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# Calculating The Fair Value Of SAP SE (FRA:SAP)

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In this article we are going to estimate the intrinsic value of SAP SE (FRA:SAP) by taking the expected future cash flows and discounting them to today's value. I will be using the Discounted Cash Flow (DCF) model. It may sound complicated, but actually it is quite simple!

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. 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.

### The method

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. To start off with, we need to estimate the next ten years of cash flows. 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, so we discount the value of these future cash flows to their estimated value in today's dollars:

#### 10-year free cash flow (FCF) estimate

 2019 2020 2021 2022 2023 2024 2025 2026 2027 2028 Levered FCF (â‚¬, Millions) â‚¬3.09k â‚¬4.68k â‚¬5.60k â‚¬6.66k â‚¬7.75k â‚¬8.58k â‚¬9.23k â‚¬9.72k â‚¬10.09k â‚¬10.37k Growth Rate Estimate Source Analyst x13 Analyst x21 Analyst x15 Analyst x3 Analyst x2 Est @ 10.67% Est @ 7.54% Est @ 5.35% Est @ 3.81% Est @ 2.74% Present Value (â‚¬, Millions) Discounted @ 7.13% â‚¬2.88k â‚¬4.08k â‚¬4.55k â‚¬5.06k â‚¬5.49k â‚¬5.68k â‚¬5.70k â‚¬5.60k â‚¬5.43k â‚¬5.21k

Present Value of 10-year Cash Flow (PVCF)= â‚¬49.67b

"Est" = FCF growth rate estimated by Simply Wall St

We now need to calculate the Terminal Value, which accounts for all the future cash flows after this ten year period. 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 10-year government bond rate (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 7.1%.

Terminal Value (TV) = FCF2029 Ã— (1 + g) Ã· (r â€“ g) = â‚¬10b Ã— (1 + 0.2%) Ã· (7.1% â€“ 0.2%) = â‚¬150b

Present Value of Terminal Value (PVTV) = TV / (1 + r)10 = â‚¬â‚¬150b Ã· ( 1 + 7.1%)10 = â‚¬75.53b

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 â‚¬125.21b. To get the intrinsic value per share, we divide this by the total number of shares outstanding. This results in an intrinsic value estimate of â‚¬104.89. Relative to the current share price of â‚¬110.84, the company appears around fair value at the time of writing. Valuations are imprecise instruments though, rather like a telescope - move a few degrees and end up in a different galaxy. Do keep this in mind.

### The assumptions

Now 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 SAP 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 7.1%, which is based on a levered beta of 1.159. 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 shouldnâ€™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?" 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 SAP, There are three essential factors you should look at:

1. Financial Health: Does SAP have a healthy balance sheet? Take a look at our free balance sheet analysis with six simple checks on key factors like leverage and risk.
2. Future Earnings: How does SAP'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: Are there other high quality stocks you could be holding instead of SAP? 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 FRA every day. If you want to find the calculation for other stocks just search here.

We aim to bring you long-term focused research analysis driven by fundamental data. Note that our analysis may not factor in the latest price-sensitive company announcements or qualitative material.

If you spot an error that warrants correction, please contact the editor at editorial-team@simplywallst.com. 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. Simply Wall St has no position in the stocks mentioned. Thank you for reading.