Today we'll do a simple run through of a valuation method used to estimate the attractiveness of Vitru Limited (NASDAQ:VTRU) as an investment opportunity 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. Believe it or not, it's not too difficult to follow, as you'll see from our example!
Remember though, that there are many ways to estimate a company's value, and a DCF is just one method. 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.
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) forecast
Levered FCF (R$, Millions)
Growth Rate Estimate Source
Est @ 31.78%
Est @ 22.83%
Est @ 16.56%
Est @ 12.18%
Est @ 9.11%
Est @ 6.96%
Est @ 5.45%
Est @ 4.4%
Present Value (R$, Millions) Discounted @ 7.8%
("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = R$807m
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 7.8%.
Terminal Value (TV)= FCF2032 × (1 + g) ÷ (r – g) = R$261m× (1 + 1.9%) ÷ (7.8%– 1.9%) = R$4.5b
Present Value of Terminal Value (PVTV)= TV / (1 + r)10= R$4.5b÷ ( 1 + 7.8%)10= R$2.1b
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$2.9b. The last step is to then divide the equity value by the number of shares outstanding. Relative to the current share price of US$17.4, the company appears about fair value at a 10% 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.
The calculation above is very dependent on two assumptions. The first is the discount rate and the other is the cash flows. Part of investing is coming up with your own evaluation of a company's future performance, so try the calculation yourself and check your own 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 Vitru 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 7.8%, which is based on a levered beta of 0.817. 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.
Valuation is only one side of the coin in terms of building your investment thesis, and it ideally won't be the sole piece of analysis you scrutinize 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. For Vitru, there are three pertinent aspects you should explore:
Risks: Be aware that Vitru is showing 1 warning sign in our investment analysis , you should know about...
Future Earnings: How does VTRU'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. The Simply Wall St app conducts a discounted cash flow valuation for every stock on the NASDAQGS every day. If you want to find the calculation for other stocks 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.