Building the Cash Flow Statement by the Indirect Method

Almost every company on earth files its cash flow statement using the indirect method: start at net income, then undo the accounting one adjustment at a time until only cash is left. It looks like a list of unrelated corrections — add depreciation, subtract the increase in receivables, add the increase in payables — and students memorise the list without ever seeing why it is that list.

There is only one reason, and it fits on a line. The balance sheet says assets equal liabilities plus equity. Cash is one of the assets, so pull it out and rearrange:

$$\Delta\,\text{cash} = \Delta(\text{liabilities} + \text{equity}) - \Delta(\text{non-cash assets})$$

In words: the bank balance rises when the company owes more or has earned more, and falls when money gets locked up in something that is not cash. The indirect cash flow statement is that single equation, sorted into three tidy piles.

The four-step build

1. Start at net income. It already contains every revenue and expense, cash or not.
2. Reverse the non-cash items. Add back depreciation and amortization, stock-based compensation, impairments, deferred tax expense and non-cash losses. Subtract non-cash gains — equity-method income you never received in cash, and gains on asset sales, which belong in investing.
3. Adjust for operating working capital. Apply the sign rule to receivables, inventory, prepaid expenses, payables and accrued liabilities.
4. Sort what is left. Changes in long-term assets go to investing; changes in debt and share capital, plus dividends paid, go to financing.

Worked example: rebuilding a statement from two balance sheets

All figures in millions. The income statement for year 2 shows revenue 900, cost of goods sold 540, selling and administrative expense 180, depreciation and amortization 60, a gain on sale of equipment of 5, interest expense 20, tax of 25 and net income of 80. Stock-based compensation of 18 sits inside the expense lines. Equipment with a net book value of 15 was sold for 20 cash. Dividends of 30 were paid.

$m	Year 1	Year 2	Change
Cash	60	152	+92
Accounts receivable	150	185	+35
Inventory	120	108	−12
Net PP&E	450	470	+20
Total assets	780	915	+135
Accounts payable	95	118	+23
Accrued expenses	40	36	−4
Deferred tax liability	30	38	+8
Long-term debt	300	340	+40
Paid-in capital	120	138	+18
Retained earnings	195	245	+50
Total liabilities and equity	780	915	+135

Operating. Net income 80. Add back D&A 60, stock comp 18 and the deferred tax increase 8. Subtract the 5 gain on sale, because the cash from that equipment belongs in investing. Then working capital: receivables rose 35 so subtract 35; inventory fell 12 so add 12; payables rose 23 so add 23; accruals fell 4 so subtract 4.

$$80 + 60 + 18 + 8 - 5 - 35 + 12 + 23 - 4 = 157$$

Investing. Capital expenditure is not the change in net PP&E — the balance moved by only 20, but 60 of depreciation and a 15 disposal were pulling it down at the same time.

$$\text{capex} = \Delta\,\text{net PP\&E} + \text{D\&A} + \text{NBV of disposals} = 20 + 60 + 15 = 95$$

In words: to end 20 higher after 75 of the balance walked out through depreciation and a sale, the company must have put 95 in. Add the 20 of sale proceeds, and investing cash flow is $-95 + 20 = -75$.

Financing. Debt rose 40, dividends took 30, so financing is $+10$. Paid-in capital rose 18 but that is the stock-comp credit already added back in operating, not a share issue — no cash.

Tie it out. $157 - 75 + 10 = 92$, exactly the change in the cash line. Retained earnings also ties: $195 + 80 - 30 = 245$.

Worked example: the two places it goes wrong

Both errors in that build are worth doing deliberately once, to see the size of the damage.

Forgetting the gain on sale. Leave the 5 in operating cash flow and record the full 20 of proceeds in investing. Operating cash flow becomes 162, investing stays at −75, and the total is 97 — five too high, and the statement will not tie to the cash line. The gain is stripped from operating precisely because the entire 20 is being counted once, in investing.

Treating the change in PP&E as capex. An analyst who writes capex = 20 gets free cash flow of $157 - 20 = 137$ instead of $157 - 95 = 62$. That is more than double the true figure, from one line, on a company whose reported profit was only 80. Capital expenditure is almost never the movement in the asset balance, because depreciation is quietly running the other way every year.

When the balance sheet delta stops matching

The identity is exact for a company that only trades. Two events break the naive version, and both are disclosed.

Acquisitions. Buying a business brings its receivables, inventory and payables onto the consolidated balance sheet with no operating cash flow at all — the whole purchase is one investing line, "acquisitions, net of cash acquired". This is why filings label the working-capital section "changes in operating assets and liabilities, net of effects of acquisitions", and why the numbers there will not equal the balance sheet deltas for any acquisitive company.

Foreign currency translation. A subsidiary's balances get restated at new exchange rates, moving every account without any transaction occurring. The effect is quarantined in a separate line at the bottom of the statement, "effect of exchange rate changes on cash", which sits outside all three sections.

The direct method — listing actual cash receipts from customers and cash paid to suppliers — is permitted, more informative, and used by barely a handful of US filers, because it requires cash-basis records that most accounting systems do not maintain.

Key terms

• Indirect method — deriving operating cash flow by adjusting net income rather than listing cash receipts and payments.
• Sign rule — non-cash assets up, cash down; liabilities and equity up, cash up.
• Non-cash add-back — an expense that reduced profit without moving money: D&A, stock comp, impairments, deferred tax.
• Capex reconstruction — change in net PP&E, plus D&A, plus the net book value of disposals.
• Effect of exchange rate changes — the translation line that sits outside operating, investing and financing.