Why Accruals and Deferrals Change the Cash-Flow Bridge
Under accrual accounting, revenue is generally recognized when earned and expenses when incurred, not necessarily when cash changes hands. The indirect method starts with net income, which reflects those accrual-based amounts, then adjusts for the timing difference between recognition and cash receipt or payment. For this tutorial, the key balances are deferred revenue, accrued operating expenses, and prepaid expenses.
The adjustment depends on both the account’s type and the direction of its change. Deferred revenue and accrued expenses are liabilities; prepaid expenses are assets. A liability increase generally raises operating cash flow relative to net income, while an operating asset increase generally lowers it. These rules apply only when the balance belongs to operating activities and changes for the reason assumed in the calculation.
For an account change, use ending balance minus beginning balance. Thus, \(\Delta D\) is the change in deferred revenue, \(\Delta L\) is the change in an accrued operating-expense liability, and \(\Delta P\) is the change in a prepaid-expense asset. A positive change means the balance increased; a negative change means it decreased.
The expression \(-\Delta P\) means that a prepaid asset increase is subtracted and a decrease is added. The expressions \(+\Delta D\) and \(+\Delta L\) mean that a liability increase is added and a decrease is subtracted.
Deriving the Adjustments From Account Roll-Forwards
The signs follow from the way the balances connect expense or revenue recognition to cash. The equations below assume no write-offs, refunds, foreign-currency effects, acquisitions, or other changes to these accounts. If such items are present, the balance change alone may not measure cash timing; the additional changes must be identified separately.
Cash received increases deferred revenue; revenue earned decreases it. Therefore, cash received equals revenue recognized plus the increase in deferred revenue.
An expense incurred increases the accrued liability; paying it decreases the liability. Cash paid equals expense recognized minus the increase in the accrued liability.
A cash payment increases the prepaid asset; recognizing expense decreases it. Cash paid equals expense recognized plus the increase in the prepaid asset.
These account equations also justify the indirect-method signs. When deferred revenue increases, cash receipts exceed the revenue included in net income, so add the increase. When an accrued expense liability increases, cash paid is less than the expense deducted in net income, so add the increase. When a prepaid asset increases, cash paid exceeds the expense deducted in net income, so subtract the increase.
For the accrued-expense equation, an increase in the liability means some current expense remains unpaid, reducing cash paid relative to expense. For a prepaid asset, an increase means cash was paid for more than the amount expensed in the period. This is the reason for the opposite signs on operating liability and asset increases.
Worked Examples
Worked Example: Combining Three Operating Balance Changes
A hypothetical firm reports net income of $240,000. Depreciation expense is $30,000. Deferred revenue increased from $18,000 to $25,000; accrued operating expenses decreased from $12,000 to $9,000; and prepaid insurance increased from $4,000 to $10,000. Assume the balances changed only through ordinary operating receipts, expense recognition, and cash payments. All other indirect-method adjustments are zero. Find net cash provided by operating activities.
Method. Begin with net income, add depreciation because it reduced income without using current-period cash, and apply the three operating-balance changes. The depreciation adjustment is included as a given established part of the indirect-method bridge; the calculation here focuses on the accrual and deferral balances.
Deferred revenue: the change is \(25{,}000-18{,}000=7{,}000\). It is a liability increase, so add $7,000.
Accrued operating expenses: the change is \(9{,}000-12{,}000=-3{,}000\). It is a liability decrease, so subtract $3,000.
Prepaid insurance: the change is \(10{,}000-4{,}000=6{,}000\). It is an asset increase, so subtract $6,000.
Check. The net adjustment from these three operating balances is \(7{,}000-3{,}000-6{,}000=-2{,}000\). Adding that adjustment and depreciation to net income gives \(240{,}000-2{,}000+30{,}000=\$268{,}000\). A common mistake is to add every liability and asset change; the prepaid asset increase must instead be subtracted.
Worked Example: Converting Recognized Revenue to Cash Received
A hypothetical membership organization recognized $310,000 of membership revenue during the year. Deferred membership revenue was $42,000 at the beginning of the year and $57,000 at year-end. Assume all changes arise from cash receipts and revenue earned, with no refunds or write-offs. Find cash received from members and the indirect-method adjustment for the deferred-revenue change.
Method. Apply the deferred-revenue roll-forward: cash received equals revenue recognized plus the increase in the liability.
The liability increased by \(57{,}000-42{,}000=\$15{,}000\). The increase represents cash received for memberships not yet recognized as revenue. Therefore:
The indirect method adds the same $15,000 increase to net income, because the cash received exceeded the revenue recognized by $15,000. The result is consistent: the revenue component in the cash-flow bridge is $325,000, not $310,000.
Check. The cash receipts exceed recognized revenue by $15,000, exactly the increase in deferred revenue. A common mistake is to subtract the liability increase because it is “deferred.” That would incorrectly produce $295,000 and reverse the cash-receipt relationship.
Worked Example: Reconciling Accrued Payroll and Prepaid Insurance
A hypothetical company incurred $184,000 of payroll expense. Accrued payroll was $11,000 at the start of the year and $16,000 at year-end. It also recognized $24,000 of insurance expense; prepaid insurance fell from $7,000 to $3,000. Assume there were no other account changes. Find cash paid for payroll and insurance, then determine their combined indirect-method adjustment.
Method. For the accrued payroll liability, cash paid equals expense minus the liability increase. For the prepaid asset, cash paid equals expense plus the asset increase.
Payroll liability change: \(16{,}000-11{,}000=\$5{,}000\). Thus, payroll cash paid is \(184{,}000-5{,}000=\$179{,}000\). The liability increase adjustment is positive $5,000.
Prepaid insurance change: \(3{,}000-7{,}000=-\$4{,}000\). Thus, insurance cash paid is \(24{,}000+(-4{,}000)=\$20{,}000\). Because the prepaid asset decreased, the indirect adjustment is \(-\Delta P=-(-4{,}000)=+\$4{,}000\).
Check. Cash paid is $9,000 less than the $208,000 combined expense, so operating cash flow is $9,000 higher than it would be if cash paid equaled expense. This matches the positive $9,000 adjustment. A common mistake is to subtract the $4,000 decrease in prepaid insurance; because the asset fell, less cash was paid in the period than the expense recognized, so the adjustment is an addition.
Worked Example: Excluding Financing and Investing Balances
A hypothetical corporation reports net income of $120,000 and depreciation expense of $12,000. Deferred revenue decreased by $4,000, accrued operating expenses increased by $7,000, and prepaid operating expenses increased by $5,000. A note payable increased by $15,000 from new borrowing, and an amount payable for equipment increased by $9,000. Assume U.S. GAAP classification, no other adjustments, and that the equipment payable relates solely to a property, plant, and equipment purchase. Find net cash provided by operating activities.
Method. Adjust net income for noncash depreciation and the three operating balances. Do not include the note-principal increase, which is a financing balance, or the equipment payable increase, which relates to an investing purchase rather than an operating expense.
Deferred revenue decreased by $4,000, so subtract $4,000. Accrued operating expenses increased by $7,000, so add $7,000. Prepaid operating expenses increased by $5,000, so subtract $5,000. Therefore:
The $15,000 borrowing and $9,000 equipment payable change are excluded from this operating subtotal. The former concerns financing; the latter concerns an investing asset purchase. Their treatment in the full statement of cash flows is outside this operating adjustment calculation.
Check. The net adjustment from the three operating balances is \(-4{,}000+7{,}000-5{,}000=-\$2{,}000\); adding $12,000 of depreciation gives a total net adjustment of $10,000 and operating cash flow of $130,000. A common mistake is to add every increase in a liability. An increase in a financing balance or an investing-related payable is not automatically an operating adjustment.
Classification and Conditions to Check
Before using an account change in the operating section, identify what caused the balance. The indirect method adjusts net income for operating timing differences, not for every balance-sheet change. A payable for current-period utilities is an operating accrued expense; a note issued to borrow money is a financing liability. An amount due for equipment is related to an investing purchase, not an operating expense. The account label alone is not enough to establish classification.
| Balance change | Operating adjustment when it is an operating balance | Reason |
|---|---|---|
| Deferred revenue increases | Add the increase | Cash received exceeds revenue recognized |
| Accrued operating expense liability increases | Add the increase | Expense recognized exceeds cash paid |
| Prepaid operating expense asset increases | Subtract the increase | Cash paid exceeds expense recognized |
| Financing liability increases | Do not adjust operating cash flow for principal borrowing | Borrowing is a financing cash flow |
| Payable for an investing asset purchase increases | Do not treat it as an operating payable | It relates to an investing transaction |
Reporting rules and the nature of a balance matter. For example, classification policies for certain interest and dividend cash flows can vary across accounting frameworks. Apply the framework stated in a problem rather than assuming that every accrued liability receives the same classification. Also check whether balances were affected by noncash transactions: if they were, the simple change-based formulas need adjustment to isolate the operating portion.
Common Sign and Classification Traps
- Using the balance change backwards. Compute ending balance minus beginning balance before assigning a sign. Do not infer an increase or decrease from the account’s label.
- Applying liability signs to prepaid assets. Deferred revenue and accrued expenses are liabilities; prepaids are assets. An increase in prepaid expenses is subtracted, not added.
- Treating a decrease as automatically negative. A decrease in an operating liability is subtracted, but a decrease in an operating asset is added under the indirect method.
- Adjusting for nonoperating balances in operating cash flow. Separate operating timing balances from amounts arising from borrowing or purchases of long-lived assets.
- Assuming the whole balance change is cash-related. Reorganizations, write-offs, reclassifications, and noncash transactions can change an account without changing operating cash. Identify and remove such effects when the data provide them.
Check Your Understanding
For each problem, identify the account change before applying its indirect-method sign.
- A service firm recognized $96,000 of revenue. Deferred revenue rose from $14,000 to $20,000, with no refunds or other changes. What cash receipts correspond to this revenue, and what is the indirect-method adjustment? (Answer: cash receipts are $102,000; add $6,000.)
- A company incurred $48,000 of utility expense. The accrued utility liability fell from $5,000 to $2,000. How much cash was paid, and what is the adjustment? (Answer: cash paid is $51,000; subtract $3,000.)
- A business recognized $30,000 of maintenance expense. Prepaid maintenance increased from $9,000 to $13,000. Find cash paid and the indirect-method adjustment. (Answer: cash paid is $34,000; subtract $4,000.)
- Net income is $75,000 and depreciation is $6,000. Deferred revenue increased by $2,000, an accrued operating liability decreased by $1,000, and prepaid expenses decreased by $3,000. All other adjustments are zero. Find operating cash flow. (Answer: $85,000.)
- Net income is $120,000 and depreciation is $12,000. An operating accrued liability increased by $7,000, prepaid operating expenses increased by $5,000, and deferred revenue decreased by $4,000. A note payable increased by $15,000 through borrowing, and a payable for equipment increased by $9,000. Under the stated U.S. GAAP assumptions in the problem, what is operating cash flow? (Answer: $130,000; exclude the note borrowing and equipment payable changes from operating cash flow.)