Calculating The Fair Value Of Vivendi SE (EPA:VIV)

Does the October share price for Vivendi SE (EPA:VIV) reflect what it's really worth? Today, we will estimate the stock's intrinsic value by estimating the company's future cash flows and discounting them to their present value. We will take advantage of the Discounted Cash Flow (DCF) model for this purpose. It may sound complicated, but actually it is quite simple!

Companies can be valued in a lot of ways, so we would point out that a DCF is not perfect for every situation. If you want to learn more about discounted cash flow, the rationale behind this calculation can be read in detail in the Simply Wall St analysis model.

View our latest analysis for Vivendi

The calculation

We use what is known as a 2-stage model, which simply means we have two different periods of growth rates for the company's cash flows. Generally the first stage is higher growth, and the second stage is a lower growth phase. To start off with, we need to estimate the next ten years of cash flows. Where possible we use analyst estimates, but when these aren't available we extrapolate the previous free cash flow (FCF) from the last estimate or reported value. We assume companies with shrinking free cash flow will slow their rate of shrinkage, and that companies with growing free cash flow will see their growth rate slow, over this period. We do this to reflect that growth tends to slow more in the early years than it does in later years.

A DCF is all about the idea that a dollar in the future is less valuable than a dollar today, so we need to discount the sum of these future cash flows to arrive at a present value estimate:

10-year free cash flow (FCF) estimate

	2022	2023	2024	2025	2026	2027	2028	2029	2030	2031
Levered FCF (€, Millions)	€576.6m	€675.6m	€679.0m	€682.0m	€684.9m	€687.6m	€690.2m	€692.7m	€695.2m	€697.6m
Growth Rate Estimate Source	Analyst x5	Analyst x3	Est @ 0.5%	Est @ 0.45%	Est @ 0.42%	Est @ 0.39%	Est @ 0.38%	Est @ 0.37%	Est @ 0.36%	Est @ 0.35%
Present Value (€, Millions) Discounted @ 5.5%	€546	€607	€578	€550	€524	€498	€474	€451	€429	€408

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = €5.1b

The second stage is also known as Terminal Value, this is the business's cash flow after the first stage. For a number of reasons a very conservative growth rate is used that cannot exceed that of a country's GDP growth. In this case we have used the 5-year average of the 10-year government bond yield (0.3%) to estimate future growth. In the same way as with the 10-year 'growth' period, we discount future cash flows to today's value, using a cost of equity of 5.5%.

Terminal Value (TV)= FCF₂₀₃₁ × (1 + g) ÷ (r – g) = €698m× (1 + 0.3%) ÷ (5.5%– 0.3%) = €14b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= €14b÷ ( 1 + 5.5%)¹⁰= €7.9b

The total value, or equity value, is then the sum of the present value of the future cash flows, which in this case is €13b. The last step is to then divide the equity value by the number of shares outstanding. Compared to the current share price of €10.9, the company appears about fair value at a 13% discount to where the stock price trades currently. Remember though, that this is just an approximate valuation, and like any complex formula - garbage in, garbage out.

The assumptions

We would point out that the most important inputs to a discounted cash flow are the discount rate and of course the actual cash flows. If you don't agree with these result, have a go at the calculation yourself and play with the assumptions. The DCF also does not consider the possible cyclicality of an industry, or a company's future capital requirements, so it does not give a full picture of a company's potential performance. Given that we are looking at Vivendi as potential shareholders, the cost of equity is used as the discount rate, rather than the cost of capital (or weighted average cost of capital, WACC) which accounts for debt. In this calculation we've used 5.5%, which is based on a levered beta of 1.077. Beta is a measure of a stock's volatility, compared to the market as a whole. We get our beta from the industry average beta of globally comparable companies, with an imposed limit between 0.8 and 2.0, which is a reasonable range for a stable business.

Next Steps:

Valuation is only one side of the coin in terms of building your investment thesis, and it is only one of many factors that you need to assess for a company. DCF models are not the be-all and end-all of investment valuation. Instead the best use for a DCF model is to test certain assumptions and theories to see if they would lead to the company being undervalued or overvalued. For example, changes in the company's cost of equity or the risk free rate can significantly impact the valuation. For Vivendi, we've compiled three fundamental elements you should explore:

1. Risks: Case in point, we've spotted 3 warning signs for Vivendi you should be aware of.
2. Future Earnings: How does VIV's growth rate compare to its peers and the wider market? Dig deeper into the analyst consensus number for the upcoming years by interacting with our free analyst growth expectation chart.
3. Other Solid Businesses: Low debt, high returns on equity and good past performance are fundamental to a strong business. Why not explore our interactive list of stocks with solid business fundamentals to see if there are other companies you may not have considered!

PS. The Simply Wall St app conducts a discounted cash flow valuation for every stock on the ENXTPA every day. If you want to find the calculation for other stocks just search here.

This article by Simply Wall St is general in nature. We provide commentary based on historical data and analyst forecasts only using an unbiased methodology and our articles are not intended to be financial advice. It does not constitute a recommendation to buy or sell any stock, and does not take account of your objectives, or your financial situation. We aim to bring you long-term focused analysis driven by fundamental data. Note that our analysis may not factor in the latest price-sensitive company announcements or qualitative material. Simply Wall St has no position in any stocks mentioned.

Have feedback on this article? Concerned about the content? Get in touch with us directly. Alternatively, email editorial-team (at) simplywallst.com.