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

Key Insights

• Dassault Systèmes' estimated fair value is €34.24 based on 2 Stage Free Cash Flow to Equity
• Current share price of €38.72 suggests Dassault Systèmes is potentially trading close to its fair value
• Our fair value estimate is 18% lower than Dassault Systèmes' analyst price target of €41.84

How far off is Dassault Systèmes SE (EPA:DSY) from its intrinsic value? Using the most recent financial data, we'll take a look at whether the stock is fairly priced by projecting its future cash flows and then discounting them to today's value. This will be done using the Discounted Cash Flow (DCF) model. 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. If you still have some burning questions about this type of valuation, take a look at the Simply Wall St analysis model.

See our latest analysis for Dassault Systèmes

Is Dassault Systèmes Fairly Valued?

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 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, and so the sum of these future cash flows is then discounted to today's value:

10-year free cash flow (FCF) estimate

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = €17b

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 0.7%. We discount the terminal cash flows to today's value at a cost of equity of 6.5%.

Terminal Value (TV)= FCF₂₀₃₃ × (1 + g) ÷ (r – g) = €3.0b× (1 + 0.7%) ÷ (6.5%– 0.7%) = €52b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= €52b÷ ( 1 + 6.5%)¹⁰= €28b

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 €45b. The last step is to then divide the equity value by the number of shares outstanding. Relative to the current share price of €38.7, the company appears around fair value at the time of writing. Remember though, that this is just an approximate valuation, and like any complex formula - garbage in, garbage out.

The Assumptions

We would point out that the most important inputs to a discounted cash flow are the discount rate and of course the actual 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 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 6.5%, which is based on a levered beta of 1.003. 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.

SWOT Analysis for Dassault Systèmes

Moving On:

Valuation is only one side of the coin in terms of building your investment thesis, and it ideally won't be the sole piece of analysis you scrutinize for a company. It's not possible to obtain a foolproof valuation with a DCF model. 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 Dassault Systèmes, we've put together three important items you should further research:

1. Financial Health: Does DSY 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 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. The Simply Wall St app conducts a discounted cash flow valuation for every stock on the ENXTPA every day. If you want to find the calculation for other stocks 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.