Estimating The Fair Value Of Armstrong World Industries, Inc. (NYSE:AWI)

Key Insights

• Using the 2 Stage Free Cash Flow to Equity, Armstrong World Industries fair value estimate is US$117
• With US$120 share price, Armstrong World Industries appears to be trading close to its estimated fair value
• The US$119 analyst price target for AWI is 1.7% more than our estimate of fair value

In this article we are going to estimate the intrinsic value of Armstrong World Industries, Inc. (NYSE:AWI) by taking the forecast future cash flows of the company and discounting them back to today's value. We will take advantage of the Discounted Cash Flow (DCF) model for this purpose. Before you think you won't be able to understand it, just read on! It's actually much less complex than you'd imagine.

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 still have some burning questions about this type of valuation, take a look at the Simply Wall St analysis model.

See our latest analysis for Armstrong World Industries

Is Armstrong World Industries Fairly Valued?

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. In the first stage we need to estimate the cash flows to the business over the next ten years. 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 need to discount the sum of these future cash flows to arrive at a present value estimate:

10-year free cash flow (FCF) estimate

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = US$2.0b

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 (2.3%) 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 7.8%.

Terminal Value (TV)= FCF₂₀₃₃ × (1 + g) ÷ (r – g) = US$358m× (1 + 2.3%) ÷ (7.8%– 2.3%) = US$6.7b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= US$6.7b÷ ( 1 + 7.8%)¹⁰= US$3.2b

The total value, or equity value, is then the sum of the present value of the future cash flows, which in this case is US$5.1b. The last step is to then divide the equity value by the number of shares outstanding. Compared to the current share price of US$120, the company appears around fair value at the time of writing. 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.

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 Armstrong World Industries 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 7.8%, which is based on a levered beta of 1.191. 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 Armstrong World Industries

Next Steps:

Valuation is only one side of the coin in terms of building your investment thesis, and it ideally won't be the sole piece of analysis you scrutinize for a company. DCF models are not the be-all and end-all of investment valuation. Preferably you'd apply different cases and assumptions and see how they would impact the company's valuation. 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 Armstrong World Industries, we've compiled three pertinent aspects you should further research:

1. Risks: For instance, we've identified 1 warning sign for Armstrong World Industries that you should be aware of.
2. Future Earnings: How does AWI'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. 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.

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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.