An Intrinsic Calculation For Paychex, Inc. (NASDAQ:PAYX) Suggests It's 24% Undervalued

Key Insights

• The projected fair value for Paychex is US$157 based on 2 Stage Free Cash Flow to Equity
• Paychex's US$118 share price signals that it might be 24% undervalued
• The US$121 analyst price target for PAYX is 23% less than our estimate of fair value

Does the October share price for Paychex, Inc. (NASDAQ:PAYX) reflect what it's really worth? Today, we will estimate the stock's intrinsic value by taking the expected future cash flows and discounting them to their present value. The Discounted Cash Flow (DCF) model is the tool we will apply to do this. Models like these may appear beyond the comprehension of a lay person, but they're fairly easy to follow.

Remember though, that there are many ways to estimate a company's value, and a DCF is just one method. If you want to learn more about discounted cash flow, the rationale behind this calculation can be read in detail in the Simply Wall St analysis model.

View our latest analysis for Paychex

The Model

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.

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

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = US$18b

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 (2.2%) 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 6.6%.

Terminal Value (TV)= FCF₂₀₃₃ × (1 + g) ÷ (r – g) = US$3.1b× (1 + 2.2%) ÷ (6.6%– 2.2%) = US$73b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= US$73b÷ ( 1 + 6.6%)¹⁰= US$38b

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$57b. The last step is to then divide the equity value by the number of shares outstanding. Compared to the current share price of US$118, the company appears a touch undervalued at a 24% 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

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 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 6.6%, which is based on a levered beta of 0.885. 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:

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. It's not possible to obtain a foolproof valuation with a DCF model. Preferably you'd apply different cases and assumptions and see how they would impact the company's valuation. 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. Can we work out why the company is trading at a discount to intrinsic value? For Paychex, we've compiled three relevant factors you should further examine:

1. Risks: We feel that you should assess the 1 warning sign for Paychex we've flagged before making an investment in the company.
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 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. 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.