Estimating The Fair Value Of Legrand SA (EPA:LR)

Today we will run through one way of estimating the intrinsic value of Legrand SA (EPA:LR) by projecting its future cash flows and then discounting them to today's value. We will use the Discounted Cash Flow (DCF) model on this occasion. Models like these may appear beyond the comprehension of a lay person, but they're fairly easy to follow.

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. Anyone interested in learning a bit more about intrinsic value should have a read of the Simply Wall St analysis model.

See our latest analysis for Legrand

Crunching the numbers

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. To begin with, we have to get estimates of 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.

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) = €10.0b

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 0.4%. We discount the terminal cash flows to today's value at a cost of equity of 6.9%.

Terminal Value (TV)= FCF₂₀₃₁ × (1 + g) ÷ (r – g) = €1.7b× (1 + 0.4%) ÷ (6.9%– 0.4%) = €26b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= €26b÷ ( 1 + 6.9%)¹⁰= €13b

The total value, or equity value, is then the sum of the present value of the future cash flows, which in this case is €23b. In the final step we divide the equity value by the number of shares outstanding. Compared to the current share price of €96.9, the company appears around fair value at the time of writing. Remember though, that this is just an approximate valuation, and like any complex formula - garbage in, garbage out.

The 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 Legrand 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 6.9%, which is based on a levered beta of 1.253. 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.

Moving On:

Although the valuation of a company is important, it ideally won't be the sole piece of analysis you scrutinize for a company. The DCF model is not a perfect stock valuation tool. 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. 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 Legrand, we've compiled three further items you should assess:

1. Risks: Every company has them, and we've spotted 1 warning sign for Legrand you should know about.
2. Future Earnings: How does LR'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 ENXTPA 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.
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