Calculating The Intrinsic Value Of Arcadis NV (AMS:ARCAD)

Today we will run through one way of estimating the intrinsic value of Arcadis NV (AMS:ARCAD) by estimating the company's future cash flows and discounting them to their present value. The Discounted Cash Flow (DCF) model is the tool we will apply to do this. Believe it or not, it's not too difficult to follow, as you'll see from our example!

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 Arcadis

The method

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 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) forecast

	2022	2023	2024	2025	2026	2027	2028	2029	2030	2031
Levered FCF (€, Millions)	€212.0m	€256.0m	€230.6m	€214.6m	€204.3m	€197.4m	€192.9m	€189.8m	€187.7m	€186.4m
Growth Rate Estimate Source	Analyst x1	Analyst x1	Est @ -9.93%	Est @ -6.92%	Est @ -4.82%	Est @ -3.35%	Est @ -2.32%	Est @ -1.59%	Est @ -1.09%	Est @ -0.73%
Present Value (€, Millions) Discounted @ 5.0%	€202	€232	€199	€177	€160	€147	€137	€128	€121	€114

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = €1.6b

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 (0.09%) 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 5.0%.

Terminal Value (TV)= FCF₂₀₃₁ × (1 + g) ÷ (r – g) = €186m× (1 + 0.09%) ÷ (5.0%– 0.09%) = €3.8b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= €3.8b÷ ( 1 + 5.0%)¹⁰= €2.3b

The total value, or equity value, is then the sum of the present value of the future cash flows, which in this case is €3.9b. To get the intrinsic value per share, we divide this by the total number of shares outstanding. Relative to the current share price of €42.0, the company appears about fair value at a 6.1% discount to where the stock price trades currently. The assumptions in any calculation have a big impact on the valuation, so it is better to view this as a rough estimate, not precise down to the last cent.

Important 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 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 5.0%, which is based on a levered beta of 1.123. 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.

Moving On:

Whilst important, the DCF calculation ideally won't be the sole piece of analysis you scrutinize 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 instance, if the terminal value growth rate is adjusted slightly, it can dramatically alter the overall result. For Arcadis, we've put together three pertinent factors you should consider:

1. Risks: You should be aware of the 1 warning sign for Arcadis we've uncovered before considering an investment in the company.
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.

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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.