Calculating The Intrinsic Value Of Compagnie des Alpes SA (EPA:CDA)

Today we will run through one way of estimating the intrinsic value of Compagnie des Alpes SA (EPA:CDA) by taking the forecast future cash flows of the company and discounting them back to today's value. Our analysis will employ the Discounted Cash Flow (DCF) model. 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 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. For those who are keen learners of equity analysis, the Simply Wall St analysis model here may be something of interest to you.

View our latest analysis for Compagnie des Alpes

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. 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)	-€54.2m	€25.5m	€36.4m	€47.4m	€57.5m	€66.1m	€73.1m	€78.7m	€82.9m	€86.2m
Growth Rate Estimate Source	Analyst x2	Analyst x4	Est @ 42.91%	Est @ 30.16%	Est @ 21.24%	Est @ 14.99%	Est @ 10.62%	Est @ 7.56%	Est @ 5.42%	Est @ 3.92%
Present Value (€, Millions) Discounted @ 11%	-€49.0	€20.8	€26.9	€31.6	€34.7	€36.0	€36.0	€35.0	€33.4	€31.3

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = €236m

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 (0.4%) 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 11%.

Terminal Value (TV)= FCF₂₀₃₀ × (1 + g) ÷ (r – g) = €86m× (1 + 0.4%) ÷ (11%– 0.4%) = €846m

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= €846m÷ ( 1 + 11%)¹⁰= €307m

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 €543m. The last step is to then divide the equity value by the number of shares outstanding. Relative to the current share price of €19.6, the company appears about fair value at a 12% 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. 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 Compagnie des Alpes 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 11%, which is based on a levered beta of 1.717. 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 ideally won't be the sole piece of analysis you scrutinize for a company. The DCF model is not a perfect stock valuation tool. 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. 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 Compagnie des Alpes, we've compiled three important aspects you should consider:

1. Risks: To that end, you should be aware of the 3 warning signs we've spotted with Compagnie des Alpes .
2. Future Earnings: How does CDA'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 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. 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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