Federal Signal Corporation (NYSE:FSS) Shares Could Be 23% Below Their Intrinsic Value Estimate

Does the October share price for Federal Signal Corporation (NYSE:FSS) reflect what it's really worth? Today, we will estimate the stock's intrinsic value by taking the expected future cash flows and discounting them to today's value. We will take advantage of the Discounted Cash Flow (DCF) model for this purpose. Don't get put off by the jargon, the math behind it is actually quite straightforward.

Companies can be valued in a lot of ways, so we would point out that a DCF is not perfect for every situation. 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 Federal Signal

What's the estimated valuation?

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. 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.

Generally we assume that a dollar today is more valuable than a dollar in the future, 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$1.1b

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. 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 8.6%.

Terminal Value (TV)= FCF₂₀₃₀ × (1 + g) ÷ (r – g) = US$196m× (1 + 2.2%) ÷ (8.6%– 2.2%) = US$3.1b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= US$3.1b÷ ( 1 + 8.6%)¹⁰= US$1.4b

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$2.4b. The last step is to then divide the equity value by the number of shares outstanding. Relative to the current share price of US$31.0, the company appears a touch undervalued at a 23% 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.

Important assumptions

The calculation above is very dependent on two assumptions. The first is the discount rate and the other is the 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 Federal Signal 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 8.6%, which is based on a levered beta of 1.067. 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.

Looking Ahead:

Valuation is only one side of the coin in terms of building your investment thesis, and it is only one of many factors that you need to assess 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. For example, changes in the company's cost of equity or the risk free rate can significantly impact the valuation. What is the reason for the share price sitting below the intrinsic value? For Federal Signal, we've put together three relevant aspects you should further examine:

1. Risks: For example, we've discovered 1 warning sign for Federal Signal that you should be aware of before investing here.

2. Management:Have insiders been ramping up their shares to take advantage of the market's sentiment for FSS's future outlook? Check out our management and board analysis with insights on CEO compensation and governance factors.

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.

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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