Calculating The Intrinsic Value Of Bouygues SA (EPA:EN)

Key Insights

• The projected fair value for Bouygues is €28.95 based on 2 Stage Free Cash Flow to Equity
• Current share price of €28.73 suggests Bouygues is potentially trading close to its fair value
• The €35.92 analyst price target for EN is 24% more than our estimate of fair value

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 today's value. The Discounted Cash Flow (DCF) model is the tool we will apply to do this. Models like these may appear beyond the comprehension of a lay person, but they're fairly easy to follow.

We generally believe that a company's value is the present value of all of the cash it will generate in the future. However, a DCF is just one valuation metric among many, and it is not without flaws. If you still have some burning questions about this type of valuation, take a look at the Simply Wall St analysis model.

Check out 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. In the first stage we need to estimate the cash flows to the business over the next ten years. 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 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) = €6.9b

We now need to calculate the Terminal Value, which accounts for all the future cash flows after this ten year period. 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 1.4%. We discount the terminal cash flows to today's value at a cost of equity of 9.8%.

Terminal Value (TV)= FCF₂₀₃₄ × (1 + g) ÷ (r – g) = €845m× (1 + 1.4%) ÷ (9.8%– 1.4%) = €10b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= €10b÷ ( 1 + 9.8%)¹⁰= €4.0b

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 €11b. The last step is to then divide the equity value by the number of shares outstanding. Relative to the current share price of €28.7, the company appears about fair value at a 0.8% 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.

Important 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. Part of investing is coming up with your own evaluation of a company's future performance, so try the calculation yourself and check your own 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 1.773. 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

Looking Ahead:

Although the valuation of a company is important, it shouldn't be the only metric you look at when researching a company. DCF models are not the be-all and end-all of investment valuation. 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. For Bouygues, we've put together three important elements you should further examine:

1. Risks: You should be aware of the 1 warning sign for Bouygues we've uncovered before considering an investment in the company.
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. Simply Wall St updates its DCF calculation for every French stock every day, so if you want to find the intrinsic value of any other stock 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.