How far off is Papa John's International, Inc. (NASDAQ:PZZA) 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 forecast future cash flows of the company and discounting them back to today's value. One way to achieve this is by employing the Discounted Cash Flow (DCF) model. Models like these may appear beyond the comprehension of a lay person, but they're fairly easy to follow.
Companies can be valued in a lot of ways, so we would point out that a DCF is not perfect for every situation. For those who are keen learners of equity analysis, the Simply Wall St analysis model here may be something of interest to you.
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. 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 discount the value of these future cash flows to their estimated value in today's dollars:
10-year free cash flow (FCF) forecast
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
Levered FCF ($, Millions)
US$66.9m
US$75.9m
US$82.8m
US$88.7m
US$93.8m
US$98.4m
US$102.6m
US$106.5m
US$110.2m
US$113.8m
Growth Rate Estimate Source
Analyst x3
Analyst x3
Est @ 9.01%
Est @ 7.13%
Est @ 5.82%
Est @ 4.90%
Est @ 4.25%
Est @ 3.80%
Est @ 3.49%
Est @ 3.27%
Present Value ($, Millions) Discounted @ 9.7%
US$61.0
US$63.1
US$62.7
US$61.3
US$59.1
US$56.5
US$53.7
US$50.9
US$48.0
US$45.2
("Est" = FCF growth rate estimated by Simply Wall St) Present Value of 10-year Cash Flow (PVCF) = US$561m
The second stage is also known as Terminal Value, this is the business's cash flow after 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 2.8%. We discount the terminal cash flows to today's value at a cost of equity of 9.7%.
Present Value of Terminal Value (PVTV)= TV / (1 + r)10= US$1.7b÷ ( 1 + 9.7%)10= US$670m
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$1.2b. In the final step we divide the equity value by the number of shares outstanding. Compared to the current share price of US$40.8, the company appears around fair value at the time of writing. 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.
NasdaqGS:PZZA Discounted Cash Flow March 27th 2025
The Assumptions
The calculation above is very dependent on two assumptions. The first is the discount rate and the other is the cash flows. Part of investing is coming up with your own evaluation of a company's future performance, so try the calculation yourself and check your own 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 Papa John's International 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 9.7%, which is based on a levered beta of 1.601. 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.
Earnings growth over the past year underperformed the Hospitality industry.
Dividend is low compared to the top 25% of dividend payers in the Hospitality market.
Opportunity
Annual earnings are forecast to grow for the next 3 years.
Good value based on P/E ratio compared to estimated Fair P/E ratio.
Threat
Debt is not well covered by operating cash flow.
Total liabilities exceed total assets, which raises the risk of financial distress.
Dividends are not covered by cash flow.
Annual earnings are forecast to grow slower than the American market.
Next Steps:
Whilst important, the DCF calculation shouldn't be the only metric you look at when researching a company. The DCF model is not a perfect stock valuation tool. Instead the best use for a DCF model is to test certain assumptions and theories to see if they would lead to the company being undervalued or overvalued. For instance, if the terminal value growth rate is adjusted slightly, it can dramatically alter the overall result. For Papa John's International, we've compiled three important elements you should explore:
Future Earnings: How does PZZA'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.
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.
