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Financial ratios: formulas, ratio analysis and worked examples.

Ratio analysis turns a set of accounts into a handful of numbers you can compare: with last year, with a budget, with a lender’s limits. Here is every common financial ratio with its formula, a worked example on one set of accounts, how to read it, and the LedgerIQ module that calculates it from your ledger.

19 ratios2 risk scores7 valuation methods1 set of accounts

One set of accounts, every example.

Every worked example below uses these figures for Alder & Finch Ltd, an illustrative UK trading company, so you can trace each ratio back to the line it comes from. The list of financial ratios below follows the usual families, each with its formula.

Profit and loss · year£
Revenue1,460,000
Cost of sales(876,000)
Gross profit584,000
Operating expenses(365,000)
of which depreciation45,000
Operating profit (EBIT)219,000
Interest payable(19,000)
Profit before tax200,000
Corporation tax at 25%(50,000)
Net profit after tax150,000
EBITDA 264,000EBIT + depreciation
Balance sheet · year end£
Fixed assets640,000
Stock87,600
Trade debtors146,000
Cash66,400
Current assets300,000
Total assets940,000
Trade creditors72,000
Tax, VAT and accruals78,000
Current liabilities(150,000)
Bank loan (over one year)(240,000)
Net assets = equity550,000
Share capital 10,000 · retained earnings 540,000Capital employed 790,000

The examples use closing balances to keep the arithmetic easy to follow. LedgerIQ uses the average of opening and closing balances where the ledger has them, which is more accurate for a business whose balance sheet moves during the year.

L · 3 ratios

Liquidity ratios: can it pay its bills?

Liquidity ratios compare what the business can turn into cash within a year with what it owes within a year. They are the first thing a lender or supplier looks at, and the first to move when cash gets tight.

L1

Current ratio

Current ratio=Current assetsCurrent liabilities

Between 1.5 and 2 is the usual comfort zone for a trading business. Below 1, short-term debts exceed short-term assets; well above 2 can mean cash or stock sitting idle.

In LedgerIQ Liquidity Overview Gearing ratio calculator →

Worked exampleAlder & Finch
Current assets300,000
Current liabilities150,000
Current ratio2.00

L2

Quick ratio (acid test)

Quick ratio=Cash + debtorsCurrent liabilities

The current ratio without stock, because stock is the slowest current asset to turn into cash. Around 1 or more means the business can meet its short-term debts without selling stock.

In LedgerIQ Liquidity Overview Gearing ratio calculator →

Worked exampleAlder & Finch
Cash66,400
Trade debtors146,000
Current liabilities150,000
Quick ratio1.42

L3

Cash ratio

Cash ratio=CashCurrent liabilities

The strictest test: cash alone against everything due within a year. Few healthy businesses hold enough cash to score 1; the trend matters more than the level.

In LedgerIQ Liquidity Overview

Worked exampleAlder & Finch
Cash66,400
Current liabilities150,000
Cash ratio0.44

E · 5 ratios

Efficiency ratios: how fast does cash go round?

Efficiency ratios, sometimes called activity or working capital ratios, measure how long money is tied up in debtors and stock and how long the business takes to pay its suppliers. Together they give the cash conversion cycle.

E1

Debtor days

Debtor days=Trade debtorsRevenue× 365

How long customers take to pay, on average. Compare it with your payment terms: 30-day terms and 45 debtor days means a slice of customers are paying late.

In LedgerIQ Receivables & Payables Debtor days calculator →

Worked exampleAlder & Finch
Trade debtors146,000
Revenue1,460,000
Debtor days36.5 days

E2

Creditor days

Creditor days=Trade creditorsCost of sales× 365

How long the business takes to pay its suppliers. Purchases are the textbook denominator; cost of sales is the usual stand-in when purchases are not separated in the ledger, and it is what LedgerIQ uses.

In LedgerIQ Receivables & Payables Debtor days calculator →

Worked exampleAlder & Finch
Trade creditors72,000
Cost of sales876,000
Creditor days30.0 days

E3

Stock days

Stock days=StockCost of sales× 365

How long stock sits before it is sold. Rising stock days with flat sales usually means slow-moving lines or over-ordering.

In LedgerIQ Inventory Efficiency Debtor days calculator →

Worked exampleAlder & Finch
Stock87,600
Cost of sales876,000
Stock days36.5 days

E4

Cash conversion cycle

Cash conversion cycle=Debtor days + Stock days − Creditor days

The number of days between paying a supplier and being paid by a customer. Every day off it releases cash. Here a debtor day is worth revenue divided by 365, about £4,000; a stock or creditor day is worth cost of sales divided by 365, about £2,400.

In LedgerIQ Cash Conversion Cycle

Worked exampleAlder & Finch
Debtor days36.5
Stock days36.5
Creditor days(30.0)
Cash conversion cycle43.0 days

E5

Asset turnover

Asset turnover=RevenueTotal assets

Revenue earned for every pound of assets. Asset-light service businesses run high; manufacturers with plant and machinery run low, so compare within a sector.

In LedgerIQ Return Ratios

Worked exampleAlder & Finch
Revenue1,460,000
Total assets940,000
Asset turnover1.55×

P · 6 ratios

Profitability ratios: does it make money?

Profitability ratios divide profit by either the sales that earned it (margins) or the money tied up in earning it (returns). Margins show pricing and cost control; returns show whether the capital is worth employing. These are the profitability financial ratios a buyer reads first.

P1

Gross profit margin

Gross profit margin=Gross profitRevenue× 100

What is left of each pound of sales after the direct cost of making or buying what was sold. It moves with pricing, discounts and supplier costs.

In LedgerIQ Margin Analysis Profit margin calculator →

Worked exampleAlder & Finch
Gross profit584,000
Revenue1,460,000
Gross profit margin40.0%

P2

Operating profit margin

Operating profit margin=Operating profitRevenue× 100

Profit after overheads but before interest and tax: the margin the business earns from trading, whatever its financing.

In LedgerIQ Margin Analysis

Worked exampleAlder & Finch
Operating profit (EBIT)219,000
Revenue1,460,000
Operating profit margin15.0%

P3

Net profit margin

Net profit margin=Net profitRevenue× 100

The bottom line as a share of sales, after interest and tax.

In LedgerIQ Margin Analysis

Worked exampleAlder & Finch
Net profit after tax150,000
Revenue1,460,000
Net profit margin10.3%

P4

Return on assets (ROA)

Return on assets=Net profitTotal assets× 100

Profit earned on everything the business controls, however it is funded.

In LedgerIQ Return Ratios

Worked exampleAlder & Finch
Net profit after tax150,000
Total assets940,000
Return on assets16.0%

P5

Return on equity (ROE)

Return on equity=Net profitShareholders’ equity× 100

The return to the owners. Debt lifts ROE above ROA, which is why DuPont analysis (below) splits it apart.

In LedgerIQ Return Ratios

Worked exampleAlder & Finch
Net profit after tax150,000
Equity550,000
Return on equity27.3%

P6

Return on capital employed (ROCE)

Return on capital employed=Operating profitCapital employed× 100

Capital employed is total assets less current liabilities: the long-term money in the business, debt and equity together. ROCE above the cost of that money means the business creates value.

In LedgerIQ Return Ratios

Worked exampleAlder & Finch
Operating profit (EBIT)219,000
Total assets940,000
Less current liabilities(150,000)
Capital employed790,000
Return on capital employed27.7%

G · 5 ratios

Gearing and leverage ratios: how much of it is borrowed?

Financial leverage ratios measure how far the business is funded by debt rather than by its owners, and how comfortably it carries that debt. Moderate gearing magnifies returns; heavy gearing magnifies risk. The financial leverage ratios formula for each one is below.

G1

Gearing ratio

Gearing ratio=Long-term debtCapital employed× 100

The UK textbook definition. Under 25% is low, 25% to 50% normal, above 50% high. Some lenders use debt to equity instead and call that gearing too, so check which one is meant.

In LedgerIQ Debt & Leverage (reported as debt to equity) Gearing ratio calculator →

Worked exampleAlder & Finch
Bank loan (long-term)240,000
Capital employed790,000
Gearing ratio30.4%

G2

Debt to equity

Debt to equity=Interest-bearing debtShareholders’ equity

Pounds of borrowing for every pound the owners have in. LedgerIQ counts only interest-bearing debt here, not trade creditors.

In LedgerIQ Debt & Leverage

Worked exampleAlder & Finch
Bank loan240,000
Equity550,000
Debt to equity0.44

G3

Debt to asset ratio

Debt to asset ratio=Interest-bearing debtTotal assets× 100

The share of the assets financed by borrowing. A broader version uses all liabilities: here that is 390,000 ÷ 940,000 = 41.5%.

In LedgerIQ Debt & Leverage

Worked exampleAlder & Finch
Bank loan240,000
Total assets940,000
Debt to asset ratio25.5%

G4

Interest cover

Interest cover=Operating profitInterest payable

How many times profit covers the interest bill. Lenders usually want 3 or more; below 1.5, a dip in profit can put repayments at risk.

In LedgerIQ Debt & Leverage

Worked exampleAlder & Finch
Operating profit (EBIT)219,000
Interest payable19,000
Interest cover11.5×

G5

Equity multiplier (financial leverage ratio)

Equity multiplier=Total assetsShareholders’ equity

The financial leverage ratio in DuPont analysis: assets per pound of equity. At 1.00 the business has no liabilities at all.

In LedgerIQ Return Ratios (DuPont)

Worked exampleAlder & Finch
Total assets940,000
Equity550,000
Equity multiplier1.71×

D · Three ratios in one

DuPont analysis: why ROE is what it is.

DuPont analysis splits return on equity into three drivers: how much profit each sale makes, how much revenue the assets earn, and how far the assets are financed by debt. Two businesses with the same 27% ROE can get there in very different ways, and only one of them may be safe.

Net margin10.3%150,000 ÷ 1,460,000
Asset turnover1.55×1,460,000 ÷ 940,000
Equity multiplier1.71×940,000 ÷ 550,000
Return on equity27.3%150,000 ÷ 550,000

Read it left to right: Alder & Finch earns a healthy 10.3% on each sale, turns its assets over about one and a half times a year, and uses moderate borrowing to stretch that into a 27.3% return for its owners. If ROE rises next year, the three factors show whether that came from better trading or from more debt.

In LedgerIQ Return Ratios (DuPont tab)

S · Two scores

Altman Z′ and Piotroski F: ratios as an early warning.

Single ratios can disagree with each other. Scoring models combine several into one number. The Altman Z-score estimates the risk of failure; the Piotroski F-score counts how many signs of strength are moving the right way.

The Altman Z′-score, for private companies

The original Z-score needs a share price. The Z′ version, built for private companies, uses book equity instead. Above 2.90 is the safe zone; between 1.23 and 2.90 the grey zone; below 1.23 the distress zone.

RatioValueWeightScore
Working capital ÷ total assets0.1600.7170.114
Retained earnings ÷ total assets0.5740.8470.487
EBIT ÷ total assets0.2333.1070.724
Book equity ÷ total liabilities1.4100.4200.592
Sales ÷ total assets1.5530.9981.550
Z′, safe zone3.47

The Piotroski F-score: nine tests

One point for each test passed. 8 or 9 is strong, 0 to 3 weak, as LedgerIQ grades it. Piotroski compares two years; on a single year’s ledger LedgerIQ compares the second half with the first, and on an IQ Books ledger that holds the year before, it compares the two years.

Profitability

  1. Profitable: return on assets above zero.
  2. Cash positive: operating cash flow above zero.
  3. Improving: return on assets higher than before.
  4. Earnings quality: operating cash flow above net profit.

Leverage, liquidity, funding

  1. Less debt: long-term liabilities a smaller share of assets.
  2. More liquid: current ratio higher than before.
  3. No dilution: no new shares issued.

Efficiency

  1. Better margin: gross margin higher than before.
  2. Better turnover: asset turnover higher than before.

In LedgerIQ Financial Health Scoring

A · Three methods

Financial statement analysis: across, down and over time.

Ratios are one way to read accounts. Financial statement analysis has three more: horizontal analysis compares periods line by line, vertical analysis turns each line into a percentage of a total, and trend analysis follows a line over several years.

A1

Horizontal (comparative) analysis

Change=This year − last yearLast year× 100

Comparative financial statement analysis puts two periods side by side and shows the change in pounds and per cent. Here operating profit grew faster than revenue, because gross profit grew faster than overheads.

In LedgerIQ P&L Trends and Balance Sheet Trends

Worked exampleAlder & Finch
Last yearThis yearChange
Revenue1,320,0001,460,000+10.6%
Gross profit514,800584,000+13.4%
Overheads330,000365,000+10.6%
Operating profit184,800219,000+18.5%

A2

Vertical (common-size) analysis

Common size=LineRevenue (or total assets)× 100

Vertical analysis of financial statements expresses every P&L line as a percentage of revenue and every balance sheet line as a percentage of total assets, so businesses of different sizes, or the same business in different years, can be compared directly.

In LedgerIQ Common-Size P&L and Common-Size BS

Worked example% of revenue
Revenue100.0%
Cost of sales60.0%
Gross profit40.0%
Overheads25.0%
Operating profit15.0%
Interest and tax4.7%
Net profit10.3%

A3

Trend analysis

Index=This yearBase year× 100

Trend analysis sets a base year at 100 and indexes later years to it, which makes growth rates over several years easy to compare between lines. It works for ratios too: a falling current ratio over three years says more than one year’s figure.

In LedgerIQ Ratio Trends and Key Metrics Overview (trend lines, not indexed)

Worked exampleRevenue, index
RevenueIndex
Two years ago1,180,000100.0
Last year1,320,000111.9
This year1,460,000123.7

V · Seven methods

Business valuation methods: what the ratios add up to.

Business valuation methodologies fall into four families: earnings multiples, revenue multiples, discounted cash flow and asset-based methods. A careful valuation runs several and weighs them. The multiples below are illustrative; real ones depend on the sector, size, growth and risk.

MethodHow it worksAlder & Finch
EBITDA multipleEBITDA 264,000 × 4.0. Gives the enterprise value; deduct net debt of 173,600 (loan less cash) to reach an equity value of 882,400.1,056,000
EBIT multipleEBIT 219,000 × 5.0. Common where depreciation reflects real replacement spending. LedgerIQ uses EBITDA, not EBIT, for its multiple.1,095,000
Revenue (turnover) multipleRevenue 1,460,000 × 0.7. Business valuation based on turnover suits early-stage or subscription businesses where profit is not yet a guide.1,022,000
SDE multipleSeller’s discretionary earnings: EBITDA plus the owner’s own pay (say 60,000) = 324,000, × 3.0. For owner-run businesses; LedgerIQ applies it under £2 million revenue.972,000
Capitalisation of earningsMaintainable earnings 150,000 ÷ a capitalisation rate of 18%: the return a buyer needs, less expected growth. This is an equity value, so compare it with the 882,400 above.833,333
Discounted cash flowForecast free cash flows discounted at the cost of capital, plus a terminal value. LedgerIQ runs 10,000 Monte Carlo simulations to give a range rather than one number.a range
Net assetsThe balance sheet value of the equity. LedgerIQ adds the 240,000 loan back, giving 790,000, to compare it with the multiples above.550,000

LedgerIQ’s Business Valuation module runs EBITDA, revenue and SDE multiples, capitalisation of earnings, a DCF with 10,000 Monte Carlo runs and net assets from the ledger, and weighs them into a range. For a quick estimate without uploading anything, use the free business valuation calculator.

In LedgerIQ Business Valuation

R · Read with care

Limitations of ratio analysis, and its advantages.

Only as good as the ledgerA misposted transaction moves every ratio that uses it. Reconcile the bank and check the coding before trusting the ratios.

One date, one periodA balance sheet is a snapshot. Paying suppliers down just before the year-end flatters the current ratio: paying 50,000 takes Alder & Finch from 300,000 ÷ 150,000 = 2.0 to 250,000 ÷ 100,000 = 2.5. Averages are fairer, which is why LedgerIQ uses them for days and return ratios.

Definitions differGearing, creditor days and even profit margins are calculated in more than one way. Compare like with like, and check the formula behind any benchmark.

What, not whyA ratio says something has changed. It does not say why: that still means reading the transactions behind it.

Sector mattersA supermarket and a software company have nothing in common on asset turnover or stock days. Compare within a sector, or against the same business over time.

The advantagesRatios make businesses of different sizes comparable, show trends the raw figures hide, flag problems early and put the accounts into the language lenders, buyers and boards already use.

Questions

Ratio analysis, answered.

The questions people search for most about financial ratios and valuation. For questions about LedgerIQ itself, see the LedgerIQ FAQ.

What are financial ratios, and what is financial ratio analysis?

Financial ratios in accounting compare one figure in the accounts with another. Financial ratio analysis turns the figures in a set of accounts into ratios, so they can be compared: with last year, with a budget, with other businesses of a similar size, or with a lender’s limits. A profit of £150,000 means little on its own; a 10.3% net margin and 27.3% return on equity can be read against a sector straight away. Ratio analysis in accounting usually covers five families: liquidity, efficiency, profitability, gearing and investor ratios.

What are the 5 main types of financial ratios?

Liquidity ratios (can the business pay its short-term debts), efficiency or activity ratios (how quickly it collects, sells and pays), profitability ratios (margins and returns), gearing or leverage ratios (how much is borrowed and how safely), and investor ratios (earnings per share, price to earnings, dividend cover and yield). This page covers the first four with worked examples; investor ratios need a share price, so they apply mainly to listed companies.

Which financial ratios are the most important?

For most owner-managed businesses, five key financial ratios do most of the work: the current ratio (liquidity), debtor days (cash collection), gross margin (pricing), return on capital employed (whether the business earns its keep) and interest cover (whether the debt is safe). Lenders add gearing; buyers add EBITDA. Which matters most depends on the question: a bank asks different questions from a buyer.

How do you calculate a ratio?

Divide one figure by another taken from the same set of accounts, for the same period, and express the answer the way the ratio is normally quoted: as a number (current ratio 2.00), a percentage (gross margin 40.0%), a multiple (asset turnover 1.55×) or a number of days (debtor days 36.5). Use averages of opening and closing balances where you can; LedgerIQ does, while the worked examples on this page use closing balances to keep the arithmetic easy to follow. The formulary above works as a financial ratios cheat sheet, with the financial ratios formulas set out one per entry.

How do you calculate liquidity ratios, and what are the five liquidity ratios?

Each one divides a measure of liquid assets by current liabilities. The current ratio uses all current assets; the quick ratio leaves out stock; the cash ratio uses cash alone. The five most often listed are those three plus the working capital figure (current assets less current liabilities) and the operating cash flow ratio (cash from operations divided by current liabilities).

What are the six profitability ratios?

Gross profit margin, operating profit margin, net profit margin, return on assets, return on equity and return on capital employed. The first three divide profit by revenue; the last three divide profit by the money used to earn it. All six, with worked figures, are in the profitability section above.

What are efficiency ratios and what do they measure?

Efficiency ratios measure how hard the business works its assets: how many days customers take to pay (debtor days), how long stock sits (stock days), how long the business takes to pay suppliers (creditor days) and how much revenue each pound of assets earns (asset turnover). The first three combine into the cash conversion cycle.

What are investor ratios and what information do they provide?

Investor ratios relate profit and dividends to shares: earnings per share, the price to earnings ratio, dividend cover and dividend yield. They tell a shareholder what each share earns and what it pays out. They need a share count and usually a market price, so LedgerIQ, which works from the general ledger, does not calculate them.

What are the limitations of ratio analysis?

Ratios are only as good as the accounts behind them: a misposted transaction moves every ratio that uses it. They describe the past, at one date, and a year-end balance sheet can flatter the position. Different definitions (gearing is the usual example) make comparisons unreliable unless you check the formula. Seasonal businesses need averages, not closing balances. And a ratio says what has changed, not why: you still have to read the ledger.

What are the advantages of ratio analysis?

It makes businesses of different sizes comparable, shows trends that the raw figures hide, flags problems early (stretching debtor days, a slipping margin) and puts a set of accounts into the language lenders, buyers and boards already use.

What is the Altman Z-score?

A weighted score of five ratios that estimates the risk of business failure. For private companies the Z′ version uses book equity instead of market value: Z′ = 0.717 × working capital ÷ total assets + 0.847 × retained earnings ÷ total assets + 3.107 × EBIT ÷ total assets + 0.420 × book equity ÷ total liabilities + 0.998 × sales ÷ total assets. Above 2.90 is the safe zone, below 1.23 the distress zone. LedgerIQ’s Financial Health Scoring module calculates the Z′ version from the ledger.

What are the four main valuation methodologies, or the five types of valuation methods?

Most valuers group the methods into four: earnings multiples (a multiple of EBITDA, EBIT or profit), revenue multiples (a multiple of turnover), discounted cash flow (future cash flows brought back to today) and asset-based methods (net assets, adjusted to market value). Capitalisation of earnings sits between the first and third; lists of five types of valuation methods usually count it separately. A valuation report usually runs several and weighs them.

How do you value a company, or calculate a business valuation?

Start from maintainable earnings: last year’s profit, adjusted for one-off items and a market-rate salary for the owners. Apply a multiple that suits the sector, size and risk to get an enterprise value, then deduct net debt to reach the equity value. That is the business valuation formula in its simplest form: maintainable earnings × multiple − net debt = equity value. Cross-check against a discounted cash flow and against net assets. For a quick estimate, the free business valuation calculator runs the multiples; LedgerIQ’s Business Valuation module runs six methods from the ledger itself.

How much is a business with £1 million in sales worth?

Sales alone cannot tell you. Take two businesses with £1 million of sales. One keeps 20% as EBITDA, £200,000; at four times EBITDA it is worth about £800,000 before debt. The other keeps 5%, £50,000, and at the same multiple is worth about £200,000. Same turnover, four times the value: price follows profit, and the multiple follows how safe and repeatable that profit is.

What are the methods of asset valuation?

Book value (the balance sheet figure), adjusted net assets (each asset restated to market value, liabilities deducted), replacement cost and liquidation value (what the assets would fetch in a quick sale). Asset-based methods suit property and investment companies and businesses that are not making a profit; for a profitable trading business they usually give the floor, not the price.

Every ratio here, from your own ledger.

Upload a general ledger from Xero, QuickBooks Online, Sage 50 or Pandle and LedgerIQ calculates them all, with trends and a written commentary. A full analysis is 1,000 credits, whether you upload a ledger or open it from IQ Books; the free tier’s 1,000 one-off credits cover one, once your email is confirmed.