Estimating The Fair Value Of paragon GmbH & Co. KGaA (ETR:PGN)

Key Insights

• Using the 2 Stage Free Cash Flow to Equity, paragon GmbH KGaA fair value estimate is €6.86
• paragon GmbH KGaA's €5.84 share price indicates it is trading at similar levels as its fair value estimate
• When compared to theindustry average discount to fair value of 23%, paragon GmbH KGaA's competitors seem to be trading at a greater discount

Does the March share price for paragon GmbH & Co. KGaA (ETR:PGN) reflect what it's really worth? Today, we will estimate the stock's intrinsic value 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. Models like these may appear beyond the comprehension of a lay person, but they're fairly easy to follow.

Companies can be valued in a lot of ways, so we would point out that a DCF is not perfect for every situation. 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 paragon GmbH KGaA

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. 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) forecast

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = €17m

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 (0.2%) 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 12%.

Terminal Value (TV)= FCF₂₀₃₂ × (1 + g) ÷ (r – g) = €5.2m× (1 + 0.2%) ÷ (12%– 0.2%) = €44m

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= €44m÷ ( 1 + 12%)¹⁰= €14m

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 €31m. To get the intrinsic value per share, we divide this by the total number of shares outstanding. Relative to the current share price of €5.8, the company appears about fair value at a 15% 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.

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 paragon GmbH KGaA 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 12%, which is based on a levered beta of 2.000. 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.

SWOT Analysis for paragon GmbH KGaA

Moving On:

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. 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. For example, changes in the company's cost of equity or the risk free rate can significantly impact the valuation. For paragon GmbH KGaA, we've put together three further items you should look at:

1. Risks: Be aware that paragon GmbH KGaA is showing 3 warning signs in our investment analysis , and 1 of those doesn't sit too well with us...
2. Future Earnings: How does PGN'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. 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.