In this article we are going to estimate the intrinsic value of Aspen Technology, Inc. (NASDAQ:AZPN) 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. 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. If you still have some burning questions about this type of valuation, take a look at the Simply Wall St analysis model.
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.
Generally we assume that a dollar today is more valuable than a dollar in the future, 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
|Levered FCF ($, Millions)||US$355.6m||US$368.3m||US$378.8m||US$388.5m||US$397.8m||US$406.7m||US$415.5m||US$424.2m||US$432.9m||US$441.6m|
|Growth Rate Estimate Source||Analyst x3||Analyst x1||Est @ 2.84%||Est @ 2.57%||Est @ 2.38%||Est @ 2.25%||Est @ 2.16%||Est @ 2.09%||Est @ 2.05%||Est @ 2.01%|
|Present Value ($, Millions) Discounted @ 6.2%||US$335||US$327||US$317||US$306||US$295||US$284||US$273||US$263||US$253||US$243|
("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = US$2.9b
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 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)= FCF2032 × (1 + g) ÷ (r – g) = US$442m× (1 + 1.9%) ÷ (6.2%– 1.9%) = US$11b
Present Value of Terminal Value (PVTV)= TV / (1 + r)10= US$11b÷ ( 1 + 6.2%)10= US$5.9b
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$8.8b. In the final step we divide the equity value by the number of shares outstanding. Compared to the current share price of US$179, the company appears potentially overvalued 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.
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 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 0.995. 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.
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. Preferably you'd apply different cases and assumptions and see how they would impact the company's valuation. For example, changes in the company's cost of equity or the risk free rate can significantly impact the valuation. Can we work out why the company is trading at a premium to intrinsic value? For Aspen Technology, there are three further items you should consider:
- Financial Health: Does AZPN 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.
- 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. 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.
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Find out whether Aspen Technology is potentially over or undervalued by checking out our comprehensive analysis, which includes fair value estimates, risks and warnings, dividends, insider transactions and financial health.View the Free Analysis
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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.