A Look At The Fair Value Of Deutsche EuroShop AG (ETR:DEQ)

Today we will run through one way of estimating the intrinsic value of Deutsche EuroShop AG (ETR:DEQ) 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. Don't get put off by the jargon, the math behind it is actually quite straightforward.

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 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 Deutsche EuroShop

What's the estimated valuation?

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.

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

	2021	2022	2023	2024	2025	2026	2027	2028	2029	2030
Levered FCF (€, Millions)	€137.8m	€143.1m	€136.4m	€132.0m	€129.0m	€127.0m	€125.6m	€124.7m	€124.1m	€123.7m
Growth Rate Estimate Source	Analyst x2	Analyst x2	Est @ -4.67%	Est @ -3.25%	Est @ -2.26%	Est @ -1.56%	Est @ -1.07%	Est @ -0.73%	Est @ -0.49%	Est @ -0.32%
Present Value (€, Millions) Discounted @ 9.6%	€126	€119	€104	€91.4	€81.5	€73.2	€66.1	€59.8	€54.3	€49.4

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = €824m

We now need to calculate the Terminal Value, which accounts for all the future cash flows after this ten year period. 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 0.07%. We discount the terminal cash flows to today's value at a cost of equity of 9.6%.

Terminal Value (TV)= FCF₂₀₃₀ × (1 + g) ÷ (r – g) = €124m× (1 + 0.07%) ÷ (9.6%– 0.07%) = €1.3b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= €1.3b÷ ( 1 + 9.6%)¹⁰= €518m

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 €1.3b. To get the intrinsic value per share, we divide this by the total number of shares outstanding. Compared to the current share price of €18.0, the company appears about fair value at a 17% 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.

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. 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 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 9.6%, which is based on a levered beta of 1.825. 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.

Looking Ahead:

Whilst important, the DCF calculation ideally won't be the sole piece of analysis you scrutinize for a company. The DCF model is not a perfect stock valuation tool. 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 Deutsche EuroShop, there are three additional items you should explore:

1. Risks: We feel that you should assess the 1 warning sign for Deutsche EuroShop we've flagged before making an investment in the company.
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 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 German 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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