Study guide
10.1 Articulating the Three Statements
Financial Modeling & Valuation Analyst FMVA
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1 Introduction
Current Exam Facts Program Path and How to Use This Guide
2 Chapter 1: Accounting Foundations
1.1 Accounting Principles 1.2 Reading Financial Statements 1.3 Accounting Decisions in Models
3 Chapter 2: Time Value and Capital Budgeting
2.1 Time Value of Money 2.2 NPV, IRR, and Decision Rules 2.3 Capital Budgeting Cash Flows
4 Chapter 3: Cost of Capital
3.1 Capital Structure 3.2 CAPM, Beta, and Cost of Equity 3.3 WACC
5 Chapter 4: Profitability and Returns
4.1 Profitability and Margins 4.2 Returns and DuPont Analysis 4.3 Per-Share Metrics and Growth
6 Chapter 5: Liquidity, Leverage, and Cash Flow
5.1 Liquidity and Working Capital Metrics 5.2 Leverage, Coverage, and Credit 5.3 Cash Flow Statement Analysis
7 Chapter 6: Excel Fundamentals
6.1 Shortcuts, Setup, and Navigation 6.2 Core Formulas and Error Handling 6.3 Named Ranges and Workbook Hygiene
8 Chapter 7: Excel Lookups and Financial Functions
7.1 Lookup Functions 7.2 Conditional Aggregations 7.3 Financial Functions
9 Chapter 8: Excel What-If Analysis and Auditing
8.1 Goal Seek and Data Tables 8.2 Formula Auditing and Protection
10 Chapter 9: Financial Modeling Guidelines
9.1 Model Structure and Layout 9.2 Color Conventions and Formatting 9.3 Integrity Checks and Documentation
11 Chapter 10: Three-Statement Modeling
10.1 Articulating the Three Statements 10.2 Building the Income Statement 10.3 Building the Balance Sheet and Cash Flow Statement
12 Chapter 11: Circularity and Model Audit
11.1 Circular References and Iteration 11.2 Auditing and Balancing a 3-Statement Model
13 Chapter 12: Operational Modeling
12.1 Revenue and Operating Drivers 12.2 Working Capital Modeling 12.3 Capex and Depreciation
14 Chapter 13: Debt Schedules, Scenarios, and Sensitivity
13.1 Debt and Interest Schedules 13.2 Scenario Analysis 13.3 Sensitivity Analysis
15 Chapter 14: Valuation Foundations
14.1 Valuation Methods and Enterprise Value 14.2 Unlevered Free Cash Flow
16 Chapter 15: DCF Valuation
15.1 DCF Structure, WACC, and Mid-Year Convention 15.2 Terminal Value and the Equity Bridge
17 Chapter 16: Comparable Valuation
16.1 Trading Comps and Multiples 16.2 Precedent Transactions and the Football Field
18 Chapter 17: Budgeting and Forecasting
17.1 Budget Types 17.2 Forecasting Techniques 17.3 Rolling Forecasts and Variance Analysis
19 Chapter 18: Presentation and Visuals
18.1 Chart Types and Selection 18.2 Dashboards and Data Visualization 18.3 PowerPoint and Pitchbooks 18.4 Presenting Model Outputs
20 Chapter 19: Professional Ethics and Qualitative Analysis
19.1 Professional Ethics 19.2 Qualitative Business Analysis
10.1 Articulating the Three Statements
Key Takeaways Explain This Topic AI
Net income from the income statement feeds retained earnings on the balance sheet and is the starting point of cash from operations on the cash flow statement.
Ending cash equals beginning cash plus CFO plus CFI plus CFF, and that amount must equal the cash line on the balance sheet — the plug test.
A CFI-style model inverts at the last historical year: historical years hardcode statement dollars and compute drivers; forecast years hardcode drivers and compute the statements.
D&A is added back on the cash flow statement and must come from the PP&E schedule; capex adds to PP&E and is a cash-from-investing outflow.
When a three-statement model does not balance, the usual break points are retained earnings, cash, and net PP&E.
Last updated: August 2026
Why Articulation Is the FMVA Core Skill
CFI's 2026 core list stacks three consecutive courses on this skill: Introduction to 3-Statement Modeling , 3-Statement Modeling , and Auditing and Balancing a 3-Statement Model . Financial modeling is about 30% of estimated FMVA final weight, and the Excel case studies on the 50-question, 3-hour exam are three-statement work. You can miss a ratio definition and still pass at 70%. You cannot miss how net income (NI) moves into retained earnings (RE) and into cash from operations (CFO) and still produce a model that balances.
Articulation means the three statements are one system. The income statement is the period's accrual performance. The balance sheet is the stock of assets, liabilities, and equity at a date. The statement of cash flows explains why cash changed. CFI's linking guidance (the Tim Vipond / CFI map every FMVA candidate is expected to know) is specific:
NI from the bottom of the income statement feeds RE on the balance sheet and is the starting point of CFO .
Depreciation and amortization (D&A) is an income-statement expense sourced from the property, plant, and equipment (PP&E) schedule, then added back on the cash flow statement because it is non-cash.
Capital expenditure (capex) adds to PP&E and is a cash from investing (CFI) outflow.
Changes in net working capital (ΔNWC) appear on the cash flow statement; the working-capital accounts (receivables, inventory, payables, and other operating current items) sit on the balance sheet.
Debt: interest is on the income statement, principal is on the balance sheet, and the change in principal is cash from financing (CFF) . A debt schedule is required; you cannot back into principal from the interest line alone.
Ending cash = beginning cash + CFO + CFI + CFF , and that cash figure is the cash line on the balance sheet. That identity is the plug test . If it fails, the model is not finished.
Those six links are the spine of every later FMVA topic: operational modeling, debt schedules, unlevered free cash flow, and DCF. If they are slogans rather than equalities, the case study will not balance.
Interview-Style Short Answer Versus Model-Build Long Answer
The FMVA final mixes both formats. Interview-style items want the links in one sentence. Excel case studies (CFI budgets about 45 minutes per case, 60 maximum) want those links as live formulas across historical and forecast columns. Reciting "NI goes to retained earnings" is the short answer. The long answer is RE_t = RE_{t-1} + NI_t − dividends_t in Excel, with dividends also in CFF, and with the same NI starting CFO.
- Link Interview short answer Model-build long answer
- Net income NI flows to RE and starts CFO RE_t = RE_{t-1} + NI_t − dividends_t; CFO starts at NI
D&A Expense on the P&L, add-back on the CFS, from PP&E D&A from the PP&E schedule, not a free % of sales; same number in three places
Capex Adds PP&E; CFI outflow Ending PP&E = begin + capex − D&A; CFI = −capex
Working capital ΔNWC on the CFS; AR, inventory, AP on the BS Forecast the stocks, then ΔNWC = NWC_t − NWC_{t-1}
Debt Interest on the IS; principal on the BS; Δprincipal in CFF Debt schedule: begin + draws − repayments; interest = f(debt)
Cash Ending cash is calculated, then placed on the BS Cash_t = Cash_{t-1} + CFO + CFI + CFF; BS cash references that cell
A candidate who can recite "add back D&A" still fails the case if D&A on the income statement does not equal D&A on the cash flow statement and does not equal the D&A used in the PP&E roll-forward. Articulation is equality of the same number in three places , not a slogan. The same is true of capex (PP&E and CFI), dividends (RE and CFF), and cash (CFS and BS).
The Accrual Income Statement Is Not the Cash Flow Statement
The income statement is accrual . Revenue is booked when control transfers, not when cash is collected. Expenses are matched to the period, not to the check that pays them. That is why a profitable year can consume cash, and why a loss year can still produce cash if working capital unwinds.
CFI's linking logic has a sharp implication: if there were no accounts receivable, no inventory, no payables, and no capitalization of long-lived assets, there would be almost no balance sheet except cash and equity . Every credit sale that is not yet collected creates AR. Every unit produced and not yet sold creates inventory. Every unpaid supplier invoice creates AP. Every machine that is capitalized rather than expensed creates PP&E. Those accounts exist because accrual accounting splits the income-statement event from the cash event. The cash flow statement is the reconciliation of that split. Without it, NI would equal the change in cash (after dividends and financing), and you would not need a three-statement model.
That is also why you never independently forecast cash as a percent of revenue on a standard three-statement build. Cash is what is left after operations, investing, and financing. Forecasting it independently double-counts and breaks the plug test. (Minimum cash plus a revolver is the exception, and it creates circularity — Chapter 11.)
Historical Years Hardcode Statements; Forecast Years Invert
A CFI-style model inverts at the last historical year.
Historical years: you hardcode the reported income statement and balance sheet (and the cash flow statement if the case provides it). You then compute drivers from those hardcodes: revenue growth, COGS as a percent of sales, SG&A as a percent of sales, receivable days, inventory days, payable days, capex, implied depreciation, the tax rate, the dividend payout. Blue-font inputs are the raw financials; black-font formulas are the ratios.
Forecast years: you hardcode the drivers (growth, margins, days, capex, tax rate, payout) and compute the statements . Blue-font inputs are now the assumptions; black-font formulas are the three statements.
If you hardcode forecast revenue and forecast COGS dollars and a COGS percent, the percent will not match the dollars when someone changes growth. If you hardcode forecast NI as a margin while also forecasting every line above it, the model is over-determined: two different net incomes will fight. Section 10.2 is the income-statement version of this invert. Section 10.3 is the balance-sheet and cash-flow version.
Common Break Points: Retained Earnings, Cash, and PP&E
When a three-statement model does not balance, CFI audit practice starts at three accounts. Chapter 11 will turn this into a full checklist. Learn the three break points now, because every wrong link in 10.2 and 10.3 lands in one of them.
Retained earnings. Ending RE must equal beginning RE + NI − dividends (ignore other comprehensive income unless the case gives it). If you used NI but forgot dividends, RE is too high and equity is too high. If you put dividends in SG&A, EBIT is too low and you may also put the dividend in CFF, double-counting cash. If you used EBITDA instead of NI in the RE roll-forward, RE is too high by D&A, interest, and tax.
Cash. Ending cash on the cash flow statement must equal the cash line on the balance sheet. If you independently typed a cash forecast on the BS, you have two cashes. If ΔNWC has the wrong sign, cash is off by that amount every year, then compounds. If capex is expensed on the P&L and placed in CFI, you have subtracted it twice from cash and once from NI.
PP&E. Ending net PP&E = beginning net PP&E + capex − D&A (minus book value of any disposals). If D&A on the income statement is a free percent of sales but the PP&E schedule uses a different D&A, three lines disagree: the P&L, the CFS add-back, and the BS. Capex that hits CFI but not the PP&E roll-forward makes assets too low, and the BS will not balance unless some other plug hides it.
A One-Year Walk of the Official Links
This chapter uses one compact company, Clearwater Tools , through 10.2 and 10.3. Year 0 is historical and hardcoded: revenue $1,000,000 , NI $108,000 , ending cash $50,000 , net PP&E $400,000 , debt $200,000 , operating NWC $120,000 , common stock $250,000 , RE $120,000 , total assets $630,000 . Year 1 is a forecast that will produce NI $121,500 , D&A $42,000 , capex $60,000 , ΔNWC +$12,000 , a $20,000 debt repayment, and dividends $36,450 . Walk the official links on Year 1 before building the full statements.
The income statement computes NI of $121,500 from drivers (section 10.2). That figure starts CFO and feeds RE.
D&A of $42,000 , taken from the PP&E schedule, is already inside EBIT and is added back in CFO.
Capex of $60,000 raises PP&E and is a CFI outflow. It is not an income-statement expense.
Operating NWC rises $12,000 because AR and inventory grow with sales faster than AP. CFO subtracts $12,000.
Interest of $16,000 is already inside NI (beginning debt $200,000 × 8%). The $20,000 principal repayment is CFF, not an expense.
Dividends of $36,450 are CFF and a reduction of RE, not an SG&A line.
CFO = 121,500 + 42,000 − 12,000 = $151,500 . CFI = −$60,000 . CFF = −20,000 − 36,450 = −$56,450 . Change in cash = $35,050 . Ending cash = 50,000 + 35,050 = $85,050 , which is the only cash number allowed on the Year 1 balance sheet.
If RE, cash, and PP&E each roll forward correctly, Year 1 total assets will equal total liabilities and equity at $701,050 . If any one link is missing, they will not. That walk is the interview short answer (the eight sentences) and the case-study long answer (the live model in 10.2 and 10.3).