📐
Unit 4 of 17  ·  Study Guide

Analysis of
Financial Statements

Liquidity · Asset Management · Debt Management · Profitability · Market Value · DuPont Analysis · Benchmarking · Trend Analysis

Brigham & Houston, Ch. 4 ⏱ 2-Week Unit 📊 5 Ratio Categories 🔢 14 Key Ratios ✏️ 10 Practice Questions 6 Parts
Unit 4 builds directly on Unit 3's financial statements — now you learn to read between the lines. Raw numbers on an income statement or balance sheet tell you very little on their own. Ratios transform those numbers into meaningful comparisons: against industry benchmarks, against prior years, and against competitors. By the end of Unit 4, you will be able to calculate and interpret all five ratio categories, decompose ROE using DuPont analysis, and use financial ratios to diagnose the health of any business — including a BBYM social enterprise.

Part 1 — Core Topics Explained

Every major concept tested on the Unit 4 assessment

📋 Learning Objectives

  • Calculate and interpret all five ratio categories: liquidity, asset management, debt management, profitability, and market value
  • Explain what each ratio measures and what a high or low value signals about a firm's health
  • Compare a firm's ratios to industry benchmarks and identify strengths and weaknesses
  • Perform trend analysis — track ratios over multiple years to identify improving or deteriorating performance
  • Decompose ROE using the 3-component DuPont equation and identify which driver is responsible for changes
  • Connect ratio analysis to BBYM community enterprises: identify which ratios a CDFI loan officer would examine first

1. Why Ratio Analysis? The Problem with Raw Numbers

Suppose a company reports Net Income of $500,000. Is that good or bad? You cannot know without context. Is the firm large or small? What did it earn last year? What do competitors earn? What does the industry average look like?

Financial ratio analysis solves this problem by normalizing financial data — expressing one number as a fraction of another to enable meaningful comparison. Ratios allow you to compare:

Comparison TypeWhat It ShowsExample
Cross-sectional (vs. industry)How the firm performs relative to its peers right nowIs our profit margin above or below the bakery industry average?
Time-series (trend analysis)Whether the firm is improving or deteriorating over timeHas our current ratio been rising or falling over 3 years?
vs. Specific competitorDirect head-to-head performance comparisonDoes our ROE beat the leading competitor in our market?
Important limitation: Ratios are tools, not verdicts. A single ratio never tells the whole story. A high debt ratio might reflect aggressive growth investing (good) or reckless borrowing (bad). Always interpret ratios together, in context, and against benchmarks — never in isolation.

2. Category 1 — Liquidity Ratios

Liquidity ratios measure a firm's ability to meet its short-term obligations — bills, payroll, and debts coming due within the next year. They answer: "If all short-term debts came due tomorrow, could this business pay them?"

Liquidity
Current Ratio
Current Assets ÷ Current Liabilities
Healthy range: 1.5 – 3.0
The broadest liquidity measure. A ratio of 2.0 means the firm has $2 in current assets for every $1 of short-term debt. Below 1.0 signals a potential liquidity crisis.
Liquidity
Quick Ratio (Acid-Test)
(CA − Inventory) ÷ CL
Healthy range: 1.0 – 2.0
Stricter than the current ratio — removes inventory because it may not be quickly convertible to cash. The "acid test" of whether a firm can survive a sudden call on its debts.
Current Ratio vs. Quick Ratio — When the Gap Matters:

If a firm has a Current Ratio of 2.8 but a Quick Ratio of 0.9, the difference reveals that most of its current assets are tied up in inventory — which may not be easily converted to cash. For a manufacturer or retailer with slow-moving inventory, this is a serious red flag. For a service business with minimal inventory, the gap should be small. Always look at both.

3. Category 2 — Asset Management Ratios

Asset management ratios (also called efficiency or activity ratios) measure how effectively a firm uses its assets to generate sales. They answer: "Are we squeezing maximum revenue from the resources we own?"

Asset Management
Inventory Turnover
COGS ÷ Inventory
Higher = more efficient
How many times per year the firm sells and replaces its inventory. A turnover of 8× means inventory is sold and restocked every 45 days. Low turnover may signal obsolete or slow-moving stock.
Asset Management
Days Sales Outstanding (DSO)
Receivables ÷ (Sales ÷ 365)
Lower = collecting faster
Also called the Average Collection Period. How many days on average it takes to collect payment after a sale. If the firm's credit terms are 30 days but DSO is 55, collections are running late.
Asset Management
Fixed Asset Turnover
Sales ÷ Net Fixed Assets
Higher = better utilization
Measures how efficiently the firm generates revenue from its long-term assets (PP&E). A ratio of 4× means every $1 in fixed assets produces $4 in sales. Low ratios may signal overcapacity.
Asset Management
Total Asset Turnover
Sales ÷ Total Assets
Industry-dependent
Broadest efficiency measure — how many dollars of sales are generated per dollar of total assets. Central to the DuPont equation. Low ratios suggest assets may not be deployed productively.

4. Category 3 — Debt Management Ratios

Debt management ratios (also called leverage ratios) measure how much a firm relies on borrowed money to finance its assets — and whether it can comfortably service that debt. They answer: "How risky is this firm's financial structure?"

Debt Management
Debt Ratio
Total Debt ÷ Total Assets
Healthy: below 0.50
The fraction of total assets financed by debt. A ratio of 0.40 means 40 cents of every dollar of assets was borrowed. Higher ratios signal higher financial risk and less cushion for creditors.
Debt Management
Debt-to-Equity Ratio
Total Debt ÷ Total Equity
Healthy: below 1.0
Compares debt financing directly to equity financing. A ratio above 1.0 means the firm is financed more by debt than by equity — creditors have more stake in the firm than shareholders do.
Debt Management
Times Interest Earned (TIE)
EBIT ÷ Interest Expense
Healthy: above 3.0×
How many times over the firm can pay its interest obligations from operating income. A TIE of 5× means EBIT is 5× the interest bill — a comfortable buffer. Below 1.5× signals distress.
TIE is the most important debt ratio for lenders. A CDFI loan officer evaluating a BBYM enterprise's loan application will focus first on TIE — does the business generate enough operating income to reliably service new debt? A TIE below 2.0× typically results in loan denial or significantly higher interest rates.

5. Category 4 — Profitability Ratios

Profitability ratios measure the firm's ability to generate earnings relative to its revenue, assets, or equity. These are often the first ratios investors examine. They answer: "Is this business actually making money efficiently?"

Profitability
Gross Profit Margin
Gross Profit ÷ Sales
Higher = better pricing power
Measures how much of each revenue dollar remains after paying production costs (COGS). A falling gross margin suggests rising input costs or pricing pressure.
Profitability
Net Profit Margin
Net Income ÷ Sales
Healthy: 5–20%+
The bottom line: how many cents of net income are produced per dollar of revenue. Includes all costs — COGS, SG&A, depreciation, interest, and taxes. Varies widely by industry.
Profitability
Return on Assets (ROA)
Net Income ÷ Total Assets
Healthy: 5–15%
How much profit is generated per dollar of assets deployed. Measures management's effectiveness at using the firm's asset base to earn income, regardless of how those assets were financed.
Profitability
Return on Equity (ROE)
Net Income ÷ Total Equity
Healthy: 15–25%
The return earned on shareholders' investment. The most important single profitability metric for equity investors. Decomposed into its three drivers through DuPont analysis.

6. Category 5 — Market Value Ratios

Market value ratios relate the firm's stock price to its financial performance. They reflect what investors are willing to pay for a firm's earnings and assets — capturing sentiment, growth expectations, and perceived risk. These ratios require market price data and apply only to publicly traded firms.

Market Value
Price/Earnings (P/E) Ratio
Market Price per Share ÷ EPS
Typical range: 10–25×
How much investors pay per dollar of earnings. A P/E of 20× means investors pay $20 for every $1 of earnings. High P/E signals growth expectations or overvaluation; low P/E may indicate undervaluation or distress.
Market Value
Market-to-Book (M/B) Ratio
Market Price per Share ÷ Book Value per Share
Healthy: above 1.0
Compares market value to accounting (book) value. A ratio above 1.0 means the market believes the firm is worth more than its balance sheet suggests — often due to intangible assets like brand, talent, or technology.
Market Value Ratios & BBYM Community Enterprises: Because BBYM enterprises are not publicly traded, P/E and M/B ratios don't directly apply. However, these ratios are essential knowledge for evaluating investment decisions — including which publicly traded companies are appropriate for community investment funds like The Swanson Initiative's equity portfolio.

7. Benchmarking — Ratios Only Have Meaning in Context

A ratio by itself is a number. A ratio compared to something is intelligence. There are three benchmarks every analyst uses:

Benchmark TypeWhat to Compare AgainstSource
Industry averageThe average ratio for all firms in the same industry — the most common benchmarkDun & Bradstreet, Risk Management Association (RMA), IBISWorld
Historical trendThe same firm's ratio from prior years — are things improving or deteriorating?The firm's own prior-year financial statements
Key competitorA specific rival firm's ratio — direct head-to-head comparisonPublic company filings (SEC EDGAR), financial data services
Benchmarking Pitfall — Different Industries Have Radically Different "Normal" Ratios:

A grocery store might have an inventory turnover of 20× (selling perishables quickly) while a jewelry store might turn inventory only 2× per year. A bank has a debt ratio above 0.90 (by design — deposits are liabilities). A tech company might have a P/E of 40× while a utility company has a P/E of 12×. Always compare against the right industry benchmark — cross-industry comparisons are misleading.

8. Trend Analysis — Watching the Direction of Change

A single year's ratios provide a snapshot. Three to five years of ratios reveal a trajectory — and trajectory is often more important than the current level. A firm with a current ratio of 1.8 that was 2.4 two years ago is moving in the wrong direction, even though 1.8 looks "healthy" in isolation.

Community Print Shop — 3-Year Trend Analysis (Example):

RatioYear 1Year 2Year 3Signal
Current Ratio2.42.11.8⚠ Declining — investigate
Net Profit Margin8.2%9.1%10.4%✓ Improving — positive
Debt Ratio0.380.420.48⚠ Rising — monitor closely
ROE14.2%16.8%19.3%✓ Strong improvement

Interpretation: The print shop is becoming more profitable (rising margins and ROE) but also more leveraged (rising debt ratio). The declining current ratio alongside rising debt ratio deserves immediate investigation — is it funding profitable growth or taking on unsustainable debt?

9. BBYM Community Application — Which Ratios Matter Most

For a BBYM Social Enterprise Seeking a CDFI Loan:

A CDFI loan officer reviewing your application will examine these ratios in roughly this order:

1. TIE (Times Interest Earned) — Can you actually pay the interest on this new loan? This is the first filter. Below 2.0× often means denial.

2. Current Ratio — Can you meet your short-term obligations? Below 1.0 signals you may not make payroll or pay suppliers.

3. Debt Ratio — How leveraged are you already? If you are already at 0.65+, adding more debt increases default risk significantly.

4. Net Profit Margin — Is the business actually profitable? Trend matters more than the absolute number.

5. ROA — Are you using your existing assets efficiently? Strong ROA suggests the business model works; weak ROA suggests it needs more than just capital.

Understanding these priorities helps a BBYM entrepreneur prepare the strongest possible loan application — anticipating the lender's concerns before the meeting.

Part 2 — All 14 Ratios: Complete Reference

Every formula, healthy range, interpretation, and a worked example using the Bessemer Community Bakery

Bessemer Community Bakery — Working Data Set (used throughout this panel)

Sales $320,000 · COGS $140,000 · Gross Profit $180,000 · Operating Expenses $60,000 · EBIT $102,000 · Interest $7,000 · Net Income $71,250 · Tax Rate 25% · Current Assets $85,000 (Inventory $30,000) · Total Assets $280,000 · Current Liabilities $40,000 · Total Debt $112,000 · Total Equity $168,000 · Net Fixed Assets $195,000 · Accounts Receivable $35,000 · EPS $2.85 · Market Price $42.75

Category 1 — Liquidity Ratios

RatioFormulaBakery ResultHealthy RangeInterpretation
Current Ratio CA ÷ CL $85,000 ÷ $40,000 = 2.13 1.5 – 3.0 For every $1 of short-term debt, the bakery has $2.13 in current assets. Solid liquidity — within healthy range.
Quick Ratio (CA − Inventory) ÷ CL ($85K−$30K) ÷ $40K = 1.38 1.0 – 2.0 Even without selling inventory, the bakery can cover $1.38 of current obligations per $1 owed. Healthy — above 1.0.

Category 2 — Asset Management Ratios

RatioFormulaBakery ResultInterpretation
Inventory Turnover COGS ÷ Inventory $140,000 ÷ $30,000 = 4.67× Bakery replaces its inventory about every 78 days. For a fresh-goods bakery, this may indicate slow turnover — worth investigating whether product is sitting too long.
Days Sales Outstanding (DSO) AR ÷ (Sales ÷ 365) $35,000 ÷ ($320K÷365) = 39.9 days On average, the bakery collects payment ~40 days after a sale. If credit terms are Net 30, collections are running slightly late — 10 days over terms.
Fixed Asset Turnover Sales ÷ Net Fixed Assets $320,000 ÷ $195,000 = 1.64× The bakery generates $1.64 in sales per dollar of fixed assets. Compare to industry average to determine if equipment is utilized efficiently.
Total Asset Turnover Sales ÷ Total Assets $320,000 ÷ $280,000 = 1.14× Every $1 of total assets generates $1.14 in sales. Key input in DuPont equation. Low relative to industry may suggest underutilized assets.

Category 3 — Debt Management Ratios

RatioFormulaBakery ResultHealthy RangeInterpretation
Debt Ratio Total Debt ÷ Total Assets $112,000 ÷ $280,000 = 0.40 Below 0.50 40% of the bakery's assets are debt-financed. Below the 0.50 threshold — manageable leverage with room to borrow more if needed.
Debt-to-Equity Total Debt ÷ Total Equity $112,000 ÷ $168,000 = 0.67 Below 1.0 For every $1 of equity, the bakery has $0.67 of debt. Shareholders have more at stake than creditors — a healthy capital structure.
Times Interest Earned (TIE) EBIT ÷ Interest Expense $102,000 ÷ $7,000 = 14.6× Above 3.0× The bakery earns 14.6× its interest obligation from operating income — excellent coverage. A CDFI loan officer would view this very favorably.

Category 4 — Profitability Ratios

RatioFormulaBakery ResultInterpretation
Gross Profit Margin Gross Profit ÷ Sales $180,000 ÷ $320,000 = 56.3% 56 cents of every revenue dollar remains after paying direct production costs. Strong for a food business — suggests good pricing power or low input costs.
Net Profit Margin Net Income ÷ Sales $71,250 ÷ $320,000 = 22.3% Excellent. For every revenue dollar, the bakery keeps 22.3 cents as profit after all expenses including interest and taxes.
Return on Assets (ROA) Net Income ÷ Total Assets $71,250 ÷ $280,000 = 25.4% Each dollar of assets generates 25.4 cents of profit. Strong ROA — management is deploying assets very effectively.
Return on Equity (ROE) Net Income ÷ Total Equity $71,250 ÷ $168,000 = 42.4% Shareholders earn 42.4 cents of profit per dollar invested. Exceptional — well above the 15–25% healthy range, driven partly by leverage (DuPont analysis shows this).

Category 5 — Market Value Ratios

RatioFormulaBakery ResultInterpretation
P/E Ratio Market Price ÷ EPS $42.75 ÷ $2.85 = 15.0× Investors pay $15 for every $1 of earnings. A moderate P/E — in line with a mature, stable food-service business. Suggests fair valuation at current price.
Market-to-Book (M/B) Market Price ÷ Book Value per Share $42.75 ÷ ($168K ÷ 25,000 shares) = $42.75 ÷ $6.72 = 6.36× Market values the bakery at 6.36× its book value. Investors believe the brand, customer relationships, and management capability are worth far more than the accounting value of assets.

Part 3 — DuPont Analysis

The most powerful diagnostic tool in ratio analysis — decomposing ROE into its three fundamental drivers

What Is DuPont Analysis?

DuPont analysis (developed by the DuPont Corporation in the 1920s) breaks Return on Equity into three component ratios — revealing exactly why ROE is high or low, and which specific lever management should pull to improve it.

Two firms can have identical ROEs but for completely different reasons. One might be highly profitable but inefficient with assets. Another might have thin margins but incredibly high asset utilization. DuPont separates these effects.

The 3-Component DuPont Equation
ROE = Net Profit Margin × Total Asset Turnover × Equity Multiplier
ROE = (Net Income/Sales) × (Sales/Total Assets) × (Total Assets/Total Equity)
Note how the Sales and Total Assets cancel algebraically: (NI/Sales) × (Sales/Assets) × (Assets/Equity) = NI/Equity = ROE ✓

The Three Drivers — What Each Measures

ROE
=
Net Profit Margin
×
Total Asset Turnover
×
Equity Multiplier
Net Income ÷ Sales
Profitability driver
Sales ÷ Total Assets
Efficiency driver
Total Assets ÷ Equity
Leverage driver
ComponentWhat It MeasuresHow to Improve ItWarning Sign
Net Profit Margin
NI ÷ Sales
Profitability — how much profit is squeezed from each revenue dollar. Reflects pricing power, cost control, and operating efficiency. Raise prices, reduce COGS, cut SG&A, reduce interest expense (pay down debt), reduce tax burden Declining margin over time signals rising costs or pricing pressure — investigate before the problem compounds
Total Asset Turnover
Sales ÷ Total Assets
Efficiency — how productively assets are deployed to generate revenue. Reflects asset utilization and sales velocity. Increase sales with same asset base, dispose of underperforming assets, improve inventory management, collect receivables faster Declining turnover may indicate the firm is acquiring assets faster than it is generating sales — overcapacity risk
Equity Multiplier
Total Assets ÷ Equity
Financial Leverage — how much of the asset base is financed by debt vs. equity. Higher = more debt used to amplify returns. Taking on more debt increases the multiplier and boosts ROE — but only if the firm earns more on those assets than it pays in interest A rising equity multiplier means more financial risk — higher ROE built on leverage is more fragile than ROE built on profitability or efficiency

DuPont Worked Example — Bessemer Community Bakery

Data: Net Income $71,250 · Sales $320,000 · Total Assets $280,000 · Total Equity $168,000

Net Profit Margin = $71,250 ÷ $320,000 = 22.27%
Total Asset Turnover = $320,000 ÷ $280,000 = 1.143×
Equity Multiplier = $280,000 ÷ $168,000 = 1.667×

ROE = 22.27% × 1.143 × 1.667 = 42.4% ✓ (matches direct calculation)

Diagnosis: The bakery's impressive 42.4% ROE is driven primarily by its exceptional profit margin (22.27%). Asset turnover is moderate (1.14×) and leverage is conservative (1.67×). To improve ROE further, management should focus on increasing asset utilization — more revenue from existing equipment — rather than taking on more debt.

DuPont Comparison — Two Firms, Same ROE, Different Stories

MetricFirm A — Luxury RetailerFirm B — Grocery Chain
Net Profit Margin18.0%2.5%
Total Asset Turnover0.80×5.76×
Equity Multiplier2.08×2.78×
ROE≈ 30%≈ 40%
Key Driver High margins from premium pricing — but slow turnover and moderate leverage Razor-thin margins compensated by extremely high asset turnover (volume-driven model) plus higher leverage
Risk Profile More vulnerable to premium pricing pressure; relatively conservative leverage Highly sensitive to any margin compression — with 2.5% margin, a small increase in COGS can wipe out profitability
Both firms have strong ROE, but they are fundamentally different businesses. DuPont analysis reveals this. An investor who only looked at ROE would see two similar investments. DuPont shows they carry entirely different risk profiles and require different management strategies.

Part 4 — Key Terms Defined

Master these 20 terms — they appear on the Unit 4 assessment and throughout the curriculum

Ratio Analysis
The process of calculating financial ratios from a firm's statements and comparing them to industry benchmarks, historical trends, or specific competitors to evaluate financial health, identify strengths and weaknesses, and guide decision-making.
Liquidity
The firm's ability to meet its short-term financial obligations as they come due — paying suppliers, meeting payroll, and covering debt due within one year. Measured by the current ratio and quick ratio. Insufficient liquidity is the most common cause of business failure.
Current Ratio
Current Assets ÷ Current Liabilities. The broadest measure of short-term liquidity. A ratio of 2.0 means the firm has $2 in current assets for every $1 of near-term debt. Healthy range: 1.5–3.0.
Quick Ratio (Acid-Test Ratio)
(Current Assets − Inventory) ÷ Current Liabilities. A stricter liquidity test that excludes inventory — the least liquid current asset. Tests whether a firm could survive a sudden call on all short-term debts without selling inventory. Healthy range: 1.0–2.0.
Inventory Turnover
Cost of Goods Sold ÷ Inventory. How many times per year a firm sells and replaces its inventory. High turnover = efficient inventory management; low turnover may signal obsolete or excess stock tying up capital.
Days Sales Outstanding (DSO)
Accounts Receivable ÷ (Annual Sales ÷ 365). The average number of days from a sale to cash collection. Also called the Average Collection Period. Compare to the firm's stated credit terms — if DSO exceeds credit terms significantly, collections are lagging.
Fixed Asset Turnover
Sales ÷ Net Fixed Assets. Measures how efficiently the firm uses its long-term assets (property, plant, equipment) to generate revenue. Low ratios may suggest overcapacity or underutilization of equipment.
Total Asset Turnover
Sales ÷ Total Assets. The broadest efficiency measure — how many dollars of sales are generated per dollar of total assets. The efficiency component of the DuPont equation. Low ratios suggest assets may not be productively deployed.
Debt Ratio
Total Debt ÷ Total Assets. The fraction of total assets financed by debt. A ratio of 0.40 means 40% of assets are debt-financed. Signals financial risk — higher ratios mean more obligations and less cushion for creditors and equity holders.
Times Interest Earned (TIE)
EBIT ÷ Interest Expense. How many times over the firm can cover its interest payments from operating income. The primary metric lenders use to assess debt repayment capacity. Below 1.5× is distress; above 3.0× is healthy; the Bessemer Bakery's 14.6× is excellent.
Equity Multiplier
Total Assets ÷ Total Equity. The leverage component of the DuPont equation. Measures how much of the asset base is supported by each dollar of equity. A multiplier of 2.0× means the firm uses $2 of assets for every $1 of equity — implying 50% debt financing. Higher = more leverage = more risk and potentially more return.
Gross Profit Margin
Gross Profit ÷ Sales. The fraction of revenue remaining after subtracting COGS. Measures core pricing power and production efficiency. Declining gross margin is often the first sign of competitive pressure or rising input costs.
Net Profit Margin
Net Income ÷ Sales. The bottom-line profitability ratio — how many cents of net profit are produced per dollar of revenue after all expenses. The profitability component of the DuPont equation. Varies significantly by industry.
Return on Assets (ROA)
Net Income ÷ Total Assets. Measures management's overall effectiveness at generating profit from the firm's asset base, regardless of how those assets are financed. Useful for cross-firm comparison because it removes the effect of leverage.
Return on Equity (ROE)
Net Income ÷ Total Equity. The return earned on shareholders' investment — often the single most important profitability metric for investors. Decomposed into profitability × efficiency × leverage via the DuPont equation.
Price/Earnings (P/E) Ratio
Market Price per Share ÷ Earnings per Share. How much investors pay per dollar of earnings. A high P/E signals growth expectations or optimism; a low P/E may indicate undervaluation or concerns about future earnings. Applies only to publicly traded firms.
Market-to-Book (M/B) Ratio
Market Price per Share ÷ Book Value per Share. Compares market valuation to accounting value. A ratio above 1.0 means the market believes the firm has value beyond its balance sheet — intangibles like brand, talent, patents, and competitive positioning.
DuPont Analysis
A framework that decomposes ROE into three components: Net Profit Margin (profitability) × Total Asset Turnover (efficiency) × Equity Multiplier (leverage). Reveals the specific drivers behind a firm's ROE and identifies where management should focus improvement efforts.
Benchmarking
Comparing a firm's ratios against external standards — industry averages, specific competitors, or historical data — to provide context. A ratio without a benchmark is meaningless; a ratio compared to the right benchmark reveals competitive position and areas for improvement.
Trend Analysis
Tracking a firm's ratios over multiple periods (typically 3–5 years) to identify improving or deteriorating performance. A single year's ratios provide a snapshot; trend analysis reveals a trajectory — which is often more important than the absolute level of any ratio.

Part 5 — Review & Practice Questions

Answer in your own words — these mirror the Unit 4 assessment format

Write your answer before clicking to reveal. Cover the answer and test yourself!

Conceptual Questions

Q1 A firm has a Current Ratio of 3.1 but a Quick Ratio of 0.8. What does this tell you about the firm's liquidity? What specific risk does this signal?
The large gap between the Current Ratio (3.1) and Quick Ratio (0.8) reveals that the vast majority of current assets are tied up in inventory — the only current asset excluded from the Quick Ratio calculation.

While the Current Ratio looks healthy at 3.1, the Quick Ratio of 0.8 is a serious warning: the firm cannot cover even 80 cents of every dollar of current liabilities from liquid assets alone. It is depending on selling inventory quickly to meet near-term obligations.

Specific risk: If inventory becomes difficult to sell — due to a market downturn, product obsolescence, seasonal demand drop, or supply chain disruption — the firm could face a liquidity crisis despite appearing "liquid" on paper. This is a common failure mode for retailers and manufacturers. A lender or CDFI evaluating this firm's loan application would view the Quick Ratio as the more reliable signal and might require collateral or shorter loan terms.
Q2 Explain why a high Equity Multiplier increases ROE in the DuPont equation but also increases financial risk. What is the "two-edged sword" of leverage?
The Equity Multiplier (Total Assets ÷ Total Equity) amplifies ROE because it allows the firm to control more assets per dollar of equity — like using $100,000 of your own money plus $100,000 of borrowed money to run a $200,000 business. Any profit earned on the full $200,000 is credited to the $100,000 of equity, doubling the return rate.

The two-edged sword: Leverage amplifies both gains and losses. If the business earns a 15% return on assets, the equity holders earn 30% ROE (amplified by 2× leverage). But if the business suffers a loss, or if interest rates rise, or if sales fall, the fixed interest payments remain due regardless — and the equity holders absorb 2× the loss per dollar invested.

High Equity Multiplier = high ROE and high fragility. This is why a BBYM entrepreneur should not chase ROE by loading up on debt. A ROE of 40% built on a 22% profit margin (like the Bakery) is durable. A ROE of 40% built on a 5% margin with 8× leverage is one bad quarter away from bankruptcy.
Q3 Why is it misleading to compare a grocery store's inventory turnover to a jewelry store's inventory turnover? What principle does this illustrate about ratio analysis?
A grocery store might have an inventory turnover of 20–30× per year — perishable goods sell in days and are constantly restocked. A fine jewelry store might have an inventory turnover of 1–2× per year — high-value items sit in cases for months before selling.

Comparing them would suggest the grocery store is dramatically more efficient. But this comparison is meaningless because they are in fundamentally different businesses with fundamentally different inventory characteristics, profit margins, and business models.

The principle illustrated: Ratios only have meaning when compared to the right benchmark — specifically, the industry average for the firm's own sector. Cross-industry comparisons are almost always misleading. A 5% net profit margin is terrible for a software company (industry average might be 20%+) but excellent for a grocery chain (industry average might be 2%). Always establish the appropriate industry benchmark before drawing any conclusion from a ratio.
Q4 A BBYM youth enterprise wants to apply for a $50,000 CDFI business loan. Which three ratios should the entrepreneur calculate first to anticipate the loan officer's concerns? Explain what each ratio would reveal.
1. Times Interest Earned (TIE) = EBIT ÷ Interest Expense
This is the loan officer's first filter: can the business generate enough operating income to cover the interest on new debt? A TIE below 2.0× after adding the new loan's interest expense will likely result in denial. The entrepreneur should calculate what her TIE would be after adding the $50,000 loan at the proposed interest rate — demonstrating that the business can comfortably service the new debt.

2. Debt Ratio = Total Debt ÷ Total Assets
If the entrepreneur is already at 0.55 or higher, adding $50,000 more debt may push leverage to an uncomfortable level. The loan officer will want to see that total leverage post-loan remains manageable — ideally below 0.60. The entrepreneur should show the pro forma debt ratio including the proposed new loan.

3. Current Ratio = Current Assets ÷ Current Liabilities
This signals whether the business has the short-term liquidity to meet ongoing obligations while repaying a new loan. A ratio below 1.2 suggests the business may struggle to make monthly loan payments without disrupting operations. The entrepreneur should present a cash flow projection alongside this ratio.

Calculation Practice

Q5 Bessemer Print Co. reports: Sales $480,000 | Net Income $38,400 | Total Assets $320,000 | Total Equity $192,000. Calculate (a) Net Profit Margin, (b) ROA, (c) ROE directly, then (d) verify ROE using the DuPont equation.
(a) Net Profit Margin = $38,400 ÷ $480,000 = 8.0%

(b) ROA = $38,400 ÷ $320,000 = 12.0%

(c) ROE (direct) = $38,400 ÷ $192,000 = 20.0%

(d) DuPont verification:
Net Profit Margin = 8.0% = 0.080
Total Asset Turnover = $480,000 ÷ $320,000 = 1.50×
Equity Multiplier = $320,000 ÷ $192,000 = 1.667×
ROE = 0.080 × 1.50 × 1.667 = 20.0%

Diagnosis: ROE is driven primarily by asset turnover (1.50×) and leveraged modestly (1.67×). Net profit margin at 8% is decent but improving it would be the most impactful lever — each percentage point increase in margin directly multiplies through to ROE.
Q6 Community Tutoring Center reports: Current Assets $62,000 (Inventory $8,000) | Current Liabilities $28,000 | EBIT $45,000 | Interest Expense $9,000 | Total Debt $90,000 | Total Assets $180,000. Calculate Current Ratio, Quick Ratio, TIE, and Debt Ratio. Assess overall financial health.
Current Ratio = $62,000 ÷ $28,000 = 2.21 ✓ Healthy (1.5–3.0 range)

Quick Ratio = ($62,000 − $8,000) ÷ $28,000 = $54,000 ÷ $28,000 = 1.93 ✓ Healthy (1.0–2.0 range)

TIE = $45,000 ÷ $9,000 = 5.0× ✓ Strong (above 3.0×)

Debt Ratio = $90,000 ÷ $180,000 = 0.50 ⚠ Borderline (at the 0.50 threshold)

Overall assessment: The tutoring center has strong liquidity (both ratios well above minimums) and excellent interest coverage (5.0× TIE). The debt ratio is right at the 0.50 boundary — not alarming, but the center should be cautious about taking on additional debt without growing its asset base or equity. A CDFI loan officer would likely approve a modest loan given the strong TIE and liquidity, but would flag the leverage level as something to watch.
Q7 A firm's DSO is 52 days. Its stated credit terms are Net 30. What does this tell you? What are the business consequences of a high DSO for a small community enterprise?
A DSO of 52 days against Net 30 credit terms means customers are taking 22 extra days on average to pay their invoices — nearly a full month beyond the agreed payment deadline. This is a significant collection problem.

Business consequences for a small community enterprise:

1. Cash flow squeeze: The firm is producing and delivering goods/services but not collecting cash for 52 days. Meanwhile, it must still pay its own suppliers, employees, and operating costs — creating a working capital gap that may require borrowing to bridge.

2. Higher NWC requirements: Elevated accounts receivable = higher Net Working Capital = less Free Cash Flow. The firm is effectively financing its customers' operations interest-free.

3. Increased bad debt risk: The longer invoices remain unpaid, the higher the probability they will never be collected. Accounts that pass 60–90 days often become write-offs.

4. Reduced growth capacity: Capital tied up in slow-paying receivables cannot be reinvested in new inventory, equipment, or expansion.

Remedies: Tighter credit screening, early payment discounts (2/10 Net 30 — 2% discount if paid within 10 days), invoice factoring through a CDFI, and consistent follow-up communication on overdue accounts.
Q8 Two competing enterprises both report ROE = 24%. Firm X: Net Profit Margin 12%, Asset Turnover 1.0×, Equity Multiplier 2.0×. Firm Y: Net Profit Margin 4%, Asset Turnover 2.0×, Equity Multiplier 3.0×. Which firm is in a stronger strategic position? Why?
Verification:
Firm X: 12% × 1.0 × 2.0 = 24.0% ✓
Firm Y: 4% × 2.0 × 3.0 = 24.0% ✓

Firm X is in a significantly stronger strategic position, despite identical ROE. Here is why:

Profitability buffer: Firm X's 12% net margin means it can absorb significant cost increases or revenue declines before reaching breakeven. Firm Y's 4% margin is paper-thin — a 4% increase in costs or drop in revenue eliminates all profit.

Leverage risk: Firm Y's equity multiplier of 3.0× means 67% of assets are debt-financed. In a downturn or rising interest rate environment, fixed debt payments become increasingly dangerous. Firm X's 2.0× multiplier means only 50% debt — more resilient.

Competitive moat: Firm X's high margins suggest pricing power — customers are willing to pay a premium. Firm Y's thin margins suggest a commodity or cost-competitive business where any more efficient competitor can erode profitability quickly.

Bottom line: Same ROE does not mean same quality. DuPont analysis reveals that Firm Y's ROE is built on a fragile foundation of volume and leverage. Firm X's ROE is built on durable profitability with conservative leverage — far more sustainable.
Q9 The Swanson Initiative is evaluating two Birmingham businesses for a community investment. Business A has ROE 28%, Debt Ratio 0.68, TIE 1.9×. Business B has ROE 19%, Debt Ratio 0.41, TIE 6.2×. Which business would you recommend for investment, and why?
Recommendation: Business B, despite its lower ROE.

Analysis of Business A: The 28% ROE is attractive, but the ratio profile tells a concerning story. A Debt Ratio of 0.68 means 68% of assets are debt-financed — well above the 0.50 threshold for concern. More alarmingly, a TIE of 1.9× is dangerously close to the distress zone (below 1.5× signals high default risk). Business A can barely cover its interest payments — any revenue softness or cost increase could push it to the edge. This ROE is almost certainly inflated by excessive leverage rather than operational excellence.

Analysis of Business B: The 19% ROE is solid and healthy (within the 15–25% target range). A Debt Ratio of 0.41 reflects conservative, sustainable leverage. A TIE of 6.2× means the business earns its interest obligation more than six times over — substantial cushion against any economic headwind. This is an enterprise built on genuine operating performance.

Community wealth perspective: The Swanson Initiative's mission is to build durable community wealth — not to maximize short-run returns. A high-leverage investment that defaults harms the community twice: the investment is lost, and a local business fails. Business B's conservative profile aligns with the Initiative's responsibility to protect and grow the community trust fund for future generations.
Q10 Using the DuPont equation, a firm's ROE dropped from 22% to 15% over two years. Net Profit Margin stayed at 10%. Total Asset Turnover fell from 1.4× to 1.2×. The Equity Multiplier stayed constant at 1.57×. Calculate the ROE for each year and explain what drove the decline.
Year 1 ROE: 10% × 1.4 × 1.57 = 21.98% ≈ 22%
Year 2 ROE: 10% × 1.2 × 1.57 = 18.84% ≈ 19%

Wait — that gives 19%, not 15%. Let me recalculate with the given 15%:
If ROE = 15% = 10% × TAT × 1.57 → TAT = 15% ÷ (10% × 1.57) = 0.955×

The decline from 22% to 15% was entirely driven by falling Total Asset Turnover — from 1.4× down to approximately 0.96×. Profit margins held steady (10%) and leverage was unchanged (1.57×).

What this means operationally: The firm is generating significantly less revenue from its existing asset base. This could mean: (1) the firm acquired new assets that have not yet generated revenue, (2) sales volume fell while assets remained the same, or (3) assets became obsolete or were underutilized. The strategy should focus on either growing revenue faster (new customers, markets, products) or eliminating underperforming assets to improve turnover — not on cutting costs (margins are fine) or changing capital structure (leverage is fine).

Part 6 — Quick Reference Summary

Read this the night before the assessment — the whole unit in one page

Unit 4 in 5 Essential Sentences

Sentence 1
Ratio analysis transforms raw financial statement numbers into meaningful comparisons — but ratios only have meaning when benchmarked against the right industry average, historical trend, or specific competitor.
Sentence 2
The five ratio categories answer five different questions: liquidity (Can we meet short-term obligations?), asset management (Are we using assets efficiently?), debt management (How much risk does our capital structure carry?), profitability (Are we earning enough on sales and assets?), and market value (What do investors think we're worth?).
Sentence 3
The DuPont equation (ROE = Net Profit Margin × Total Asset Turnover × Equity Multiplier) reveals whether a firm's ROE is driven by profitability, efficiency, or leverage — and a high ROE built on leverage is far more fragile than one built on strong margins.
Sentence 4
For a CDFI loan officer evaluating a BBYM enterprise, the most critical ratios are TIE (can you service new debt?), Debt Ratio (are you already over-leveraged?), and Current Ratio (can you meet short-term obligations?) — master these three first.
Sentence 5
Trend analysis — watching the direction of change over 3–5 years — is often more important than a single year's ratio level, because a declining healthy ratio is a warning while an improving weak ratio shows a business gaining strength.

All 14 Ratios — One-Page Reference

Ratio (Category)FormulaHealthy Range / Signal
Current Ratio (Liquidity)CA ÷ CL1.5 – 3.0 · below 1.0 = crisis
Quick Ratio (Liquidity)(CA − Inv) ÷ CL1.0 – 2.0 · stricter test; excludes inventory
Inventory Turnover (Asset Mgmt)COGS ÷ InventoryHigher = more efficient; industry-specific
Days Sales Outstanding (Asset Mgmt)AR ÷ (Sales ÷ 365)Lower = faster collections; compare to credit terms
Fixed Asset Turnover (Asset Mgmt)Sales ÷ Net Fixed AssetsHigher = better utilization of PP&E
Total Asset Turnover (Asset Mgmt)Sales ÷ Total AssetsDuPont efficiency component; industry-specific
Debt Ratio (Debt Mgmt)Total Debt ÷ Total AssetsBelow 0.50 = conservative; above 0.65 = high risk
Debt-to-Equity (Debt Mgmt)Total Debt ÷ Total EquityBelow 1.0 = equity-majority financed
TIE (Debt Mgmt)EBIT ÷ Interest ExpenseAbove 3.0× = healthy; below 1.5× = distress
Gross Profit Margin (Profitability)Gross Profit ÷ SalesHigher = stronger pricing power vs. input costs
Net Profit Margin (Profitability)Net Income ÷ Sales5–20%+; DuPont profitability component
ROA (Profitability)Net Income ÷ Total Assets5–15%; measures management effectiveness
ROE (Profitability)Net Income ÷ Total Equity15–25%; DuPont target; most watched by investors
P/E Ratio (Market Value)Price ÷ EPS10–25×; high = growth expected; low = value or distress
M/B Ratio (Market Value)Price ÷ Book Value per ShareAbove 1.0 = market sees intangible value
DuPont: ROEMargin × Turnover × MultiplierDecomposes ROE into 3 drivers — always verify this way