Why Use More Than One Valuation Method?
A discounted cash-flow model and a market-multiple analysis answer related but different questions. A cash-flow model estimates value from the cash flows an asset is expected to generate and the risk-adjusted rate used to discount them. A relative valuation asks what investors currently pay for comparable financial measures, either at peer companies or at the subject company in an earlier period. Using both can expose assumptions that one method alone might conceal.
The methods need not produce the same estimate. A cash-flow model can reflect a specific forecast of operating performance and a selected discount rate. A peer multiple also reflects the market’s expectations for the peer group, including growth, risk, accounting practices, and market conditions. Historical multiples reflect a different set of market conditions and may relate to a different stage in the subject company’s development. A gap is therefore a question to investigate, not a result to eliminate automatically.
This analysis is most useful when every estimate refers to the same valuation date, the same subject business and capital structure, and a consistent financial measure. In particular, an enterprise-value estimate must be compared with other enterprise-value estimates before applying an enterprise-value bridge. A common equity value per share is a different claim and requires that bridge.
Make the Estimates Comparable
Before combining estimates, check what each one measures. A DCF using free cash flow to the firm (FCFF) produces an estimate of enterprise value (EV), because FCFF is cash flow available to debt and equity capital providers. An EV/EBITDA multiple also produces EV when applied to EBITDA. By contrast, a price-to-earnings multiple produces an equity value when applied to earnings attributable to common shareholders. Mixing these outputs without reconciling the claims can create a misleading comparison.
Relative estimates also require a consistent denominator. A forward EV/EBITDA multiple should be applied to a forward EBITDA measure defined on the same basis, rather than to an unrelated historical figure. Peer multiples may need adjustments for differences in business mix, growth prospects, risk, accounting definitions, and capital intensity. Historical multiples need context too: a company’s earlier multiple may reflect a different growth outlook, interest-rate environment, or business mix.
An EV estimate is commonly translated to common equity value by subtracting debt and other senior claims included in the valuation convention, then adding cash and other nonoperating assets that belong to equity holders but were excluded from operating value. In a simplified case with only debt and excess cash, common equity value equals EV minus debt plus cash. Per-share value is common equity value divided by diluted shares on a consistent share-count basis. The precise bridge must reflect the claims and assets relevant to the case.
Intrinsic Value and Relative Value: A Short Derivation
For an FCFF DCF, the present value of forecast cash flows is the cash-flow-based estimate of the operating business. If explicit forecasts cover years 1 through \(n\), and a terminal value \(TV_n\) represents value after year \(n\), discounting each amount at the selected WACC gives:
The reason is the time value of money: a dollar received at time \(t\) has a time-zero value of that dollar divided by the accumulation factor \((1+WACC)^t\). Adding the discounted explicit cash flows and discounted terminal value therefore expresses all included operating cash flows in time-zero dollars. This result depends on the forecast cash flows and discount rate being consistent with one another. For example, cash flows to the firm should be discounted at a rate appropriate to all providers of firm capital; it would be inconsistent to discount them using a rate intended only for common equity.
A relative estimate starts from a market multiple. If the selected peer EV/EBITDA multiple is \(M\) and the subject company’s comparable EBITDA is \(EBITDA_s\), the implied EV is:
This multiplication translates the market’s observed price per unit of the chosen financial measure into an implied value for the subject. It is not a separate law of value: the result is only as defensible as the selected multiple and the comparability of the subject measure. The multiple embodies market expectations, while the DCF states a set of cash-flow and discount-rate assumptions more explicitly. That difference helps explain why their estimates can diverge.
Worked Example: DCF Estimate and Equity Bridge
Worked Example: DCF Estimate and Equity Bridge
A hypothetical firm has forecast FCFF of $10 million, $12 million, and $14 million at the ends of years 1, 2, and 3. Its terminal value at the end of year 3 is estimated at $206 million. Use a WACC of 10% per year. At the valuation date, debt is $35 million, excess cash is $0, and diluted shares are 20 million. Estimate EV and common equity value per share. Round the final per-share value to the nearest cent.
Method. Discount each FCFF and the terminal value to the valuation date at the stated WACC, add the present values to obtain EV, and then bridge EV to common equity value.
The discount factors for years 1, 2, and 3 are \(1/1.10=0.9090909\), \(1/1.10^2=1/1.21=0.8264463\), and \(1/1.10^3=1/1.331=0.7513148\). Keeping the unrounded factors for the calculations gives:
All amounts above are in millions of dollars. Adding the four present values gives \(EV_0=9.090909+9.917355+10.518407+154.770849=184.297520\), or approximately $184.297521 million using unrounded amounts. With no excess cash and $35 million of debt, common equity value is \(184.297521-35=149.297521\) million. Dividing by 20 million diluted shares gives \(149.297521/20=7.464876\) dollars per share. Rounded to the nearest cent, the estimate is $7.46 per share.
Check. The equity value is below EV by exactly the $35 million debt claim, and the per-share value multiplied by 20 million shares is approximately $149.30 million. Common mistake avoided: using a rounded discount factor inconsistently or miscalculating the terminal-value product can shift the final result. The terminal value here is \(206/1.331\), not a rounded-factor product with a different value.
Explain Differences Before Combining Estimates
When methods yield different values, first determine whether the difference comes from a mismatch in inputs or from a meaningful difference in assumptions. Common explanations include:
- Growth and margins: A DCF forecast may assume faster growth or higher margins than the peer group appears to support. A relative multiple may also reflect expectations that differ from the analyst’s explicit forecast.
- Risk and discount rate: A higher WACC reduces the present value of future cash flows. A peer multiple may reflect a different risk profile or market perception of risk.
- Cash-flow timing and investment: EBITDA does not directly deduct capital expenditure, working-capital investment, or cash taxes. EV/EBITDA and FCFF DCF can therefore imply different values, particularly for businesses with substantial reinvestment needs.
- Market conditions: Peer and historical multiples are observed in particular market environments. They may not reflect the analyst’s view of long-term fundamentals or the conditions on the valuation date.
- Measurement choices: Accounting differences, unusual items, forecast periods, and diluted share counts can make apparently similar denominators inconsistent.
The earlier material on comparable-company selection and accounting differences is relevant here: a peer set is evidence, not proof that its observed multiple fits the subject. Similarly, a historical multiple is a reference point, not a guarantee that the company should return to that level. A well-supported analysis states which estimates are more informative and why.
Worked Example: Peer and Historical Multiple Estimates
Worked Example: Peer and Historical Multiple Estimates
A hypothetical firm has normalized forward EBITDA of $24 million. Three selected peers have EV/EBITDA multiples of 7.6, 8.0, and 8.4. The subject firm’s selected historical EV/EBITDA multiple is 7.5, based on a period the analyst judges relevant after reviewing differences in business mix. Estimate EV using the median peer multiple and the historical multiple, then compare the results. Amounts are in millions of dollars.
Method. Apply each EV/EBITDA multiple to the same $24 million forward EBITDA measure. The peer multiples in ascending order are 7.6, 8.0, and 8.4, so their median is 8.0.
The peer-based estimate is \(8.0\times24=192\) million. The historical-multiple estimate is \(7.5\times24=180\) million. The gap is \(192-180=12\) million. Relative to the historical estimate, that is \(12/180=0.0666667\), or 6.67% to two decimal places.
The peer estimate is higher because the selected peer multiple is higher; both calculations use the same EBITDA basis, so the difference is not caused by changing the denominator. It may reflect different market expectations, differences between the peer group and subject, or the conditions during the historical period. The analyst should evaluate those explanations before choosing how much weight, if any, to place on either estimate. Check. Dividing each EV estimate by $24 million recovers its multiple: \(192/24=8.0\) and \(180/24=7.5\). Common mistake avoided: applying one multiple to historical EBITDA and the other to forward EBITDA, then attributing the resulting gap solely to the multiple.
Combining Estimates and Defending a Range
A weighted estimate can summarize several methods, but its weights are judgments about the relevance and reliability of the evidence. They are not probabilities that an estimate is correct, nor do they turn a set of estimates into a statistically guaranteed value. An analyst might give a DCF more weight when forecasts are well supported, or peer multiples more weight when suitable comparables are available and market pricing is especially relevant.
A defensible range is often more informative than a single point estimate. It can be anchored by method-specific estimates that have been checked for comparability, with a central estimate explained in terms of the relative evidential strength of the methods. A range should not conceal incompatible assumptions: if one method is based on a different valuation date or claim, align it or explain why it cannot be included.
Worked Example: A Weighted Estimate and Per-Share Range
Worked Example: A Weighted Estimate and Per-Share Range
Use the DCF EV of $184.297521 million from the first example, the peer EV of $192 million, and the historical-multiple EV of $180 million from the second example. For this hypothetical analysis, assign weights of 50% to the DCF, 30% to the peer estimate, and 20% to the historical estimate. The subject has $35 million of debt, $5 million of excess cash, and 20 million diluted shares. Calculate the weighted EV, its per-share estimate, and the per-share range implied by the lowest and highest of the three EV estimates. Round final per-share values to the nearest cent.
Method. Multiply each EV by its stated weight and add the weighted amounts. Then subtract debt, add excess cash, and divide by diluted shares. For the range, apply the same bridge to the low and high EV estimates.
The weighted EV is \(0.50(184.297521)+0.30(192)+0.20(180)\). The three contributions are \(92.1487605\), \(57.6\), and \(36\) million, respectively. Their sum is \(185.7487605\) million, or approximately $185.748761 million.
The net deduction from EV is debt minus excess cash, \(35-5=30\) million. Thus common equity value at the weighted estimate is \(185.748761-35+5=155.748761\) million. Dividing by 20 million shares gives \(155.748761/20=7.787438\) dollars per share, or $7.79 to the nearest cent.
The lowest EV estimate is $180 million and the highest is $192 million. The low-end common equity value is \(180-35+5=150\) million, giving \(150/20=$7.50\) per share. The high-end common equity value is \(192-35+5=162\) million, giving \(162/20=$8.10\) per share. The implied range is therefore $7.50 to $8.10 per share.
Check. The weighted EV, $185.748761 million, lies between $180 million and $192 million, as it must for positive weights that sum to 100%. The per-share estimate also lies within the stated range. Common mistake avoided: subtracting debt from EV but forgetting to add excess cash, or averaging per-share values that were calculated using inconsistent share counts.
Common Mistakes in Triangulation
- Combining unlike claims. An EV estimate and an equity value estimate are not interchangeable. Convert them to the same claim before comparing them.
- Changing the denominator without explanation. A forward multiple applied to a historical measure does not represent the same comparison as the original multiple.
- Treating an average as objective. A weighted average depends on chosen weights. State why the weights reflect the relative quality of the evidence.
- Calling the range a confidence interval. A range formed from valuation methods is an analytical range, not a statistical confidence interval unless a separate statistical model justifies that interpretation.
- Ignoring the equity bridge. A higher EV does not necessarily imply the same increase in per-share value when debt, excess cash, other claims, or diluted shares differ.
Check Your Understanding
For each problem, keep the claim, financial measure, and per-share bridge consistent. Amounts are in millions of dollars unless stated otherwise.
- A hypothetical firm has FCFF of $8 million at the end of year 1 and $10 million at the end of year 2. Its terminal value at the end of year 2 is $125 million. Use a WACC of 8% per year. Debt is $20 million, excess cash is $3 million, and diluted shares are 14 million. Find EV and common equity value per share, rounded to the nearest cent. (Answer: EV is approximately $123.148 million and value per share is $7.58.)
- A subject company has forward EBITDA of $16 million. A selected peer EV/EBITDA multiple is 6.5. Debt is $22 million, excess cash is $4 million, and diluted shares are 8 million. Find implied EV and common equity value per share. (Answer: EV is $104 million and value per share is $10.75.)
- A valuation team estimates EV at $130 million from DCF, $150 million from peers, and $140 million from historical multiples. It assigns weights of 50%, 30%, and 20%, respectively. Debt is $25 million, excess cash is $7 million, and diluted shares are 12 million. Find weighted EV and per-share value. (Answer: weighted EV is $138 million and value per share is $10.00.)
- A hypothetical firm has sales of $50 million and EBITDA of $15 million. Its DCF EV estimate is $114 million. A peer EV/EBITDA multiple of 8 implies a second EV estimate; a historical EV/sales multiple of 2.2 implies a third. Use weights of 50% for DCF, 30% for peers, and 20% for historical multiples. Debt is $18 million, excess cash is $3 million, and diluted shares are 10 million. Find weighted EV, per-share value, and the range of per-share values from the lowest and highest method estimates. (Answer: the estimates are $114 million, $120 million, and $110 million; weighted EV is $115 million, per-share value is $10.00, and the range is $9.50 to $10.50.)
- A DCF produces EV of $210 million, while a peer multiple produces EV of $196 million. Both use the same valuation date and EV claim, but the DCF assumes materially higher long-term operating margins than the peer group. State one reason the estimates differ and one check needed before combining them. (Answer: The DCF’s higher assumed margins can support higher cash flows and EV; check whether the margin difference is supported by the subject’s operating outlook and whether both estimates use consistent financial-measure definitions and forecast bases.)