In this article we are going to estimate the intrinsic value of GreenTree Hospitality Group Ltd. (NYSE:GHG) by taking the expected future cash flows and discounting them to today's value. I will be using the Discounted Cash Flow (DCF) model. It may sound complicated, but actually it is quite simple!

Remember though, that there are many ways to estimate a company's value, and a DCF is just one method. 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.

View our latest analysis for GreenTree Hospitality Group

Crunching the numbers

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. 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

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = CN¥4.4b

After calculating the present value of future cash flows in the intial 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 10-year government bond rate of 1.7%. We discount the terminal cash flows to today's value at a cost of equity of 7.3%.

Terminal Value (TV)= FCF₂₀₂₉ × (1 + g) ÷ (r – g) = CN¥818m× (1 + 1.7%) ÷ 7.3%– 1.7%) = CN¥15b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= CN¥15b÷ ( 1 + 7.3%)¹⁰= CN¥7.5b

The total value, or equity value, is then the sum of the present value of the future cash flows, which in this case is CN¥12b. The last step is to then divide the equity value by the number of shares outstanding. Relative to the current share price of US$10.7, the company appears quite undervalued at a 35% 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.

Important assumptions

The calculation above is very dependent on two assumptions. The first is the discount rate and the other is the 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 GreenTree Hospitality Group 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 7.3%, which is based on a levered beta of 0.871. 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.

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?" 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. What is the reason for the share price to differ from the intrinsic value? For GreenTree Hospitality Group, We've put together three important aspects you should look at:

1. Risks: Case in point, we've spotted 3 warning signs for GreenTree Hospitality Group you should be aware of.

2. Future Earnings: How does GHG'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 US stock every day, so if you want to find the intrinsic value of any other stock just search here.

If you spot an error that warrants correction, please contact the editor at editorial-team@simplywallst.com. This article by Simply Wall St is general in nature. It does not constitute a recommendation to buy or sell any stock, and does not take account of your objectives, or your financial situation. Simply Wall St has no position in the stocks mentioned.

We aim to bring you long-term focused research analysis driven by fundamental data. Note that our analysis may not factor in the latest price-sensitive company announcements or qualitative material. Thank you for reading.