answer: adjustment $3,060; fee remaining unearned $2,340.)
- A service firm charges $1,100 per completed installation. It has completed 12 installations, invoiced and recorded 9, and collected payment for 6. Find accrued revenue, billed but unpaid receivables, total receivables after adjustment, and total revenue earned. (Answer: accrued revenue $3,300; billed but unpaid receivables $3,300; total receivables $6,600; total revenue earned $13,200.)
- A laboratory earns $160 for each completed analysis. At period-end, 50 analyses are complete, 42 have been invoiced and recorded, and customers have paid for 30. Prepare the adjustment and calculate adjusted revenue, billed but unpaid receivables, total receivables, and cash collected. (Answer: adjustment $1,280; adjusted revenue $8,000; billed but unpaid receivables $1,920; total receivables $3,200; cash collected $4,800.)