share_log

Estimating The Fair Value Of Aspen Technology, Inc. (NASDAQ:AZPN)

Estimating The Fair Value Of Aspen Technology, Inc. (NASDAQ:AZPN)

估算Aspen Technology, Inc. (納斯達克:AZPN)的合理價值。
Simply Wall St ·  07/04 22:11

Key Insights

關鍵見解

  • The projected fair value for Aspen Technology is US$229 based on 2 Stage Free Cash Flow to Equity
  • Aspen Technology's US$200 share price indicates it is trading at similar levels as its fair value estimate
  • The US$220 analyst price target for AZPN is 3.8% less than our estimate of fair value
  • 根據兩階段自由現金流入股本計算,Aspen Technology的預計公允價值爲229美元
  • Aspen Technology的200美元股價表明其交易價格與其公允價值估計相似
  • 分析師對AZPN的220美元目標股價比我們的公允價值估計低3.8%

Does the July share price for Aspen Technology, Inc. (NASDAQ:AZPN) reflect what it's really worth? Today, we will estimate the stock's intrinsic value by taking the expected future cash flows and discounting them to their present value. We will use the Discounted Cash Flow (DCF) model on this occasion. Believe it or not, it's not too difficult to follow, as you'll see from our example!

阿斯彭科技公司(納斯達克股票代碼:AZPN)7月份的股價是否反映了其真正價值?今天,我們將通過採用預期的未來現金流並將其折現爲現值來估算股票的內在價值。在這種情況下,我們將使用折扣現金流(DCF)模型。信不信由你,這並不難理解,正如你將從我們的例子中看到的那樣!

Companies can be valued in a lot of ways, so we would point out that a DCF is not perfect for every situation. Anyone interested in learning a bit more about intrinsic value should have a read of the Simply Wall St analysis model.

公司可以在很多方面得到估值,因此我們要指出,DCF並不適合所有情況。任何有興趣進一步了解內在價值的人都應該讀一讀 Simply Wall St 分析模型。

Is Aspen Technology Fairly Valued?

阿斯彭科技的價值是否合理?

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.

我們將使用兩階段的DCF模型,顧名思義,該模型考慮了兩個增長階段。第一階段通常是較高的增長期,在第二個 “穩步增長” 時期逐漸趨於平穩,最終值是第二個 “穩定增長” 時期。在第一階段,我們需要估算未來十年的業務現金流。在可能的情況下,我們會使用分析師的估計值,但是當這些估計值不可用時,我們會從最新的估計值或報告的價值中推斷出之前的自由現金流(FCF)。我們假設自由現金流萎縮的公司將減緩其萎縮速度,而自由現金流不斷增長的公司在此期間的增長率將放緩。我們這樣做是爲了反映早期增長的放緩幅度往往比後來的幾年更大。

A DCF is all about the idea that a dollar in the future is less valuable than a dollar today, so we discount the value of these future cash flows to their estimated value in today's dollars:

差價合約就是關於未來一美元的價值低於今天一美元的概念,因此我們將這些未來現金流的價值折現爲以今天的美元計算的估計價值:

10-year free cash flow (FCF) estimate

10 年自由現金流 (FCF) 估計

2025 2026 2027 2028 2029 2030 2031 2032 2033 2034
Levered FCF ($, Millions) US$399.4m US$472.2m US$374.9m US$505.0m US$646.0m US$709.6m US$763.5m US$809.6m US$849.6m US$885.0m
Growth Rate Estimate Source Analyst x7 Analyst x5 Analyst x3 Analyst x1 Analyst x1 Est @ 9.84% Est @ 7.60% Est @ 6.04% Est @ 4.94% Est @ 4.17%
Present Value ($, Millions) Discounted @ 6.9% US$374 US$413 US$307 US$386 US$462 US$475 US$478 US$474 US$465 US$453
2025 2026 2027 2028 2029 2030 2031 2032 2033 2034
Levered FCF(美元,百萬) 399.4 億美元 4.722 億美元 374.9 億美元 505.0 億美元 646.0 億美元 709.6 億美元 763.5 億美元 809.6 億美元 849.6 億美元 885.0 億美元
增長率估算來源 分析師 x7 分析師 x5 分析師 x3 分析師 x1 分析師 x1 美國東部時間 @ 9.84% Est @ 7.60% 美國東部標準時間 @ 6.04% 美國東部時間 @ 4.94% Est @ 4.17%
現值(美元,百萬)折扣 @ 6.9% 374 美元 413 美元 307 美元 386 美元 462 美元 475 美元 478 美元 474 美元 465 美元 453 美元

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = US$4.3b

(“Est” = Simply Wall St估計的FCF增長率)
十年期現金流(PVCF)的現值 = 43 億美元

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 2.4%. We discount the terminal cash flows to today's value at a cost of equity of 6.9%.

我們現在需要計算終值,該值涵蓋了這十年之後的所有未來現金流。戈登增長公式用於計算終值,其未來年增長率等於10年期國債收益率2.4%的5年平均水平。我們將終端現金流折現爲今天的價值,股本成本爲6.9%。

Terminal Value (TV)= FCF2034 × (1 + g) ÷ (r – g) = US$885m× (1 + 2.4%) ÷ (6.9%– 2.4%) = US$20b

終端價值 (TV) = FCF2034 × (1 + g) ÷ (r — g) = 8.85億美元× (1 + 2.4%) ÷ (6.9% — 2.4%) = 200億美元

Present Value of Terminal Value (PVTV)= TV / (1 + r)10= US$20b÷ ( 1 + 6.9%)10= US$10b

終端價值的現值 (PVTV) = 電視/ (1 + r)10= 200億美元÷ (1 + 6.9%)10= 100 億美元

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$14b. 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$200, the company appears about fair value at a 13% discount to where the stock price trades currently. 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.

總價值是未來十年的現金流總額加上貼現的終端價值,由此得出總權益價值,在本例中爲140億美元。爲了得出每股內在價值,我們將其除以已發行股票總數。相對於目前200美元的股價,該公司的公允價值似乎比目前的股價折扣了13%。但是,估值是不精確的工具,就像望遠鏡一樣——移動幾度,最終進入另一個星系。請記住這一點。

dcf
NasdaqGS:AZPN Discounted Cash Flow July 4th 2024
納斯達克GS:AZPN 貼現現金流 2024 年 7 月 4 日

Important Assumptions

重要假設

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 6.9%, which is based on a levered beta of 0.989. 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.

上面的計算在很大程度上取決於兩個假設。第一個是貼現率,另一個是現金流。投資的一部分是自己對公司未來業績的評估,因此請自己嘗試計算並檢查自己的假設。DCF也沒有考慮一個行業可能的週期性,也沒有考慮公司未來的資本需求,因此它沒有全面反映公司的潛在表現。鑑於我們將Aspen Technology視爲潛在股東,因此使用權益成本作爲貼現率,而不是構成債務的資本成本(或加權平均資本成本,WACC)。在此計算中,我們使用了6.9%,這是基於0.989的槓桿測試版。Beta是衡量股票與整個市場相比波動性的指標。我們的測試版來自全球可比公司的行業平均貝塔值,設定在0.8到2.0之間,這是一個穩定的業務的合理範圍。

Next Steps:

後續步驟:

Whilst important, the DCF calculation shouldn't be the only metric you look at when researching a company. DCF models are not the be-all and end-all of investment valuation. Rather it should be seen as a guide to "what assumptions need to be true for this stock to be under/overvalued?" For instance, if the terminal value growth rate is adjusted slightly, it can dramatically alter the overall result. For Aspen Technology, there are three relevant items you should look at:

儘管重要,但DCF的計算不應是你在研究公司時唯一考慮的指標。DCF模型並不是投資估值的萬能藥。相反,它應該被視爲 “需要哪些假設才能低估/高估這隻股票的價值?” 的指南例如,如果稍微調整終值增長率,則可能會極大地改變整體結果。對於 Aspen Technology,您應該考慮三個相關項目:

  1. 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.
  2. 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.
  3. Other Solid Businesses: Low debt, high returns on equity and good past performance are fundamental to a strong business. Why not explore our interactive list of stocks with solid business fundamentals to see if there are other companies you may not have considered!
  1. 財務狀況:AZPN的資產負債表是否良好?看看我們的免費資產負債表分析,其中包含對槓桿和風險等關鍵因素的六項簡單檢查。
  2. 未來收益:與同行和整個市場相比,AZPN的增長率如何?通過與我們的免費分析師增長預期圖表互動,深入了解未來幾年的分析師共識數字。
  3. 其他穩健的業務:低債務、高股本回報率和良好的過去表現是強大業務的基礎。爲什麼不瀏覽我們具有堅實業務基礎的股票互動清單,看看是否還有其他你可能沒有考慮過的公司!

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.

PS。Simply Wall St應用程序每天對納斯達克證券交易所的每隻股票進行折扣現金流估值。如果您想找到其他股票的計算方法,請在此處搜索。

Have feedback on this article? Concerned about the content? Get in touch with us directly. Alternatively, email editorial-team (at) simplywallst.com.
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.

對這篇文章有反饋嗎?對內容感到擔憂?直接聯繫我們。 或者,給編輯團隊 (at) simplywallst.com 發送電子郵件。
Simply Wall St的這篇文章本質上是籠統的。我們僅使用公正的方法根據歷史數據和分析師的預測提供評論,我們的文章無意作爲財務建議。它不構成買入或賣出任何股票的建議,也沒有考慮到您的目標或財務狀況。我們的目標是爲您提供由基本數據驅動的長期重點分析。請注意,我們的分析可能不考慮最新的價格敏感型公司公告或定性材料。簡而言之,華爾街沒有持有任何上述股票的頭寸。

Have feedback on this article? Concerned about the content? Get in touch with us directly. Alternatively, email editorial-team@simplywallst.com

對這篇文章有反饋嗎?對內容感到擔憂?直接聯繫我們。 或者,發送電子郵件至 editorial-team@simplywallst.com

譯文內容由第三人軟體翻譯。


以上內容僅用作資訊或教育之目的,不構成與富途相關的任何投資建議。富途竭力但無法保證上述全部內容的真實性、準確性和原創性。
    搶先評論