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$11.16
• With US$12.73 share price, Arhaus appears to be trading close to its estimated fair value
• The US$13.85 analyst price target for ARHS is 24% more than our estimate of fair value

Today we will run through one way of estimating the intrinsic value of Arhaus, Inc. (NASDAQ:ARHS) by taking the forecast future cash flows of the company and discounting them back to today's value. We will take advantage of the Discounted Cash Flow (DCF) model for this purpose. There's really not all that much to it, even though it might appear quite complex.

Companies can be valued in a lot of ways, so we would point out that a DCF is not perfect for every situation. For those who are keen learners of equity analysis, the Simply Wall St analysis model here may be something of interest to you.

View our latest analysis for Arhaus

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, and so the sum of these future cash flows is then discounted to today's value:

10-year free cash flow (FCF) estimate

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = US$608m

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 2.3%. We discount the terminal cash flows to today's value at a cost of equity of 7.6%.

Terminal Value (TV)= FCF₂₀₃₃ × (1 + g) ÷ (r – g) = US$103m× (1 + 2.3%) ÷ (7.6%– 2.3%) = US$2.0b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= US$2.0b÷ ( 1 + 7.6%)¹⁰= US$957m

The total value, or equity value, is then the sum of the present value of the future cash flows, which in this case is US$1.6b. The last step is to then divide the equity value by the number of shares outstanding. Compared to the current share price of US$12.7, the company appears around fair value at the time of writing. Remember though, that this is just an approximate valuation, and like any complex formula - garbage in, garbage out.

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. You don't have to agree with these inputs, I recommend redoing the calculations yourself and playing with them. 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 1.151. 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

Moving On:

Although the valuation of a company is important, it shouldn't be the only metric you look at when researching a company. DCF models are not the be-all and end-all of investment valuation. Instead the best use for a DCF model is to test certain assumptions and theories to see if they would lead to the company being undervalued or overvalued. For example, changes in the company's cost of equity or the risk free rate can significantly impact the valuation. For Arhaus, we've compiled three further elements you should further research:

1. Risks: For instance, we've identified 3 warning signs for Arhaus (2 make us uncomfortable) you should be aware of.
2. Future Earnings: How does ARHS'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 NASDAQGS 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.