Analyzing Statements of Cash Flows II

This topic builds on the mechanics learned in Cash Flows I by introducing the analytical tools that transform raw cash flow data into actionable investment insights. Free cash flow to the firm (FCFF) and free cash flow to equity (FCFE) are the inputs to discounted cash flow models used in equity valuation. Coverage ratios assess solvency from a cash perspective, which is often more reliable than accrual-based metrics. Common-size cash flow analysis and life-cycle stage identification round out the toolkit. exam-focus

Learning Objectives Coverage

LO1: Analyze and interpret both reported and common-size cash flow statements

Core Concept ratio-analysis

Common-size cash flow analysis expresses each item as a percentage of total revenue or total cash sources, enabling trend analysis and peer comparison regardless of company size. It reveals cash generation quality, sustainability of cash flows, and the relative importance of different cash sources and uses. Key components include percentage-of-revenue analysis, the sources-and-uses framework, trend identification, peer benchmarking, and cash flow pattern recognition by business life cycle stage.

Formulas & Calculations

• Common-size cash flow ratios:
  • CFO/Revenue = Operating cash margin
  • CFI/Revenue = Investment intensity
  • CFF/Revenue = Financing dependency
  • Each line item/Total cash inflows = Source composition
  • Each line item/Total cash outflows = Use composition
• HP 12C steps (for percentages):
  • [Cash flow item] ENTER
  • [Revenue or base] ÷
  • 100 ×
• Common variations: As % of assets, % of total sources, % of CFO

Practical Examples

• Traditional Finance Example: Apple vs. Meta cash flow comparison
  • Apple: CFO/Revenue = 29%, CFI/Revenue = -3%, CFF/Revenue = -26%
  • Meta: CFO/Revenue = 35%, CFI/Revenue = -18%, CFF/Revenue = -17%
  • Analysis: Meta higher operating efficiency but heavier capex
  • Apple returns more cash to shareholders (buybacks/dividends)
• Calculation walkthrough: Life cycle stage analysis
  • Startup: CFO -10%, CFI -5%, CFF +15% (burning cash, funded externally)
  • Growth: CFO +15%, CFI -20%, CFF +5% (reinvesting heavily)
  • Mature: CFO +25%, CFI -5%, CFF -20% (returning cash)
  • Decline: CFO +10%, CFI +5%, CFF -15% (harvesting assets)
• Interpretation: Cash flow patterns reveal business life cycle stage

DeFi Application defi-application

Comparing Uniswap, Aave, and Curve through common-size cash flow analysis reveals fundamentally different protocol economics:

• Uniswap: CFO/Fees = 95% (minimal costs), CFI = -5% (development grants)
• Aave: CFO/Fees = 60% (safety module costs absorb margin), CFI = -10% (ecosystem grants)
• Curve: CFO/Fees = 40% (high CRV emissions), CFI = -15% (gauge bribes and votes)

All three show negative financing flows from token buybacks or burns. The on-chain transparency is a significant advantage, but the absence of standardized definitions for what constitutes “operating” versus “investing” versus “financing” in DeFi means these categorizations involve analytical judgment.

LO2: Calculate and interpret free cash flow to the firm, free cash flow to equity, and performance and coverage cash flow ratios

Core Concept exam-focus

Free cash flows represent cash available for distribution after maintaining and growing the business; coverage ratios assess the ability to meet obligations from actual cash generation rather than accrual-based earnings. FCFF drives intrinsic value in enterprise DCF models used in equity valuation, while FCFE is the input for equity-only DCF approaches. Coverage ratios indicate financial flexibility and solvency from a cash perspective, which is particularly important for fixed income credit analysis. This is among the most heavily tested topics in the FSA module.

Formulas & Calculations

• Free Cash Flow to Firm (FCFF): formula
  • Method 1: CFO + Int(1-Tax) - Capex
  • Method 2: EBIT(1-Tax) + D&A - Capex - Delta NWC
  • Method 3: EBITDA(1-Tax) + D&A(Tax) - Capex - Delta NWC
• Free Cash Flow to Equity (FCFE): formula
  • Method 1: CFO - Capex + Net borrowing
  • Method 2: FCFF - Int(1-Tax) + Net borrowing
  • Method 3: NI + D&A - Capex - Delta NWC + Net borrowing
• Coverage ratios:
  • Cash coverage = (CFO + Interest + Taxes) / Interest
  • Debt coverage = CFO / Total debt
  • Dividend coverage = (CFO - Capex) / Dividends
• HP 12C steps (for FCFF):
  • [CFO] ENTER
  • [Interest] ENTER [Tax rate] 1 x<>y - × +
  • [Capex] -
• Common variations: Levered vs. unlevered FCF, maintenance vs. growth capex

Practical Examples

• Traditional Finance Example: Amazon’s FCF evolution
  • 2019: CFO $39B,Capex$16B, Interest $1.6B, Tax 20%
  • FCFF = $39B+$1.6B(1-0.2) - $16B=$24.3B
  • FCFE = $39B-$16B + $2Bborrowing=$25B
  • 2022: CFO $47B,Capex$59B (massive expansion)
  • FCFF = $47B+$2.4B(0.8) - $59B=-$10.1B (negative)
  • Shows growth investment exceeding cash generation
• Calculation walkthrough: Coverage ratio analysis
  • CFO: $500M,Interest:$50M, Taxes: $100M,Debt:$2B
  • Cash coverage = ($500M+$50M + $100M)/$50M = 13x
  • Debt coverage = $500M/$2B = 0.25x (4 years to repay)
  • Strong interest coverage but moderate debt paydown ability
• Interpretation: Multiple coverage metrics provide complete picture

DeFi Application defi-application

MakerDAO’s free cash flow analysis demonstrates how FCFF and FCFE concepts translate to DeFi:

• Protocol revenue: Stability fees + liquidation fees = $150M
• Operating costs: Oracles, development, grants = $30M
• “CFO equivalent”: $120M
• “Capex”: RWA investments, PSM facility deployments = $500M
• FCFF = $120M-$500M = -$380M (investing heavily in growth)
• FCFE: Add surplus buffer changes and MKR token burns

The negative FCFF is not inherently alarming — it mirrors Amazon’s strategy of reinvesting all operating cash into growth, as discussed in the Cash Flows I case studies. Real-time FCF calculation is possible on-chain, though the absence of tax considerations simplifies the FCFF formula significantly.

Core Concepts Summary (80/20 Principle)

Must-Know Concepts

1. Common-size cash flow: Express as % of revenue to compare across companies
2. FCFF: Cash for all investors = CFO + Int(1-T) - Capex
3. FCFE: Cash for equity only = CFO - Capex + Net borrowing
4. Coverage ratios: Cash-based solvency metrics superior to accrual ratios
5. Life cycle patterns: Startup (all negative), Growth (positive CFO), Mature (positive FCF)

Quick Reference Table

Concept	Formula	Key Use	DeFi Application
Common-size CFO	CFO/Revenue × 100%	Operating efficiency	Protocol fee efficiency
FCFF	CFO + Int(1-T) - Capex	Enterprise valuation	Protocol total value
FCFE	CFO - Capex + Net debt	Equity valuation	Token holder value
Cash coverage	(CFO + Int + Tax)/Int	Solvency assessment	N/A (no debt service)
Cash ROA	CFO/Average assets	Asset productivity	TVL efficiency

Comprehensive Formula Sheet formula

Essential Formulas

Free Cash Flow to Firm (FCFF):
Method 1: CFO + Interest(1 - Tax rate) - Capital Expenditures
Method 2: EBIT(1 - Tax rate) + Depreciation - Capex - Δ NWC
Method 3: EBITDA(1 - Tax rate) + Depreciation(Tax rate) - Capex - Δ NWC
Where: Available to all capital providers
Used for: Enterprise DCF valuation

Free Cash Flow to Equity (FCFE):
Method 1: CFO - Capital Expenditures + Net Borrowing
Method 2: FCFF - Interest(1 - Tax rate) + Net Borrowing
Method 3: Net Income + Depreciation - Capex - Δ NWC + Net Borrowing
Where: Available to equity holders only
Used for: Equity DCF valuation

Common-Size Cash Flow:
Each item / Revenue × 100%
Alternative: Each item / Total sources × 100%
Where: Standardizes for size differences
Used for: Cross-sectional analysis

Cash Interest Coverage:
(CFO + Interest + Taxes) / Interest
Where: Cash-based solvency metric
Used for: Debt service ability

Debt Payment Coverage:
CFO / Current portion of long-term debt
Where: Ability to repay maturing debt
Used for: Refinancing risk assessment

Dividend Coverage:
(CFO - Maintenance Capex) / Dividends
Where: Sustainability of distributions
Used for: Dividend safety analysis

Reinvestment Ratio:
(Capex + Δ NWC) / CFO
Where: Portion of cash reinvested
Used for: Growth vs. distribution analysis

Cash Return on Assets:
CFO / Average Total Assets
Where: Cash-generating efficiency
Used for: Operating performance

Cash Return on Equity:
CFO / Average Shareholders' Equity
Where: Cash returns to equity
Used for: Equity efficiency

Cash to Income Ratio:
CFO / Net Income
Where: Earnings quality indicator
Used for: Detecting accrual manipulation

HP 12C Calculator Sequences

FCFF Calculation:
RPN Steps: [CFO] ENTER, [Interest] ENTER, [1] ENTER [Tax%] -, ×, +, [Capex] -
Example: 1000 ENTER, 100 ENTER, 1 ENTER 0.3 -, ×, +, 300 - = 770

FCFE Calculation:
RPN Steps: [CFO] ENTER, [Capex] -, [Net Borrowing] +
Example: 1000 ENTER, 300 -, 150 + = 850

Common-Size Percentage:
RPN Steps: [CF Item] ENTER, [Revenue] ÷, 100 ×
Example: 250 ENTER, 1000 ÷, 100 × = 25%

Cash Coverage Ratio:
RPN Steps: [CFO] ENTER, [Interest] +, [Taxes] +, [Interest] ÷
Example: 500 ENTER, 50 +, 100 +, 50 ÷ = 13

Debt Coverage Years:
RPN Steps: [Total Debt] ENTER, [CFO] ÷
Example: 2000 ENTER, 400 ÷ = 5 years

Cash ROA:
RPN Steps: [CFO] ENTER, [Avg Assets] ÷, 100 ×
Example: 200 ENTER, 2500 ÷, 100 × = 8%

Cash to Income:
RPN Steps: [CFO] ENTER, [Net Income] ÷
Example: 150 ENTER, 100 ÷ = 1.5

Practice Problems

Basic Level (Understanding)

1. Problem: Calculate FCFF and FCFE

   • Given: CFO $800M,Interest$60M, Tax rate 25%, Capex $200M,Netborrowing$100M
   • Find: FCFF and FCFE
   • Solution:
     • FCFF = $800M+$60M(1-0.25) - $200M
     • FCFF = $800M+$45M - $200M=$645M
     • FCFE = $800M-$200M + $100M=$700M
     • Alternative: FCFE = $645M-$45M + $100M=$700M ✓
   • Answer: FCFF $645M(allinvestors),FCFE$700M (equity only)

2. Problem: Common-size cash flow analysis

   • Given: Revenue $5B,CFO$1B, CFI -$300M,CFF-$600M
   • Find: Common-size percentages and interpretation
   • Solution:
     • CFO/Revenue = $1B/$5B = 20%
     • CFI/Revenue = -$300M/$5B = -6%
     • CFF/Revenue = -$600M/$5B = -12%
     • Net cash increase = $100M = 2% of revenue
   • Answer: Strong 20% operating margin, moderate investment, returning 12% to investors

Intermediate Level (Application)

1. Problem: Multi-year FCF trend analysis

   • Given:

     Year	CFO	Interest	Capex	Tax Rate
     2021	$500M	$40M	$150M	30%
     2022	$600M	$45M	$200M	30%
     2023	$550M	$50M	$300M	30%

   • Find: FCFF trend and analysis
   • Solution:
     • 2021: $500M+$40M(0.7) - $150M=$378M
     • 2022: $600M+$45M(0.7) - $200M=$431.5M
     • 2023: $550M+$50M(0.7) - $300M=$285M
     • Trend: Growing then declining due to heavy capex
   • Answer: FCF peaked in 2022, 2023 investment surge pressures cash

2. Problem: Coverage ratio comprehensive analysis

   • Given: CFO $300M,Interest$25M, Taxes $50M,Principalpayments$100M, Dividends $80M,Totaldebt$1B
   • Find: All relevant coverage ratios
   • Solution:
     • Cash interest coverage = ($300M+$25M + $50M)/$25M = 15x
     • Debt service coverage = $300M/($25M + $100M) = 2.4x
     • Dividend coverage = $300M/$80M = 3.75x
     • Debt payback period = $1B/$300M = 3.3 years
   • Answer: Excellent interest coverage, adequate debt service, comfortable dividend coverage

Advanced Level (Analysis)

1. Problem: Company valuation using FCF

   • Given:
     • Current FCFF: $100M
     • Growth rate: 5% perpetual
     • WACC: 10%
     • Debt: $800M
     • Shares: 50M
   • Find: Enterprise value and stock price
   • Solution:
     • Terminal value = $100M(1.05)/(0.10-0.05)=$2,100M
     • Enterprise value = $2,100M
     • Equity value = $2,100M-$800M = $1,300M
     • Price per share = $1,300M/50M=$26
   • Answer: Stock worth $26 based on FCF perpetuity model

2. Problem: DeFi protocol FCF analysis

   • Given:
     • Protocol fees: $50M annually
     • Liquidity incentives: $30M tokens issued
     • Development costs: $10M
     • Treasury farming yield: $5M
     • New liquidity programs: $25M investment
   • Find: Protocol FCFF and sustainability
   • Solution:
     • Operating cash: $50M+$5M - $10M=$45M
     • Token emissions (non-cash): -$30M
     • Net operating: $45M-$30M = $15M
     • Less investment: $15M-$25M = -$10M FCFF
     • Burn rate: $10M annually
     • Treasury required: $10M/year deficit
   • Answer: Negative $10M FCF requires treasury funding or reduced emissions

DeFi Applications & Real-World Examples

Traditional Finance Context

• Institution Example: Berkshire Hathaway generates $30B+ annual FCF, enabling acquisitions without external financing
• Market Application: Netflix FCF turned positive in 2020 after years of content investment, validating streaming model
• Historical Case: GE’s negative FCF from 2017-2020 despite positive earnings revealed true financial distress

DeFi Parallels defi-application

Yearn Finance’s FCF model provides one of the cleanest DeFi-to-TradFi mappings:

• Vault management fees: Operating cash inflow (analogous to asset management fees)
• Strategy development: Growth capex equivalent
• YFI buybacks: Return of capital to token holders (share repurchase analog)
• Treasury yield farming: Additional operating cash (investment income)
• Smart Contract Logic:

  function calculateProtocolFCF() view returns (int256) {
    uint256 operatingCash = totalFees - operatingExpenses;
    uint256 investments = strategyDeployments + auditCosts;
    int256 fcf = int256(operatingCash) - int256(investments);
    return fcf; // Available for buybacks or treasury
  }

• Advantages: Real-time FCF calculation, transparent capital allocation
• Limitations: No tax shield benefits, volatile token-based expenses

Case Studies

1. Case 1: Tesla’s FCF inflection point (2019-2020)

   • Background: Years of negative FCF despite revenue growth
   • Analysis:
     • 2018: CFO $2.1B,Capex$2.3B, FCFF negative
     • 2019: CFO $3.7B,Capex$1.3B, FCFF $2.4B positive
     • 2020: CFO $5.9B,Capex$3.2B, FCFF $2.7B sustained
     • Model 3 production ramp complete, investment normalized
   • Outcomes: Stock price 10x as FCF proved sustainable
   • Lessons learned: FCF inflection points drive revaluation

2. Case 2: Olympus DAO’s unsustainable cash flows (2021-2022)

   • Background: Protocol promising high yields through bonding
   • Analysis:
     • Inflows: Bond sales $4B equivalent
     • Outflows: 7,000% APY rebases
     • Operating: Protocol-owned liquidity yields $50M
     • FCF: Massively negative without new bonds
     • Ponzi-like dependence on new capital
   • Outcomes: OHM price collapsed 95% when inflows stopped
   • Lessons learned: Sustainable FCF requires real revenue, not financial engineering

Common Pitfalls & Exam Tips

Frequent Mistakes

• Mistake 1: Forgetting to add back after-tax interest in FCFF calculation (it’s available to debt holders)
• Mistake 2: Using net borrowing in FCFF (only in FCFE)—FCFF is before financing decisions
• Mistake 3: Confusing CFO with FCFF—FCFF adds back interest and subtracts capex

Exam Strategy

• Time management: 6-8 minutes for FCF calculation problems
• Question patterns:
  • “Calculate FCFF” (remember after-tax interest adjustment)
  • “Convert FCFF to FCFE” (subtract after-tax interest, add net borrowing)
  • “Assess dividend sustainability” (use coverage ratios)
• Quick checks:
  • FCFE = FCFF - Int(1-T) + Net borrowing
  • FCFF should be > 0 for mature companies
  • Coverage ratios > 1 indicate adequacy

Key Takeaways

Essential Points

✓ Common-size cash flow analysis (as % of revenue) enables comparison across different sized companies ✓ FCFF = CFO + Int(1-Tax) - Capex represents cash available to all investors ✓ FCFE = CFO - Capex + Net borrowing represents cash available to equity holders only ✓ Coverage ratios using cash flows (not earnings) provide superior solvency assessment ✓ Life cycle stage determines expected cash flow patterns (startup negative, mature positive FCF)

Memory Aids

• Mnemonic: “FCFF adds Interest” (after-tax), “FCFE adds Borrowing”
• Visual: Cash waterfall from CFO → FCFF → FCFE
• Analogy: FCFF is the whole pie, FCFE is what’s left after debt gets its slice

Cross-References & Additional Resources

Related Topics

• Prerequisite: Cash Flows I for basic statement construction and methods
• Related: Income Statements for net income starting point; Balance Sheets for working capital and leverage
• Applied: Equity Investments uses FCFF and FCFE in DCF valuation models; Fixed Income uses coverage ratios for credit analysis
• See also: Corporate Issuers for capital allocation decisions driven by FCF

Source Materials

• Primary Reading: Volume 4, Learning Module 5, Pages 201-232
• Key Sections:
  • Section 2: Common-size Analysis (pp. 203-210)
  • Section 3: Free Cash Flow (pp. 211-220)
  • Section 4: Coverage Ratios (pp. 221-228)
• Practice Questions: End-of-reading problems 1-15, focus on 4, 7, 11, 14

External Resources

• Videos: “Free Cash Flow Masterclass” by Aswath Damodaran (YouTube, 2 hours)
• Articles: “Cash Flow vs Earnings” - McKinsey Quarterly
• Tools:
  • Morningstar Direct for FCF screening
  • Token Terminal for DeFi protocol cash flows
  • FactSet for historical FCF analysis

Review Checklist

Before moving on, ensure you can:

• Create and interpret common-size cash flow statements
• Calculate FCFF using multiple methods and reconcile differences
• Calculate FCFE from both FCFF and CFO approaches
• Compute and interpret cash-based coverage ratios
• Identify cash flow patterns across business life cycle stages
• Distinguish between FCFF and FCFE applications
• Apply FCF concepts to DeFi protocol analysis
• Assess dividend and debt service sustainability using cash flows
• Convert between FCFF and FCFE accurately
• Complete FCF problems in under 8 minutes