How do I perform a reverse DCF to find the market-implied growth rate?
CFA Level II mentions reverse DCF as a way to understand what assumptions are 'baked into' a stock price. Instead of projecting cash flows to find value, you use the current price to back into the implied growth rate. Can someone show me the math with a real-ish example?
A reverse DCF (or implied DCF) works backward from the current market price to determine what growth rate the market is assuming. This is incredibly useful for determining whether a stock's price is realistic.
Logic:
- In a normal DCF: Inputs (growth, margin, WACC) → Output (intrinsic value)
- In a reverse DCF: Output (current price) is known → Solve for the implied growth rate
Step-by-Step Process:
- Take the current market price as given
- Fix all DCF assumptions except growth (keep WACC, margins, capex ratios, working capital assumptions)
- Use the Gordon Growth Model or a multi-stage model
- Solve for the growth rate that makes DCF value = market price
Worked Example — Helios Semiconductor (fictional):
| Given Information | Value |
|---|---|
| Current share price | $85.00 |
| Shares outstanding | 100 million |
| Market cap | $8,500M |
| Net debt | $500M |
| Enterprise value | $9,000M |
| Current FCFF | $350M |
| WACC | 10% |
Using the single-stage FCFF model:
> EV = FCFF_1 / (WACC - g) = FCFF_0 x (1 + g) / (WACC - g)
Plug in EV = $9,000M and FCFF_0 = $350M:
> $9,000 = $350 x (1 + g) / (0.10 - g)
Solve for g:
> $9,000 x (0.10 - g) = $350 + $350g
> $900 - 9,000g = $350 + $350g
> $550 = 9,350g
> g = 5.88%
The market is pricing Helios as if FCFF will grow at 5.88% per year forever.
Is 5.88% Reasonable?
Now ask: Can Helios realistically sustain 5.88% FCFF growth indefinitely?
- Industry (semiconductor): cyclical, capital-intensive, but long-term demand growth in chips
- Company-specific: Helios has 18% market share in automotive chips, growing TAM
- Historical FCFF growth: 8% over the past 5 years
Conclusion: 5.88% seems reasonable but not conservative. The stock is fairly valued if you believe in sustained mid-single-digit growth.
Multi-Stage Reverse DCF:
For more precision, fix Phase 1 growth (e.g., consensus 3-year estimates) and solve for the terminal growth rate:
| Phase | Assumption |
|---|---|
| Years 1-3 FCFF growth | 12% (analyst consensus) |
| Year 4+ terminal growth | Solve for this |
| WACC | 10% |
Project FCFF for Years 1-3 at 12%, calculate PV of those cash flows, and then:
> EV - PV(Phase 1) = Terminal Value
> Terminal Value = FCFF_4 / (WACC - g_terminal)
> Solve for g_terminal
This gives you the long-run growth rate the market is embedding beyond the near-term consensus.
Why Reverse DCF Is Powerful:
- Avoids the 'garbage in, garbage out' problem — instead of forcing your growth assumption, you discover the market's assumption
- Decision tool: If the implied growth is unrealistically high, the stock is overvalued. If it is pessimistic, it is undervalued.
- Sensitivity testing: Run the reverse DCF with different WACC assumptions to see how sensitive the implied growth is to discount rate changes
Exam tip: CFA Level II may present a company's current price, FCFF, and WACC, then ask what growth rate is implied. Use the perpetuity formula and solve algebraically. If it is a multi-stage setup, the question will provide near-term growth and ask for the terminal rate.
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