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Today we'll do a simple run through of a valuation method used to estimate the attractiveness of PagSeguro Digital Ltd. (NYSE:PAGS) as an investment opportunity by taking the expected future cash flows and discounting them to today's value. The Discounted Cash Flow (DCF) model is the tool we will apply to do this. There's really not all that much to it, even though it might appear quite complex.
Remember though, that there are many ways to estimate a company's value, and a DCF is just one method. 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.
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) estimate
Levered FCF (R$, Millions)
Growth Rate Estimate Source
Est @ 22.94%
Est @ 16.65%
Est @ 12.25%
Est @ 9.18%
Est @ 7.02%
Present Value (R$, Millions) Discounted @ 10%
("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = R$25b
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 (2.0%) 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 10%.
Terminal Value (TV)= FCF2030 × (1 + g) ÷ (r – g) = R$9.9b× (1 + 2.0%) ÷ (10%– 2.0%) = R$124b
Present Value of Terminal Value (PVTV)= TV / (1 + r)10= R$124b÷ ( 1 + 10%)10= R$47b
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$72b. In the final step we divide the equity value by the number of shares outstanding. Compared to the current share price of US$46.8, the company appears around fair value at the time of writing. 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.
We would point out that the most important inputs to a discounted cash flow are the discount rate and of course the actual 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 PagSeguro Digital 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 10%, which is based on a levered beta of 1.070. 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 is only one of many factors that you need to assess for a company. The DCF model is not a perfect stock valuation tool. 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. For PagSeguro Digital, we've put together three important elements you should consider:
Risks: Consider for instance, the ever-present spectre of investment risk. We've identified 1 warning sign with PagSeguro Digital , and understanding it should be part of your investment process.
Future Earnings: How does PAGS'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.
This article by Simply Wall St is general in nature. 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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