An Intrinsic Calculation For Grand Canyon Education, Inc. (NASDAQ:LOPE) Suggests It's 35% Undervalued

Key Insights

• Grand Canyon Education's estimated fair value is US$209 based on 2 Stage Free Cash Flow to Equity
• Grand Canyon Education's US$136 share price signals that it might be 35% undervalued
• Our fair value estimate is 43% higher than Grand Canyon Education's analyst price target of US$146

Today we will run through one way of estimating the intrinsic value of Grand Canyon Education, Inc. (NASDAQ:LOPE) 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. 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. 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.

See our latest analysis for Grand Canyon Education

What's The Estimated Valuation?

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

	2024	2025	2026	2027	2028	2029	2030	2031	2032	2033
Levered FCF ($, Millions)	US$212.0m	US$233.0m	US$248.7m	US$262.1m	US$273.8m	US$284.1m	US$293.5m	US$302.2m	US$310.6m	US$318.6m
Growth Rate Estimate Source	Analyst x1	Analyst x1	Est @ 6.75%	Est @ 5.39%	Est @ 4.44%	Est @ 3.77%	Est @ 3.31%	Est @ 2.98%	Est @ 2.75%	Est @ 2.59%
Present Value ($, Millions) Discounted @ 6.4%	US$199	US$206	US$207	US$205	US$201	US$196	US$191	US$184	US$178	US$172

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = US$1.9b

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 (2.2%) 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 6.4%.

Terminal Value (TV)= FCF₂₀₃₃ × (1 + g) ÷ (r – g) = US$319m× (1 + 2.2%) ÷ (6.4%– 2.2%) = US$7.9b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= US$7.9b÷ ( 1 + 6.4%)¹⁰= US$4.2b

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$6.2b. In the final step we divide the equity value by the number of shares outstanding. Compared to the current share price of US$136, the company appears quite good value at a 35% 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 6.4%, which is based on a levered beta of 0.829. 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

Next Steps:

Whilst important, the DCF calculation shouldn't be the only metric you look at when researching a company. It's not possible to obtain a foolproof valuation with a DCF model. 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. Why is the intrinsic value higher than the current share price? For Grand Canyon Education, we've compiled three fundamental factors you should further examine:

1. Financial Health: Does LOPE have a healthy balance sheet? Take a look at our free balance sheet analysis with six simple checks on key factors like leverage and risk.
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 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.

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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.