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# Legrand SA (EPA:LR) Investors Are Paying Above The Intrinsic Value

How far off is Legrand SA (EPA:LR) from its intrinsic value? Using the most recent financial data, I am going to take a look at whether the stock is fairly priced by estimating the companyâ€™s future cash flows and discounting them to their present value. I will use the Discounted Cash Flows (DCF) model. Donâ€™t get put off by the jargon, the math behind it is actually quite straightforward. Anyone interested in learning a bit more about intrinsic value should have a read of the Simply Wall St analysis model. If you are reading this and its not January 2019 then I highly recommend you check out the latest calculation for Legrand by following the link below.

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### The model

I use what is known as a 2-stage model, which simply means we have two different periods of varying growth rates for the companyâ€™s cash flows. Generally the first stage is higher growth, and the second stage is a more stable growth phase. To start off with we need to estimate the next five years of cash flows. For this I used the consensus of the analysts covering the stock, as you can see below. I then discount this to its value today and sum up the total to get the present value of these cash flows.

#### 5-year cash flow estimate

 2019 2020 2021 2022 2023 Levered FCF (â‚¬, Millions) â‚¬810.74 â‚¬863.32 â‚¬915.22 â‚¬970.23 â‚¬1.03k Source Analyst x9 Analyst x8 Est @ 6.01% Est @ 6.01% Est @ 6.01% Present Value Discounted @ 9.86% â‚¬738.01 â‚¬715.37 â‚¬690.34 â‚¬666.18 â‚¬642.87

Present Value of 5-year Cash Flow (PVCF)= â‚¬3.5b

We now need to calculate the Terminal Value, which accounts for all the future cash flows after the five years. For a number of reasons a very conservative growth rate is used that cannot exceed that of the GDP. In this case I have used the 10-year government bond rate (0.8%). In the same way as with the 5-year â€˜growthâ€™ period, we discount this to todayâ€™s value at a cost of equity of 9.9%.

Terminal Value (TV) = FCF2023 Ã— (1 + g) Ã· (r â€“ g) = â‚¬1.0b Ã— (1 + 0.8%) Ã· (9.9% â€“ 0.8%) = â‚¬11b

Present Value of Terminal Value (PVTV) = TV / (1 + r)5 = â‚¬11b Ã· ( 1 + 9.9%)5 = â‚¬7.1b

The total value is the sum of cash flows for the next five years and the discounted terminal value, which results in the Total Equity Value, which in this case is â‚¬11b. To get the intrinsic value per share, we divide this by the total number of shares outstanding, or the equivalent number if this is a depositary receipt or ADR. This results in an intrinsic value of â‚¬39.72. Relative to the current share price of â‚¬51.02, the stock is fair value, maybe slightly overvalued and not available at a discount at this time.

### Important assumptions

The calculation above is very dependent on two assumptions. The first is the discount rate and the other is the cash flows. If you donâ€™t agree with my result, have a go at the calculation yourself and play with the assumptions. Because 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 weighed average cost of capital, WACC) which accounts for debt. In this calculation Iâ€™ve used 9.9%, which is based on a levered beta of 0.984. This is derived from the Bottom-Up Beta method based on comparable companies, with an imposed limit between 0.8 and 2.0, which is a reasonable range for a stable business.

### Next Steps:

Although the valuation of a company is important, it shouldnâ€™t be the only metric you look at when researching a company. What is the reason for the share price to differ from the intrinsic value? For LR, Iâ€™ve put together three key aspects you should further examine:

1. Financial Health: Does LR 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 LRâ€™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 LR? 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 does a DCF calculation for every FR stock every 6 hours, so if you want to find the intrinsic value of any other stock just search here.

To help readers see past the short term volatility of the financial market, we aim to bring you a long-term focused research analysis purely driven by fundamental data. Note that our analysis does not factor in the latest price-sensitive company announcements.

The author is an independent contributor and at the time of publication had no position in the stocks mentioned. For errors that warrant correction please contact the editor at editorial-team@simplywallst.com.