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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. 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 1.1%. We discount the terminal cash flows to today's value at a cost of equity of 9.8%.

Terminal Value (TV)= FCF₂₀₃₄ × (1 + g) ÷ (r – g) = €9.6b× (1 + 1.1%) ÷ (9.8%– 1.1%) = €112b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= €112b÷ ( 1 + 9.8%)¹⁰= €44b

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 €92b. The last step is to then divide the equity value by the number of shares outstanding. Relative to the current share price of €60.7, the company appears quite good value at a 37% 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.

Important Assumptions

The calculation above is very dependent on two assumptions. The first is the discount rate and the other is the 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 Mercedes-Benz Group 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 9.8%, 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 Mercedes-Benz Group

Strength

• Debt is well covered by earnings.

• Dividends are covered by earnings and cash flows.

• Dividend is in the top 25% of dividend payers in the market.

Weakness

• Earnings declined over the past year.

Opportunity

• Annual earnings are forecast to grow for the next 4 years.

• Good value based on P/E ratio and estimated fair value.

Threat

• Debt is not well covered by operating cash flow.

• Annual earnings are forecast to grow slower than the German market.

Next Steps:

Although the valuation of a company is important, it 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. 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. Can we work out why the company is trading at a discount to intrinsic value? For Mercedes-Benz Group, we've put together three fundamental factors you should assess:

1. Risks: For example, we've discovered 2 warning signs for Mercedes-Benz Group (1 can't be ignored!) that you should be aware of before investing here.

2. Future Earnings: How does MBG'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.