Today we’ll do a simple run through of a valuation method used to estimate the attractiveness of Armstrong World Industries, Inc. (NYSE:AWI) as an investment opportunity by taking the expected future cash flows and discounting them to today’s value. This will be done using the Discounted Cash Flow (DCF) model. Believe it or not, it’s not too difficult to follow, as you’ll see from our example!
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.
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. 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
|Levered FCF ($, Millions)||US$185.2m||US$251.8m||US$285.3m||US$313.7m||US$337.7m||US$358.0m||US$375.5m||US$390.8m||US$404.6m||US$417.3m|
|Growth Rate Estimate Source||Analyst x3||Analyst x2||Est @ 13.29%||Est @ 9.97%||Est @ 7.65%||Est @ 6.02%||Est @ 4.88%||Est @ 4.08%||Est @ 3.52%||Est @ 3.13%|
|Present Value ($, Millions) Discounted @ 9.9%||US$169||US$209||US$215||US$215||US$211||US$203||US$194||US$184||US$173||US$163|
(“Est” = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = US$1.9b
We now need to calculate the Terminal Value, which accounts for all the future cash flows after this ten year period. 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 (2.2%) 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 9.9%.
Terminal Value (TV)= FCF2030 × (1 + g) ÷ (r – g) = US$417m× (1 + 2.2%) ÷ (9.9%– 2.2%) = US$5.6b
Present Value of Terminal Value (PVTV)= TV / (1 + r)10= US$5.6b÷ ( 1 + 9.9%)10= US$2.2b
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$4.1b. The last step is to then divide the equity value by the number of shares outstanding. Compared to the current share price of US$77.0, the company appears about fair value at a 10% 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.
The calculation above is very dependent on two assumptions. The first is the discount rate and the other is the cash flows. Part of investing is coming up with your own evaluation of a company’s future performance, so try the calculation yourself and check your own assumptions. 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 9.9%, which is based on a levered beta of 1.274. 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. DCF models are not the be-all and end-all of investment valuation. Rather it should be seen as a guide to “what assumptions need to be true for this stock to be under/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 Armstrong World Industries, we’ve compiled three additional factors you should assess:
- Risks: You should be aware of the 1 warning sign for Armstrong World Industries we’ve uncovered before considering an investment in the company.
- 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.
- 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. The Simply Wall St app conducts a discounted cash flow valuation for every stock on the NYSE 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. 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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