无形资产与盈利
反方全球洞察
Counterpoint Global Insights
无形资产与盈余:提升财务报表的有用性
Intangibles and Earnings Improving the Usefulness of Financial Statements
CONSILIENT OBSERVER | 2022 年 4 月 12 日
CONSILIENT OBSERVER | April 12, 2022
Introduction
Introduction
会计作为商业语言,其目标是向迈克尔·莫布森(Michael J. Mauboussin)提供财务信息,让管理者及其他权益人能够就一家公司做出明智决策。2002 年《萨班斯-奥克斯利法案》(Sarbanes-Oxley Act,由丹·卡拉汉(Dan Callahan)、注册金融分析师(CFA)共同参与)要求美国上市公司的首席执行官和首席财务官证明,公司的财务报表真实准确、无重大遗漏,并公允反映公司的经营与财务状况。高管还必须证明,公司已建立必要的内部控制,以确保他们能获取重大信息。
The goal of accounting, the language of business, is to provide Michael J. Mauboussin financial information to allow managers and other claimholders to make informed decisions about a company. The Sarbanes-Oxley Dan Callahan, CFA Act of 2002 requires the chief executive officer and chief financial officer of a U.S. public company to certify that the firm’s financial statements are true and without material omissions, and to present fairly the operations and financial condition. The executives must also certify that the necessary internal controls are in place to make sure that that they receive material information.
近几十年来,从有形投资向无形投资的转变使解读财务报表的能力变得更为复杂。¹ 有形资产是实物形态的,比如工厂或卡车;无形资产则是非实物的,包括品牌建设或员工培训。
In recent decades, the ability to interpret financial statements has been complicated by the shift from tangible to intangible investments.1 Tangible assets are physical, such as factories or trucks. Intangible assets are non-physical and include brand-building or employee training.
这是一个问题,因为会计师主要在资产负债表上体现有形投资,而在利润表上体现无形投资。 2 有形资产在其使用寿命内计提折旧,这会作为费用反映在利润表上。而无形资产则记录在资产负债表上,并且仅在收购之后才进行摊销。但如今的投资并不像过去那样出现在同样的位置,这意味着财务报表不再提供同样的信息。
This is a problem because accountants primarily reflect tangible investments on the balance sheet and intangible investments on the income statement.2 Tangible assets are depreciated over their useful lives, which shows up as an expense on the income statement. And intangibles are recorded on the balance sheet and amortized only following an acquisition. But that today’s investments do not show up in the same spots as in the past means that financial statements do not provide the same information.
应对这一挑战的合理方案,是将损益表上的投资资本化,并按其使用年限进行摊销。这意味着把无形资产投资视同有形资产投资处理。但这引出了两个大问题:哪些损益表项目应被视为投资,这些资产的合理使用年限又是多少?
A sensible solution to this challenge is to capitalize the investments that appear on the income statement and amortize them over their useful lives. This means treating an intangible investment the same as a tangible investment. But this raises two big questions: which income statement items are appropriately considered investments and what is a proper useful life for those assets?
本报告借助近年学术研究来探讨这些问题。核心结论是:没有放之四海而皆准的方案。
This report takes up those questions by leveraging recent academic research. The main finding is that one size does not fit
总之,这些调整对某些公司的盈利能力进行了重新计算,而对另一些公司则影响甚微。3 总体而言,我们估计,若考虑这些变化,标普 500 指数的盈利将提高约 12%。
all. These adjustments recast profitability for some companies and are inconsequential for others.3 Overall, we estimate that earnings for the S&P 500 would be about 12 percent higher with consideration of these changes.
会计与估值方法
Accounting and Approaches to Valuation
思考估值方法的一个简单方式,是把一家公司的成果分成两堆:盈利和投资。损益表上的盈利是会计师所说的“流量”,衡量一段时间里的结果。资产负债表上的投资是“存量”,是某个时点上的快照。一些估值技术更依赖流量,包括市盈率和企业价值与息税折旧摊销前利润之比。另一些则基于存量,比如市净率。
A simple way to think about approaches to valuation is to separate a company’s results into two piles: earnings and investments. Earnings on the income statement are what accountants call a “flow,” which measures a result over time. Investment on the balance sheet is a “stock,” which is a snapshot at a period of time. Some valuation techniques rely more on flow, including multiples of price-to-earnings (P/E) and enterprise value-to-earnings before interest taxes depreciation and amortization (EV/EBITDA). Others are based on stock, such as the ratio of price-to-book value (P/B).
利润等于特定时期的收入减去费用。公司及投资者常对费用做手脚,比如剔除某些项目以求财报更清晰。但这个概念本身相当直截了当。⁴
Earnings equal revenues minus expenses for a particular period. Companies and investors commonly fiddle with expenses, for example excluding certain items in the hope of adding clarity. But the idea is reasonably straightforward.4
投资是当下发生的支出,预期会在未来产生收益。如果未来收益的现值高于成本,这项投资就值得去做。特定时期的有形投资会体现在现金流量表上,累计金额则作为资产出现在资产负债表中。公司在利润表上将折旧记为成本,目的是将资产的使用与其费用相匹配。每年的折旧金额反映了该资产的预计使用寿命。
Investments are outlays in the present that are expected to generate earnings in the future. An investment is worthwhile if the present value of the future earnings is higher than the cost. Tangible investments for a particular period show up on the statement of cash flows, and the cumulative amount shows up as assets on the balance sheet. Companies record depreciation as a cost on the income statement to match the use of the asset with its expense. The amount of annual depreciation reflects the asset’s estimated life.
无形资产投资在利润表上以销售、一般及行政费用(SG&A)的形式列为支出。无形资产投资也会记录在资产负债表上,但只有在它们被收购时才这样做。会计人员会在估计的使用寿命内摊销所收购的无形资产,这与他们折旧有形资产的方式相同。若无收购发生,则无形资产投资仅记为费用。
Intangible investments appear as an expense in the selling, general, and administrative (SG&A) section of the income statement. Intangible investments are also recorded on the balance sheet but only when they are acquired. Accountants amortize acquired intangible assets over their estimated useful lives in the same way that they depreciate tangible assets. Absent an acquisition, intangible investments are recorded solely as an expense.
这些会计惯例意味着,要搞清楚哪些该计入利润、哪些该归入投资,可能会很棘手且具有误导性。当投资者依赖简化的方法来估值时,这一点尤其值得注意。下面我们就来看看,这种分类方式会如何影响业界用来评估企业价值的那些指标。
These accounting conventions mean that figuring out what goes into the earnings and investment piles can be tricky and misleading. This is especially relevant when investors rely on shorthands to do their valuation work. We now look at how this sorting affects the metrics that practitioners use to value businesses.
现金流折现法。从理论上讲,一项金融资产的价值,就是其未来自由现金流的现值。由于自由现金流已经把盈利和投资都考虑在内,因此把项目从一堆挪到另一堆不会改变结果。举个例子:假设你研究了一家公司,计算得出其盈利为 250 美元,投资为 100 美元。那么自由现金流就是 150 美元(250 - 100)。
Discounted Cash Flow. In theory, the value of a financial asset is the present value of future free cash flows. Because free cash flow considers earnings and investments, moving items from one pile to the other does not affect the outcome. For example, assume you examined a company and calculated that its earnings were $250 and its investment was $100. Free cash flow would be $150 ($250 - $100).
在研究这家公司的过程中,你得出结论:其利润表中列示了 100 美元的投资。
In studying the company further, you conclude that $100 of investments were recorded on the income statement.
结果你把 100 美元从一堆挪到了另一堆。现在盈利是 350 美元,投资是 200 美元。自由现金流仍然是 150 美元(350 - 200),但达成这个数字的路径不一样了。
You move $100 from one pile to the other as a result. Earnings are now $350 and the investment is $200. Free cash flow remains $150 ($350 - $200), but the path to get there is different.
梳理收益与投资,如果得出的答案相同,这件事可能就显得没什么价值了。
Sorting the earnings and investment may not appear to be worthwhile if you come up with the same answer.
但实际上,理解投资的规模与回报,能为判断一家企业的资本密集程度和未来盈利提供至关重要的线索。
But, in fact, understanding the magnitude and return on investment provides vital clues about a business’s capital intensity and future earnings.
这一调整也可能影响使用终值来估算显性预测期之后现金流贡献的贴现现金流模型。终值的估算通常基于盈利。常见的方法包括对税后净营业利润进行资本化,或者应用 EBITDA 的倍数。经调整的盈利越高,终值就越大。5
This adjustment can also have an impact on a discounted cash flow model that uses a continuing value to estimate the contribution of the cash flows beyond an explicit forecast period. Estimates of continuing value are generally based on earnings. Common approaches include capitalizing net operating profit after taxes or applying a multiple of EBITDA. Continuing value increases to the degree to which the adjusted earnings are higher than the unadjusted earnings.5
盈利倍数。一项针对近 2000 名专业基本面投资者的调查显示,近 93% 的人使用倍数来评估企业价值。最常用的倍数包括市盈率(P/E)和企业价值/息税折旧摊销前利润(EV/EBITDA)。对于通过利润表进行大量投资的企业,盈利数据可能被扭曲。
Multiples of Earnings. A survey of nearly 2,000 professional fundamental investors revealed that nearly 93 percent use multiples to value businesses.6 The most popular multiples are P/E and EV/EBITDA. Earnings can be misrepresented for businesses that invest heavily via the income statement.
以亚马逊为例。7 该公司在 2021 年底的企业价值约为 1.725 万亿美元,EBITDA 为 592 亿美元(息税前利润 249 亿美元,折旧摊销 343 亿美元)。将 601 亿美元的费用重分类为投资后,净利润从 334 亿美元增至 615 亿美元,EBITDA 几乎翻倍,投资额也提升了近 90%。8 如果这些调整能更准确地反映公司的财务状况,那么市盈率和企业价值/EBITDA 倍数将远低于传统计算给出的数值。
Take Amazon as an example.7 The company’s enterprise value at the end of 2021 was approximately $1.725 trillion, and its EBITDA was $59.2 billion ($24.9 billion in EBIT and $34.3 billion in DA). Reclassifying $60.1 billion in expenses as investments increases net income from $33.4 billion to $61.5 billion, effectively doubles EBITDA, and lifts investments by almost 90 percent.8 Provided these adjustments present a more accurate portrait of the company’s financial situation, the P/E and EV/EBITDA multiples are substantially lower than the traditional calculations suggest.
稍后我们会看到,这项调整带来的结果差异很大。但有一点应该清楚:简单地将一家公司的市盈率与另一家进行比较,很容易得出错误结论。⁹
In a moment, we will show that the consequence of this adjustment varies widely. But it should be clear that a simplistic comparison of multiples from one company to the next is fraught with the danger of false conclusions.9
研究表明,如今盈利的相关性和信息含量已不如过去高。10 这意味着,试图充当合理估值过程之快捷方式的市盈率倍数,往往难以胜任判断价值与价值创造的任务。
Research shows that earnings are less relevant and informative today than they were in the past.10 That means that multiples, which seek to serve as a shorthand for the proper valuation process, are often not up to the task of discerning value and value creation.
投资倍数(以账面价值为参照)。过去六十年来,学术界一直在研究解释资产价格风险与回报的模型。资本资产定价模型(CAPM)是其中最著名的,它假设风险与预期回报之间存在线性关系。11 这里风险被定义为回报率的标准差。
Multiples of Investment (via Book Value). Over the last six decades, academics have worked on models to explain risk and returns for asset prices. The capital asset pricing model (CAPM) is the best known of these and posits a linear relationship between risk and expected return.11 Risk in this case is defined as the standard deviation of returns.
在资本资产定价模型(CAPM)确立后不久,人们就发现该模型解释收益的能力有限。20 世纪 90 年代初,金融学教授尤金·法玛(Eugene Fama)和肯尼斯·弗伦奇(Kenneth French)提出了一个更好的收益解释模型,该模型包含了 CAPM,但增加了规模溢价和价值溢价。12 规模溢价反映了这样一种观察结果:小盘股的实际收益高于 CAPM 的预测值。价值溢价则捕捉到这样一个事实:与 CAPM 的估算结果相比,廉价股的收益更高,而昂贵股的收益更低。13
Shortly after the CAPM was specified, it became clear that the model had a limited ability to explain returns. In the early 1990s, the finance professors Eugene Fama and Kenneth French developed a better model to explain returns that included the CAPM but added a size premium and a value premium.12 The size premium reflects the observation that small-capitalization stocks have delivered higher returns than what the CAPM predicts. The value premium captures the fact that the returns of cheap stocks have been higher, and the returns of expensive stocks have been lower, than the estimates generated by the CAPM.13
价值因子旨在捕获价值溢价。14 其经典做法是构建一个投资组合,做多最便宜的股票,同时做空最贵的股票。定义价值有多种方式,但法马和弗伦奇采用的是市净率(P/B ratio)。这一比率的优势在于,它比基于盈利的倍数更为稳定。15
The value factor seeks to harvest the value premium.14 The classic setup is to create a portfolio that is long the cheapest stocks and short the most expensive ones. There are various ways to define value, but Fama and French used the P/B ratio. One of the benefits of this ratio is that it is more stable than multiples of earnings.15
投资堆与账面价值之间存在直接联系。有形投资记录在资产负债表的资产一侧。例如,一台用于制造的新机器会出现在不动产、厂房和设备(PP&E)项下。资产减去负债等于股东权益。负债主要是债务。
There is a direct link between the investment pile and book value. Tangible investments are recorded on the asset side of the balance sheet. For instance, a new machine for manufacturing shows up as property, plant, and equipment (PP&E). Assets minus liabilities equal shareholders’ equity. Liabilities are predominately debt.
将股东权益除以流通股数量,你就得到了每股账面价值。
Divide shareholders’ equity by the shares outstanding and you get book value per share.
市净率反映的是股东买卖股票的价格与资产负债表中归属于股东的价值之比。这种估值方法的问题在于:如果投资资产被低估,账面价值就会低于其应有水平,进而影响市净率,扭曲这一指标的评估结果。
The ratio of price to book value reflects the level at which shareholders are willing to buy or sell their shares divided by the value on the balance sheet that is attributable to shareholders. The problem with this method of valuation is that book value will be lower than it should be if the investment pile is understated. In turn, that will affect ratios of price to book and distort the results of this metric.
如果从有形投资向无形投资的转变具有实质意义,那么我们就应该观察到价值因子发出的信号在减弱。这正是我们实际看到的情况。¹⁶ 同样重要的是,当无形资产被反映为投资时,价值因子的信号会有所增强。¹⁷ 这一结论在学术界和业界都得到了充分理解。换句话说,准确地将收益和投资进行归类,能够改善这种估值方法的效果。
If the shift from tangible to intangible investment is meaningful, we would expect a weakening of the signal from the value factor. This is what we have seen.16 As important, the signal from the value factor improves when intangibles are reflected as investments.17 This result is well understood by academics and practitioners. In other words, accurately sorting the earnings and investment piles improves this approach to valuation.
分析问题如今已经清晰了。从有形投资转向无形投资,让简化的估值方法变得不那么有用,因为盈利和投资的归类远不如理想中那么清晰。
The analytical issue should now be clear. The shift from tangible to intangible investment has left shorthand valuation methods less useful because the earnings and investment piles are not sorted as well as they could
我们目前遵循的会计惯例虽然出于谨慎可以理解,却未能提供管理者与投资者判断一家公司所需的信息。
be. The accounting conventions we now follow, which are understandably conservative, fail to provide the information that managers and investors need to make knowledgeable choices about a company.
如何区分收益与投资
How to Sort Earnings and Investments
解决如何更准确区分收益与投资这一问题的办法是:将属于销售及管理费用(SG&A)的投资记录在资产负债表中,然后在其有效使用年限内进行摊销。这样,公司费用化的无形投资就与资本化的有形投资得到了相同的处理方式。
The solution to the problem of how to sort the earnings and investment piles more accurately is to record investments that are part of SG&A on the balance sheet and then amortize them over their useful lives. This treats the intangible investments that a company expenses the same as the tangible investments that it capitalizes.
以下是一个让这个想法更具体的例子。公司 A 花 1000 美元买了一台机器,预计使用寿命为 5 年。预期现金流现值为 1500 美元。公司 B 花 1000 美元获取一位客户,预计该客户将留存 5 年。该客户预期现金流现值也是 1500 美元。
Here’s an illustration to make the idea more concrete. Company A buys a machine for $1,000 that has an estimated useful life of 5 years. The present value of expected cash flows is $1,500. Company B spends $1,000 to acquire a subscriber who is expected to remain a customer for 5 years. The present value of the customer’s expected cash flows is $1,500.
这些投资的经济本质相同,但会计核算方式不同。A 公司将该设备记为不动产、厂房及设备(PP&E),在 5 年内每年计提折旧 200 美元。B 公司将这笔 1,000 美元的客户获取成本立即计入销售、一般及行政费用(SG&A)中的费用。请注意,B 公司增长越快,其利润“损失”就越多,尽管获取客户在创造价值。我们希望找到一种方法,能以相同的方式对利润和投资进行分类。
The economic profile of these investments is identical but their accounting treatment is different. Company A records the machine as PP&E and depreciates $200 a year for 5 years. Company B immediately reflects the $1,000 customer acquisition as an expense in SG&A. Note that Company B will “lose” more in earnings the faster it grows, even though acquiring customers creates value. We want a solution that sorts the earnings and investment piles in the same way.
研究这一课题的学者们试图理解大量样本公司中,将利润表中的投资资本化的影响。因此,他们通常使用 100% 的研发(R&D)费用,以及 30% 的非研发 SG&A 费用来估算投资。他们还假设了一个标准的资产寿命。18 这是朝着正确方向迈出的一步,但是一种粗略的工具。商业分析师认识到,SG&A 中的投资成分因行业和公司而异,差异巨大。基于基本面前景买卖公司的投资者必须在其评估中反映这些差异。
Academics who study this topic seek to understand the impact of capitalizing investments from the income statement for a large sample of companies. As a result, they frequently use 100 percent of research and development (R&D), and 30 percent of non-R&D SG&A, to estimate investment. They also assume a standard asset life.18 This is a step in the right direction but is a blunt tool. Business analysts recognize that the investment component of SG&A varies widely by industry and company. Investors buying and selling companies based on their fundamental outlooks must reflect these differences in their assessments.
2018 年,会计学教授卢米尼塔·埃纳切(Luminita Enache)和阿努普·斯里瓦斯塔瓦(Anup Srivastava)发表了一篇论文,其标题直接提出了我们面临的问题:“无形资产投资应单独报告,还是与运营费用混同?”19 他们展示了无形资产投资随时间增长的重要性,并开发了一种估算无形资产投资规模的方法。他们的分析表明,这一会计问题的相关性因情况而异。
In 2018, Luminita Enache and Anup Srivastava, professors of accounting, published a paper that posed the question at hand in the title: “Should Intangible Investments Be Reported Separately or Commingled with Operating Expenses?”19 They show the significance of the rise of intangible investments over time and develop a method for estimating the magnitude of intangible investment. Their analysis reveals that the relevance of this accounting issue varies widely.
对其方法的一个直接描述是:他们找到了一种将 SG&A 费用分解为维护部分和投资部分的方法。维护性 SG&A 费用是公司维持当前运营所必需的。投资性 SG&A 费用用于追求创造价值的增长。实际上,他们提供了一种方法,使利润和投资分类比标准财务报表更准确。
A straightforward description of their approach is that they figured out a way to separate SG&A expenses into maintenance and investment parts. Maintenance SG&A expenses are necessary for the company to sustain its current operations. Investment SG&A expenses are in pursuit of growth that creates value. In effect, they provide a method to make the earnings and investment piles more accurate than standard financial statements do.
无形资产对利润和账面价值的影响
The Impact of Intangibles on Earnings and Book Value
我们现在讨论一个衡量这些调整对利润影响的框架。但在那之前,我们需要更详细地探讨这些调整的性质。这需要对 SG&A 费用中有多大比例是投资以及合适的资产寿命做出判断。
We now discuss a framework to measure the impact of these adjustments on earnings. But before we do that, we need to address the nature of the adjustments in more detail. This requires judgment about what percentage of SG&A expense is an investment and what are the appropriate asset lives.
会计学博士生阿尼尔·伊克巴尔(Aneel Iqbal)以及会计学教授希瓦拉姆·拉贾戈帕尔(Shivaram Rajgopal)、阿努普·斯里瓦斯塔瓦(Anup Srivastava)和赵荣(Rong Zhao)开发了一种指导这些假设的方法。20 他们使用回归方法,研究了 42 个行业,并明确了 SG&A 费用中的投资部分。他们将 SG&A 分为两部分:主要 SG&A(即 SG&A 费用减去研发费用)和研发费用。请注意,历史上大多数研究者都认为全部研发费用都是可自由支配的无形资产投资。21 与先前的研究一致,他们发现各行业之间存在巨大差异(见附录 A)。22 具体来说,他们回答了两个问题:
Aneel Iqbal, a doctoral candidate in accounting, and Shivaram Rajgopal, Anup Srivastava, and Rong Zhao, professors of accounting, developed a method to guide these assumptions.20 Using a regression methodology, they examined 42 industries and specified the investment portion of SG&A expenses. They separated SG&A into two parts: Main SG&A, which is the SG&A expense less R&D, and R&D expense. Note that most researchers have historically deemed all of R&D expense to be a discretionary intangible investment.21 Consistent with prior work, they find large variance across industries (see Appendix A).22 Specifically, they answer two questions:
• SG&A 费用中有多大比例是投资?他们的分析发现,在各行业中,主要 SG&A 中有 0% 到 80% 是投资,平均为 54%。
• What percentage of SG&A expense is an investment? Their analysis finds that between 0 and 80 percent of Main SG&A is an investment across the range of industries, with an average of 54 percent.
他们估计,研发费用中有 7% 到 98% 是投资,平均为 76%。
They estimate that a range of 7 to 98 percent of R&D expense is an investment, with a mean of 76 percent.
请注意,许多高管都难以回答其 SG&A 费用如何在维护性支出和投资性支出之间划分的问题。
Note that many executives struggle to answer the question of how their SG&A expense breaks down between maintenance and investment spending.
• 什么是合适的资产寿命?有形资产的平均寿命约为十年。由于我们像对待有形投资一样对 SG&A 进行资本化,我们必须了解资产寿命才能合理摊销。伊克巴尔等人判断,主要 SG&A 投资的寿命在 0.25 年到 5 年之间,平均为 3.3 年。研发投资的寿命在 0.5 年到 7 年之间,平均为 4.4 年。
• What is an appropriate asset life? Tangible assets have an average life of around ten years. Because we are capitalizing SG&A as we would a tangible investment, we must have a sense of asset lives to properly amortize them. Iqbal et al. judge the useful life of Main SG&A investments to be 0.25 to 5 years, with an average of 3.3 years. The useful lives for R&D investments range from 0.5 to 7 years, with a mean of 4.4 years.
最后,我们需要估算投资性 SG&A 的增长,以衡量调整的影响。增长会影响被移除的费用与新增摊销之间的时间差。考虑一种情况:1,000 美元 SG&A 中的 30% 被视为寿命为 3 年的无形资产投资,且该 SG&A 金额不增长。最终,公司每年将资本化 300 美元,从而将其从 SG&A 费用中移除,并每年摊销 300 美元(过去 3 年的投资,每年摊销 100 美元),再将其加回 SG&A 费用。因此,对 SG&A 和利润的净影响为零。
Finally, we need to estimate the growth in investment SG&A in order to measure the impact of the adjustments. Growth affects the difference in the timing between the removed expense and added amortization. Consider a case where 30 percent of $1,000 of SG&A is deemed to be an intangible investment with a 3-year life, and that amount of SG&A does not grow. Eventually, the company will be capitalizing $300, hence removing it from SG&A expense, and amortizing $300 (the last 3 years of investment with $100 of annual amortization expense for each), adding to SG&A expense. The net effect on SG&A and earnings is therefore zero.
如果假设 SG&A 费用每年增长 10%,其他条件不变,净效果是年度 SG&A 费用减少 5.1%,同时投资金额等量增加。增长拉开了当前费用化投资与过去投资摊销之间的差距。请注意,无论这种增长是由通货膨胀还是其他原因引起,结果都一样。
If you assume SG&A expense grows at 10 percent and all else remains the same, the net effect is a 5.1 percent reduction in annual SG&A expense and an increase in investment in the same amount. Growth opens the gap between the current investment expensed and the amortization of past investments. Note that it does not matter if the growth is the result of inflation.
被重新归类为投资的利润也会增加账面价值。该调整增加了资产,负债保持不变,为保持资产负债表平衡,股东权益必须向上调整。伊克巴尔等人估计,各行业账面价值的变化范围在 4% 到 95% 之间,平均增长 49%(见附录 B)。
Earnings that are reclassified as an investment also increase book value. The adjustment increases assets, liabilities remain the same, and shareholders’ equity has to be revised up to maintain the balance on the balance sheet. Iqbal et al. estimate that the change in book value by industry ranges from 4 to 95 percent, with an average increase of 49 percent (see Appendix B).
两个案例研究与标普 500 指数
Two Case Studies and the S&P 500
以下是两个案例研究,用以说明对 SG&A 部分进行资本化和摊销对利润的影响。我们选择了代表两个极端行业的实际公司。一家是制药产品行业,其 SG&A 中投资部分较高;另一家是商业用品行业,其 SG&A 中投资部分较低。然后,我们使用所有行业的加权平均值来观察标普 500 指数。
Here are two case studies to illustrate the impact that capitalizing and amortizing part of SG&A have on earnings. We selected actual companies that represent industries at the extremes. One is in the pharmaceutical products industry, where the investment portion of SG&A is high, and the other is in the business supplies industry, where the investment portion of SG&A is low. We then look at the S&P 500 using a weighted average of all industries.
我们首先来看制药产品行业。伊克巴尔等人发现,主要 SG&A 的 68% 和研发费用的 89% 是投资,主要 SG&A 的资产寿命为 4.2 年,研发费用为 4.5 年。根据该公司主要 SG&A 和研发费用的构成,我们估计 SG&A 的 75% 应资本化,使用年限为 4 年。我们假设增长率为 30%。
We start with pharmaceutical products. Iqbal et al. find that 68 percent of Main SG&A and 89 percent of R&D are investments and that asset lives are 4.2 years for Main SG&A and 4.5 years for R&D. Based on the company’s mix of Main SG&A and R&D, we estimate that 75 percent of SG&A should be capitalized with a useful life of 4 years. We assume the growth rate will be 30 percent.
图表 1 总结了这些调整如何影响利润率。营业利润率从 -0.9% 变为 14.6%,大幅波动了 1550 个基点。应用这些调整后,营业利润从微亏转为稳健盈利。
Exhibit 1 summarizes how these adjustments affect margins. The operating profit margin goes from -0.9 percent to 14.6 percent, a huge 1550 basis point swing. Applying these changes takes operating profit from a modest loss to a solid gain.
图表 1:资本化 SG&A 对一家制药公司利润率的影响
Exhibit 1: Impact of Capitalizing SG&A on the Margins of a Pharmaceutical Company
利润指标 未调整利润率 调整后利润率 EBITDA 9.1% 24.6% 营业利润 -0.9% 14.6% 净利润 -16.8% -1.3%
Earnings Measure Unadjusted Margin Adjusted Margin EBITDA 9.1% 24.6% Operating Profit -0.9% 14.6% Net Income -16.8% -1.3%
来源:Counterpoint Global 对 2021 财年的估计。
Source: Counterpoint Global estimates for fiscal year 2021.
接下来我们看商业用品行业。伊克巴尔等人发现,主要 SG&A 中仅 11% 和研发费用中 83% 是投资,主要 SG&A 和研发费用的资产寿命均为 4.9 年。根据该公司主要 SG&A 和研发费用的构成,我们估计 SG&A 的 15% 应资本化,使用年限为 5 年。
Next we turn to business supplies. Iqbal et al. find that only 11 percent of Main SG&A and 83 percent of R&D are investments and that asset lives are 4.9 years for both Main SG&A and R&D. Based on the company’s mix of Main SG&A and R&D, we estimate that 15 percent of SG&A should be capitalized with a useful life of 5 years.
与制药行业不同,研发费用在总 SG&A 中的占比不大。我们假设增长率为 5%。
R&D is a modest percentage of overall SG&A, unlike pharmaceuticals. We assume the growth rate will be 5 percent.
图表 2 显示,这些调整使营业利润率提高了约 50 个基点,从 3.4% 升至 4.0%(存在细微的四舍五入)。如果准确,这些修改对利润和投资的分类影响不大。
Exhibit 2 shows that these adjustments lift the operating profit margin by about 50 basis points, from 3.4 to 4.0 percent (there is a tiny amount of rounding). If accurate, these modifications have an immaterial impact on how earnings and investments are sorted.
图表 2:资本化 SG&A 对一家商业用品公司利润率的影响
Exhibit 2: Impact of Capitalizing SG&A on the Margins of a Business Supplies Company
利润指标 未调整利润率 调整后利润率 EBITDA 6.7% 7.2% 营业利润 3.4% 4.0% 净利润 1.0% 1.5%
Earnings Measure Unadjusted Margin Adjusted Margin EBITDA 6.7% 7.2% Operating Profit 3.4% 4.0% Net Income 1.0% 1.5%
来源:Counterpoint Global 对 2021 财年的估计。
Source: Counterpoint Global estimates for fiscal year 2021.
这些修改对标普 500 指数的影响介于这两个极端之间。我们假设 SG&A 的 60% 应资本化,使用年限为 4 年,增长率为 6%。
The effect of these modifications for the S&P 500 falls between these extremes. We assume that 60 percent of SG&A should be capitalized with a useful life of 4 years and that the growth rate will be 6 percent.
营业利润率增加了 145 个基点,从 15.2% 升至 16.7%(见图表 3)。净利润相应增长 11.8%,约为 1,700 亿美元。将标普 500 指数的市盈率应用于这一数额,得出 3.0 - 3.5 万亿美元,约为该指数市值的十分之一。
The operating profit margin increases 145 basis points, from 15.2 to 16.7 percent (see exhibit 3). There is a proportionate lift in net income of 11.8 percent, which comes out to about $170 billion. Applying the S&P 500’s P/E ratio to this sum yields $3.0-3.5 trillion, about one-tenth of the index’s market capitalization.
图表 3:资本化 SG&A 对标普 500 指数利润率的影响
Exhibit 3: Impact of Capitalizing SG&A on the Margins of the S&P 500
利润指标 未调整利润率 调整后利润率 EBITDA 21.0% 22.5% 营业利润 15.2% 16.7% 净利润 12.2% 13.7%
Earnings Measure Unadjusted Margin Adjusted Margin EBITDA 21.0% 22.5% Operating Profit 15.2% 16.7% Net Income 12.2% 13.7%
来源:Counterpoint Global 对 2021 日历年的估计。
Source: Counterpoint Global estimates for calendar year 2021.
Conclusion
Conclusion
全球经济持续从以有形资产为基础的模式转向以无形资产为基础的模式。
The global economy continues to shift from one built on tangible assets to one built on intangible assets.
作为呈现财务信息的手段,会计对有形的和无形的投资处理方式不同。这给常见的指标(如利润)带来了偏差。
Accounting, the means by which financial information is presented, treats tangible and intangible investments differently. This introduces bias into common metrics such as earnings.
投资者通常使用利润或账面价值的倍数作为衡量未来自由现金流现值的简化方法。因此,将利润与投资分类是很有用的。大多数无形资产投资出现在利润表中。对这些投资进行资本化,其处理方式类似于资本支出。
Investors often use a multiple of earnings or book value as a shorthand for measuring the present value of future free cash flows. As a result, sorting earnings from investments is useful. Most intangible investments appear on the income statement. Capitalizing those investments treats them in a fashion similar to capital expenditures.
结果是利润和投资等额增加。这使自由现金流保持不变,但提供了更准确的公司运营图景。
The result is that earnings and investments increase the same amount. This leaves free cash flow unchanged but provides a more accurate picture of a company’s operations.
学者和从业者都意识到了这一会计怪癖,并会进行调整以提高财务数据的实用性。但常见的做法是对所有公司资本化相同比例的 SG&A,这掩盖了行业内部以及行业内公司之间的重要差异。
Academics and practitioners are aware of this accounting quirk and make adjustments to improve the usefulness of financial data. But it is common to capitalize a similar percentage of SG&A for all companies, which obscures important differences between industries and the companies within them.
在本报告中,我们基于最新的学术研究,应用了一个框架来对利润和投资进行分类。我们表明,行业之间存在显著差异,这对于主要依赖倍数进行估值的投资者来说非常重要。对两家公司财务报表的调整显示,无形资产密集型公司的营业利润率大幅扩张,而有形资产密集型公司的变化则微不足道。
In this report, we apply a framework for categorizing earnings and investments based on recent academic research. We show that there is significant variance between industries, which is important for investors who rely predominately on multiples for valuation. Adjustments to the financial statements of a pair of companies showed a huge operating profit margin expansion for the one that is intangible intensive and an insignificant change for the one that is tangible intensive.
根据我们使用的假设,无形资产投资的资本化将使标普 500 指数的净利润比报告值高出约 12%。这些数据表明,在比较不同时期的利润或倍数时需要格外谨慎。
Given the assumptions we use, the capitalization of intangible investments would lead to net income for the S&P 500 that is about 12 percent higher than what is reported. These figures suggest great caution in comparing earnings or multiples over time.
附录 A:SG&A 的投资部分和资产寿命
Appendix A: Investment Portion of SG&A and Asset Lives
投资部分 使用年限
Investment Portions Useful Lives
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。
行业 主要 SG&A 研发费用 主要 SG&A 研发费用 贵金属 80% 85% 3.3 6.9 造船 79% 31% 4.1 1.7 医疗设备 78% 88% 2.7 6.1 煤炭 75% 20% 1.7 5.5 石油与天然气 73% 57% 3.6 4.2 食品 73% 61% 0.9 4.1 采矿 72% 96% 3.6 6.9 批发 69% 80% 3.6 4.0 制药 68% 89% 4.2 4.5 汽车与卡车 67% 82% 2.8 5.7 计算机 66% 80% 3.3 4.4 钢铁等 66% 82% 5.0 3.2 建筑 65% 64% 3.6 5.8 餐饮 63% 89% 4.8 5.3 电子设备 59% 77% 2.8 4.5 通信 59% 56% 2.9 5.2 机械 58% 81% 4.3 3.7 电气设备 56% 77% 2.0 6.7 商业服务 54% 62% 4.4 6.7 建筑材料 53% 72% 3.9 4.1 橡胶与塑料制品 52% 80% 1.4 5.6 预制金属制品 52% 73% 0.3 4.9 测量与控制设备 51% 72% 2.4 1.9 糖果与软饮料 49% 93% 4.2 2.6 服装 49% 64% 2.9 4.5 消费品 42% 91% 4.8 6.4 医疗保健 41% 85% 2.8 2.9 娱乐 38% 89% 4.5 6.0 零售 38% 91% 2.4 3.9 印刷与出版 38% 91% 4.0 3.0 纺织品 35% 45% 2.1 4.1 休闲 34% 70% 4.3 1.2 化工 32% 61% 3.0 2.8 农业 31% 88% 4.5 2.3 飞机制造 29% 80% 4.8 0.5 个人服务 23% 31% 2.4 4.6 烟草 18% 86% 4.3 5.0 国防 12% 7% 4.1 0.8 商业用品 11% 83% 4.9 4.9 运输容器 9% 88% 0.6 1.3 啤酒与烈酒 9% 98% 1.5 5.3 运输 0% 96% 2.6 3.5 加权平均 54% 76% 3.3 4.4
Industry MainSG&A R&D MainSG&A R&D Precious Metals 80% 85% 3.3 6.9 Shipbuilding 79% 31% 4.1 1.7 Medical Equipment 78% 88% 2.7 6.1 Coal 75% 20% 1.7 5.5 Petroleum and Natural Gas 73% 57% 3.6 4.2 Food Products 73% 61% 0.9 4.1 Mining 72% 96% 3.6 6.9 Wholesale 69% 80% 3.6 4.0 Pharmaceutical Products 68% 89% 4.2 4.5 Automobiles and Trucks 67% 82% 2.8 5.7 Computers 66% 80% 3.3 4.4 Steel Works Etc. 66% 82% 5.0 3.2 Construction 65% 64% 3.6 5.8 Meals 63% 89% 4.8 5.3 Electronic Equipment 59% 77% 2.8 4.5 Communication 59% 56% 2.9 5.2 Machinery 58% 81% 4.3 3.7 Electrical Equipment 56% 77% 2.0 6.7 Business Services 54% 62% 4.4 6.7 Construction Materials 53% 72% 3.9 4.1 Rubber and Plastic Products 52% 80% 1.4 5.6 Fabricated Products 52% 73% 0.3 4.9 Measuring and Control Equipment 51% 72% 2.4 1.9 Candy & Soda 49% 93% 4.2 2.6 Apparel 49% 64% 2.9 4.5 Consumer Goods 42% 91% 4.8 6.4 Healthcare 41% 85% 2.8 2.9 Entertainment 38% 89% 4.5 6.0 Retail 38% 91% 2.4 3.9 Printing and Publishing 38% 91% 4.0 3.0 Textiles 35% 45% 2.1 4.1 Recreation 34% 70% 4.3 1.2 Chemicals 32% 61% 3.0 2.8 Agriculture 31% 88% 4.5 2.3 Aircraft 29% 80% 4.8 0.5 Personal Services 23% 31% 2.4 4.6 Tobacco Products 18% 86% 4.3 5.0 Defense 12% 7% 4.1 0.8 Business Supplies 11% 83% 4.9 4.9 Shipping Containers 9% 88% 0.6 1.3 Beer & Liquor 9% 98% 1.5 5.3 Transportation 0% 96% 2.6 3.5 Weighted Average 54% 76% 3.3 4.4
来源:Aneel Iqbal,Shivaram Rajgopal,Anup Srivastava,和 Rong Zhao,“Value of Internally Generated Intangible Capital”,工作论文,2022 年 2 月。
Source: Aneel Iqbal, Shivaram Rajgopal, Anup Srivastava, and Rong Zhao, “Value of Internally Generated Intangible Capital,” Working Paper, February 2022.
附录 B:已报告和调整后的账面价值
Appendix B: As-Reported and Modified Book Values
| 行业 | 账面价值(按报告口径) | 账面价值(修正后) | 差异 |
|---|---|---|---|
| 批发 | 8.55 | 16.67 | 95.0% |
| 糖果及汽水 | 7.45 | 14.53 | 95.0% |
| 医疗设备 | 4.67 | 8.73 | 87.1% |
| 药品 | 3.87 | 7.16 | 85.2% |
| 计算机 | 5.01 | 9.27 | 85.2% |
| 消费品 | 9.02 | 15.91 | 76.5% |
| 服装 | 9.26 | 15.80 | 70.7% |
| 商业服务 | 4.96 | 8.25 | 66.3% |
| 机械 | 9.97 | 16.40 | 64.5% |
| 零售 | 9.75 | 15.59 | 60.0% |
| 印刷与出版 | 10.02 | 15.89 | 58.7% |
| 汽车与卡车 | 11.38 | 17.69 | 55.5% |
| 测量与控制设备 | 6.30 | 9.45 | 50.0% |
| 电子设备 | 6.16 | 9.05 | 47.0% |
| 烟草产品 | 10.64 | 15.59 | 46.6% |
| 建筑材料 | 11.92 | 17.30 | 45.2% |
| 休闲娱乐 | 6.38 | 9.06 | 41.9% |
| 建筑业 | 10.46 | 14.77 | 41.2% |
| 电气设备 | 8.18 | 11.47 | 40.3% |
| 餐饮 | 8.86 | 12.41 | 40.2% |
| 造船 | 11.31 | 15.82 | 39.9% |
| 钢铁等 | 14.74 | 20.02 | 35.9% |
| 通信 | 8.09 | 10.81 | 33.7% |
| 化工 | 12.42 | 16.23 | 30.7% |
| 橡胶与塑料制品 | 8.37 | 10.92 | 30.4% |
| 娱乐 | 5.53 | 7.13 | 29.0% |
| 煤炭 | 12.60 | 16.16 | 28.3% |
| 飞机 | 16.16 | 20.63 | 27.6% |
| 食品 | 12.12 | 15.18 | 25.2% |
| 个人服务 | 7.76 | 9.69 | 24.9% |
| 医疗保健 | 6.41 | 7.78 | 21.4% |
| 石油与天然气 | 9.05 | 10.97 | 21.3% |
| 农业 | 8.77 | 10.31 | 17.6% |
| 纺织品 | 11.89 | 13.96 | 17.4% |
| 办公用品 | 14.35 | 16.59 | 15.6% |
| 采矿 | 9.70 | 11.09 | 14.3% |
| 金属制品 | 9.88 | 11.10 | 12.3% |
| 国防 | 9.72 | 10.62 | 9.3% |
| 啤酒与烈酒 | 13.57 | 14.74 | 8.6% |
| 贵金属 | 5.80 | 6.20 | 6.9% |
| 航运集装箱 | 12.77 | 13.49 | 5.6% |
| 交通运输 | 14.36 | 14.90 | 3.7% |
| 加权平均 | 8.01 | 11.90 | 48.6% |
Book Value Industry As-Reported Modified Difference Wholesale 8.55 16.67 95.0% Candy & Soda 7.45 14.53 95.0% Medical Equipment 4.67 8.73 87.1% Pharmaceutical Products 3.87 7.16 85.2% Computers 5.01 9.27 85.2% Consumer Goods 9.02 15.91 76.5% Apparel 9.26 15.80 70.7% Business Services 4.96 8.25 66.3% Machinery 9.97 16.40 64.5% Retail 9.75 15.59 60.0% Printing and Publishing 10.02 15.89 58.7% Automobiles and Trucks 11.38 17.69 55.5% Measuring and Control Equipment 6.30 9.45 50.0% Electronic Equipment 6.16 9.05 47.0% Tobacco Products 10.64 15.59 46.6% Construction Materials 11.92 17.30 45.2% Recreation 6.38 9.06 41.9% Construction 10.46 14.77 41.2% Electrical Equipment 8.18 11.47 40.3% Meals 8.86 12.41 40.2% Shipbuilding 11.31 15.82 39.9% Steel Works Etc. 14.74 20.02 35.9% Communication 8.09 10.81 33.7% Chemicals 12.42 16.23 30.7% Rubber and Plastic Products 8.37 10.92 30.4% Entertainment 5.53 7.13 29.0% Coal 12.60 16.16 28.3% Aircraft 16.16 20.63 27.6% Food Products 12.12 15.18 25.2% Personal Services 7.76 9.69 24.9% Healthcare 6.41 7.78 21.4% Petroleum and Natural Gas 9.05 10.97 21.3% Agriculture 8.77 10.31 17.6% Textiles 11.89 13.96 17.4% Business Supplies 14.35 16.59 15.6% Mining 9.70 11.09 14.3% Fabricated Products 9.88 11.10 12.3% Defense 9.72 10.62 9.3% Beer & Liquor 13.57 14.74 8.6% Precious Metals 5.80 6.20 6.9% Shipping Containers 12.77 13.49 5.6% Transportation 14.36 14.90 3.7% Weighted Average 8.01 11.90 48.6%
资料来源:阿尼尔·伊克巴尔、希瓦拉姆·拉贾戈帕尔、阿努普·斯里瓦斯塔瓦和荣昭,《内部生成无形资本的价值》,工作论文,2022 年 2 月。
Source: Aneel Iqbal, Shivaram Rajgopal, Anup Srivastava, and Rong Zhao, “Value of Internally Generated Intangible Capital,” Working Paper, February 2022.
尾注
1 Carol A. Corrado 和 Charles R. Hulten,《创新会计》,载于 Dale W. Jorgenson、J. Steven Landefeld 所编著作
Endnotes 1 Carol A. Corrado and Charles R. Hulten, “Innovation Accounting,” in Dale W. Jorgenson, J. Steven Landefeld,
Paul Schreyer 合编,《Measuring Economic Sustainability and Progress》(芝加哥:芝加哥大学出版社,2014 年),第 614 页。有关无形资产兴起的更多内容,见 Carol A. Corrado、Charles Hulten 和 Daniel Sichel 合著,“Measuring Capital and Technology: An Expanded Framework”,收录于 Carol A. Corrado、John Haltiwanger 和 Daniel Sichel 合编,《Measuring Capital in the New Economy》(芝加哥:芝加哥大学出版社,2005 年);Carol A. Corrado、Charles Hulten 和 Daniel Sichel 合著,“Intangible Capital and U.S. Economic Growth”,《Review of Income and Wealth》,第 55 卷,第 3 期,2009 年 9 月,第 661-685 页;Jonathan Haskel 与 Stian Westlake 合著,《Capitalism Without Capital: The Rise of the Intangible Economy》(普林斯顿,新泽西州:普林斯顿大学出版社,2017 年);以及 Carol Corrado 在 www.wilsoncenter.org/sites/default/files/media/documents/event/Corrado%20Presentation.pdf 上的演示文稿。
and Paul Schreyer, eds., Measuring Economic Sustainability and Progress (Chicago: University of Chicago Press, 2014), 614. For more on the rise of intangibles, see Carol A. Corrado, Charles Hulten, and Daniel Sichel, “Measuring Capital and Technology: An Expanded Framework,” in Carol A. Corrado, John Haltiwanger, and Daniel Sichel, eds. Measuring Capital in the New Economy (Chicago: University of Chicago Press, 2005); Carol A. Corrado, Charles Hulten, and Daniel Sichel, “Intangible Capital and U.S. Economic Growth,” Review of Income and Wealth, Vol. 55, No. 3, September 2009, 661-685; Jonathan Haskel and Stian Westlake, Capitalism Without Capital: The Rise of the Intangible Economy (Princeton, NJ: Princeton University Press, 2017); and presentation by Carol Corrado available at www.wilsoncenter.org/sites/default/files/media/documents/event/ Corrado%20Presentation.pdf.
2 关于无形资产会计处理的详细讨论,参见 Thomas A. King,《超越数字游戏:
2 For a detailed discussion of accounting for intangibles, see Thomas A. King, More Than a Numbers Game: A
《会计简史》(新泽西州霍博肯:约翰·威利父子出版公司,2006 年),第 131-143 页。
Brief History of Accounting (Hoboken, NJ: John Wiley & Sons, 2006), 131-143.
冯谷与巴鲁克·列夫所著《如何区分公认会计原则意义上的亏损者与真正的亏损者》,收录于列夫著作《会计的终结》。
3 Feng Gu and Baruch Lev, “How to Distinguish Between GAAP Losers and Real Losers,” Lev End of Accounting
博客,2020 年 2 月 6 日,以及 Masako Darrough 与 Jianming Ye,“知识经济中亏损企业的估值”,《会计研究评论》,第 12 卷,第 1 期,2007 年 3 月,第 61–93 页。
Blog, February 6, 2020 and Masako Darrough and Jianming Ye, “Valuation of Loss Firms in a Knowledge-Based Economy,” Review of Accounting Studies, Vol. 12, No. 1, March 2007, 61-93.
根据 Asher Curtis、Valerie Li 与 Paige H. Patrick 的研究《业绩评估中对调整后利润的运用》,
4 Asher Curtis, Valerie Li, and Paige H. Patrick, “The Use of Adjusted Earnings in Performance Evaluation,”
《会计研究评论》,第 26 卷,第 4 期,2021 年 12 月,第 1290-1322 页。
Review of Accounting Studies, Vol. 26, No. 4, December 2021, 1290-1322.
5 多伦·尼西姆(Doron Nissim),《终值》,哥伦比亚商学院研究论文第 18-12 号,2019 年 4 月。更进一步的讨论,见
5 Doron Nissim, “Terminal Value,” Columbia Business School Research Paper No. 18-12, April 2019. For a more
关于持续价值的详细讨论,参见迈克尔·J·莫布森和阿尔弗雷德·拉帕波特的《预期投资:通过解读股价获取更高回报(修订更新版)》(纽约:哥伦比亚商学院出版社,2021 年),第 38‑43 页。
detailed discussion of continuing value, see Michael J. Mauboussin and Alfred Rappaport, Expectations Investing: Reading Stock Prices for Better Returns—Revised and Updated (New York: Columbia Business School Publishing, 2021), 38-43.
弗兰克·J·法博齐、塞尔吉奥·M·福卡迪和卡罗琳·乔纳斯,《股权估值:科学、艺术还是手艺?》,CFA
6 Frank J. Fabozzi, Sergio M. Focardi, and Caroline Jonas, “Equity Valuation: Science, Art, or Craft?” CFA
Institute Research Foundation,2017 年。
Institute Research Foundation, 2017.
以下是这段落的译文:
这是对以下数字的更新:迈克尔·J·莫布森和丹·卡拉汉的《分类以求清晰:现金》
7 This is an update to the figures here: Michael J. Mauboussin and Dan Callahan, “Categorizing for Clarity: Cash
“现金流量表调整以提升洞察力”,《协同观察者:对位全球洞察》,2021 年 10 月 6 日。
Flow Statement Adjustments to Improve Insight,” Consilient Observer: Counterpoint Global Insights, October 6, 2021.
8 净利润的计算方式如下:334 亿美元(报告数据)+ 601 亿美元资本化支出 - 321
8 The net income calculation is as follows: $33.4 billion (reported) + $60.1 billion in capitalized expenses - $32.1
610 亿美元的摊销 = 613 亿美元。
billion in amortization = $61.3 billion.
9 Gus De Franco、Ole-Kristian Hope 和 Stephannie Larocque,《分析师对可比公司的选择》,《会计研究评论》
9 Gus De Franco, Ole-Kristian Hope, and Stephannie Larocque, “Analysts’ Choice of Peer Companies,” Review
of Accounting Studies,第 20 卷,第 1 期,2015 年 3 月,82-109 页。
of Accounting Studies, Vol. 20, No. 1, March 2015, 82-109.
巴鲁克·莱夫(Baruch Lev)在《终结无形资产的会计现状》(Ending the Accounting-for-Intangibles Status Quo)一文中,发表于《欧洲会计评论》(European Accounting Review)第 28 卷,第
10 Baruch Lev, “Ending the Accounting-for-Intangibles Status Quo,” European Accounting Review, Vol. 28, No.
4, September 2019, 713-736.
4, September 2019, 713-736.
11 威廉·F·夏普,“资本资产价格:风险条件下的市场均衡理论”,《期刊》
11 William F. Sharpe, “Capital Asset Prices: A Theory of Market Equilibrium Under Conditions of Risk,” Journal
发表于《金融学刊》第 19 卷第 3 期,1964 年 9 月,第 425-442 页。
of Finance, Vol. 19, No. 3, September 1964, 425-442.
12 尤金·F·法马和肯尼斯·R·弗伦奇,《预期股票收益率的横截面》,《金融学刊》,
12 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。
Vol. 47, No. 2, June 1992, 427-465.
一项精巧的研究利用体育博彩市场来判断投资者行为反映的是信念还是
13 A neat line of research uses sports betting markets to determine whether investor behavior reflects beliefs or
偏好。见 Tobias J. Moskowitz 和 Kaushik Vasudevan,《博彩市场能告诉我们关于投资者偏好和信念的什么?对低风险异象的启示》,工作论文,2021 年 5 月 13 日。14 我们认为,价值投资与价值因子的应用之间存在一个重要区别。
preferences. See Tobias J. Moskowitz and Kaushik Vasudevan, “What Can Betting Markets Tell Us About Investor Preferences and Beliefs? Implications for Low Risk Anomalies,” Working Paper, May 13, 2021. 14 We believe there is an important distinction between value investing and the application of the value factor.
参见迈克尔·莫布森的文章,“价值投资为何仍在市场中奏效”,《金融时报》,2020 年 11 月 18 日。15 法玛和法玛实际上使用了账面市值比,因此高市盈率在统计上反映了估值便宜的股票,而低市盈率则相反。
See Michael Mauboussin, “Why Value Investing Still Works in Markets, Financial Times, November 18, 2020. 15 Fama and French actually used book-to-price, so that high multiples reflect statistically cheap stocks and low
倍数抓住了昂贵的股票。该因子简称为“HML”(高减低)。
multiples capture expensive ones. The factor is shortened as “HML” (high minus low).
16 尤金·F·法玛与肯尼思·R·弗伦奇,“价值溢价”,《资产定价研究评论》,第 11 卷,第
16 Eugene F. Fama and Kenneth R. French, “The Value Premium,” Review of Asset Pricing Studies, Vol. 11, No.
2021 年 3 月,第 105-121 页;以及迪翁·邦加茨、康晓伟和马泰斯·范·迪克,《无形资产与股票回报的横截面》,工作论文,2021 年 9 月。
1, March 2021, 105-121 and Dion Bongaerts, Xiaowei Kang, and Mathijs van Dijk, “Intangible Assets and the Cross-Section of Stock Returns,” Working Paper, September 2021.
Baruch Lev 和 Anup Srivastava 的文章,“Explaining the Recent Failure of Value Investing”,发表于 NYU Stern School of。
17 Baruch Lev and Anup Srivastava, “Explaining the Recent Failure of Value Investing,” NYU Stern School of
商业工作论文,2021 年 9 月 24 日;李飞飞,《无形资产:账面价值中缺失的要素》
Business Working Paper, September 24, 2021; Feifei Li, “Intangibles: The Missing Ingredient in Book Value,”
《投资组合管理期刊》,第 48 卷,第 3 期,2022 年 2 月,第 164-184 页;罗伯特·D·阿诺特、坎贝尔·R·哈维、维塔利·卡列斯尼克和尤哈尼·T·林纳迈马合著,“价值投资之死的报道可能被严重夸大”,研究报告
Journal of Portfolio Management, Vol. 48, No. 3, February 2022, 164-184; Robert D. Arnott, Campbell R. Harvey, Vitali Kalesnik, and Juhani T. Linnainmaa, “Reports of Value’s Death May Be Greatly Exaggerated,” Research
关联机构出版物,2020 年 10 月;以及 Noël Amenc、Felix Goltz 和 Ben Luyten 合著的《无形资产与价值因子:你的价值定义是否已经过时?》,载于《投资组合管理期刊》第 46 卷第 7 期,2020 年 7 月,第 83-99 页。大多数量化公司并不单纯依赖账面市值比来捕捉价值溢价,而是综合使用多种估值倍数。持相反观点的研究,参见 Savina Rizova 和 Namiko Saito 合著的《内部开发无形资产与预期股票回报》,SSRN 工作论文,2021 年 7 月 27 日。
Affiliates Publications, October 2020; and Noël Amenc, Felix Goltz, and Ben Luyten, “Intangible Capital and the Value Factor: Has Your Value Definition Just Expired?” Journal of Portfolio Management, Vol. 46, No. 7, July 2020, 83-99. Most quantitative firms do not rely solely on price-to-book ratios to capture the value premium, but rather use a blend of multiples. For a contrarian view, see Savina Rizova and Namiko Saito, “Internally Developed Intangibles and Expected Stock Returns,” SSRN Working Paper, July 27, 2021.
瑞安·H·彼得斯与卢西恩·A·泰勒,《无形资本与投资-q 关系》,《金融学刊》,
18 Ryan H. Peters and Lucian A. Taylor, “Intangible Capital and the Investment-q Relation,” Journal of Financial
Economics,第 123 卷,第 2 期,2017 年 2 月,第 251-272 页。
Economics, Vol. 123, No. 2, February 2017, 251-272.
19 Luminita Enache 和 Anup Srivastava 合著的《无形资产投资应否单独列报,抑或
19 Luminita Enache and Anup Srivastava, “Should Intangible Investments Be Reported Separately or
与运营费用混同?新证据”,《管理科学》杂志,第 64 卷,第 7 期,2018 年 7 月,第 3446-3468 页。
Commingled with Operating Expenses? New Evidence,” Management Science, Vol. 64, No. 7, July 2018, 3446- 3468.
20 Aneel Iqbal、Shivaram Rajgopal、Anup Srivastava 和 Rong Zhao 合著的《内部生成无形资源的价值》
20 Aneel Iqbal, Shivaram Rajgopal, Anup Srivastava, and Rong Zhao, “Value of Internally Generated Intangible
资本,”工作文件,2022 年 2 月。
Capital,” Working Paper, February 2022.
21 维杰·戈文达拉贾安、希瓦拉姆·拉杰戈帕尔、阿努普·斯里瓦斯塔瓦和卢米尼塔·埃纳切,“是时候停止对待了
21 Vijay Govindarajan, Shivaram Rajgopal, Anup Srivastava, and Luminita Enache, “It’s Time to Stop Treating
研发投入作为可自由支配项目”,《哈佛商业评论》,2019 年 1 月 29 日。
R&D as a Discretionary Item,” Harvard Business Review, January 29, 2019.
阿米塔布·杜加和雅各布·波扎尼,《无形资产时代的股权投资》,《金融分析师期刊》。
22 Amitabh Dugar and Jacob Pozharny, “Equity Investing in the Age of Intangibles,” Financial Analysts Journal,
第 77 卷,第 2 期,2021 年第二季度
Vol. 77, No. 2, Second Quarter 2021.