Are Investors Undervaluing Penn National Gaming, Inc. (NASDAQ:PENN) By 44%?

Today we will run through one way of estimating the intrinsic value of Penn National Gaming, Inc. (NASDAQ:PENN) by taking the forecast future cash flows of the company and discounting them back to today's value. Our analysis will employ the Discounted Cash Flow (DCF) model. There's really not all that much to it, even though it might appear quite complex.

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 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 Penn National Gaming

The Calculation

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. 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$586.1m	US$732.7m	US$816.7m	US$887.0m	US$945.7m	US$994.9m	US$1.04b	US$1.07b	US$1.11b	US$1.14b
Growth Rate Estimate Source	Analyst x9	Analyst x3	Est @ 11.47%	Est @ 8.61%	Est @ 6.61%	Est @ 5.21%	Est @ 4.23%	Est @ 3.54%	Est @ 3.06%	Est @ 2.72%
Present Value ($, Millions) Discounted @ 10%	US$531	US$601	US$607	US$597	US$576	US$549	US$518	US$486	US$453	US$422

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = US$5.3b

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 1.9%. We discount the terminal cash flows to today's value at a cost of equity of 10%.

Terminal Value (TV)= FCF₂₀₃₂ × (1 + g) ÷ (r – g) = US$1.1b× (1 + 1.9%) ÷ (10%– 1.9%) = US$14b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= US$14b÷ ( 1 + 10%)¹⁰= US$5.1b

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$10b. To get the intrinsic value per share, we divide this by the total number of shares outstanding. Relative to the current share price of US$35.1, the company appears quite good value at a 44% discount to where the stock price trades currently. Valuations are imprecise instruments though, rather like a telescope - move a few degrees and end up in a different galaxy. Do keep this in mind.

The Assumptions

The calculation above is very dependent on two assumptions. The first is the discount rate and the other is the cash flows. You don't have to agree with these inputs, I recommend redoing the calculations yourself and playing with them. 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 Penn National Gaming 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 10%, which is based on a levered beta of 2.000. 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. It's not possible to obtain a foolproof valuation with a DCF model. 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 sitting below the intrinsic value? For Penn National Gaming, we've put together three relevant factors you should explore:

1. Risks: Be aware that Penn National Gaming is showing 1 warning sign in our investment analysis , you should know about...
2. Future Earnings: How does PENN'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.

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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.