Does This Valuation Of Duolingo, Inc. (NASDAQ:DUOL) Imply Investors Are Overpaying?

In this article we are going to estimate the intrinsic value of Duolingo, Inc. (NASDAQ:DUOL) by taking the expected future cash flows and discounting them to today's value. Our analysis will employ 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. Anyone interested in learning a bit more about intrinsic value should have a read of the Simply Wall St analysis model.

Check out our latest analysis for Duolingo

Step by step through the calculation

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. 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.

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

	2022	2023	2024	2025	2026	2027	2028	2029	2030	2031
Levered FCF ($, Millions)	US$9.10m	US$41.7m	US$68.1m	US$98.7m	US$130.4m	US$160.4m	US$187.2m	US$210.2m	US$229.5m	US$245.6m
Growth Rate Estimate Source	Analyst x3	Analyst x3	Est @ 63.37%	Est @ 44.94%	Est @ 32.05%	Est @ 23.02%	Est @ 16.7%	Est @ 12.28%	Est @ 9.18%	Est @ 7.02%
Present Value ($, Millions) Discounted @ 5.6%	US$8.6	US$37.4	US$57.8	US$79.4	US$99.2	US$116	US$128	US$136	US$140	US$142

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = US$944m

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 2.0%. We discount the terminal cash flows to today's value at a cost of equity of 5.6%.

Terminal Value (TV)= FCF₂₀₃₁ × (1 + g) ÷ (r – g) = US$246m× (1 + 2.0%) ÷ (5.6%– 2.0%) = US$6.9b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= US$6.9b÷ ( 1 + 5.6%)¹⁰= US$4.0b

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$4.9b. To get the intrinsic value per share, we divide this by the total number of shares outstanding. Compared to the current share price of US$175, the company appears reasonably expensive at the time of writing. 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.

dcf

The assumptions

Now 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 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 5.6%, which is based on a levered beta of 0.833. 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.

Looking Ahead:

Valuation is only one side of the coin in terms of building your investment thesis, and 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. Preferably you'd apply different cases and assumptions and see how they would impact the company's valuation. For example, changes in the company's cost of equity or the risk free rate can significantly impact the valuation. Can we work out why the company is trading at a premium to intrinsic value? For Duolingo, there are three important items you should consider:

1. Risks: As an example, we've found 3 warning signs for Duolingo (1 shouldn't be ignored!) that you need to consider before investing here.

2. Future Earnings: How does DUOL'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.

3. Other Solid Businesses: Low debt, high returns on equity and good past performance are fundamental to a strong business. Why not explore our interactive list of stocks with solid business fundamentals to see if there are other companies you may not have considered!

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. 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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