Are Investors Undervaluing Arcadis NV (AMS:ARCAD) By 21%?

Does the December share price for Arcadis NV (AMS:ARCAD) reflect what it's really worth? Today, we will estimate the stock's intrinsic value by taking the expected future cash flows and discounting them to their present value. One way to achieve this is by employing the Discounted Cash Flow (DCF) model. Believe it or not, it's not too difficult to follow, as you'll see from our example!

Companies can be valued in a lot of ways, so we would point out that a DCF is not perfect for every situation. 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.

See our latest analysis for Arcadis

The Calculation

We are going to use a two-stage DCF model, which, as the name states, takes into account two stages of growth. The first stage is generally a higher growth period which levels off heading towards the terminal value, captured in the second 'steady growth' period. To begin with, we have to get estimates of the next ten years of cash flows. Seeing as no analyst estimates of free cash flow are available to us, we have extrapolate the previous free cash flow (FCF) from the company's last 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

	2023	2024	2025	2026	2027	2028	2029	2030	2031	2032
Levered FCF (€, Millions)	€246.5m	€244.7m	€243.6m	€242.9m	€242.6m	€242.5m	€242.6m	€242.8m	€243.0m	€243.3m
Growth Rate Estimate Source	Est @ -1.11%	Est @ -0.72%	Est @ -0.45%	Est @ -0.26%	Est @ -0.13%	Est @ -0.04%	Est @ 0.03%	Est @ 0.07%	Est @ 0.11%	Est @ 0.13%
Present Value (€, Millions) Discounted @ 5.6%	€233	€219	€207	€195	€184	€175	€165	€157	€148	€141

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = €1.8b

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 (0.2%) 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 5.6%.

Terminal Value (TV)= FCF₂₀₃₂ × (1 + g) ÷ (r – g) = €243m× (1 + 0.2%) ÷ (5.6%– 0.2%) = €4.5b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= €4.5b÷ ( 1 + 5.6%)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 €4.4b. The last step is to then divide the equity value by the number of shares outstanding. Relative to the current share price of €39.1, the company appears a touch undervalued at a 21% discount to where the stock price trades currently. Valuations are imprecise instruments though, rather like a telescope - move a few degrees and end up in a different galaxy. Do keep this in mind.

dcf

Important 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 Arcadis 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 5.6%, which is based on a levered beta of 1.063. 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. It's not possible to obtain a foolproof valuation with a DCF model. Instead the best use for a DCF model is to test certain assumptions and theories to see if they would lead to the company being undervalued or overvalued. For instance, if the terminal value growth rate is adjusted slightly, it can dramatically alter the overall result. Can we work out why the company is trading at a discount to intrinsic value? For Arcadis, we've put together three further items you should assess:

1. Financial Health: Does ARCAD 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 ARCAD'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 Dutch stock every day, so if you want to find the intrinsic value of any other stock just search here.

Have feedback on this article? Concerned about the content? Get in touch with us directly. Alternatively, email editorial-team (at) simplywallst.com.

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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