An Intrinsic Calculation For Arch Resources, Inc. (NYSE:ARCH) Suggests It's 28% Undervalued
Does the October share price for Arch Resources, Inc. (NYSE:ARCH) 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 their present value. The Discounted Cash Flow (DCF) model is the tool we will apply to do this. 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. 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.
See our latest analysis for Arch Resources
Is Arch Resources Fairly Valued?
We use what is known as a 2-stage model, which simply means we have two different periods of growth rates for the company's cash flows. Generally the first stage is higher growth, and the second stage is a lower growth phase. 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, and so the sum of these future cash flows is then discounted to today's value:
10-year free cash flow (FCF) forecast
Levered FCF ($, Millions)
Growth Rate Estimate Source
Est @ -18.47%
Est @ -12.35%
Est @ -8.06%
Est @ -5.06%
Est @ -2.96%
Est @ -1.49%
Est @ -0.46%
Est @ 0.26%
Present Value ($, Millions) Discounted @ 7.1%
("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = US$1.6b
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 1.9%. We discount the terminal cash flows to today's value at a cost of equity of 7.1%.
Terminal Value (TV)= FCF2032 × (1 + g) ÷ (r – g) = US$143m× (1 + 1.9%) ÷ (7.1%– 1.9%) = US$2.8b
Present Value of Terminal Value (PVTV)= TV / (1 + r)10= US$2.8b÷ ( 1 + 7.1%)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$3.0b. In the final step we divide the equity value by the number of shares outstanding. Relative to the current share price of US$119, the company appears a touch undervalued at a 28% discount to where the stock price trades currently. Valuations are imprecise instruments though, rather like a telescope - move a few degrees and end up in a different galaxy. Do keep this in mind.
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 7.1%, which is based on a levered beta of 1.226. 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.
Although the valuation of a company is important, it ideally won't be the sole piece of analysis you scrutinize for a company. DCF models are not the be-all and end-all of investment valuation. 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. 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, there are three essential items you should consider:
Risks: To that end, you should learn about the 4 warning signs we've spotted with Arch Resources (including 2 which are potentially serious) .
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.
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.
Have feedback on this article? Concerned about the content? Get in touch with us directly. Alternatively, email editorial-team (at) simplywallst.com.
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.
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