Calculating The Intrinsic Value Of Arhaus, Inc. (NASDAQ:ARHS)

Key Insights

• Using the 2 Stage Free Cash Flow to Equity, Arhaus fair value estimate is US$16.73
• Arhaus' US$15.85 share price indicates it is trading at similar levels as its fair value estimate
• Analyst price target for ARHS is US$18.64, which is 11% above our fair value estimate

Does the July share price for Arhaus, Inc. (NASDAQ:ARHS) reflect what it's really worth? Today, we will estimate the stock's intrinsic value by projecting its future cash flows and then discounting them to today's value. One way to achieve this is by employing the Discounted Cash Flow (DCF) model. It may sound complicated, but actually it is quite simple!

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.

See our latest analysis for Arhaus

What's The Estimated Valuation?

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.

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

	2025	2026	2027	2028	2029	2030	2031	2032	2033	2034
Levered FCF ($, Millions)	US$109.2m	US$122.4m	US$126.7m	US$130.8m	US$134.7m	US$138.4m	US$142.1m	US$145.7m	US$149.4m	US$153.1m
Growth Rate Estimate Source	Analyst x3	Analyst x2	Est @ 3.55%	Est @ 3.20%	Est @ 2.95%	Est @ 2.78%	Est @ 2.66%	Est @ 2.58%	Est @ 2.52%	Est @ 2.48%
Present Value ($, Millions) Discounted @ 7.6%	US$101	US$106	US$102	US$97.6	US$93.3	US$89.2	US$85.1	US$81.1	US$77.3	US$73.6

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = US$906m

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 2.4%. We discount the terminal cash flows to today's value at a cost of equity of 7.6%.

Terminal Value (TV)= FCF₂₀₃₄ × (1 + g) ÷ (r – g) = US$153m× (1 + 2.4%) ÷ (7.6%– 2.4%) = US$3.0b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= US$3.0b÷ ( 1 + 7.6%)¹⁰= US$1.4b

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$2.3b. 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$15.9, the company appears about fair value at a 5.3% 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 Arhaus 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 7.6%, which is based on a levered beta of 1.136. 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 Arhaus

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. Preferably you'd apply different cases and assumptions and see how they would impact the company's valuation. For instance, if the terminal value growth rate is adjusted slightly, it can dramatically alter the overall result. For Arhaus, we've put together three additional aspects you should further examine:

1. Risks: Consider for instance, the ever-present spectre of investment risk. We've identified 2 warning signs with Arhaus (at least 1 which is a bit unpleasant) , and understanding them 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 ARHS'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.

Have feedback on this article? Concerned about the content? Get in touch with us directly. Alternatively, email editorial-team@simplywallst.com