How sensitive is a FCFF model to the terminal growth rate assumption, and how do I select an appropriate perpetuity growth rate?

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AcadiFi · Accepted Answer

Terminal value sensitivity is the most important issue in any DCF valuation. In most FCFF models, the terminal value accounts for 60-80% of total enterprise value, so a small change in the perpetuity growth rate has an outsized impact. **The Perpetuity Growth Formula** Terminal Value = FCFF(n+1) / (WACC - g) Where: - FCFF(n+1) = normalized free cash flow in the first year of perpetuity - g = perpetuity growth rate - WACC = weighted average cost of capital The denominator (WACC - g) drives the sensitivity. When g increases, this denominator shrinks, and terminal value explodes. **Worked Example — Harland Manufacturing:** Year 5 FCFF = $340 million, WACC = 9.5% | Growth Rate (g) | TV Formula | Terminal Value | % Change from Base | |---|---|---|---| | 1.5% | $345.1M / 8.0% | $4,314M | -20% | | 2.0% | $346.8M / 7.5% | $4,624M | -14% | | **2.5% (base)** | **$348.5M / 7.0%** | **$4,979M** | **—** | | 3.0% | $350.2M / 6.5% | $5,388M | +8% | | 3.5% | $351.9M / 6.0% | $5,865M | +18% | | 4.0% | $353.6M / 5.5% | $6,429M | +29% | A 1.5 percentage point increase in g (from 2.5% to 4.0%) raises the terminal value by 29% — and since TV dominates total EV, the per-share impact is even larger after levering. **Selecting the Growth Rate — Three Guardrails** \`\`\`mermaid flowchart TD A["Select Terminal
Growth Rate"] --> B["Guardrail 1:
≤ Long-Run Nominal GDP"] A --> C["Guardrail 2:
Implied TV Multiple
Is Reasonable"] A --> D["Guardrail 3:
Reinvestment Rate
Is Sustainable"] B --> E["Developed markets: 2-3%
Emerging markets: 3-5%"] C --> F["TV / FCFF should be
15-25x for mature firms"] D --> G["g = ROIC × Reinvestment
Rate must be < 100%"] \`\`\` **Guardrail 1:** No company can grow faster than the economy forever. Use long-run nominal GDP (real GDP + inflation) as the ceiling: 2-3% for developed markets. **Guardrail 2:** Convert TV into an implied exit multiple (TV / EBITDA or TV / FCFF). If the implied multiple exceeds what mature peers trade at, the growth rate is too high. **Guardrail 3:** Sustainable growth = ROIC x reinvestment rate. If your terminal growth rate implies the company must reinvest more than it generates, it is unsustainable. **Practical Tips:** 1. Always present a sensitivity table showing EV across different WACC/g combinations. 2. For cyclical companies, normalize the terminal-year FCFF to mid-cycle margins. 3. Consider using an exit multiple approach as a cross-check on the perpetuity method. 4. Terminal growth rates above 3% in developed-market models should be rigorously justified. Our CFA Level II equity valuation course includes interactive sensitivity analysis tools.

How sensitive is a FCFF model to the terminal growth rate assumption, and how do I select an appropriate perpetuity growth rate?

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