Key Insights

• Using the 2 Stage Free Cash Flow to Equity, Duolingo fair value estimate is US$468
• Duolingo is estimated to be 47% undervalued based on current share price of US$250
• The US$235 analyst price target for DUOL is 50% less than our estimate of fair value

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. Our analysis will employ the Discounted Cash Flow (DCF) model. Before you think you won't be able to understand it, just read on! It's actually much less complex than you'd imagine.

We generally believe that a company's value is the present value of all of the cash it will generate in the future. However, a DCF is just one valuation metric among many, and it is not without flaws. If you still have some burning questions about this type of valuation, take a look at the Simply Wall St analysis model.

The Model

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. 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.

A DCF is all about the idea that a dollar in the future is less valuable than a dollar today, and so the sum of these future cash flows is then discounted to today's value:

10-year free cash flow (FCF) estimate

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = US$4.8b

We now need to calculate the Terminal Value, which accounts for all the future cash flows after this ten year period. 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 (2.5%) 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 6.1%.

Terminal Value (TV)= FCF2034 × (1 + g) ÷ (r – g) = US$985m× (1 + 2.5%) ÷ (6.1%– 2.5%) = US$28b

Present Value of Terminal Value (PVTV)= TV / (1 + r)10= US$28b÷ ( 1 + 6.1%)10= US$16b

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$20b. The last step is to then divide the equity value by the number of shares outstanding. Compared to the current share price of US$250, the company appears quite good value at a 47% 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.

The Assumptions

We would point out that the most important inputs to a discounted cash flow are the discount rate and of course the actual 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 6.1%, which is based on a levered beta of 0.872. 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:

Although the valuation of a company is important, it shouldn't be the only metric you look at when researching 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?" For instance, if the terminal value growth rate is adjusted slightly, it can dramatically alter the overall result. Can we work out why the company is trading at a discount to intrinsic value? For Duolingo, we've compiled three fundamental factors you should further research:

1. Risks: We feel that you should assess the 2 warning signs for Duolingo we've flagged before making an investment in the company.
2. 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.
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.

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.