Calculating The Fair Value Of Aurea SA (EPA:AURE)

How far off is Aurea SA (EPA:AURE) from its intrinsic value? Using the most recent financial data, we'll take a look at whether the stock is fairly priced by taking the expected future cash flows and discounting them to today's value. The Discounted Cash Flow (DCF) model is the tool we will apply to do this. There's really not all that much to it, even though it might appear quite complex.

Remember though, that there are many ways to estimate a company's value, and a DCF is just one method. For those who are keen learners of equity analysis, the Simply Wall St analysis model here may be something of interest to you.

Check out our latest analysis for Aurea

The model

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. In the first stage we need to estimate the cash flows to the business over the next ten years. Seeing as no analyst estimates of free cash flow are available to us, we have extrapolate the previous free cash flow (FCF) from the company's last 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, and so the sum of these future cash flows is then discounted to today's value:

10-year free cash flow (FCF) estimate

	2022	2023	2024	2025	2026	2027	2028	2029	2030	2031
Levered FCF (€, Millions)	€5.59m	€5.48m	€5.40m	€5.36m	€5.33m	€5.32m	€5.31m	€5.31m	€5.32m	€5.33m
Growth Rate Estimate Source	Est @ -3.05%	Est @ -2.05%	Est @ -1.34%	Est @ -0.85%	Est @ -0.5%	Est @ -0.26%	Est @ -0.09%	Est @ 0.02%	Est @ 0.11%	Est @ 0.16%
Present Value (€, Millions) Discounted @ 5.5%	€5.3	€4.9	€4.6	€4.3	€4.1	€3.9	€3.7	€3.5	€3.3	€3.1

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = €40m

The second stage is also known as Terminal Value, this is the business's cash flow after 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 0.3%. We discount the terminal cash flows to today's value at a cost of equity of 5.5%.

Terminal Value (TV)= FCF₂₀₃₁ × (1 + g) ÷ (r – g) = €5.3m× (1 + 0.3%) ÷ (5.5%– 0.3%) = €103m

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= €103m÷ ( 1 + 5.5%)¹⁰= €60m

The total value, or equity value, is then the sum of the present value of the future cash flows, which in this case is €100m. In the final step we divide the equity value by the number of shares outstanding. Compared to the current share price of €11.8, the company appears around fair value at the time of writing. 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.

The assumptions

The calculation above is very dependent on two assumptions. The first is the discount rate and the other is the 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 Aurea 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 1.099. 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.

Moving On:

Although the valuation of a company is important, it ideally won't be the sole piece of analysis you scrutinize for a company. DCF models are not the be-all and end-all of investment valuation. 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 Aurea, we've compiled three important aspects you should consider:

1. Risks: To that end, you should learn about the 3 warning signs we've spotted with Aurea (including 1 which shouldn't be ignored) .
2. 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!
3. Other Environmentally-Friendly Companies: Concerned about the environment and think consumers will buy eco-friendly products more and more? Browse through our interactive list of companies that are thinking about a greener future to discover some stocks you may not have thought of!

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. 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.