Calculating The Fair Value Of Wavestone SA (EPA:WAVE)

Today we will run through one way of estimating the intrinsic value of Wavestone SA (EPA:WAVE) 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. There's really not all that much to it, even though it might appear quite complex.

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. 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 Wavestone

Step by step through the calculation

We use what is known as a 2-stage model, which simply means we have two different periods of growth rates for the company's cash flows. Generally the first stage is higher growth, and the second stage is a lower growth phase. 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, 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

	2022	2023	2024	2025	2026	2027	2028	2029	2030	2031
Levered FCF (€, Millions)	€43.1m	€51.3m	€53.5m	€53.3m	€53.3m	€53.3m	€53.4m	€53.4m	€53.6m	€53.7m
Growth Rate Estimate Source	Analyst x3	Analyst x3	Analyst x3	Est @ -0.26%	Est @ -0.09%	Est @ 0.03%	Est @ 0.11%	Est @ 0.17%	Est @ 0.21%	Est @ 0.23%
Present Value (€, Millions) Discounted @ 5.2%	€41.0	€46.4	€46.0	€43.6	€41.4	€39.4	€37.5	€35.7	€34.1	€32.5

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = €397m

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. 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 0.3%. We discount the terminal cash flows to today's value at a cost of equity of 5.2%.

Terminal Value (TV)= FCF₂₀₃₁ × (1 + g) ÷ (r – g) = €54m× (1 + 0.3%) ÷ (5.2%– 0.3%) = €1.1b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= €1.1b÷ ( 1 + 5.2%)¹⁰= €670m

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 €1.1b. The last step is to then divide the equity value by the number of shares outstanding. Compared to the current share price of €50.7, the company appears about fair value at a 4.9% 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. 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 Wavestone 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 5.2%, which is based on a levered beta of 1.027. 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.

Looking Ahead:

Whilst important, the DCF calculation 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 Wavestone, we've put together three important items you should explore:

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