Today we will run through one way of estimating the intrinsic value of Duolingo, Inc. (NASDAQ:DUOL) by projecting its future cash flows and then discounting them to today's value. This will be done using the Discounted Cash Flow (DCF) model. 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 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. 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 need to discount the sum of these future cash flows to arrive at a present value estimate:
10-year free cash flow (FCF) forecast
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
Levered FCF ($, Millions)
US$330.4m
US$461.9m
US$600.7m
US$642.0m
US$674.5m
US$703.7m
US$730.5m
US$755.8m
US$780.0m
US$803.6m
Growth Rate Estimate Source
Analyst x6
Analyst x6
Analyst x3
Analyst x1
Est @ 5.06%
Est @ 4.33%
Est @ 3.82%
Est @ 3.46%
Est @ 3.21%
Est @ 3.03%
Present Value ($, Millions) Discounted @ 6.3%
US$311
US$409
US$500
US$503
US$498
US$489
US$477
US$465
US$451
US$437
("Est" = FCF growth rate estimated by Simply Wall St) Present Value of 10-year Cash Flow (PVCF) = US$4.5b
We now need to calculate the Terminal Value, which accounts for all the future cash flows after this ten year period. The Gordon Growth formula is used to calculate Terminal Value at a future annual growth rate equal to the 5-year average of the 10-year government bond yield of 2.6%. We discount the terminal cash flows to today's value at a cost of equity of 6.3%.
Present Value of Terminal Value (PVTV)= TV / (1 + r)10= US$23b÷ ( 1 + 6.3%)10= US$12b
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$17b. To get the intrinsic value per share, we divide this by the total number of shares outstanding. Relative to the current share price of US$354, the company appears about fair value at a 7.5% discount to where the stock price trades currently. 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.
NasdaqGS:DUOL Discounted Cash Flow December 18th 2024
The 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 Duolingo 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 6.3%, which is based on a levered beta of 0.886. 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 Duolingo
Strength
Currently debt free.
Weakness
Shareholders have been diluted in the past year.
Opportunity
Annual earnings are forecast to grow faster than the American market.
Current share price is below our estimate of fair value.
Threat
No apparent threats visible for DUOL.
Next Steps:
Although the valuation of a company is important, it shouldn't be the only metric you look at when researching 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. For Duolingo, we've put together three fundamental factors you should explore:
Management:Have insiders been ramping up their shares to take advantage of the market's sentiment for DUOL'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.
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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.
