Calculating The Intrinsic Value Of Public Power Corporation S.A. (ATH:PPC)

In this article we are going to estimate the intrinsic value of Public Power Corporation S.A. (ATH:PPC) 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. There's really not all that much to it, even though it might appear quite complex.

Companies can be valued in a lot of ways, so we would point out that a DCF is not perfect for every situation. 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 Public Power

The model

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.

Generally we assume that a dollar today is more valuable than a dollar in the future, so we discount the value of these future cash flows to their estimated value in today's dollars:

10-year free cash flow (FCF) estimate

	2022	2023	2024	2025	2026	2027	2028	2029	2030	2031
Levered FCF (€, Millions)	€34.6m	-€233.2m	-€63.7m	€130.0m	€167.5m	€203.2m	€236.0m	€265.4m	€291.7m	€315.3m
Growth Rate Estimate Source	Analyst x2	Analyst x2	Analyst x2	Analyst x1	Est @ 28.83%	Est @ 21.35%	Est @ 16.12%	Est @ 12.46%	Est @ 9.89%	Est @ 8.1%
Present Value (€, Millions) Discounted @ 11%	€31.1	-€189	-€46.6	€85.6	€99.4	€109	€114	€115	€114	€111

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = €542m

We now need to calculate the Terminal Value, which accounts for all the future cash flows after this ten year period. 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 3.9%. We discount the terminal cash flows to today's value at a cost of equity of 11%.

Terminal Value (TV)= FCF₂₀₃₁ × (1 + g) ÷ (r – g) = €315m× (1 + 3.9%) ÷ (11%– 3.9%) = €4.6b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= €4.6b÷ ( 1 + 11%)¹⁰= €1.6b

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 €2.2b. To get the intrinsic value per share, we divide this by the total number of shares outstanding. Compared to the current share price of €9.1, the company appears about fair value at a 3.2% 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

Now the most important inputs to a discounted cash flow are the discount rate, and of course, the actual 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 Public Power 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 11%, which is based on a levered beta of 0.864. 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.

Next Steps:

Valuation is only one side of the coin in terms of building your investment thesis, and it ideally won't be the sole piece of analysis you scrutinize 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. For example, changes in the company's cost of equity or the risk free rate can significantly impact the valuation. For Public Power, we've put together three further factors you should explore:

1. Risks: Case in point, we've spotted 2 warning signs for Public Power you should be aware of, and 1 of them is significant.
2. Future Earnings: How does PPC'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 ATSE 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. 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.
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