An Intrinsic Calculation For Sopra Steria Group SA (EPA:SOP) Suggests It's 37% Undervalued

How far off is Sopra Steria Group SA (EPA:SOP) 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. One way to achieve this is by employing the Discounted Cash Flow (DCF) model. Models like these may appear beyond the comprehension of a lay person, but they're fairly easy to follow.

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. Anyone interested in learning a bit more about intrinsic value should have a read of the Simply Wall St analysis model.

Check out our latest analysis for Sopra Steria Group

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 start off with, we need to estimate 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 need to discount the sum of these future cash flows to arrive at a present value estimate:

10-year free cash flow (FCF) estimate

	2023	2024	2025	2026	2027	2028	2029	2030	2031	2032
Levered FCF (€, Millions)	€254.9m	€303.3m	€284.1m	€271.7m	€263.7m	€258.6m	€255.3m	€253.3m	€252.1m	€251.6m
Growth Rate Estimate Source	Analyst x4	Analyst x4	Est @ -6.34%	Est @ -4.34%	Est @ -2.94%	Est @ -1.96%	Est @ -1.27%	Est @ -0.79%	Est @ -0.46%	Est @ -0.22%
Present Value (€, Millions) Discounted @ 5.8%	€241	€271	€240	€217	€199	€184	€172	€161	€152	€143

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = €2.0b

After calculating the present value of future cash flows in the initial 10-year period, we need to calculate the Terminal Value, which accounts for all future cash flows beyond 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 5.8%.

Terminal Value (TV)= FCF₂₀₃₂ × (1 + g) ÷ (r – g) = €252m× (1 + 0.3%) ÷ (5.8%– 0.3%) = €4.6b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= €4.6b÷ ( 1 + 5.8%)¹⁰= €2.6b

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 €4.6b. The last step is to then divide the equity value by the number of shares outstanding. Relative to the current share price of €144, the company appears quite good value at a 37% 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.

The Assumptions

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 Sopra Steria Group 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 5.8%, which is based on a levered beta of 1.157. 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:

Although the valuation of a company is important, it is only one of many factors that you need to assess for 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. For example, changes in the company's cost of equity or the risk free rate can significantly impact the valuation. Can we work out why the company is trading at a discount to intrinsic value? For Sopra Steria Group, we've put together three important elements you should further research:

1. Risks: As an example, we've found 1 warning sign for Sopra Steria Group that you need to consider before investing here.
2. Future Earnings: How does SOP'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.