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. We will use the Discounted Cash Flow (DCF) model on this occasion. Models like these may appear beyond the comprehension of a lay person, but they're fairly easy to follow.
Companies can be valued in a lot of ways, so we would point out that a DCF is not perfect for every situation. For those who are keen learners of equity analysis, the Simply Wall St analysis model here may be something of interest to you.
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.
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
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
Levered FCF ($, Millions)
US$1.04b
US$433.1m
US$262.2m
US$180.8m
US$142.6m
US$122.3m
US$110.9m
US$104.2m
US$100.4m
US$98.5m
Growth Rate Estimate Source
Analyst x3
Analyst x3
Analyst x2
Est @ -31.02%
Est @ -21.14%
Est @ -14.22%
Est @ -9.38%
Est @ -5.99%
Est @ -3.62%
Est @ -1.96%
Present Value ($, Millions) Discounted @ 8.0%
US$967
US$372
US$208
US$133
US$97.2
US$77.2
US$64.8
US$56.5
US$50.4
US$45.8
("Est" = FCF growth rate estimated by Simply Wall St) Present Value of 10-year Cash Flow (PVCF) = US$2.1b
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 (1.9%) 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 8.0%.
Present Value of Terminal Value (PVTV)= TV / (1 + r)10= US$1.7b÷ ( 1 + 8.0%)10= US$772m
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$2.8b. In the final step we divide the equity value by the number of shares outstanding. Compared to the current share price of US$134, the company appears a touch undervalued at a 27% 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 April 24th 2022
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 8.0%, which is based on a levered beta of 1.425. 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.
Moving On:
Whilst important, the DCF calculation is only one of many factors that you need to assess for a company. It's not possible to obtain a foolproof valuation with a DCF model. 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. For instance, if the terminal value growth rate is adjusted slightly, it can dramatically alter the overall result. Can we work out why the company is trading at a discount to intrinsic value? For Arch Resources, there are three essential elements you should further research:
Risks: For example, we've discovered 4 warning signs for Arch Resources (2 are concerning!) that you should be aware of before investing here.
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.
