What operating explanation fits the financial evidence?
A financial diagnosis with formulas, comparisons and follow-up questions.
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18 / OpeningFinancial statement analysis & business diagnosis
The decision and the learning goals
Build common-size comparisons and define the ratio basis.
Explain ROA through margin and asset turnover.
Distinguish a numerical symptom from an operating explanation.
90-minute workshopOpening 5 minConcepts and original examples 35 minPractice 25 minDebrief 15 minReview 10 min
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18 / TheoryFinancial statement analysis & business diagnosis
Ratios compress relationships that still need an explanation
A ratio compares quantities measured under specific definitions. Profitability ratios relate a period’s income to revenue, assets or equity. Liquidity and leverage measures describe other relationships. A change in a ratio can come from its numerator, denominator or both.
Read the formula before comparing companies. Use average balance-sheet amounts when relating a period’s result to resources employed over that period, unless the exercise specifies another convention. Differences in accounting, business models and timing can make an apparently precise comparison misleading.
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18 / TheoryFinancial statement analysis & business diagnosis
ROA decomposition connects margin and asset use
Using a consistent income definition, return on assets equals profit margin multiplied by asset turnover. Profit margin is income divided by sales. Asset turnover is sales divided by average assets. Multiplying cancels sales and leaves income divided by average assets.
The decomposition shows two paths to the same reported return. A company with a lower margin can offset it by producing more sales per unit of assets. The comparison becomes useful when the analyst explains the operating model behind the numbers and tests whether the result can persist.
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18 / TheoryFinancial statement analysis & business diagnosis
Common-size statements make comparisons easier
Express income-statement items relative to revenue.
Express balance-sheet items relative to total assets.
Compare like periods and classifications.
A percentage movement still needs a business explanation.
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18 / TheoryFinancial statement analysis & business diagnosis
ROA decomposition
ROA = PROFIT MARGIN × ASSET TURNOVER
Profit margin
Net income ÷ revenue.
Asset turnover
Revenue ÷ average assets.
ROA
Net income ÷ average assets, using a consistent period and definition.
The revenue terms cancel. Different conventions for earnings or assets require consistent treatment.
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18 / TheoryFinancial statement analysis & business diagnosis
Similar ROA, different operating patterns
Illustrative business
Net income
Revenue
Average assets
Margin
Turnover
ROA
A
$10
$100
$50
10%
2.0×
20%
B
$10
$50
$50
20%
1.0×
20%
All values for the same period and currency; simplified figures.
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18 / Source insightFinancial statement analysis & business diagnosis
Financial statement analysis: the toolkit and two ways to compare
Defines statement analysis as a way to find the source and nature of performance, lists the tools (common-size statements; profitability, turnover, capital-structure and liquidity ratios) and the two comparison approaches.
Time-series (same firm over time) and cross-sectional (different firms, same date) comparisons answer different questions. For Relay, a time series of monthly ratios is far more informative than a cross-section against public SaaS companies.
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18 / Source insightFinancial statement analysis & business diagnosis
Cemex common-size balance sheet, 2017 vs 2016
Every asset, liability and equity line as a percent of total assets. Goodwill and intangibles (about 41%) and property, plant and equipment (about 41%) dominate assets; long-term debt falls from 39.19% to 31.19% while short-term debt rises from 0.20% to 2.99%.
Total liabilities drop from 67.20% to 62.93% of assets: the firm is deleveraging, but part of the debt has moved into the current bucket, which raises near-term refinancing pressure. The percentages locate the question; the debt schedule answers it.
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18 / Source insightFinancial statement analysis & business diagnosis
Cemex common-size income statement: net margin up, operations down
Gross margin falls from 35.81% to 34.32% and income before tax from 7.03% to 5.29% of revenue, yet net income rises from 5.61% to 5.90%.
The improvement in the bottom line comes from a lower tax charge (1.25% to 0.20%) and a swing in discontinued operations (-0.16% to +0.81%), not from the operating business. Reading only net margin would invert the diagnosis.
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18 / TheoryFinancial statement analysis & business diagnosis
Common-size statements reveal the shape of a business
A common-size income statement expresses each item as a percentage of revenue. A common-size balance sheet expresses items as a percentage of total assets. This removes absolute size from the first comparison and makes the structure easier to see.
The next step is to explain the structure. A high inventory share can reflect a deliberate availability promise, long production lead times or weak sell-through. High labor cost can reflect a service model rather than inefficiency. Compare a ratio with a relevant operating explanation and evidence.
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18 / TheoryFinancial statement analysis & business diagnosis
A diagnosis links a numerical symptom to operating evidence
A useful financial diagnosis states the observed change, proposes a mechanism and identifies evidence that would distinguish it from other explanations. The financial-analysis slides use company comparisons to practice this connection.
Consider the timing and durability of the change. Margin can rise because of price, product mix, lower input cost or a temporary reduction in service. Turnover can improve because demand rises or because the company removes capacity it will soon need again. The recommendation depends on which explanation is credible.
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18 / TheoryFinancial statement analysis & business diagnosis
A ratio is a question, not a verdict
Higher inventory can reflect expected demand or slow-moving stock.
A higher margin can come with lower asset turnover.
Borrowing changes cash and obligations without creating operating revenue.
Investigate the mechanism and comparison before judging a movement.
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18 / TheoryFinancial statement analysis & business diagnosis
A financial diagnosis
Ratios direct attention to an operating question. A diagnosis explains the mechanism behind a change and names the evidence needed to check it.
01
Locate the change
Compare consistent periods and definitions. A fall in return on assets could come from a lower margin, a larger asset base, slower sales or several connected changes.
02
Decompose
Separate return into profit margin and asset turnover using compatible measures. This distinguishes earning less on each sales dollar from generating fewer sales with the assets employed.
03
Explain operations
Connect the components to activity: price, product mix, utilization, inventory or customer payment timing. The ratio itself cannot identify which explanation is correct.
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Check & act
Seek the operational evidence that separates explanations. If new capacity is still ramping up, compare its expected utilization path with actual performance before prescribing a cost reduction.
Two firms can show the same return with different operating models. The decomposition supports questions about durability and constraints, rather than a ranking without context.
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18 / Deep diveFinancial statement analysis & business diagnosis
Ratios that carry the diagnosis before profit
Relay FY1, illustrative figures from the venture bible.
Before a venture earns a profit, the informative ratios are those that describe unit economics and cash timing. Each still needs a stated definition and an operating explanation.
Use recognized revenue for margins, cash for burn, and gross adds (not net adds) for acquisition cost.
Ratio
Definition
Relay FY1
Question it raises
Gross margin
Gross profit / revenue
144 / 180 = 80%
Will it hold when LLM inference enters cost of revenue?
Net burn
Cash at start - cash at end
1,500k - 924k = 576k
Why is late-FY1 burn ($60k/mo) above the average ($48k/mo)?
Runway (constant burn)
Cash / monthly net burn
924k / 60k = 15.4 months
When must the seed close, allowing for a fundraising period?
Deferred revenue / revenue
Prepaid, unearned / recognized
40k / 180k = 22%
How much of the cash position depends on prepay mix?
CAC payback
CAC / (ARPA x gross margin)
2,400 / 319.20 = 7.5 months
Does the fully loaded figure (12.3 months) apply instead?
Burn multiple
Net burn / net new ARR
576k / 215k = 2.7
Which lever lowers it: channel CAC or retention?
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18 / Source insightFinancial statement analysis & business diagnosis
ROA decomposition: margin times turnover
A tree splitting return on assets into profit margin (net income over sales) and asset turnover (sales over assets).
Sales cancels, so the split adds no new information about the level of ROA; its value is showing which operating lever produced it. Use the same income and asset definitions on both branches.
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18 / Source insightFinancial statement analysis & business diagnosis
Prada versus Gap: the same return from opposite strategies
Prada earns about 17.9% ROA with an 18.1% margin and 0.98 turnover; Gap earns about 17.2% with an 8.1% margin and 2.10 turnover.
Differentiation buys margin, mass-market volume buys turnover. Multiplying the published components gives 17.7% and 17.1%, small differences that reflect rounding or a different averaging convention, which is itself a reminder to check the basis.
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18 / Current practiceFinancial statement analysis & business diagnosis
Current practice: efficiency ratios and AI gross margins
Burn multiple as an investor screen
Investors commonly ask for the burn multiple, net burn divided by net new ARR, a metric credited to David Sacks of Craft Ventures. Common rules of thumb treat below 1.0 as excellent and above 2.0 as a concern, so Relay's illustrative 2.7 needs an explanation and a path down.
AI products change the gross-margin benchmark
Bessemer's State of AI 2025 reports fast-scaling AI 'Supernova' companies averaging about 25% gross margin and steadier 'Shooting Stars' about 60%, well below the 75%+ often expected of SaaS. When Relay adds an LLM layer, gross margin becomes a diagnostic of inference cost management, not only of hosting and SMS fees.
18 / PracticeFinancial statement analysis & business diagnosis
Two operating models, the same return
Illustrative annual data, using the same definition of income. A: income 10, revenue 100, average assets 50. B: income 10, revenue 50, average assets 50. In the following year A’s revenue stays 100, income falls to 8 and average assets rise to 64. All amounts use the same monetary unit.
Your task
Calculate margin, turnover and ROA for A and B. Decompose A’s later change and propose two different operating explanations and the evidence needed to distinguish them.
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18 / DebriefFinancial statement analysis & business diagnosis
A next year: 8% margin × 1.5625 turnover = 12.5% ROA. Both components deteriorate.
Possible mechanisms include pricing or cost pressure plus excess inventory, or a deliberate capacity investment before growth. Inspect mix, unit costs, capacity and inventory aging.
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18 / Venture stepFinancial statement analysis & business diagnosis
Venture step: Diagnose Relay's FY1 with ratios
Relay · venture step 18
Relay closed FY1 with 60 clinics and $180,000 of recognized revenue (illustrative). Gross profit was $144,000, operating expenses $760,000 (R&D $420,000, sales and marketing $230,000, G&A $110,000), operating loss $616,000. Cash fell from $1,500,000 to about $924,000, helped by about $40,000 of deferred revenue from annual prepayments. Late-FY1 net burn is about $60,000 a month. The seed lead asks Maya for a one-page diagnosis before the partner meeting.
Your task
Produce a ratio sheet for Relay's FY1: common-size income statement, gross margin, burn and runway, deferred revenue relative to revenue, CAC payback on both the quoted and the fully loaded CAC, and burn multiple. For each ratio, write one operating explanation and the evidence that would test it.
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18 / Venture stepFinancial statement analysis & business diagnosis
Venture step: worked reasoning
Common-size: gross margin 144/180 = 80%; R&D 233%, S&M 128%, G&A 61% of revenue; operating margin -342%. At this stage the denominator is tiny, so the useful reading is cost structure versus the revenue run rate, not the margin level.
Burn and runway: cash consumed in FY1 = 1,500,000 - 924,000 = $576,000 ($48,000 a month on average). Burn has risen to about $60,000 by year end, so the constant-burn runway is 924,000 / 60,000 = 15.4 months. Cash burn is $40,000 lower than the operating loss because prepaying clinics paid ahead of service; deferred revenue is 40/180 = 22% of revenue and is an obligation, not a profit.
CAC payback: quoted direct CAC $2,400 / (399 x 0.80 = $319.20 monthly gross profit) = 7.5 months; PT-association channel CAC $1,500 (no revenue share) gives 4.7 months. Fully loaded check (illustrative): $180,000 of revenue implies about 37.6 paying clinics on average, consistent with roughly 15 at the start of FY1, so about 45 net adds plus about 13.5 churned (3% x 37.5 x 12) = 58.5 gross adds. $230,000 / 58.5 = $3,932 per clinic, a 12.3-month payback. The gap between $2,400 and $3,932 is the first question for Maya.
Burn multiple (illustrative): net new ARR about 45 x $4,788 = $215,460; 576,000 / 215,460 = 2.7. Each dollar of new ARR cost $2.70 of burn; investors will ask what drives it down (channel CAC, founder time shifting from selling to managing).
Explanations to test: high R&D share reflects building the EHR integration before scale (check the roadmap split between integration and core product); the CAC gap reflects marketing spend not attributed to deals (check S&M by activity). Ask for monthly cohort retention by segment before accepting the 3% churn assumption.
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18 / DebriefFinancial statement analysis & business diagnosis
Reasoning traps
Quoted CAC versus fully loaded CAC
A CAC built from deal-attributed spend ($2,400 for Relay) can sit well below total S&M divided by gross adds ($3,932). Payback and LTV/CAC claims should state which one they use.
Prepayment cash read as performance
Annual prepayments lower burn and create deferred revenue, a liability. Diagnose operating economics from recognized revenue and cost, and treat the cash timing benefit separately because it reverses if the prepay mix changes.
Mature-company ratios on a pre-profit venture
ROA and ROE for Relay are deeply negative and driven by cash raised, so they say little about the operating model. Gross margin, payback, churn, burn multiple and runway carry the diagnosis until the business approaches breakeven.
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18 / ReviewFinancial statement analysis & business diagnosis
What you can now explain
A one-page FY1 ratio diagnosis of Relay: common-size statement, 80% gross margin, 15.4-month constant-burn runway, 7.5- versus 12.3-month CAC payback, burn multiple of about 2.7, and the evidence requested to test each explanation.
A ratio identifies where to look; the diagnosis requires a mechanism and evidence that would distinguish it from alternatives.
The same return can come from high margin and low turnover or the reverse, so compare the operating model behind the ratio, not the ratio alone.
For a venture like Relay, unit-level ratios (gross margin, CAC payback, burn multiple) and cash timing (deferred revenue, runway) do the work that ROA and ROE do for mature firms.
Next lesson: Building the operating model
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Check your understanding
What operating explanation fits the financial evidence?
Score
Question 1
Relay's quoted direct CAC is $2,400. Each clinic pays $399 a month at an 80% gross margin. How many months of gross profit does it take to recover the CAC?
Payback uses gross profit, not revenue: 2,400 / (399 x 0.80) = 2,400 / 319.20 = 7.5 months. Dividing by revenue (2,400 / 399 = 6.0) ignores SMS, hosting and onboarding costs that every clinic consumes.
Question 2
In FY1 Relay spent $230,000 on sales and marketing, added about 45 clinics net and lost about 13.5 to churn (illustrative). Treating all S&M as acquisition spend, what is the fully loaded cost per new clinic?
Acquisition spend buys gross adds, not net adds: 45 + 13.5 = 58.5 gross new clinics, and 230,000 / 58.5 = $3,932. Dividing by net adds ($5,111) charges churn to sales; quoting $2,400 ignores spend not attributed to closed deals.
Question 3
A business has income of 12, revenue of 150 and average assets of 100. Management wants a 15% ROA next year without changing margin or assets. What revenue is required?
Margin is 12/150 = 8% and turnover 1.5, so ROA is 12%. With margin fixed at 8% and assets at 100, ROA of 15% needs turnover of 1.875, i.e. revenue of 187.5. The ratio sets a target; whether the asset base can carry that volume is the operating question.
Question 4
When Relay Scheduler launches, LLM inference costs could lower gross margin from 80% to 72%. On FY1-sized revenue of $180,000 with operating expenses unchanged, what happens to the operating loss?
Gross profit falls from 144,000 to 129,600 (180,000 x 0.72), a $14,400 reduction, so the loss moves from -616,000 to -630,400. Inference is a cost of delivering the service and belongs in cost of revenue, which is why it shows up in gross margin.
Question 5
A board member says Relay's $40,000 of deferred revenue at year end shows the business is more profitable than the income statement suggests. Which response is correct?
Deferred revenue is a liability for service not yet delivered. It explains why cash fell $576,000 against a $616,000 loss, but it is a timing benefit. If fewer clinics prepay next year, burn rises even with the same economics.
Question 6
Relay's monthly gross margin slips from 80% to 76% over a quarter. One explanation is a carrier SMS price increase; another is onboarding staff time now booked to cost of revenue for new groups. Which evidence best separates them?
The two mechanisms leave different footprints: SMS pricing scales with messages across all clinics, while onboarding cost clusters around new accounts. Splitting cost of revenue by driver tests the mechanism; a benchmark or a different averaging convention does not.
Workbook
What operating explanation fits the financial evidence?
Module output: A linked financial analysis, operating forecast, valuation and staged-investment decision.
Sources
Materials this lesson draws on
Original pages and full documents are in the Library edition.