The CPA Exam Guide to Ratio Analysis: All 25 Formulas, Worked Through

Kyle Ashcraft, CPA · 2019 CPA Exam Scores · 95 FAR · 98 BEC · 91 REG · 90 AUD

Ratios are one of the few CPA topics that follow you from section to section. On FAR you calculate them and work out how a transaction moves the current ratio. On AUD you use them in analytical procedures to find the fluctuation worth investigating. On BAR they turn up again in financial statement analysis and valuation.

Learn them once and you get paid three times. This guide covers the five categories, the formulas, a way to rebuild a formula from its name when your memory goes blank, the cash conversion cycle, and worked examples that all run off one consistent set of financial statements.

The figures used throughout. Every worked example below comes from the same company: net sales $102,000, COGS $30,600, gross profit $71,400, net income $5,100, total assets $52,000, total liabilities $37,000, equity $15,000, current assets $22,000, current liabilities $10,000, average AR $10,000, average inventory $7,000, average AP $6,000, EBIT $7,000, interest expense $1,000, 1,000 common shares at $25.

Where are ratios tested on the CPA exam?

Ratios show up in three sections, and they are asked in a different way in each one.

SectionHow they appearFormat
FARDirect calculation, and transaction-effect questions asking which way a ratio movesMCQ, TBS
AUDAnalytical procedures, spotting the unusual fluctuation, designing substantive testsMostly TBS
BARFinancial statement analysis, performance interpretation, valuation multiplesMCQ, TBS

AUD candidates underestimate how ratio-heavy an analytical procedures simulation can be. If the formulas are automatic, you spend your time interpreting the numbers. If they are not, you spend it doing arithmetic, and the interpretation is what earns the points.

How do you rebuild a ratio formula from its name?

Before you memorize anything, learn these three rules. A large share of ratio formulas can be reconstructed from the name alone, which is what you want on a morning when your memory has gone blank.

  1. Read the denominator as "for every $1 of." The denominator is the baseline you are measuring against. Current ratio is current assets over current liabilities, so read it as: for every $1 of current liabilities, we hold $X of current assets. This is the single best guard against flipping a formula upside down.
  2. In an X-to-Y ratio, Y is the denominator. Debt-to-equity puts equity underneath. Return on assets puts assets underneath. The name tells you the structure if you read it literally.
  3. In a turnover ratio, the named item is the denominator. Inventory turnover puts inventory underneath. Receivables turnover puts average AR underneath. You are measuring how many times you cycle through that item, so it has to be the base.

What are the five categories of ratios?

CategoryThe question it answersMain ratios
LiquidityCan we pay what is due soon?Current, quick, operating cash flow
TurnoverHow efficiently do we use what we have?AR, inventory, AP, asset, working capital, cash conversion cycle
ProfitabilityHow much of each sales dollar do we keep?Profit margin, gross profit margin
DebtHow much leverage are we carrying?Total debt, debt-to-equity, times interest earned
InvestmentHow well is capital deployed, and is the stock priced well?ROA, ROE, equity multiplier, EPS, P/E, PEG, price-to-sales, price-to-book, payout

What are the liquidity ratios?

Liquidity ratios ask whether a company can cover its short-term obligations using assets that can actually become cash in time to be useful.

The word doing the work is liquid. Cash already is cash. Marketable securities are close. Accounts receivable is reasonably liquid because the sale has happened and you are waiting on collection. Inventory is further out, because it still has to be sold and then collected. Prepaid expenses sit at the end, because they never convert to cash at all. You consumed the benefit rather than receiving money back.

Most liquid to least: Cash → Marketable securities → Accounts receivable → Inventory → Prepaid expenses

Working capital

Working Capital = Current Assets − Current Liabilities

Not a ratio at all, a dollar amount. It answers what is left over after the current liabilities are settled. Here, $22,000 less $10,000 gives $12,000.

Current ratio

Current Ratio = Current Assets / Current Liabilities

Every current asset counts. $22,000 over $10,000 gives 2.2. For every $1 of current liabilities the company holds $2.20 of current assets.

Quick ratio, also called the acid-test ratio

Quick Ratio = (Cash + Marketable Securities + Accounts Receivable) / Current Liabilities

Inventory and prepaid expenses come out. It is the stricter test, because it only counts assets that can realistically be turned into cash quickly.

Operating cash flow ratio

Operating Cash Flow Ratio = Cash Flow from Operations / Current Liabilities

This one uses cash the business actually generated rather than accrual balances, which makes it the most conservative of the three.

The trap. Leaving inventory in the quick ratio. It comes out, and so do prepaid expenses. Quick ratio and acid-test ratio are two names for the same formula, and an exam question will use either one without warning.

What are the turnover ratios, and how does the cash conversion cycle work?

Turnover ratios measure efficiency: how many times in a year the company cycles through a given balance. Almost any turnover ratio converts into a days figure by dividing 365 by the turnover, and those days figures are what feed the cash conversion cycle.

Working capital turnover

Working Capital Turnover = Net Sales / Working Capital

$102,000 over $12,000 gives 8.5.

Asset turnover

Asset Turnover = Net Sales / Total Assets

$102,000 over $52,000 gives 2.0, or 1.96 before rounding.

Accounts receivable turnover

AR Turnover = Net Credit Sales / Average AR
Days in AR = 365 / AR Turnover

$102,000 over $10,000 gives 10.2, and 365 divided by 10.2 gives about 36 days to collect.

Inventory turnover

Inventory Turnover = COGS / Average Inventory
Days in Inventory = 365 / Inventory Turnover

$30,600 over $7,000 gives 4.4, and 365 divided by 4.4 gives about 83 days to sell.

Accounts payable turnover

AP Turnover = COGS / Average Accounts Payable
Days in AP = 365 / AP Turnover

$30,600 over $6,000 gives 5.1, and 365 divided by 5.1 gives about 72 days to pay. More days here helps cash flow, because the company is holding its money longer before handing it to vendors.

The cash conversion cycle

This is the one worth knowing cold. It measures how long cash is tied up between paying for inventory and collecting from the customer.

Cash Conversion Cycle = Days in Inventory + Days in AR − Days in AP
ComponentDaysWhy it moves that way
Days in inventory83Added. Longer to sell means cash is tied up longer.
Days in AR36Added. Longer to collect means cash is tied up longer.
Days in AP72Subtracted. Longer to pay means you keep the cash longer.
Cash conversion cycle4783 + 36 − 72

Shorter is generally better, because less working capital is trapped in the operating cycle.

The trap. Adding days in AP instead of subtracting it. Ask yourself what the number is doing: taking longer to pay your suppliers means your cash stays in your account, so it shortens the cycle. If you can reason it out you will never need to remember the sign.

Two notes on AP turnover. Some texts use purchases rather than COGS in the numerator, which is more precise but rarer on the exam. And this is the ratio where the cycle really gets tested, because it folds three separate turnover relationships into one story about the business.

What are the profitability ratios?

These measure how much of each sales dollar survives to the bottom line.

Profit margin

Profit Margin = Net Income / Net Sales

$5,100 over $102,000 gives 5%. Five cents of every sales dollar ends up as net income.

Gross profit margin

Gross Profit Margin = Gross Profit / Net Sales

$71,400 over $102,000 gives 70%.

Read the two together. The gap between 70% and 5% is everything consumed between gross profit and net income: selling costs, general and administrative expenses, interest and tax. When a question gives you both margins, that spread is usually the point of the question.

What are the debt ratios?

Debt ratios ask a different question from liquidity ratios. Liquidity asks whether the near-term bills can be paid. Debt ratios ask how much leverage sits on the balance sheet overall, and whether the interest on it can be serviced.

Total debt ratio

Total Debt Ratio = Total Liabilities / Total Assets

$37,000 over $52,000 gives about 71%. Roughly 71 cents of every dollar of assets is financed by creditors.

Debt-to-equity

Debt-to-Equity = Total Liabilities / Total Equity

$37,000 over $15,000 gives about 2.5.

Times interest earned

Times Interest Earned = EBIT / Interest Expense

$7,000 over $1,000 gives 7. Earnings cover the interest bill seven times over.

The trap. Forgetting to build EBIT. Questions hand you net income, not EBIT. Earnings before interest and taxes means you start at net income and add back both the interest expense and the tax expense. Miss either one and every downstream answer is wrong.

What are the investment ratios?

These serve two different readers. The company uses some of them to judge how well it is deploying capital. An investor uses the rest to judge whether the shares are attractively priced.

Return on assets

ROA = Net Income / Total Assets

$5,100 over $52,000 gives about 10%.

Return on equity

ROE = Net Income / Total Equity

$5,100 over $15,000 gives about 34%.

Equity multiplier

Equity Multiplier = Total Assets / Total Equity

$52,000 over $15,000 gives about 3.5.

Why ROE is so much higher than ROA here. Leverage. The same $5,100 of net income is being measured against $52,000 of assets in one case and only $15,000 of equity in the other, and the equity multiplier of 3.5 is exactly the size of that gap. A high ROE next to a modest ROA is a leverage story, not a profitability story, and exam questions like testing whether you know the difference.

Dividend payout ratio

Dividend Payout Ratio = Dividends Paid / Net Income

$510 over $5,100 gives 10%.

Earnings per share

EPS = (Net Income − Preferred Dividends) / Average Common Shares Outstanding

$5,100 with no preferred dividends over 1,000 shares gives $5.10. Preferred dividends come out first because that income belongs to preferred holders, not common ones. Spread the same earnings over more shares and EPS falls, which is what dilution means.

Price-to-earnings

P/E = Price Per Share / Earnings Per Share

A $25 share price over $5.10 of EPS gives about 4.9.

PEG ratio

PEG = P/E Ratio / Annual Earnings Growth Rate

PEG adjusts P/E for how fast earnings are growing, so a high P/E on a fast-growing company can still look reasonable.

Price-to-sales

Price-to-Sales = Market Capitalization / Annual Sales

Price-to-book

Price-to-Book = Market Capitalization / Total Equity
MultipleUse it when
P/EThe company is profitable and earnings are reasonably stable
PEGYou are comparing companies growing at different rates
Price-to-salesEarnings are negative, so P/E cannot be used at all
Price-to-bookAsset-heavy industries and financial institutions

The trap. Using P/E when earnings are negative. A negative P/E is not a cheap stock, it is a meaningless number. That is the whole reason price-to-sales exists, and a question that hands you a loss-making company is usually testing exactly this.

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Full formula reference

For final review. Every formula on this page in one place.

RatioFormulaWhat it answers
Liquidity
Working capitalCurrent assets − current liabilitiesWhat is left after current debts
Current ratioCurrent assets / current liabilitiesAll current assets against current debts
Quick ratio(Cash + marketable securities + AR) / current liabilitiesLiquid assets only against current debts
Operating cash flow ratioCash flow from operations / current liabilitiesReal cash against current debts
Turnover
Working capital turnoverNet sales / working capitalTimes working capital cycles
Asset turnoverNet sales / total assetsSales per dollar of assets
AR turnoverNet credit sales / average ARTimes receivables are collected
Days in AR365 / AR turnoverAverage days to collect
Inventory turnoverCOGS / average inventoryTimes inventory is sold
Days in inventory365 / inventory turnoverAverage days to sell
AP turnoverCOGS / average APTimes payables are paid
Days in AP365 / AP turnoverAverage days to pay
Cash conversion cycleDays in inventory + days in AR − days in APDays cash is tied up
Profitability
Profit marginNet income / net salesNet income per sales dollar
Gross profit marginGross profit / net salesGross profit per sales dollar
Debt
Total debt ratioTotal liabilities / total assetsDebt per dollar of assets
Debt-to-equityTotal liabilities / total equityDebt per dollar of equity
Times interest earnedEBIT / interest expenseTimes interest is covered
Investment
ROANet income / total assetsIncome per dollar of assets
ROENet income / total equityIncome per dollar of equity
Equity multiplierTotal assets / total equityAssets per dollar of equity
Dividend payout ratioDividends paid / net incomeShare of earnings distributed
EPS(Net income − preferred dividends) / average common sharesEarnings per share
P/EPrice per share / EPSPrice against earnings
PEGP/E / growth rateP/E adjusted for growth
Price-to-salesMarket capitalization / annual salesValue against revenue
Price-to-bookMarket capitalization / total equityValue against book value

Frequently asked questions

Which ratio formulas matter most for FAR?

The current ratio, quick ratio, AR turnover, inventory turnover, debt-to-equity, times interest earned, ROA, ROE and the cash conversion cycle. If you know those nine cold, you can reason through most of the rest.

Is the quick ratio the same as the acid-test ratio?

Yes. Two names, one formula. Both exclude inventory and prepaid expenses, and an exam question may use either name.

How is the cash conversion cycle tested?

Three ways. Directly as a formula, indirectly by giving you the turnover ratios and making you convert them to days first, or as part of a broader question about how an operational change affects working capital.

What is the difference between ROA and ROE?

ROA measures income against every dollar of assets, however they were financed. ROE measures income against the owners' money only. ROE is higher whenever a company uses debt, and the gap between them is the leverage.

Why is inventory excluded from the quick ratio?

Because it is two steps away from cash rather than one. Inventory has to be sold before it becomes a receivable, and the receivable has to be collected before it becomes cash. The quick ratio only counts what can realistically be converted in time to pay a current liability.

Do I need to memorize every ratio for the CPA exam?

No. Learn the most frequently tested ones properly, then use the naming patterns to rebuild the rest. Reading the denominator as "for every $1 of" will get you further under pressure than a memorized list will.

See how the rest of the material gets taught

CPA 101 is free and covers the 2026 AICPA released questions plus a study outline. No credit card, and you will know within an evening whether the explanations work for you.

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Kyle Ashcraft, CPA scored 90 or above on every section of the CPA exam in 2019, including a 95 on FAR. He is the founder and sole instructor of Maxwell CPA Review, a complete CPA review course covering all six sections, where he creates every lecture, textbook and study outline himself.

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