Gordon Growth vs Exit Multiple: How to Cross-Check Your DCF Terminal Value
7 min read
If you've built a DCF, you know the uncomfortable truth: most of your valuation comes from the terminal value. Often well over half of it. So when an interviewer asks, "How do you know your terminal value makes sense?", they're testing whether you actually understand the model or just memorized the formulas.
The answer is simple once you see it: you calculate terminal value one way, then back out what it implies under the other method. This post walks you through both methods, the two cross-check formulas, and a full worked example you can rebuild in Excel in ten minutes.
Why Terminal Value Deserves Extra Scrutiny
A DCF projects free cash flows for a few years (usually 5 to 10), then needs a single number for everything after that. That number is the terminal value (TV).
Because it captures every year beyond your forecast, small assumption changes swing it hard. A half-point change in growth or a one-turn change in a multiple can move your enterprise value by a lot.
That's exactly why bankers never trust one method on its own.
The Two Methods in 60 Seconds
Gordon Growth (Perpetuity Growth) Method
You assume the company's free cash flow grows at a constant rate forever.
TV = FCF in Year N+1 / (WACC − g)
Where:
- FCF in Year N+1 = final projected year's unlevered FCF × (1 + g)
- WACC = discount rate
- g = perpetual growth rate, which must be below WACC
This method is grounded in theory: it values the business on its own cash flows.
Exit Multiple Method
You assume the company is "sold" at the end of the forecast period for a multiple of some metric, usually EBITDA.
TV = Final Year EBITDA × Exit Multiple
The multiple usually comes from trading comps or precedent transactions. This method is grounded in the market: it values the business like investors value similar companies today.
Quick Comparison
| Gordon Growth | Exit Multiple | |
|---|---|---|
| Based on | Intrinsic cash flows | Market pricing |
| Key input | Perpetual growth rate | EV/EBITDA multiple |
| Main weakness | Very sensitive to g and WACC | Imports today's market mood into a value far in the future |
| Who loves it | Academics, equity research | Bankers, PE investors |
The Big Idea: Each Method Implies the Other
Here's the key insight. Whichever method you use, the resulting TV implies a value for the other method's key input.
- Use Gordon Growth → back out the implied exit multiple
- Use an exit multiple → back out the implied perpetual growth rate
If the implied number looks crazy, one of your assumptions is off. That's the whole cross-check.
The Two Formulas You Need
Implied Exit Multiple (from Gordon Growth)
Implied Multiple = TV (Gordon Growth) / Final Year EBITDA
That's it. Just divide.
Implied Growth Rate (from Exit Multiple)
Start from the Gordon formula and solve for g:
g = (TV × WACC − Final Year FCF) / (TV + Final Year FCF)
Here, "Final Year FCF" is Year N's FCF (not grown), and TV is the value you got from the exit multiple method.
If you want to see where it comes from:
- TV = FCF × (1 + g) / (WACC − g)
- TV × WACC − TV × g = FCF + FCF × g
- TV × WACC − FCF = g × (TV + FCF)
- g = (TV × WACC − FCF) / (TV + FCF)
Knowing this derivation is a nice flex if an interviewer pushes you.
Worked Example: Running Both Methods
Let's use one simple company.
Assumptions:
- Year 5 unlevered FCF: $100m
- Year 5 EBITDA: $200m
- WACC: 10%
- Perpetual growth rate: 3%
- Exit multiple (from comps): 9.0x EBITDA
- Projected FCF, Years 1 to 5: $80m, $85m, $90m, $95m, $100m
Step 1: Gordon Growth Terminal Value
- FCF in Year 6 = $100m × 1.03 = $103m
- TV = $103m / (10% − 3%) = $103m / 0.07 = $1,471m
Step 2: Implied Exit Multiple
- $1,471m / $200m = 7.4x Year 5 EBITDA
So your 3% growth assumption is saying the business is "worth" about 7.4x EBITDA at the end of Year 5.
Step 3: Exit Multiple Terminal Value
- TV = $200m × 9.0x = $1,800m
Step 4: Implied Perpetual Growth Rate
- g = ($1,800m × 0.10 − $100m) / ($1,800m + $100m)
- g = ($180m − $100m) / $1,900m
- g = $80m / $1,900m = 4.2%
Check it: $100m × 1.042 / (0.10 − 0.042) ≈ $104.2m / 0.058 ≈ $1,800m. It ties.
Step 5: See the Impact on Enterprise Value
Discount everything at 10% (end-of-year convention, Year 5 discount factor = 1.1^5 ≈ 1.6105):
- PV of Years 1 to 5 FCF ≈ $72.7m + $70.2m + $67.6m + $64.9m + $62.1m ≈ $337.6m
- PV of Gordon TV ≈ $1,471m / 1.6105 ≈ $913.6m
- PV of Exit Multiple TV ≈ $1,800m / 1.6105 ≈ $1,117.7m
| Gordon Growth | Exit Multiple | |
|---|---|---|
| PV of forecast FCF | $337.6m | $337.6m |
| PV of TV | $913.6m | $1,117.7m |
| Enterprise Value | $1,251m | $1,455m |
| TV as % of EV | ~73% | ~77% |
A roughly $200m gap from one assumption. That's why the cross-check matters.
How to Read the Results
So which one is "right"? Neither, automatically. The cross-check tells you where to look.
Red Flags on the Implied Growth Rate
- Implied g at or above WACC: mathematically broken. Your multiple is way too high for your discount rate.
- Implied g well above long-run economic growth: no company outgrows the economy forever. Many developed-market models keep perpetual growth somewhere around 2% to 4%, so 4.2% in our example deserves a second look.
- Implied g negative for a healthy business: your multiple is probably too low.
Red Flags on the Implied Multiple
- Way below current comps: your growth rate may be too conservative, or your WACC too high.
- Way above current comps: your growth rate may be too aggressive.
In our example, 7.4x vs 9.0x comps suggests the market is pricing in more growth (or lower risk) than our 3% / 10% assumptions capture. A good analyst would ask why.
Why the Two Methods Often Disagree
Don't panic when they don't match. There are real reasons:
- Comps reflect today's market. If valuations are elevated right now, applying that multiple to Year 5 assumes the party continues.
- The company may not be in steady state yet. If it's still growing fast in Year 5, a market multiple bakes in that extra growth, while Gordon Growth assumes it slows immediately to g.
- WACC choice. A higher WACC shrinks the Gordon TV, widening the gap.
The fix is usually to adjust assumptions until both methods tell a believable story, or to extend the forecast so the business reaches a steadier state before the terminal year.
Common Mistakes That Wreck the Cross-Check
- Forgetting to grow FCF by one year. Gordon Growth uses Year N+1 FCF, not Year N.
- Mixing LTM and NTM multiples. If your comps multiple is forward-looking (NTM), apply it to Year N+1 EBITDA, not Year N. Be consistent when calculating the implied multiple too.
- Using levered FCF with an EV multiple. EV/EBITDA gives you an enterprise value, so pair it with unlevered FCF and WACC.
- Inconsistent discounting. If you use the mid-year convention, be deliberate about how you discount each TV. Many practitioners discount the exit multiple TV at the full Year N (a sale at year-end) while the Gordon TV follows the cash flow timing. Whatever you choose, apply it intentionally and explain it.
- Ignoring sensitivity tables. Always show a grid of WACC vs g and WACC vs exit multiple. It shows the range, not just a point estimate.
How to Nail This in an Interview
"Which method usually gives a higher value?"
"There's no fixed rule. It depends on the inputs. But in practice, exit multiples from current comps often produce a higher value than a conservative perpetual growth rate, especially when markets are pricing in strong growth. That's why I'd always cross-check the implied growth rate."
"How would you sanity-check your terminal value?"
"I'd calculate it with one method and back out the implied input of the other. If I used Gordon Growth, I'd divide the TV by final-year EBITDA to get the implied multiple and compare it to comps. If I used an exit multiple, I'd solve for the implied growth rate and make sure it's below WACC and reasonable relative to long-term economic growth."
"Walk me through the implied growth formula."
Give the formula, then explain it's just the Gordon equation rearranged to solve for g. Bonus points if you can do the algebra out loud.
The Takeaway
Gordon Growth and the exit multiple aren't rivals. They're two lenses on the same number. One asks, "What do the cash flows justify?" The other asks, "What would the market pay?"
The best analysts run one, back out the other, and keep adjusting until both answers make sense. Practice the worked example above until you can do it on a whiteboard, and you'll handle any terminal value question an interviewer throws at you.