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# Calculating The Intrinsic Value Of Murphy USA Inc. (NYSE:MUSA)

Does the September share price for Murphy USA Inc. (NYSE:MUSA) reflect what it's really worth? Today, we will estimate the stock's intrinsic value by taking the foreast future cash flows of the company and discounting them back to today's value. I will use the Discounted Cash Flow (DCF) model. Don't get put off by the jargon, the math behind it is actually quite straightforward.

Companies can be valued in a lot of ways, so we would point out that a DCF is not perfect for every situation. Anyone interested in learning a bit more about intrinsic value should have a read of the Simply Wall St analysis model.

View our latest analysis for Murphy USA

### 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. 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

 2020 2021 2022 2023 2024 2025 2026 2027 2028 2029 Levered FCF (\$, Millions) US\$42.2m US\$92.5m US\$108.5m US\$139.4m US\$162.9m US\$183.5m US\$201.3m US\$216.5m US\$229.8m US\$241.5m Growth Rate Estimate Source Analyst x2 Analyst x1 Analyst x1 Analyst x1 Est @ 16.88% Est @ 12.64% Est @ 9.67% Est @ 7.58% Est @ 6.13% Est @ 5.11% Present Value (\$, Millions) Discounted @ 9.0% US\$38.7 US\$77.8 US\$83.7 US\$98.6 US\$106 US\$109 US\$110 US\$108 US\$105 US\$102

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = US\$938m

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 10-year government bond rate of 2.7%. We discount the terminal cash flows to today's value at a cost of equity of 9.0%.

Terminal Value (TV)= FCF2019 Ã— (1 + g) Ã· (r â€“ g) = US\$242mÃ— (1 + 2.7%) Ã· 9.0%â€“ 2.7%) = US\$3.9b

Present Value of Terminal Value (PVTV)= TV / (1 + r)10= US\$3.9bÃ· ( 1 + 9.0%)10= US\$1.7b

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\$2.6b. 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\$86.6, the company appears around fair value at the time of writing. 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 Murphy USA 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 9.0%, which is based on a levered beta of 1.060. 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, DCF calculation shouldnâ€™t be the only metric you look at when researching a company. The DCF model is not a perfect stock valuation tool. 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 Murphy USA, I've compiled three pertinent factors you should look at:

1. Financial Health: Does MUSA have a healthy balance sheet? Take a look at our free balance sheet analysis with six simple checks on key factors like leverage and risk.
2. Future Earnings: How does MUSA'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: Are there other high quality stocks you could be holding instead of MUSA? 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.

We aim to bring you long-term focused research analysis driven by fundamental data. Note that our analysis may not factor in the latest price-sensitive company announcements or qualitative material.

If you spot an error that warrants correction, please contact the editor at editorial-team@simplywallst.com. 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. Simply Wall St has no position in the stocks mentioned. Thank you for reading.