Estimating The Fair Value Of Amadeus FiRe AG (ETR:AAD)

Today we'll do a simple run through of a valuation method used to estimate the attractiveness of Amadeus FiRe AG (ETR:AAD) as an investment opportunity by taking the forecast future cash flows of the company and discounting them back to today's value. The Discounted Cash Flow (DCF) model is the tool we will apply to do this. 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.

View our latest analysis for Amadeus FiRe

Crunching the numbers

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 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

	2021	2022	2023	2024	2025	2026	2027	2028	2029	2030
Levered FCF (€, Millions)	€37.2m	€36.3m	€35.7m	€35.4m	€35.1m	€34.9m	€34.8m	€34.7m	€34.7m	€34.7m
Growth Rate Estimate Source	Analyst x1	Analyst x1	Est @ -1.56%	Est @ -1.07%	Est @ -0.73%	Est @ -0.49%	Est @ -0.32%	Est @ -0.2%	Est @ -0.12%	Est @ -0.06%
Present Value (€, Millions) Discounted @ 5.5%	€35.3	€32.6	€30.4	€28.6	€26.9	€25.4	€24.0	€22.7	€21.5	€20.3

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = €267m

We now need to calculate the Terminal Value, which accounts for all the future cash flows after this ten year period. 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 (0.07%) 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 5.5%.

Terminal Value (TV)= FCF₂₀₃₀ × (1 + g) ÷ (r – g) = €35m× (1 + 0.07%) ÷ (5.5%– 0.07%) = €641m

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= €641m÷ ( 1 + 5.5%)¹⁰= €376m

The total value, or equity value, is then the sum of the present value of the future cash flows, which in this case is €643m. In the final step we divide the equity value by the number of shares outstanding. Compared to the current share price of €119, 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 Amadeus FiRe 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 5.5%, which is based on a levered beta of 1.035. 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:

Valuation is only one side of the coin in terms of building your investment thesis, and it 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 instance, if the terminal value growth rate is adjusted slightly, it can dramatically alter the overall result. For Amadeus FiRe, we've put together three important elements you should further research:

1. Risks: Consider for instance, the ever-present spectre of investment risk. We've identified 3 warning signs with Amadeus FiRe , and understanding these should be part of your investment process.
2. Future Earnings: How does AAD'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. 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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