Estimating The Intrinsic Value Of Artmarket.com (EPA:PRC)

How far off is Artmarket.com (EPA:PRC) 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 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 still have some burning questions about this type of valuation, take a look at the Simply Wall St analysis model.

See our latest analysis for Artmarket.com

The Calculation

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. 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.

Generally we assume that a dollar today is more valuable than a dollar in the future, so we discount the value of these future cash flows to their estimated value in today's dollars:

10-year free cash flow (FCF) forecast

	2023	2024	2025	2026	2027	2028	2029	2030	2031	2032
Levered FCF (€, Millions)	€1.45m	€1.64m	€1.79m	€1.91m	€2.00m	€2.07m	€2.12m	€2.16m	€2.19m	€2.22m
Growth Rate Estimate Source	Est @ 18.73%	Est @ 13.21%	Est @ 9.34%	Est @ 6.64%	Est @ 4.75%	Est @ 3.42%	Est @ 2.49%	Est @ 1.85%	Est @ 1.39%	Est @ 1.07%
Present Value (€, Millions) Discounted @ 5.4%	€1.4	€1.5	€1.5	€1.6	€1.5	€1.5	€1.5	€1.4	€1.4	€1.3

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = €14m

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 0.3%. We discount the terminal cash flows to today's value at a cost of equity of 5.4%.

Terminal Value (TV)= FCF₂₀₃₂ × (1 + g) ÷ (r – g) = €2.2m× (1 + 0.3%) ÷ (5.4%– 0.3%) = €44m

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= €44m÷ ( 1 + 5.4%)¹⁰= €26m

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 €40m. In the final step we divide the equity value by the number of shares outstanding. Relative to the current share price of €6.0, the company appears about fair value at a 0.07% discount to where the stock price trades currently. Remember though, that this is just an approximate valuation, and like any complex formula - garbage in, garbage out.

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. 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 Artmarket.com 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 5.4%, which is based on a levered beta of 1.064. 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:

Although the valuation of a company is important, it shouldn't be the only metric you look at when researching a company. DCF models are not the be-all and end-all of investment valuation. Rather it should be seen as a guide to "what assumptions need to be true for this stock to be under/overvalued?" For example, changes in the company's cost of equity or the risk free rate can significantly impact the valuation. For Artmarket.com, we've put together three additional factors you should look at:

1. Risks: For instance, we've identified 1 warning sign for Artmarket.com that you should be aware of.
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.