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Today we'll do a simple run through of a valuation method used to estimate the attractiveness of Aspen Technology, Inc. (NASDAQ:AZPN) as an investment opportunity by taking the expected future cash flows and discounting them to today's value. One way to achieve this is by employing the Discounted Cash Flow (DCF) model. There's really not all that much to it, even though it might appear quite complex.
We would caution that there are many ways of valuing a company and, like the DCF, each technique has advantages and disadvantages in certain scenarios. For those who are keen learners of equity analysis, the Simply Wall St analysis model here may be something of interest to you.
Step by step through 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 start off with, we need to estimate 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, and so the sum of these future cash flows is then discounted to today's value:
10-year free cash flow (FCF) forecast
Levered FCF ($, Millions)
Growth Rate Estimate Source
Est @ 7.95%
Est @ 6.14%
Est @ 4.88%
Est @ 3.99%
Est @ 3.37%
Est @ 2.93%
Est @ 2.63%
Present Value ($, Millions) Discounted @ 6.2%
("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = US$3.2b
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 1.9%. We discount the terminal cash flows to today's value at a cost of equity of 6.2%.
Terminal Value (TV)= FCF2031 × (1 + g) ÷ (r – g) = US$545m× (1 + 1.9%) ÷ (6.2%– 1.9%) = US$13b
Present Value of Terminal Value (PVTV)= TV / (1 + r)10= US$13b÷ ( 1 + 6.2%)10= US$7.1b
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$10b. 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$198, the company appears slightly overvalued 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.
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 Aspen Technology 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 6.2%, which is based on a levered beta of 1.016. 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.
Although the valuation of a company is important, it ideally won't be the sole piece of analysis you scrutinize for a company. DCF models are not the be-all and end-all of investment valuation. 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. For instance, if the terminal value growth rate is adjusted slightly, it can dramatically alter the overall result. Why is the intrinsic value lower than the current share price? For Aspen Technology, there are three important elements you should consider:
Risks: Every company has them, and we've spotted 1 warning sign for Aspen Technology you should know about.
Future Earnings: How does AZPN'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.
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.