Today we will run through one way of estimating the intrinsic value of Duolingo, Inc. (NASDAQ:DUOL) by taking the expected future cash flows and discounting them to their present value. One way to achieve this is by employing the Discounted Cash Flow (DCF) model. Believe it or not, it's not too difficult to follow, as you'll see from our example!
Companies can be valued in a lot of ways, so we would point out that a DCF is not perfect for every situation. 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 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.
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
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
Levered FCF ($, Millions)
US$41.8m
US$89.3m
US$130.2m
US$172.6m
US$213.1m
US$249.3m
US$280.3m
US$306.4m
US$328.2m
US$346.4m
Growth Rate Estimate Source
Analyst x2
Analyst x1
Est @ 45.78%
Est @ 32.63%
Est @ 23.42%
Est @ 16.98%
Est @ 12.46%
Est @ 9.31%
Est @ 7.1%
Est @ 5.55%
Present Value ($, Millions) Discounted @ 5.3%
US$39.6
US$80.5
US$111
US$140
US$164
US$183
US$195
US$202
US$206
US$206
("Est" = FCF growth rate estimated by Simply Wall St) Present Value of 10-year Cash Flow (PVCF) = US$1.5b
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 1.9%. We discount the terminal cash flows to today's value at a cost of equity of 5.3%.
Present Value of Terminal Value (PVTV)= TV / (1 + r)10= US$10b÷ ( 1 + 5.3%)10= US$6.2b
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$7.7b. In the final step we divide the equity value by the number of shares outstanding. Compared to the current share price of US$99.4, the company appears quite undervalued at a 50% 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.
NasdaqGS:DUOL Discounted Cash Flow July 16th 2022
The assumptions
The calculation above is very dependent on two assumptions. The first is the discount rate and the other is the 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 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 5.3%, which is based on a levered beta of 0.800. 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:
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. 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. Why is the intrinsic value higher than the current share price? For Duolingo, there are three essential aspects you should further research:
Risks: For example, we've discovered 3 warning signs for Duolingo 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 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.
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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