Today we'll do a simple run through of a valuation method used to estimate the attractiveness of Arco Platform Limited (NASDAQ:ARCE) as an investment opportunity by estimating the company's future cash flows and discounting them to their present value. One way to achieve this is by employing the Discounted Cash Flow (DCF) model. It may sound complicated, but actually it is quite simple!
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 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 start off with, we need to estimate 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 need to discount the sum of these future cash flows to arrive at a present value estimate:
10-year free cash flow (FCF) forecast
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
Levered FCF (R$, Millions)
R$322.0m
R$496.0m
R$584.0m
R$649.0m
R$703.7m
R$749.7m
R$788.7m
R$822.4m
R$852.3m
R$879.3m
Growth Rate Estimate Source
Analyst x1
Analyst x1
Analyst x1
Est @ 11.13%
Est @ 8.43%
Est @ 6.53%
Est @ 5.21%
Est @ 4.28%
Est @ 3.63%
Est @ 3.17%
Present Value (R$, Millions) Discounted @ 13%
R$285
R$387
R$403
R$396
R$379
R$357
R$332
R$305
R$280
R$255
("Est" = FCF growth rate estimated by Simply Wall St) Present Value of 10-year Cash Flow (PVCF) = R$3.4b
We now need to calculate the Terminal Value, which accounts for all the future cash flows after this ten year period. 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 13%.
Present Value of Terminal Value (PVTV)= TV / (1 + r)10= R$8.1b÷ ( 1 + 13%)10= R$2.4b
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 R$5.7b. In the final step we divide the equity value by the number of shares outstanding. Compared to the current share price of US$12.1, the company appears quite good value at a 32% 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.
NasdaqGS:ARCE Discounted Cash Flow June 10th 2023
Important 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 Arco Platform 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 13%, which is based on a levered beta of 0.995. 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 Arco Platform
Strength
Debt is well covered by .
Weakness
Interest payments on debt are not well covered.
Shareholders have been diluted in the past year.
Opportunity
Annual earnings are forecast to grow faster than the American market.
Trading below our estimate of fair value by more than 20%.
Threat
Debt is not well covered by operating cash flow.
Looking Ahead:
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. Rather it should be seen as a guide to "what assumptions need to be true for this stock to be under/overvalued?" For instance, if the terminal value growth rate is adjusted slightly, it can dramatically alter the overall result. What is the reason for the share price sitting below the intrinsic value? For Arco Platform, we've put together three important aspects you should explore:
Future Earnings: How does ARCE'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.
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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