The role of DCF in valuation

Roberto Restelli

In this article, Roberto RESTELLI (ESSEC Business School, Master in Finance (MiF), 2025–2026) explains the role of discounted cash flow (DCF) within the broader toolkit of company valuation—when to use it, how to build it, and where its limits lie.

Introduction to company valuation

Valuation is the process of determining the value of any asset, whether financial (for example, shares, bonds or options) or real (for example, factories, office buildings or land). It is fundamental in many economic and financial contexts and provides a crucial input for decision-making. In particular, the importance of proper company valuation emerges in the preparation of corporate strategic plans, during restructuring or liquidation phases, and in extraordinary transactions such as mergers and acquisitions (M&As). Company valuations are also useful in regulatory and tax contexts (for example, transfers of ownership stakes or determining value for tax purposes). Entrepreneurs and investors can evaluate the economic attractiveness of strategic options, including selling or acquiring corporate assets.

The need for a company valuation typically arises to answer three questions: Who needs a valuation? When is it necessary? Why is it useful?

Users and uses of company valuation

Different categories rely on valuation. In investment banks, Equity Capital Markets use it for IPO research and coverage (including fairness opinions), while M&A teams analyze transactions and prepare fairness opinions to inform deal decisions. In Private Equity and Venture Capital, valuation supports majority/minority acquisitions, startup assessments, and LBOs. Strategic investors use it for acquisitions or divestitures, stock‑option plans, and financial reporting. Accountants and appraisal experts (CPAs) prepare fairness opinions, tax valuations, technical appraisals in legal disputes, and arbitration advisory.

Beyond these, regulators and supervisory bodies (e.g., the SEC in the U.S., CONSOB in Italy) require precise valuations to ensure market transparency and investor protection. Corporate directors and managers need valuations to define growth strategies, allocate capital, and monitor performance. Courts and arbitrators request valuations in disputes involving contract breaches, expropriations, asset divisions, or shareholder conflicts. Owners of SMEs—backbone of the Italian economy—use valuations to set sale prices, manage generational transfers, or attract investors.

Examples of valuation

Valuations appear in equity research (e.g., a UBS report on Netflix indicating a short‑ to medium‑term target price based on public information), in M&A deal analyses (including subsidiary valuations and group structure changes), and in fairness opinions (e.g., Volkswagen’s acquisition of Scania). They are central in IPOs to set offer prices and expectations. Banks also rely on valuations in lending decisions to assess enterprise value and credit risk, clarifying the allocation of requested capital.

Core competencies in valuation

High‑quality valuation requires business and strategy foundations (industry analysis, competitive context, business‑model strength), theoretical and technical finance (NPV, pricing models, corporate cash‑flow modeling), and economic theory (uncertainty vs. value and limits of standard models). Valuation is not just technique: it balances modeling choices with empirical evidence and fit‑for‑purpose estimates.

A fundamental principle is that a firm’s value is driven by its ability to generate future cash flows, which must be estimated realistically and paired with an appropriate risk assessment. Higher uncertainty in cash‑flow estimates implies a higher discount rate and a lower present value. Discount‑rate choice depends on the model (e.g., CAPM for systematic risk via beta). Sustainability also matters: modern practice increasingly integrates environmental, social, and governance (ESG) factors—climate risk, regulation, and reputation—into valuation.

General approaches and specific methods

Income Approach. Present value of future benefits, risk‑adjusted and long‑term (e.g., discounted cash flows).
Market Approach. Value estimated by comparing to similar, already‑traded assets.
Cost (Asset‑Based) Approach. Value derived by remeasuring assets/liabilities to current condition.

Within these, DCF is among the most studied and used. It can be computed from the asset perspective via free cash flow to the firm (FCFF) or from the equity perspective via free cash flow to equity (FCFE). Under the asset‑based approach, other methods include net asset value and liquidation value. Additional families include economic profit (e.g., EVA, residual income) and market‑based analyses: trading multiples (e.g., P/E, EV/EBITDA), deal multiples, and premium analysis (control premia). Four further techniques often considered are current market value (market capitalisation), real options (valuing flexible investment opportunities), broker/analyst consensus, and LBO analysis (value supported by leveraged acquisition capacity).

Critical aspects and limits of valuation models

Each method has strengths and limits. In DCF, accuracy depends on projection quality; macro cycles can render forecasts unreliable. In market‑multiple analysis, industry/geography differences and poor comparables can distort results. Real options are powerful for uncertainty but require subjective parameters (e.g., volatility), introducing error bands.

Practical applications of company valuation

Firms use valuation to plan growth, allocate capital, and budget projects. In disputes and restructurings, it informs liquidation values and creditor negotiations. It also supports governance and incentives (e.g., option plans) that align managers with shareholders. In short, valuation enables both day‑to‑day management and extraordinary decisions.

Discounted Cash Flow (DCF)

What is a DCF?

The discounted cash flow (DCF) method values a company by forecasting and discounting future cash flows. Originating with John Burr Williams (The Theory of Investment Value), DCF seeks intrinsic value by projecting cash flows and applying the time value of money: one euro today is worth more than one euro tomorrow because it can be invested.

Advantages include accuracy (when inputs are sound) and flexibility (applicable across firms/projects). Risks include reliance on uncertain projections and difficulty estimating both discount rates and cash flows; hence outputs are estimates and should be complemented with other methods.

Uses of DCF

DCF is widely applied to value companies, analyse investments in public firms, and support financial planning. The five fundamental steps are:

  1. Estimate expected future cash flows.
  2. Determine the growth rate of those cash flows.
  3. Calculate the terminal value.
  4. Define the discount rate.
  5. Discount future cash flows and the terminal value to the present.

DCF components.
 DCF components
Source: author.

Discounted cash flow formula (with a perpetuity‑growth terminal value):

DCF = CF1 / (1 + r)1 + CF2 / (1 + r)2 + … + CFT / (1 + r)T + (CFT+1 / (r – g)) · 1 / (1 + r)T

Where CFt are cash flows in year t, r is the discount rate, and g is the long‑term growth rate.

Building a DCF

Start from operating cash flow (cash‑flow statement) and typically move to free cash flow (FCF) by subtracting capital expenditures. Example: if operating cash flow is €30m and capex is €5m, FCF = €25m. Project future FCF using growth assumptions (e.g., if 2020 FCF was €22.5m and 2021 FCF €25m, growth is ~11.1%). Use near‑term high‑growth and longer‑term fade assumptions to reflect maturation.

Determining the terminal value

The terminal value represents long‑term growth beyond the explicit forecast. A common formula is:

Terminal Value = CFT+1 / (r – g)

Ensure g is consistent with long‑run economic growth and the firm’s reinvestment needs.

Defining the discount rate

The discount rate reflects risk. Common choices include the risk‑free government yield, the opportunity cost of capital, and the WACC (weighted average cost of capital). In equity‑side models, CAPM is often used to estimate the cost of equity via beta (systematic risk).

Discounting the cash flows

Finally, discount projected cash flows and terminal value at the chosen rate to obtain present value. Sensitivity analysis (varying r, g, margins, capex) and scenario analysis (bull/base/bear) are essential to understand valuation drivers.

Example

You can download below an Excel file with an example of DCF. It deals with Maire Tecnimont, which is an Italian engineering and consulting company specializing in the fields of chemistry and petrochemicals, oil and gas, energy and civil engineering.

Download the Excel file for an example of DCF applied to  Maire Tecnimont

Why should I be interested in this post?

If you are an ESSEC student aiming for roles in investment banking, private equity, or equity research, mastering DCF is table‑stakes. This post distills how DCF fits among valuation approaches, the exact steps to build one, and the pitfalls you must stress‑test before using your number in IPOs, M&A, or buy‑side models.

Related posts on the SimTrade blog

   ▶ Jayati WALIA Capital Asset Pricing Model (CAPM)

   ▶ William LONGIN How to compute the present value of an asset?

   ▶ Maite CARNICERO MARTINEZ How to compute the net present value of an investment in Excel

   ▶ Andrea ALOSCARI Valuation methods

Useful resources

Damodaran online New York University (NYU).

SEC EDGAR company filings

European Central Bank (ECB) statistics

Maire Tecnimont

About the author

The article was written in November 2025 by Roberto RESTELLI (ESSEC Business School, Master in Finance (MiF), 2025–2026).

Valuation methods

Andrea ALOSCARI

In this article, Andrea ALOSCARI (ESSEC Business School, Global Bachelor in Business Administration (GBBA) – 2024-2025) explains about three fundamental valuation methods—Comparable Companies Analysis, Precedent Transactions Analysis, and Discounted Cash Flow (DCF) Analysis—and their role in achieving successful deal outcomes.

Which are the main valuation methods?

At the heart of M&A, or Mergers and Acquisitions, stands the concept of valuation, which helps businesses evaluate the idea of expanding or consolidating their position in the market. The estimation of the target company’s implied share price is vitally important both for buyers and sellers and can be conducted with three main valuation methods: Comparable Companies analysis, Precedent Transactions analysis, and Discounted Cash Flow analysis.

Comparable Companies Analysis

The Comparable Companies analysis, colloquially known as “trading comps,” is one of the most common methodologies in M&A valuation. This methodology depends upon the analysis of the target company in comparison to other similar publicly traded companies. The rationale driving this valuation method is simple: a company is valued at a multiple equivalent to that of comparable companies operating in the same industry, same geography and similar financial profiles.

It starts by selecting an industry peer group of companies. Industry, size, geographical location, growth prospects, and profitability usually influence the choice of these groups of companies.

When conducting the valuation of a company, it is necessary to calculate different multiples for the comparable firms and consecutively apply them to the company financials, in order to estimate the value of the target. The most frequently used multiples are Enterprise Value/EBITDA, Price per share/Earnings per share, and Enterprise Value/Revenues.

In specific cases, the analysis can be extended to include industry metrics. For instance, in the case of the telecommunications field, price-per-subscriber metrics may be considered more relevant, while revenue-per-user or annual recurring revenue multiples are more applicable in the case of software companies. Such metrics allow deeper insight, giving a closer approximation for valuation.

While Comparable Companies analysis is market-reflective and easy to apply, there are some limitations. In real life, it is very hard and sometimes impossible to find really comparable companies, especially for niche industries or highly diversified firms. Valuation metrics may also be distorted by recent market volatility and temporary anomalies; therefore analysts need to use judgment when interpreting the results.

Precedent Transactions Analysis

Precedent transaction analysis includes the analysis of past M&A transactions to derive an estimated value of the target company. This technique provides, therefore, an indication of the price that the market has paid in the past, for companies which are similar in some respects.

In carrying out this type of analysis, analysts gather data on transactions similar in nature, deal size, industry and time. Application of the relevant metrics-such as EV/EBITDA and EV/Sales- will subsequently yield a set of valuation multiples. Later on, these are adjusted for synergies, market conditions, and strategic importance, among other factors, to arrive at an estimation of the target company’s value.

The major advantage of Precedent transaction analysis is that this method is derived from actual transaction data, which includes premiums for control and synergies. Despite that, also this methodology has several disadvantages; the historic transactions may not indicate the existing market conditions, and exhaustive data of private deals could be pretty hard to find out. Notwithstanding these disadvantages, this method is one of the main ways to find out the valuation trends in the merger and acquisition market.

Discounted Cash Flow (DCF) Analysis

Discounted Cash Flow Analysis works on a completely different tangent, focusing on the intrinsic value of the company. Whereas both Comparable Company analysis and Precedent Transactions analysis estimate the value of a company based on market comparables, unlike them, DCF estimates a company’s value based on its future expected cash flows. This is useful in cases where the companies have a very different business model or operate in an industry with few comparables.

Essentially, DCF starts off with projecting free cash flows for the target company over some predefined period of projection. These are then discounted back to the present using the firm’s cost of capital, reflecting risks involved in the business. Further, will be necessary to calculate the terminal value of the company, discounting it to the present value and adding it back to the value of the projection period.

The strengths of DCF lie in its flexibility and that it is based on fundamental performance, rather than on market sentiment. However, it is highly sensitive to assumptions like growth rates, discount rates, and terminal value calculations. Even small changes in these inputs may strongly affect the final valuation outcome. It therefore requires analysts to be very strict in justifying their assumptions and testing the robustness of their models via sensitivity analysis.

For example, we can consider a technology start-up with very high growth potential. Analysts would project cash flows considering very rapid revenue increases and very significant reinvestments in technology. In contrast, one would focus on stable cash flows and incremental growth while valuing a mature industrial firm. The DCF model would be flexible enough to accommodate those contexts.

Combining Valuation Techniques

No valuation approach is ideal on its own. Each of the techniques gives a different insight and is hence suited for different situations. For instance, Comparable Company analysis would be perfect in judging the relative value of a company with its peers, whereas Precedent Transactions analysis provides a reality check based on actual market transactions. On the other hand, DCF provides an intrinsic in-depth analysis of the business, independent of the market noise.

In order to provide a more complete assessment, the triangulation approach is increasingly being used by incorporating findings from valuations of different techniques. As an example, in technology industries, Comparable Company analysis might provide a view on how markets valued comparable businesses, DCF might be applied with respect to long-term intellectual property value and growth potentials, Precedent Transactions analysis could help identify synergies from historical deals and therefore complement an otherwise forward-looking DCF approach.

Finally, the values are presented through a football field chart, a type of graph that is particularly helpful in visualizing the results and comparing various approaches to valuation. This chart usually assists stakeholders, but not only, in rapidly identifying overlap and outliers by portraying ranges of value generated from multiple approaches on one horizontal axis.

Example of a DCF valuation

In the following section, you can download an Excel file containing a valuation performed using the discounted cash flow (DCF) method. The file includes all the calculation details, such as projected cash flows, the discount rate applied, and the resulting net present value. Additionally, it contains sheets where various assumptions were made, along with the forecasting of financial statement items.

Example of DCF valuation
 Example of DCF valuation
Source: Personal analysis

In this discounted cash flow (DCF) analysis, the valuation is performed by projecting future free cash flows to the firm (FCFF) over a specified forecast period. Key assumptions, such as revenue growth, cost of goods sold (COGS) percentage, EBITDA margin, depreciation, capital expenditures (CapEx), and changes in net working capital (NWC), are made to forecast the financial statement items.

The projected FCFF values are then discounted using a weighted average cost of capital (WACC) to estimate their present value. A terminal value is calculated at the end of the forecast period, representing the business’s residual value. The total enterprise value is obtained by summing the discounted FCFFs and the discounted terminal value. Lastly, adjustments for net debt and outstanding shares are made to derive the implied equity value and share price.

Additionally, the file includes a sensitivity analysis to show how changes in growth rate and WACC impact the enterprise value.

You can download below the Excel file for valuation.

Download the Excel file  with a valuation example

Why should I be interested in this post?

The following post outlines some of the key valuation techniques in M&A transactions and is hence very useful for finance professionals, students, and anyone interested in the corporate world. This article offers practical tools that help make an appropriate assessment of deal value utilizing methodologies like Comparable Companies Analysis, Precedent Transactions Analysis, and Discounted Cash Flow Analysis.

Whether it is for an investment banking career or an intrinsic desire to understand how things work in corporate finance, it is possible to find some real actionable insight in this article. The combination of a theoretical base with real applications allows the reader to take these concepts into dynamic market environments.

Related posts on the SimTrade blog

   ▶ All posts about valuation Valuation methods

   ▶ Lou PERRONE Free Cash Flow

   ▶ Bijal GANDHI Cash Flow Statement

   ▶ Nithisha CHALLA Factset

   ▶ Andrea ALOSCARI My Internship Experience in the Corporate & Investment Banking division of IMI – Intesa Sanpaolo

Useful resources

Joshua Rosenbaum and Joshua Pearl (2024) “Investment Bnaking : Valuaito, LBOs, M&A and IPOs” Wiley, Third Edition.

Alexandra Reed Lajoux (2019) “The Art of M&A, Fifth Edition: A Merger, Acquisition, and Buyout Guide” McGraw-Hill Education.

Tim Koller, Marc Goedhart, David Wessels (2010) “Valuation: Measuring and Managing the Value of Companies”, McKinsey and Company.

Aswath Damodaran (2024) Valuation Modeling: Excel as a tool (YouTube video).

About the author

The article was written in January 2025 by Andrea ALOSCARI (ESSEC Business School, Global Bachelor in Business Administration (GBBA) – 2024-2025).

Understanding the Gordon-Shapiro Dividend Discount Model: A Key Tool in Valuation

Understanding the Gordon-Shapiro Dividend Discount Model: A Key Tool in Valuation

Isaac ALLIALI

In this article, Isaac ALLIALI (ESSEC Business School, Bachelor in Business Administration (BBA), 2019-2023) explains about the Gordon-Shapiro Dividend Discount Model, which is a key tool in valuation.

Introduction

The Gordon-Shapiro Dividend Discount Model, also known as the Gordon-Shapiro formula and the Gordon Growth Model, is a central tenet in finance. It provides investors and financial analysts a simple tool to value a company based on its future dividends that are expected to remain at a constant growth rate. This model was named after economists Myron J. Gordon and Eli Shapiro, who developed it.

The Gordon-Shapiro formula

The Gordon-Shapiro formula is articulated through a relatively simple equation:

Gordon Shapiro formula

where:

V stands for the value of the stock.
DIV1 represents the expected dividend in the next period.
k is the investor’s required rate of return.
g is the constant growth rate of dividends.

This formula is premised on the idea that a company’s stock is worth the present value of all its future dividends.

Proof of the Gordon-Shapiro formula

To understand the derivation of the formula, let us consider a perpetuity model for valuing stocks. In a perpetuity model, the value of an asset is determined by the discounted value of its future cash flows. In the case of stocks, dividends represent the cash flows received by investors (shareholders or stockholders).

Assuming that the company pays a constant dividend indefinitely, the present value of the future dividends can be expressed as follows:

Gordon Shapiro formula

where DIV1, DIV2, DIV3 and so on, represent the expected dividends in subsequent periods.

To simplify the formula, we assume that the dividend grows at a constant rate (g). This means that each subsequent dividend can be expressed as a multiple of the previous dividend:

Gordon Shapiro formula

Substituting these dividend expressions into the perpetuity formula, we have:

Gordon Shapiro formula

Inside the parentheses, we recognize an infinite geometric series with a ratio q equal to (1+g)/(1+k) for the geometric sequence.

Gordon Shapiro formula

The sum of an infinite geometric series denoted by S with a ratio q is equal to 1/(1-q). Applied to the case above, we obtain:

Gordon Shapiro formula

This leads to the Gordon Shapiro formula:

Gordon Shapiro formula

Simplifying further:

Gordon Shapiro formula

Therefore, the Gordon-Shapiro formula for estimating the intrinsic value of a stock is derived.

Assumptions of the Gordon Growth Model

The Gordon-Shapiro Dividend Discount Model is based on several key assumptions:

Constant Growth Rate: the model assumes that dividends grow at a constant rate indefinitely.

Required Rate of Return: the required rate of return exceeds the dividend growth rate. This condition is necessary for the formula to work.

Dividends: the company is expected to distribute dividends.

While these assumptions may not hold in all cases, they offer a starting point for the valuation process.

Applicability of the Gordon Growth Model

The Gordon Growth Model is especially useful in certain scenarios. For example, it is an excellent tool when assessing companies with stable growth rates, such as utility companies or large, mature firms.

However, the model has limitations when used for companies that don’t pay dividends or those with a dividend growth rate that is not consistent. High-growth companies, for instance, reinvest their profits for expansion rather than paying dividends. Similarly, companies facing fluctuating growth rates may present challenges for the model’s assumptions.

Example

After researching Pfizer’s data, we assume that this company pays an annual dividend per share (DPS) of $0.40. The required rate of return (k) for the company’s stock 9,16% was computed with the CAPM Model under the following assumptions: (Risk free rate of return= 4,73%; Beta of Pfizer stock is 0,62 and Market rate of return =11,88%), and the expected growth rate of dividends (g) is 6,40%.

Using the Gordon Shapiro formula:

Gordon Shapiro formula

In this example, based on the given assumptions, the Gordon Shapiro model estimates the intrinsic value (V0) of Pfizer’s stock to be $14.48 per share. The current market price of Pfizer’s stock ($37,60) is significantly higher than the estimated intrinsic value, it could suggest that the stock is potentially overvalued. This may indicate a cautionary signal for investors, as it implies that the stock’s market price may not be justified by the projected dividends and required rate of return. It’s important to note that the Gordon Shapiro model is a simplified valuation tool and relies on various assumptions. The actual value of a stock is influenced by numerous factors, including market conditions, company performance, industry trends, and investor sentiment. Investors should conduct further research, analyze additional factors, and seek professional advice before making investment decisions based solely on the findings of the Gordon Shapiro model or any other valuation model.

Conclusion

Despite its limitations, the Gordon-Shapiro Dividend Discount Model remains a valuable tool in financial analysis and investment decision-making. Its simplicity and focus on dividends make it an attractive model for investors, especially when applied appropriately and in the right context. Investors and financial analysts alike should understand this model as part of their toolkit for assessing a company’s inherent value.

Related posts on the SimTrade blog

   ▶ William LONGIN How to compute the present value of an asset?

   ▶ Maite CARNICERO MARTINEZ How to compute the net present value of an investment in Excel

   ▶ Pranay KUMAR Time is money

Useful resources

SimTrade course Financial analysis

Gordon, Myron J., and Eli Shapiro (1956) “Capital Equipment Analysis: The Required Rate of Profit.” Management Science, 3(1): 102-110.

About the author

The article was written in June 2023 by Isaac ALLIALI (ESSEC Business School, Bachelor in Business Administration (BBA), 2019-2023).