Terminal Value Cross-Check
Because terminal value dominates a DCF, a careful analyst computes it two ways and compares. The perpetuity method uses the Gordon growth model, capitalising the next period’s cash flow at the WACC minus a stable growth rate. The exit-multiple method applies a market multiple, typically EV/EBITDA, to the firm’s EBITDA at the end of the planning period. When the two land close together, each validates the other and confidence rises. When they diverge sharply, the gap exposes an aggressive growth rate or an off-market multiple that needs revisiting. The exit-multiple is more market-anchored, the perpetuity more assumption-driven.
Why it matters
Terminal value is where a DCF is most easily fudged, so it pays to attack it from two angles. The perpetuity asks what the cash stream is worth if it grows steadily forever. The exit multiple asks what a buyer in the market would actually pay for the business at that point, using comparable EBITDA multiples. The GRC case in the slides shows the comfort this brings. The Gordon method gave about US$100m and the EBITDA-multiple method about US$101m, so close that each confirmed the other. A wide divergence would have flagged a bad assumption instead.
Formulas
Worked examples
At the end of the planning period a firm has FCFF of US$6.2m and EBITDA of US$21m. Stable growth is 2 percent, the WACC is 8.8 percent, and comparable firms trade at 6.0 times EBITDA. Do the two terminal values agree?
Perpetuity method, next year’s cash flow is US$6.2m times 1.02, which is US$6.32m, divided by 0.088 minus 0.02, that is 0.068, giving about US$93m. Exit-multiple method, US$21m of EBITDA times 6.0 is US$126m. Here the two diverge, which is the signal to investigate. Either the 2 percent perpetual growth understates the firm’s steady state or the 6.0 times multiple is rich for its growth and risk. The cross-check has done its job by exposing a tension the analyst must resolve before trusting the number.
Common mistakes
- ✗The perpetuity and exit-multiple methods should give identical answers. They use different logic, so they rarely match exactly. The point is to see whether they are close, not equal.
- ✗The exit-multiple method needs no judgement. Choosing the right comparable multiple is itself a judgement about peer growth, risk and the point in the cycle.
- ✗If the two disagree, pick the higher one. Disagreement is a flag to revisit the assumptions, not a licence to choose the more flattering number.
- ✗A market multiple is free of growth assumptions. A multiple embeds the market’s own growth and risk expectations, so it is assumption-laden, just less explicitly than the Gordon model.
Revision bullets
- •Terminal value dominates a DCF, so compute it two ways
- •Perpetuity uses the Gordon growth model on next period’s cash flow
- •Exit-multiple applies an EV/EBITDA multiple to horizon EBITDA
- •Close agreement validates both, wide divergence flags an assumption
- •The exit-multiple is market-anchored, the perpetuity assumption-driven
- •In the GRC case the two methods landed near US$100m and US$101m
Quick check
The exit-multiple method estimates terminal value by
If the perpetuity and exit-multiple terminal values diverge sharply, the right response is to
Connected topics
Sources
- Titman & Martin, Ch. 9Titman, S., & Martin, J. D. Valuation: The Art and Science of Corporate Investment Decisions. Pearson.Presents both the Gordon-growth and EBITDA-multiple routes to terminal value and the hybrid cross-check.
- Lie & Lie (2002), FAJLie, E., & Lie, H. J. "Multiples Used to Estimate Corporate Value." Financial Analysts Journal, 58(2), 2002, pp. 44-54.Evidence on the behaviour of valuation multiples used as a market-based terminal-value benchmark.