A Look At The Intrinsic Value Of Persimmon Plc (LON:PSN)

How far off is Persimmon Plc (LON:PSN) from its intrinsic value? Using the most recent financial data, we'll take a look at whether the stock is fairly priced by taking the expected future cash flows and discounting them to today's value. We will take advantage of the Discounted Cash Flow (DCF) model for this purpose. There's really not all that much to it, even though it might appear quite complex.

Remember though, that there are many ways to estimate a company's value, and a DCF is just one method. Anyone interested in learning a bit more about intrinsic value should have a read of the Simply Wall St analysis model.

See our latest analysis for Persimmon

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 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

	2022	2023	2024	2025	2026	2027	2028	2029	2030	2031
Levered FCF (£, Millions)	UK£713.9m	UK£693.4m	UK£663.0m	UK£656.1m	UK£653.2m	UK£653.0m	UK£654.6m	UK£657.5m	UK£661.4m	UK£666.0m
Growth Rate Estimate Source	Analyst x7	Analyst x7	Analyst x1	Est @ -1.03%	Est @ -0.45%	Est @ -0.04%	Est @ 0.25%	Est @ 0.45%	Est @ 0.59%	Est @ 0.69%
Present Value (£, Millions) Discounted @ 7.1%	UK£667	UK£604	UK£539	UK£498	UK£463	UK£432	UK£405	UK£379	UK£356	UK£335

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = UK£4.7b

The second stage is also known as Terminal Value, this is the business's cash flow after the first stage. 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 (0.9%) 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 7.1%.

Terminal Value (TV)= FCF₂₀₃₁ × (1 + g) ÷ (r – g) = UK£666m× (1 + 0.9%) ÷ (7.1%– 0.9%) = UK£11b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= UK£11b÷ ( 1 + 7.1%)¹⁰= UK£5.5b

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 UK£10b. To get the intrinsic value per share, we divide this by the total number of shares outstanding. Compared to the current share price of UK£27.4, the company appears about fair value at a 14% 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.

Important 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 Persimmon 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 7.1%, which is based on a levered beta of 1.167. 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.

Looking Ahead:

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. 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 Persimmon, we've compiled three relevant aspects you should look at:

1. Risks: For example, we've discovered 1 warning sign for Persimmon that you should be aware of before investing here.
2. Future Earnings: How does PSN'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 British stock every day, so if you want to find the intrinsic value of any other stock 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.
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