Does This Valuation Of ANSYS, Inc. (NASDAQ:ANSS) Imply Investors Are Overpaying?

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. 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.

Companies can be valued in a lot of ways, so we would point out that a DCF is not perfect for every situation. 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 ANSYS

Step by step through the calculation

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 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 discount the value of these future cash flows to their estimated value in today's dollars:

10-year free cash flow (FCF) estimate

	2022	2023	2024	2025	2026	2027	2028	2029	2030	2031
Levered FCF ($, Millions)	US$597.9m	US$654.4m	US$862.8m	US$997.2m	US$1.10b	US$1.18b	US$1.25b	US$1.31b	US$1.36b	US$1.40b
Growth Rate Estimate Source	Analyst x9	Analyst x6	Analyst x2	Analyst x2	Est @ 9.91%	Est @ 7.54%	Est @ 5.87%	Est @ 4.71%	Est @ 3.89%	Est @ 3.32%
Present Value ($, Millions) Discounted @ 6.5%	US$561	US$577	US$714	US$774	US$799	US$806	US$801	US$787	US$768	US$745

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = US$7.3b

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 2.0%. 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$1.4b× (1 + 2.0%) ÷ (6.5%– 2.0%) = US$31b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= US$31b÷ ( 1 + 6.5%)¹⁰= US$17b

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$24b. The last step is to then divide the equity value by the number of shares outstanding. Relative to the current share price of US$358, the company appears slightly overvalued at the time of writing. Remember though, that this is just an approximate valuation, and like any complex formula - garbage in, garbage out.

dcf

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 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 6.5%, which is based on a levered beta of 0.963. 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 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. 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. What is the reason for the share price exceeding the intrinsic value? For ANSYS, there are three essential aspects you should assess:

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

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. 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.

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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