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. The Discounted Cash Flow (DCF) model is the tool we will apply to do this. It may sound complicated, but actually it is quite simple!
We would caution that there are many ways of valuing a company and, like the DCF, each technique has advantages and disadvantages in certain scenarios. 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.
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 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.
A DCF is all about the idea that a dollar in the future is less valuable than a dollar today, and so the sum of these future cash flows is then discounted to today's value:
10-year free cash flow (FCF) forecast
|Levered FCF (€, Millions)||€713.8m||€1.09b||€765.5m||€795.0m||€897.0m||€859.5m||€835.3m||€819.7m||€809.9m||€804.0m|
|Growth Rate Estimate Source||Analyst x4||Analyst x3||Analyst x2||Analyst x1||Analyst x1||Est @ -4.18%||Est @ -2.82%||Est @ -1.86%||Est @ -1.2%||Est @ -0.73%|
|Present Value (€, Millions) Discounted @ 7.3%||€665||€945||€620||€600||€631||€563||€510||€466||€429||€397|
("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = €5.8b
We now need to calculate the Terminal Value, which accounts for all the future cash flows after this ten year period. 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 (0.4%) 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 7.3%.
Terminal Value (TV)= FCF2030 × (1 + g) ÷ (r – g) = €804m× (1 + 0.4%) ÷ (7.3%– 0.4%) = €12b
Present Value of Terminal Value (PVTV)= TV / (1 + r)10= €12b÷ ( 1 + 7.3%)10= €5.7b
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 €12b. In the final step we divide the equity value by the number of shares outstanding. Compared to the current share price of €33.4, the company appears around fair value at the time of writing. Remember though, that this is just an approximate valuation, and like any complex formula - garbage in, garbage out.
The calculation above is very dependent on two assumptions. The first is the discount rate and the other is the cash flows. You don't have to agree with these inputs, I recommend redoing the calculations yourself and playing with them. 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 7.3%, which is based on a levered beta of 1.335. 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.
Although the valuation of a company is important, it shouldn't be the only metric you look at when researching 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. For Bouygues, there are three additional factors you should further examine:
- Risks: As an example, we've found 1 warning sign for Bouygues that you need to consider before investing here.
- 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.
- 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. 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.
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