# An Intrinsic Calculation For Publicis Groupe S.A. (EPA:PUB) Suggests It's 50% Undervalued

By
Simply Wall St
Published
December 23, 2021

In this article we are going to estimate the intrinsic value of Publicis Groupe S.A. (EPA:PUB) by taking the expected future cash flows and discounting them to their present 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.

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.

View our latest analysis for Publicis Groupe

### The calculation

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

#### 10-year free cash flow (FCF) forecast

 2022 2023 2024 2025 2026 2027 2028 2029 2030 2031 Levered FCF (€, Millions) €1.45b €1.51b €1.27b €1.40b €1.38b €1.36b €1.35b €1.35b €1.35b €1.35b Growth Rate Estimate Source Analyst x7 Analyst x6 Analyst x2 Analyst x2 Est @ -1.81% Est @ -1.17% Est @ -0.71% Est @ -0.4% Est @ -0.18% Est @ -0.02% Present Value (€, Millions) Discounted @ 5.0% €1.4k €1.4k €1.1k €1.2k €1.1k €1.0k €964 €915 €870 €829

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = €11b

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 (0.3%) 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 5.0%.

Terminal Value (TV)= FCF2031 × (1 + g) ÷ (r – g) = €1.3b× (1 + 0.3%) ÷ (5.0%– 0.3%) = €29b

Present Value of Terminal Value (PVTV)= TV / (1 + r)10= €29b÷ ( 1 + 5.0%)10= €18b

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 €29b. The last step is to then divide the equity value by the number of shares outstanding. Compared to the current share price of €57.7, the company appears quite undervalued at a 50% 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.

### Important assumptions

Now the most important inputs to a discounted cash flow are the discount rate, and of course, the actual 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 Publicis Groupe 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 5.0%, which is based on a levered beta of 0.963. 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.

Although the valuation of a company is important, it 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. Can we work out why the company is trading at a discount to intrinsic value? For Publicis Groupe, we've compiled three pertinent items you should further research:

1. Risks: For example, we've discovered 2 warning signs for Publicis Groupe that you should be aware of before investing here.
2. Future Earnings: How does PUB'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. Simply Wall St updates its DCF calculation for every French stock every day, so if you want to find the intrinsic value of any other stock just search here.

### Discounted cash flow calculation for every stock

Simply Wall St does a detailed discounted cash flow calculation every 6 hours for every stock on the market, so if you want to find the intrinsic value of any company just search here. It’s FREE.

### Make Confident Investment Decisions

Simply Wall St's Editorial Team provides unbiased, factual reporting on global stocks using in-depth fundamental analysis.
Find out more about our editorial guidelines and team.