An Intrinsic Calculation For Carrefour SA (EPA:CA) Suggests It's 31% Undervalued

Key Insights

• Using the 2 Stage Free Cash Flow to Equity, Carrefour fair value estimate is €24.90
• Current share price of €17.30 suggests Carrefour is potentially 31% undervalued
• Our fair value estimate is 25% higher than Carrefour's analyst price target of €19.94

Today we'll do a simple run through of a valuation method used to estimate the attractiveness of Carrefour SA (EPA:CA) as an investment opportunity by projecting its future cash flows and then discounting them to today's value. This will be done using the Discounted Cash Flow (DCF) model. Before you think you won't be able to understand it, just read on! It's actually much less complex than you'd imagine.

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. 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.

Check out our latest analysis for Carrefour

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. To start off with, we need to estimate 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, 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) = €8.8b

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 0.9%. We discount the terminal cash flows to today's value at a cost of equity of 7.7%.

Terminal Value (TV)= FCF₂₀₃₃ × (1 + g) ÷ (r – g) = €1.2b× (1 + 0.9%) ÷ (7.7%– 0.9%) = €18b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= €18b÷ ( 1 + 7.7%)¹⁰= €8.6b

The total value, or equity value, is then the sum of the present value of the future cash flows, which in this case is €17b. The last step is to then divide the equity value by the number of shares outstanding. Compared to the current share price of €17.3, the company appears quite good value at a 31% discount to where the stock price trades currently. 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.

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 Carrefour 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 1.193. 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 Carrefour

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 example, changes in the company's cost of equity or the risk free rate can significantly impact the valuation. Can we work out why the company is trading at a discount to intrinsic value? For Carrefour, we've compiled three relevant items you should further research:

1. Risks: Every company has them, and we've spotted 2 warning signs for Carrefour you should know about.
2. Future Earnings: How does CA'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 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 ENXTPA every day. If you want to find the calculation for other stocks just search here.

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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.