Is There An Opportunity With Arch Resources, Inc.'s (NYSE:ARCH) 26% Undervaluation?

Key Insights

• Using the 2 Stage Free Cash Flow to Equity, Arch Resources fair value estimate is US$156
• Arch Resources is estimated to be 26% undervalued based on current share price of US$115
• Analyst price target for ARCH is US$176, which is 12% above our fair value estimate

Today we will run through one way of estimating the intrinsic value of Arch Resources, Inc. (NYSE:ARCH) by taking the expected future cash flows and discounting them to their present value. One way to achieve this is by employing 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. For those who are keen learners of equity analysis, the Simply Wall St analysis model here may be something of interest to you.

View our latest analysis for Arch Resources

The Method

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.

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$1.9b

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 (2.1%) 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 9.1%.

Terminal Value (TV)= FCF₂₀₃₂ × (1 + g) ÷ (r – g) = US$159m× (1 + 2.1%) ÷ (9.1%– 2.1%) = US$2.3b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= US$2.3b÷ ( 1 + 9.1%)¹⁰= US$973m

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$2.9b. To get the intrinsic value per share, we divide this by the total number of shares outstanding. Relative to the current share price of US$115, the company appears a touch undervalued at a 26% 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.

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 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 9.1%, which is based on a levered beta of 1.177. 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

Looking Ahead:

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. The DCF model is not a perfect stock valuation tool. 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. Can we work out why the company is trading at a discount to intrinsic value? For Arch Resources, we've compiled three pertinent items you should further research:

1. Risks: Take risks, for example - Arch Resources has 4 warning signs (and 2 which shouldn't be ignored) we think you should know about.
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 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.