Calculating The Intrinsic Value Of KPS AG (ETR:KSC)

Today we'll do a simple run through of a valuation method used to estimate the attractiveness of KPS AG (ETR:KSC) as an investment opportunity by estimating the company's 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 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 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.

Check out our latest analysis for KPS

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) estimate

	2021	2022	2023	2024	2025	2026	2027	2028	2029	2030
Levered FCF (€, Millions)	€15.1m	€12.9m	€15.7m	€13.5m	€13.3m	€13.2m	€13.2m	€13.2m	€13.2m	€13.2m
Growth Rate Estimate Source	Analyst x4	Analyst x4	Analyst x4	Analyst x1	Analyst x1	Est @ -0.41%	Est @ -0.27%	Est @ -0.17%	Est @ -0.09%	Est @ -0.05%
Present Value (€, Millions) Discounted @ 6.6%	€14.2	€11.3	€12.9	€10.4	€9.6	€9.0	€8.4	€7.9	€7.4	€6.9

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = €98m

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 (0.07%) 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 6.6%.

Terminal Value (TV)= FCF₂₀₃₀ × (1 + g) ÷ (r – g) = €13m× (1 + 0.07%) ÷ (6.6%– 0.07%) = €201m

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= €201m÷ ( 1 + 6.6%)¹⁰= €106m

The total value, or equity value, is then the sum of the present value of the future cash flows, which in this case is €204m. The last step is to then divide the equity value by the number of shares outstanding. Compared to the current share price of €5.2, the company appears about fair value at a 4.1% 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

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 KPS 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 6.6%, which is based on a levered beta of 1.255. 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.

Next Steps:

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. The DCF model is not a perfect stock valuation tool. 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 KPS, we've compiled three additional elements you should explore:

1. Risks: Be aware that KPS is showing 2 warning signs in our investment analysis , you should know about...
2. Future Earnings: How does KSC'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. 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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