An Intrinsic Calculation For PageGroup plc (LON:PAGE) Suggests It's 25% Undervalued

Today we'll do a simple run through of a valuation method used to estimate the attractiveness of PageGroup plc (LON:PAGE) as an investment opportunity by taking the expected future cash flows and discounting them to today's value. The Discounted Cash Flow (DCF) model is the tool we will apply to do this. 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. Anyone interested in learning a bit more about intrinsic value should have a read of the Simply Wall St analysis model.

View our latest analysis for PageGroup

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, so we need to discount the sum of these future cash flows to arrive at a present value estimate:

10-year free cash flow (FCF) forecast

	2022	2023	2024	2025	2026	2027	2028	2029	2030	2031
Levered FCF (£, Millions)	UK£105.3m	UK£114.1m	UK£120.3m	UK£125.1m	UK£129.0m	UK£132.2m	UK£134.8m	UK£137.0m	UK£139.0m	UK£140.8m
Growth Rate Estimate Source	Analyst x7	Analyst x6	Est @ 5.41%	Est @ 4.06%	Est @ 3.11%	Est @ 2.45%	Est @ 1.98%	Est @ 1.66%	Est @ 1.43%	Est @ 1.27%
Present Value (£, Millions) Discounted @ 5.4%	UK£99.9	UK£103	UK£103	UK£101	UK£99.1	UK£96.3	UK£93.1	UK£89.8	UK£86.4	UK£83.0

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = UK£954m

The second stage is also known as Terminal Value, this is the business's cash flow after 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 5.4%.

Terminal Value (TV)= FCF₂₀₃₁ × (1 + g) ÷ (r – g) = UK£141m× (1 + 0.9%) ÷ (5.4%– 0.9%) = UK£3.1b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= UK£3.1b÷ ( 1 + 5.4%)¹⁰= UK£1.9b

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£2.8b. In the final step we divide the equity value by the number of shares outstanding. Compared to the current share price of UK£6.7, the company appears a touch undervalued at a 25% 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. 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 PageGroup 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 5.4%, which is based on a levered beta of 0.925. 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:

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. 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. Why is the intrinsic value higher than the current share price? For PageGroup, there are three important aspects you should look at:

1. Risks: As an example, we've found 1 warning sign for PageGroup that you need to consider before investing here.
2. Future Earnings: How does PAGE'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 LSE every day. If you want to find the calculation for other stocks just search here.

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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