市场预期投资回报率(MEROI)

2021 · report · 原文约 9902 词
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Counterpoint Global Insights

Counterpoint Global Insights

市场预期的投资回报率

Market-Expected Return on Investment

连接会计与估值的桥梁

Bridging Accounting and Valuation

2021 年 4 月 14 日 | 协和观察者(CONSILIENT OBSERVER)

CONSILIENT OBSERVER | April 14, 2021

引言

公司高管与活跃投资者,本质上都在从事资本配置的工作。两者的目标都是获得有吸引力的投资回报。当一家公司的投资收益率超过资本的机会成本时,它就创造了价值;而当投资者的投资组合收益率高于合理的市场基准时,他们也就创造了价值。

Introduction Corporate executives and active investors are both in the business of allocating capital. The goal for each is to generate an attractive return on investment. Companies create value when their investments earn a return in excess of the opportunity cost of capital. Investors add value when their portfolios generate a return higher than an appropriate market benchmark.

管理层会持续投资于有形资产和无形资产。股票投资者则买卖股票,这些股票本质上是公司偿付所有账单并完成全部投资后的剩余现金流索取权。一家公司的股价,反映的是市场基于其过去、现在及未来投资对其未来现金流的预期。

Executives make investments in tangible and intangible assets over time. Equity investors buy and sell stocks, which are essentially claims on a company’s cash flows after it pays all of its bills and makes all of its investments. A company’s stock price reflects the expectations for future cash flows based on past, present, and prospective investments.

企业通常比投资者赚取更高的回报,因为两者进行的投资类型不同。企业持续投入资产以创造商业价值,而投资者则在某个时间点买入股票,赌的是未来市场预期的修正。在一个有效市场中,公司的估值准确反映了对其价值创造的预期。估值差异会使得风险相近的公司之间预期回报趋于均衡。

Companies generally earn higher returns than investors do because they are making different investments. Companies continually invest in assets in order to create value in the business, while investors buy a stock at a point in time in anticipation of revisions in expectations. In an efficient market, a company’s valuation accurately reflects the expectations for value creation. Valuation differences equilibrate the expected returns for companies of similar risk.

例如,想象一家公司投入 1000 美元,能够每年赚取并分配 100 美元,永续不变。资本成本为 10%。这家企业价值 1000 美元(100/0.10)。再考虑另一家公司,同样以 10% 的资本成本投入 1000 美元,但赚取 200 美元的可分配现金。这家企业价值 2000 美元(200/0.10)。该公司在投资上获得了 20% 的回报,但股东仍然只获得 10% 的回报。市场对那些能产生可观回报的投资资本,会给予较高的估值。

For example, imagine that one company invests $1,000 that allows it to earn and distribute $100 annually into perpetuity. The cost of capital is 10 percent. That business is worth $1,000 ($100/0.10). Consider a second company with the same cost of capital that invests $1,000 but earns $200 in distributable cash. That business has a value of $2,000 ($200/0.10). The company earns a 20 percent return on its investment, but the shareholder still earns 10 percent. The market places a high value on invested capital for businesses that generate attractive

迈克尔·莫布森(Michael J. Mauboussin)[email protected] 丹·卡拉汉(Dan Callahan, CFA)[email protected]

Michael J. Mauboussin [email protected] Dan Callahan, CFA [email protected]

回报率,这会降低投资者的预期收益。

returns, which lowers the expected return for investors.

高管们应当学会读懂公司股价所反映的市场预期,原因有几点。¹ 首先,大多数高级管理人员本身就是股东,而超额回报往往与预期的调整密切相关。高管们还必须意识到,即便投资创造了价值,如果市场预期的是更大规模的投资或更高的投资回报率,那么仅仅创造价值可能不足以支撑股价。此外,理解市场已经反映了什么预期,有助于管理层与金融界的沟通。最后,预期还可以指导某些资本配置决策。例如,高管如果认为公司股价反映了过于悲观的预期,就可以有利地回购股份;而当预期过于乐观时,他们也可以选择增发股票。

Executives should learn to read the expectations that their company’s stock price reflects for a number of reasons.1 To begin, most senior managers are shareholders, and excess returns are tied to revisions in expectations. Executives must also be aware that making investments that create value may be insufficient to sustain the stock price if the market’s expectations are for either a larger amount of investment or a higher return on investment. In addition, an appreciation for what’s priced in can guide management’s communication with the financial community. Finally, expectations can inform certain capital allocation decisions. For instance, executives who believe their company’s stock price reflects expectations that are too pessimistic can advantageously repurchase shares. They can also issue shares when expectations are too optimistic.

投资者在正确预见市场对未来现金流预期发生修正时,便能获得超额回报。要发现被错误定价的预期,投资者必须理解潜在的投资规模与回报率。

Investors earn excess returns when they correctly anticipate revisions in expectations for future cash flows. To find mispriced expectations, investors must understand the potential magnitude and return on investment.

这份报告旨在从三个方面为高管和投资者提供帮助。首先,我们描述了市场预期投资回报率(MEROI),该指标衡量的是公司利润现值等于公司投资现值时的回报率。² 理解 MEROI 能让我们了解企业绩效需要达到多高的门槛。

This report seeks to help executives and investors in three ways. First, we describe market-expected return on investment (MEROI), which measures the return at which the present value of a company’s profits equals the present value of the investments a company makes.2 An understanding of MEROI allows us to understand how high the bar is set for corporate performance.

第二,我们注意到,随着企业投资从以有形资产为主转向无形资产为主,衡量回报变得更加困难。由于无形资产投资被记为费用,费用与投资的分类界限变得模糊。³ 我们力求通过正确区分费用与投资,从而更准确地看待回报,进而理解预期。

Second, we note that measuring returns has become more difficult as corporate investments have shifted from being primarily tangible to intangible. Because intangible investments are recorded as expenses, the categorization of expenses and investments is blurred.3 We seek to gain a more accurate view of returns, and hence expectations, by separating expenses and investments properly.

最后,我们讨论了常见企业回报指标的局限性,包括净资产收益率(ROE)、投入资本回报率(ROIC)、增量投入资本回报率(ROIIC)和内部收益率(IRR)。这些指标虽有一定用处,但在实际使用中,人们往往没有充分意识到它们的局限。

Finally, we discuss the shortcomings of common measures of corporate returns, including return on equity (ROE), return on invested capital (ROIC), return on incremental invested capital (ROIIC), and internal rate of return (IRR). While these measures have some utility, they are commonly used without full acknowledgment of their limitations.

估值(MEROI)与会计(正确计量无形资产投资)之间的联系,正是这份报告的独特之处。下文部分讨论偏技术性,但核心理念简单易懂,并通过示例和案例研究加以说明。

The connection between valuation (MEROI) and accounting (properly measuring intangible investment) is what makes this report novel. Some of the following discussion is technical, but the underlying concepts are straightforward and are illustrated with examples and a case study.

市场预期投资回报率

Market-Expected Return on Investment

常读我们信函的朋友都知道,每次探讨估值问题,我们大多会从经济学家默顿·米勒和弗兰科·莫迪利亚尼 60 年前发表的那篇论文说起——题为《股息政策、增长与股票估值》。4 在那篇开启了现代估值理论的论文里,米勒和莫迪利亚尼讨论了一种“从投资者角度看似乎最为自然的估值方法”。

Frequent readers know that we start a lot of discussions about valuation with the 60-year-old paper by the economists Merton Miller and Franco Modigliani (M&M) called, “Dividend Policy, Growth, and the Valuation of Shares.”4 In the paper, which launched modern valuation, M&M discuss an “approach to valuation which would seem most natural from the standpoint of an investor.”

他们提出,你可以从两个维度思考企业价值:企业当前的盈利能力,加上“企业进行实际资产追加投资的机会(如果有的话),这些投资的回报率将超过‘正常’(市场)回报率。” 盈利能力,或称稳态价值,通常表示为当前税后净营业利润(NOPAT)按资本成本资本化的结果。而创造价值的投资机会,通常被称为“增长机会现值”(PVGO),它反映了投资回报率与资本成本之间的差额、公司能够投入多少资本,以及公司能在多长时间内持续找到价值创造机会。

They suggest that you can think about corporate value in two parts: the current earning power of the business plus “the opportunities, if any, that the firm offers for making additional investments in real assets that will yield more than the ‘normal’ (market) rate of return.” The earning power, or steady-state value, is commonly represented as the current net operating profit after taxes (NOPAT) capitalized by the cost of capital. The opportunities for investments that create value, often called the “present value of growth opportunities” (PVGO), reflect the spread between the return on investment and the cost of capital, how much a company can invest, and how long a company can find value-creating opportunities.5

企业价值 = 稳态价值 + 增长机会现值(PVGO)

Corporate value = steady-state value + present value of growth opportunities (PVGO)

请注意,如果增量投资的回报率等于资本成本,那么 PVGO 便坍缩为零,公司的价值就仅仅是稳态价值。我们的任务是精确衡量 PVGO。而要真正做到这一点,你必须理解费用与投资之间的区别——这正是当前会计准则所模糊处理的地方。

Note that if the return on incremental investment equals the cost of capital, the PVGO collapses to zero and the value of the firm is simply the steady-state value. Our task is to measure the PVGO accurately. You can do that only if you understand the difference between expenses and investments, which our current accounting rules obscure.

完成这项分析的最佳方式是借助一个案例。图 1 展示了一个简单的现金流折现(DCF)模型。该模型通过将未来自由现金流(NOPAT - 投资)的现值之和加上终值的现值,来计算公司价值。稍后我们将建议你创建一个 DCF 模型,根据当前股价来求解市场预期。但眼下,我们先聚焦于该模型的运作机制。

The best way to walk through this analysis is with a case. Exhibit 1 shows a simple discounted cash flow (DCF) model. This model calculates corporate value by taking the sum of the present value of future free cash flows (NOPAT - Investment) and adding the present value of the continuing value. Later we will suggest that you create a DCF model that solves for the market’s expectations based on today’s stock price. But for now we focus on the mechanics of the model.

税后净营业利润(NOPAT)在第 1 年为 100 美元,此后每年增长 8%。投资额的计算方式是:假定 NOPAT 从某年到下一年的变动值,除以该年初的投资额,等于 25%。例如,NOPAT 从第 1 年到第 2 年的变动值为 8 美元,第 1 年的投资额为 32 美元,因此比值为 8 美元 / 32 美元,即 25%。持续价值是第 11 年起的 NOPAT 按资本成本资本化后的结果(215.9 美元 / 0.07 = 3084.2 美元)。⁶

NOPAT is $100 in year 1 and it grows 8 percent per year. Investment is determined by assuming the change in NOPAT from one year to the next divided by the initial year’s investment equals 25 percent. For example, the change in NOPAT from year 1 to 2 is $8, and the investment in year 1 is $32, so the ratio is $8/$32, or 25 percent. The continuing value is NOPAT from year 11 capitalized by the cost of capital ($215.9/0.07 = $3,084.2).6

根据这些假设,企业价值为 2230.8 美元。现在我们可以回到 M&M 理论,将价值分解为稳态价值和 PVGO(未来增长机会的现值)。稳态价值为 1428.6 美元,即第 1 年的税后净营业利润(NOPAT)100 美元按 7% 的资本成本进行资本化(100 美元 / 0.07 = 1428.6 美元)。按照定义,PVGO 为 802.2 美元,即 2230.8 美元 - 1428.6 美元。

Corporate value is $2,230.8 given these assumptions. We can now go back to M&M and break down the value into a steady-state and a PVGO. The steady-state is $1,428.6, or NOPAT in year 1 of $100 capitalized by the cost of capital of 7 percent ($100/0.07 = $1,428.6). By definition, the PVGO is $802.2, or $2,230.8 - $1,428.6.

表 1:简化折现现金流模型

Exhibit 1: Simple Discounted Cash Flow Model

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。

年份1234567891011
NOPAT(税后营业利润)100.0108.0116.6126.0136.0146.9158.7171.4185.1199.9215.9
投资32.034.637.340.343.547.050.854.859.264.0
自由现金流68.073.479.385.792.599.9107.9116.5125.9135.9
自由现金流现值63.664.164.765.366.066.667.267.868.569.1
Year   1   2   3   4   5   6   7   8   9   10   11
NOPAT   100.0   108.0   116.6   126.0   136.0   146.9   158.7   171.4   185.1   199.9   215.9
Investment   32.0   34.6   37.3   40.3   43.5   47.0   50.8   54.8   59.2   64.0
Free cash flow   68.0   73.4   79.3   85.7   92.5   99.9   107.9   116.5   125.9   135.9
PV of free cash flow   63.6   64.1   64.7   65.3   66.0   66.6   67.2   67.8   68.5   69.1

S 自由现金流现值 662.9

S PV of free cash flow 662.9

Continuing value 3,084.2

Continuing value 3,084.2

S 自由现金流的现值 662.9 持续价值的现值 1,567.8

S PV of free cash flow 662.9 PV of continuing value 1,567.8

Corporate value 2,230.8

Corporate value 2,230.8

来源:Counterpoint Global。

Source: Counterpoint Global.

注:假设税后营业利润(NOPAT)增长 8%,增量投入资本回报率(ROIIC)为 25%,资本成本为 7%;Σ 表示求和。

Note: Assumes 8% NOPAT growth, 25% ROIIC, and 7% cost of capital; Σ=sum of.

阿尔弗雷德·拉帕波特(Alfred Rappaport),凯洛格管理学院的荣誉教授,展示了如何通过一个被他称为“股东价值增值”(SVA)的指标来计算 PVGO。7 PVGO 就是模型中所有 SVA 的总和。

Alfred Rappaport, a professor emeritus at Kellogg School of Management, shows how to calculate the PVGO through a measure he calls shareholder value added (SVA).7 The PVGO is the sum of the SVAs in the model.

一家公司在某一年创造的价值,来自它产生的现金流以及其持续价值的变化。看图表 2 中的第一年:股东价值增值(SVA)为 76.9 美元,是自由现金流现值 63.6 美元与持续价值现值变化值 13.4 美元之和(76.9 美元 = 63.6 美元 + 13.4 美元)。如果把每年的 SVA 加总,得到的总体增长机会现值(PVGO)为 802.2 美元。

The value a company creates in a particular year comes from the cash flows it generates and the change in its continuing value. Take a look at year 1 in exhibit 2. SVA is $76.9, the sum of the present value of free cash flow of $63.6 plus the change in the present value of the continuing value of $13.4 ($76.9 = $63.6 + $13.4). If you add up the SVAs from each year you get a total PVGO of $802.2.

表 2:股东价值增加额(SVA)计算

Exhibit 2: Calculation of Shareholder Value Added (SVA)

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。

年份基准1234567891011
自由现金流68.073.479.385.792.599.9107.9116.5125.9135.9
自由现金流现值63.664.164.765.366.066.667.267.868.569.1
持续价值1,542.91,666.31,799.61,943.62,099.02,267.02,448.32,644.22,855.73,084.2
持续价值现值1,428.61,441.91,455.41,469.01,482.71,496.61,510.61,524.71,538.91,553.31,567.8
持续价值现值变动13.413.513.613.713.914.014.114.214.414.5总计
SVA
股东价值增加值76.977.678.379.179.880.681.382.182.883.6802.2
Year   Base   1   2   3   4   5   6   7   8   9   10   11
Free cash flow   68.0   73.4   79.3   85.7   92.5   99.9   107.9   116.5   125.9   135.9
PV of free cash flow   63.6   64.1   64.7   65.3   66.0   66.6   67.2   67.8   68.5   69.1
Continuing value   1,542.9 1,666.3 1,799.6 1,943.6 2,099.0 2,267.0 2,448.3 2,644.2 2,855.7 3,084.2
PV of continuing value   1,428.6 1,441.9 1,455.4 1,469.0 1,482.7 1,496.6 1,510.6 1,524.7 1,538.9 1,553.3 1,567.8
Change in PV of continuing value   13.4   13.5   13.6   13.7   13.9   14.0   14.1   14.2   14.4   14.5   Total
   SVA
Shareholder value added   76.9   77.6   78.3   79.1   79.8   80.6   81.3   82.1   82.8   83.6   802.2

来源:康特波因特全球(Counterpoint Global)

Source: Counterpoint Global.

注:假设 NOPAT 增长率为 8%,ROIIC 为 25%,资本成本为 7%。

Note: Assumes 8% NOPAT growth, 25% ROIIC, and 7% cost of capital.

还有另一种计算股东增值(SVA)的方法,它是计算边际效率投资回报率(MEROI)的关键。回忆一下,增长现值(PVGO)取决于一家公司能以多高的回报率、在多长时间内找到多少价值创造机会。

There’s another way to calculate SVA that is the key to calculating the MEROI. Recall that the PVGO is determined by how much, at what return, and for how long a company can find value creating opportunities.

而 PVGO 正是各项 SVA 的总和。我们可以将总 SVA 计算为增量 NOPAT 的现值减去投资的现值。如果一家公司在其投资上获得的回报超过资本成本,那么 SVA 和 PVGO 就为正值。这正是 M&M 在将 PVGO 描述为“进行额外投资……从而产生高于……(市场)回报率的机会……”时所想到的。

And the PVGO is just the sum of the SVAs. We can calculate total SVA as the present value of the incremental NOPATs minus the present value of the investments. The SVA and PVGO are positive if a company earns returns on its investments that exceed the cost of capital. This is exactly what M&M had in mind when they described the PVGO as “the opportunities . . . for making additional investments. . . that will yield more than the . . . (market) rate of return.”

如果一家公司从投资中获得的收益恰好等于其资本成本,那么增量税后净营业利润(NOPAT)的现值与投资现值相等。股东增值(SVA)和成长现值(PVGO)均为零。

If a company earns exactly its cost of capital on its investments, the present value of incremental NOPAT and the present value of investment will be equal. SVA and PVGO are both zero.

表格 3 展示了我们这笔案例的计算结果。新增 NOPAT(税后净营业利润)的现值总和为 11.141 亿美元,投资总额的现值为 3.12 亿美元。两者之间的差额为 8.022 亿美元(11.141 亿 - 3.12 亿 = 8.022 亿)。

Exhibit 3 shows this calculation for our case. The present value of the incremental NOPATs sum to $1,114.1, and the total present value of the investments equal $312.0. The difference between the two is $802.2 ($1,114.1 - $312.0 = $802.2).

表 3:股东增加值(SVA)的替代计算方式

Exhibit 3: Alternative Calculation of Shareholder Value Added (SVA)

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。

年份基数1234567891011
税后营业利润(NOPAT)100.0108.0116.6126.0136.0146.9158.7171.4185.1199.9215.9
NOPAT 增量8.08.69.310.110.911.812.713.714.816.0合计
资本化后的 NOPAT 增量114.3123.4133.3144.0155.5167.9181.4195.9211.5228.5现金流入
资本化后 NOPAT 增量的现值106.8107.8108.8109.8110.9111.9112.9114.0115.1116.11,114.1
资本化后 NOPAT 增量现值的合计合计
投资额32.034.637.340.343.547.050.854.859.264.0现金流出
投资额的现值29.930.230.530.831.031.331.631.932.232.5312.0
现金流入
减:现金流出
等于:股东价值增加值(SVA)总额
股东价值增加值(SVA)76.977.678.379.179.880.681.382.182.883.6802.2
Year   Base   1   2   3   4   5   6   7   8   9   10   11
NOPAT   100.0   108.0   116.6   126.0   136.0   146.9   158.7   171.4   185.1   199.9   215.9
D NOPAT   8.0   8.6   9.3   10.1   10.9   11.8   12.7   13.7   14.8   16.0   Sum
D NOPAT capitalized   114.3   123.4   133.3   144.0   155.5   167.9   181.4   195.9   211.5   228.5   Inflows
PV D NOPAT capitalized   106.8   107.8   108.8   109.8   110.9   111.9   112.9   114.0   115.1   116.1   1,114.1
S PV of D NOPAT capitalized
   Sum
Investment   32.0   34.6   37.3   40.3   43.5   47.0   50.8   54.8   59.2   64.0   Outflows
PV of investment   29.9   30.2   30.5   30.8   31.0   31.3   31.6   31.9   32.2   32.5   312.0
   Inflows
   - Outflows
   =Total SVA
Shareholder value added   76.9   77.6   78.3   79.1   79.8   80.6   81.3   82.1   82.8   83.6   802.2

来源:Counterpoint Global。

Source: Counterpoint Global.

注:假设 NOPAT 增长率为 8%,增量投入资本回报率(ROIIC)为 25%,资本成本为 7%;Δ 表示变动,Σ 表示总和。

Note: Assumes 8% NOPAT growth, 25% ROIIC, and 7% cost of capital; Δ=change in; Σ=sum of.

现在我们准备求解 MEROI,即让增量 NOPAT 流入的现值等于投资流出(按资本成本折现)现值的折现率。表 4 显示,我们需要 16.2% 的折现率,才能使增量 NOPAT 的现值等于投资的现值。由于 16.2% 远高于 7% 的资本成本,我们可以判断 PVGO 为正。

We are now ready to solve for MEROI, which is the discount rate at which the present value of the incremental NOPAT inflows equals the present value of the investment outflows discounted at the cost of capital. Exhibit 4 shows that we need a 16.2 percent rate in order for the present value of incremental NOPATs to equal the present value of investments. Since 16.2 percent is well above the cost of capital of 7 percent, we know that the PVGO is positive.

表 4:市场预期投资回报率(MEROI)的计算

Exhibit 4: Calculation of Market-Expected Return on Investment (MEROI)

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。

年份 基准 1 2 3 4 5 6 7 8 9 10 按资本成本折现后的投资(流出)现值

Year Base 1 2 3 4 5 6 7 8 9 10 Present value of investments (outflows) discounted at the cost of capital

投资32.034.637.340.343.547.050.854.859.264.0
投资现值29.930.230.530.831.031.331.631.932.232.5
S 投资现值312.0
Investment32.034.637.340.343.547.050.854.859.264.0
PV of investment29.930.230.530.831.031.331.631.932.232.5
S PV of Investment312.0

资本投资现值 312.0

S PV of Investment 312.0

按边际资本预期收益率(MEROI)折现的税后净营业利润(NOPAT)现值(现金流入)

Present value of NOPAT (inflows) discounted at the MEROI

税后净营业利润 100.0108.0116.6126.0136.0146.9158.7171.4185.1199.9215.9
ΔNOPAT8.08.69.310.110.911.812.713.714.816.0
ΔNOPAT资本化49.353.357.562.167.172.578.384.591.398.6
PV D 税后净营业利润资本化42.439.436.734.131.729.427.325.423.621.9
S PV D 税后净营业利润资本化312.0
市场预期投资回报16.2%
NOPAT 100.0108.0116.6126.0136.0146.9158.7171.4185.1199.9215.9
D NOPAT8.08.69.310.110.911.812.713.714.816.0
D NOPAT capitalized49.353.357.562.167.172.578.384.591.398.6
PV D NOPAT capitalized42.439.436.734.131.729.427.325.423.621.9
S PV of D NOPAT capitalized312.0
Market expected return on investment16.2%

S 型现值法下的 D NOPAT 资本化值 312.0

S PV of D NOPAT capitalized 312.0

市场预期的投资回报率为 16.2%

Market expected return on investment 16.2%

来源:Counterpoint Global。

Source: Counterpoint Global.

注:假设 NOPAT 增速为 8%,ROIIC 为 25%,资本成本为 7%;Σ=求和;Δ=变化量。

Note: Assumes 8% NOPAT growth, 25% ROIIC, and 7% cost of capital; Σ=sum of; Δ=change in.

在实践中估算 MEROI 有三个步骤。第一步,建立贴现现金流模型,反映公司股价中嵌入的预期。8 第二步,以资本成本为贴现率,计算投资现值。最后,求解使资本化年度 NOPAT 变化现值与投资现值相等的盈亏平衡回报率。

There are three steps in estimating MEROI in practice. First, you create a discounted cash flow model that reflects the expectations embedded in the company’s stock price.8 Second, you calculate the present value of investments discounted at the cost of capital. And finally, you solve for the breakeven rate that equates the present value of the capitalized annual NOPAT changes to the present value of the investments.

我们的下一个挑战是正确衡量投资。

Our next challenge is to measure investment properly.

无形投资崛起的重要性

The Importance of the Rise of Intangible Investments

过去半个世纪,企业的投资方式发生了根本性转变。投资是当下的支出,用以创造一项资产,其预期经济价值基于未来的现金流。有形资产——如工厂、机器和存货——在 1970 年代是投资的主导形式。而无形资产——包括研发(R&D)、品牌建设以及员工培训——则是当今的主导形式。⁹

There has been a substantial transformation in the way companies invest over the past half century. An investment is an outlay today that creates an asset that is expected to have positive economic value based on future cash flows. Tangible assets, such as factories, machines, and inventory, were the dominant form of investment in the 1970s. Intangible assets, including research and development (R&D), brand building, and employee training, are the dominant form today.9

这一点很重要,因为对有形资产的投资会记录在资产负债表上,而对无形资产的投资通常体现在利润表中。过去,当大部分支出在利润表上、大部分资产在资产负债表上时,区分支出与投资很容易。但如今,由于利润表将支出与投资混为一谈,分类成了一大难题。

This is important because investments in tangible assets are recorded on the balance sheet and intangible investments commonly show up on the income statement. Sorting expenses and investments was easy when most of the expenses were on the income statement and most of the assets were on the balance sheet. But categorization is a challenge today because income statements conflate expenses and investments.

转向无形投资的一个后果是,报告净亏损的公司比过去更多(见图表 5)。需要说明的是,公司报告亏损可能是因为其费用化投资超过了当期收益——如果这些投资有望带来可观的经济回报,这反而是好事。公司也可能因为费用超过销售收入而报告亏损——如果该业务从根本上不盈利,这就很糟糕。将费用与投资区分开来,从未像现在这样重要。

One consequence of the shift to intangible investments is that more companies are reporting negative net income than what we have seen in the past (see exhibit 5). To be clear, companies can report losses because their expensed investments exceed current earnings, which is good if the investments promise attractive economic returns. Companies can also report losses when their expenses exceed their sales, which is bad if the business is fundamentally unprofitable. Separating expenses from investments has never been so important.

表 5:1980–2020 年罗素 3000 指数中净收益为负的公司占比 45%

Exhibit 5: Percentage of Companies in the Russell 3000 with Negative Net Income, 1980-2020 45

40

40

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。

亏损企业占比
35
30
25
20
15
10
5
0
198019821984198619881990199219941996199820002002200420062008201020122014201620182020
Percent of Companies with
   35
   30
   25
   20
  Negative Net Income
   15
   10
   5
   0
   1980   1982   1984   1986   1988   1990   1992   1994   1996   1998   2000   2002   2004   2006   2008   2010   2012   2014   2016   2018   2020

Source: FactSet.

Source: FactSet.

注:截至年末的罗素 3000 指数成分股。

Note: Constituents of the Russell 3000 Index as of year-end.

会计学教授 卢米尼塔·埃纳什 与 阿努普·斯里瓦斯塔瓦 开发出了一套衡量无形资产投资的方法。¹⁰ 他们将已报告的运营费用分为两组:第一组是无形资产投资,包括研发和广告;第二组是销售、一般及行政费用(SG&A),剔除研发和广告后,他们称之为 核心 SG&A。他们进一步将核心 SG&A 拆分为投资部分和维护部分。你可以将投资性核心 SG&A 理解为公司为追求增长、创造价值而进行的自主性投资,而维护性核心 SG&A 则是支撑当前运营的费用。

Luminita Enache and Anup Srivastava, professors of accounting, developed a technique to measure intangible investments.10 They separate reported operating expenses into two groups. The first is intangible investments that include R&D and advertising. The second is selling, general, and administrative (SG&A) expenses excluding R&D and advertising, which they call Main SG&A. They further break Main SG&A into investment and maintenance parts. You can think of investment Main SG&A as the discretionary investments a company makes in pursuit of growth that creates value. Maintenance Main SG&A are the expenses that support current operations.

在图表 6 中,我们依据 Enache 和 Srivastava 的分解方法,估算了罗素 3000 指数成分公司(不含金融服务行业公司)在无形资产投资与维护性销售、一般及行政管理费用上的支出。

In exhibit 6, we use Enache and Srivastava’s breakdown to estimate the amount companies in the Russell 3000 spent on intangible investment and maintenance SG&A (we exclude companies in the financial services industry).

例如,埃纳赫(Enache)和斯里瓦斯塔瓦(Srivastava)估算,在 20 世纪 80 年代中期,近 40% 的主营销售及管理费用(Main SG&A)流向了投资类支出,而近年来这一比例已上升至约 60%。反之,20 世纪 80 年代中期约有 60% 的主营销售及管理费用用于维护性支出,近年来这一比例已降至约 40%。为了计算每年主营销售及管理费用的投资类支出和维护类支出的具体金额,我们将每年的适用比例乘以该年销售及管理费用的总额。无形投资则是投资类主营销售及管理费用、研发支出和广告支出的总和。

For example, Enache and Srivastava estimate that nearly 40 percent of Main SG&A went to investments in the mid-1980s and that in recent years the ratio rose to roughly 60 percent. Conversely, about 60 percent of Main SG&A went to maintenance in the mid-1980s and in recent years the ratio has fallen to roughly 40 percent. To calculate the annual dollar amount of investment Main SG&A and maintenance SG&A, we apply the applicable rate for each year times the aggregate dollar amount of SG&A for each year. Intangible investments are the sum of investment Main SG&A, R&D, and advertising.

无形资产投资一直处于稳步上升的趋势,只在金融危机期间有过短暂中断,并于 2000 年超过了维护性支出。为了更好地理解这个数字:2020 年无形资产投资大约为 1.8 万亿美元,是 8000 亿美元资本支出的两倍多。这些数据戳穿了“企业投资比以前少了”这种说法的谎言。

Intangible investment has been in a steady uptrend, with a brief interruption during the financial crisis, and passed maintenance spending in 2000. To put this figure in context, investments in intangible assets were roughly $1.8 trillion in 2020, more than double the $800 billion in capital expenditures. These data put the lie to the assertion that companies are investing less than they used to.

这项工作清楚表明,相对于有形资产,无形资产的投资正在上升。其结果是,未能衡量无形资产投资的规模与回报,正成为一个日益严重的重大问题。

This work shows clearly that investments in intangible assets are rising relative to those in tangible assets. As a result, the failure to measure the magnitude and return on intangible investments is a large and growing problem.

附表 6:销售、一般及管理费用(SG&A)构成,1984-2020 年

Exhibit 6: Components of Selling, General, and Administrative (SG&A) Costs, 1984-2020

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。

2,000
无形资产
1,800
投资
1,600
1,400
1,200
十亿美元
1,000
维护
800
销售及管理费用
600
400
200
0
1984198619881990199219941996199820002002200420062008201020122014201620182020
   2,000
   Intangible
   1,800
   Investments
   1,600
   1,400
   1,200
$ Billions
   1,000
   Maintenance
   800
   SG&A
   600
   400
   200
   0
   1984   1986   1988   1990   1992   1994   1996   1998   2000   2002   2004   2006   2008   2010   2012   2014   2016   2018   2020

资料来源:基于 Luminita Enache 和 Anup Srivastava 的论文《无形资产投资应单独报告还是与运营费用混报?新证据》对罗素 3000 指数的分析,刊于《管理科学》第 64 卷第 7 期,2018 年 7 月,第 3446–3468 页。数据由 Anup Srivastava 延展至 2018 年。包含 Counterpoint Global 的估算数据。

Source: Analysis for Russell 3000 based on Luminita Enache and Anup Srivastava, “Should Intangible Investments Be Reported Separately or Commingled with Operating Expenses? New Evidence,” Management Science, Vol. 64, No. 7, July 2018, 3446-3468. Data extended through 2018 by Anup Srivastava. Includes Counterpoint Global estimates.

注意:无形资产投入 = 研发 + 广告 + 投资性主营业务及管理费用;维护性主营业务及管理费用 = 维护性主营业务及管理费用。

Note: Intangible investments=R&D + Advertising + Investment Main SG&A; Maintenance SG&A=Maintenance Main SG&A.

毫不意外,无形资产投资的规模因行业差异极大。图 7 展示了 Bridgeway Capital Management 的投资者阿米塔布·杜格(Amitabh Dugar)和雅各布·波扎尼(Jacob Pozharny)计算的过去 25 年无形资产密集度排名。11 各行业在榜单上的位置合情合理。

Not surprisingly, the magnitude of intangible investment varies a great deal by industry. Exhibit 7 shows a ranking of intangible intensity over the past quarter century as calculated by Amitabh Dugar and Jacob Pozharny, investors at Bridgeway Capital Management.11 Where industries land in the ranking makes sense.

医疗、软件和媒体排在清单前列,能源、房地产和公用事业排在末位。无形投资的衡量方式在某些行业中比在其他行业更重要。

Healthcare, software, and media are at the top of the list, and energy, real estate, and utilities are at the bottom. Measuring intangible investments is more important in some industries than in others.

表 7:1994–2018 年各行业平均综合无形强度排名

行业无形强度
制药、生物技术与生命科学19.9
软件与服务18.7
媒体与娱乐18.6
电信服务16.6
医疗保健设备与服务16.3
家庭与个人用品14.6
技术硬件与设备13.4
半导体与半导体设备12.3
消费者服务11.5
商业与专业服务11.5
零售业10.8
耐用消费品与服装10.1
食品、饮料与烟草9.9
资本品9.0
汽车与零部件7.4
食品与日用品零售6.1
材料5.9
运输4.8
能源4.5
房地产4.1
公用事业3.8

来源:Amitabh Dugar 与 Jacob Pozharny,“Equity Investing in the Age of Intangibles”,《金融分析师杂志》第 77 卷第 2 期,2021 年第二季度。

Exhibit 7: Ranks of Average Composite Intangible Intensity, 1994-2018 Industry Intangible Intensity Rank Pharmaceuticals, Biotechnology, & Life Sciences 19.9 Software & Services 18.7 Media & Entertainment 18.6 Telecommunication Services 16.6 Health Care Equipment & Services 16.3 Household & Personal Products 14.6 Technology Hardware & Equipment 13.4 Semiconductor & Semiconductor Equipment 12.3 Consumer Services 11.5 Commercial & Professional Services 11.5 Retailing 10.8 Consumer Durables & Apparel 10.1 Food, Beverage, & Tobacco 9.9 Capital Goods 9.0 Automobiles & Components 7.4 Food & Staples Retailing 6.1 Materials 5.9 Transportation 4.8 Energy 4.5 Real Estate 4.1 Utilities 3.8 Source: Amitabh Dugar and Jacob Pozharny, “Equity Investing in the Age of Intangibles,” Financial Analysts Journal, Vol. 77, No. 2, Second Quarter 2021.

注:该排名基于美国各行业在 25 年期间的多项无形资产强度指标计算得出。

Note: An average ranking of U.S. industries over a 25-year period based on several measures of intangible intensity.

我们现在来说明,当我们对无形投资进行资本化处理时,MEROI 会如何变化。资本化就是将一项费用从利润表移至资产负债表上的资产项。随后,该资产将在一定期限内摊销,摊销费用体现在利润表上。当无形投资处于增长阶段时,NOPAT 和投资额会按相同金额调增,自由现金流保持不变。

We now illustrate how MEROI changes when we capitalize intangible investments. Capitalization moves an expense from the income statement to an asset on the balance sheet. That asset is then amortized over a period, which shows up as an amortization expense on the income statement. In cases where intangible investments are growing, NOPAT and investments are adjusted up by the same amount, leaving free cash flow unchanged.

我们用微软作为案例。分析从 2004 财年年初开始(公司财年于 6 月 30 日结束),并使用截至 2020 财年的实际业绩。虽然 MEROI 衡量的是基于股票定价中包含的未来现金流所实现的盈亏平衡回报,你可以想象,我们对微软的这些数字是未卜先知的。

We use Microsoft as a case study. We start the analysis at the beginning of fiscal year 2004 (the company’s fiscal year ends on June 30) and use actual results through fiscal year 2020. While MEROI measures the breakeven return based on the future cash flows that are priced into a stock, you might imagine that we had a crystal ball for our Microsoft figures.

附录 8 是基于所报告数字的折现现金流模型。我们假设股权成本为 9.5%,这是当时的一个估计值,并根据永续法计算持续价值。12 若将超额现金加入公司价值,除以流通股数,每股价值与当时的股价相差不超过 10%。公司价值为 2487 亿美元。

Exhibit 8 is a discounted cash flow model based on the numbers as reported. We assume a cost of equity of 9.5 percent, an estimate of what it was at that time, and a continuing value based on the perpetuity method. 12 If you add excess cash to the corporate value and divide by shares outstanding, the value per share is within 10 percent of the stock price at the time. Corporate value is $248.7 billion.

表 8:微软公司贴现现金流模型,2004-2020 财年

Exhibit 8: Discounted Cash Flow Model for Microsoft, Fiscal Years 2004-2020

附录8:微软公司折现现金流模型,2004-2020财年
年度1 23 45 67 89 10111213 1415161718
税后净营业利润5.8 10.811.3 13.016.9 15.618.7 23.217.4 23.023.823.622.2 23.632.934.747.959.5
投资-0.4 -0.5-0.2 3.06.7 5.41.4 0.27.5 2.83.14.91.2 34.34.46.310.2
自由现金流6.2 11.311.5 10.010.2 10.217.3 23.09.9 20.220.718.721.0 -10.728.528.437.7
自由现金流现值5.7 9.48.8 6.96.5 5.99.2 11.14.4 8.27.66.36.4 -3.07.36.68.0
自由现金流现值115.3
持续价值625.4
自由现金流现值115.3
持续价值现值133.4
公司价值248.7
加:现金62.1
减:债务0.0
股东价值310.8
每股股东价值$28.56
Closing price on July 1, 2003$26.15
Exhibit 8: Discounted Cash Flow Model for Microsoft, Fiscal Years 2004-2020
Year1 23 45 67 89 10111213 1415161718
NOPAT5.8 10.811.3 13.016.9 15.618.7 23.217.4 23.023.823.622.2 23.632.934.747.959.5
Investment-0.4 -0.5-0.2 3.06.7 5.41.4 0.27.5 2.83.14.91.2 34.34.46.310.2
Free cash flow6.2 11.311.5 10.010.2 10.217.3 23.09.9 20.220.718.721.0 -10.728.528.437.7
PV of free cash flow5.7 9.48.8 6.96.5 5.99.2 11.14.4 8.27.66.36.4 -3.07.36.68.0
S PV of free cash flow115.3
Continuing value625.4
S PV of free cash flow115.3
PV of continuing value133.4
Corporate value248.7
Plus: cash62.1
Minus: debt0.0
Shareholder value310.8
Shareholder value per share$28.56
Closing price on July 1, 2003$26.15

自由现金流现值 115.3

S PV of free cash flow 115.3

Continuing value 625.4

Continuing value 625.4

S 自由现金流现值 115.3 持续价值现值 133.4 公司价值 248.7

S PV of free cash flow 115.3 PV of continuing value 133.4 Corporate value 248.7

此外:现金 6210 万美元 减去:债务 0 美元 股东价值 3.108 亿美元 每股股东价值 28.56 美元 2003 年 7 月 1 日收盘价 26.15 美元

Plus: cash 62.1 Minus: debt 0.0 Shareholder value 310.8 Shareholder value per share $28.56 Closing price on July 1, 2003 $26.15

来源:微软和 Counterpoint Global。

Source: Microsoft and Counterpoint Global.

注:金额单位:十亿美元;Σ = 合计数。

Note: In billions of U.S. dollars; Σ=sum of.

现在我们可以计算 MEROI(边际效率投资回报率)。企业价值 2487 亿美元等于稳态价值 610 亿美元(5.8 / 0.095)加上增长机会现值(PVGO)1877 亿美元。PVGO 是 NOPAT(税后净营业利润)流入现值(2189 亿美元)减去投资流出现值(312 亿美元)的差额。使流入现值与流出现值相等的贴现率 MEROI 为 27.1%(见表 9)。

We can now calculate the MEROI. Corporate value of $248.7 billion equals the steady-state value of $61.0 billion ($5.8/0.095) plus the PVGO of $187.7 billion. The PVGO is the difference between the present value of the NOPAT inflows ($218.9 billion) minus the present value of the investment outflows ($31.2 billion). MEROI, the discount rate that equates the present value of the inflows with the present value of the outflows, is 27.1 percent (exhibit 9).

表 9:微软截至 2004 财年初的市场预期回报率(MEROI)

Exhibit 9: MEROI for Microsoft as of Beginning of Fiscal 2004

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。

年份基础123456789101112131415161718
税后营业利润5.810.811.313.016.915.618.723.217.423.023.823.622.223.632.934.747.959.5
税后营业利润增量5.00.51.73.9-1.33.14.4-5.85.60.8-0.2-1.41.49.31.813.211.6合计
资本化后的税后营业利润增量52.15.617.641.5-13.933.046.6-60.758.98.4-1.9-15.114.797.619.3138.4122.3流入
资本化税后营业利润增量的现值47.54.713.428.8-8.819.124.7-29.326.03.4-0.7-5.14.527.44.932.326.1218.9
合计
投资-0.4-0.5-0.23.06.75.41.40.27.52.83.14.91.234.34.46.310.2流出
投资的现值-0.4-0.5-0.22.14.33.10.80.13.31.11.11.60.49.61.11.52.231.2
流入
- 流出
= 股东增加值总额
股东增加值47.95.113.626.8-13.116.023.9-29.422.72.3-1.8-6.74.117.73.830.923.9187.7
Year   Base   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18
NOPAT   5.8   10.8   11.3   13.0   16.9   15.6   18.7   23.2   17.4   23.0   23.8   23.6   22.2   23.6   32.9   34.7   47.9   59.5
D NOPAT   5.0   0.5   1.7   3.9   -1.3   3.1   4.4   -5.8   5.6   0.8   -0.2   -1.4   1.4   9.3   1.8   13.2   11.6   Sum
D NOPAT capitalized   52.1   5.6   17.6   41.5   -13.9   33.0   46.6   -60.7   58.9   8.4   -1.9   -15.1   14.7   97.6   19.3 138.4   122.3   Inflows
PV D NOPAT capitalized   47.5   4.7   13.4   28.8   -8.8   19.1   24.7   -29.3   26.0   3.4   -0.7   -5.1   4.5   27.4   4.9   32.3   26.1   218.9
   Sum
Investment   -0.4   -0.5   -0.2   3.0   6.7   5.4   1.4   0.2   7.5   2.8   3.1   4.9   1.2   34.3   4.4   6.3   10.2   Outflows
PV of investment   -0.4   -0.5   -0.2   2.1   4.3   3.1   0.8   0.1   3.3   1.1   1.1   1.6   0.4   9.6   1.1   1.5   2.2   31.2
   Inflows
   - Outflows
   =Total SVA
Shareholder value added   47.9   5.1   13.6   26.8   -13.1   16.0   23.9   -29.4   22.7   2.3   -1.8   -6.7   4.1   17.7   3.8   30.9   23.9   187.7

按资本成本折现的投资(流出)现值

Present value of investments (outflows) discounted at the cost of capital

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。

投资 -0.4 -0.5 -0.2 3.0 6.7 5.4 1.4 0.2 7.5 2.8 3.1 4.9 1.2 34.3 4.4 6.3 10.2 投资现值 -0.4 -0.5 -0.2 2.1 4.3 3.1 0.8 0.1 3.3 1.1 1.1 1.6 0.4 9.6 1.1 1.5 2.2

Investment -0.4 -0.5 -0.2 3.0 6.7 5.4 1.4 0.2 7.5 2.8 3.1 4.9 1.2 34.3 4.4 6.3 10.2 PV of investment -0.4 -0.5 -0.2 2.1 4.3 3.1 0.8 0.1 3.3 1.1 1.1 1.6 0.4 9.6 1.1 1.5 2.2

S 投资现值 31.2 无杠杆净营业利润现值(现金流入),按 MEROI 折现

S PV of investment 31.2 Present value of NOPAT (inflows) discounted at the MEROI

税后净营业利润 5.810.811.313.016.915.618.723.217.423.023.823.622.223.632.934.747.959.5
ΔNOPAT5.00.51.73.9-1.33.14.4-5.85.60.8-0.2-1.41.49.31.813.211.6
ΔNOPAT资本化18.32.06.214.6-4.911.616.4-21.320.73.0-0.7-5.35.234.36.848.743.0
PV D 税后净营业利润资本化14.41.23.05.6-1.52.83.1-3.12.40.30.0-0.30.21.20.21.10.7
S PV D 税后净营业利润资本化31.2
市场预期投资回报27.1%
NOPAT 5.810.811.313.016.915.618.723.217.423.023.823.622.223.632.934.747.959.5
D NOPAT5.00.51.73.9-1.33.14.4-5.85.60.8-0.2-1.41.49.31.813.211.6
D NOPAT capitalized18.32.06.214.6-4.911.616.4-21.320.73.0-0.7-5.35.234.36.848.743.0
PV D NOPAT capitalized14.41.23.05.6-1.52.83.1-3.12.40.30.0-0.30.21.20.21.10.7
S PV of D NOPAT capitalized31.2
Market expected return on investment27.1%

S PV of D NOPAT 资本化 31.2

S PV of D NOPAT capitalized 31.2

市场预期投资回报率 27.1%

Market expected return on investment 27.1%

资料来源:微软与康特波因特环球公司

Source: Microsoft and Counterpoint Global.

注意:金额单位均为十亿美元;Δ=变动额;Σ=合计值。

Note: In billions of U.S. dollars; Δ=change in; Σ=sum of.

我们现在在将微软的部分费用视为投资后,计算其 MEROI。这涉及两个重大决策:第一是哪些费用应被恰当视为投资,第二是这些无形资产的分摊期限。我们借鉴无形资产研究领域知名学者查尔斯·赫尔滕的研究成果来回答这些问题。13 据此,我们得以计算各年的无形资产投资额与分摊费用。

We now calculate the MEROI for Microsoft after we reflect some of its expenses as investments. There are two big decisions. The first is which expenses are properly considered investments, and the second is the amortization period for the intangible asset. We defer to the work of Charles Hulten, a prominent academic in the study of intangible assets, to answer these questions.13 This allows us to calculate the intangible investment and amortization expense for each year.

例如,我们来看微软 2020 财年(图表 8 中的第 17 年)的业绩。未经调整的税后净营业利润为 480 亿美元,投资为 100 亿美元,自由现金流为 380 亿美元。赫尔滕方法将 440 亿美元运营费用中的 340 亿美元指定为投资。基于他的假设,2020 财年的摊销费用为 270 亿美元。这意味着我们将 70 亿美元(340 亿 - 270 亿美元)添加到税后净营业利润和投资中。结果,税后净营业利润从 480 亿美元增至 550 亿美元,投资从 100 亿美元增至 170 亿美元,而 380 亿美元的自由现金流保持不变。

For example, consider Microsoft’s results for fiscal 2020 (year 17 in exhibit 8). NOPAT without adjustments was $48 billion and investment was $10 billion for free cash flow of $38 billion. Hulten’s method designates $34 billion of the $44 billion in operating expenses as investment. Based on his assumptions, the amortization for fiscal 2020 comes out to $27 billion. This means that we add $7 billion ($34 - $27 billion) to NOPAT and investment. As a result, NOPAT goes from $48 to $55 billion, investment goes from $10 to $17 billion, and free cash flow of $38 billion remains unchanged.

表 10 展示了整个区间的调整后数据。自由现金流和公司市值都没有变化。不同的是自由现金流的实现路径。我们现在可以更准确地衡量投资,并最终计算 MEROI。¹⁴

Exhibit 10 shows the adjusted numbers for the full period. Neither the free cash flow nor corporate value change. What is different is the path to free cash flow. We can now measure the investment, and ultimately the MEROI, more accurately.14

附表 10:微软调整后折现现金流模型,2004—2020 财年

Exhibit 10: Adjusted Discounted Cash Flow Model for Microsoft, Fiscal Years 2004-2020

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。

年份123456789101112131415161718
税后经营利润10.612.212.815.320.517.820.025.319.425.926.826.023.126.037.940.655.159.5
投资额4.40.91.35.310.37.62.72.39.55.66.17.32.236.79.412.217.4
自由现金流6.211.311.510.010.210.217.323.09.920.220.718.721.0-10.728.528.437.7
自由现金流现值5.79.48.86.96.55.99.211.14.48.27.66.36.4-3.07.36.68.0
Year   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18
NOPAT   10.6   12.2   12.8   15.3   20.5   17.8   20.0   25.3   19.4   25.9   26.8   26.0   23.1   26.0   37.9   40.6   55.1   59.5
Investment   4.4   0.9   1.3   5.3   10.3   7.6   2.7   2.3   9.5   5.6   6.1   7.3   2.2   36.7   9.4   12.2   17.4
Free cash flow   6.2   11.3   11.5   10.0   10.2   10.2   17.3   23.0   9.9   20.2   20.7   18.7   21.0   -10.7   28.5   28.4   37.7
PV of free cash flow   5.7   9.4   8.8   6.9   6.5   5.9   9.2   11.1   4.4   8.2   7.6   6.3   6.4   -3.0   7.3   6.6   8.0

未来自由现金流折现现值 115.3

S PV of free cash flow 115.3

Continuing value 625.4

Continuing value 625.4

S 自由现金流现值 115.3 持续价值现值 133.4

S PV of free cash flow 115.3 PV of continuing value 133.4

Corporate value 248.7

Corporate value 248.7

来源:微软与 Counterpoint Global。

Source: Microsoft and Counterpoint Global.

注:单位:十亿美元;Σ=合计。

Note: In billions of U.S. dollars; Σ=sum of.

附件 11 展示了更新后的 MEROI 计算。企业价值的构成发生了变化,稳态价值为 1118 亿美元(10.6 美元 ÷ 0.095),加上增长期权现值(PVGO)1369 亿美元。PVGO 是 NOPAT 流入现值(1909 亿美元)减去投资流出现值(540 亿美元)后的差额。MEROI 当前为 18.1%,比未经调整的数值整整低了 9 个百分点。

Exhibit 11 shows the updated MEROI calculation. The composition of corporate value shifts, with a steady-state value of $111.8 billion ($10.6/0.095) plus the PVGO of $136.9 billion. The PVGO is the difference between the present value of the NOPAT inflows ($190.9 billion) minus the present value of the investment outflows ($54.0 billion). MEROI is now 18.1 percent, a full 9 percentage points lower than it was with the unadjusted figures.

显示 11:基于 2004 财年初调整后的微软计算的 MEROI

Exhibit 11: MEROI Based on Adjustments for Microsoft as of Beginning of Fiscal 2004

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。

年份基年123456789101112131415161718
NOPAT10.612.212.815.320.517.820.025.319.425.926.826.023.126.037.940.655.159.5
Δ NOPAT1.50.72.45.2-2.62.15.3-5.96.51.0-0.8-2.92.911.92.714.54.4合计
Δ NOPAT 资本化值16.26.925.754.4-27.522.655.4-61.868.010.3-8.7-30.330.3124.828.4152.446.4流入
Δ NOPAT 资本化值的现值14.85.819.637.8-17.513.129.3-29.830.04.2-3.2-10.29.335.07.335.69.9190.9
投资4.40.91.35.310.37.62.72.39.55.66.17.32.236.79.412.217.4流出
投资的现值4.10.71.03.76.54.41.41.14.22.32.32.40.710.32.42.93.754.0
流入 - 流出 = 总 SVA
股东价值增加值10.85.018.634.1-24.08.727.9-31.025.81.9-5.4-12.68.624.74.932.76.2136.9
Year   Base   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18
NOPAT   10.6   12.2   12.8   15.3   20.5   17.8   20.0   25.3   19.4   25.9   26.8   26.0   23.1   26.0   37.9   40.6   55.1   59.5
D NOPAT   1.5   0.7   2.4   5.2   -2.6   2.1   5.3   -5.9   6.5   1.0   -0.8   -2.9   2.9   11.9   2.7   14.5   4.4   Sum
D NOPAT capitalized   16.2   6.9   25.7   54.4   -27.5   22.6   55.4   -61.8   68.0   10.3   -8.7   -30.3   30.3 124.8   28.4 152.4   46.4   Inflows
PV D NOPAT capitalized   14.8   5.8   19.6   37.8   -17.5   13.1   29.3   -29.8   30.0   4.2   -3.2   -10.2   9.3   35.0   7.3   35.6   9.9   190.9
   Sum
Investment   4.4   0.9   1.3   5.3   10.3   7.6   2.7   2.3   9.5   5.6   6.1   7.3   2.2   36.7   9.4   12.2   17.4   Outflows
PV of investment   4.1   0.7   1.0   3.7   6.5   4.4   1.4   1.1   4.2   2.3   2.3   2.4   0.7   10.3   2.4   2.9   3.7   54.0
   Inflows
   - Outflows
   =Total SVA
Shareholder value added   10.8   5.0   18.6   34.1   -24.0   8.7   27.9   -31.0   25.8   1.9   -5.4   -12.6   8.6   24.7   4.9   32.7   6.2   136.9

按资本成本贴现的投资(流出)现值

Present value of investments (outflows) discounted at the cost of capital

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。

投资 4.4 0.9 1.3 5.3 10.3 7.6 2.7 2.3 9.5 5.6 6.1 7.3 2.2 36.7 9.4 12.2 17.4 投资现值 4.1 0.7 1.0 3.7 6.5 4.4 1.4 1.1 4.2 2.3 2.3 2.4 0.7 10.3 2.4 2.9 3.7

Investment 4.4 0.9 1.3 5.3 10.3 7.6 2.7 2.3 9.5 5.6 6.1 7.3 2.2 36.7 9.4 12.2 17.4 PV of investment 4.1 0.7 1.0 3.7 6.5 4.4 1.4 1.1 4.2 2.3 2.3 2.4 0.7 10.3 2.4 2.9 3.7

S 投资现值 54.0 按 MEROI 折现的 NOPAT(现金流入)现值

S PV of investment 54.0 Present value of NOPAT (inflows) discounted at the MEROI

税后净营业利润 10.612.212.815.320.517.820.025.319.425.926.826.023.126.037.940.655.159.5
ΔNOPAT1.50.72.45.2-2.62.15.3-5.96.51.0-0.8-2.92.911.92.714.54.4
ΔNOPAT资本化8.53.613.528.6-14.511.929.1-32.535.75.4-4.6-15.915.965.614.980.124.4
PV D 税后净营业利润资本化7.22.68.214.7-6.34.49.1-8.68.01.0-0.7-2.21.86.41.25.61.4
S PV D 税后净营业利润资本化54.0
市场预期投资回报18.1%
NOPAT 10.612.212.815.320.517.820.025.319.425.926.826.023.126.037.940.655.159.5
D NOPAT1.50.72.45.2-2.62.15.3-5.96.51.0-0.8-2.92.911.92.714.54.4
D NOPAT capitalized8.53.613.528.6-14.511.929.1-32.535.75.4-4.6-15.915.965.614.980.124.4
PV D NOPAT capitalized7.22.68.214.7-6.34.49.1-8.68.01.0-0.7-2.21.86.41.25.61.4
S PV of D NOPAT capitalized54.0
Market expected return on investment18.1%

S 股息净经营利润现值 资本化 54.0

S PV of D NOPAT capitalized 54.0

市场预期投资回报率为 18.1%

Market expected return on investment 18.1%

来源:微软与 Counterpoint Global。

Source: Microsoft and Counterpoint Global.

注:单位十亿美元;Δ=变动额;Σ=合计。

Note: In billions of U.S. dollars; Δ=change in; Σ=sum of.

请注意,在这两种情形下,公司的盈亏平衡回报率分别为 27.1% 和 18.1%,都显著高于投资者预期的 9.5% 回报率。高回报的企业往往伴随着高昂的估值,这正是优质公司不一定是优质股票的原因。

Note that in both cases, the company’s breakeven rates of return of 27.1 and 18.1 percent are materially higher than the expected rate of return of investors of 9.5 percent. Businesses with high returns often fetch lofty valuations, which is why great businesses are not always great stocks.

我们放慢脚步,确保这个调整的含义清晰无误。我们可以用 M&M 框架来指导思考,即公司价值等于稳态价值加上增长机会现值(PVGO)。我们正在将一项费用重新归类为一项投资,这一调整所反映的事实是,如果一家公司选择减少自主性无形投资,其稳态价值会更高。这会提升……

Let’s slow down and make sure that the implication of this adjustment is clear. We can use the M&M framework, corporate value equals the steady-state value plus the PVGO, to guide our thinking. We are reclassifying an expense as an investment, an adjustment that reflects the fact that a company’s steady-state value would be higher if it elected to reduce discretionary intangible investments. This increases the value of

稳态会降低未来增长价值(PVGO),从而减轻对增量投资回报率的要求。当然,如果无形资产投资能够创造价值,公司就应该进行这类投资。数据显示事实确实如此。¹⁵

the steady-state and reduces the value of the PVGO, hence lowering the onus on incremental return on investment. Naturally, companies should invest in intangible investments if they create value. The data show this to be the case.15

未经调整的 MEROI 与调整后的 MEROI 之间的差异,取决于 SG&A 中重新分类的比例以及所分配的摊销期限。(有关更详细的讨论,请参阅附录。)如果不将任何 SG&A 视为投资,则无需进行调整。SG&A 中被资本化的比例越高,调整后的 MEROI 相对于未经调整的 MEROI 就越低。对于无形资产密集型业务而言,这种差异大到足以重塑人们对业务基本经济逻辑的理解。

The difference between the unadjusted and the adjusted MEROI is a function of what percentage of SG&A is reclassified and the assigned amortization period. (See the appendix for a more detailed discussion.) If no SG&A is considered to be an investment, no adjustments are necessary. The higher the percentage of SG&A that is capitalized, the lower the adjusted MEROI is relative to the unadjusted MEROI. For intangible intensive businesses, this difference is substantial enough to reframe an understanding of the underlying economics of the business.

衡量回报的指标(ROE、ROIC、ROIIC、IRR)

Taking Measure of Measures of Return (ROE, ROIC, ROIIC, IRR)

MEROI 是一种准确但颇为复杂的计算企业预期回报的方法。问题是,它与其他更主流的回报衡量指标相比表现如何。这些指标包括净资产收益率(ROE)、投入资本回报率(ROIC)、增量投入资本回报率(ROIIC)以及内部收益率(IRR)。

MEROI is an accurate, if involved, calculation of expected returns for a business. The question is how it stacks up to other more mainstream measures of returns. These include return on equity (ROE), return on invested capital (ROIC), return on incremental invested capital (ROIIC), and internal rate of return (IRR).

净资产收益率(ROE,即净利润除以股东权益),因无形资产的增长而被严重扭曲。净利润从来就不可靠,因为管理层在公认会计原则框架内报告费用时拥有相当大的自由裁量权。股东权益也因会计的反复无常(包括股票回购)而失去了相关性。例如,家得宝在 2020 财年末的股东权益为负 31 亿美元,正是该公司股票回购计划的结果。

ROE, defined as net income divided by shareholders’ equity, is massively distorted by the rise of intangibles. Net income has always been unreliable because of the considerable discretion management has in reporting expenses within accepted accounting principles. Shareholders’ equity has also lost relevance because of the vagaries of accounting, including share repurchases. For instance, Home Depot’s shareholders’ equity was negative $3.1 billion at the end of fiscal 2020 as the result of the company’s share buyback program.

净资产收益率还有一个缺陷:它不是融资中性的。公司资本结构的变化会影响净资产收益率的水平。考虑到所有这些局限性,净资产收益率充其量只是一个非常粗略的投资回报指标。此外,针对无形资产进行调整,并不能简单一致地改善这一衡量标准。

ROE has an additional flaw in that it is not financing neutral. Changes in a company’s capital structure can influence the level of ROE. After considering all of these limitations, ROE is at best a very crude indicator of returns on investment. Further, adjusting for intangibles does not provide a simple and consistent improvement in the measure.16

ROIC,即投入资本回报率(NOPAT 除以投入资本),是朝着正确方向迈出的一步,也是会计指标中最好的之一,因为它的分子定义合理。¹⁷ 这个概念由来已久。

ROIC, which is NOPAT divided by invested capital, is a step in the correct direction and is one of the best of the accounting measures because it has a sound numerator.17 The concept has been around for a long time.

例如,通用汽车在一个多世纪前就用过某种版本的 ROIC。

For example, General Motors used a version of ROIC more than a century ago. 18

税后营业利润(NOPAT)和投入资本不受财务杠杆的影响。然而,当无形资产投资转化为资产负债表上的资产时,税后营业利润和投入资本都会发生显著变化。

NOPAT and invested capital are unaffected by financial leverage. However, both NOPAT and invested capital change substantially as intangible investments are converted to assets on the balance sheet.

我们回到微软的例子。我们已经看到,调整后 NOPAT 从 480 亿美元升至 550 亿美元。投入资本从 960 亿美元增至 1740 亿美元。¹⁹ 结果,平均投入资本回报率从调整前的 52%(480 亿美元 / 890 亿与 960 亿美元的平均值)降至调整后的 33%(550 亿美元 / 1600 亿与 1740 亿美元的平均值)。图表 12 展示了这些数字随时间变化的差异。正如调整后的 MEROI 更低,调整后的 ROIC 也同样更低。

Let’s go back to our example of Microsoft. We have already seen that the adjustments lift NOPAT from $48 to $55 billion. The invested capital goes from $96 to $174 billion.19 As a result, the return on average invested capital goes from 52 percent ($48 billion / average of $89 billion and $96 billion) when unadjusted to 33 percent ($55 billion / average of $160 billion and $174 billion) when adjusted. Exhibit 12 shows the difference between these figures over time. Just as MEROI is lower after making adjustments, so is ROIC.

表 12:调整前后平均投入资本回报率(2001—2020 年)

Exhibit 12: Return on Average Invested Capital With and Without Adjustments, 2001-2020 600

500

500

400

400

Percent 300 ROIC

Percent 300 ROIC

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
100
   Adjusted ROIC
  0
   2001   2002   2003   2004   2005   2006   2007   2008   2009   2010   2011   2012   2013   2014   2015   2016   2017   2018   2019   2020
200
100
   Adjusted ROIC
  0
   2001   2002   2003   2004   2005   2006   2007   2008   2009   2010   2011   2012   2013   2014   2015   2016   2017   2018   2019   2020

资料来源:微软公司与康特波因特全球公司

Source: Microsoft and Counterpoint Global.

注:已投入资本取当年与上年的平均值。

Note: Invested capital is the average of the current and prior year.

投资回报率(ROIC)与估值产生关联的主要途径是通过剩余收益模型(residual income model),该模型将公司价值计算为投入资本加上经济利润(economic profit)的现值。经济利润的定义如下:

The primary way that ROIC is linked to valuation is through a residual income model, which calculates corporate value as invested capital plus the present value of economic profit. Economic profit is defined as follows:

经济利润 = (投入资本回报率 - 资本成本) × 投入资本

Economic profit = (ROIC - cost of capital) x invested capital

剩余收益的概念也由来已久。20 世纪 90 年代,咨询公司斯特恩·斯图尔特(Stern Stewart & Company)通过经济增加值(EVA™)推广了这一理念。EVA 的主要贡献是引入了一系列对投入资本的调整,旨在更准确地反映企业实际投入的资本。

The concept of residual income is also old.20 In the 1990s, Stern Stewart & Company, the consulting firm, popularized the idea through Economic Value Added (EVA™).21 The main contribution of EVA is the introduction of a slew of adjustments to invested capital in an attempt to more accurately reflect the capital invested in the business.

在其他条件相同的情况下,较高的投入资本回报率(ROIC)比低的要好。但正如我们已经看到的,如果未能考虑无形资产投资,就可能导致扭曲甚至荒谬的 ROIC 数值。

All things being equal, a higher ROIC is better than a lower one. But as we have seen, a failure to account for intangible investment can lead to distorted, or even nonsensical, ROICs.

关于投资资本回报率(ROIC)与估值,有几个要点值得思考。首先,基于自由现金流和经济利润的模型会得出完全相同的估值。图 13 的上半部分与图 1 完全一致,而下半部分则是一个经济利润模型。它们之所以得出相同的估值,是因为具有相同的现金流。

There are a couple of points to consider with ROIC and valuation. First, models based on free cash flow and economic profit yield identical values. The top panel of exhibit 13 is identical to exhibit 1, and the bottom panel is an economic profit model. They come to the same value because they have the same cash flows.

然而,价值分配却有所不同。第一种模型符合 M&M 公式,通过指定稳态价值和 PVGO(未来价值创造的衡量指标)来呈现。经济利润模型则没有如此清晰地将价值组成部分分开。

However, the allocation of value is different. The first model is consistent with the M&M formula by specifying the steady-state value and the PVGO, a measure of future value creation. The economic profit model does not separate the components of value as neatly.

例如,起始资本可以是任何数字,且不影响企业价值。我们在表 13 中使用了 1000 美元,但换成任何数字都不改变企业价值。对于一组给定的未来现金流,一家公司可能因起始资本数字较小而显示出巨大的价值创造,另一家则可能因起始资本总额较大而反映出巨额的价值毁灭。只有当起始资本恰好等于稳态价值时,自由现金流模型与经济利润模型对企业价值的分配才是一致的。这种情况极为罕见。

For example, beginning capital can be any number without affecting corporate value. We use $1,000 in exhibit 13, but we could have plugged in any number and not changed corporate value. For a given set of future cash flows, one company might show substantial value creation because of a modest beginning capital figure and another might reflect large value destruction as the result of a large beginning capital total. The allocation of corporate value is the same for a free cash flow and economic profit model only if the beginning capital happens to be identical to the steady-state value. This is very rarely the case.

表 13:自由现金流与经济利润模型的等价关系

Exhibit 13: Equivalence of Free Cash Flow and Economic Profit Models

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。

自由现金流模型
年份    1      2      3      4      5      6      7      8      9      10     11
NOPAT   100.0  108.0  116.6  126.0  136.0  146.9  158.7  171.4  185.1  199.9  215.9
投资         32.0   34.6   37.3   40.3   43.5   47.0   50.8   54.8   59.2   64.0
自由现金流   68.0   73.4   79.3   85.7   92.5   99.9  107.9  116.5  125.9  135.9
自由现金流折现值 63.6   64.1   64.7   65.3   66.0   66.6   67.2   67.8   68.5   69.1
Free cash flow model
Year   1   2   3   4   5   6   7   8   9   10   11
NOPAT   100.0   108.0   116.6   126.0   136.0   146.9   158.7   171.4   185.1   199.9   215.9
Investment   32.0   34.6   37.3   40.3   43.5   47.0   50.8   54.8   59.2   64.0
Free cash flow   68.0   73.4   79.3   85.7   92.5   99.9   107.9   116.5   125.9   135.9
PV of free cash flow   63.6   64.1   64.7   65.3   66.0   66.6   67.2   67.8   68.5   69.1

经营自由现金流的现值之和:662.9

S PV of free cash flow 662.9

Continuing value 3,084.2

Continuing value 3,084.2

S 自由现金流现值 6.629 亿美元 持续价值现值 15.678 亿美元

S PV of free cash flow 662.9 PV of continuing value 1,567.8

Corporate value 2,230.8

Corporate value 2,230.8

年初资本投资 32.0 37.3 税后净营业利润1 2 34.63 4 40.35 6 43.51,000.0 1,032.0 1,066.6 1,103.9 1,144.2 1,187.7 1,234.7 1,285.5 1,340.4 1,399.6 1,463.6 47.0 50.8 100.0 108.0 116.6 126.0 136.0 146.9 158.7 171.4 185.1 199.9 215.97 8 54.89 10 59.264.011
资本费用70.072.274.777.380.183.186.490.093.898.0
经济利润30.035.842.048.756.063.872.381.491.3101.9
经济利润现值28.031.234.337.239.942.545.047.449.651.8
经济利润现值28.059.393.5130.7170.6213.1258.1305.5355.1406.9
持续价值1,620.6
经济利润现值406.9
持续价值现值823.8
加:期初资本1,000.0
公司价值2,230.8
Year Beginning capital Investment 32.0 37.3 NOPAT1 2 34.63 4 40.35 6 43.51,000.0 1,032.0 1,066.6 1,103.9 1,144.2 1,187.7 1,234.7 1,285.5 1,340.4 1,399.6 1,463.6 47.0 50.8 100.0 108.0 116.6 126.0 136.0 146.9 158.7 171.4 185.1 199.9 215.97 8 54.89 10 59.264.011
Capital charge70.072.274.777.380.183.186.490.093.898.0
Economic profit30.035.842.048.756.063.872.381.491.3101.9
PV of EP28.031.234.337.239.942.545.047.449.651.8
S PV of economic profit28.059.393.5130.7170.6213.1258.1305.5355.1406.9
Continuing value1,620.6
S PV of economic profit406.9
PV of continuing value823.8
Plus: Beginning capital1,000.0
Corporate value2,230.8

Continuing value 1,620.6

Continuing value 1,620.6

经济利润现值 406.9

持续价值现值 823.8

加:期初资本 1,000.0

企业价值 2,230.8

S PV of economic profit 406.9 PV of continuing value 823.8 Plus: Beginning capital 1,000.0 Corporate value 2,230.8

来源:Counterpoint Global。

Source: Counterpoint Global.

备注:假设税后营业利润(NOPAT)年增长 8%,增量投入资本回报率(ROIIC)为 25%,资金成本为 7%;Σ 代表加总。

Note: Assumes 8% NOPAT growth, 25% ROIIC, and 7% cost of capital; Σ=sum of.

现在不少公司和投资者都在看 ROIIC(增量投入资本回报率),这个指标衡量的是从基年到第一年 NOPAT(税后营业利润)的变动额除以基年的投资额。举个例子,在表 1 中,从第 1 年到第 2 年 NOPAT 增加了 8 美元,第 1 年的投资是 32 美元,那么 ROIIC 就是 25%。单一年度的 ROIIC 可能波动较大,尤其对于那些投资支出节奏不均匀的公司。更稳妥的做法通常是看滚动三年或五年的 ROIIC,因为这类数据更稳定。

A number of companies and investors now look at ROIIC, which measures the change in NOPAT from the base year to year one divided by investment in the base year.22 For example, in exhibit 1 the change in NOPAT from year 1 to 2 is $8, the investment in year 1 is $32, and so ROIIC equals 25 percent. One-year ROIICs can be noisy, especially for companies that have an uneven pattern of investment spending. It often makes sense to use rolling three- or five-year ROIICs because they are more stable.

ROIIC 的吸引力在于它是增量指标,因此避免了沉没成本问题。而 ROIIC 的问题在于,它会高估那些收益率高于资本成本的企业的经济回报,同时低估那些收益率低于资本成本的企业的回报。随着竞争优势期(competitive advantage period,简称 CAP),即假设公司能在新投资上持续获得超额回报的时长,不断延长,这个问题会变得更加尖锐。CAP 是计算 PVGO 中的关键部分。

The allure of ROIIC is that it is incremental and therefore avoids the issue of sunk costs. The problem with ROIIC is that it overstates economic returns for businesses earning above the cost of capital and understates returns for those earning below the cost of capital. This problem becomes more acute as the competitive advantage period (CAP), the period it is assumed a company can generate excess returns on new investments, lengthens. CAP is an important part of the calculation of the PVGO.

如我们在定义 SVA 时所看到的,一家公司在特定年份创造的价值,来自它产生的现金流及其持续价值的变动。如果 SVA 是一只股票,你可以把现金流视为股息,把持续价值变动视为资本利得。ROIIC 之所以无法衡量经济回报,是因为它只捕捉到了股息这一部分。要解释预期,ROIIC 必须比 MEROI 有更大的波动性。

As we saw when we defined SVA, the value a company creates in a specific year comes from the cash flows it generates and the change in its continuing value. If SVA were a stock, you could think of the cash flows as the dividend and the change in continuing value as the capital gain. ROIIC fails to measure economic returns because it captures only the dividends. To explain expectations, ROIIC has to vary more than MEROI.

附件 14 量化了这一缺陷。各行是不同的资本配置期(CAP),各列是投资增量资本回报率(ROIIC)。我们假设税后营业利润(NOPAT)增长率为 8%,资本成本为 7%。表格主体内是与这些假设一致的 MEROI(市场预期回报率)。请注意,当 ROIIC 等于资本成本时,ROIIC 与 MEROI 相同。随着 ROIIC 上升,ROIIC 超过 MEROI 的幅度也在增大。该比率随假设的 CAP 变长而提高。最后,当 ROIIC 低于资本成本时,ROIIC 低于 MEROI。

Exhibit 14 quantifies this shortcoming. The rows are various CAPs and the columns are ROIICs. We assume eight percent NOPAT growth and a seven percent cost of capital. In the body are the MEROIs that are consistent with the assumptions. Note that when the ROIIC is equal to the cost of capital, ROIIC and MEROI are the same. As ROIIC increases, the amount by which ROIIC exceeds MEROI grows. That ratio rises as the assumed CAP gets longer. Finally, when ROIIC is below the cost of capital, the ROIIC is lower than the MEROI.

表 14:不同增量投入资本回报率与竞争优势期下的 MEROI 增量投入资本回报率

Exhibit 14: MEROIs with Various ROIICs and Competitive Advantage Periods Return on Incremental Invested Capital

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。

持股比例5%7%15%25%50%
竞争优势期55.3%7.0%12.8%18.5%29.3%
105.4%7.0%11.8%16.2%24.0%
155.6%7.0%11.1%14.8%21.0%
   MEROI   5%   7%   15%   25%   50%
   5   5.3%   7.0%   12.8%   18.5%   29.3%
Competitive
Advantage   10   5.4%   7.0%   11.8%   16.2%   24.0%
  Period
   15   5.6%   7.0%   11.1%   14.8%   21.0%

(Years)

(Years)

20 5.7% 7.0% 10.6% 13.7% 19.0% MEROI:市场预期投资回报率 来源:Counterpoint Global

20 5.7% 7.0% 10.6% 13.7% 19.0% MEROI: Market-expected return on investment Source: Counterpoint Global.

注:假设税后净营业利润(NOPAT)增长率为 8%,资本成本为 7%。

Note: Assumes 8% NOPAT growth and a 7% cost of capital.

内部收益率(IRR)依然是一种非常流行的回报衡量指标,但却充满局限性。²³ IRR(将未来现金流贴现到当前投资支出所对应的折现率)在只有一笔现金流出和一笔现金流入时表现良好。但一旦出现中期现金流,这个指标很快就会变得具有误导性。

Internal rate of return (IRR) remains a very popular measure of return yet is fraught with limitations.23 IRR, the discount rate that equates future cash flow to current investment outlay, works well when there is one outflow and one inflow. But the measure quickly becomes misleading when there are interim cash flows.

最好的说明方式是用一个简单例子。展表 15 的 A 栏显示,第零年投入 75 美元,第五年收回 185.5 美元,内部收益率为 20%。在这种情况下,内部收益率是一个合理的衡量指标。

The best way to illustrate this is with a simple example. Panel A of exhibit 15 shows an investment of $75 in year zero and a return of $185.5 in year 5 for an IRR of 20 percent. In this case, IRR is a reasonable measure.

小组 B 展示了同样的 7500 万美元的资本流出,但每年的现金流为 25 美元,持续 5 年。这同样可以解出 20% 的内部收益率。如果在现实中你收到了这些中间现金流,你需要将它们按内部收益率进行再投资,才能在第五年获得 185.5 美元。

Panel B shows the same $75 million outflow but with annual cash flows of $25 per year for 5 years. That, too, solves for an IRR of 20 percent. If you were to receive those interim cash flows in reality, you would need to reinvest them at the IRR in order to get $185.5 in year 5.24

附件 15:内部收益率(IRR)的局限性

Exhibit 15: The Limitation of Internal Rate of Return (IRR)

A. 简单 IRR(一次流出,一次流入)

A. Simple IRR (One Outflow, One Inflow)

年份012345
现金流-75.00.00.00.00.0185.5

IRR = 20%

B. 含年度现金流入的 IRR

年份012345
现金流-75.025.025.025.025.025.0

IRR = 20%

Year   0   1   2   3   4   5
   -75.0   0.0   0.0   0.0   0.0   185.5
IRR = 20%
B. IRR with Annual Inflows
Year   0   1   2   3   4   5
   -75.0   25.0   25.0   25.0   25.0   25.0
IRR = 20%

C. 假设年度现金流入按资本成本赚取的内部收益率 第 0 年 第 1 年 第 2 年 第 3 年 第 4 年 第 5 年 -75.0 0.0 0.0 0.0 0.0 143.8 内部收益率 = 14% 来源:Counterpoint Global。

C. IRR Assuming Annual Inflows Earn the Cost of Capital Year 0 1 2 3 4 5 -75.0 0.0 0.0 0.0 0.0 143.8 IRR = 14% Source: Counterpoint Global.

方案 C 做了更合理的假设,认为期间现金流按 7% 的资本成本进行再投资。因此,最终总额不是 185.5 美元,而是 143.8 美元。这将内部收益率降至 14%。

Panel C makes the more sensible assumption that the interim cash flows are reinvested at the cost of capital of 7 percent. So rather than ending up with $185.5, the new sum is $143.8. This drops the IRR to 14 percent.

评估企业资本回报率远比衡量单笔资金流出与流入更具挑战性。企业通常持续进行投资。MEROI 在原理上更接近修正后的内部收益率法——投资资金流出按资本成本折现,资金流入则按使两者现值相等的折现率进行折现。25 学术界已开发出比传统会计结果更精准的回报率指标。26 MEROI 区别于其他所有指标的特质在于:它是基于公司股价所反映的全部投资与现金流预期估算得出的。

Assessing the corporate rate of return is a great deal more challenging than measuring a single outflow and a single inflow. Companies generally make investments continually. MEROI is closer in principle to modified IRR, where investment outflows are discounted at the cost of capital and inflows are discounted at the rate that equates their present value to the present value of the outflows. 25 Academics have developed return metrics that are more accurate than those based on traditional accounting results.26 What sets MEROI apart from all of the other measures is that it is an estimate based on the expectations for all of the investments and cash flows reflected in a company’s stock price.

Conclusion

Conclusion

投资者在市场对未来现金流的预期发生修正之前买入公司股票,就能获得超额回报。现金流的一个关键决定因素是公司能否将资本配置到能创造价值的投资上。现行的会计准则在区分投资与费用方面做得很差,这就像一层面纱,掩盖了投资的规模与回报。作为高管或投资者,一项关键工作就是调整财务报表,拨开这层面纱,看清企业的经济实质。

Investors generate excess returns when they buy the shares of companies prior to a revision in expectations about future cash flows. A key determinant of cash flows is a company’s ability to allocate capital to investments that create value. The current principles of accounting do a poor job of separating investments and expenses, creating a veil that obscures the magnitude and return on investment.27 A key job as an executive or investor is to adjust financial statements so as to lift the veil and understand the economics of the business.

这份报告填补了会计与估值之间的空白,它定义了 MEROI,提供了如何将 SG&A 费用拆分为投资和支出的指导,并回顾了热门回报衡量指标的局限性。当然,这些都不会改变一家公司的现金流,但厘清投资与投资回报,为评估市场预期提供了可靠基础。

This report fills the gap between accounting and valuation by defining MEROI, providing guidance about how to separate SG&A costs into investment and expenses, and reviewing the limitations of popular measures of return. None of this changes a company’s cash flow, of course, but clarity into investment and return on investment provides a sound basis for assessing expectations.

过去几十年间,全球经济经历了深刻变革,如今对无形资产的投入已远超有形资产。但我们的财务报表和传统估值方法却难以捕捉这些变化。审慎的投资者会多走一步,去理解一只股票的价格中包含了怎样的预期,以及这家公司是否有可能兑现这些预期。

The global economy has undergone a substantial change in the past few decades, with intangible investments now dominating tangible ones. But our financial statements and traditional valuation techniques struggle to capture these changes. Thoughtful investors go the extra step to understand what expectations are priced into a stock and whether the company is likely to meet those expectations.

附录:销售管理费用资本化与边际运营资本回报率之间的相互作用

Appendix: Interaction Between SG&A Capitalization and MEROI

根据一种定义,“会计学旨在衡量一个组织的经济活动成果,并将这些信息传达给管理层、投资者、债权人、监管机构、消费者以及员工。”28 世界已经变了,无形资产投资变得比有形资产投资更重要,而会计准则却没跟上。结果就是经济现实与会计数据之间的差距越来越大。29

According to one definition, ‘[a]ccounting seeks to measure the results of an organization’s economic activities and convey this information to management, investors, creditors, regulatory agencies, consumers, and employees.”28 The world has changed, with intangible investments becoming more important than tangible ones, and the principles of accounting have not kept up. The result is a large and growing gap between economic reality and accounting results.29

这里我们展示的是,随着假设 SG&A 费用中分配给无形资产投资的比例上升,MEROI 受到的影响。为奠定基础,我们需要说明两点。

Here we show the impact on MEROI as the assumed percentage of SG&A allocated to intangible investment rises. To set the stage, we need to make two points.

首先,米勒和莫迪利亚尼确立了企业价值等于稳态价值加上增长机会的现值。稳态定义为基准年的税后营业净利润除以资本成本。当我们把无形资产投资资本化处理为一项资产时,就是把一项费用重新归类为投资。这意味着税后营业净利润和投资以完全相同的金额增加,自由现金流保持不变。

First, Miller and Modigliani established that corporate value equals steady-state value plus the present value of growth opportunities. The steady-state is defined as base year NOPAT divided by the cost of capital. When we capitalize intangible investments as an asset, we reclassify an expense as an investment. That means that the NOPAT and investment increase by the exact same amount, leaving free cash flow unchanged.

被资本化的费用越多,基准年度的税后净营业利润(NOPAT)就越高。由于公司价值不变,稳态价值上升,增长机会现值(PVGO)下降。换言之,如果一家依赖无形投资的公司决定不再追求创造价值的增长,其税后净营业利润(NOPAT)反而会上升。

The more expenses that are capitalized, the more that the base year NOPAT rises. Because corporate value doesn’t change, the steady-state value goes up and the PVGO goes down. In other words, if a company that relies on intangible investments decides it doesn’t want to pursue value-creating growth, its NOPAT will rise.

其次,我们依据标普 500 指数(剔除金融公司)的典型利润表来校准这个简单示例。假设销售额和 NOPAT 的年增长率为 6%,税率 20%,增量投入资本回报率(ROIIC)40%,资本成本 7%,摊销期 5 年,预测期限 10 年(参见图 16)。标普 500 指数的销售管理费用(SG&A)约占销售额的 20%。

Second, we calibrated our simple example to have an income statement similar to that of the S&P 500 (excluding financial companies). We assume 6 percent growth in sales and NOPAT, a 20 percent tax rate, 40 percent ROIIC, a 7 percent cost of capital, a 5-year amortization period, and a 10-year forecast horizon (see exhibit 16). SG&A for the S&P 500 is about 20 percent of sales.

表 16:销售及管理费用资本化模型中的假设条件

Exhibit 16: Assumptions in SG&A Capitalization Model

基线假设

销售额与税后营业利润(NOPAT)增长率 6.0%

销售成本占销售额比例 67.5%

销售、一般及管理费用(SG&A)占销售额比例 20.0%

税率 20.0%

增量投入资本回报率 40.0%

资本成本 7.0%

SG&A 年摊销率 20%(5 年)

Baseline Assumptions Sales and NOPAT growth 6.0% COGS as a percent of sales 67.5% SG&A as a percent of sales 20.0% Tax rate 20.0% Return on incremental invested capital 40.0% Cost of capital 7.0% SG&A annual amortization rate 20% (5 years)

竞争优势期 10 年

来源:Counterpoint Global

Competitive advantage period 10 years Source: Counterpoint Global.

注:NOPAT 指税后净营业利润;COGS 指销售成本;SG&A 指销售、一般及管理费用。

Note: NOPAT=net operating profit after taxes; COGS=cost of goods sold; SG&A=selling, general, and administrative costs.

大多数学术论文建议 SG&A 费用的资本化率约为 30%。30 在此参数下,30% 的资本化率得出的 MEROI 为 10%(见图表 17)。资本化率下降时,MEROI 上升;资本化率上升时,MEROI 则下降。这正是我们在微软案例中看到的情况。在此特定设定下,MEROI 等于资本成本的临界点,对应资本化 SG&A 费用约占 42%。

Most academic papers suggest an SG&A capitalization rate of about 30 percent. 30 Given these parameters, a 30 percent capitalization rate results in a 10 percent MEROI (see exhibit 17). As the percentage falls, MEROI rises. And as the percentage rises, MEROI falls. This is precisely what we saw with our Microsoft example. In this particular setup, MEROI equals the cost of capital at approximately 42 percent of capitalized SG&A.

表 17:销售、一般及管理费用资本化比例与 MEROI 之间的关系

Exhibit 17: Relationship Between Percentage of SG&A Capitalized and MEROI

SG&A 市场预期资本化投资回报率

Percent of SG&A Market-Expected Capitalized Return on Investment

SG&A资本化百分比市场预期投资回报
15%14.9%
20%13.1%
25%11.5%
30%10.0%
40%7.4%
45%6.3%
50%5.1%
Percent of SG&A CapitalizedMarket-Expected Return on Investment
15%14.9%
20%13.1%
25%11.5%
30%10.0%
40%7.4%
45%6.3%
50%5.1%

资料来源:Counterpoint Global。

Source: Counterpoint Global.

SG&A(销售、一般及管理费用)中可合理视为无形投资的比例存在天然上限。例如,投资机会是有限的,公司还必须花钱维持现有运营。此外,公司所处生命周期阶段也会影响投资与维持性支出的比例。

There is a natural limit on what percentage of SG&A can reasonably be assumed to be an intangible investment. For instance, investment opportunities are limited, and companies must spend money just to maintain their current operations. Further, where a company is in its life cycle also plays a role in the ratio of investment to maintenance spending.

尾注

阿尔弗雷德·拉帕波特,《创造股东价值:管理者与投资者指南(修订增补版)》

Endnotes 1 Alfred Rappaport, Creating Shareholder Value: A Guide for Managers and Investors–Revised and Updated

(纽约:自由出版社,1998 年),第 100-111 页。

(New York: Free Press, 1998), 100-111.

同上,103-109 页,以及迈克尔·J·莫布森和亚历山大·谢合著的《标尺在哪儿?引入市场——》

2 Ibid., 103-109 and Michael J. Mauboussin and Alexander Schay, “Where’s the Bar? Introducing Market-

“预期投资回报率(MEROI),”瑞士信贷第一波士顿银行:《金融前沿》,第 12 卷,2001 年 6 月 12 日。

Expected Return on Investment (MEROI),” Credit Suisse First Boston: Frontiers of Finance, Vol. 12, June 12, 2001.

迈克尔·莫布森和丹·卡拉汉著《唯一任务:预期与无形投资的作用》

3 Michael J. Mauboussin and Dan Callahan, “One Job: Expectations and the Role of Intangible Investments,”

Consilient Observer:反向点全球洞察,2020 年 9 月 15 日。

Consilient Observer: Counterpoint Global Insights, September 15, 2020.

4 默顿·H·米勒(Merton H. Miller)和弗兰科·莫迪利亚尼(Franco Modigliani),“股息政策、增长与股票估值”,《期刊》

4 Merton H. Miller and Franco Modigliani, “Dividend Policy, Growth, and the Valuation of Shares,” Journal of

商业,第 34 卷,第 4 期,1961 年 10 月,第 411-433 页。

Business, Vol. 34, No. 4, October 1961, 411-433.

5 Stewart C. Myers,“仍在寻找最优资本结构”,《应用公司金融杂志》,第

5 Stewart C. Myers, “Still Searching for Optimal Capital Structure,” Journal of Applied Corporate Finance, Vol.

6,第 1 号,1993 年春季,第 4-14 页。关于 2020 年初 24 家公司的稳态与未来增长细分,见 Bartley J. Madden,《价值创造原理:以目的为起点、以可持续资本主义为终点的实用企业理论》(新泽西州霍博肯:John Wiley & Sons,2020 年),第 101 页。

6, No. 1, Spring 1993, 4-14. For a breakdown of steady state versus future growth for 24 companies from early 2020, see Bartley J. Madden, Value Creation Principles: The Pragmatic Theory of the Firm Begins with Purpose and Ends with Sustainable Capitalism (Hoboken, NJ: John Wiley & Sons, 2020), 101.

我们使用永续假设来估算持续价值。对此有不同的处理方法。对于

6 We use a perpetuity assumption to estimate the continuing value. There are alternative ways to do so. For

例如,参见蒂姆·科勒、马克·戈德哈特与戴维·韦塞尔斯合著的《估值:公司价值的衡量与管理》第七版(新泽西州霍博肯:约翰·威利父子出版公司,2020 年),第 299–317 页。

example, see Tim Koller, Mark Goedhart, and David Wessels, Valuation: Measuring and Managing the Value of Companies–Seventh Edition (Hoboken, NJ: John Wiley & Sons, 2020), 299-317.

7 Rappaport, 49-51.

7 Rappaport, 49-51.

迈克尔·J·莫布森与阿尔弗雷德·拉帕波特,《预期投资:解读股价以求更好》

8 Michael J. Mauboussin and Alfred Rappaport, Expectations Investing: Reading Stock Prices for Better

回报率——修订与更新(纽约:哥伦比亚商学院出版社,2021 年)。

Returns–Revised and Updated (New York: Columbia Business School Publishing, 2021).

巴鲁克·莱夫,《无形资产:管理、衡量与报告》(华盛顿特区:布鲁金斯学会,

9 Baruch Lev, Intangibles: Management, Measurement, and Reporting (Washington, DC: Brookings Institution,

2001);约翰·汉德与巴鲁赫·列夫编,《无形资产:价值、衡量与风险》(纽约:牛津大学出版社,2003 年);卡罗尔·A·科拉多、查尔斯·赫尔滕与丹尼尔·西歇尔,《衡量资本与技术:一个扩展框架》,载于卡罗尔·A·科拉多、约翰·哈尔蒂万格与丹尼尔·西歇尔编。

2001); John Hand and Baruch Lev, eds., Intangible Assets: Values, Measures, and Risks (New York: Oxford University Press, 2003); 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.

《新经济中的资本测量》(芝加哥:芝加哥大学出版社,2005 年);Carol A. Corrado、Charles Hulten 和 Daniel Sichel,“无形资本与美国经济增长”,《收入与财富评论》,第 55 卷第 3 期,2009 年 9 月,第 661-685 页;以及 Carol Corrado 在 www.wilsoncenter.org/sites/default/files/media/documents/event/Corrado%20Presentation.pdf 上的演示文稿。

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; and presentation by Carol Corrado available at www.wilsoncenter.org/sites/default/files/media/documents/event/Corrado%20Presentation.pdf.

10 卢米尼塔·埃纳凯与阿努普·斯里瓦斯塔瓦合著,《无形资产投资应单独列报还是》

10 Luminita Enache and Anup Srivastava, “Should Intangible Investments Be Reported Separately or

与营业费用混在一起?新证据”,《管理科学》,第 64 卷,第 7 期,2018 年 7 月,3446-3468 页。

Commingled with Operating Expenses? New Evidence,” Management Science, Vol. 64, No. 7, July 2018, 3446-3468.

阿米塔布·杜加尔和雅各布·波扎尔尼,《无形资产时代的股权投资》,《金融分析师杂志》,

11 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.

请注意,从 2002 年 7 月 1 日至今,股东总回报率超过了 9.5%。

12 Note that the total shareholder return was in excess of 9.5 percent from July 1, 2002 until now. That is

因为该模型仅在 17 年内识别出创造价值的投资,之后便假设增量投资仅能赚取资本成本。在这段时间里,微软显然会在原定期限之外继续创造价值,这等同于对预期进行了上调。13 查尔斯·R·赫尔滕,《解码微软:无形资本作为公司增长的源泉》,美国国家经济研究局

because the model only recognized value creating investments for 17 years, after which it assumed that incremental investments would earn the cost of capital. Over this time, it has become clear that Microsoft would create value beyond the original period, which is tantamount to an upward revision in expectations. 13 Charles R. Hulten, “Decoding Microsoft: Intangible Capital as a Source of Company Growth,” NBER

工作论文编号 15799,2010 年 3 月。关于费用支出,Hulten 写道:“参照 CHS(Corrado, Hulten, Sichel)及宏观研究的总体指引,结合该公司的高科技特性进行调整后,所选比例分别为 100%(研发费用)、70%(销售与市场费用)和 20%(管理费用)。”对于摊销期限,我们遵循由 Carol Corrado(一位对此项研究贡献卓著的经济学家)与 Hulten 共同撰写论文中的指引。研发费用的摊销期为 6 年,销售与市场费用和管理费用均为 2 年。参见 Carol A. Corrado 与 Charles R. Hulten,“创新核算”,载于 Dale W. Jorgenson, J. Steven Landefeld 与 Paul Schreyer 主编,《衡量经济可持续性与进步》(芝加哥:芝加哥大学出版社,2014 年),第 614 页。

Working Paper 15799, March 2010. For expenses, Hulten writes, “Following the general guidance of the CHS [Corrado, Hulten, Sichel] and macro research, adjusted to reflect the high-technology nature of the company, the fractions selected were 100 percent (R&D), 70 percent (S&M), and 20 percent (G&A).” For the period of amortization, we follow the guidelines in a paper by Carol Corrado, an economist who has contributed substantially to this research, and Hulten. The amortization period is six years for R&D and two years for both S&M and G&A. See Carol A. Corrado and Charles R. Hulten, “Innovation Accounting,” in Dale W. Jorgenson, J. Steven Landefeld, and Paul Schreyer, eds., Measuring Economic Sustainability and Progress (Chicago: University of Chicago Press, 2014), 614.

14 注意,两个模型中对 2021 财年的 NOPAT 假设是相同的。这说得通,因为我们

14 Note that the NOPAT assumption for fiscal 2021 is the same in both models. That makes sense because we

我们希望获得一个稳态水平的 NOPAT,且假设该利润没有任何投资回报。无论我们是否进行调整,这个数字都是一样的。

want a steady-state level of NOPAT that assumes no return on investment. That figure is the same whether or not we make adjustments.

拉吉夫·D·班克、荣·黄、拉姆·纳塔拉詹和莎·赵合著的《无形资产的估值:

15 Rajiv D. Banker, Rong Huang, Ram Natarajan, and Sha Zhao, “Market Valuation of Intangible Asset:

关于销售及管理费用支出的证据”,《会计评论》,第 94 卷,第 6 期,2019 年 11 月,第 61-90 页;尼古拉斯·克鲁泽

Evidence on SG&A Expenditure,” Accounting Review, Vol. 94, No. 6, November 2019, 61-90; Nicolas Crouzet

以及 Janice C. Eberly 的“理解疲弱的资本投资:市场集中度与无形资产的作用”,NBER 工作论文 25869,2019 年 5 月;以及 Matthias Regier 和 Ethan Rouen 的“人力资本创造的股票市场估值”,哈佛商学院工作论文 21-047,2020 年 10 月 2 日。

and Janice C. Eberly, “Understanding Weak Capital Investment: The Role of Market Concentration and Intangibles,” NBER Working Paper 25869, May 2019; and Matthias Regier and Ethan Rouen, “The Stock Market Valuation of Human Capital Creation,” Harvard Business School Working Paper 21-047, October 2, 2020.

16 巴鲁克·列夫与冯谷,《会计的终结:投资者与管理者的未来之路》

16 Baruch Lev and Feng Gu, The End of Accounting and the Path Forward for Investors and Managers

(霍博肯,新泽西州:约翰·威利父子出版公司,2016 年),第 84-86 页。

(Hoboken, NJ: John Wiley & Sons, 2016), 84-86.

17 NOPAT 是营业收入减去该收入应承担的现金税。投入资本可以

17 NOPAT is operating income minus the cash taxes attributable to that income. Invested capital can be

从资产负债表左边或右边计算均可。从左边看,它是流动资产减去不计息流动负债,再加上净不动产、厂房和设备、商誉、无形资产以及任何其他经营性资产。从右边看,它是总债务加上权益再加上权益等值项,其中包括递延所得税等项目。

calculated from the left or right side of the balance sheet. From the left side it is current assets minus non-interest-bearing current liabilities, plus net property, plant, and equipment, goodwill, intangible assets, and any other operating assets. From the right side it is total debt plus equity plus equity equivalents, which includes items such as deferred taxes.

18 小阿尔弗雷德·P·斯隆,《我在通用汽车的岁月》(纽约:Doubleday & Company,1964 年)。

18 Alfred P. Sloan Jr., My Years With General Motors (New York: Doubleday & Company, 1964).

19 我们假设必需现金等于销售额的 2%。

19 We assume that necessary cash equals two percent of sales.

20 大卫·所罗门斯,《分部绩效:衡量与控制》(纽约:财务高管

20 David Solomons, Divisional Performance: Measurement and Control (New York: Financial Executives

Research Foundation, 1965), 60-71.

Research Foundation, 1965), 60-71.

21 G. 贝内特·斯图尔特,《追求价值:高级管理者指南》(纽约:哈珀柯林斯出版社)

21 G. Bennett Stewart, The Quest for Value: A Guide for Senior Managers (New York: HarperCollins

Publishers, 1991).

Publishers, 1991).

22 例如,参见 John Huber,“计算增量资本投资的回报率”,Saber Capital

22 For example, see John Huber, “Calculating the Return on Incremental Capital Investments,” Saber Capital

管理层,2016 年 6 月 6 日,以及麦当劳公司,10-K 表格,2020 年 12 月 31 日。

Management, June 6, 2016 and McDonald’s Corporation, Form 10-K, December 31, 2020.

约翰·C·凯莱赫和贾斯汀·J·麦科马克,《内部收益率:一个警示故事》,麦肯锡

23 John C. Kelleher and Justin J. MacCormack, “Internal Rate of Return: A Cautionary Tale,” McKinsey

季度,2004 年 8 月;霍华德·马克斯,“你不能吃掉 IRR”,橡树资本管理备忘录,2006 年 7 月 12 日;卢多维奇·法利普,“使用 IRR 衡量业绩的危险:以私募股权为例”

Quarterly, August 2004; Howard Marks, “You Can’t Eat IRR,” Oaktree Capital Management Memo, July 12, 2006; Ludovic Phalippou, “The Hazards of Using IRR to Measure Performance: The Case of Private Equity,”

SSRN 工作论文,2009 年 9 月 23 日;以及 Victoria Ivashina 和 Josh Lerner 合著的《耐心资本:长期投资的挑战与前景》(普林斯顿,新泽西州:普林斯顿大学出版社,2019 年),第 48-50 页。 24 25*(1+.2)4 + 25*(1+.2)3 + 25*(1+.2)2 + 25*(1+.2)1 + 25 = $185.5 25 “何时以及如何使用 NPV、IRR 和修正 IRR”,世界银行交通说明第 TRN-6 号,1 月

SSRN Working Paper, September 23, 2009; and Victoria Ivashina and Josh Lerner, Patient Capital: The Challenges and Promises of Long-Term Investing (Princeton, NJ: Princeton University Press, 2019), 48-50. 24 25*(1+.2)4 + 25*(1+.2)3 + 25*(1+.2)2 + 25*(1+.2)1 + 25 = $185.5 25 “When and How to Use NPV, IRR, and Modified IRR,” World Bank Transportation Note No. TRN-6, January

2005.

2005.

希瓦拉姆·拉贾戈帕尔、阿努普·斯里瓦斯塔瓦和荣·赵合著,《数字科技公司是否赚取了超额利润?》

26 Shivaram Rajgopal, Anup Srivastava, and Rong Zhao, “Do Digital Technology Firms Earn Excess Profits?

《另一种视角》,工作论文,2021 年 3 月 12 日。

An Alternative Perspective,” Working Paper, March 12, 2021.

27 希瓦拉姆·拉贾戈帕尔,《网络企业的新财务报告模型应该是什么样子?》

27 Shivaram Rajgopal, “What Would A New Financial Reporting Model For Network Businesses Look Like?”

《福布斯》,2021 年 4 月 12 日,以及希瓦·拉杰戈帕尔,“将实践融入会计研究”,《管理科学》,即将出版。

Forbes, April 12, 2021 and Shiva Rajgopal, “Integrating Practice into Accounting Research,” Management Science, forthcoming.

28 “什么是会计?”华盛顿大学福斯特商学院。见

28 “What is Accounting?” Foster School of Business at the University of Washington. See

https://foster.uw.edu/faculty-research/academic-departments/accounting/ 29 Baruch Lev,“财务报告信息日渐衰退的实用价值及其扭转之道”

https://foster.uw.edu/faculty-research/academic-departments/accounting/ 29 Baruch Lev, “The Deteriorating Usefulness of Financial Report Information and How to Reverse It,”

《会计与商业研究》,第 48 卷,第 5 期,2018 年,第 465-493 页;以及莱夫与顾撰写的《会计的终结》。迈克尔·尤恩斯、瑞安·H·彼得斯、肖恩·王合著《收购价格与无形资产的计量》

Accounting and Business Research, Vol. 48, No. 5, 2018, 465-493 and Lev and Gu, The End of Accounting. 30 Michael Ewens, Ryan H. Peters, and Sean Wang, “Acquisition Prices and the Measurement of Intangible

资本," NBER 工作论文 25960,2019 年 6 月。

Capital,” NBER Working Paper 25960, June 2019.

术语定义

DEFINITIONS OF TERMS

持续价值(也称残值或终值),是指在预期增长趋于稳定时点之后所有未来现金流的总价值。

The continuing (also residual or terminal) value is the value of all future cash flows at the point of time in which growth is expected to become stable.

资本成本是你为了确定当前价值而用来折现未来现金流的那个比率。加权平均资本成本则将各资本来源(通常是债务或股权)的机会成本与这些来源的相对贡献结合在一起。

The cost of capital is the rate at which you discount future cash flows in order to determine the value today. The weighted average cost of capital blends the opportunity cost of the sources of capital, typically debt or equity, with the relative contribution of those sources.

折现率是你为了确定当前价值而用来折现未来现金流的那个比率。

The discount rate is the rate at which you discount future cash flows in order to determine the value today.

自由现金流(FCF)是一项财务业绩指标,计算方法为税后净营业利润(NOPAT)减去增长投资。FCF 代表一家公司在支付维持或扩张其资产基础所需的资金之后,能够产生的现金。

Free cash flow (FCF) is a measure of financial performance calculated as net operating profit after taxes (NOPAT) minus investment in growth. FCF represents the cash that a company is able generate after laying out the money required to maintain or expand its asset base.

净现值是估计的未来现金流折现回当前的价值的衡量指标。

Net present value is a measure of the value of estimated future cash flows discounted back to the present.

投入资本回报率代表一家公司对其投入业务的现金所获得的回报率。

Return on invested capital represents the rate of return a company makes on the cash it invests in its business.

投资回报率是一项绩效衡量指标,用于评估某项投资的效率,或比较不同投资的效率。

Return on investment is a performance measure used to evaluate the efficiency of an investment or to compare the efficiency of a number of different investments.

罗素 3000® 指数衡量美国最大的 3000 家公司的表现,这些公司约占美国可投资权益市场的 98%。罗素 3000 指数的构建旨在提供广泛市场的全面、无偏且稳定的指标,并且每年完全重新调整一次,以确保新上市和成长中的股票得以反映。

The Russell 3000® Index measures the performance of the largest 3,000 U.S. companies representing approximately 98% of the investable U.S. equity market. The Russell 3000 Index is constructed to provide a comprehensive, unbiased, and stable barometer of the broad market and is completely reconstituted annually to ensure new and growing equities are reflected.

标普 500® 指数衡量美国权益市场中大盘股板块的表现,覆盖约 80% 的美国权益市场。该指数包含美国经济领先行业的 500 家领先公司。

The S&P 500® measures the performance of the large cap segment of the U.S. equities market, covering approximately 80% of the U.S. equities market. The index includes 500 leading companies in leading industries of the U.S. economy.