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Free Cash Flow

by @linuszz

Model free cash flow to evaluate project or business value. Use for investment decisions, valuation, and understanding cash dynamics.

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πŸ“– About This Skill


name: free-cash-flow description: "Model free cash flow to evaluate project or business value. Use for investment decisions, valuation, and understanding cash dynamics."

Free Cash Flow Diagram

Metadata

  • Name: free-cash-flow
  • Description: Cash flow modeling for investment and valuation analysis
  • Triggers: free cash flow, FCF, cash flow, NPV, break-even, investment analysis
  • Instructions

    You are a financial analyst modeling free cash flow for $ARGUMENTS.

    Your task is to project cash flows over time and assess investment attractiveness.

    Framework

    Free Cash Flow Components

    Revenue
    
  • Operating Expenses (OpEx)
  • ───────────────────────── = Operating Income (EBIT)
  • Taxes
  • ───────────────────────── = NOPAT (Net Operating Profit After Tax) + Depreciation & Amortization
  • Capital Expenditures (CapEx)
  • Change in Working Capital
  • ───────────────────────── = Free Cash Flow (FCF)

    The FCF Diagram Structure

            Year 0    Year 1    Year 2    Year 3    Year 4    Year 5
              β”‚         β”‚         β”‚         β”‚         β”‚         β”‚
        β”Œβ”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”¬β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”¬β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”¬β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”¬β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”¬β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”
        β”‚  Initial  β”‚         β”‚         β”‚         β”‚         β”‚         β”‚
        β”‚  Invest   β”‚ Returns β”‚ Returns β”‚ Returns β”‚ Returns β”‚ Returns β”‚
        β”‚   ($100)  β”‚  +$20   β”‚  +$35   β”‚  +$50   β”‚  +$65   β”‚  +$80   β”‚
        β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
             β”‚         β”‚         β”‚         β”‚         β”‚         β”‚
             β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
                               β”‚
                        Cumulative Cash Flow
                        -$100 β†’ -$80 β†’ -$45 β†’ +$5 β†’ +$70 β†’ +$150
                               β”‚
                        Break-even: Year 3
    

    Key Metrics

    | Metric | Formula | Interpretation | |--------|---------|----------------| | NPV | Ξ£(FCF/(1+r)^t) - Initial Investment | Value created (>0 = good) | | IRR | Rate where NPV = 0 | Return percentage | | Payback | Years to recover investment | Time to break-even | | ROI | (Total FCF - Investment) / Investment | Return percentage |

    Output Process

    1. Define time horizon - Typically 5-10 years 2. Estimate revenue - By year, with assumptions 3. Model costs - OpEx, CapEx, working capital 4. Calculate FCF - For each year 5. Discount to present - Apply discount rate 6. Calculate metrics - NPV, IRR, payback 7. Sensitivity test - Key assumptions 8. Interpret results - Investment decision

    Output Format

    ## Free Cash Flow Analysis: [Project/Business]

    Executive Summary

    | Metric | Value | Assessment | |--------|-------|------------| | NPV | $X M | βœ… Positive / ❌ Negative | | IRR | X% | βœ… > WACC / ❌ < WACC | | Payback Period | X years | βœ… < Target / ❌ > Target | | Maximum Exposure | $X M | Capital at risk | | Break-even Year | Year X | When cash turns positive |

    Recommendation: [Invest / Do not invest / More analysis needed]


    Assumptions

    | Assumption | Value | Source | |------------|-------|--------| | Revenue CAGR | X% | [Basis] | | Operating Margin | X% | [Basis] | | Tax Rate | X% | [Basis] | | Discount Rate (WACC) | X% | [Basis] | | Working Capital % | X% | [Basis] | | CapEx % of Revenue | X% | [Basis] | | Terminal Growth | X% | [Basis] |


    Cash Flow Projections

    | Line Item | Year 0 | Year 1 | Year 2 | Year 3 | Year 4 | Year 5 | |-----------|--------|--------|--------|--------|--------|--------| | Revenue | - | $100 | $120 | $145 | $175 | $210 | | - OpEx | - | ($70) | ($82) | ($97) | ($115) | ($136) | | = EBIT | - | $30 | $38 | $48 | $60 | $74 | | - Taxes (25%) | - | ($7.5) | ($9.5) | ($12) | ($15) | ($18.5) | | = NOPAT | - | $22.5 | $28.5 | $36 | $45 | $55.5 | | + D&A | - | $10 | $12 | $14 | $16 | $18 | | - CapEx | ($50) | ($10) | ($12) | ($14) | ($16) | ($18) | | - Ξ” Working Cap | - | ($5) | ($6) | ($7) | ($8) | ($9) | | = Free Cash Flow | ($50) | $17.5 | $22.5 | $29 | $37 | $46.5 |


    Cumulative Cash Flow

    | Year | FCF | Cumulative | Status | |------|-----|------------|--------| | 0 | ($50) | ($50) | πŸ”΄ Investment | | 1 | $17.5 | ($32.5) | 🟑 Recovery | | 2 | $22.5 | ($10) | 🟑 Near break-even | | 3 | $29 | $19 | 🟒 Break-even achieved | | 4 | $37 | $56 | 🟒 Profitable | | 5 | $46.5 | $102.5 | 🟒 Strong returns |

    Break-even Point: Between Year 2 and Year 3 Maximum Exposure: $50M (Year 0)


    Valuation

    Discounted Cash Flows (WACC = 10%)

    | Year | FCF | Discount Factor | Present Value | |------|-----|-----------------|---------------| | 0 | ($50) | 1.000 | ($50.0) | | 1 | $17.5 | 0.909 | $15.9 | | 2 | $22.5 | 0.826 | $18.6 | | 3 | $29 | 0.751 | $21.8 | | 4 | $37 | 0.683 | $25.3 | | 5 | $46.5 | 0.621 | $28.9 | | Terminal Value | $465* | 0.621 | $288.9 | | NPV | | | $349.4 |

    *Terminal Value = Year 5 FCF Γ— (1 + g) / (WACC - g) = $46.5 Γ— 1.02 / (0.10 - 0.02)


    Sensitivity Analysis

    NPV Sensitivity to Key Assumptions

    | Assumption | -20% | Base Case | +20% | |------------|------|-----------|------| | Revenue | $249M | $349M | $449M | | Operating Margin | $274M | $349M | $424M | | Discount Rate | $412M | $349M | $298M | | Terminal Growth | $299M | $349M | $399M |

    Most Sensitive To: Revenue growth


    Risk Assessment

    | Risk | Probability | Impact | Mitigation | |------|-------------|--------|------------| | Revenue shortfall | Medium | High | Conservative base case | | Cost overruns | Low | Medium | Contingency budget | | Delay in launch | Medium | Medium | Phased approach | | Competition | High | High | Differentiation strategy |


    Visual: Cash Flow Diagram

    ($50) ───────────────────────────────────────────────────── β”‚ β”‚ β”‚ β”‚ β”‚ β”‚ β”‚ β–Ό β–Ό β–Ό β–Ό β–Ό β–Ό β–Ό β”Œβ”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β” β”‚ β”‚ β–‘β–‘β–‘β–‘β–‘β–‘β–‘ β”‚ β–‘β–‘β–‘β–‘β–‘β–‘β–‘ β”‚ β–“β–“β–“β–“β–“β–“β–“ β”‚ β–“β–“β–“β–“β–“β–“β–“ β”‚ β–“β–“β–“β–“β–“β–“β–“ β”‚ β”‚ β”‚Inv β”‚ Returns β”‚ Returns β”‚ Returns β”‚ Returns β”‚ Returns β”‚ TV β”‚ β””β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”˜ Y0 Y1 Y2 Y3 Y4 Y5 β”‚ Break-even (Year 2-3)
    
    Legend:
    
  • β–“β–“β–“ Returns (cash inflows)
  • β–‘β–‘β–‘ Early returns (lower)
  • Inv = Initial investment

  • Decision Criteria

    | Criterion | Target | Actual | Pass? | |-----------|--------|--------|-------| | NPV > 0 | > $0 | $349M | βœ… | | IRR > WACC | > 10% | 45% | βœ… | | Payback < 4 years | < 4 yr | 2.5 yr | βœ… | | Max exposure < $100M | < $100M | $50M | βœ… |

    All criteria met: βœ… Recommend investment

    Tips

  • Be conservative on revenue, realistic on costs
  • Terminal value often dominates - scrutinize carefully
  • Use sensitivity analysis to identify key assumptions
  • Show both undiscounted and discounted cash flows
  • Payback ignores time value of money - use as secondary metric
  • Consider multiple scenarios (base, optimistic, pessimistic)
  • The diagram should tell the story at a glance
  • References

  • Brealey, Myers, Allen. *Principles of Corporate Finance*. Multiple editions.
  • Copeland, Koller, Murrin. *Valuation*. 1994.
  • Damodaran, Aswath. *Investment Valuation*. 2012.
  • πŸ“‹ Tips & Best Practices

  • Be conservative on revenue, realistic on costs
  • Terminal value often dominates - scrutinize carefully
  • Use sensitivity analysis to identify key assumptions
  • Show both undiscounted and discounted cash flows
  • Payback ignores time value of money - use as secondary metric
  • Consider multiple scenarios (base, optimistic, pessimistic)
  • The diagram should tell the story at a glance