Arch Resources, Inc.'s (NYSE:ARCH) Intrinsic Value Is Potentially 72% Above Its Share Price

Key Insights

• The projected fair value for Arch Resources is US$284 based on 2 Stage Free Cash Flow to Equity
• Current share price of US$165 suggests Arch Resources is potentially 42% undervalued
• Analyst price target for ARCH is US$182 which is 36% below our fair value estimate

Today we'll do a simple run through of a valuation method used to estimate the attractiveness of Arch Resources, Inc. (NYSE:ARCH) as an investment opportunity by taking the expected future cash flows and discounting them to their present 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.

Companies can be valued in a lot of ways, so we would point out that a DCF is not perfect for every situation. If you still have some burning questions about this type of valuation, take a look at the Simply Wall St analysis model.

Check out our latest analysis for Arch Resources

Crunching The Numbers

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. 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.

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) forecast

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = US$2.2b

We now need to calculate the Terminal Value, which accounts for all the future cash flows after this ten year period. The Gordon Growth formula is used to calculate Terminal Value at a future annual growth rate equal to the 5-year average of the 10-year government bond yield of 2.4%. We discount the terminal cash flows to today's value at a cost of equity of 7.7%.

Terminal Value (TV)= FCF₂₀₃₃ × (1 + g) ÷ (r – g) = US$315m× (1 + 2.4%) ÷ (7.7%– 2.4%) = US$6.1b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= US$6.1b÷ ( 1 + 7.7%)¹⁰= US$2.9b

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. 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$165, the company appears quite good value at a 42% 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

Now the most important inputs to a discounted cash flow are the discount rate, and of course, the actual 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 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 7.7%, which is based on a levered beta of 1.148. 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

Moving On:

Although the valuation of a company is important, 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?" 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 compiled three further elements you should further research:

1. Risks: Be aware that Arch Resources is showing 2 warning signs in our investment analysis , you should know about...
2. Management:Have insiders been ramping up their shares to take advantage of the market's sentiment for ARCH'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. 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.