Estimating The Intrinsic Value Of ANSYS, Inc. (NASDAQ:ANSS)

How far off is ANSYS, Inc. (NASDAQ:ANSS) from its intrinsic value? Using the most recent financial data, we'll take a look at whether the stock is fairly priced by estimating the company's future cash flows and discounting them to their present value. Our analysis will employ the Discounted Cash Flow (DCF) model. Believe it or not, it's not too difficult to follow, as you'll see from our example!

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. If you want to learn more about discounted cash flow, the rationale behind this calculation can be read in detail in the Simply Wall St analysis model.

See our latest analysis for ANSYS

The model

We are going to use a two-stage DCF model, which, as the name states, takes into account two stages of growth. The first stage is generally a higher growth period which levels off heading towards the terminal value, captured in the second 'steady growth' period. 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

	2023	2024	2025	2026	2027	2028	2029	2030	2031	2032
Levered FCF ($, Millions)	US$666.7m	US$823.0m	US$982.0m	US$1.08b	US$1.15b	US$1.21b	US$1.26b	US$1.31b	US$1.35b	US$1.39b
Growth Rate Estimate Source	Analyst x8	Analyst x3	Analyst x1	Analyst x1	Est @ 6.7%	Est @ 5.28%	Est @ 4.27%	Est @ 3.57%	Est @ 3.08%	Est @ 2.74%
Present Value ($, Millions) Discounted @ 6.3%	US$627	US$729	US$818	US$846	US$849	US$841	US$825	US$804	US$780	US$754

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = US$7.9b

The second stage is also known as Terminal Value, this is the business's cash flow after the first stage. For a number of reasons a very conservative growth rate is used that cannot exceed that of a country's GDP growth. In this case we have used the 5-year average of the 10-year government bond yield (1.9%) to estimate future growth. In the same way as with the 10-year 'growth' period, we discount future cash flows to today's value, using a cost of equity of 6.3%.

Terminal Value (TV)= FCF₂₀₃₂ × (1 + g) ÷ (r – g) = US$1.4b× (1 + 1.9%) ÷ (6.3%– 1.9%) = US$33b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= US$33b÷ ( 1 + 6.3%)¹⁰= US$18b

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$26b. The last step is to then divide the equity value by the number of shares outstanding. Compared to the current share price of US$240, the company appears about fair value at a 18% discount to where the stock price trades currently. Remember though, that this is just an approximate valuation, and like any complex formula - garbage in, garbage out.

The assumptions

The calculation above is very dependent on two assumptions. The first is the discount rate and the other is the 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 ANSYS 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 6.3%, which is based on a levered beta of 1.026. 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. The DCF model is not a perfect stock valuation tool. 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. 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 ANSYS, there are three further items you should further examine:

1. Risks: For instance, we've identified 2 warning signs for ANSYS that you should be aware of.
2. Future Earnings: How does ANSS'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. Simply Wall St updates its DCF calculation for every American stock every day, so if you want to find the intrinsic value of any other stock 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.