# Calculating The Fair Value Of Nathan’s Famous, Inc. (NASDAQ:NATH)

In this article we are going to estimate the intrinsic value of Nathan’s Famous, Inc. (NASDAQ:NATH) 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 generally believe that a company’s value is the present value of all of the cash it will generate in the future. However, a DCF is just one valuation metric among many, and it is not without flaws. For those who are keen learners of equity analysis, the Simply Wall St analysis model here may be something of interest to you.

See our latest analysis for Nathan’s Famous

### What’s the estimated valuation?

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. Seeing as no analyst estimates of free cash flow are available to us, we have extrapolate the previous free cash flow (FCF) from the company’s last 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 need to discount the sum of these future cash flows to arrive at a present value estimate:

#### 10-year free cash flow (FCF) estimate

 2021 2022 2023 2024 2025 2026 2027 2028 2029 2030 Levered FCF (\$, Millions) US\$17.6m US\$19.2m US\$20.5m US\$21.6m US\$22.6m US\$23.5m US\$24.3m US\$25.0m US\$25.7m US\$26.3m Growth Rate Estimate Source Est @ 11.68% Est @ 8.84% Est @ 6.85% Est @ 5.46% Est @ 4.49% Est @ 3.81% Est @ 3.33% Est @ 3% Est @ 2.77% Est @ 2.6% Present Value (\$, Millions) Discounted @ 11% US\$15.9 US\$15.7 US\$15.1 US\$14.4 US\$13.6 US\$12.7 US\$11.9 US\$11.1 US\$10.3 US\$9.5

(“Est” = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = US\$130m

After calculating the present value of future cash flows in the initial 10-year period, we need to calculate the Terminal Value, which accounts for all future cash flows beyond 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 11%.

Terminal Value (TV)= FCF2030 × (1 + g) ÷ (r – g) = US\$26m× (1 + 2.2%) ÷ (11%– 2.2%) = US\$316m

Present Value of Terminal Value (PVTV)= TV / (1 + r)10= US\$316m÷ ( 1 + 11%)10= US\$114m

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\$244m. The last step is to then divide the equity value by the number of shares outstanding. Relative to the current share price of US\$52.4, the company appears about fair value at a 12% 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

The calculation above is very dependent on two assumptions. The first is the discount rate and the other is the 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 Nathan’s Famous 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 11%, which is based on a levered beta of 1.416. 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:

Whilst important, the DCF calculation 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. 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. For Nathan’s Famous, there are three additional elements you should explore:

1. Risks: Be aware that Nathan’s Famous is showing 3 warning signs in our investment analysis , and 1 of those doesn’t sit too well with us…
2. 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!
3. Other Environmentally-Friendly Companies: Concerned about the environment and think consumers will buy eco-friendly products more and more? Browse through our interactive list of companies that are thinking about a greener future to discover some stocks you may not have thought of!

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. 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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