An Intrinsic Calculation For Bouygues SA (EPA:EN) Suggests It's 49% Undervalued

Key Insights

• Bouygues' estimated fair value is €61.70 based on 2 Stage Free Cash Flow to Equity
• Bouygues is estimated to be 49% undervalued based on current share price of €31.75
• The €39.07 analyst price target for EN is 37% less than our estimate of fair value

How far off is Bouygues SA (EPA:EN) from its intrinsic value? Using the most recent financial data, we'll take a look at whether the stock is fairly priced by estimating the company's future cash flows and discounting them to their present value. Our analysis will employ the Discounted Cash Flow (DCF) model. Don't get put off by the jargon, the math behind it is actually quite straightforward.

Remember though, that there are many ways to estimate a company's value, and a DCF is just one method. For those who are keen learners of equity analysis, the Simply Wall St analysis model here may be something of interest to you.

Check out our latest analysis for Bouygues

Is Bouygues Fairly Valued?

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 begin with, we have to get estimates of 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 discount the value of these future cash flows to their estimated value in today's dollars:

10-year free cash flow (FCF) forecast

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = €12b

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 (1.1%) 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 9.8%.

Terminal Value (TV)= FCF₂₀₃₄ × (1 + g) ÷ (r – g) = €2.4b× (1 + 1.1%) ÷ (9.8%– 1.1%) = €28b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= €28b÷ ( 1 + 9.8%)¹⁰= €11b

The total value is the sum of cash flows for the next ten years plus the discounted terminal value, which results in the Total Equity Value, which in this case is €23b. The last step is to then divide the equity value by the number of shares outstanding. Relative to the current share price of €31.8, the company appears quite good value at a 49% 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.

Important 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 9.8%, which is based on a levered beta of 1.635. 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.

SWOT Analysis for Bouygues

Next Steps:

Whilst important, the DCF calculation is only one of many factors that you need to assess for a company. It's not possible to obtain a foolproof valuation with a DCF model. Preferably you'd apply different cases and assumptions and see how they would impact the company's valuation. If a company grows at a different rate, or if its cost of equity or risk free rate changes sharply, the output can look very different. Can we work out why the company is trading at a discount to intrinsic value? For Bouygues, there are three essential elements you should consider:

1. Risks: Take risks, for example - Bouygues has 1 warning sign we think you should be aware of.
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 High Quality Alternatives: Do you like a good all-rounder? Explore our interactive list of high quality stocks to get an idea of what else is out there you may be missing!

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.

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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@simplywallst.com