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# Calculating The Intrinsic Value Of Synaptics Incorporated (NASDAQ:SYNA)

In this article we are going to estimate the intrinsic value of Synaptics Incorporated (NASDAQ:SYNA) by taking the expected future cash flows and discounting them to today's value. I will be using the Discounted Cash Flow (DCF) model. Don't get put off by the jargon, the math behind it is actually quite straightforward.

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.

### The model

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 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 are 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) estimate

 2019 2020 2021 2022 2023 2024 2025 2026 2027 2028 Levered FCF (\$, Millions) US\$159 US\$118 US\$125 US\$131 US\$136 US\$141 US\$146 US\$151 US\$155 US\$160 Growth Rate Estimate Source Analyst x3 Analyst x4 Analyst x1 Est @ 4.65% Est @ 4.07% Est @ 3.67% Est @ 3.39% Est @ 3.19% Est @ 3.05% Est @ 2.96% Present Value (\$, Millions) Discounted @ 10.47% US\$144 US\$97.0 US\$92.7 US\$87.8 US\$82.7 US\$77.7 US\$72.7 US\$67.9 US\$63.3 US\$59.0

Present Value of 10-year Cash Flow (PVCF)= \$845.18m

"Est" = FCF growth rate estimated by Simply Wall St

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 10-year government bond rate of 2.7%. We discount the terminal cash flows to today's value at a cost of equity of 10.5%.

Terminal Value (TV) = FCF2029 Ã— (1 + g) Ã· (r â€“ g) = US\$160m Ã— (1 + 2.7%) Ã· (10.5% â€“ 2.7%) = US\$2.1b

Present Value of Terminal Value (PVTV) = TV / (1 + r)10 = \$US\$2.1b Ã· ( 1 + 10.5%)10 = \$783.42m

The total value, or equity value, is then the sum of the present value of the future cash flows, which in this case is \$1.63b. The last step is to then divide the equity value by the number of shares outstanding. This results in an intrinsic value estimate of \$47.34. Compared to the current share price of \$38.84, the company appears about fair value at a 18% discount to what it is available for right now. The assumptions in a DCF 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

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 Synaptics 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 10.5%, which is based on a levered beta of 1.299. 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 Synaptics, There are three pertinent aspects you should look at:

1. Financial Health: Does SYNA 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 SYNA'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 SYNA? Explore our interactive list of high quality stocks to get an idea of what else is out there you may be missing!

PS. Simply Wall St updates its DCF calculation for every US stock every day, so if you want to find the intrinsic value of any other stock 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.