# Calculating The Intrinsic Value Of Dassault Systèmes SE (EPA:DSY)

By
Simply Wall St
Published
March 22, 2021

In this article we are going to estimate the intrinsic value of Dassault Systèmes SE (EPA:DSY) by estimating the company's future cash flows and discounting them to their present value. Our analysis will employ the Discounted Cash Flow (DCF) model. 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 would caution that there are many ways of valuing a company and, like the DCF, each technique has advantages and disadvantages in certain scenarios. 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.

Check out our latest analysis for Dassault Systèmes

### 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. 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 discount the value of these future cash flows to their estimated value in today's dollars:

#### 10-year free cash flow (FCF) estimate

 2021 2022 2023 2024 2025 2026 2027 2028 2029 2030 Levered FCF (€, Millions) €1.18b €1.33b €1.51b €2.07b €2.34b €2.56b €2.73b €2.86b €2.95b €3.03b Growth Rate Estimate Source Analyst x12 Analyst x12 Analyst x9 Analyst x1 Est @ 13.11% Est @ 9.3% Est @ 6.64% Est @ 4.77% Est @ 3.47% Est @ 2.55% Present Value (€, Millions) Discounted @ 6.4% €1.1k €1.2k €1.3k €1.6k €1.7k €1.8k €1.8k €1.7k €1.7k €1.6k

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = €15b

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 (0.4%) 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 6.4%.

Terminal Value (TV)= FCF2030 × (1 + g) ÷ (r – g) = €3.0b× (1 + 0.4%) ÷ (6.4%– 0.4%) = €51b

Present Value of Terminal Value (PVTV)= TV / (1 + r)10= €51b÷ ( 1 + 6.4%)10= €28b

The total value, or equity value, is then the sum of the present value of the future cash flows, which in this case is €43b. To get the intrinsic value per share, we divide this by the total number of shares outstanding. Relative to the current share price of €177, the company appears around fair value at the time of writing. 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.

### 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 Dassault Systèmes 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 6.4%, which is based on a levered beta of 0.997. 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 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 example, changes in the company's cost of equity or the risk free rate can significantly impact the valuation. For Dassault Systèmes, we've put together three relevant aspects you should assess:

1. Risks: Case in point, we've spotted 1 warning sign for Dassault Systèmes you should be aware of.
2. Future Earnings: How does DSY'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. 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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