Sodexo S.A.'s (EPA:SW) Intrinsic Value Is Potentially 47% Above Its Share Price

Today we will run through one way of estimating the intrinsic value of Sodexo S.A. (EPA:SW) by taking the expected future cash flows and discounting them to their present value. We will take advantage of the Discounted Cash Flow (DCF) model for this purpose. Before you think you won't be able to understand it, just read on! It's actually much less complex than you'd imagine.

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. 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 Sodexo

Step by step through the calculation

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.

Generally we assume that a dollar today is more valuable than a dollar in the future, and so the sum of these future cash flows is then discounted to today's value:

10-year free cash flow (FCF) estimate

	2022	2023	2024	2025	2026	2027	2028	2029	2030	2031
Levered FCF (€, Millions)	€606.8m	€766.9m	€839.5m	€1.00b	€1.11b	€1.20b	€1.27b	€1.32b	€1.36b	€1.39b
Growth Rate Estimate Source	Analyst x10	Analyst x10	Analyst x6	Analyst x2	Est @ 11.09%	Est @ 7.86%	Est @ 5.61%	Est @ 4.03%	Est @ 2.92%	Est @ 2.15%
Present Value (€, Millions) Discounted @ 7.1%	€567	€669	€684	€764	€792	€798	€787	€765	€735	€701

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = €7.3b

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 (0.3%) 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 7.1%.

Terminal Value (TV)= FCF₂₀₃₁ × (1 + g) ÷ (r – g) = €1.4b× (1 + 0.3%) ÷ (7.1%– 0.3%) = €21b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= €21b÷ ( 1 + 7.1%)¹⁰= €10b

The total value, or equity value, is then the sum of the present value of the future cash flows, which in this case is €18b. In the final step we divide the equity value by the number of shares outstanding. Relative to the current share price of €82.2, the company appears quite good value at a 32% 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

Now the most important inputs to a discounted cash flow are the discount rate, and of course, the actual 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 Sodexo 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 7.1%, which is based on a levered beta of 1.402. 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.

Next Steps:

Whilst important, the DCF calculation shouldn't be the only metric you look at when researching a company. The DCF model is not a perfect stock valuation tool. Rather it should be seen as a guide to "what assumptions need to be true for this stock to be under/overvalued?" 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 Sodexo, there are three fundamental aspects you should consider:

1. Risks: For instance, we've identified 3 warning signs for Sodexo (1 is a bit unpleasant) you should be aware of.
2. Future Earnings: How does SW'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.

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.

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