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Financial ratio analysis and the DuPont framework

Buysiders InstituteRead time: 13 minutes

Profitability, return, liquidity, leverage and efficiency ratios computed for one company, then ROE decomposed with three and five-step DuPont.

A financial ratio divides one number from the financial statements by another so that companies of different sizes, or one company across different years, can be compared. A $75m profit means little on its own. Profit of 9.4 cents per dollar of sales, or a 20 percent return on shareholders' equity, can be set against last year, against a competitor and against the cost of capital.

Ratios are the working language of screening. A private equity team filtering hundreds of companies, a credit analyst deciding whether a borrower deserves a closer look and an equity analyst comparing a sector all start with the same five families: profitability, returns, liquidity, leverage and coverage, and efficiency. None is difficult to compute. The skill is in using consistent definitions, knowing what each ratio can and cannot tell you, and tracing a change in a headline ratio back to the operating driver that caused it.

That last step is what the DuPont framework does. It breaks return on equity into margin, asset efficiency and leverage, so an analyst can see whether a high return comes from a strong business or from borrowed money. This topic computes every major ratio for one hypothetical company from a single set of statements, then decomposes its return on equity in three and five steps.

Key takeaways

  • Margins measure how much of each sales dollar survives each layer of cost; returns measure profit against the capital used to produce it.
  • Return ratios should use average balances over the period, because profit is earned over the period while balance sheets are snapshots.
  • ROIC uses after-tax operating profit (NOPAT) over debt plus equity less cash, so it measures the business independently of how it is financed.
  • Liquidity ratios test short-term obligations, leverage ratios test the size of debt, and coverage ratios test whether earnings can service it.
  • Three-step DuPont splits ROE into net margin, asset turnover and the equity multiplier; five-step further separates tax burden, interest burden and operating margin.
  • Two companies with the same ROE can have opposite risk profiles, one earning it on margin and the other on leverage, which only the decomposition reveals.

Ground rules and the example company

Three rules make ratios useful rather than misleading. First, compare like with like: the same definition across years and across companies, and the same accounting framework where possible. Second, when a ratio divides a flow from the income statement by a stock from the balance sheet, use the average of the opening and closing balances, because the profit was earned across the whole year. Analysts often use year-end balances for speed; that is acceptable if it is done consistently and the balance sheet did not change sharply. Third, a ratio is a question, not an answer. A falling current ratio could mean a liquidity problem or a deliberate reduction in idle cash.

Every ratio in this topic is computed for Granite Tools, a hypothetical maker of industrial hand tools, from the statements below. Figures are in $m, the tax rate is 25 percent, and cash taxes equal tax expense. Granite pays $30m a year in operating lease cost, included in SG&A under ASC 842. It spent $50m on capex, and $30m of its debt is scheduled for repayment within the year, shown as current debt.

Granite Tools: income statement for the year ($m)
LineAmount
Revenue800
Cost of goods sold(480)
Gross profit320
SG&A, excluding D&A (includes lease cost of 30)(160)
EBITDA160
Depreciation and amortization(40)
EBIT (operating income)120
Interest expense(20)
Pretax income100
Income tax at 25%(25)
Net income75
Granite Tools: balance sheet items ($m)
LineOpeningClosingAverage
Cash506055
Accounts receivable110
Inventory709080
Prepaid and other current assets20
Total current assets280
PP&E, net420
Goodwill100
Total assets760800780
Accounts payable70
Accrued liabilities40
Current debt30
Total current liabilities140
Long-term debt270
Total debt320300310
Total liabilities410410410
Shareholders' equity350390370
Closing total assets of 800 equal total liabilities of 410 plus equity of 390; opening 760 equals 410 plus 350. Only the opening balances used in a ratio are shown.

Profitability: margins

Margins express each level of profit as a share of revenue. Gross margin reflects pricing power and production cost. EBITDA margin adds the cost of running the organization, excluding D&A. Operating margin includes D&A, so it reflects the cost of the asset base. Net margin includes financing cost and tax, so it is affected by capital structure and jurisdiction as well as operations.

Read the margins as a cascade. If gross margin is stable but operating margin falls, the pressure is in overhead or depreciation, not in pricing. If net margin falls while operating margin holds, look at interest and tax. For cross-company comparison, gross and EBITDA margins are the most comparable in principle, but only if both companies classify costs the same way between COGS and SG&A, which they often do not.

Margin ratios
Gross margin = Gross profit / Revenue EBITDA margin = EBITDA / Revenue Operating margin = EBIT / Revenue Net margin = Net income / Revenue
Gross profit
Revenue less cost of goods sold.
EBIT
Earnings before interest and taxes, taken here as operating income.
Net income
Profit after interest and tax attributable to shareholders.
Worked example

Granite Tools: margins

  • Income statement above ($m).
  1. 1. Gross margin
    320 / 800
    40.0%
  2. 2. EBITDA margin
    160 / 800
    20.0%
  3. 3. Operating margin
    120 / 800
    15.0%
  4. 4. Net margin
    75 / 800
    9.4%
    9.375 percent before rounding.

Granite keeps 40 cents of each sales dollar after production costs and 9.4 cents after every cost, interest and tax.

Returns: ROA, ROE and ROIC

Return on assets (ROA) compares net income with the total assets used to earn it. It is a broad measure, but it mixes an after-financing profit with a pre-financing asset base. Some analysts add after-tax interest back to the numerator for that reason; state the definition used.

Return on equity (ROE) compares net income with shareholders' equity. It is the return shareholders earn on the book value of their investment, and it rises with leverage: borrowing replaces equity in the denominator, so as long as the business earns more on its assets than the after-tax cost of debt, ROE goes up. That is why a high ROE is not in itself evidence of a good business.

Return on invested capital (ROIC) removes the financing effect. The numerator is NOPAT, net operating profit after tax, which is EBIT taxed as if the company had no debt. The denominator is invested capital, the debt and equity funding the operating business, less cash that is not needed to run it. Comparing ROIC with the weighted average cost of capital is the most direct test of whether a business creates value. Definitions vary: some deduct only excess cash, some include lease liabilities, and European reports often use return on capital employed (ROCE), EBIT divided by total assets less current liabilities.

Return ratios
ROA = Net income / Average total assets ROE = Net income / Average equity NOPAT = EBIT x (1 - Tax rate) Invested capital = Total debt + Equity - Cash ROIC = NOPAT / Average invested capital
Average
Opening balance plus closing balance, divided by two.
NOPAT
Net operating profit after tax: operating profit taxed as if unlevered.
Tax rate
Statutory or normalized effective rate; state which.
Invested capital
Capital supplied by lenders and shareholders, net of cash. An equivalent operating view is net working capital plus net fixed and intangible assets.
Worked example

Granite Tools: returns

  • Net income 75; EBIT 120; tax rate 25 percent.
  • Average total assets 780; average equity 370.
  • Invested capital: opening 320 + 350 - 50; closing 300 + 390 - 60.
  1. 1. ROA
    75 / 780
    9.6%
  2. 2. ROE
    75 / 370
    20.3%
  3. 3. NOPAT
    120 x (1 - 25%)
    90
  4. 4. Opening invested capital
    320 + 350 - 50
    620
  5. 5. Closing invested capital
    300 + 390 - 60
    630
  6. 6. Average invested capital
    (620 + 630) / 2
    625
  7. 7. ROIC
    90 / 625
    14.4%

Granite earns 14.4 percent on the capital invested in its operations and 20.3 percent for shareholders. The gap is the effect of debt costing less, after tax, than the business earns.

Liquidity

Liquidity ratios test whether a company can meet obligations falling due within a year from assets that will turn into cash within a year. The current ratio uses all current assets. The quick ratio, also called the acid test, excludes inventory and prepaid expenses, which cannot quickly be turned into cash to pay a bill. The cash ratio keeps only cash and marketable securities.

No single level is right. A grocer that sells inventory for cash before it pays suppliers can run safely with a current ratio below 1.0, because its working capital cycle generates cash. A manufacturer with slow-moving inventory may need a much higher ratio. Lenders look at the trend and at the composition: a current ratio that holds steady while cash falls and receivables rise is weaker than it looks.

Liquidity ratios
Current ratio = Current assets / Current liabilities Quick ratio = (Cash + Marketable securities + Receivables) / Current liabilities Cash ratio = (Cash + Marketable securities) / Current liabilities
Current assets
Assets expected to be realized within twelve months or the operating cycle.
Current liabilities
Obligations due within twelve months, including the current portion of debt.
Liquidity ratios use closing balances, because the question is the position at the reporting date.
Worked example

Granite Tools: liquidity

  • Closing balances: current assets 280; cash 60; receivables 110; no marketable securities; current liabilities 140.
  1. 1. Current ratio
    280 / 140
    2.0x
  2. 2. Quick ratio
    (60 + 110) / 140
    1.2x
  3. 3. Cash ratio
    60 / 140
    0.4x

Granite could cover its current liabilities twice from current assets and 1.2 times without selling inventory. Cash alone covers 43 percent of them.

Leverage and coverage

Leverage ratios measure how much debt the company carries. Debt to equity compares debt with book equity, which is simple but depends on historical accounting values; in a buyout, book equity can be small or negative after large dividends. Net debt to EBITDA compares debt, less cash, with annual earnings capacity, and it is the ratio lenders and sponsors use most. It is read as the number of years of EBITDA needed to repay net debt, ignoring every other use of cash.

Coverage ratios measure whether earnings can service the obligations. Interest coverage divides EBIT, or EBITDA, by interest expense. Fixed charge coverage widens the obligations to include other fixed commitments. The textbook version adds lease payments to both sides. Credit agreements usually define a cash-based version instead: EBITDA less capex and cash taxes, divided by interest plus scheduled principal repayments. The two can differ by a wide margin, so always state which one is meant.

Leverage and coverage ratios
Debt to equity = Total debt / Equity Net debt to EBITDA = (Total debt - Cash) / EBITDA Interest coverage = EBIT / Interest expense Fixed charge coverage (textbook) = (EBIT + Lease payments) / (Interest expense + Lease payments) Fixed charge coverage (typical credit agreement) = (EBITDA - Capex - Cash taxes) / (Interest paid + Scheduled principal)
Total debt
Short and long-term borrowings; add lease liabilities if EBITDA excludes lease cost.
Lease payments
Operating lease or rent cost for the period.
Scheduled principal
Mandatory debt repayments due in the period.
Worked example

Granite Tools: leverage and coverage

  • Closing total debt 300; cash 60; equity 390; EBITDA 160; EBIT 120; interest 20 (paid in cash).
  • Lease cost 30; capex 50; cash taxes 25; scheduled principal 30.
  1. 1. Debt to equity
    300 / 390
    0.8x
  2. 2. Net debt to EBITDA
    (300 - 60) / 160
    1.5x
  3. 3. Interest coverage (EBIT)
    120 / 20
    6.0x
  4. 4. Interest coverage (EBITDA)
    160 / 20
    8.0x
  5. 5. Fixed charge coverage, textbook
    (120 + 30) / (20 + 30)
    3.0x
  6. 6. Fixed charge coverage, credit agreement style
    (160 - 50 - 25) / (20 + 30)
    1.7x

Granite is modestly levered at 1.5x net debt to EBITDA and covers interest six times. Once capex, tax and debt repayments are counted, its cash cover falls to 1.7x, which is the figure a lender would watch.

Efficiency

Efficiency ratios, also called activity ratios, measure how hard the company works its assets. Asset turnover is revenue divided by average total assets: how many dollars of sales each dollar of assets generates. Capital-light businesses such as distributors turn their assets many times a year; utilities and infrastructure turn them slowly.

Inventory turnover divides cost of goods sold by average inventory. COGS is used rather than revenue because inventory is carried at cost. Dividing 365 by the turnover gives days inventory outstanding, the average number of days goods sit before being sold. Receivables and payables turnover work the same way and together form the cash conversion cycle, covered in the working capital topic.

Efficiency ratios
Asset turnover = Revenue / Average total assets Inventory turnover = COGS / Average inventory Days inventory outstanding = 365 / Inventory turnover
COGS
Cost of goods sold for the period.
Average inventory
Opening plus closing inventory, divided by two.
Worked example

Granite Tools: efficiency

  • Revenue 800; COGS 480; average total assets 780; average inventory (70 + 90) / 2 = 80.
  1. 1. Asset turnover
    800 / 780
    1.03x
  2. 2. Inventory turnover
    480 / 80
    6.0x
  3. 3. Days inventory outstanding
    365 / 6.0
    60.8 days

Granite generates $1.03 of sales per dollar of assets and holds about two months of inventory. Inventory grew from 70 to 90 during the year, which is worth a question if sales did not grow as fast.

Three-step DuPont

The DuPont framework, named after the company whose finance staff popularized it, rewrites ROE as a product of three ratios. Net margin measures how much profit each dollar of sales produces. Asset turnover measures how many dollars of sales each dollar of assets produces. The equity multiplier, average assets divided by average equity, measures how many dollars of assets each dollar of equity supports, which is a measure of leverage. Multiplying the three cancels revenue and assets and leaves net income over equity.

The value is diagnostic. If ROE rises, the decomposition shows whether the business became more profitable, used its assets more intensively, or simply borrowed more. Only the first two are operating improvements.

Three-step DuPont identity
ROE = (Net income / Revenue) x (Revenue / Average total assets) x (Average total assets / Average equity) ROE = Net margin x Asset turnover x Equity multiplier
Net margin
Profitability of sales.
Asset turnover
Efficiency of the asset base.
Equity multiplier
Financial leverage: assets per dollar of equity.
Use the same averaged balances in every term, or the identity will not reproduce ROE exactly.
Worked example

Granite Tools: three-step DuPont

  • Net income 75; revenue 800; average total assets 780; average equity 370.
  1. 1. Net margin
    75 / 800
    9.375%
  2. 2. Asset turnover
    800 / 780
    1.0256x
  3. 3. Equity multiplier
    780 / 370
    2.1081x
  4. 4. ROE
    9.375% x 1.0256 x 2.1081
    20.3%
    Matches 75 / 370 = 20.3 percent computed directly.

Granite earns about 9.6 percent on its assets (margin times turnover) and roughly doubles that for shareholders through leverage of 2.1 times.

Five-step DuPont and comparing companies

The five-step version splits net margin into three parts. The tax burden, net income over pretax income, is the share of pretax profit the company keeps after tax. The interest burden, pretax income over EBIT, is the share of operating profit left after interest. The operating margin, EBIT over revenue, is profitability before financing and tax. Multiplying the three gives back net margin.

The finer split matters because leverage now appears twice with opposite effects. More debt raises the equity multiplier but lowers the interest burden ratio, as interest consumes more of EBIT. The five-step view shows whether added leverage is still accretive to ROE, and it isolates operating margin, the part management controls most directly.

Five-step DuPont identity
ROE = (Net income / Pretax income) x (Pretax income / EBIT) x (EBIT / Revenue) x (Revenue / Average total assets) x (Average total assets / Average equity) ROE = Tax burden x Interest burden x Operating margin x Asset turnover x Equity multiplier
Tax burden
Share of pretax income kept after tax; equals 1 minus the effective tax rate.
Interest burden
Share of EBIT left after interest; 1.0 for a company with no debt.
Operating margin
EBIT as a share of revenue.
Worked example

Granite Tools: five-step DuPont

  • Net income 75; pretax income 100; EBIT 120; revenue 800; average assets 780; average equity 370.
  1. 1. Tax burden
    75 / 100
    0.750
  2. 2. Interest burden
    100 / 120
    0.833
  3. 3. Operating margin
    120 / 800
    0.150
  4. 4. Check: net margin
    0.750 x (100 / 120) x 0.150
    9.375%
  5. 5. ROE
    0.750 x 0.8333 x 0.150 x 1.0256 x 2.1081
    20.3%

Granite keeps 75 percent of pretax profit after tax and 83 percent of operating profit after interest. Its 20.3 percent ROE rests on a 15 percent operating margin, a turnover near 1.0 and leverage of 2.1 times.

Worked example

Same ROE, different businesses

  • Two hypothetical companies, each with an equity multiplier of 2.0x.
  • Brookfield Grocers: net margin 3 percent; asset turnover 3.0x.
  • Summitline Software: net margin 12 percent; asset turnover 0.75x.
  1. 1. Brookfield ROE
    3% x 3.0 x 2.0
    18.0%
  2. 2. Summitline ROE
    12% x 0.75 x 2.0
    18.0%
  3. 3. Effect of a 1 point margin fall at Brookfield
    2% x 3.0 x 2.0
    12.0%
  4. 4. Effect of a 1 point margin fall at Summitline
    11% x 0.75 x 2.0
    16.5%

The two companies earn identical ROE by opposite routes. Brookfield depends on volume through the asset base, so a one point margin squeeze cuts its ROE by a third; Summitline loses only 1.5 points.

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