CFA Level 1 · Module 04 Financial Statement Analysis · Chapter 5
The previous reading built the statement of cash flows and computed the three section totals. This reading does the more interesting work: it teaches you to read those totals. A cash flow statement is not just an arithmetic check on the cash balance; it is a story about where a business gets its money and where that money goes, and the shape of that story separates a company that is compounding value from one that is quietly living on borrowed time.
We work through four skills in order. First, interpreting the raw pattern of sources and uses across operating, investing, and financing. Second, common-size analysis, which rescales the statement so companies of different sizes can be compared and so trends inside one company stand out. Third, free cash flow, the cash a business generates after paying for the investment it needs to keep running, split into the amount available to all capital providers (FCFF) and the amount available to shareholders alone (FCFE). Fourth, the family of cash flow ratios that turn the statement into performance and coverage measures. Every company and every number below is invented by MidhaFin to teach the mechanics; none is taken from the source curriculum or any prep provider. Formulas and standard terminology belong to everyone and are used freely.
The first question to ask of any cash flow statement is simple: where did the cash come from, and where did it go. The three section totals answer it. Operating cash flow (CFO) is the cash the core business produced. Investing cash flow (CFI) is usually negative for a growing company, because it is spending on new assets. Financing cash flow (CFF) shows whether the company raised money from lenders and shareholders or returned it to them. What matters is not each total in isolation but the relationship between them.
The single most important relationship is whether CFO is large enough to pay for the investment the business needs and the dividends it has committed to, without help from outside financing. A company that funds its own capital expenditure and its own dividend out of operating cash is self-sustaining. A company that has to borrow or sell assets to cover the same items is running on external support, and external support can be withdrawn.
The cash balance can rise for a good reason or a bad reason, and the net change alone cannot tell them apart. A company can grow its cash by generating strong operating cash flow, or it can grow its cash by borrowing heavily and selling off equipment. Both show the same positive change in cash at the bottom of the statement. The section breakdown is what reveals which one you are looking at, so never judge cash health by the change in cash alone.
The classifications of the three signs, positive or negative, give a quick read on where a company sits in its life. A mature, healthy business typically shows positive CFO, negative CFI (reinvesting), and negative CFF (repaying debt and paying dividends): it earns cash and distributes it. A young, growing business often shows positive CFO, negative CFI, and positive CFF: it earns some cash but still raises more to fund expansion. The pattern that should stop an analyst is negative CFO combined with positive CFI and positive CFF, because it means the business is not generating cash and is instead selling assets and borrowing to stay afloat.
Setup. Two invented companies each report that their cash balance rose during the year. Aster Freight reports CFO of positive 900,000, CFI of negative 500,000 (all capital expenditure), and CFF made up of dividends paid of 150,000 and net debt repaid of 100,000. Bramble Retail reports CFO of negative 200,000, CFI of positive 400,000 (proceeds from selling warehouses), and CFF of positive 300,000 (new borrowing). Compute each company’s net change in cash and judge which pattern is healthy.
Answer: Aster grew cash by 150,000 and Bramble grew cash by 500,000, yet Aster is the healthy company. So what does this number mean? Bramble’s larger increase in cash is the weaker result, because none of it came from the business itself. Selling the warehouses is a one-time source that cannot repeat, and the new borrowing has to be serviced and repaid. Judged on the bottom line alone, Bramble looks better; judged on the sources of the cash, Aster is far stronger.
| CFO | CFI | CFF | Typical interpretation |
|---|---|---|---|
| Positive | Negative | Negative | Mature and healthy: earns cash, reinvests, and returns capital to lenders and owners |
| Positive | Negative | Positive | Growing: earns cash but still raises external funding to expand faster |
| Positive | Positive | Negative | Winding down or restructuring: selling assets and using the cash to repay capital |
| Negative | Positive | Positive | Warning: core business burns cash, funded by selling assets and borrowing |
Do not treat a large positive investing cash flow as good news by reflex. Positive CFI means the company sold more long-term assets than it bought, which shrinks the productive base of the business. For a healthy growing company, CFI should normally be negative, because it is investing. A sudden swing of CFI to strongly positive, especially alongside weak CFO, usually means the company is selling assets to raise cash it cannot generate from operations.
Raw cash flow numbers are hard to compare across companies of different sizes and hard to track across years as a business grows. Common-size analysis fixes this by expressing each line as a percentage rather than a currency amount, which strips out scale and leaves the structure. For the cash flow statement there are two accepted ways to do it, and they answer different questions.
The first method expresses each inflow as a percent of total cash inflows and each outflow as a percent of total cash outflows. This shows the composition of where cash came from and where it went: what share of all incoming cash came from customers versus from borrowing, and what share of all outgoing cash went to suppliers versus to capital expenditure. The second method expresses every line as a percent of net revenue. This ties the cash flow statement to the top line of the income statement and lets you see, for example, how many cents of operating cash the business produces per unit of sales, and track that figure over time.
Inflow lines are divided by total cash inflows and outflow lines by total cash outflows. Under method 2, every line is instead divided by net revenue. Method 1 shows the composition of cash movements; method 2 links cash flows to sales.
Setup. Cobalt Retail, an invented company, reports total cash inflows of 4,000,000 for the year, made up of cash collected from customers 3,600,000, proceeds from selling old fixtures 100,000, proceeds from new borrowing 200,000, and proceeds from issuing shares 100,000. Its total cash outflows of 3,800,000 are cash paid to suppliers and employees 2,660,000, interest and taxes 380,000, capital expenditure 570,000, and dividends 190,000. Build the method-1 common-size statement.
Answer: 90% of all cash coming in was collected from customers, and only 7.5% came from financing sources. So what does this number mean? Cobalt is funded overwhelmingly by its own customers rather than by lenders or new shareholders, which is the composition an analyst wants to see. On the outflow side, 70% of cash went to running the business and 15% to investment, leaving the company comfortably able to cover its dividend from within.
| Cash flow line | Amount | % of inflows or outflows | % of net revenue |
|---|---|---|---|
| Cash collected from customers | 3,600,000 | 90.0% | 90.0% |
| Proceeds from selling fixtures | 100,000 | 2.5% | 2.5% |
| Proceeds from new borrowing | 200,000 | 5.0% | 5.0% |
| Proceeds from issuing shares | 100,000 | 2.5% | 2.5% |
| Cash paid to suppliers and employees | (2,660,000) | 70.0% | 66.5% |
| Interest and taxes paid | (380,000) | 10.0% | 9.5% |
| Capital expenditure | (570,000) | 15.0% | 14.25% |
| Dividends paid | (190,000) | 5.0% | 4.75% |
Setup. Cobalt Retail reports net revenue of 4,000,000 on its income statement. Using the same cash figures, express cash collected from customers, operating cash flow, and capital expenditure as a percent of net revenue, where operating cash flow is cash from customers less cash paid to suppliers, employees, interest, and taxes.
Answer: Cobalt collects 90 cents of cash per unit of revenue, keeps 14 cents of that as operating cash flow, and spends about 14 cents of revenue on capital expenditure. So what does this number mean? Method 2 turns the statement into per-sale intuition: for every unit of goods sold, roughly 14 cents ends up as operating cash, almost all of which is currently being reinvested in new assets. Tracked over several years, a falling operating-cash-to-revenue figure would flag that sales are growing faster than the cash they produce.
Operating cash flow is a good measure, but it ignores one unavoidable cost: a business must keep investing in long-term assets simply to stay in operation. Free cash flow corrects for this by subtracting the investment the company needs. It is the cash left over after the business has paid its operating costs and made the capital investment required to maintain and grow its asset base. Free cash flow comes in two versions depending on whose cash you want to measure.
Free cash flow to the firm (FCFF) is the cash available to all providers of capital, both lenders and shareholders, after operating expenses and investment but before any financing payments. Because it is measured before financing, the cash paid to lenders as interest must be excluded from the deduction, which is why interest is added back. The add-back is done on an after-tax basis, because interest is tax deductible: paying interest lowered the company’s tax bill, so adding back the full pre-tax interest would overstate the cash freed up. The after-tax cost is interest multiplied by one minus the tax rate.
where CFO is operating cash flow, Interest is interest expense that was deducted in arriving at CFO, the tax rate is the marginal rate, and fixed capital investment (FCInv) is cash spent on long-term assets, that is, capital expenditure net of proceeds from asset sales. The interest add-back applies only where interest paid was classified as operating, as it is under US GAAP.
This is the same FCFF reached from net income instead of from CFO, using the fact that CFO equals net income plus non-cash charges (NCC, such as depreciation) minus working capital investment (WCInv, the increase in operating working capital). Both routes give the identical figure.
Setup. Larkspur Textiles, an invented company, reports net income of 360,000, depreciation of 200,000, and an increase in operating working capital of 60,000, which together give operating cash flow of 500,000. Interest expense was 80,000, the marginal tax rate is 25%, and fixed capital investment for the year was 300,000. Compute FCFF from CFO and confirm it from net income.
Answer: FCFF is 260,000 by both routes. So what does this number mean? After running the business and reinvesting 300,000 in fixed assets, Larkspur has 260,000 of cash available to hand to everyone who financed it, lenders and shareholders combined. The interest add-back is what makes this a firm-level figure: it measures the cash the whole enterprise threw off, before deciding how much of it goes to debt and how much to equity.
The most common FCFF error is forgetting to tax-adjust the interest add-back, or adding back the full pre-tax interest. Anchor on the logic: FCFF is pre-financing cash, so interest (a financing payment buried in CFO) is added back, but only its after-tax amount, because the interest deduction already saved the company tax. If a question gives you CFO, interest, the tax rate, and capital expenditure, the answer is almost always CFO plus interest times one minus the tax rate, minus capital expenditure.
Free cash flow to equity (FCFE) narrows the view to the owners. It is the cash available to common shareholders after the business has paid its operating costs, made its required investment, and settled its obligations to lenders, including the net amount of any borrowing or repayment. Where FCFF is the pool for everyone, FCFE is what remains for equity once debt holders have been served.
Two things change relative to FCFF. First, there is no interest add-back, because FCFE is an after-financing measure: the interest paid to lenders is exactly the kind of payment FCFE is measured after. Second, net borrowing enters the calculation. If the company borrows more than it repays during the year, that new debt is cash that flows to shareholders as well, so it is added; if it repays more than it borrows, net borrowing is negative and reduces the cash left for equity.
where net borrowing is new debt issued minus debt repaid during the period. No interest add-back appears, because interest paid to lenders is a payment FCFE is measured after. When CFO already reflects interest paid, this formula gives the cash truly available to common equity.
This links the two measures directly: starting from FCFF, remove the after-tax interest that belongs to lenders and add net borrowing to reach the cash that belongs to equity. The two FCFE formulas are algebraically identical.
Setup. Continue with Larkspur Textiles: CFO of 500,000, fixed capital investment of 300,000, interest of 80,000, tax rate of 25%, and FCFF of 260,000 from Worked Example 4. During the year the company issued 90,000 of new debt and repaid 50,000, so net borrowing was 40,000. Compute FCFE both ways.
Answer: FCFE is 240,000 by both routes. So what does this number mean? After investing in assets and after settling with lenders on a net basis, Larkspur generated 240,000 of cash that genuinely belongs to its common shareholders. That is the pool available to pay dividends, buy back shares, or build up cash for the owners. FCFE is lower than FCFF by 20,000, which is the after-tax interest of 60,000 that went to lenders, partly offset by the 40,000 of net new borrowing that came back into the firm.
Match the free cash flow to the claim you are valuing. FCFF is discounted at the weighted average cost of capital, because it belongs to the whole capital structure; FCFE is discounted at the cost of equity, because it belongs to shareholders alone. Mixing them, for example discounting FCFE at the cost of capital, double counts the lenders. The choice of which free cash flow to use is really a choice about whose cash you are trying to value.
Cash flow ratios put the statement to work as a performance tool, and they come in two families. Performance ratios measure how much cash a business produces relative to its sales, its profit, and its asset base. Because they use operating cash flow rather than accrual earnings, they are harder to manipulate and often give an earlier warning when reported profit and real cash begin to diverge. Every ratio below uses CFO in the numerator; only the base changes.
Related performance measures: CFO-to-operating-income = CFO ÷ operating income; cash return on equity = CFO ÷ average shareholders equity; cash flow per share = (CFO − preferred dividends) ÷ weighted average common shares. Averages use the opening and closing balance-sheet figures.
Setup. Larkspur Textiles reports net revenue of 4,000,000, operating income of 600,000, and operating cash flow of 500,000. Its average total assets were 2,500,000, its average shareholders equity was 1,600,000, it has 400,000 common shares outstanding, and it paid no preferred dividends. Compute the five performance ratios.
Answer: CFO-to-revenue 12.5%, CFO-to-operating-income 83.3%, cash return on assets 20%, cash return on equity 31.25%, and cash flow per share 1.25. So what does this number mean? Larkspur converts 12.5 cents of every revenue unit into operating cash, and it turns 83 cents of each unit of operating profit into actual cash, a high ratio that says its earnings are well backed by cash rather than by accruals. The 20% cash return on assets means the asset base throws off one fifth of its value in operating cash each year, a strong result for a manufacturer.
| Ratio | Formula | Value |
|---|---|---|
| CFO-to-revenue | CFO ÷ net revenue | 12.5% |
| CFO-to-operating-income | CFO ÷ operating income | 83.3% |
| Cash return on assets | CFO ÷ average total assets | 20.0% |
| Cash return on equity | CFO ÷ average equity | 31.25% |
| Cash flow per share | (CFO − preferred dividends) ÷ shares | 1.25 |
Do not compare cash flow per share directly with earnings per share and expect them to be close, and do not read a single ratio in isolation. A cash flow ratio only becomes meaningful against the company’s own history and against its peers. A cash return on assets of 20% sounds strong, but it is only a genuine signal once you know that the industry typically runs at, say, 12%, or that the company itself ran at 15% last year. The absolute number is a starting point, not a verdict.
The second family, coverage ratios, asks a different question: can the operating cash the business generates comfortably meet the obligations it faces. Here CFO is measured against debt, interest, capital expenditure, debt repayments, dividends, and total investing and financing outflows. A coverage ratio above the level the obligation demands is reassuring; a ratio that is thin or falling is a solvency warning that often appears in the cash flow statement before it appears anywhere else.
Interest paid and taxes paid are added back in the interest coverage numerator because both were already deducted in arriving at CFO, so they must be restored to measure the cash available to service interest. Other coverage measures: reinvestment = CFO ÷ capital expenditure; debt payment = CFO ÷ cash long-term debt repayment; dividend payment = CFO ÷ dividends paid; investing and financing = CFO ÷ cash outflows for investing and financing.
Setup. Larkspur Textiles reports operating cash flow of 500,000. Its total debt is 1,250,000, interest paid was 80,000, taxes paid were 100,000, capital expenditure was 300,000, cash used to repay long-term debt was 200,000, and dividends paid were 100,000. Its cash outflows for investing and financing together (capital expenditure of 300,000, debt repayment of 200,000, and dividends of 100,000) were 600,000. Compute the six coverage ratios.
Answer: debt coverage 40%, interest coverage 8.5 times, reinvestment 1.67 times, debt payment 2.5 times, dividend payment 5.0 times, and investing and financing coverage 0.83 times. So what does this number mean? Operating cash covers Larkspur’s interest bill 8.5 times over and its dividend 5 times over, both very comfortable margins. But the investing and financing ratio of 0.83 is below 1.0, which means operating cash did not quite cover everything the company chose to spend on investment, debt repayment, and dividends combined, so it drew a little on existing cash or new financing to close the gap. That is normal for a company still expanding, but it is the ratio to watch if the shortfall widens.
| Ratio | Formula | Value |
|---|---|---|
| Debt coverage | CFO ÷ total debt | 40.0% |
| Interest coverage | (CFO + interest paid + taxes paid) ÷ interest paid | 8.5x |
| Reinvestment | CFO ÷ capital expenditure | 1.67x |
| Debt payment | CFO ÷ cash long-term debt repayment | 2.5x |
| Dividend payment | CFO ÷ dividends paid | 5.0x |
| Investing and financing | CFO ÷ investing and financing outflows | 0.83x |
The interest coverage ratio built from cash flow adds interest paid and taxes paid back to CFO in the numerator, which trips up candidates who expect a plain CFO figure. The reasoning is that both were already subtracted to get CFO, so restoring them gives the cash the business had available before servicing interest. Contrast this with the earnings-based interest coverage from an earlier reading, which uses EBIT over interest expense. Same idea, different inputs: one measures interest cover in accrual profit, the other in cash.
A company reports CFO of positive 1,000,000, CFI of negative 800,000 (all capital expenditure), and CFF of negative 150,000 (dividends and net debt repaid). Is this a healthy or a warning cash flow pattern, and why?
Healthy. Operating cash flow of 1,000,000 fully funded the 800,000 of capital expenditure and still left enough to return 150,000 to lenders and shareholders, all from within the business. Positive CFO with negative CFI and negative CFF is the classic profile of a mature, self-sustaining company that earns its cash, reinvests, and distributes the rest.
In a common-size cash flow statement built on total inflows, cash collected from customers is 60% of total inflows while proceeds from borrowing are 35%. What does this composition suggest?
It suggests heavy reliance on financing rather than on operations. When more than a third of all incoming cash comes from borrowing and only 60% from customers, the business is leaning on lenders to fund itself. An analyst would want to see the customer share far higher and the borrowing share much lower, and would track whether the borrowing share is rising year on year, which would be a deterioration.
A company reports CFO of 800,000, interest expense of 100,000, a tax rate of 20%, and capital expenditure of 350,000. Compute FCFF.
530,000. FCFF equals CFO plus after-tax interest minus fixed capital investment: 800,000 + 100,000 × (1 − 0.20) − 350,000 = 800,000 + 80,000 − 350,000 = 530,000. The interest is added back because FCFF is measured before financing, and it is tax adjusted because the interest deduction already reduced the tax bill.
Why is after-tax interest added back when computing FCFF, but not when computing FCFE?
Because FCFF is the cash available to all providers of capital before financing, so the interest paid to lenders must be restored to it; the add-back is after tax because interest is tax deductible and the deduction already lowered taxes. FCFE, by contrast, is the cash available to shareholders after lenders have been paid, so interest is a payment it is measured after, and it is not added back. FCFE instead adjusts for net borrowing.
A company reports CFO of 600,000, capital expenditure of 250,000, and net borrowing of 50,000. Compute FCFE.
400,000. FCFE equals CFO minus fixed capital investment plus net borrowing: 600,000 − 250,000 + 50,000 = 400,000. The net borrowing of 50,000 is added because new debt raised, over and above repayments, is additional cash that flows through to the shareholders during the period.
A company reports operating cash flow of 720,000 and average total assets of 4,800,000. Compute its cash return on assets and say what it measures.
15%. Cash return on assets equals CFO divided by average total assets: 720,000 ÷ 4,800,000 = 15%. It measures how much operating cash the company’s entire asset base generates each year, using cash rather than accrual profit in the numerator, which makes it harder to flatter with accounting choices than a conventional return on assets.
A company reports CFO of 900,000, interest paid of 120,000, and taxes paid of 180,000. Compute its cash-based interest coverage ratio.
10.0 times. Cash interest coverage equals (CFO plus interest paid plus taxes paid) divided by interest paid: (900,000 + 120,000 + 180,000) ÷ 120,000 = 1,200,000 ÷ 120,000 = 10.0. Interest paid and taxes paid are added back because both were already subtracted in arriving at CFO, so they are restored to show the cash available before interest is serviced.
A healthy pattern is positive operating cash flow that is large enough to pay for the company’s capital expenditure and its dividends from within the business, usually shown as positive CFO with negative investing and negative financing cash flows. A warning pattern is negative or very thin operating cash flow combined with a cash balance that is being kept up by borrowing or by selling assets, often shown as negative CFO with positive investing and positive financing flows. The net change in cash alone cannot tell the two apart, because both can produce a rising cash balance; only the section breakdown reveals the source.
The first method expresses each inflow as a percent of total cash inflows and each outflow as a percent of total cash outflows, which shows the composition of where cash came from and where it went. The second method expresses every line as a percent of net revenue, which ties the cash flow statement to the top line of the income statement and lets you see how many cents of operating cash the business produces per unit of sales. The first is best for reading structure, the second for tracking cash generation against sales over time.
FCFF, free cash flow to the firm, is the cash available to all providers of capital, both lenders and shareholders, after operating costs and after the investment the business needs, but before financing payments. FCFE, free cash flow to equity, is the cash available to common shareholders alone, after lenders have been served, including the net effect of borrowing and repayment. FCFF is the larger pool because it belongs to the whole capital structure; FCFE is what is left for equity once debt has been accounted for.
FCFF measures the cash available to the whole firm before any financing decision, so the interest paid to lenders, which is a financing payment, must be added back to the operating cash flow that already had it deducted. The add-back is done after tax, meaning interest multiplied by one minus the tax rate, because interest is tax deductible: paying it reduced the company’s tax bill, so only the net-of-tax amount of cash was actually consumed by interest. Adding back the full pre-tax interest would overstate the cash the firm freed up.
FCFE is the cash that belongs to shareholders after lenders are dealt with, so it must reflect the cash lenders put in or took out during the year. New debt raised, net of repayments, is cash that flows through to the equity holders, so net borrowing is added; if the company repays more than it borrows, net borrowing is negative and reduces the cash left for equity. FCFF sits before the financing decision entirely, so it neither adds back net borrowing nor subtracts interest paid to lenders on a net basis.
Cash return on assets divides operating cash flow, rather than net income, by average total assets, so it measures how much actual cash the asset base generates instead of how much accrual profit it reports. Because operating cash flow is harder to influence with accounting choices than net income, the cash version often gives an earlier and more reliable signal when a company’s reported earnings are running ahead of the cash those earnings produce. A healthy business should show the two measures moving broadly together; a persistent gap is worth investigating.
Coverage ratios test whether a company can meet its obligations, and obligations are settled in cash, not in accrual profit. A firm can report solid earnings while its cash is trapped in rising receivables and inventory, which would make an earnings-based coverage ratio look safer than the company really is. Cash flow coverage ratios, such as CFO divided by total debt or the cash interest coverage ratio, measure ability to pay against the cash actually generated, so they are a more direct test of solvency and are often a leading indicator of trouble.
No. Neither free cash flow measure is a line a company reports on its statement of cash flows; both are analytical figures the reader constructs from the statement and the income statement. To build them you take operating cash flow, adjust for the fixed capital investment the business made, and then either add back after-tax interest for FCFF or add net borrowing for FCFE. Because they are computed rather than reported, always check which definition and which inputs a given source is using before comparing free cash flow across companies.
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