Key Insights

• The projected fair value for Paychex is US$148 based on 2 Stage Free Cash Flow to Equity
• Paychex's US$147 share price indicates it is trading at similar levels as its fair value estimate
• The US$133 analyst price target for PAYX is 10.0% less than our estimate of fair value

In this article we are going to estimate the intrinsic value of Paychex, Inc. (NASDAQ:PAYX) by taking the expected future cash flows and discounting them to today's value. One way to achieve this is by employing the Discounted Cash Flow (DCF) model. It may sound complicated, but actually it is quite simple!

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. For those who are keen learners of equity analysis, the Simply Wall St analysis model here may be something of interest to you.

The Calculation

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.

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) = US$16b

We now need to calculate the Terminal Value, which accounts for all the future cash flows after this ten year period. 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 (2.6%) 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 6.3%.

Terminal Value (TV)= FCF2034 × (1 + g) ÷ (r – g) = US$2.5b× (1 + 2.6%) ÷ (6.3%– 2.6%) = US$69b

Present Value of Terminal Value (PVTV)= TV / (1 + r)10= US$69b÷ ( 1 + 6.3%)10= US$37b

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$53b. The last step is to then divide the equity value by the number of shares outstanding. Relative to the current share price of US$147, the company appears about fair value at a 0.8% 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.

The Assumptions

Now the most important inputs to a discounted cash flow are the discount rate, and of course, the actual 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 Paychex 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 6.3%, which is based on a levered beta of 0.890. 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 Paychex

Moving On:

Whilst important, the DCF calculation ideally won't be the sole piece of analysis you scrutinize for 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. For Paychex, we've put together three pertinent items you should look at:

1. Financial Health: Does PAYX have a healthy balance sheet? Take a look at our free balance sheet analysis with six simple checks on key factors like leverage and risk.
2. Management:Have insiders been ramping up their shares to take advantage of the market's sentiment for PAYX's future outlook? Check out our management and board analysis with insights on CEO compensation and governance factors.
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.

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.