Is Arch Resources, Inc. (NYSE:ARCH) Trading At A 41% Discount?

Key Insights

• The projected fair value for Arch Resources is US$284 based on 2 Stage Free Cash Flow to Equity
• Arch Resources' US$167 share price signals that it might be 41% undervalued
• Our fair value estimate is 48% higher than Arch Resources' analyst price target of US$192

How far off is Arch Resources, Inc. (NYSE:ARCH) from its intrinsic value? Using the most recent financial data, we'll take a look at whether the stock is fairly priced 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. Don't get put off by the jargon, the math behind it is actually quite straightforward.

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.

Check out our latest analysis for Arch Resources

Step By Step Through The Calculation

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 begin with, we have to get estimates of 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.

A DCF is all about the idea that a dollar in the future is less valuable than a dollar today, so we discount the value of these future cash flows to their estimated value in today's dollars:

10-year free cash flow (FCF) forecast

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = US$2.5b

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 (2.2%) 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 7.9%.

Terminal Value (TV)= FCF₂₀₃₃ × (1 + g) ÷ (r – g) = US$321m× (1 + 2.2%) ÷ (7.9%– 2.2%) = US$5.8b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= US$5.8b÷ ( 1 + 7.9%)¹⁰= US$2.7b

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$5.2b. In the final step we divide the equity value by the number of shares outstanding. Compared to the current share price of US$167, the company appears quite undervalued at a 41% 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

Now 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 Arch Resources 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 7.9%, which is based on a levered beta of 1.133. 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 Arch Resources

Next Steps:

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. Can we work out why the company is trading at a discount to intrinsic value? For Arch Resources, we've put together three relevant elements you should further research:

1. Risks: Be aware that Arch Resources is showing 3 warning signs in our investment analysis , and 2 of those can't be ignored...
2. Future Earnings: How does ARCH'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. 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. 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.