机会与预期
Counterpoint Global Insights 机遇与预期 估值中的增长机会现值
Counterpoint Global Insights Opportunities and Expectations The Present Value of Growth Opportunities in Valuation
CONSILIENT OBSERVER | 2026 年 6 月 18 日
CONSILIENT OBSERVER | June 18, 2026
Introduction
Introduction
基本面投资的目的是,为一家公司的部分股权支付低于其价值的价格,预期价格和价值之间的差距会随着时间的推移而缩小。
The goal of fundamental investing is to pay a price for a stake in a company that is less than its value in anticipation that price and
价值终将收敛。如果价格与价值之间的差距缩小,投资者就会获得超额回报。
value will converge. An investor will earn an excess return if the Dan Callahan, CFA gap between price and value narrows.
价格是这笔计算中透明的那部分,因为在股市开市期间它会被持续报价。价值则是晦暗的那部分,因为它基于未来现金流的现值,而没人知道未来会怎样。
Price is the transparent part of this calculation because it is quoted continually when the stock market is open. Value is the opaque part because it is based on the present value of future cash flows, and no one knows what the future holds.
你可以将预期现金流的价值分为两部分来思考。第一部分是公司当前业务模式的延续。例如,你可能假设一家公司每年每股盈利 2 美元,且在稳态基础上能够维持这一水平。第二部分是未来创造价值的投资选择权,被称为“增长机会的现值”(PVGO),这一术语由金融经济学家斯图尔特·迈尔斯提出。“增长”在这里指的是价值创造,即投资回报率高于资本机会成本的能力。“机会”则体现了这些投资是可选择权的概念——它们赋予行动的权利,而非义务。
You can think about the value of prospective cash flows in two parts.1 The first is the continuation of what a company is doing today. For instance, you might assume that a company earning $2 per share annually can sustain that level on a steady-state basis. The second part is the option to make investments in the future that create value. This part is called the “present value of growth opportunities” (PVGO), a term coined by Stewart Myers, a financial economist.2 “Growth” here refers to value creation, the ability to earn a return on investment higher than the opportunity cost of capital. “Opportunities” captures the idea that these investments are options, which confer the right but not the obligation to act.
对于大多数公司的股票,乃至整个市场而言,股价中的一部分可以归因于 PVGO。稳态价值与 PVGO 对总价格的贡献,就是预期的代理变量。当股价中稳态价值占大部分时,市场对这家公司未来价值创造的预期较低(前提是该业务并非周期性行业或处于长期衰退中)。当 PVGO 在价格中占比较高时,市场对价值创造的预期就高。
For the stocks of most companies, and for the market overall, some of the price is attributable to PVGO. The contributions of steady state and PVGO to total price are proxies for expectations. When the steady state is most of the stock price, expectations about future value creation are low (presuming the business is not cyclical or in secular decline). When the PVGO is a large percentage of the price, expectations about value creation are high.
本报告在整体市场以及单个公司的背景下审视了 PVGO,还考察了 PVGO 百分比相较于传统价值因子——市净率的表现如何。我们发现,PVGO 百分比可以成为其他估值方法的有益补充。
This report examines PVGO in the context of the overall market as well as individual companies. It also considers how the PVGO percentage performs relative to the traditional value factor, price to book value. We find that the PVGO percentage can be a useful complement to other valuation approaches.
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举个例子,这里有一条简单实用的启发式规则,用来拆分市盈率倍数。稳态假设当前盈利水平持续不变。因此,我们可以把那部分价值视为永续年金,对盈利进行资本化。具体来说,市盈率倍数应等于 1 ÷ 权益资本成本。假设权益资本成本为 8.75%,那么归属于稳态价值的市盈率倍数就是 11.4(11.4 = 1 ÷ 0.0875)。³
For instance, here is a simple and useful heuristic for disaggregating a price-earnings (P/E) multiple. The steady-state assumes that the current level of earnings persists. As a result, we can value that part as a perpetuity, which capitalizes the earnings. Specifically, the P/E multiple should equal 1 ÷ the cost of equity capital. Assuming a cost of equity of 8.75 percent, the P/E multiple attributable to the steady-state value is 11.4 (11.4 = 1 ÷ 0.0875).3
高于稳态市盈率的溢价意味着,市场在为 PVGO(未来增长机会现值)赋予价值,当前盈利不可持续,或者两者兼而有之。⁴ 截至我们分析时点(2026 年 6 月 12 日),基于对 2026 年盈利的一致预期,标普 500 指数(由约 500 只美国市值最大股票构成的指数)的市盈率为 21.9 倍。
A premium to the steady-state multiple implies that the market is attributing value to PVGO, current earnings are unsustainable, or a combination of the two.4 The P/E multiple for the S&P 500, an index of approximately 500 U.S. stocks with the largest market capitalizations, was 21.9 based on consensus estimates for 2026 earnings at the time of our analysis (June 12, 2026).
现在我们来看标普 500 指数中 PVGO 百分比的历史数据,该指数的成分股约占美国股票市场总市值的 80%。
We now examine the history of the PVGO percentage for the S&P 500, whose constituents represent about 80 percent of U.S. equity market capitalization.
股票市场的 PVGO。图表 1 列出了 1961 年至 2025 年期间,标普 500 指数每年的 PVGO 百分比。我们采用标普 500 指数过去四个季度的经营利润,除以年末估算的股权资本成本,来估算稳态价值。股权风险溢价的估算值来自纽约大学斯特恩商学院的金融学教授阿斯沃斯·达莫达兰。
PVGO of Stock Market. Exhibit 1 shows the annual PVGO percentage for the S&P 500 from 1961 to 2025.5 We estimate the steady-state value by taking the operating earnings of the S&P 500 for the trailing four quarters and dividing them by an estimate of the cost of equity capital at year-end. The estimate for the equity risk premium comes from Aswath Damodaran, a professor of finance at the Stern School at New York University.
然后,我们从指数价格中减去稳态价格,以评估可归属于价值创造的部分。
We then subtract the steady-state price from the index price to assess the amount attributable to value creation.
平均而言,PVGO 占价格的 35%,稳态价值占 65%。曾有过价格几乎不包含或完全不包含未来价值创造的时期(1974 年和 2011 年),也有过价格反映大量未来价值创造的时期(1999 年和 2001 年)。2025 年底,这一指标远高于平均水平。
On average, the PVGO has been 35 percent of the price, and the steady-state value has been 65 percent. There have been periods when the price incorporated little or no future value creation (1974 and 2011) and other times when it reflected substantial future value creation (1999 and 2001). At the end of 2025, this measure was well above the average.
表 1:标普 500 指数的 PVGO 百分比,1961–2025 年
Exhibit 1: PVGO Percentage for the S&P 500, 1961-2025
原件此处是表格,PDF 抽取时列结构已丢失,下面只剩按列读出的数字,行列对应关系无法还原。核对数据请打开来源正文。
| 百分比 | 数值 | ||||||||||||||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 70 | 2 个标准差 | ||||||||||||||||||||||||||||||||
| 60 | |||||||||||||||||||||||||||||||||
| 50 | |||||||||||||||||||||||||||||||||
| 40 | |||||||||||||||||||||||||||||||||
| 均值 | |||||||||||||||||||||||||||||||||
| 百分比 | 30 | ||||||||||||||||||||||||||||||||
| 20 | 2 个标准差 | ||||||||||||||||||||||||||||||||
| 10 | |||||||||||||||||||||||||||||||||
| 0 | |||||||||||||||||||||||||||||||||
| -10 | |||||||||||||||||||||||||||||||||
| 年份 | 1961 | 1963 | 1965 | 1967 | 1969 | 1971 | 1973 | 1975 | 1977 | 1979 | 1981 | 1983 | 1985 | 1987 | 1989 | 1991 | 1993 | 1995 | 1997 | 1999 | 2001 | 2003 | 2005 | 2007 | 2009 | 2011 | 2013 | 2015 | 2017 | 2019 | 2021 | 2023 | 2025 |
70 2 standard deviations 60 50 40 Average Percent 30 20 2 standard deviations 10 0 -10 1961 1963 1965 1967 1969 1971 1973 1975 1977 1979 1981 1983 1985 1987 1989 1991 1993 1995 1997 1999 2001 2003 2005 2007 2009 2011 2013 2015 2017 2019 2021 2023 2025
来源:Counterpoint Global、标普道琼斯指数、阿斯瓦斯·达莫达兰、圣路易斯联邦储备银行的 FRED 数据库。
Source: Counterpoint Global, S&P Dow Jones Indices, Aswath Damodaran, FRED at the Federal Reserve Bank of St. Louis.
对 PVGO 百分比的分析自然引出一个问题:当该指标处于高位或低位时,市场随后表现如何。图 2 比较了 1961 年底至 2015 年期间,标普 500 指数的 PVGO 百分比与随后 10 年股东总回报(TSR)的年复合增长率(CAGR)。
Analysis of the PVGO percentage prompts the obvious question of how the market performs following high or low levels. Exhibit 2 compares the PVGO percentage to the compound annual growth rate (CAGR) in total shareholder returns (TSRs) in the subsequent 10-years for the S&P 500 from the end of 1961 to 2015.
PVGO 百分比越低,后续的股东总回报(TSR)越高,百分比越高,后续的 TSR 越低。6 但这种相关性只是中等程度。对于 1 年期和 5 年期的 TSR 来说,关系相同,但相关性更弱。
Lower PVGO percentages are associated with higher subsequent TSRs, and higher percentages are followed by lower TSRs.6 But the correlation is only moderate. The relationship is the same, but the correlations are weaker, for 1- and 5-year TSRs.
图表 2:标普 500 指数的 PVGO 占比与未来 10 年股东总回报率,1961-2025 年 20% r = -0.26
Exhibit 2: PVGO Percentage and Future 10-Year TSRs for the S&P 500, 1961-2025 20% r = -0.26
未来 10 年股东总回报(年化)
Future 10-Year TSR (Annualized)
原件此处是表格,PDF 抽取时列结构已丢失,下面只剩按列读出的数字,行列对应关系无法还原。核对数据请打开来源正文。
15% 10% 5% 0% -5% -10% 0% 10% 20% 30% 40% 50% 60% 70% PVGO Percentage
15% 10% 5% 0% -5% -10% 0% 10% 20% 30% 40% 50% 60% 70% PVGO Percentage
数据来源:Counterpoint Global、标普道琼斯指数、Aswath Damodaran、圣路易斯联邦储备银行 FRED 数据库。过往业绩不代表未来表现。
Source: Counterpoint Global, S&P Dow Jones Indices, Aswath Damodaran, FRED at the Federal Reserve Bank of St. Louis. Past performance is no guarantee of future results.
表 3 展示了按四分位数排列的 PVGO 百分比(1 为最低,4 为最高),以及随后的十年期股东总回报。股东总回报的年复合增长率在最低四分位为 11.6%,在最高四分位则为 7.6%。中间两个四分位数的股东总回报年复合增长率平均为 11.2%。PVGO 百分比在达到极端水平时能提供不错的信号,但总体上不是一个好的择时工具。
Exhibit 3 shows the PVGO percentage ranked by quartiles (1 is the lowest and 4 is the highest) and the 10-year TSRs that follow. The CAGR in TSR is 11.6 percent for the lowest quartile and 7.6 percent for the highest quartile. The average CAGR in TSR for the middle quartiles is 11.2 percent. PVGO percentage provides a decent signal when it reaches extreme levels but is a poor tool for timing in general.
附表 3:标普 500 指数各四分位组未来 10 年股东总回报与 PVGO 占比,1961 - 2025 年,14%
Exhibit 3: PVGO Percentage by Quartile and Future 10-Year TSRs for the S&P 500, 1961-2025 14%
未来十年股东总回报(年化)
Future 10-Year TSR (Annualized)
原件此处是表格,PDF 抽取时列结构已丢失,下面只剩按列读出的数字,行列对应关系无法还原。核对数据请打开来源正文。
12% 10% 8% 6% 4% 2% 0% 1 2 3 4
12% 10% 8% 6% 4% 2% 0% 1 2 3 4
PVGO 占比四分位数(从低到高)
PVGO Percentage Quartile (Low to High)
来源:Counterpoint Global、标普道琼斯指数、阿斯沃斯·达摩达兰、圣路易斯联邦储备银行 FRED 数据库。过往业绩不能保证未来结果。
Source: Counterpoint Global, S&P Dow Jones Indices, Aswath Damodaran, FRED at the Federal Reserve Bank of St. Louis. Past performance is no guarantee of future results.
公司的 PVGO。现在我们来分析公司层面的股票。对于这项分析工作,我们采用一种不同且更复杂的方法。为了估算每家公司的稳态价值,我们首先取过去 12 个月的税后净营业利润(NOPAT),然后用加权平均资本成本对其进行资本化。接着,我们减去净负债,得到股权的稳态价值。这让我们能够估算出 PVGO(增长机会现值)。
PVGO of Companies. We now turn to the analysis of the stocks of companies. 7 We use a different and more sophisticated method for this work. To estimate steady-state value for each company, we start with trailing 12- month net operating profit after taxes (NOPAT) and capitalize it by the weighted average cost of capital. 8 We then subtract net debt, leaving us with a steady-state value for the equity. That allows us to estimate PVGO.
例如,假设 NOPAT(税后经营利润)为 100 美元,资本成本为 8%,净债务为 250 美元,权益市值为 1,500 美元。在这个简单例子中,稳态下的股权价值为 1,000 美元(100 美元 ÷ 0.08 = 1,250 美元 − 250 美元 = 1,000 美元)。
For example, assume NOPAT is $100, the cost of capital is 8 percent, net debt is $250, and the market value of equity is $1,500. In this simple example, the steady-state equity value is $1,000 ($100 ÷ 0.08 = $1,250 − $250 = $1,000).
由于股权总价值等于稳态价值加上 PVGO,我们可以算出 PVGO 占比为 33%(PVGO = 1500 美元 – 1000 美元 = 500 美元,PVGO 占比 = 500 美元 ÷ 1500 美元 = 0.33)。
Because total equity value equals steady-state value plus PVGO, we can solve for a PVGO percentage of 33 percent (PVGO = $1,500 – $1,000 = $500, and PVGO percentage = $500 ÷ $1,500 = 0.33).
图 4 展示了 1990 年至 2024 年间,按 PVGO 百分比五分位排列的美国上市公司(市值以 2024 年美元计在 10 亿美元或以上)股票的五年年化股东总回报率。PVGO 百分比最低的五分位股票,五年中位数股东总回报率为 8.7%,而 PVGO 百分比最高的五分位则为 5.0%。但第二个五分位的中位数股东总回报率最高这一事实说明,这一衡量指标在极端值两端比在中间区间更有用。
Exhibit 4 shows the five-year annualized TSRs, by quintile of PVGO percentage, for the stocks of U.S. public companies with market capitalizations of $1 billion or more in 2024 USD from 1990 to 2024. The five-year median TSR was 8.7 percent for the quintile with the lowest PVGO percentage and 5.0 percent for the quintile with the highest PVGO percentage. But the fact that the second quintile had the highest median TSR underscores that this measure is more useful at the extremes than it is between them.
表 4:美国公司按五分位数划分的 PVGO 占比及 5 年期 TSR,1990-2024 年
Exhibit 4: PVGO Percentage by Quintile and 5-Year TSRs for U.S. Companies, 1990-2024
10%
10%
接下来 5 年年化股东总回报率中位数
Next 5-Year Annualized TSR, Median
原件此处是表格,PDF 抽取时列结构已丢失,下面只剩按列读出的数字,行列对应关系无法还原。核对数据请打开来源正文。
9% 8% 7% 6% 5% 4% 3% 2% 1% 0% 1 2 3 4 5
9% 8% 7% 6% 5% 4% 3% 2% 1% 0% 1 2 3 4 5
低到高 PVGO 百分比五分位
PVGO Percentage Quintile (Lowest to Highest)
来源:Counterpoint Global、Compustat 和 FactSet。
Source: Counterpoint Global, Compustat, and FactSet.
注:公司市值以 2024 年美元计,至少为 10 亿美元。
Note: Companies with market capitalizations of at least $1 billion in 2024 USD.
过往业绩并不保证未来结果。
Past performance is no guarantee of future results.
基于这一点,我们将股票分为两组。然后,我们滚动计算了每组在随后五年的年化股东总回报(TSR)。图表 5 显示了 1990 年至 2019 年每年低估值组与高估值组之间的未来回报率差异。这一回报率差值在大约 90% 的年份里为正,在整个时间跨度内平均为 2.6 个百分点。
Building on this point, we split stocks into two parts. We then calculated the annualized TSRs over the next five-years, on a rolling basis, for each group. Exhibit 5 shows the difference in future returns between the low and high groups for each year from 1990 to 2019. The return spread is positive in about 90 percent of the years and averages 2.6 percentage points over the full span.
表 5:1990-2024 年间 PVGO 百分比后一半与前一半公司的相对 TSR(20%)
Exhibit 5: Relative TSR of Bottom Versus Top Half of PVGO Percentage, 1990-2024 20%
接下来 5 年之年化回报率中位数,15%
Next 5-Year Annualized Returns, Median 15%
10%
10%
5%
5%
0%
0%
-5%
-5%
原件此处是表格,PDF 抽取时列结构已丢失,下面只剩按列读出的数字,行列对应关系无法还原。核对数据请打开来源正文。
1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019
1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019
来源:Counterpoint Global、Compustat、FactSet 与肯尼斯·R·弗伦奇。
Source: Counterpoint Global, Compustat, FactSet, and Kenneth R. French.
注意:所列公司的市值以 2024 年美元计算,至少达到 10 亿美元。
Note: Companies with market capitalizations of at least $1 billion in 2024 USD.
过往业绩不能保证未来结果。
Past performance is no guarantee of future results.
接下来,我们逐一考察各家公司在不同时期的 PVGO(增长机会现值)。这一计算通过使用股权成本,将市场对接下来四个季度的每股收益的一致预期资本化,来估算稳态价值。我们将股价与稳态价值之间的差额归因于 PVGO。
We next examine the PVGOs for individual companies over time. This calculation estimates steady-state value by capitalizing the consensus estimate for earnings over the next four quarters using the cost of equity. We can attribute the difference between the stock price and the steady-state value to the PVGO.
我们从每个板块中挑选了少数几家我们认为有研究价值的公司,测算了它们从 1990 年代中后期到 2025 年的 PVGO 百分比(见图表 6)。每个板块更全面的龙头企业列表见附录。以下是一些观察结论,其中任何一条都不应被视为投资建议:
We picked a handful of companies we found to be interesting examples and measured PVGO percentages from the mid- to late-1990s to 2025 (see exhibit 6). A fuller group of leading companies in each sector appears in the appendix. Here are some observations, none of which should be construed as investment advice:
• 英伟达。尽管按市值衡量,英伟达如今已是全球最大的公司,但其 PVGO(增长价值占比)百分比低于 2000 年代初的平均水平。该股票近年来表现极为出色,很大程度上是盈利和现金流快速增长的反映。因此,如今的 PVGO 百分比与 2016 年底的水平相当。
• NVIDIA. Despite now being the largest company in the world as measured by market capitalization, Nvidia’s PVGO percentage is lower than it was, on average, in the early 2000s. The stock has performed extremely well in recent years, in large part mirroring rapid growth in earnings and cash flow. As a result, the PVGO percentage is today similar to what it was at the end of 2016.
• 微软。互联网泡沫破灭后,微软的股价大约十年间基本持平,尽管公司销售额和利润仍在增长。结果,其 PVGO 占比从 1999 年的 85% 降至 2012 年的 -53%。此后,股价和 PVGO 占比强劲反弹。不过,PVGO 占比仍远低于峰值。
• Microsoft. Following the dot-com bust, Microsoft’s stock was roughly flat for a decade, even though the company continued to grow sales and profits. As a result, its PVGO percentage went from 85 percent in 1999 to negative 53 percent in 2012. From there, the stock and PVGO percentage rebounded strongly. Still, the PVGO percentage remains well below the peak.
• 亚马逊。在 1990 年代末(截至 2001 年),亚马逊的 PVGO 占比超过了 100%,这反映了公司当时处于亏损状态。但随着时间推移,即便公司的销售额、利润和股价都高速增长,PVGO 占比却持续走低。2025 年底的 PVGO 占比是公司自 1997 年上市以来的最低年末读数。
• Amazon. Amazon’s PVGO percentage was in excess of 100 percent in the late 1990s (through 2001), reflecting the fact that the company was losing money. But over time, the PVGO percentage has drifted lower even as the company’s sales, profits, and stock price grew at a rapid rate. The PVGO percentage at year-end 2025 was the lowest year-end reading since the company went public in 1997.
• 摩根大通。这家公司的走势与包括英伟达和微软在内的一些科技巨头如出一辙,但其 PVGO 占比的绝对水平却低得多。与其他金融公司类似,摩根大通的 PVGO 占比在 40% 左右见顶,而在 2008-2009 年全球金融危机之后则大幅转为负值。
• JPMorgan Chase. This company followed the same pattern as some of the technology giants, including Nvidia and Microsoft, but the absolute levels of its PVGO percentages were substantially lower. Similar to other financial companies, JPMorgan’s PVGO percentage peaked at around 40 percent and was substantially negative following the global financial crisis of 2008-2009.
附件 6:部分公司股票的 PVGO 占比
Exhibit 6: PVGO Percentages for the Stocks of Selected Companies
100% NVIDIA Corp
100% NVIDIA Corp
原件此处是表格,PDF 抽取时列结构已丢失,下面只剩按列读出的数字,行列对应关系无法还原。核对数据请打开来源正文。
Percentage 80% 60% PVGO 40% 20% 0% 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019
Percentage 80% 60% PVGO 40% 20% 0% 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019
100% Microsoft
100% Microsoft
原件此处是表格,PDF 抽取时列结构已丢失,下面只剩按列读出的数字,行列对应关系无法还原。核对数据请打开来源正文。
Percentage 80% 60% 40% 20% PVGO 0% -20% -40% -60% 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018
Percentage 80% 60% 40% 20% PVGO 0% -20% -40% -60% 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018
140% Amazon.com
140% Amazon.com
原件此处是表格,PDF 抽取时列结构已丢失,下面只剩按列读出的数字,行列对应关系无法还原。核对数据请打开来源正文。
Percentage 120% 100% 80% PVGO 60% 40% 20% 0% 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019
Percentage 120% 100% 80% PVGO 60% 40% 20% 0% 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019
60% JPMorgan Chase
60% JPMorgan Chase
原件此处是表格,PDF 抽取时列结构已丢失,下面只剩按列读出的数字,行列对应关系无法还原。核对数据请打开来源正文。
Percentage 40% 20% 0% PVGO -20% -40% -60% -80% 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018
Percentage 40% 20% 0% PVGO -20% -40% -60% -80% 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018
来源:Counterpoint Global、Compustat 和 FactSet。
Source: Counterpoint Global, Compustat, and FactSet.
原件此处是表格,PDF 抽取时列结构已丢失,下面只剩按列读出的数字,行列对应关系无法还原。核对数据请打开来源正文。
2020 2021 2022 2023 2024 2025 2019 2020 2021 2022 2023 2024 2025 2020 2021 2022 2023 2024 2025 2019 2020 2021 2022 2023 2024 2025
2020 2021 2022 2023 2024 2025 2019 2020 2021 2022 2023 2024 2025 2020 2021 2022 2023 2024 2025 2019 2020 2021 2022 2023 2024 2025
PVGO 与价值因子。PVGO 是一种衡量预期的指标,“价值因子”也是如此,后者由金融学教授尤金·法玛和肯尼斯·弗伦奇推广开来。⁹ 价值因子的计算方法是,根据市净率的倍数对股票进行排序,同时控制市值规模。该因子是市净率高的股票的平均回报减去市净率低的股票的平均回报。
PVGO and the Value Factor. PVGO is a measure of expectations. So is the “value factor,” which was popularized by Eugene Fama and Kenneth French, professors of finance. 9 The value factor is calculated by sorting stocks based on book-to-price multiples, controlling for the size of the market capitalization. The factor is the average returns of the stocks with high book-to-price minus the average returns of those with low book-to-price.
账面价格比(book-to-price)的倍数,是更传统的市净率(price-to-book)的倒数。因此,高账面价格比倍数往往意味着温和的预期,而低账面价格比则反映高预期。在金融文献中,这一因子被称为“高减低”(HML),或“价值”因子。法玛和弗伦奇的研究表明,从 1927 年到 2025 年,价值因子有助于解释股票回报率,其解释力超出了资本资产定价模型(CAPM)的预测。
The multiple of book-to-price is the inverse of the more conventional price-to-book. So, a high book-to-price multiple often implies modest expectations and low book-to-price reflects high expectations. This factor is called “high-minus-low” (HML), or “value,” in the finance literature. Fama and French show that the value factor helps explain stock returns beyond the predictions of the capital asset pricing model (CAPM) from 1927 to 2025.
价值因子自 2000 年代初以来表现就大不如前。一个可能的解释是,投资重心从有形资产转向无形资产,这使得账面价值作为一项财务指标的参考意义大打折扣。10 本文接下来将探讨 PVGO (未来增长价值)能否带来一些新的洞见。
The value factor has been less effective since the early 2000s. One potential explanation has been the shift from tangible to intangible investment, which has made book value a less relevant financial measure. 10 Here we explore whether PVGO can add any insight.
附件 7 对比了基于低 PVGO 百分比与高 PVGO 百分比的分类结果(附件 5)与价值因子的表现。该图表衡量 1990 年至 2024 年的五年年化回报率。PVGO 百分比似乎能提供更高且更稳定的回报。其平均五年回报率比价值因子高出 230 个基点。
Exhibit 7 compares the results of the sort based on low and high PVGO percentages (exhibit 5) to the value factor. The exhibit measures five-year annualized returns from 1990 through 2024. The PVGO percentage seems to provide higher, and more consistent, returns. The average five-year return is 230 basis points above those of the value factor.
表 7:按 PVGO 占比高低分组的最低减最高组的 TSR(1990–2024 年)与价值因子(Value Factor)对比
Exhibit 7: TSR of Bottom Minus Top Half of PVGO Percentage and the Value Factor, 1990-2024
20%
20%
未来 5 年年化回报率中位数
Next 5-Year Annualized Returns, Median
原件此处是表格,PDF 抽取时列结构已丢失,下面只剩按列读出的数字,行列对应关系无法还原。核对数据请打开来源正文。
| 15% | PVGO 低减高价值因子 | ||||||||||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 10% | |||||||||||||||||||||||||||||
| 5% | |||||||||||||||||||||||||||||
| 0% | |||||||||||||||||||||||||||||
| -5% | |||||||||||||||||||||||||||||
| -10% | |||||||||||||||||||||||||||||
| -15% | |||||||||||||||||||||||||||||
| -20% | |||||||||||||||||||||||||||||
| 1990 | 1991 | 1992 | 1993 | 1994 | 1995 | 1996 | 1997 | 1998 | 1999 | 2000 | 2001 | 2002 | 2003 | 2004 | 2005 | 2006 | 2007 | 2008 | 2009 | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 | 2018 | 2019 |
15% PVGO Low Minus High Value Factor 10% 5% 0% -5% -10% -15% -20% 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019
来源:Counterpoint Global、Compustat、FactSet 及 Kenneth R. French。
Source: Counterpoint Global, Compustat, FactSet, and Kenneth R. French.
注意:公司市值按 2024 年美元价值计算,至少为 10 亿美元。
Note: Companies with market capitalizations of at least $1 billion in 2024 USD.
过往业绩不代表未来表现。
Past performance is no guarantee of future results.
Summary
Summary
基本面投资的终极目标,是以低于合理价值估算的价格买入一项资产。股票价格通常反映了两部分:当前盈利的价值,以及未来进行能创造价值的投资的选择权。这让我们可以把股价拆分成两部分——稳态价值(假设当前盈利持续下去)和增长机会现值,也就是“一鸟在手”与“双鸟在林”。
The goal of fundamental investing is to buy an asset at a price that is lower than a reasonable estimate of value. Stock prices commonly reflect the value of current earnings and the option to make future investments that create value. This allows us to separate price into a steady-state value, which assumes current earnings persist, and the present value of growth opportunities (PVGO). It is a “bird in the hand” and “two in the bush.” 11
我们考察了 PVGO 占价格百分比——这一衡量投资者预期的指标——如何用作择时依据。具体来说,我们将 PVGO 百分比的水平与标普 500 指数后续 10 年的股东总回报(TSR)进行了对比。结果显示,该指标在择时上有一定参考价值,但主要是在 PVGO 百分比达到极端水平时才有用。
We looked at how PVGO as a percentage of price, a proxy for investor expectations, served as a measure of market timing. Specifically, we compared the level of PVGO percentage to subsequent 10-year total shareholder returns (TSRs) for the S&P 500. The results show some modest usefulness in timing, but mostly when the PVGO percentage reaches extreme levels.
随后,我们考察了单家公司的 PVGO 百分比,分析了该指标的水平与五年股东总回报率(TSR)之间的关系。该指标显示出显著的回报率差异:PVGO 预期较低的股票,年均跑赢 PVGO 预期较高的股票 260 个基点。
We then considered the PVGO percentage for individual companies. Our analysis looked at PVGO percentage levels and five-year TSRs. The measure shows a meaningful TSR spread, with the stocks with low PVGO expectations outperforming those with high PVGO expectations by 260 basis points per year.
接下来,我们考察了少数几家公司不同时期的 PVGO 百分比(附录按市值列出了每个行业最大公司的样本)。每个案例都为解读过去业绩和未来前景提供了叙事基础。
Next we examined the PVGO percentages over time for a handful of companies (the appendix includes a sample of the largest companies, by market capitalization, for each sector). Each case provides the basis for a narrative about past results and future prospects.
PVGO 百分比是对传统估值方法的补充。我们也想看看,相较于另一种预期衡量指标——价值因子,它是否能提供额外的洞见。我们的简单分析表明,过去 25 年来,PVGO 百分比可能提供了比价值因子更高、也更稳定的回报。
The PVGO percentage is a complement to traditional valuation approaches. We also wanted to see whether it added any insight relative to another measure of expectations, the value factor. Our simple analysis suggests that the PVGO percentage may have provided a higher, and more consistent, return than the value factor over the past 25 years.
附录:各行业美国头部公司的 PVGO 占比
Appendix: PVGO Percentages for the Top U.S. Companies in Each Sector
140% 通信服务 谷歌母公司 Alphabet Meta Platforms 120% 奈飞
140% Communication Services Alphabet Meta Platforms 120% Netflix
原件此处是表格,PDF 抽取时列结构已丢失,下面只剩按列读出的数字,行列对应关系无法还原。核对数据请打开来源正文。
| 百分比 | 100% | 80% | PVGO | 60% | 40% | 20% | 0% | 2002 | 2003 | 2004 | 2005 | 2006 | 2007 | 2008 | 2009 | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 | 2018 | 2019 | 2020 | 150% | 亚马逊 | 非必需消费品 | 特斯拉 | 家得宝 | 125% | 百分比 | 100% | 75% | PVGO | 50% | 25% | 0% | 1995 | 1996 | 1997 | 1998 | 1999 | 2000 | 2001 | 2002 | 2003 | 2004 | 2005 | 2006 | 2007 | 2008 | 2009 | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 | 2018 | 2019 | 100% | 必需消费品 | 沃尔玛 |
Percentage 100% 80% PVGO 60% 40% 20% 0% 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 150% Amazon Consumer Discretionary Tesla Home Depot 125% Percentage 100% 75% PVGO 50% 25% 0% 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 100% Consumer Staples Walmart
80% 开市客 60% 可口可乐
80% Costco 60% Coca-Cola
原件此处是表格,PDF 抽取时列结构已丢失,下面只剩按列读出的数字,行列对应关系无法还原。核对数据请打开来源正文。
| 百分比 | 40% | 20% | 0% | PVGO | -20% | -40% | -60% | -80% | -100% | 1993 | 1994 | 1995 | 1996 | 1997 | 1998 | 1999 | 2000 | 2001 | 2002 | 2003 | 2004 | 2005 | 2006 | 2007 | 2008 | 2009 | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 | 2018 | 2019 | 2021 | 2022 | 2023 | 2024 | 2025 | 2020 | 2021 | 2022 | 2023 | 2024 | 2025 | 2020 | 2021 | 2022 | 2023 | 2024 | 2025 |
Percentage 40% 20% 0% PVGO -20% -40% -60% -80% -100% 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2021 2022 2023 2024 2025 2020 2021 2022 2023 2024 2025 2020 2021 2022 2023 2024 2025
原件此处是表格,PDF 抽取时列结构已丢失,下面只剩按列读出的数字,行列对应关系无法还原。核对数据请打开来源正文。
| 增长机会现值占比 | 增长机会现值占比 | 增长机会现值占比 | ||||||||||||||||||||
| -150% | -100% | -50% | 0% | 50% | 100% | -80% | -60% | -40% | -20% | 0% | 20% | 40% | 60% | 80% | -160% | -120% | -80% | -40% | 0% | 40% | 80% | 120% |
| 1992 | 1995 | 1993 | ||||||||||||||||||||
| 1993 | 1996 | 1994 | ||||||||||||||||||||
| 1994 | 1997 | 1995 | ||||||||||||||||||||
| 1995 | 1998 | 1996 | ||||||||||||||||||||
| 1996 | 1997 |
PVGO Percentage PVGO Percentage PVGO Percentage -150% -100% -50% 0% 50% 100% -80% -60% -40% -20% 0% 20% 40% 60% 80% -160% -120% -80% -40% 0% 40% 80% 120% 1992 1995 1993 1993 1996 1994 1994 1997 1995 1995 1998 1996 1996 1997
1999 Berkshire Hathaway 1997 1998 2000
1999 Berkshire Hathaway 1997 1998 2000
1998 1999 2001 年 埃克森美孚 1999 年 摩根大通 2000 年 2000 年 2002 年 2001 年 雪佛龙
1998 1999 2001 Exxon Mobil 1999 JPMorgan Chase 2000 2000 2002 2001 Chevron
| 2001 | 2003 | 2001 | 2004 |
|---|---|---|---|
| 2002 | 2004 | 2002 | 2005 |
| 2003 | 2005 | 2003 | 2006 |
| 2004 | 2006 | 2004 | 2007 |
| 2005 | 2007 | 2005 |
| 2001 | 2003 | 2001 | 2004 |
|---|---|---|---|
| 2002 | 2004 | 2002 | 2005 |
| 2003 | 2005 | 2003 | 2006 |
| 2004 | 2006 | 2004 | 2007 |
| 2005 | 2007 | 2005 |
2006 Eli Lilly
2006 Eli Lilly
2008 2007 2007 2009 2008 Energy 2008
2008 2007 2007 2009 2008 Energy 2008
Healthcare Financials
Healthcare Financials
原件此处是表格,PDF 抽取时列结构已丢失,下面只剩按列读出的数字,行列对应关系无法还原。核对数据请打开来源正文。
| 强生公司 | 2010 | 2009 |
| 2009 | ||
| 2011 | 2010 | 2010 |
| 2010 | ||
| 艾伯维公司 | 2012 | 2011 |
| 2011 | ||
| 2013 | 2012 | 2012 |
| 2012 | ||
| 2014 | 2013 | 2013 |
| 2013 | ||
| 2015 | 2014 | 2014 |
| 2014 | ||
| 2015 | 2015 | 2015 |
| 2016 | ||
| 2016 | 2016 | 2016 |
| 2017 | ||
| 2017 | 2017 | 2017 |
| 2018 | ||
| 2018 | 2018 | 2018 |
| 2019 | ||
| 2019 | 2019 | 2019 |
| 2020 | ||
| 2020 | 2020 | 2020 |
| 2021 | 2021 | 2021 |
| 2021 | ||
| 2022 | 2022 | 2022 |
| 2023 | 2023 | 2023 |
| 2024 | 2024 | 2024 |
| 2025 | 2025 | 2025 |
| 10 | ||
| 工业行业 |
Johnson & Johnson 2010 2009 2009 2011 2010 2010 AbbVie 2012 2011 2011 2013 2012 2012 2014 2013 2013 2015 2014 2014 2015 2015 2016 2016 2016 2017 2017 2017 2018 2018 2018 2019 2019 2019 2020 2020 2020 2021 2021 2021 2022 2022 2022 2023 2023 2023 2024 2024 2024 2025 2025 2025 10 Industrials
100% 卡特彼勒 GE 航天 80% RTX
100% Caterpillar GE Aerospace 80% RTX
原件此处是表格,PDF 抽取时列结构已丢失,下面只剩按列读出的数字,行列对应关系无法还原。核对数据请打开来源正文。
| 百分比 | 60% | |
|---|---|---|
| 40% | ||
| 20% | ||
| 0% | ||
| PVGO | -20% | |
| -40% | ||
| -60% | ||
| -80% | ||
| -100% | ||
| 年份 | 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 | |
| 125% | 英伟达 | 信息技术 |
| 苹果 微软 | ||
| 100% | ||
| 百分比 | 75% | |
| 50% | ||
| 25% | ||
| PVGO | 0% | |
| -25% | ||
| -50% | ||
| -75% | ||
| 年份 | 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 |
60% Percentage 40% 20% 0% PVGO -20% -40% -60% -80% -100% 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 125% NVIDIA Information Technology Apple Microsoft 100% Percentage 75% 50% 25% PVGO 0% -25% -50% -75% 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019
100% 材料 50% 百分比 0% -50% -100% 林德 增长价值(PVGO) 纽蒙特 -150% 自由港麦克莫兰
100% Materials 50% Percentage 0% -50% -100% Linde PVGO Newmont -150% Freeport-McMoRan
原件此处是表格,PDF 抽取时列结构已丢失,下面只剩按列读出的数字,行列对应关系无法还原。核对数据请打开来源正文。
-200% -250% 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 2023 2024 2025 2020 2021 2022 2023 2024 2025 2019 2020 2021 2022 2023 2024 2025
-200% -250% 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 2023 2024 2025 2020 2021 2022 2023 2024 2025 2019 2020 2021 2022 2023 2024 2025
Welltower 房地产信托 250% Prologis 安博 150%
Welltower Real Estate 250% Prologis Equinix 150%
原件此处是表格,PDF 抽取时列结构已丢失,下面只剩按列读出的数字,行列对应关系无法还原。核对数据请打开来源正文。
| PVGO 占比 | |||||||||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 50% | |||||||||||||||||||||||||||
| -50% | |||||||||||||||||||||||||||
| -150% | |||||||||||||||||||||||||||
| -250% | |||||||||||||||||||||||||||
| -350% | |||||||||||||||||||||||||||
| 1998 | 1999 | 2000 | 2001 | 2002 | 2003 | 2004 | 2005 | 2006 | 2007 | 2008 | 2009 | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 | 2018 | 2019 | 2020 | 2021 | 2022 | 2023 | 2024 | 2025 |
| 公用事业 |
PVGO Percentage 50% -50% -150% -250% -350% 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 2023 2024 2025 Utilities
100% 新纪元能源南方公司 50% 杜克能源公司 0%
100% NextEra Energy Southern 50% Duke Energy 0%
原件此处是表格,PDF 抽取时列结构已丢失,下面只剩按列读出的数字,行列对应关系无法还原。核对数据请打开来源正文。
| 增长机会现值占比 | ||||||||||||||||||||||||||||||
| -50% | ||||||||||||||||||||||||||||||
| -100% | ||||||||||||||||||||||||||||||
| -150% | ||||||||||||||||||||||||||||||
| -200% | ||||||||||||||||||||||||||||||
| -250% | ||||||||||||||||||||||||||||||
| -300% | ||||||||||||||||||||||||||||||
| 1995 | 1996 | 1997 | 1998 | 1999 | 2000 | 2001 | 2002 | 2003 | 2004 | 2005 | 2006 | 2007 | 2008 | 2009 | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 | 2018 | 2019 | 2020 | 2021 | 2022 | 2023 | 2024 | 2025 |
PVGO Percentage -50% -100% -150% -200% -250% -300% 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 2023 2024 2025
资料来源:Counterpoint Global 与 FactSet。
Source: Counterpoint Global and FactSet.
注:标普 500 指数各 GICS 行业板块中市值排名前三的公司,截至 2026 年 5 月 14 日;每个板块从最早有记录的数据开始;为了获得更长历史序列,在工业板块中,我们以 RTX 公司(第四大)替代 GE Vernova(第三大),在公用事业板块中,我们以杜克能源公司(第四大)替代星座能源公司(第三大);部分情况下为了可视化效果,纵轴被截断。
Note: Top 3 companies in each GICS sector in the S&P 500 Index based on market capitalization, as of 5/14/26; Begins at earliest record within each sector; To see a longer historical series, in Industrials we substituted RTX Corporation (4th largest) for GE Vernova (3rd largest), and in Utilities we substituted Duke Energy (4th largest) for Constellation Energy (3rd largest); Y-axis is truncated in several cases for visualization purposes.
注释
1 Merton H. Miller 和 Franco Modigliani,“股息政策、增长与股票估值”,《期刊》
Endnotes 1 Merton H. Miller and Franco Modigliani, “Dividend Policy, Growth, and the Valuation of Shares,” The Journal
1961 年 10 月,《商业学刊》第 34 卷第 4 期,第 411–433 页。
of Business, Vol. 34, No. 4, October 1961, 411-433.
2 Stewart C. Myers,《公司借贷的决定因素》,《金融经济学杂志》,第 5 卷,第 2 期
2 Stewart C. Myers, “Determinants of Corporate Borrowing,” Journal of Financial Economics, Vol. 5, No. 2,
1977 年 11 月,第 147-175 页。另见 Richard A. Brealey、Stewart C. Myers、Franklin Allen 和 Alex Edmans,《公司金融原理》(纽约:麦格劳-希尔出版社,2025 年),第 4.18-4.24 节,以及 Richard E. Ottoo,《公司成长机会估值:实物期权方法》(纽约:加兰出版社,2000 年)。
November 1977, 147-175. Also, see Richard A. Brealey, Stewart C. Myers, Franklin Allen, and Alex Edmans, Principles of Corporate Finance (New York: McGraw Hill, 2025), 4.18-4.24 and Richard E. Ottoo, Valuation of Corporate Growth Opportunities: A Real Options Approach (New York: Garland Publishing, 2000).
3 这与纽约大学金融学教授阿斯瓦特·达摩达兰(Aswath Damodaran)在 2026 年 6 月 1 日左右的估值非常接近。
3 This is close to the June 1, 2026 estimate by Aswath Damodaran, a professor of finance at New York University.
请参阅 https://pages.stern.nyu.edu/~adamodar/。
See https://pages.stern.nyu.edu/~adamodar/.
4 这种方法将价格拆分为“盈利能力”和“经济特许权价值”。参见 Martin L. Leibowitz 的《经济特许权
4 This approach breaks price into “earnings power” and “franchise value.” See Martin L. Leibowitz, “Franchise
Q 型竞争下的估值”,《金融分析师期刊》,第 54 卷,第 6 期,1998 年 11/12 月,第 62-74 页;马丁·L·莱博维茨,《经济特许权价值:证券分析的现代方法》(新泽西州霍博肯:约翰·威利父子出版公司,2004 年);以及马丁·L·莱博维茨和斯坦利·科格尔曼,“经济特许权价值与市盈率”,
Valuation under Q-Type Competition,” Financial Analysts Journal, Vol. 54, No. 6, November/December 1998, 62-74; Martin L. Leibowitz, Franchise Value: A Modern Approach to Security Analysis (Hoboken, NJ: John Wiley & Sons, 2004); and Martin L. Leibowitz and Stanley Kogelman, “Franchise Value and the Price/Earnings Ratio,”
投资管理与研究协会研究基金会,1994 年。
The Research Foundation of the Association for Investment Management and Research, 1994.
5 这种方法基于股权自由现金流,其假设盈利是可分配利润的替代指标。
5 This method is based on free cash flow to equity, which assumes that earnings are a proxy for distributable
归股东的可分配现金。金融界更为常见的另一种做法则是企业自由现金流,即先计算可分配给债权人和股东的现金,借以估算企业的整体价值,再减去债务来确定股权价值。
cash for equity holders. Another approach, more common in finance, is free cash flow to enterprise, which takes the cash flow distributable to debt and equity holders to estimate a firm’s enterprise value and subtracts debt to determine equity value.
6 哈维尔·埃斯特拉达(Javier Estrada),IESE 商学院的金融学教授,采用了类似的方法,其数据来源于
6 Javier Estrada, a professor of finance at the IESE Business School, uses a similar approach and data from
1872 年到 2021 年。他得出的结果比我们的强得多,包括市场规模从 PVGO 占价格百分比最低到最高范围的收益率单调下降。我们无法复制他的结果。参见 Javier Estrada,“PVGO 与预期股票收益率”,《应用公司金融杂志》,第 34 卷第 4 期,2022 年秋季,第 109-112 页。
1872 to 2021. He comes up with much stronger results than we do, including a monotonic decline in returns for the market from the lowest to highest PVGOs as a percent of price. We could not replicate his results. See Javier Estrada, “PVGO and Expected Stock Returns,” Journal of Applied Corporate Finance, Vol. 34, No. 4, Fall 2022, 109-112.
关于个别公司增长价值(PVGO)的文献十分丰富。有一篇被广泛引用的研究……
7 There is a substantial amount of research on the value of PVGO for individual companies. One highly-cited
文献来源:W. 卡尔·凯斯特(W. Carl Kester),“今日选择,明日增长”,《哈佛商业评论》,第 62 卷,第 2 期,1984 年 3-4 月,第 153-160 页。其他学者检验了凯斯特的方法,发现其结果对输入变量高度敏感:参见乔·丹博尔特(Jo Danbolt)、伊恩·赫斯特(Ian Hirst)和爱德华·琼斯(Edward Jones),“衡量增长机会”,《应用金融经济学》,第 12 卷,第 3 期,2002 年 3 月,第 203-212 页。有研究探讨了高 PVGO 企业的特征,包括迈克尔·S·朗(Michael S. Long)、约翰·K·沃尔德(John K. Wald)和张静峰(Jingfeng Zhang),“企业增长选择权横截面分析”,工作论文,2002 年 11 月 5 日。另一条线索表明,投资者倾向于为 PVGO 支付过高价格。参见赫什·谢弗林(Hersh Shefrin),“自由现金流、估值与增长机会偏差”,《投资管理杂志》,第 12 卷,第 4 期,2014 年第四季度,第 4-26 页;以及宫辛华(Cynthia M. Gong)、李心丹(Xindan Li)、罗迪(Di Luo)和赵怀南(Huainan Zhao),“增长机会偏差”,《欧洲金融管理》,第 28 卷,第 4 期,2022 年 9 月,第 926-963 页。一篇优秀的综述论文参见约翰·D·马丁(John D. Martin)和马克·M·麦克纳布(Mark M. McNabb),“权益估值、增长机会与特许经营权价值——老调重弹”,工作论文,2022 年 9 月。
paper is W. Carl Kester, “Today's Options for Tomorrow's Growth,” Harvard Business Review, Vol. 62, No. 2, March-April 1984, 153-160. Others tested Kester’s approach and found that the results are very sensitive to the inputs: see Jo Danbolt, Ian Hirst, and Edward Jones, “Measuring Growth Opportunities,” Applied Financial Economics, Vol. 12, No. 3, March 2002, 203-212. There is work on the characteristics of firms with high PVGO, including Michael S. Long, John K. Wald, and Jingfeng Zhang, “A Cross-sectional Analysis of Firm Growth Options,” Working Paper, November 5, 2002. Another thread shows that investors have a bias for paying too much for PVGO. See Hersh Shefrin, “Free Cash Flows, Valuation and Growth Opportunities Bias,” Journal of Investment Management, Vol. 12, No. 4, Fourth Quarter 2014, 4-26 and Cynthia M. Gong, Xindan Li, Di Luo, and Huainan Zhao, “The Bias of Growth Opportunity,” European Financial Management, Vol. 28, No. 4, September 2022, 926-963. For a good summary paper, see John D. Martin and Mark M. McNabb, “Equity Valuation, Growth Opportunities, and Franchise Value—What Was Old Is New Again,” Working Paper, September 2022.
8 值得注意的一点是,我们对税后营业利润(NOPAT)的估算中包含了针对无形投资的调整项。
8 Notably, our estimate of NOPAT includes an adjustment for intangible investment.
9 尤金·F·法玛和肯尼斯·R·弗伦奇,“预期股票收益的横截面研究”,《金融学刊》,
9 Eugene F. Fama and Kenneth R. French, “The Cross-Section of Expected Stock Returns,” Journal of Finance,
第 47 卷,第 2 期,1992 年 6 月,第 427-465 页;以及尤金·F·法玛与肯尼思·R·弗伦奇,“股票与债券回报中的常见风险因子”,《金融经济学杂志》,第 33 卷,第 1 期,1993 年 2 月,第 3-56 页。10 巴鲁克·列夫与阿努普·斯里瓦斯塔瓦,“解释价值投资近期的失效”,《批判性金融评论》,
Vol. 47, No. 2, June 1992, 427-465 and Eugene F. Fama and Kenneth R. French, “Common Risk Factors in the Returns on Stocks and Bonds,” Journal of Financial Economics, Vol. 33, No. 1, February 1993, 3-56. 10 Baruch Lev and Anup Srivastava, “Explaining the Recent Failure of Value Investing,” Critical Finance Review,
第 11 卷,第 2 期,2022 年 5 月,第 333-360 页。
Vol. 11, No. 2, May 2022, 333-360.
11 沃伦·E·巴菲特,“致股东的信”,伯克希尔·哈撒韦,2000 年。
11 Warren E. Buffett, “Chairman’s Letter to the Shareholders,” Berkshire Hathaway, 2000.