Does the August share price for Arch Resources, Inc. (NYSE:ARCH) reflect what it's really worth? Today, we will estimate the stock's intrinsic value by estimating the company's future cash flows and discounting them to their present value. This will be done using the Discounted Cash Flow (DCF) model. 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. Anyone interested in learning a bit more about intrinsic value should have a read of the Simply Wall St analysis model.
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.
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) estimate
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
Levered FCF ($, Millions)
US$442.4m
US$330.5m
US$271.2m
US$239.2m
US$221.3m
US$211.3m
US$206.2m
US$204.3m
US$204.5m
US$206.2m
Growth Rate Estimate Source
Analyst x4
Analyst x2
Est @ -17.92%
Est @ -11.80%
Est @ -7.51%
Est @ -4.50%
Est @ -2.40%
Est @ -0.93%
Est @ 0.10%
Est @ 0.82%
Present Value ($, Millions) Discounted @ 7.1%
US$413
US$288
US$221
US$182
US$157
US$140
US$127
US$118
US$110
US$103
("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 (2.5%) 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 7.1%.
Present Value of Terminal Value (PVTV)= TV / (1 + r)10= US$4.6b÷ ( 1 + 7.1%)10= US$2.3b
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$4.1b. The last step is to then divide the equity value by the number of shares outstanding. Relative to the current share price of US$124, the company appears quite good value at a 46% 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.
NYSE:ARCH Discounted Cash Flow August 16th 2024
The Assumptions
Now the most important inputs to a discounted cash flow are the discount rate, and of course, the actual cash flows. If you don't agree with these result, have a go at the calculation yourself and play with the 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 7.1%, which is based on a levered beta of 1.125. 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
Strength
Debt is not viewed as a risk.
Dividends are covered by earnings and cash flows.
Weakness
Earnings declined over the past year.
Dividend is low compared to the top 25% of dividend payers in the Metals and Mining market.
Opportunity
Annual earnings are forecast to grow faster than the American market.
Good value based on P/E ratio and estimated fair value.
Threat
Annual revenue is expected to decline over the next 3 years.
Moving On:
Although the valuation of a company is important, 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. Rather it should be seen as a guide to "what assumptions need to be true for this stock to be under/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. Why is the intrinsic value higher than the current share price? For Arch Resources, we've put together three pertinent items you should consider:
Risks: Take risks, for example - Arch Resources has 2 warning signs we think you should be aware of.
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.
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.
