Estimating The Fair Value Of WH Smith PLC (LON:SMWH)

Today we will run through one way of estimating the intrinsic value of WH Smith PLC (LON:SMWH) 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. It may sound complicated, but actually it is quite simple!

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 still have some burning questions about this type of valuation, take a look at the Simply Wall St analysis model.

View our latest analysis for WH Smith

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 begin with, we have to get estimates of 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.

Generally we assume that a dollar today is more valuable than a dollar in the future, and so the sum of these future cash flows is then discounted to today's value:

10-year free cash flow (FCF) forecast

	2023	2024	2025	2026	2027	2028	2029	2030	2031	2032
Levered FCF (£, Millions)	UK£84.1m	UK£97.7m	UK£107.3m	UK£115.1m	UK£121.2m	UK£126.0m	UK£129.9m	UK£133.1m	UK£135.7m	UK£138.0m
Growth Rate Estimate Source	Analyst x5	Analyst x5	Est @ 9.9%	Est @ 7.21%	Est @ 5.32%	Est @ 4.01%	Est @ 3.08%	Est @ 2.44%	Est @ 1.99%	Est @ 1.67%
Present Value (£, Millions) Discounted @ 7.0%	UK£78.5	UK£85.3	UK£87.5	UK£87.7	UK£86.3	UK£83.8	UK£80.7	UK£77.3	UK£73.6	UK£70.0

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = UK£810m

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 0.9%. We discount the terminal cash flows to today's value at a cost of equity of 7.0%.

Terminal Value (TV)= FCF₂₀₃₂ × (1 + g) ÷ (r – g) = UK£138m× (1 + 0.9%) ÷ (7.0%– 0.9%) = UK£2.3b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= UK£2.3b÷ ( 1 + 7.0%)¹⁰= UK£1.2b

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£2.0b. To get the intrinsic value per share, we divide this by the total number of shares outstanding. Relative to the current share price of UK£14.1, the company appears about fair value at a 6.4% 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

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. 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 WH Smith 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 7.0%, which is based on a levered beta of 1.261. 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.

Moving On:

Valuation is only one side of the coin in terms of building your investment thesis, and it shouldn't be the only metric you look at when researching 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. For example, changes in the company's cost of equity or the risk free rate can significantly impact the valuation. For WH Smith, we've compiled three fundamental elements you should explore:

1. Risks: Take risks, for example - WH Smith has 1 warning sign we think you should be aware of.
2. Future Earnings: How does SMWH'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. 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.

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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.