# Calculating The Fair Value Of Leggett & Platt, Incorporated (NYSE:LEG)

Today we will run through one way of estimating the intrinsic value of Leggett & Platt, Incorporated (NYSE:LEG) by taking the expected future cash flows and discounting them to their present value. The Discounted Cash Flow (DCF) model is the tool we will apply to do this. Models like these may appear beyond the comprehension of a lay person, but they're fairly easy to follow.

Remember though, that there are many ways to estimate a company's value, and a DCF is just one method. 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.

### Step by step through 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. 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.

Generally we assume that a dollar today is more valuable than a dollar in the future, 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) US\$299.0m US\$405.0m US\$451.0m US\$514.0m US\$540.0m US\$560.5m US\$578.8m US\$595.5m US\$611.3m US\$626.3m Growth Rate Estimate Source Analyst x1 Analyst x1 Analyst x1 Analyst x1 Analyst x1 Est @ 3.79% Est @ 3.27% Est @ 2.9% Est @ 2.64% Est @ 2.46% Present Value (\$, Millions) Discounted @ 9.3% US\$273 US\$339 US\$345 US\$360 US\$346 US\$328 US\$310 US\$292 US\$274 US\$257

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = US\$3.1b

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 (2.0%) 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 9.3%.

Terminal Value (TV)= FCF2030 × (1 + g) ÷ (r – g) = US\$626m× (1 + 2.0%) ÷ (9.3%– 2.0%) = US\$8.8b

Present Value of Terminal Value (PVTV)= TV / (1 + r)10= US\$8.8b÷ ( 1 + 9.3%)10= US\$3.6b

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 US\$6.7b. In the final step we divide the equity value by the number of shares outstanding. Compared to the current share price of US\$50.3, the company appears about fair value at a 0.4% discount to where the stock price trades currently. Remember though, that this is just an approximate valuation, and like any complex formula - garbage in, garbage out.

### 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. 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 Leggett & Platt 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 9.3%, which is based on a levered beta of 1.394. 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.

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. It's not possible to obtain a foolproof valuation with a DCF model. Rather it should be seen as a guide to "what assumptions need to be true for this stock to be under/overvalued?" For example, changes in the company's cost of equity or the risk free rate can significantly impact the valuation. For Leggett & Platt, we've compiled three essential items you should look at:

1. Risks: As an example, we've found 2 warning signs for Leggett & Platt that you need to consider before investing here.
2. Future Earnings: How does LEG'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 Solid Businesses: Low debt, high returns on equity and good past performance are fundamental to a strong business. Why not explore our interactive list of stocks with solid business fundamentals to see if there are other companies you may not have considered!

PS. Simply Wall St updates its DCF calculation for every American stock every day, so if you want to find the intrinsic value of any other stock just search here.

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.

Have feedback on this article? Concerned about the content? Get in touch with us directly. Alternatively, email editorial-team (at) simplywallst.com.

The views and opinions expressed herein are the views and opinions of the author and do not necessarily reflect those of Nasdaq, Inc.

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