3.5 Financial Ratio Analysis
SLO 2
Interpret the income statement, balance sheet, and statement of cash flows of a small business to assess profitability, liquidity, and solvency, and apply core accounting concepts (accrual vs. cash basis, matching principle, depreciation, materiality)—including why net income and cash position can differ—to explain financial results in plain, non-technical language suitable for a business owner without an accounting background.
Four ratios pull the three statements back together: gross and net margin for profitability, the current ratio for liquidity, debt-to-equity for how the business is funded. You compute each one and say in a sentence what it tells an owner.
Learning Objectives
By the end of this section, you will be able to:
- calculate gross margin, net margin, the current ratio, and debt-to-equity from a set of financial statements;
- explain in plain language, without jargon, what each of those four ratios tells a business owner;
- identify red flags in a set of financial statements that would concern a lender or a partner.
Sections 3.2 through 3.4 opened the three financial statements one at a time. This section is where they come back together — not by reading all three cover to cover every month, which nobody actually does, but by pulling a handful of numbers out of them that you can track, compare, and explain in a sentence.
3.5.1 Why ratios, when you already have the statements
Reading all three statements carefully every month is more than most small business owners will actually do. It is also more than a banker reviewing a stack of loan applications will do. Both of them need a faster way in.
In addition to reviewing the financial statements to make decisions, owners and other stakeholders use financial ratios to assess the financial health of the organization. Ratios are a common, easy, and useful way to analyze the statements — a small number of figures that condense several pages into something you can track month over month and explain out loud.
The financial statements provide feedback to owners about financial performance and financial position, which helps them make decisions about the business. Ratios are what make that feedback usable week to week.
There is also a comparability problem that ratios solve. Section 3.3 noted that you generally should not compare the balance sheets of two different companies directly, because their sizes differ — you would not compare a local retail store with Walmart. Working capital, for instance, is a dollar amount, and a dollar amount can mislead across business sizes: $1,000 is far more material to an independent local movie theater than it is to a national chain. Using percentages or ratios lets financial statement users compare small and large businesses on the same terms. It also lets you compare your own business against last year without being fooled by the fact that you are simply bigger now.
A dollar amount answers "how much." A ratio answers "how much, compared to what." That second question is the one that survives a change in the size of the business, which is why it is the one a lender asks.
Professional analysts have made the same move. As faith in earnings-based metrics fell in the wake of Enron and WorldCom, many analysts gravitated toward the cash flow statement, and companies are now regularly evaluated on free cash flow yield and other measures of cash generation. Ratios of this kind let a user analyze statement data to see a company's ability to pay current debt, and to judge whether operating cash flow can sustain the business as a going concern.
The four ratios in this section. Each one pulls from a different place and answers a different question.
| Ratio | Formula | The question it answers |
|---|---|---|
| Gross margin | (Net sales − COGS) ÷ Net sales | Is there enough markup to cover everything else? |
| Net margin | Net income ÷ Net sales | What is left out of every sales dollar? |
| Current ratio | Current assets ÷ Current liabilities | Can the business pay what is due within a year? |
| Debt-to-equity | Total liabilities ÷ Total equity | How much of the business was funded by borrowing? |
Gross margin and net margin come from the income statement, and they measure profitability. The current ratio comes from the balance sheet and measures liquidity. Debt-to-equity also comes from the balance sheet and measures leverage — how the business is financed. Together they cover the three questions a lender asks: does it earn, can it pay, and who really owns it.
Yesenia Ocampo runs a neighborhood coffee shop with annual sales of $180,000. Her cousin manages a regional coffee chain with annual sales of $4 million. Both report working capital of exactly $12,000. Explain why that identical $12,000 means very different things in the two businesses, and name the kind of figure that would let Yesenia compare them fairly.
Solution
Why the same number is not the same news. Working capital is a dollar amount — current assets minus current liabilities. It says nothing about the size of the business it belongs to. For Yesenia's $180,000 shop, $12,000 is a meaningful cushion: it is several weeks of operating costs sitting in reserve. For her cousin's $4 million chain, $12,000 is roughly a day of sales. The same cushion that is comfortable in the first business is close to nothing in the second.
What would compare them fairly. A ratio — specifically the current ratio, current assets divided by current liabilities. Because both the top and the bottom of that fraction scale with the size of the business, the result does not inflate just because the company got bigger. Yesenia's shop might come in at 2.4 to 1.00 and her cousin's chain at 1.05 to 1.00, and now the comparison is honest.
Answer: The $12,000 is a large cushion relative to Yesenia's shop and a negligible one relative to her cousin's chain, because a dollar amount carries no information about the size of the business it sits in. A ratio — here, the current ratio — puts both businesses on the same scale by dividing one balance-sheet figure by another.
3.5.2 Profitability: gross margin and net margin
Profitability ratios come off the income statement. There are two of them here, and the useful skill is reading them as a pair rather than one at a time.
Gross margin
Gross margin starts with a concept from the multi-step income statement in §3.2: cost of goods sold.
For a business that sells physical products, cost of goods sold — sometimes called cost of sales — is an expense reflecting the cost of the merchandise that customers purchased during the period. It is what the business paid for the inventory items that were then sold.
The mechanics are worth being precise about, because they are widely misunderstood. Suppose a convenience store pays $2 in cash for a box of cookies on Monday and sells it to a customer for $3 on Friday. The income statement recognizes revenue of $3 — the increase in net assets created by the sale — and cost of goods sold of $2 — the decrease in net assets from the inventory leaving. Both are recorded on Friday, when the sale took place and the inventory was removed, not on Monday when the cash was paid. This is the matching principle from §3.2 doing its work: the cost is matched to the revenue it produced.
The difference between revenue and cost of goods sold is the company's gross profit, also called gross margin or markup. It is one of the figures studied most carefully by decision makers, and expressing it as a percentage of sales is what turns it into a ratio you can track.
The gross profit margin ratio is the portion of each sales dollar remaining after the cost of the goods sold, available to cover operating expenses and profit:
$$ \text{Gross margin} = \frac{\text{Net sales} - \text{COGS}}{\text{Net sales}} $$Gross margin is the money left to run the entire business. Lose four points of it and every fixed cost you already committed to — rent, wages, insurance — has to be covered out of a smaller pot, at the same sales volume.
Definition 3.5.1 — Gross profit margin ratio: what survives the cost of the goods is what is left to run everything else.
The larger the margin, the more room the company has to reinvest in the business, pay down debt, and return money to its owners.
Rafa Solano's auto parts store reports net sales of $293,500 and cost of goods sold of $180,000. Calculate their gross profit margin ratio, and state in one sentence what the result means for them as the owner.
Solution
Step 1 — subtract the cost of the goods from sales. This gives gross profit, the dollar amount left before any operating expenses:
$$ \$293,500 - \$180,000 = \$113,500 $$Step 2 — divide by net sales to convert the dollar amount into a percentage that can be compared across periods:
$$ \frac{\$113,500}{\$293,500} = 0.3867 \approx 0.39 $$Step 3 — state it as a percentage. \(0.39 = 39\%\).
Answer: The gross profit margin ratio is 0.39, or 39%. Thirty-nine cents of every sales dollar remains after Rafa pays for the goods themselves, and that 39 cents is what has to cover their rent, wages, utilities, insurance, and whatever is left over as profit.
In plain language: gross margin is the answer to "how much room do I have?" If it is 39%, then every $100 of sales leaves $39 for everything else. If your fixed operating costs run $4,000 a month, you need roughly $10,250 of sales a month before you break even — and if gross margin drops to 30%, that same $4,000 of costs now needs about $13,300 of sales. A few points of gross margin change the whole shape of the business, which is why a falling gross margin is one of the most important signals a product business has.
Note that gross margin is only meaningful if the income statement is prepared in the multi-step format. A simple income statement does not separate cost of goods sold from operating expenses, so gross margin cannot be read off it at all. A service business with no inventory may not have a meaningful cost of goods sold in the first place.
Net margin
Where gross margin looks at what is left after the cost of the goods, net margin looks at what is left after everything.
Net income is the figure the income statement arrives at after revenues and gains less expenses and losses — the bottom line from §3.2. Dividing it by sales converts it from a dollar amount into a percentage that can be compared across periods and across businesses of very different sizes.
The net profit margin is the portion of each sales dollar remaining after every expense of doing business, including operating expenses, interest, and taxes:
$$ \text{Net margin} = \frac{\text{Net income}}{\text{Net sales}} $$Definition 3.5.2 — Net profit margin: the same sales dollar after the second cut, with only 8 cents left.
Continuing with Rafa's store from Example 3.5.1: after the $180,000 of cost of goods sold, operating expenses and interest bring their net income to $23,480 on net sales of $293,500. Calculate the net profit margin.
Solution
Step 1 — divide net income by net sales. Both figures come off the same income statement, for the same period:
$$ \frac{\$23,480}{\$293,500} = 0.0800 $$Step 2 — state it as a percentage. \(0.08 = 8\%\).
Answer: The net profit margin is 0.08, or 8%. Out of every $100 a customer spends, $8 remains as profit after every cost of doing business. Compare that with the 39% gross margin from Example 3.5.1: the 31-point gap between them is what it costs Rafa to run their store.
In plain language: net margin is the answer to "what do I actually keep?"
Reading the two together
The pair is far more informative than either one alone, because the gap between them is the cost of running the business.
| Gross margin | Net margin | What it suggests |
|---|---|---|
| High | High | Healthy pricing and controlled overhead |
| High | Low | Pricing is fine; operating costs are eating the margin — look at rent, wages, overhead |
| Low | Low | The problem is at the top: pricing, purchasing costs, or discounting |
| Low | High | Unusual — high volume on thin markup, or income from non-operating sources |
The second row is the most common diagnosis in a struggling small business, and it is one an owner can act on quickly. It is also the reason a lender asks for both figures rather than just the bottom line: the bottom line tells you there is a problem, and the pair tells you where it is.
Two cautions follow from §3.2. First, these ratios are built on net income, and the importance of any single balance should never be overemphasized — a full evaluation looks at the entity as a whole. Second, both ratios are computed on accrual figures, so a strong net margin says nothing directly about whether the cash actually arrived. That is what the current ratio and the statement of cash flows are for.
Grant Whitlock and his husband run a print shop. It reports net sales of $420,000, cost of goods sold of $168,000, and net income of $8,400. Calculate both margins, then say which of the four rows in the table above their business falls into and what Grant should look at first.
Solution
Step 1 — gross margin.
$$ \frac{\$420,000 - \$168,000}{\$420,000} = \frac{\$252,000}{\$420,000} = 0.60 $$Gross margin is 60%.
Step 2 — net margin.
$$ \frac{\$8,400}{\$420,000} = 0.02 $$Net margin is 2%.
Step 3 — place it in the table. A 60% gross margin is strong for a print shop; a 2% net margin is very thin for one. That is the high gross / low net row.
Answer: Gross margin 60%, net margin 2% — the high-gross, low-net case. The pricing and the cost of materials are not the problem: Grant's shop keeps 60 cents of every sales dollar after paying for paper and ink. Fifty-eight of those sixty cents are then consumed by operating costs. He should look at overhead first — rent, equipment leases, wages, and any expense that is fixed month to month — rather than at raising prices.
3.5.3 Liquidity: working capital and the current ratio
Profitability tells you whether the business earns. Liquidity tells you something more immediate: whether it can pay what it owes this year.
What liquidity means
Before the ratio, the concept.
Liquidity is a business's ability to convert assets into cash to meet short-term cash needs.
Definition 3.5.3 — Liquidity: assets reach cash at different speeds, in the order the balance sheet already lists them.
Assets differ in how quickly they can be converted. Among the most liquid are accounts receivable and, for a merchandising or manufacturing business, inventory. Receivables are highly liquid because they represent goods or services already sold that will typically be paid within thirty to forty-five days. Inventory is less liquid than receivables, because the product must first be sold before it generates cash — through either a cash sale or a sale on account. But inventory is more liquid than land or buildings, because under most circumstances it is easier and quicker to find someone to buy your goods than to find a buyer for real estate.
This is exactly why the balance sheet lists assets in order of liquidity, as §3.3 noted: cash first, then investments expected to be sold soon, then receivables, then inventory, then the long-lived assets.
Working capital
The starting point for understanding liquidity ratios is working capital.
Working capital is the dollar amount of current assets a business has available to meet its current liabilities:
$$ \text{Working capital} = \text{Current assets} - \text{Current liabilities} $$
Definition 3.5.4 — Working capital: the cushion between what is due within the year and what is on hand to meet it.
Recall from §3.3 that current assets and current liabilities are amounts generally settled in one year or less.
- A positive working capital amount is desirable. It indicates the business has sufficient current assets to meet its short-term obligations and still has financial flexibility.
- A negative amount is undesirable. It signals that the business should pay particular attention to the composition of its current assets — how liquid they really are — and to the timing of its current liabilities.
It is unlikely that all current liabilities will come due at the same time. Even so, the working capital figure gives stakeholders an indication of the firm's ability to meet short-term obligations, and it does so for businesses both small and large.
Working capital carries the size limitation described at the top of this section: it is a dollar amount, and dollar amounts are hard to compare across businesses. Caterpillar disclosed working capital of $9.790 billion at the end of 2010 — current assets of $31.810 billion less current liabilities of $22.020 billion. That number is meaningless next to a landscaping business's working capital of $4,000, not because one company is healthier, but because the two are not on the same scale.
The current ratio
The current ratio is closely related to working capital, and it solves the scale problem by expressing the same relationship as a ratio rather than as a dollar amount.
The current ratio measures how many dollars of short-term resources a business holds for each dollar of short-term obligation:
$$ \text{Current ratio} = \frac{\text{Current assets}}{\text{Current liabilities}} $$Working capital subtracts; the current ratio divides. Subtraction answers "how much is left over," which only means something once you know how big the business is. Division answers "how many times over can I cover it," which means the same thing at any size.
Definition 3.5.5 — Current ratio: how many times over the short-term resources cover the short-term obligations.
It uses exactly the same two figures as working capital, and the interpretation is similar:
- A ratio greater than 1 indicates the firm can meet its short-term obligations with a buffer.
- A ratio less than 1 indicates the firm should pay close attention to the composition of its current assets and to the timing of its current liabilities.
Both figures reflect a company's liquidity — its ability to pay debts as they come due and still have enough monetary resources available to generate profits in the near future. Investors and creditors frequently calculate, study, and analyze both. They are vital signs that help indicate the financial health of a business and its future prospects, in much the way a doctor beginning a physical examination checks heart rate, blood pressure, weight, and temperature, looking for any sign of a serious change. If a person's blood pressure has increased significantly since the last visit, the doctor investigates with special care. Ratios work the same way, and the next example is a case where the change carries all of the information.
On December 31, 2010, Avon Products reported current assets of $4.184 billion and current liabilities of $2.956 billion. At the end of 2009 its current ratio had been 1.84 to 1.00. Calculate the 2010 ratio and state what a lender would notice.
Solution
Step 1 — divide current assets by current liabilities.
$$ \frac{\$4.184\text{ billion}}{\$2.956\text{ billion}} = 1.42 $$The 2010 current ratio is 1.42 to 1.00.
Step 2 — compare it against the prior year. The ratio fell from 1.84 to 1.42 in a single year, a drop of 0.42.
Step 3 — decide which fact carries the information. The 1.42 on its own is fine: anything above 1.00 means Avon could cover its current obligations out of its current assets. The interesting fact is the direction.
Answer: The current ratio is 1.42 to 1.00, down from 1.84 to 1.00. A lender would notice the drop, not the level. Liquidity fell meaningfully in one year, and that is the kind of change a doctor would investigate with special care — the same thing a lender does when a small business's statements show the same pattern.
Dev Raghunathan is the loan officer reviewing Davidson Groceries. They pull the balance sheet from §3.3: current assets of $161,000 and current liabilities of $57,000. Compute both the working capital and the current ratio, and interpret the ratio in one plain sentence for them.
Solution
Step 1 — working capital (subtract).
$$ \$161,000 - \$57,000 = \$104,000 $$Step 2 — current ratio (divide).
$$ \frac{\$161,000}{\$57,000} = 2.82 $$Step 3 — interpret. The ratio is read as 2.82 to 1.00.
Answer: Working capital is $104,000 and the current ratio is 2.82 to 1.00. Davidson holds $2.82 of short-term resources for every $1.00 of short-term obligation, which Dev would read as a comfortable position — it could cover everything due within the year nearly three times over.
In plain language: the current ratio is the answer to "if everything I owe in the next year came due at once, could I cover it out of what I already have or expect to collect?"
One caution follows directly from §3.3 and §3.4. Current liabilities include taxes payable — the sales tax and payroll tax the business is holding for government agencies. Those amounts belong in the denominator, and correctly so: they are real obligations coming due. An owner who leaves them out because "that money is just passing through" will compute a current ratio that overstates the business's position, and will be the last person to know it.
Darius Coleman and his husband own a bakery. Its balance sheet shows current assets of $46,000 and current liabilities of $52,000, of which $9,000 is sales tax collected from customers and not yet remitted to the state. Compute working capital and the current ratio. Then explain what happens to both figures if Darius argues that the sales tax "isn't really ours, so it shouldn't count," and why his argument is wrong.
Solution
Step 1 — as reported.
$$ \text{Working capital} = \$46,000 - \$52,000 = -\$6,000 $$ $$ \text{Current ratio} = \frac{\$46,000}{\$52,000} = 0.88 $$Working capital is negative $6,000 and the current ratio is 0.88 to 1.00 — below 1, so short-term obligations exceed short-term resources.
Step 2 — with the sales tax wrongly excluded. Current liabilities would fall to \(\$52,000 - \$9,000 = \$43,000\):
$$ \text{Working capital} = \$46,000 - \$43,000 = \$3,000 $$ $$ \text{Current ratio} = \frac{\$46,000}{\$43,000} = 1.07 $$The picture flips from negative working capital to positive, and from a ratio below 1 to one above it.
Step 3 — why the argument fails. Darius is right that the money is not the bakery's to keep, and that is precisely the point: it is owed to the state, on a due date, and it is going out. An obligation that must be paid within the year is a current liability whether the business earned the money or merely collected it. Removing it does not make the obligation disappear; it only hides it from the ratio.
Answer: Working capital is negative $6,000 and the current ratio is 0.88. Excluding the sales tax would show $3,000 and 1.07 — a bakery that looks solvent instead of one that is short. The exclusion is wrong because sales tax payable is a real obligation with a real due date, and the whole purpose of the current ratio is to compare what is coming in against what is going out.
3.5.4 Leverage: the debt-to-equity ratio
Profitability tells you whether the business earns. Liquidity tells you whether it can pay its bills this year. Leverage tells you something different: how the business was funded, and how much risk that funding choice carries.
Why liabilities get this much attention
Investors, creditors, and other interested parties who analyze a company usually spend considerable time studying the data provided about liabilities, often focusing on current liabilities. The reason is direct: liabilities represent claims to a company's assets. Debts must be paid as they come due or the entity risks serious consequences. Missed payments may damage a company's ability to obtain credit in the future, and if obligations are not met, even bankruptcy can quickly become a possibility.
To stay viable, an organization has to manage its liabilities carefully and generate enough cash on an ongoing basis to meet all required payments. Virtually no other goal is more important, to company officials and external decision makers alike.
The general principle a lender applies is this: the larger a liability total is in comparison to the reported amount of assets, the riskier the financial position. The future is always cloudy for a business when the size of its debts begins to approach the total of its assets.
The debt-to-equity ratio
One vital sign often studied by decision makers puts that comparison into a single number.
The debt-to-equity ratio compares what a business owes against what its owners have in it:
$$ \text{Debt-to-equity} = \frac{\text{Total liabilities}}{\text{Total equity}} $$
Definition 3.5.6 — Debt-to-equity ratio: how much of a business was funded by creditors rather than by its owners.
The resulting number indicates whether most of a company's assets came from borrowing and other debt, or from its own operations and its owners. A high debt-to-equity ratio indicates that a company is highly leveraged.
Real companies vary widely, and there is no single correct strategy. The four below were all healthy, well-known businesses at the time these figures were reported.
| Company | Debt-to-equity ratio |
|---|---|
| Kellogg Company | 4.50 to 1.00 |
| J.C. Penney Company | 1.39 to 1.00 |
| Monsanto Company | 0.76 to 1.00 |
| The Walt Disney Company | 0.76 to 1.00 |
The ratio indicates a company's policy toward debt, but other factors are involved. In some industries debt levels tend to run higher than in others, and individual responses to economic conditions affect some companies more than others. A number that is normal for one industry may be alarming in another, which is why the ratio is a question to ask rather than a grade to assign.
Carmen Villasenor and her wife are considering buying into Davidson Groceries. From §3.3, it reported total liabilities of $577,000 and total stockholders' equity of $629,000. Compute the debt-to-equity ratio and state what it tells Carmen about how the business was funded.
Solution
Step 1 — divide total liabilities by total equity.
$$ \frac{\$577,000}{\$629,000} = 0.917 \approx 0.92 $$Step 2 — read it. The ratio is 0.92 to 1.00, meaning Davidson owes 92 cents for every dollar of owners' stake — the stake Carmen would be buying part of.
Answer: The debt-to-equity ratio is 0.92 to 1.00. Creditors funded slightly less of the business than the owners did — a little under half of the company's assets came from borrowing. That is a moderate position, well below Kellogg's 4.50 and above Disney's 0.76.
What leverage actually buys — and costs
To interpret the ratio you need to understand why a business would deliberately carry debt at all. There are three advantages, and the third is the important one.
Interest is tax deductible. A company essentially recoups a significant portion of its interest costs from the government. Xerox incurred interest expense of $592 million, which reduced its taxable income by that amount; at an assumed 35% effective tax rate, its tax bill fell by $207.2 million, so the net cost of borrowing for the period was $384.8 million rather than $592 million.
Debt can be eliminated. Liabilities are not permanent. If the economic situation changes, a company can rid itself of all debt by making payments as each balance comes due. By contrast, if money is raised by issuing ownership, the new owners can maintain their stake indefinitely.
Financial leverage. This is the biggest advantage commonly linked to debt, and it is the one the ratio is really measuring.
Financial leverage is an organization's ability to increase its reported net income by earning more on borrowed funds than the interest those funds cost.
Definition 3.5.7 — Financial leverage: the interest bill does not move when earnings do, so borrowing multiplies the result in both directions.
If a company borrows $1 million at 5% per year, annual interest is $50,000. If that $1 million generates a profit of $80,000 — added revenue minus added operating expenses — net income rises by $30,000 using funds provided entirely by creditors. The owners contributed nothing additional and are $30,000 better off.
Over the decades many companies have adopted a strategy of being highly leveraged, meaning most of their funds come from debt financing. If the business is profitable, the owners can earn large profits with little or no investment of their own. Unfortunately, companies that take this approach face a much greater risk of falling into bankruptcy, because of the large amounts of interest that must be paid at regular intervals whether or not the business had a good year.
That is the trade-off the ratio measures. Relying on debt financing makes a company more vulnerable to bankruptcy and other financial problems, while also giving the owners a chance at higher rewards. A high debt-to-equity ratio is not automatically bad and a low one is not automatically good — but the higher it is, the less room for error the business has, because the interest bill does not shrink when sales do. The next example runs the arithmetic in both directions so you can see exactly where the risk lives.
An owner invests $100,000 to start a business and immediately borrows $400,000 at 6% annual interest. Compute the owner's return if the business earns 10% on its assets, then recompute it if the business earns only 4%.
Solution
Step 1 — total assets. The owner's $100,000 plus the borrowed $400,000 gives $500,000 of assets put to work.
Step 2 — the 10% case. Profit on assets:
$$ \$500,000 \times 0.10 = \$50,000 $$Interest cost:
$$ \$400,000 \times 0.06 = \$24,000 $$Profit after interest:
$$ \$50,000 - \$24,000 = \$26,000 $$Return on the owner's investment:
$$ \frac{\$26,000}{\$100,000} = 0.26 = 26\% $$Step 3 — the 4% case. Everything is the same except the profit on assets:
$$ \$500,000 \times 0.04 = \$20,000 $$The interest bill is unchanged at $24,000, so:
$$ \$20,000 - \$24,000 = -\$4,000 $$ $$ \frac{-\$4,000}{\$100,000} = -0.04 = -4\% $$Answer: At a 10% return on assets the owner earns 26% — money that cost 6% was put to work at 10%, and the whole residual went to the owner. At a 4% return on assets the owner loses 4%, because the $24,000 of interest is owed in full regardless of how the business performed. Leverage multiplies the result in both directions, which is exactly why a high debt-to-equity ratio means less room for error.
A note on interest coverage
A related measure worth knowing by name is times interest earned, often abbreviated TIE. Debt normally becomes a risk only if the interest cannot be paid when it is due, and this calculation helps measure how easily a company has been able to meet its interest obligations out of current operations. Where debt-to-equity asks "how much debt is there?", times interest earned asks "can the business comfortably service it?" — often the more urgent question for a small business, whose lender cares less about the size of the loan than about whether the monthly payment will clear.
In plain language: debt-to-equity is the answer to "how much of this business is really mine, and how much belongs to the people I owe?" A ratio of 0.92 means creditors funded slightly less than the owners did. A ratio of 4.50 means creditors funded four and a half times what the owners did, and every dollar of profit has to clear a large interest bill before any of it reaches the owner.
Omar Haddad's landscaping business reports total liabilities of $310,000 and total equity of $62,000. Compute the debt-to-equity ratio. Then explain, using the leverage arithmetic from Example 3.5.6, why a lender would want to see his times interest earned figure before approving another loan.
Solution
Step 1 — compute the ratio.
$$ \frac{\$310,000}{\$62,000} = 5.0 $$The debt-to-equity ratio is 5.00 to 1.00.
Step 2 — what that level means. Creditors have funded five times what Omar has. This is higher than Kellogg's 4.50 in Table 3.5.3, and Kellogg is a very large company in an industry where high debt is normal. For a landscaping business it is an aggressive position.
Step 3 — why the lender asks about interest coverage next. Example 3.5.6 showed that the interest bill does not move when earnings do. A highly leveraged business earning well above its interest rate looks excellent; the same business in a slow season still owes every dollar of interest and swings straight to a loss. The debt-to-equity ratio tells the lender how large that fixed bill is relative to the owner's stake, but it does not say whether current operations can actually cover it.
Answer: The ratio is 5.00 to 1.00 — an aggressively leveraged position for a small business. A lender would ask Omar for times interest earned because debt-to-equity measures how much debt there is, not whether the business can service it. With this little owner equity as a cushion, one weak season could leave him unable to make his interest payments, and TIE is the figure that shows whether that is already close.
3.5.5 Reading a statement for red flags
The previous subsections computed ratios. This one is about reading them — and reading the statements around them — for signs of trouble, either in your own business or in a set of statements someone has handed you.
A red flag is not a verdict. It is a place to investigate with special care. Each of the signals below is a legitimate result in some circumstances and a warning in others, and the skill is knowing which questions the signal raises.
Red flag 1 — Cash flow does not track net income
This is the most consequential signal, and the one this chapter has been building toward. A company whose statement of cash flows shows significantly less cash inflow than the net income reported on its income statement may be recognizing revenue for which cash will never be received from the customer, or it may be underreporting expenses.
For a small business the interpretation is usually less dramatic and just as important: profitable months that consistently produce weak or negative operating cash flow mean the profit is being converted into receivables and inventory rather than into money. Section 3.4 walked through exactly how that happens.
What to ask: Are customers paying more slowly than they used to? Is inventory building up? Is the revenue real?
Red flag 2 — Absent or negative free cash flow
Free cash flow is cash flow from operating activities, reduced by planned capital expenditures and planned cash dividends or owner distributions.
Definition 3.5.8 — Free cash flow: operating cash less the planned spending, and here it lands below zero.
For the Propensity Company example from §3.4, the arithmetic runs as follows.
| Item | Amount (dollars) |
|---|---|
| Cash flow from operating activities | 13,840 |
| Less: cash planned for capital expenditures | (40,000) |
| Less: cash distributions | (440) |
| Free cash flow | negative |
The absence of free cash flow is an indicator of severe liquidity concern, and it can be an early indicator that a company may not be able to continue operations.
But it is genuinely ambiguous, and this is exactly why a red flag calls for investigation rather than a conclusion. The same negative figure could reflect a one-time occurrence in a year when a large capital investment was planned and financed from cash reserves built up by earlier years' profits. In that case the negative free cash flow is not a concern at all — it is a deliberate, funded expansion, the same pattern Walgreen showed in §3.4.
What to ask: Was this a planned investment with a funding source behind it, or is the business simply spending more than it generates?
Red flag 3 — Burn rate and the composition of current liabilities
Investors and creditors look at current liabilities in part to calculate a company's burn rate.
Burn rate is the monthly or annual cash need of a company — the amount of cash it uses in excess of the cash created by its business operations. It is used to estimate how long a business can maintain operations before becoming insolvent.
Correct reporting of current liabilities is what lets an owner, a lender, or an investor see the real cash need. Misstate it and the cash need goes unmet — and a business can go out of business quickly on a mistake that looked like paperwork.
Definition 3.5.9 — Burn rate: how fast the reserve falls, and how many months of operation are left.
Burn rate indicates how quickly the company is consuming its cash. Many start-ups have a high burn rate because of spending to launch, which produces low cash flow; at first, start-ups typically do not generate enough cash to sustain operations at all.
This is why the proper classification of liabilities as current matters so much. Correct reporting of current liabilities helps decision makers understand the burn rate and how much cash the company needs to meet both its short-term and long-term obligations. A creditor's, investor's, or owner's understanding of specific cash needs is what supports good financial decisions.
What to ask: How many months of operations does the current cash position actually fund? Are all current obligations — including taxes payable — on the balance sheet?
Red flag 4 — Receivables aging
One indication of a company's financial health is its ability to collect receivables in a timely fashion. Money cannot be put to productive use until it is received, which is why businesses work to encourage customers to pay quickly. There is a second reason as well: the older a receivable becomes, the more likely it is to prove worthless.
Interested parties both inside and outside a company frequently monitor the time taken to collect. Quick collection is normally viewed as desirable, and a slower rate can be a warning sign of possible problems. As with most generalizations, exceptions exist, so further investigation is always advised.
The age of receivables is the average number of days a business waits to collect, found by dividing the receivable balance by average sales per day:
$$ \text{Age of receivables} = \frac{\text{Receivables}}{\text{Sales per day}} $$
Definition 3.5.10 — Age of receivables: three collection periods on one day scale, where the change matters more than the level.
Credit sales are used if they are known, but the total sales figure often serves as a substitute because of availability. Sales are first divided by 365 to derive sales per day, and that daily figure is then divided into the reported receivable balance.
Mei-Lin Chen's distribution company reports sales for the current year of $7,665,000 and holds $609,000 in receivables. Compute the age of her receivables. Then compare it with Dell Inc., which for the year ended January 28, 2011 reported net revenue of $61.494 billion and a net accounts receivable balance of $6.493 billion, up from $5.837 billion the year before.
Solution
Step 1 — Mei-Lin's sales per day.
$$ \frac{\$7,665,000}{365} = \$21,000 $$Step 2 — her age of receivables.
$$ \frac{\$609,000}{\$21,000} = 29 \text{ days} $$Step 3 — Dell's sales per day.
$$ \frac{\$61.494\text{ billion}}{365} = \$168.5 \text{ million} $$Step 4 — Dell's age of receivables.
$$ \frac{\$6.493\text{ billion}}{\$168.5\text{ million}} = 38.5 \text{ days} $$Answer: Mei-Lin's company waits an average of 29 days to collect; Dell waits 38.5 days. Neither figure is good or bad by itself. Assessment depends on the payment terms each company gives its customers, on the collection time in its own recent years, and on comparable figures elsewhere in its industry — and note that Dell's receivable balance rose year over year, which is the change an analyst would look into next.
By itself an age-of-receivables figure is neither good nor bad, but a significant change in it will be quickly noted by almost any interested party. A business whose collection period drifts from 29 days to 50 days has a developing problem whether or not its income statement shows one.
What to ask: Is the collection period lengthening? Does it match the payment terms actually offered?
Red flag 5 — A deteriorating trend in any vital sign
The Avon figures in Example 3.5.3 make the general point. A current ratio of 1.42 is not itself alarming. A current ratio that fell from 1.84 to 1.42 in a single year is worth investigating, because the direction is the information.
This applies to every ratio in this section. A single figure is a snapshot; a trend is a story. Because you generally cannot compare your balance sheet directly against another company's, your own prior periods are the most reliable comparison you have — and they are the comparison that will make a lender most confident that you understand your own business.
Bringing it together
Every signal above has a benign reading and a concerning one. The table collects them for reference.
| Signal | Benign explanation | Concerning explanation |
|---|---|---|
| Operating cash flow well below net income | One slow-paying large customer this period | Revenue recognized that will never be collected |
| Negative free cash flow | Planned, funded expansion | Operations do not generate enough to sustain the business |
| High burn rate | Start-up phase with funding in place | Cash exhausted before operations become self-sustaining |
| Lengthening receivable age | Deliberate change to customer payment terms | Customers cannot or will not pay |
| Falling current ratio | One-time inventory build ahead of a season | Short-term obligations outrunning short-term resources |
| Falling gross margin | Temporary promotional pricing | Costs rising faster than prices, or discounting to hold volume |
None of the right-hand entries is proved by the ratio. Each is a hypothesis the ratio makes visible, and the value of running these numbers monthly is that you form the hypothesis while there is still time to act on it. That is the practical purpose of everything in this chapter.
Chapter 7 returns to this material from the other direction: how to summarize these figures in plain language for a lender, a partner, or an investor, and how to tell which questions belong to a CPA rather than to you.
Beatriz Alcantara's cafe shows net income of $31,000 and cash flow from operating activities of $4,000 for the year. Her inventory rose by $9,000 during the year and her accounts receivable rose by $16,000. Name the red flag, give one benign explanation and one concerning explanation, and state the single question you would ask Beatriz first.
Solution
Step 1 — identify the signal. Net income of $31,000 against operating cash flow of $4,000 is a $27,000 gap. That is Red flag 1: cash flow does not track net income.
Step 2 — locate the gap. Receivables rose $16,000 and inventory rose $9,000, which together account for $25,000 of the $27,000. The profit is real on paper but is sitting in unpaid invoices and unsold stock rather than in the bank.
Step 3 — the benign reading. Beatriz may have deliberately taken on catering accounts that pay on thirty-day terms, and stocked up on beans ahead of a busy season. Both convert to cash shortly, and the gap closes on its own next period.
Step 4 — the concerning reading. Her catering customers may not be paying at all, and the extra inventory may not be selling. In that case the reported profit will eventually be reversed as bad debt or written-down stock, and the business has been running on a number that was never money.
Answer: The red flag is operating cash flow well below net income, with the difference sitting in a $16,000 increase in receivables and a $9,000 increase in inventory. Benign: deliberate expansion into terms-based catering plus a seasonal inventory build. Concerning: customers who cannot or will not pay, and stock that is not moving. The first question to ask Beatriz is about the receivables — which customers owe her $16,000, and how old is each of those invoices? — because the age of a receivable is the single best predictor of whether it will ever become cash.
Problem Set 3.5
Problem 1. Explain why a lender reviewing a stack of small business loan applications relies on ratios rather than reading each set of financial statements in full. Name the two distinct problems ratios solve.
Solution
Step 1 — Name what a lender is actually trying to do: A lender isn't grading each business on its own terms — it's trying to rank a stack of applications against each other and against a lending standard, fast. That job runs into two separate problems that ratios exist to solve.
Step 2 — The scale problem: Raw dollar figures can't be compared across businesses of different sizes. $50,000 in profit means something very different for a corner shop than for a regional chain. A ratio (like net income divided by sales) strips out size and leaves a percentage that means the same thing no matter how big the business is — so a $50,000 bakery and a $5,000,000 distributor can be lined up side by side.
Step 3 — The speed problem: A lender has a stack of applications, not one. Reading every income statement and balance sheet line by line for each applicant doesn't scale. A handful of ratios (profitability, liquidity, leverage) let the lender screen the whole stack quickly, flag the ones that look risky or strong, and only then go read the full statements for the applications that need closer attention.
Answer: Ratios solve a comparability problem (they let you judge businesses of different sizes on equal footing) and a speed problem (they let a lender screen many applications quickly instead of reading every full statement in detail).
Problem 2. A company reports net sales of $512,000 and cost of goods sold of $332,800.
a) Calculate the gross profit margin ratio.
b) State in one sentence what the result means for the owner.
c) The company's fixed operating costs are $7,000 per month. Approximately how much in monthly sales does it need to break even?
Solution
Step 1 — Set up the gross profit margin formula: Gross profit margin measures how much of each sales dollar is left after paying for the product itself, before any other expenses.
$$\text{Gross profit margin} = \frac{\text{Net sales} - \text{COGS}}{\text{Net sales}}$$Step 2 — Plug in the numbers: Net sales are $512,000 and COGS is $332,800, so gross profit is:
$$\$512,000 - \$332,800 = \$179,200$$ $$\text{Gross profit margin} = \frac{\$179,200}{\$512,000} = 0.35 = 35\%$$Step 3 — State what it means for the owner: For every dollar of sales, 35 cents is left over after covering the cost of the product sold — that 35 cents has to cover rent, wages, and every other operating cost before anything counts as profit.
Step 4 — Use the margin to estimate the break-even point: Fixed operating costs are $7,000 a month. Each dollar of sales only contributes 35 cents toward covering those fixed costs (the rest went to COGS), so we divide the fixed cost by the margin:
$$\text{Break-even sales} = \frac{\$7,000}{0.35} = \$20,000$$Answer: a) Gross profit margin is 35%. b) 35 cents of every sales dollar remains after covering the cost of goods sold, to pay for everything else the business needs. c) The business needs approximately $20,000 in monthly sales to break even.
Problem 3. A consulting firm with no inventory asks why its income statement shows no gross margin. Explain what gross margin measures and why this business does not have a meaningful one. Then name the income-statement format that would be required for gross margin to be readable at all.
Solution
Step 1 — Recall what gross margin measures: Gross margin is (Net sales − COGS) / Net sales — it isolates the profit left after paying only for the direct cost of the product sold, before any other operating expense is subtracted.
Step 2 — Explain why a consulting firm doesn't have one: COGS applies to businesses that sell a physical product with a direct, trackable production cost — materials, direct labor to build the item, and so on. A consulting firm sells time and expertise, not a manufactured product. Its main cost, the consultants' pay, is usually reported as a general operating expense rather than broken out as "cost of goods sold." With no COGS line, there's nothing to subtract from sales, so there's no gross margin figure to compute — or, if you tried, it would come out as 100%, which tells you nothing useful.
Step 3 — Name the format that would make it readable: To get a meaningful gross-margin figure, the firm would need a multi-step income statement that separates a "cost of services" line — the direct cost of delivering the consulting work, such as billable staff time — from the rest of operating expenses like admin, marketing, and overhead. Only once cost of services is broken out separately does a gross-margin-style figure become calculable and meaningful.
Answer: Gross margin measures the profit left after covering only the direct cost of what's sold. A consulting firm has no meaningful gross margin because it has no COGS line — its main cost (staff time) is lumped into general operating expenses. Making gross margin readable would require a multi-step income statement with a separate "cost of services" line pulled out from other operating expenses.
Problem 4. Two businesses each report a net margin of 5%. The first has a gross margin of 62%; the second has a gross margin of 9%. For each business, state where the problem or opportunity lies and what the owner should examine first.
Solution
Step 1 — Recall the relationship between gross margin and net margin: Gross margin captures profitability at the product level (sales minus the direct cost of the product). Net margin captures profitability after everything — operating expenses, interest, taxes. The gap between the two tells you how much of each sales dollar is being absorbed by operating costs.
Step 2 — Analyze the first business (62% gross margin, 5% net margin): The gap here is huge — 62% − 5% = 57 percentage points of every sales dollar are being eaten by operating expenses (rent, staff, administration, overhead) before reaching the bottom line. The product itself is priced well and costs little to produce. The problem — and the opportunity — is in overhead. The owner should examine operating expenses first: is the business overstaffed, paying too much rent, or carrying costs that don't scale with sales?
Step 3 — Analyze the second business (9% gross margin, 5% net margin): The gap here is small — only 4 percentage points go to operating expenses, meaning the business is already lean on overhead. The real constraint is at the product level: gross margin of 9% means the cost of goods sold is eating almost all of the sales dollar before operating expenses even enter the picture. The owner should examine pricing and the cost of goods sold first — either the product is priced too low or it costs too much to produce or acquire.
Answer: The first business's problem (and opportunity) is in operating expenses/overhead, since a wide gap between a high gross margin and the net margin means overhead is absorbing most of the profit. The second business's problem is in pricing or cost of goods sold, since a small gap between an already-thin gross margin and net margin means operating costs are lean and the real constraint is the product's own cost structure.
Problem 5. A hardware store's balance sheet shows current assets of $212,000 and current liabilities of $88,000.
a) Calculate working capital.
b) Calculate the current ratio.
c) Explain why the ratio, and not the dollar amount, is what lets you compare this store against a competitor three times its size.
Solution
Step 1 — Calculate working capital: Working capital is current assets minus current liabilities.
$$\text{Working capital} = \$212,000 - \$88,000 = \$124,000$$Step 2 — Calculate the current ratio: The current ratio is current assets divided by current liabilities.
$$\text{Current ratio} = \frac{\$212,000}{\$88,000} \approx 2.41$$Step 3 — Explain why the ratio, not the dollar figure, allows comparison: Working capital is a dollar amount, and dollar amounts scale with the size of the business — a store three times the size would naturally have roughly three times the current assets and liabilities, so its working capital dollar figure would look much bigger without actually being any healthier. The current ratio strips out size by expressing current assets as a multiple of current liabilities. Two stores of very different sizes can both have a current ratio around 2.4, meaning both have about $2.40 of current assets for every $1 of current liabilities due soon — that's a fair, size-independent comparison that the raw working capital number can't give you.
Answer: a) Working capital is $124,000. b) The current ratio is approximately 2.41. c) The ratio removes the effect of company size, so a small store and a competitor three times its size can be compared on equal footing — working capital in dollars can't do that because it naturally grows with the size of the business.
Problem 6. Explain the difference between liquidity and profitability, and give one example of a business that could be strongly profitable and dangerously illiquid at the same time.
Solution
Step 1 — Define the two terms: Liquidity is a business's ability to meet its short-term obligations — pay bills, payroll, and debts coming due soon — using cash or assets that convert to cash quickly. Profitability is whether the business earns more than it spends over a period of time, as shown on the income statement.
Step 2 — Explain why they can move independently: These measure different things, so a business can be strong on one and weak on the other. A company can report strong net income while its cash is tied up somewhere else — in unpaid customer invoices, in inventory sitting on shelves, or in equipment it just bought — leaving it without enough actual cash on hand to pay what's due right now.
Step 3 — Give a concrete example: A fast-growing contracting business can look highly profitable on paper: it's booked several large, well-priced jobs and its income statement shows strong margins. But if it's paying workers and suppliers up front while waiting 60 to 90 days to collect payment from clients, its cash can run dry even as profits climb. It's profitable and dangerously illiquid at the same time.
Answer: Liquidity is the ability to pay short-term bills with available cash; profitability is whether the business earns more than it spends over time. A growing contractor that books profitable jobs but has to pay expenses long before collecting from clients is a business that can be strongly profitable and dangerously illiquid at once.
Problem 7. A business reports total liabilities of $240,000 and total equity of $400,000.
a) Calculate the debt-to-equity ratio.
b) State whether creditors or owners funded more of the business.
c) Explain why a ratio of 4.50 is unremarkable for one company and alarming for another.
Solution
Step 1 — Calculate the debt-to-equity ratio: Debt-to-equity is total liabilities divided by total equity.
$$\text{Debt-to-equity} = \frac{\$240,000}{\$400,000} = 0.60$$Step 2 — Determine who funded more of the business: Total equity ($400,000) is larger than total liabilities ($240,000), so the owners have put more into the business than creditors have lent it. A debt-to-equity ratio below 1.0 always means equity funding exceeds debt funding.
Step 3 — Explain why the same ratio can mean different things: Whether a debt-to-equity ratio is alarming depends on the kind of business and the stability of its assets and cash flow, not on the number alone. Capital-intensive businesses with steady, predictable income — real estate, utilities, banks — routinely carry high debt-to-equity ratios because their assets are stable collateral and their cash flow reliably covers the debt payments. A ratio of 4.50 is unremarkable there. For a small service business with volatile or unpredictable revenue and few hard assets to fall back on, a ratio of 4.50 means creditors have 4.5 times more money at risk than the owner — there's very little cushion if the business hits a rough patch, which is alarming.
Answer: a) Debt-to-equity is 0.60. b) Owners funded more of the business (equity of $400,000 exceeds liabilities of $240,000). c) A ratio of 4.50 is unremarkable for a stable, asset-heavy business with predictable cash flow, but alarming for a volatile business with few hard assets, because it means creditors carry far more risk than the owner does with very little cushion.
Problem 8. An owner puts $50,000 into a business and borrows $150,000 at 7% annual interest. The business earns 12% on its assets.
a) Calculate the profit on assets.
b) Calculate the interest cost.
c) Calculate the return on the owner's investment.
d) Recalculate the owner's return if the business earns 5% on its assets instead, and explain in one sentence what the two answers together show about leverage.
Solution
Step 1 — Find total assets: The owner's $50,000 plus the $150,000 borrowed gives total assets the business is putting to work.
$$\text{Total assets} = \$50,000 + \$150,000 = \$200,000$$Step 2 — Calculate profit on assets: The business earns 12% on its assets.
$$\text{Profit on assets} = 0.12 \times \$200,000 = \$24,000$$Step 3 — Calculate the interest cost: Interest is 7% of the $150,000 borrowed.
$$\text{Interest cost} = 0.07 \times \$150,000 = \$10,500$$Step 4 — Calculate the owner's return: The owner keeps the profit on assets after paying the lender's interest, and that amount is measured against only the owner's own $50,000 investment.
$$\text{Owner's return} = \frac{\$24,000 - \$10,500}{\$50,000} = \frac{\$13,500}{\$50,000} = 0.27 = 27\%$$Step 5 — Recalculate at a 5% return on assets: Now profit on assets is:
$$0.05 \times \$200,000 = \$10,000$$Interest cost is still $10,500 (it doesn't depend on how the assets performed), so:
$$\text{Owner's return} = \frac{\$10,000 - \$10,500}{\$50,000} = \frac{-\$500}{\$50,000} = -0.01 = -1\%$$Answer: a) Profit on assets is $24,000. b) Interest cost is $10,500. c) The owner's return is 27%. d) At 5% return on assets, the owner's return is −1%. Together the two results show that borrowing amplifies outcomes in both directions: when the business earns more on its assets (12%) than the 7% cost of the borrowed money, leverage boosts the owner's return well above the asset return (27% vs. 12%); when the business earns less (5%) than the cost of debt, leverage turns a still-positive asset return into a loss for the owner (−1%).
Problem 9. A company reports annual sales of $2,190,000 and holds $180,000 in receivables. Calculate sales per day and the age of receivables. Then explain what additional information you would need before deciding whether that figure is a problem.
Solution
Step 1 — Calculate sales per day: Divide annual sales by 365 days.
$$\text{Sales per day} = \frac{\$2,190,000}{365} = \$6,000$$Step 2 — Calculate the age of receivables: Divide receivables by sales per day.
$$\text{Age of receivables} = \frac{\$180,000}{\$6,000} = 30 \text{ days}$$Step 3 — Explain what else you'd need to know: Thirty days on its own isn't automatically good or bad — it needs a comparison point. You'd want to know the company's own credit terms (if it bills customers "net 30," then 30 days means customers are paying almost exactly on time; if terms are "net 15," 30 days means customers are running a month late). You'd also want to compare against the company's own age of receivables from prior periods (is it rising or steady?) and, if available, against typical figures for similar businesses in the same industry.
Answer: Sales per day are $6,000, and the age of receivables is 30 days. Whether that's a problem depends on the company's stated payment terms and how this figure compares to its own history and to similar businesses — 30 days is fine against "net 30" terms but a red flag against "net 15" terms.
Problem 10. A business's statements show net income of $85,000 and cash flow from operating activities of $12,000. Name the red flag, give one benign and one concerning explanation, and state the question you would ask first.
Solution
Step 1 — Identify the red flag: Net income of $85,000 alongside cash flow from operating activities of only $12,000 is a red flag because it means the profit reported on the income statement isn't showing up as actual cash from running the business. Earnings and operating cash flow diverging by this much is worth investigating before trusting the net income figure at face value.
Step 2 — Give a benign explanation: The business could be growing quickly and legitimately. Rapid growth often ties up cash in higher accounts receivable (customers owe more because sales are up) and higher inventory (more stock needed to support the growth), both of which reduce operating cash flow even while real, honest profit is being earned. This is a timing issue that tends to resolve as growth slows or collections catch up.
Step 3 — Give a concerning explanation: The gap could point to a problem with the quality of the earnings — revenue being recognized before it's actually collectible (customers not paying, receivables aging without being written off), or accounting choices that inflate reported income without a matching cash inflow. This is a signal to dig into whether the reported profit is real.
Step 4 — State the first question to ask: What's driving the gap? The place to look is the changes in working capital accounts in the cash flow statement — receivables, inventory, and payables — to see specifically where the cash went and whether that matches a growth story or a collections problem.
Answer: The red flag is that strong net income ($85,000) isn't converting into operating cash ($12,000). A benign cause is legitimate, fast growth tying up cash in receivables and inventory; a concerning cause is weak earnings quality, such as customers not actually paying. The first question to ask: what changed in receivables, inventory, and payables to explain the gap?
Problem 11. Explain why a current ratio that fell from 2.10 to 1.55 in one year can be more informative than a current ratio that has sat at 1.20 for three years. Connect your answer to why an owner's own prior periods are the most reliable comparison available.
Solution
Step 1 — Compare what each ratio tells you: A ratio is only useful measured against a benchmark, and the most reliable benchmark for any one business is its own history, because it automatically controls for that business's industry, size, and business model in a way an outside comparison can't.
Step 2 — Read the falling ratio: A current ratio dropping from 2.10 to 1.55 in a single year is a clear signal that something changed in the business this year — maybe inventory built up, receivables slowed, or short-term debt increased. Even though 1.55 might still be an acceptable ratio in isolation, the direction and speed of the drop is the informative part: it tells the owner to go find out what happened before it drops further.
Step 3 — Read the flat ratio: A current ratio sitting at 1.20 for three straight years shows stability, not necessarily danger. It might be a tight ratio by general standards, but if it hasn't moved, it likely reflects a steady-state way this particular business normally operates rather than a developing problem.
Answer: The falling ratio is more informative because it's a trend against the business's own past performance, which is the most reliable comparison available — it flags that something specific changed this year and needs investigating. A ratio that's merely low but unchanged for three years shows a stable (if tight) normal operating state, not a new or worsening problem.
Problem 12. An owner excludes $14,000 of payroll taxes payable from current liabilities on the grounds that "that money belongs to the government, not to us." Current assets are $95,000 and the other current liabilities total $71,000.
a) Calculate the current ratio as the owner computed it.
b) Calculate it correctly.
c) Explain which figure a lender would use and why.
Solution
Step 1 — Calculate the current ratio as the owner computed it: The owner excluded the $14,000 of payroll taxes payable, leaving current liabilities of only $71,000.
$$\text{Owner's current ratio} = \frac{\$95,000}{\$71,000} \approx 1.34$$Step 2 — Calculate the correct current ratio: Payroll taxes payable is still money the business owes and must pay, regardless of who the final recipient is — it belongs in current liabilities. Correct current liabilities are:
$$\$71,000 + \$14,000 = \$85,000$$ $$\text{Correct current ratio} = \frac{\$95,000}{\$85,000} \approx 1.12$$Step 3 — Explain which figure a lender would use: A lender would use the correct figure ($85,000 in current liabilities, ratio of about 1.12). The payroll taxes are collected on behalf of the government, but until they're paid over, they're still a real obligation the business must settle with its own cash, on a deadline, just like any other bill. Whose money it "really" is doesn't change that the business needs cash available to pay it — a lender cares about every claim on the company's short-term cash, not just the ones the owner considers truly theirs.
Answer: a) The owner's current ratio is approximately 1.34. b) The correct current ratio is approximately 1.12. c) A lender would use the correct figure, since payroll taxes payable is a genuine short-term obligation the business must pay in cash regardless of who ultimately receives it.
Key Terms
financial ratio — a figure formed by dividing one statement amount by another, so that businesses of different sizes can be compared on the same terms.
gross profit margin ratio — the portion of each sales dollar left after the cost of the goods sold, available to cover operating expenses and profit.
net profit margin — the portion of each sales dollar left after every expense of doing business.
liquidity — a business's ability to convert assets into cash to meet short-term cash needs.
working capital — current assets minus current liabilities; the dollar cushion available to meet obligations due within a year.
current ratio — current assets divided by current liabilities; how many dollars of short-term resources back each dollar of short-term obligation.
debt-to-equity ratio — total liabilities divided by total equity; how much of the business was funded by borrowing rather than by its owners.
financial leverage — the ability to increase net income by earning more on borrowed funds than the interest those funds cost.
times interest earned (TIE) — a measure of how easily current operations cover the interest obligations already owed.
free cash flow — operating cash flow less planned capital expenditures and planned owner distributions.
burn rate — the cash a business uses in excess of the cash its operations create, used to estimate how long it can operate before becoming insolvent.
age of receivables — the average number of days a business waits to collect, found by dividing receivables by sales per day.
red flag — a statement signal that warrants investigation rather than a conclusion, because it has both a benign and a concerning explanation.