Is Persimmon Plc (LON:PSN) Trading At A 49% Discount?

Today we will run through one way of estimating the intrinsic value of Persimmon Plc (LON:PSN) by projecting its future cash flows and then discounting them to today's value. We will take advantage of the Discounted Cash Flow (DCF) model for this purpose. Believe it or not, it's not too difficult to follow, as you'll see from our example!

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 Persimmon

Step By Step Through The Calculation

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. 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) forecast

	2023	2024	2025	2026	2027	2028	2029	2030	2031	2032
Levered FCF (£, Millions)	UK£636.5m	UK£761.0m	UK£916.0m	UK£785.0m	UK£709.3m	UK£663.4m	UK£635.2m	UK£618.0m	UK£608.1m	UK£602.9m
Growth Rate Estimate Source	Analyst x6	Analyst x6	Analyst x1	Analyst x1	Est @ -9.65%	Est @ -6.47%	Est @ -4.25%	Est @ -2.7%	Est @ -1.61%	Est @ -0.85%
Present Value (£, Millions) Discounted @ 6.1%	UK£600	UK£676	UK£767	UK£620	UK£528	UK£465	UK£420	UK£385	UK£357	UK£334

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = UK£5.2b

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. 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 6.1%.

Terminal Value (TV)= FCF₂₀₃₂ × (1 + g) ÷ (r – g) = UK£603m× (1 + 0.9%) ÷ (6.1%– 0.9%) = UK£12b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= UK£12b÷ ( 1 + 6.1%)¹⁰= UK£6.5b

The total value, or equity value, is then the sum of the present value of the future cash flows, which in this case is UK£12b. In the final step we divide the equity value by the number of shares outstanding. Compared to the current share price of UK£18.6, the company appears quite good value at a 49% 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.

Important Assumptions

We would point out that 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 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 6.1%, which is based on a levered beta of 1.065. 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:

Whilst important, the DCF calculation ideally won't be the sole piece of analysis you scrutinize for a company. The DCF model is not a perfect stock valuation tool. 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 Persimmon, there are three further factors you should further research:

1. Risks: For example, we've discovered 2 warning signs 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.