Duolingo, Inc. (NASDAQ:DUOL) Shares Could Be 48% Below Their Intrinsic Value Estimate

Key Insights

• Duolingo's estimated fair value is US$424 based on 2 Stage Free Cash Flow to Equity
• Duolingo's US$221 share price signals that it might be 48% undervalued
• Our fair value estimate is 69% higher than Duolingo's analyst price target of US$251

Today we'll do a simple run through of a valuation method used to estimate the attractiveness of Duolingo, Inc. (NASDAQ:DUOL) as an investment opportunity by taking the forecast future cash flows of the company and discounting them back to today's 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!

We would caution that there are many ways of valuing a company and, like the DCF, each technique has advantages and disadvantages in certain scenarios. Anyone interested in learning a bit more about intrinsic value should have a read of the Simply Wall St analysis model.

View our latest analysis for Duolingo

What's The Estimated Valuation?

We're using the 2-stage growth model, which simply means we take in account two stages of company's growth. In the initial period the company may have a higher growth rate and the second stage is usually assumed to have a stable growth rate. 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) estimate

	2024	2025	2026	2027	2028	2029	2030	2031	2032	2033
Levered FCF ($, Millions)	US$217.1m	US$280.7m	US$359.2m	US$469.5m	US$601.3m	US$700.6m	US$786.3m	US$859.1m	US$920.7m	US$973.2m
Growth Rate Estimate Source	Analyst x3	Analyst x3	Analyst x2	Analyst x1	Analyst x1	Est @ 16.51%	Est @ 12.24%	Est @ 9.26%	Est @ 7.17%	Est @ 5.70%
Present Value ($, Millions) Discounted @ 6.2%	US$204	US$249	US$300	US$369	US$445	US$489	US$517	US$531	US$536	US$534

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = US$4.2b

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. 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 2.3%. We discount the terminal cash flows to today's value at a cost of equity of 6.2%.

Terminal Value (TV)= FCF₂₀₃₃ × (1 + g) ÷ (r – g) = US$973m× (1 + 2.3%) ÷ (6.2%– 2.3%) = US$26b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= US$26b÷ ( 1 + 6.2%)¹⁰= US$14b

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$18b. The last step is to then divide the equity value by the number of shares outstanding. Compared to the current share price of US$221, the company appears quite undervalued at a 48% 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.

Important Assumptions

Now the most important inputs to a discounted cash flow are the discount rate, and of course, the actual 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 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 6.2%, which is based on a levered beta of 0.847. 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

Next Steps:

Whilst important, the DCF calculation 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. 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. Can we work out why the company is trading at a discount to intrinsic value? For Duolingo, there are three pertinent elements you should consider:

1. Risks: To that end, you should be aware of the 1 warning sign we've spotted with Duolingo .
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 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.