# Calculating The Intrinsic Value Of Aurea SA (EPA:AURE)

By
Simply Wall St
Published
May 21, 2021

In this article we are going to estimate the intrinsic value of Aurea SA (EPA:AURE) by taking the expected future cash flows and discounting them to their present value. Our analysis will employ the Discounted Cash Flow (DCF) model. Believe it or not, it's not too difficult to follow, as you'll see from our example!

Remember though, that there are many ways to estimate a company's value, and a DCF is just one method. If you still have some burning questions about this type of valuation, take a look at the Simply Wall St analysis model.

View our latest analysis for Aurea

### Step by step through the calculation

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. In the first stage we need to estimate the cash flows to the business over the next ten years. 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, and so the sum of these future cash flows is then discounted to today's value:

#### 10-year free cash flow (FCF) forecast

 2021 2022 2023 2024 2025 2026 2027 2028 2029 2030 Levered FCF (€, Millions) €2.20m €4.90m €4.40m €4.09m €3.89m €3.76m €3.68m €3.63m €3.59m €3.57m Growth Rate Estimate Source Analyst x1 Analyst x1 Est @ -10.27% Est @ -7.08% Est @ -4.85% Est @ -3.29% Est @ -2.19% Est @ -1.43% Est @ -0.89% Est @ -0.52% Present Value (€, Millions) Discounted @ 7.1% €2.1 €4.3 €3.6 €3.1 €2.8 €2.5 €2.3 €2.1 €1.9 €1.8

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = €26m

The second stage is also known as Terminal Value, this is the business's cash flow after 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 (0.4%) 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 7.1%.

Terminal Value (TV)= FCF2030 × (1 + g) ÷ (r – g) = €3.6m× (1 + 0.4%) ÷ (7.1%– 0.4%) = €53m

Present Value of Terminal Value (PVTV)= TV / (1 + r)10= €53m÷ ( 1 + 7.1%)10= €27m

The total value, or equity value, is then the sum of the present value of the future cash flows, which in this case is €53m. To get the intrinsic value per share, we divide this by the total number of shares outstanding. Compared to the current share price of €6.6, 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.

### 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 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 7.1%, which is based on a levered beta of 1.305. 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.

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 Aurea, we've compiled three fundamental items you should look at:

1. Risks: As an example, we've found 3 warning signs for Aurea that you need to consider before investing here.
2. Future Earnings: How does AURE'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 French stock every day, so if you want to find the intrinsic value of any other stock just search here.

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