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

Key Insights

• The projected fair value for Papa John's International is US$72.91 based on 2 Stage Free Cash Flow to Equity
• Current share price of US$70.87 suggests Papa John's International is potentially trading close to its fair value
• Analyst price target for PZZA is US$90.60, which is 24% above our fair value estimate

Does the June share price for Papa John's International, Inc. (NASDAQ:PZZA) reflect what it's really worth? Today, we will estimate the stock's intrinsic value by estimating the company's future cash flows and discounting them to their present value. This will be done using the Discounted Cash Flow (DCF) model. Don't get put off by the jargon, the math behind it is actually quite straightforward.

We generally believe that a company's value is the present value of all of the cash it will generate in the future. However, a DCF is just one valuation metric among many, and it is not without flaws. Anyone interested in learning a bit more about intrinsic value should have a read of the Simply Wall St analysis model.

View our latest analysis for Papa John's International

The Method

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. 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) forecast

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = US$1.1b

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 2.1%. We discount the terminal cash flows to today's value at a cost of equity of 9.5%.

Terminal Value (TV)= FCF₂₀₃₂ × (1 + g) ÷ (r – g) = US$233m× (1 + 2.1%) ÷ (9.5%– 2.1%) = US$3.2b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= US$3.2b÷ ( 1 + 9.5%)¹⁰= US$1.3b

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$2.4b. The last step is to then divide the equity value by the number of shares outstanding. Compared to the current share price of US$70.9, the company appears about fair value at a 2.8% 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.

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 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 9.5%, which is based on a levered beta of 1.244. 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 Papa John's International

Looking Ahead:

Valuation is only one side of the coin in terms of building your investment thesis, and 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. 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. For Papa John's International, there are three pertinent elements you should further research:

1. Risks: Be aware that Papa John's International is showing 3 warning signs in our investment analysis , and 1 of those doesn't sit too well with us...
2. 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.
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. The Simply Wall St app conducts a discounted cash flow valuation for every stock on the NASDAQGS every day. If you want to find the calculation for other stocks just search here.

Have feedback on this article? Concerned about the content? Get in touch with us directly. Alternatively, email editorial-team (at) simplywallst.com.

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.