Calculating The Fair Value Of Deutsche EuroShop AG (ETR:DEQ)

Key Insights

• Using the 2 Stage Free Cash Flow to Equity, Deutsche EuroShop fair value estimate is €19.63
• Deutsche EuroShop's €18.94 share price indicates it is trading at similar levels as its fair value estimate
• Our fair value estimate is 14% lower than Deutsche EuroShop's analyst price target of €22.83

Today we'll do a simple run through of a valuation method used to estimate the attractiveness of Deutsche EuroShop AG (ETR:DEQ) as an investment opportunity by taking the forecast future cash flows of the company and discounting them back to today's value. We will take advantage of the Discounted Cash Flow (DCF) model for this purpose. Believe it or not, it's not too difficult to follow, as you'll see from our example!

We generally believe that a company's value is the present value of all of the cash it will generate in the future. However, a DCF is just one valuation metric among many, and it is not without flaws. 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 Deutsche EuroShop

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 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.

A DCF is all about the idea that a dollar in the future is less valuable than a dollar today, 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

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = €787m

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. 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 (1.0%) 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 8.3%.

Terminal Value (TV)= FCF₂₀₃₄ × (1 + g) ÷ (r – g) = €112m× (1 + 1.0%) ÷ (8.3%– 1.0%) = €1.5b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= €1.5b÷ ( 1 + 8.3%)¹⁰= €690m

The total value, or equity value, is then the sum of the present value of the future cash flows, which in this case is €1.5b. In the final step we divide the equity value by the number of shares outstanding. Relative to the current share price of €18.9, the company appears about fair value at a 3.5% 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

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. If you don't agree with these result, have a go at the calculation yourself and play with the 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 Deutsche EuroShop 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 8.3%, which is based on a levered beta of 1.787. 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 Deutsche EuroShop

Looking Ahead:

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. Rather it should be seen as a guide to "what assumptions need to be true for this stock to be under/overvalued?" For instance, if the terminal value growth rate is adjusted slightly, it can dramatically alter the overall result. For Deutsche EuroShop, we've compiled three important factors you should consider:

1. Risks: As an example, we've found 2 warning signs for Deutsche EuroShop that you need to consider before investing here.
2. Future Earnings: How does DEQ'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 High Quality Alternatives: Do you like a good all-rounder? Explore our interactive list of high quality stocks to get an idea of what else is out there you may be missing!

PS. The Simply Wall St app conducts a discounted cash flow valuation for every stock on the XTRA 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.