# Calculating The Intrinsic Value Of The Gorman-Rupp Company (NYSE:GRC)

Does the October share price for The Gorman-Rupp Company (NYSE:GRC) reflect what it's really worth? Today, we will estimate the stock's intrinsic value 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. There's really not all that much to it, even though it might appear quite complex.

Remember though, that there are many ways to estimate a company's value, and a DCF is just one method. 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 Gorman-Rupp

### Crunching the numbers

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. 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.

A DCF is all about the idea that a dollar in the future is less valuable than a dollar today, 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

 2022 2023 2024 2025 2026 2027 2028 2029 2030 2031 Levered FCF (\$, Millions) US\$41.9m US\$45.3m US\$45.3m US\$45.5m US\$46.0m US\$46.6m US\$47.2m US\$48.0m US\$48.8m US\$49.7m Growth Rate Estimate Source Analyst x1 Analyst x1 Est @ -0.02% Est @ 0.58% Est @ 0.99% Est @ 1.28% Est @ 1.49% Est @ 1.63% Est @ 1.73% Est @ 1.8% Present Value (\$, Millions) Discounted @ 6.5% US\$39.4 US\$39.9 US\$37.4 US\$35.3 US\$33.5 US\$31.8 US\$30.3 US\$28.9 US\$27.6 US\$26.4

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = US\$330m

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 2.0%. We discount the terminal cash flows to today's value at a cost of equity of 6.5%.

Terminal Value (TV)= FCF2031 × (1 + g) ÷ (r – g) = US\$50m× (1 + 2.0%) ÷ (6.5%– 2.0%) = US\$1.1b

Present Value of Terminal Value (PVTV)= TV / (1 + r)10= US\$1.1b÷ ( 1 + 6.5%)10= US\$589m

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\$919m. To get the intrinsic value per share, we divide this by the total number of shares outstanding. Compared to the current share price of US\$39.2, the company appears around fair value at the time of writing. The assumptions in any calculation have a big impact on the valuation, so it is better to view this as a rough estimate, not precise down to the last cent.

### Important assumptions

Now 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 Gorman-Rupp 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 6.5%, which is based on a levered beta of 1.044. 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:

Although the valuation of a company is important, it ideally won't be the sole piece of analysis you scrutinize 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?" If a company grows at a different rate, or if its cost of equity or risk free rate changes sharply, the output can look very different. For Gorman-Rupp, there are three further elements you should explore:

1. Risks: For example, we've discovered 1 warning sign for Gorman-Rupp that you should be aware of before investing here.

2. Future Earnings: How does GRC'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 NYSE every day. If you want to find the calculation for other stocks just search here.

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.

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