Is There An Opportunity With Williams-Sonoma, Inc.'s (NYSE:WSM) 38% Undervaluation?

Key Insights

• The projected fair value for Williams-Sonoma is US$260 based on 2 Stage Free Cash Flow to Equity
• Williams-Sonoma is estimated to be 38% undervalued based on current share price of US$160
• Our fair value estimate is 72% higher than Williams-Sonoma's analyst price target of US$151

Today we will run through one way of estimating the intrinsic value of Williams-Sonoma, Inc. (NYSE:WSM) by estimating the company's future cash flows and discounting them to their present value. We will use the Discounted Cash Flow (DCF) model on this occasion. Believe it or not, it's not too difficult to follow, as you'll see from our example!

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.

See our latest analysis for Williams-Sonoma

The Model

We are going to use a two-stage DCF model, which, as the name states, takes into account two stages of growth. The first stage is generally a higher growth period which levels off heading towards the terminal value, captured in the second 'steady growth' period. 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, 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

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = US$6.8b

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 2.2%. We discount the terminal cash flows to today's value at a cost of equity of 7.3%.

Terminal Value (TV)= FCF₂₀₃₃ × (1 + g) ÷ (r – g) = US$1.0b× (1 + 2.2%) ÷ (7.3%– 2.2%) = US$20b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= US$20b÷ ( 1 + 7.3%)¹⁰= US$9.9b

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 US$17b. To get the intrinsic value per share, we divide this by the total number of shares outstanding. Relative to the current share price of US$160, the company appears quite good value at a 38% 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. 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 Williams-Sonoma 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 7.3%, which is based on a levered beta of 1.036. 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.

SWOT Analysis for Williams-Sonoma

Looking Ahead:

Although the valuation of a company is important, it is only one of many factors that you need to assess for a company. It's not possible to obtain a foolproof valuation with a DCF model. Rather it should be seen as a guide to "what assumptions need to be true for this stock to be under/overvalued?" For instance, if the terminal value growth rate is adjusted slightly, it can dramatically alter the overall result. Why is the intrinsic value higher than the current share price? For Williams-Sonoma, we've put together three further elements you should look at:

1. Risks: Consider for instance, the ever-present spectre of investment risk. We've identified 2 warning signs with Williams-Sonoma (at least 1 which is potentially serious) , and understanding these should be part of your investment process.
2. Management:Have insiders been ramping up their shares to take advantage of the market's sentiment for WSM's future outlook? Check out our management and board analysis with insights on CEO compensation and governance factors.
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 American 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.