Are Investors Undervaluing Bouygues SA (EPA:EN) By 27%?

Today we'll do a simple run through of a valuation method used to estimate the attractiveness of Bouygues SA (EPA:EN) as an investment opportunity by taking the expected future cash flows and discounting them to their present value. This will be done using the Discounted Cash Flow (DCF) model. Believe it or not, it's not too difficult to follow, as you'll see from our example!

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.

See our latest analysis for Bouygues

The model

We're using the 2-stage growth model, which simply means we take in account two stages of company's growth. In the initial period the company may have a higher growth rate and the second stage is usually assumed to have a stable growth rate. 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.

Generally we assume that a dollar today is more valuable than a dollar in the future, 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)	€670.6m	€900.4m	€1.09b	€1.12b	€1.14b	€1.15b	€1.17b	€1.17b	€1.18b	€1.19b
Growth Rate Estimate Source	Analyst x3	Analyst x5	Analyst x3	Analyst x2	Est @ 1.85%	Est @ 1.39%	Est @ 1.06%	Est @ 0.83%	Est @ 0.67%	Est @ 0.56%
Present Value (€, Millions) Discounted @ 6.8%	€628	€789	€892	€858	€818	€777	€735	€694	€654	€616

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = €7.5b

After calculating the present value of future cash flows in the initial 10-year period, we need to calculate the Terminal Value, which accounts for all future cash flows beyond the first stage. The Gordon Growth formula is used to calculate Terminal Value at a future annual growth rate equal to the 5-year average of the 10-year government bond yield of 0.3%. We discount the terminal cash flows to today's value at a cost of equity of 6.8%.

Terminal Value (TV)= FCF₂₀₃₁ × (1 + g) ÷ (r – g) = €1.2b× (1 + 0.3%) ÷ (6.8%– 0.3%) = €18b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= €18b÷ ( 1 + 6.8%)¹⁰= €9.5b

The total value, or equity value, is then the sum of the present value of the future cash flows, which in this case is €17b. To get the intrinsic value per share, we divide this by the total number of shares outstanding. Relative to the current share price of €32.6, the company appears a touch undervalued at a 27% discount to where the stock price trades currently. Valuations are imprecise instruments though, rather like a telescope - move a few degrees and end up in a different galaxy. Do keep this in mind.

The assumptions

The calculation above is very dependent on two assumptions. The first is the discount rate and the other is the 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 Bouygues 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 6.8%, which is based on a levered beta of 1.376. 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.

Moving On:

Whilst important, the DCF calculation is only one of many factors that you need to assess for a company. The DCF model is not a perfect stock valuation tool. Preferably you'd apply different cases and assumptions and see how they would impact the company's valuation. For instance, if the terminal value growth rate is adjusted slightly, it can dramatically alter the overall result. Why is the intrinsic value higher than the current share price? For Bouygues, we've put together three fundamental aspects you should assess:

1. Financial Health: Does EN have a healthy balance sheet? Take a look at our free balance sheet analysis with six simple checks on key factors like leverage and risk.
2. Future Earnings: How does EN'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.

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

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.