Corporate Valuation & M&A Lab

Free Terminal Value (TV) & DCF Valuation Calculator

Reconcile the Gordon Growth Perpetuity Model and the Exit Multiple Method (EV/EBITDA). Solve for implied perpetuity growth rates, bridge discrete forecast cash flows to total Enterprise Value, and run 6x5 multi-variable valuation sensitivity stress tests.

Launch Valuation Lab FCFF vs. FCFE Lab WACC Calculator Enterprise Value Bridge
DCF Sensitivity Rule
TV = 65% – 85% of EV
Reconciling perpetual growth with exit multiples guarantees that your terminal valuation is grounded in economic reality.

Institutional Valuation Presets

Select an institutional corporate profile to prefill forecast cash flows, hurdle rates, and exit parameters.

Step 1: Discrete Forecast & Terminal Parameters

Valuation Inputs & Exit Assumptions

📊 Discrete 5-Year Forecast & Discount Rate

Cumulative discounted free cash flows over Years 1 through 5: $\sum_{t=1}^5 \frac{\text{FCF}_t}{(1+\text{WACC})^t}$.
Normalized final forecast year FCF ($\text{FCF}_n$).
Normalized final forecast year EBITDA.
%
Weighted Average Cost of Capital.
Number of discrete projection years ($n$).

🚀 Perpetuity Growth vs. Exit Multiple

%
Long-term sustainable perpetual growth rate (should not exceed expected nominal GDP growth of 2.0% - 3.5%).
x
Peer-comparable transaction or trading exit multiple applied to normalized Year 5 EBITDA.

💡 Institutional Reconciliation Insight:

The Gordon Growth Model and Exit Multiple Method should be viewed together. The calculator automatically calculates the Implied Perpetuity Growth Rate embedded in your exit multiple to ensure the multiple is defensible against macroeconomic constraints.

Step 2: Valuation Reconciliations & Enterprise Value Bridge

Terminal Valuation & DCF Bridge Summary

HARMONIZED VALUATION
Nominal TV (Gordon Growth)
$120.1M
Nominal value at Year 5
Present Value of TV (GGM)
$76.3M
Discounted at 9.50% WACC
Total Enterprise Value (GGM)
$104.8M
PV Discrete + PV Terminal
Terminal Value % of Total EV
72.8%
Typical range: 65% – 85%
Nominal TV (Exit Multiple)
$112.5M
9.00x Year 5 EBITDA
Present Value of TV (Multiple)
$71.5M
Discounted at Year 5 factor
Total Enterprise Value (Multiple)
$100.0M
PV Discrete + PV Exit TV
Implied Perpetuity Growth Rate ($g$)
2.04%
Reconciled against 9.50% WACC
Valuation Component Gordon Growth Model ($g = 2.50\%$) Exit Multiple Method ($9.00\text{x}$) Variance / Spread ($)
PV of Discrete 5-Year Cash Flows $28,500,000 $28,500,000 $0
Terminal Year Cash Flow Basis Year 5 FCF: $8,200,000 Year 5 EBITDA: $12,500,000 —
Nominal Terminal Value at $t=5$ $120,071,429 $112,500,000 -$7,571,429 (-6.3%)
Present Value Factor ($(1 + \text{WACC})^{-5}$) 0.6353 0.6353 —
Discounted Present Value of Terminal Value $76,281,424 $71,466,543 -$4,814,881
Total Enterprise Value (TEV) $104,781,424 $99,966,543 -$4,814,881 (-4.6%)
Terminal Value % of Total Enterprise Value 72.80% 71.49% -1.31%
Cross-Model Reconciled Growth / Multiple Implied Exit Multiple: 9.61x Implied Perpetuity Rate: 2.04% Economic Alignment High

Step 3: Multi-Variable Valuation Sensitivity Matrices

WACC vs. Perpetuity Growth ($g$) & Exit Multiple Stress Tests

Perpetuity Model TEV ($M): WACC vs. Long-Term Growth Rate ($g$)

Total Enterprise Value ($M) across varying discount rates (columns) and perpetuity growth rates (rows).

Exit Multiple TEV ($M): WACC vs. Exit EV/EBITDA Multiple

Total Enterprise Value ($M) across varying discount rates (columns) and exit EBITDA multiples (rows).

Corporate Finance Methodology

Terminal Value Valuation Formulas & Cross-Model Mechanics

1. Gordon Growth Model (Perpetuity Growth)

The Gordon Growth Model assumes free cash flows grow in perpetuity at a constant rate $g$, discounted back at the corporate cost of capital ($\text{WACC}$):

$$\text{Terminal Value}_n = \frac{\text{FCF}_n \times (1 + g)}{\text{WACC} - g} = \frac{\text{FCF}_{n+1}}{\text{WACC} - g}$$ $$\text{PV of Terminal Value} = \frac{\text{Terminal Value}_n}{(1 + \text{WACC})^n}$$

Constraint: The perpetual growth rate $g$ must be strictly less than $\text{WACC}$. In real-world institutional underwriting, $g$ should never exceed long-term sustainable nominal GDP growth (2.0% – 3.5%).

2. Exit Multiple Method & Implied Growth Solver

The Exit Multiple Method benchmarks the terminal value against current peer transaction multiples applied to the final projected EBITDA:

$$\text{Terminal Value}_n = \text{EBITDA}_n \times (\text{EV / EBITDA Multiple})$$ $$g_{\text{implied}} = \frac{\text{TV}_n \times \text{WACC} - \text{FCF}_n}{\text{TV}_n + \text{FCF}_n}$$

Institutional Cross-Check: By setting the Exit Multiple Terminal Value equal to the Gordon Growth formula, we algebraically solve for the implied perpetuity growth rate. If an exit multiple implies $g > 4.5\%$, the exit assumption is aggressive and risks multiple expansion bias.

Frequently Asked Questions

Terminal Value & DCF Valuation Guidance

Terminal Value represents the estimated present or nominal value of a business's expected future cash flows beyond the explicit discrete forecast period (typically 5 or 10 years). In most DCF valuations, Terminal Value accounts for 65% to 85% of the total Enterprise Value, making the choice of terminal assumptions the single largest driver of asset valuation.

The two standard institutional approaches are the Gordon Growth Perpetuity Model (which assumes free cash flow grows indefinitely at a constant sustainable rate, g, lower than long-term GDP growth) and the Exit Multiple Method (which applies a prevailing peer industry EV/EBITDA or EV/EBIT multiple to the final forecast year's operating earnings).

When using an exit EBITDA multiple, the implied perpetuity growth rate is the perpetual growth rate, g, that yields the exact same terminal value dollar amount under the Gordon Growth formula. Comparing this implied rate against long-term GDP growth (typically 2% to 3.5%) prevents unrealistic exit assumptions and guards against ungrounded valuation multiples.

Under the Gordon Growth equation, TV = FCF * (1 + g) / (WACC - g). If the perpetual growth rate g were equal to or greater than WACC, the denominator would become zero or negative, creating a mathematically undefined or negative valuation. Economically, no individual company can grow faster than its cost of capital or the global economy indefinitely.

Yes. You can download the complete nominal terminal cash flows, present value bridges, perpetuity vs exit multiple comparison, implied growth solvers, and 6x5 sensitivity matrices as a UTF-8 CSV spreadsheet with formula defense.
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