Calculating The Intrinsic Value Of PSI Software AG (ETR:PSAN)

Key Insights

• Using the 2 Stage Free Cash Flow to Equity, PSI Software fair value estimate is €33.05
• With €27.80 share price, PSI Software appears to be trading close to its estimated fair value
• Our fair value estimate is 14% lower than PSI Software's analyst price target of €38.33

Does the April share price for PSI Software AG (ETR:PSAN) 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. 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.

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 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 PSI Software

The Model

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.

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

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = €211m

After calculating the present value of future cash flows in the initial 10-year period, we need to calculate the Terminal Value, which accounts for all future cash flows beyond 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 6.3%.

Terminal Value (TV)= FCF₂₀₃₂ × (1 + g) ÷ (r – g) = €34m× (1 + 0.2%) ÷ (6.3%– 0.2%) = €553m

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= €553m÷ ( 1 + 6.3%)¹⁰= €301m

The total value, or equity value, is then the sum of the present value of the future cash flows, which in this case is €512m. To get the intrinsic value per share, we divide this by the total number of shares outstanding. Relative to the current share price of €27.8, the company appears about fair value at a 16% discount to where the stock price trades currently. 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. 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 PSI Software 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 6.3%, which is based on a levered beta of 1.028. 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 PSI Software

Looking Ahead:

Valuation is only one side of the coin in terms of building your investment thesis, and 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. 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 PSI Software, we've compiled three fundamental factors you should look at:

1. Risks: For instance, we've identified 1 warning sign for PSI Software that you should be aware of.
2. Future Earnings: How does PSAN'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. The Simply Wall St app conducts a discounted cash flow valuation for every stock on the XTRA every day. If you want to find the calculation for other stocks 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.