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# Is There An Opportunity With Bouygues SA’s (EPA:EN) 32.72% Undervaluation?

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Does the February share price for Bouygues SA (EPA:EN) reflect it’s really worth? Today, I will calculate the stock’s intrinsic value by taking the expected future cash flows and discounting them to today’s value. I will use the discounted cash flows (DCF) model. It may sound complicated, but actually it is quite simple! Anyone interested in learning a bit more about intrinsic value should have a read of the Simply Wall St analysis model. If you are reading this and its not February 2019 then I highly recommend you check out the latest calculation for Bouygues by following the link below.

### Step by step through the calculation

I’m 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 perpetual stable growth rate. To begin with we have to get estimates of the next five years of cash flows. For this I used the consensus of the analysts covering the stock, as you can see below. I then discount this to its value today and sum up the total to get the present value of these cash flows.

#### 5-year cash flow forecast

 2019 2020 2021 2022 2023 Levered FCF (€, Millions) €865.92 €999.30 €1.09k €1.29k €1.37k Source Analyst x10 Analyst x8 Analyst x2 Analyst x1 Analyst x1 Present Value Discounted @ 8.15% €800.69 €854.42 €860.18 €944.52 €926.10

Present Value of 5-year Cash Flow (PVCF)= €4.4b

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 the GDP. In this case I have used the 10-year government bond rate (0.7%). In the same way as with the 5-year ‘growth’ period, we discount this to today’s value at a cost of equity of 8.1%.

Terminal Value (TV) = FCF2023 × (1 + g) ÷ (r – g) = €1.4b × (1 + 0.7%) ÷ (8.1% – 0.7%) = €19b

Present Value of Terminal Value (PVTV) = TV / (1 + r)5 = €19b ÷ ( 1 + 8.1%)5 = €13b

The total value, or equity value, is then the sum of the present value of the cash flows, which in this case is €17b. In the final step we divide the equity value by the number of shares outstanding. If the stock is an depositary receipt (represents a specified number of shares in a foreign corporation) or ADR then we use the equivalent number. This results in an intrinsic value of €45.57. Relative to the current share price of €30.66, the stock is quite good value at a 33% discount to what it is available for right now.

### 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 my result, have a go at the calculation yourself and play with the assumptions. Because 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 weighed average cost of capital, WACC) which accounts for debt. In this calculation I’ve used 8.1%, which is based on a levered beta of 0.800. This is derived from the Bottom-Up Beta method based on comparable companies, with an imposed limit between 0.8 and 2.0, which is a reasonable range for a stable business.

### Next Steps:

Although the valuation of a company is important, it shouldn’t be the only metric you look at when researching a company. What is the reason for the share price to differ from the intrinsic value? For EN, I’ve compiled three fundamental factors you should further research:

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 High Quality Alternatives: Are there other high quality stocks you could be holding instead of EN? 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 for every stock on the EPA every 6 hours. If you want to find the calculation for other stocks just search here.

To help readers see past the short term volatility of the financial market, we aim to bring you a long-term focused research analysis purely driven by fundamental data. Note that our analysis does not factor in the latest price-sensitive company announcements.

The author is an independent contributor and at the time of publication had no position in the stocks mentioned. For errors that warrant correction please contact the editor at editorial-team@simplywallst.com.