Calculating The Fair Value Of CPI Europe AG (VIE:CPI)

Key Insights

• The projected fair value for CPI Europe is €19.65 based on 2 Stage Free Cash Flow to Equity
• With €18.00 share price, CPI Europe appears to be trading close to its estimated fair value

Today we will run through one way of estimating the intrinsic value of CPI Europe AG (VIE:CPI) by taking the expected future cash flows and discounting them to their present value. One way to achieve this is by employing the Discounted Cash Flow (DCF) model. Don't get put off by the jargon, the math behind it is actually quite straightforward.

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.

Our free stock report includes 1 warning sign investors should be aware of before investing in CPI Europe. Read for free now.

The Calculation

We use what is known as a 2-stage model, which simply means we have two different periods of growth rates for the company's cash flows. Generally the first stage is higher growth, and the second stage is a lower growth phase. 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

	2025	2026	2027	2028	2029	2030	2031	2032	2033	2034
Levered FCF (€, Millions)	€257.7m	€264.1m	€270.3m	€276.5m	€282.4m	€287.7m	€292.9m	€298.1m	€303.4m	€308.7m
Growth Rate Estimate Source	Analyst x1	Analyst x1	Analyst x1	Analyst x1	Analyst x1	Est @ 1.87%	Est @ 1.82%	Est @ 1.78%	Est @ 1.76%	Est @ 1.74%
Present Value (€, Millions) Discounted @ 11%	€231	€213	€195	€179	€164	€150	€137	€126	€115	€105

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = €1.6b

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 1.7%. We discount the terminal cash flows to today's value at a cost of equity of 11%.

Terminal Value (TV)= FCF₂₀₃₄ × (1 + g) ÷ (r – g) = €309m× (1 + 1.7%) ÷ (11%– 1.7%) = €3.2b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= €3.2b÷ ( 1 + 11%)¹⁰= €1.1b

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 €2.7b. In the final step we divide the equity value by the number of shares outstanding. Relative to the current share price of €18.0, the company appears about fair value at a 8.4% 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

Now 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 CPI Europe 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 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.

View our latest analysis for CPI Europe

SWOT Analysis for CPI Europe

Looking Ahead:

Whilst important, the DCF calculation 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. Rather it should be seen as a guide to "what assumptions need to be true for this stock to be under/overvalued?" For instance, if the terminal value growth rate is adjusted slightly, it can dramatically alter the overall result. For CPI Europe, we've put together three essential aspects you should explore:

1. Risks: Take risks, for example - CPI Europe has 1 warning sign we think you should be aware of.
2. Future Earnings: How does CPI'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 Austrian 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.