A Look At The Fair Value Of Grand Canyon Education, Inc. (NASDAQ:LOPE)

Key Insights

• Grand Canyon Education's estimated fair value is US$147 based on 2 Stage Free Cash Flow to Equity
• With US$120 share price, Grand Canyon Education appears to be trading close to its estimated fair value
• Our fair value estimate is 13% higher than Grand Canyon Education's analyst price target of US$130

How far off is Grand Canyon Education, Inc. (NASDAQ:LOPE) from its intrinsic value? Using the most recent financial data, we'll take a look at whether the stock is fairly priced by taking the expected future cash flows and discounting them to today's value. This will be done using 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.

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 still have some burning questions about this type of valuation, take a look at the Simply Wall St analysis model.

View our latest analysis for Grand Canyon Education

The 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 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.

Generally we assume that a dollar today is more valuable than a dollar in the future, so we discount the value of these future cash flows to their estimated value in today's dollars:

10-year free cash flow (FCF) estimate

	2023	2024	2025	2026	2027	2028	2029	2030	2031	2032
Levered FCF ($, Millions)	US$201.0m	US$214.2m	US$224.3m	US$233.1m	US$240.9m	US$248.1m	US$254.8m	US$261.2m	US$267.4m	US$273.5m
Growth Rate Estimate Source	Analyst x1	Analyst x1	Est @ 4.71%	Est @ 3.92%	Est @ 3.36%	Est @ 2.97%	Est @ 2.70%	Est @ 2.51%	Est @ 2.38%	Est @ 2.29%
Present Value ($, Millions) Discounted @ 7.1%	US$188	US$187	US$183	US$177	US$171	US$165	US$158	US$151	US$145	US$138

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = US$1.7b

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. 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 (2.1%) 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 7.1%.

Terminal Value (TV)= FCF₂₀₃₂ × (1 + g) ÷ (r – g) = US$274m× (1 + 2.1%) ÷ (7.1%– 2.1%) = US$5.6b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= US$5.6b÷ ( 1 + 7.1%)¹⁰= US$2.8b

The total value, or equity value, is then the sum of the present value of the future cash flows, which in this case is US$4.5b. The last step is to then divide the equity value by the number of shares outstanding. Compared to the current share price of US$120, the company appears about fair value at a 19% 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

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 Grand Canyon Education 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 7.1%, which is based on a levered beta of 0.839. 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 Grand Canyon Education

Moving On:

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. Rather it should be seen as a guide to "what assumptions need to be true for this stock to be under/overvalued?" 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. For Grand Canyon Education, there are three additional factors you should consider:

1. Risks: As an example, we've found 1 warning sign for Grand Canyon Education that you need to consider before investing here.
2. Future Earnings: How does LOPE'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.

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.