A Look At The Intrinsic Value Of Papa John's International, Inc. (NASDAQ:PZZA)

Today we'll do a simple run through of a valuation method used to estimate the attractiveness of Papa John's International, Inc. (NASDAQ:PZZA) as an investment opportunity by estimating the company's future cash flows and discounting them to their present value. We will take advantage of the Discounted Cash Flow (DCF) model for this purpose. Models like these may appear beyond the comprehension of a lay person, but they're fairly easy to follow.

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.

See our latest analysis for Papa John's International

The method

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. 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, and so the sum of these future cash flows is then discounted to today's value:

10-year free cash flow (FCF) estimate

	2022	2023	2024	2025	2026	2027	2028	2029	2030	2031
Levered FCF ($, Millions)	US$129.8m	US$158.3m	US$181.3m	US$212.0m	US$234.6m	US$253.6m	US$269.4m	US$282.8m	US$294.3m	US$304.5m
Growth Rate Estimate Source	Analyst x5	Analyst x2	Analyst x2	Analyst x1	Est @ 10.67%	Est @ 8.07%	Est @ 6.25%	Est @ 4.97%	Est @ 4.08%	Est @ 3.45%
Present Value ($, Millions) Discounted @ 7.7%	US$121	US$136	US$145	US$158	US$162	US$162	US$160	US$156	US$151	US$145

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = US$1.5b

The second stage is also known as Terminal Value, this is the business's cash flow after 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 (2.0%) 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 7.7%.

Terminal Value (TV)= FCF₂₀₃₁ × (1 + g) ÷ (r – g) = US$304m× (1 + 2.0%) ÷ (7.7%– 2.0%) = US$5.4b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= US$5.4b÷ ( 1 + 7.7%)¹⁰= US$2.6b

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$4.1b. In the final step we divide the equity value by the number of shares outstanding. Compared to the current share price of US$129, the company appears around fair value at the time of writing. 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.

dcf

The assumptions

Now the most important inputs to a discounted cash flow are the discount rate, and of course, the actual 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 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 7.7%, which is based on a levered beta of 1.210. 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.

Looking Ahead:

Although the valuation of a company is important, it is only one of many factors that you need to assess for a company. DCF models are not the be-all and end-all of investment valuation. 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, there are three important elements you should explore:

1. Risks: Be aware that Papa John's International is showing 3 warning signs in our investment analysis , you should know about...

2. Management:Have insiders been ramping up their shares to take advantage of the market's sentiment for PZZA's future outlook? Check out our management and board analysis with insights on CEO compensation and governance factors.

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.

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.

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