关于股息与回购的思考:澄清常见误解
GLOBAL FINANCIAL STRATEGIES www.credit-suisse.com
GLOBAL FINANCIAL STRATEGIES www.credit-suisse.com
关于股息与回购的思考 —— 澄清一些常见误解 2016 年 5 月 3 日
Thoughts on Dividends and Buybacks Clearing Up Some Common Misconceptions May 3, 2016
作者 120 家标普 500 公司 110 迈克尔·J·莫布森 100
Authors 120 S&P 500 Companies 110 Michael J. Mauboussin 100
90 80 丹·卡拉汉,特许金融分析师 70 数量
90 80 Dan Callahan, CFA 70 Number
丹尼尔·卡拉汉 [email protected] 60 达留什·马杰德 50
[email protected] 60 Darius Majd 50
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。
40 30 20 10 0 0 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 >10
40 30 20 10 0 0 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 >10
总股东收益率(百分比)
Total Shareholder Yield (Percent)
来源:FactSet 与瑞士信贷。
Source: FactSet and Credit Suisse.
“我们的研究为股票收益的总分红(股息加回购)模型提供了理论与实证证据。”
“Our study provides theoretical and empirical evidence for a total payout (dividends plus buybacks) model of stock returns.”
菲利普·U·斯特拉尔与罗杰·G·伊博森¹
Philip U. Straehl and Roger G. Ibbotson1
有一种传统观念认为股息随着时间的推移对资本积累至关重要,但这种观念是错误的。
The conventional wisdom that dividends make a crucial contribution to accumulated capital over time is wrong.
极少有投资者实际获得总股东收益率,因为要做到这一点,他们必须将所有股息全部再投资。
Very few investors actually earn the total shareholder return because it demands that they fully reinvest all dividends.
你经常听到有人抱怨公司以过高的价格回购股票,从而“破坏股东价值”或“浪费金钱”。
You commonly hear complaints that companies buy back stock at prices that are too high and thus “destroy shareholder value” or “waste money.”
这种评价过于简单化,混淆了两个问题。
This is a simplistic assessment that confuses two issues.
回购存在价值守恒原则。公司价值按其支出的资本金额而下降。以高于或低于内在价值的价格回购股份,会产生盈亏相抵的效果。
There is a value conservation principle associated with buybacks. The value of a firm declines by the amount of capital it disburses. Buying back shares that are over- or undervalued creates offsetting winners and losers.
如果你持有一家正在回购股票的公司股份,那么什么都不做,本身就是一种行动。这个行动就是增加你的持股比例。
If you own the shares of a company buying back stock, doing nothing is doing something. That something is increasing your percentage ownership.
Introduction
Introduction
一家公司的价值取决于其在存续期内支付给所有者的现金。公司可以通过股息、股份回购或整体出售公司变现,将资本返还给股东。归根结底,价值归结为到手的现金。实证证据支持这一理论。
The value of a company is determined by the cash that it pays to its owners over its life. A firm can return capital to shareholders through dividends, share buybacks, or by selling the company for cash. Ultimately, value boils down to cash in the pocket. Empirical evidence supports the theory.
有能力支付股息或回购股票的公司,必须将这些选择与将资金再投资于业务进行比较。其理念是,一个有吸引力的内部投资项目将使公司未来能够返还更多资金(经风险与通胀调整后),从而让现有投资者受益。大多数投资者都认同这些观点。附录 A 探讨了人们对当前公司投资不足的担忧。
Companies in a position to pay a dividend or to buy back stock have to weigh those alternatives against investing the money back into the business. The idea is that an attractive internal investment will allow the company to return even more money in the future, adjusted for risk and inflation, and will therefore enrich current investors. Most investors agree on these points. Appendix A examines the concern that companies today are underinvesting in their businesses.
股息、回购和投资的相对优劣存在争议。股份回购尤其容易引发情绪波动,其中很多是负面情绪。² 本报告旨在澄清几个误解:
The relative merits of dividends, buybacks, and investment are contentious. Share buybacks, in particular, seem to stir emotion, much of it negative.2 The purpose of this report is to address a handful of misconceptions:
股息是资本长期积累的主要来源;
Dividends are the major contributor to capital accumulation over time;
回购破坏价值或浪费金钱;
Buybacks destroy value or waste money;
股东在股份回购政策方面可以是被动的。
Shareholders can be passive with regard to share buyback policy.
股价增值与股息
Price Appreciation and Dividends
投资经理和权威人士经常声称,股息是长期内总股东收益的主要来源。³ 但关键是要区分股票的年收益率(即股价变动加上股息)与资本积累率(即长期的总股东收益率)。核心区别在于,总股东收益率包含了股息的再投资。因此,这是两个截然不同的概念。⁴
Investment managers and pundits often make the claim that dividends are the primary source of total shareholder return over the long haul.3 But it is crucial to distinguish between the equity rate of return for one year, which is simply the change in the stock price plus the dividend, and the capital accumulation rate, or total shareholder return (TSR) over time. The central difference is that total shareholder return incorporates the reinvestment of dividends. As a result, these are very distinct concepts.4
例如,某只股票在某一年度股价涨幅(g)为 7%,股息收益率(d)为 3%,那么其年收益率为 10%。但如果 g 和 d 随时间保持不变,则根据以下公式,总股东收益率为 10.21%:
For example, a stock that has price appreciation (g) of 7 percent with a dividend yield (d) of 3 percent in a given year has an equity rate of return of 10 percent. But if the g and d remain constant over time, the total shareholder return is 10.21 percent, based on this formula:
𝑇𝑜𝑡𝑎𝑙 𝑠ℎ𝑎𝑟𝑒ℎ𝑜𝑙𝑑𝑒𝑟 𝑟𝑒𝑡𝑢𝑟𝑛 = 𝑔 + (1 + 𝑔)𝑑
𝑇𝑜𝑡𝑎𝑙 𝑠ℎ𝑎𝑟𝑒ℎ𝑜𝑙𝑑𝑒𝑟 𝑟𝑒𝑡𝑢𝑟𝑛 = 𝑔 + (1 + 𝑔)𝑑
一旦你理解了这一区别,你就会明白“股价增值是增加累计资本的投资回报的唯一来源”。⁵ 这句话出自西北大学凯洛格管理学院的荣誉教授阿尔弗雷德·拉帕波特,连经验丰富的投资者也会感到惊讶。
Once you appreciate this distinction, you can see that “price appreciation is the sole source of investment returns that increase accumulated capital.”5 This quotation comes from Alfred Rappaport, a professor emeritus at the Kellogg School of Management at Northwestern University, and it surprises even experienced investors.
传统观念认为,收入组成部分对资本积累至关重要,并且其贡献随时间增长。这是错误的。
The conventional wisdom is that the income component makes a crucial contribution to accumulated capital and that its contribution grows over time. This is wrong.
要理解原因,我们先放慢脚步,再次区分股票年收益率与总股东收益率。我们以一只 100 美元的股票为例,g 为 7%,d 为 3%。
To see why, let’s slow things down and again distinguish between the equity rate of return and total shareholder return. We’ll use a $100 stock and the same g of 7 percent and d of 3 percent.
如果只看一年的结果,那就很简单。你初始投资 100 美元,年底股票价值 107 美元,外加 3 美元现金。你从 100 美元开始,以 110 美元结束,收益率为 10%。到目前为止,没有问题。
If you consider results for one year, it is pretty simple. You start with an investment of $100 and end the year with a stock worth $107 and $3 in cash. You begin with $100 and end with $110 for a 10 percent return. So far, so good.
现在我们来看总股东收益率的情况。TSR 计算的一个关键假设是 100% 的股息被再投资于该股票。因此,在年底你拥有价值 107 美元的股票和 3 美元股息时,你用现金股息购买更多股票,使你的股票投资恢复到 110 美元。
Now let’s go to the total shareholder return case. The TSR calculation makes the crucial assumption that 100 percent of dividends are reinvested in the stock. So if at the end of the year you have a $107 stock and a $3 dividend, you use the cash dividend to buy more stock, getting your investment in the stock back up to $110.
一旦你决定将所有股息再投资,就很清楚资本积累完全取决于你投资期间的价格变化。
Once you make the decision to reinvest all of your dividends, it becomes clear that capital accumulation depends entirely on the price change over the time you invest.
理解 TSR 的关键在于它是一个跨多期的衡量指标。在第二年,股价涨至 117.70 美元,股息为 3.30 美元,总价值为 121 美元。股息再次被再投资于股票,这意味着在第二个期末你拥有 121 美元的股票。这个过程重复进行。
The key to understanding TSR is that it is a measure over multiple periods. In year two, the stock rises to $117.70 and the dividend is $3.30, yielding a total value of $121. The dividend is again reinvested in the stock, meaning that you have $121 in stock at the end of two periods. The process repeats.
极少有投资者实际获得 TSR,因为这要求他们将所有股息全部再投资。现实中,许多投资者选择花掉股息。这对这些投资者来说当然有用,但会阻碍他们获得 TSR。
Very few investors actually earn the TSR because it demands that they fully reinvest all dividends. In reality, many investors choose to spend their dividends. This has utility for those investors, of course, but prevents them from earning the TSR.
此外,由于政府对股息征税,应税账户中的投资者无法将全部股息再投资。对于支付股息的公司,只有那些在免税账户中将 100% 股息再投资的投资者才能实际获得 TSR。这在投资者群体中所占比例极小。事实上,随着投资者和政府在此过程中不断提取价值,股票市场的价值增长速度低于市场的 TSR。⁶
Further, because the government taxes dividends, investors in a taxable account cannot reinvest the full amount of their dividends. For companies that pay a dividend, only investors who reinvest 100 percent of their dividends in a tax-free account actually realize the TSR. This is a very small percentage of the investing population. Indeed, the value of the stock market rises at a lower rate than the market’s TSR as investors and governments extract value along the way.6
储蓄是推迟当前消费以在未来消费更多的行为。投资者储蓄是为了退休、支付教育费用,或确保像大学这样的机构在未来能够蓬勃发展。在每种情况下,投资者关心的都是资本积累。
Saving is the act of deferring current consumption in order to consume more in the future. Investors save to fund retirement, pay for education, or to ensure that an institution such as a university can thrive in the future. In each case, the investor cares about capital accumulation.
对于股票而言,股价增值是增加累计资本的投资回报的唯一来源。原因在于,投资者需要做出投资决策,将股息重新投资于股票。假设你持有一只交易价为 100 美元的股票,公司宣布派发 3 美元股息。在除息日,你持有价值 97 美元的股票和 3 美元现金。⁷ 你必须将这 3 美元重新投入股票,才能获得总股东收益率。
For equities, price appreciation is the only source of investment return that increases accumulated capital. The reason is that an investor makes an investment decision to reinvest the dividend into the stock. Say you own a stock that trades at $100 and declares a $3 dividend. The day the dividend is paid, you have a stock worth $97 and cash of $3.7 You must put the $3 back into the stock to earn the total shareholder return.
价值守恒原则
The Value Conservation Principle
你经常听到有人抱怨公司以过高的价格回购股票,从而“破坏股东价值”或“浪费金钱”。⁸ 这种评价过于简单化,混淆了两个问题。
You commonly hear complaints that companies buy back stock at prices that are too high and thus “destroy shareholder value” or “waste money.”8 This is a simplistic assessment that confuses two issues.
第一个问题是,当公司支出资本时,其价值会发生什么变化。假设一家公司价值 1000 美元,它选择向其股东支付 200 美元。显而易见,支出后公司的价值是 800 美元。事实上,公司是支付股息、回购股份,还是将 200 美元捐给慈善机构,都没有关系。公司价值会相应地调整。
The first issue is what happens to the value of a firm when it pays out capital. Say a company is worth $1,000 and it chooses to pay out $200 to its shareholders. It should be obvious that the value of the firm following the disbursement is $800. Indeed, it doesn’t matter whether the company pays a dividend, buys back stock, or donates the $200 to a charity. The value of the firm adjusts accordingly.
第二个问题是持续股东与出售股东的处境。如果一家公司以过高价格回购股份,出售方以牺牲持续股东的利益为代价获益。如果一家公司以过低价格回购股份,持续股东以牺牲出售股东的利益为代价获益。如果公司支付股息或以公允价值回购股份,所有股东一视同仁。
The second issue is the plight of the ongoing versus selling shareholders. If a company buys back stock that is overvalued, the sellers benefit at the expense of the continuing shareholders. If a company buys back stock that is undervalued, the ongoing shareholders benefit at the expense of the selling shareholders. All shareholders are treated the same if a company pays a dividend or buys back stock at fair value.
重要的一点是,存在一个价值守恒原则:赢家和输家相互抵消。⁹ 如果一家公司以每股 50 美元回购股份,随后股价跌至 30 美元,持续股东确实会遭受损失。但你不能忘记,那些以 50 美元卖出的人赚得很好。
The important point is that there is a value conservation principle: the winners and the losers offset one another.9 It is true that ongoing shareholders suffer if a company buys back stock at $50 per share and it subsequently drops to $30. But you can’t forget that the sellers at $50 made out well.
如果你是股息的粉丝,还有一点需要考虑。如果你同意以过低价格回购股份能为持续股东增加价值,并且你相信你的投资组合中包含被低估的股票,那么你为什么希望持有的公司支付股息呢?正如伯克希尔·哈撒韦公司董事长兼首席执行官沃伦·巴菲特所写:“事实上,有纪律的回购是以明智方式使用资金最可靠的方法:当你用 80 美分或更低的价格买进 1 美元时,很难出错。”¹⁰
Here is another point to consider if you are a fan of dividends. If you agree that buying back undervalued shares adds value for ongoing shareholders and you believe your portfolio contains undervalued stocks, why would you ever want one of your holdings to pay a dividend? As Warren Buffett, chairman and chief executive officer of Berkshire Hathaway, has written, “Indeed, disciplined repurchases are the surest way to use funds intelligently: It’s hard to go wrong when you’re buying dollar bills for 80¢ or less.”10
什么都不做本身就是一种行动
Doing Nothing Is Doing Something
想象一下,你是一家公司的股东,该公司在股价 50 美元时支付了股息,随后股价跌至 30 美元。你会对股息有任何抱怨吗?现在想象一下,你是一家公司的股东,该公司在股价 50 美元时回购了股份(你没有卖出),随后股价下跌至 30 美元。你会作何感受?
Imagine you were a shareholder of a company that paid a dividend when the stock was at $50 and then it subsequently dropped to $30. Would you have any complaints about the dividend? Now imagine that you were a shareholder of a company that repurchased shares at $50 (you did not sell) and then the stock slumped to $30. How would you feel?
很可能你对股息没有任何抱怨。事实上,你收到的股息可能会缓和股价大幅下跌的心理打击。¹¹ 但你很可能对这次不合时宜的回购感到恼火。尽管你当初之所以持有该股票,正是因为你认为它在更高价格时具有吸引力。
Chances are you would not have any complaints about the dividend. Indeed, the dividend you received might soften the psychological blow of the steep price decline.11 But you would likely be irritated by the inopportune buyback. This is despite the fact that you own the stock because you found it attractive at a higher price.
如果回溯回购的情况,很容易看出你本可以按比例卖出一部分股份,这样就能产生自制的股息,并保持相同的持股比例。
If you rewind the situation with the buyback, it is easy to see that you could have sold a prorated number of shares that would have resulted in a homemade dividend and the same percentage ownership in the company.
这就引出了一个重要观点:如果你持有一家正在回购股票的公司股份,那么什么都不做,本身就是一种行动。这个行动就是增加你在公司中的持股比例。
This leads to an important point: if you own the shares of a company buying back stock, doing nothing is doing something. That something is increasing your percentage ownership in the company.
对回购的一些疑虑是有道理的,因为公司进行回购的动机多种多样。
Some of the misgiving about buybacks is well placed, as companies pursue them with multiple motivations.
公允价值学派对回购采取稳健一致的方法。内在价值学派仅在管理层认为股票被低估时才寻求回购股份。但最大的群体或许是不纯动机学派,他们试图推高会计数字或抵消薪酬计划带来的稀释。¹² 研究表明,回购强度(即净利润增长与每股收益增长之间的差额)与 TSR 之间没有相关性。¹³
The fair value school takes a steady and consistent approach to buybacks. The intrinsic value school seeks to buy back shares only when management deems them to be undervalued. But perhaps the largest group is the impure motives school, which seeks to boost accounting numbers or offset dilution from compensation plans.12 Research shows that there is no correlation between share repurchase intensity, measured as the difference between the growth in net income and earnings per share, and TSR.13
投资者必须尽职评估管理层进行回购计划的动机,并且需要认识到,当公司回购股份时,不作为会带来何种后果。
Investors must be diligent in assessing management’s motivation for its buyback program and need to recognize the consequences of inactivity when companies do buy back shares.
Conclusion
Conclusion
企业的价值是其未来向所有者分发现金流的现值。附录 B 总结了 2015 年标普 500 指数成分公司回购和股息的细节,并展示了支出的长期趋势。将现金返还给股东的主要机制是股息和股份回购。
The value of a business is the present value of future cash flow disbursed to the owners. Appendix B summarizes the details of buybacks and dividends for the S&P 500 Index in 2015 and shows the long-term trends in spending. The primary mechanisms to return cash to shareholders are dividends and share buybacks.
然而,关于股息和回购在财富积累中的作用,存在着大量混乱的思维。
Yet there is a great deal of muddled thinking about the role that dividends and buybacks play in building wealth.
尽管有观点声称股息对长期股东总回报(TSR)贡献巨大,但只有股价上涨这种投资回报来源才能增加累积资本。关键在于要认识到,股东总回报是一个跨期衡量指标,其假设前提是股息被全额再投资于同一只股票。由于投资者通常将股息用于消费,且股息往往需要纳税,因此只有极少数股东能真正获得等同于该指标所显示的回报水平。
In spite of claims that dividends contribute substantially to long-term TSR, price appreciation is the only source of investment return that increases accumulated capital. The key is to recognize that TSR is a multi-period measure that assumes dividends are fully reinvested in the stock. Because investors commonly use dividends to consume and dividends are frequently taxable, a small minority of shareholders earn the TSR.
与回购相关的是一条价值守恒原理。一家公司的价值会因它支出的资本金额而等额减少。回购那些被高估或被低估的股票,会创造出相互抵消的赢家和输家。
There is a value conservation principle associated with buybacks. The value of a firm declines by the amount of capital it disburses. Buying back shares that are over- or undervalued creates offsetting winners and losers.
只有当一只股票处于公允价值——这个概念本身就相当模糊——时,回购和股息才会对所有股东产生相同的影响(暂且不考虑税务问题)。
Only if a stock is at fair value, a nebulous concept itself, do buybacks and dividends have the same impact on all shareholders (leaving aside tax issues).
公司回购股票的理由五花八门,并非所有动机在经济上都站得住脚。
Companies buy back stock for a host of reasons, and not all of the motivations are economically sound.
股东必须评估管理层回购股票的理由。最后,如果你持有一家正在回购股票的公司股票,那么什么也不做本身就是一种行动。你正在增加自己在企业中的持股比例,并放弃了创造自制股息的机会。
Shareholders must assess management’s reasoning for buybacks. Finally, if you own the shares of a company buying back stock, doing nothing is doing something. You are increasing your stake in the business and foregoing the opportunity to create homemade dividends.
附录 A:资产增长的隐忧(或资本返还为何是好事)
Appendix A: The Perils of Asset Growth (or Why Paying Out Capital Is Good)
当下一个令人担忧的问题是,无论以股息还是回购的形式,公司向投资者支付得实在太多了。14 企业必须在业务投资与向股东返还现金之间找到恰当的平衡。当前极低的利率,让财务工程变得极具诱惑力,因为每股收益的提升是确定、即时且易于计算的。
One of today’s concerns is that companies are paying out too much to investors, whether in the form of dividends or buybacks.14 Companies must find an appropriate balance between investing in the business and returning cash to shareholders. The extremely low interest rates that prevail today make financial engineering very attractive, as increases in earnings per share are sure, immediate, and easy to calculate.
但实证数据在一件事上非常清晰:资产高速增长的公司,其风险调整后的股东总回报(TSR)反而低于资产缓慢增长的公司。金融学者研究了这一课题并得出结论:“研究发现,与资产扩张相关的公司事件(如收购、公开股权融资、公开发债、银行借款启动)之后通常跟随着异常低回报时期;而与资产收缩相关的事件(如分拆、回购、提前偿债、股息启动)之后则往往出现异常高回报时期。”¹⁵ 这一结论同样适用于美国以外的 40 个市场。¹⁶
But on one point the empirical evidence is quite clear: companies that have rapid asset growth have lower risk-adjusted TSRs than companies with slow asset growth. Finance scholars studied the topic and conclude, “The findings suggest that corporate events associated with asset expansion (i.e., acquisitions, public equity offerings, public debt offerings, and bank loan initiations) tend to be followed by periods of abnormally low returns, whereas events associated with asset contraction (i.e., spinoffs, share repurchases, debt prepayments, and dividend initiations) tend to be followed by periods of abnormally high returns.”15 This also applies to 40 markets outside the U.S.16
有几条理论可能解释这一发现。一种理论认为,投资者低估了帝国构建的程度。随着盈利报告揭示投资回报低于预期,那些资产高速增长的公司的股东总回报(TSR)就相对较差。¹⁷
There are a couple of theories that may explain this finding. One is that investors underestimate the degree of empire building. As earnings releases reveal that returns on investment are below expectations, the TSRs for companies with high asset growth are relatively poor.17
另一种理论认为,企业在决策时更关注感知到的资本成本,而非预期的投资回报率。18 当企业认为资本成本较低时,会增加投资;当认为资本成本较高时,则会减少投资。假设投资回报率相对稳定,这一理论预测,资产扩张会导致股东总回报(TSR)低于平均水平。
Another theory is that companies pay less attention to their prospective return on investment and more to the perceived cost of capital.18 Companies invest more when they perceive that the cost of capital is low and less when they perceive it is high. Assuming that the return on investment is relatively stable, this theory predicts that asset expansion leads to subpar TSRs.
附录 B:股息与回购的近期趋势
Appendix B: Recent Trends in Dividends and Buybacks
2015 年,标普 500 指数成分股的平均回购收益率(定义为股票回购总额除以平均市值)为 3.2%。该指数成分公司共花费 5720 亿美元用于回购。图表 1 显示了具体分布情况。不到 20% 的公司完全没有回购股票,而略高于 20% 的公司的回购收益率超过 5%。这一分布呈现双峰形态。
The average buyback yield, defined as gross share buybacks divided by average market capitalization, was 3.2 percent for the S&P 500 Index in 2015. Companies in the index spent $572 billion on buybacks. Exhibit 1 shows the breakdown. Fewer than 20 percent of the companies repurchased no shares at all and just over 20 percent had a buyback yield in excess of 5 percent. The distribution is bimodal.
附表 1:标普 500 指数回购收益率明细(2015 年)
Exhibit 1: Breakdown of Buyback Yield for the S&P 500 (2015)
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。
120 110 100 90 80 70 Number 60 50 40 30 20 10 0 0 0-0.5 0.5-1.0 1.0-1.5 1.5-2.0 2.0-2.5 2.5-3.0 3.0-3.5 3.5-4.0 4.0-4.5 4.5-5.0 >5.0
120 110 100 90 80 70 Number 60 50 40 30 20 10 0 0 0-0.5 0.5-1.0 1.0-1.5 1.5-2.0 2.0-2.5 2.5-3.0 3.0-3.5 3.5-4.0 4.0-4.5 4.5-5.0 >5.0
回购收益率(百分比)
Buyback Yield (Percent)
来源:FactSet 与瑞士信贷。
Source: FactSet and Credit Suisse.
附录 2 展示了股息率的构成。2015 年标普 500 指数的股息率为 2.1%。各公司用于派息的资金总额为 3820 亿美元。标普 500 指数中约 15% 的公司未派发股息,而派息公司的股息率众数在 2.5% 至 3.0% 之间。
Exhibit 2 shows the breakdown of dividend yields. The dividend yield for the S&P 500 was 2.1 percent in 2015. Companies spent $382 billion on dividends. Roughly 15 percent of companies in the S&P 500 Index paid no dividend and the modal yield for companies issuing dividends was 2.5 to 3.0 percent.
表 2:标普 500 指数股息收益率构成(2015 年)
Exhibit 2: Breakdown of Dividend Yield for the S&P 500 (2015)
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。
120 110 100 90 80 70 Number 60 50 40 30 20 10 0 0 0-0.5 0.5-1.0 1.0-1.5 1.5-2.0 2.0-2.5 2.5-3.0 3.0-3.5 3.5-4.0 4.0-4.5 4.5-5.0 >5.0
120 110 100 90 80 70 Number 60 50 40 30 20 10 0 0 0-0.5 0.5-1.0 1.0-1.5 1.5-2.0 2.0-2.5 2.5-3.0 3.0-3.5 3.5-4.0 4.0-4.5 4.5-5.0 >5.0
股息收益率(百分比)
Dividend Yield (Percent)
来源:FactSet 和瑞士信贷。
Source: FactSet and Credit Suisse.
图表 3 将前两张图表合并,展示了总股东收益率,定义为总回购额加股息除以平均市值。合计派息额接近 1 万亿美元。在指数包含的 500 家公司中,仅有 20 家公司完全没有收益率,而最常见的收益率区间在 3% 至 5% 之间。最后,标普 500 指数中有近 50 家公司的总股东收益率超过了 10%。
Exhibit 3 combines the first two exhibits to show total shareholder yield, defined as gross buybacks plus dividends divided by average market capitalization. The combined payout was just under $1 trillion. Of the 500 companies in the index, only 20 companies have no yield at all and the modal yield is in the range of 3-5 percent. Finally, nearly 50 companies in the S&P 500 delivered a total shareholder yield in excess of 10 percent.
表 3:标普 500 指数总股东收益率细项(2015 年)
Exhibit 3: Breakdown of Total Shareholder Yield for the S&P 500 (2015)
原件此处是表格,PDF 抽取时列结构已丢失,下面只剩按列读出的数字,行列对应关系无法还原。核对数据请打开来源正文。
120 110 100 90 80 70 Number 60 50 40 30 20 10 0 0 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 >10
120 110 100 90 80 70 Number 60 50 40 30 20 10 0 0 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 >10
总股东回报率(百分比)
Total Shareholder Yield (Percent)
来源:FactSet 和瑞信
Source: FactSet and Credit Suisse.
附录 4 展示了普通股回购总额和股息支付额以及标普 500 指数的长期趋势。过去十年中有九年,回购金额超过了股息金额。唯一的例外是 2009 年,当时各公司在经济大衰退期间及之后立即削减了回购。
Exhibit 4 shows the long-term trend for gross share buybacks and dividend payments as well as the price of the S&P 500 Index. For nine of the past ten years, buybacks have exceeded dividends in volume. The exception was 2009, as companies curtailed buybacks during and immediately following the Great Recession.
表 4:标普 500 指数的回购与股息(1999–2015 年)
Exhibit 4: Buybacks and Dividends for the S&P 500 (1999-2015)
Buybacks Dividends
Buybacks Dividends
原件此处是表格,PDF 抽取时列结构已丢失,下面只剩按列读出的数字,行列对应关系无法还原。核对数据请打开来源正文。
S&P 500 S&P 500 600 2,200 600 2,200 2,000 2,000 500 500
S&P 500 S&P 500 600 2,200 600 2,200 2,000 2,000 500 500
回购(10 亿美元)股息(10 亿美元)1,800 1,800
Buybacks ($ Billions) Dividends ($ Billions) 1,800 1,800
S&P 500 Index S&P 500 Index
S&P 500 Index S&P 500 Index
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。
400 400 1,600 1,600 300 1,400 300 1,400 1,200 1,200 200 200 1,000 1,000 100 100 800 800 0 600 0 600 1999 2003 2007 2011 2015 1999 2003 2007 2011 2015
400 400 1,600 1,600 300 1,400 300 1,400 1,200 1,200 200 200 1,000 1,000 100 100 800 800 0 600 0 600 1999 2003 2007 2011 2015 1999 2003 2007 2011 2015
资料来源:标普道琼斯指数与瑞士信贷集团。
Source: S&P Dow Jones and Credit Suisse.
图表还显示,股息的周期性远低于回购。尽管在理想情况下,股息和回购的效果完全相同,但高管们对两者的看法却大相径庭。¹⁹ 管理层往往将股息视为一种准契约,其优先级与资本支出及研发投资相当。而回购则被视为在公司满足所有其他义务和投资需求之后,用来配置剩余现金的一种工具。
The exhibit also reveals that dividends are much less cyclical than buybacks. Notwithstanding that dividends and buybacks are identical under idealized circumstances, executives view them very differently.19 Managements tend to view a dividend as a quasi-contract that has a priority similar to capital expenditures and research and development investment. A buyback is viewed as a means to deploy residual cash after the company has met all other obligations and investment needs.
附录 5 展示了标普 500 指数自 1982 年以来的股息与回购数据,以及股东总收益率。2015 年,总收益率超过 5%,相比之下,美国 10 年期国债收益率约为 2%。因股票发行因素,净股东总收益率略低于 5%,但仍远高于 10 年期国债收益率。
Exhibit 5 shows dividend and buyback data, as well as the total shareholder yield, for the S&P 500 Index back to 1982. The total yield was in excess of 5 percent in 2015, which compares favorably to the U.S. 10-year Treasury note yield of around 2 percent. The net total shareholder yield is somewhat lower than five percent because of equity issuance, but remains well above the yield of the 10-year note.
附录 5:标普 500 指数股息、回购与股东总回报率(1982-2015 年)
Exhibit 5: Dividends, Buybacks, and Total Shareholder Yield for the S&P 500 (1982-2015)
S&P 500 Total
S&P 500 Total
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。
| 标普 500 指数 | 股息 | 回购 | 股息 + 回购 | 平均市场价值 | 股东价值 | 股息收益率 | 回购收益率 | 股东总收益率 | |
|---|---|---|---|---|---|---|---|---|---|
| 1981 | 863 | ||||||||
| 1982 | 141 | 47 | 8 | 55 | 1,015 | 939 | 5.0% | 0.8% | 5.8% |
| 1983 | 165 | 50 | 8 | 58 | 1,220 | 1,118 | 4.5% | 0.7% | 5.1% |
| 1984 | 167 | 53 | 27 | 80 | 1,217 | 1,219 | 4.3% | 2.2% | 6.6% |
| 1985 | 211 | 55 | 40 | 95 | 1,500 | 1,359 | 4.0% | 2.9% | 7.0% |
| 1986 | 242 | 63 | 37 | 100 | 1,710 | 1,605 | 3.9% | 2.3% | 6.2% |
| 1987 | 247 | 65 | 45 | 110 | 1,736 | 1,723 | 3.8% | 2.6% | 6.4% |
| 1988 | 278 | 83 | 46 | 129 | 1,897 | 1,816 | 4.6% | 2.5% | 7.1% |
| 1989 | 353 | 73 | 42 | 115 | 2,367 | 2,132 | 3.4% | 2.0% | 5.4% |
| 1990 | 330 | 81 | 39 | 120 | 2,195 | 2,281 | 3.6% | 1.7% | 5.3% |
| 1991 | 417 | 82 | 22 | 104 | 2,824 | 2,509 | 3.3% | 0.9% | 4.1% |
| 1992 | 436 | 85 | 27 | 112 | 3,015 | 2,919 | 2.9% | 0.9% | 3.8% |
| 1993 | 466 | 87 | 34 | 121 | 3,306 | 3,160 | 2.8% | 1.1% | 3.8% |
| 1994 | 459 | 88 | 40 | 128 | 3,346 | 3,326 | 2.6% | 1.2% | 3.8% |
| 1995 | 616 | 103 | 67 | 170 | 4,588 | 3,967 | 2.6% | 1.7% | 4.3% |
| 1996 | 741 | 101 | 82 | 183 | 5,626 | 5,107 | 2.0% | 1.6% | 3.6% |
| 1997 | 970 | 108 | 119 | 227 | 7,555 | 6,590 | 1.6% | 1.8% | 3.4% |
| 1998 | 1,229 | 116 | 146 | 262 | 9,942 | 8,749 | 1.3% | 1.7% | 3.0% |
| 1999 | 1,469 | 138 | 141 | 279 | 12,315 | 11,129 | 1.2% | 1.3% | 2.5% |
| 2000 | 1,160 | 141 | 151 | 292 | 11,715 | 12,015 | 1.2% | 1.3% | 2.4% |
| 2001 | 1,147 | 142 | 132 | 274 | 10,463 | 11,089 | 1.3% | 1.2% | 2.5% |
| 2002 | 848 | 148 | 127 | 275 | 8,107 | 9,285 | 1.6% | 1.4% | 3.0% |
| 2003 | 1,126 | 161 | 131 | 292 | 10,286 | 9,197 | 1.7% | 1.4% | 3.2% |
| 2004 | 1,212 | 181 | 197 | 378 | 11,289 | 10,788 | 1.7% | 1.8% | 3.5% |
| 2005 | 1,248 | 202 | 349 | 551 | 11,255 | 11,272 | 1.8% | 3.1% | 4.9% |
| 2006 | 1,418 | 224 | 432 | 656 | 12,729 | 11,992 | 1.9% | 3.6% | 5.5% |
| 2007 | 1,468 | 246 | 589 | 836 | 12,868 | 12,799 | 1.9% | 4.6% | 6.5% |
| 2008 | 903 | 247 | 340 | 587 | 7,852 | 10,360 | 2.4% | 3.3% | 5.7% |
| 2009 | 1,115 | 196 | 138 | 333 | 9,928 | 8,890 | 2.2% | 1.5% | 3.7% |
| 2010 | 1,258 | 206 | 299 | 505 | 11,430 | 10,679 | 1.9% | 2.8% | 4.7% |
| 2011 | 1,258 | 240 | 405 | 645 | 11,385 | 11,408 | 2.1% | 3.6% | 5.7% |
| 2012 | 1,426 | 281 | 399 | 680 | 12,742 | 12,064 | 2.3% | 3.3% | 5.6% |
| 2013 | 1,848 | 312 | 476 | 787 | 16,495 | 14,619 | 2.1% | 3.3% | 5.4% |
| 2014 | 2,059 | 350 | 553 | 904 | 18,245 | 17,370 | 2.0% | 3.2% | 5.2% |
| 2015 | 2,044 | 382 | 572 | 955 | 17,900 | 18,072 | 2.1% | 3.2% | 5.3% |
| 平均 | 2.6% | 2.1% | 4.7% |
S&P 500 Dividends + S&P 500 Average Market Dividend Buyback Shareholder Price Dividends Buybacks Buybacks Market Value Value Yield Yield Yield 1981 863 1982 141 47 8 55 1,015 939 5.0% 0.8% 5.8% 1983 165 50 8 58 1,220 1,118 4.5% 0.7% 5.1% 1984 167 53 27 80 1,217 1,219 4.3% 2.2% 6.6% 1985 211 55 40 95 1,500 1,359 4.0% 2.9% 7.0% 1986 242 63 37 100 1,710 1,605 3.9% 2.3% 6.2% 1987 247 65 45 110 1,736 1,723 3.8% 2.6% 6.4% 1988 278 83 46 129 1,897 1,816 4.6% 2.5% 7.1% 1989 353 73 42 115 2,367 2,132 3.4% 2.0% 5.4% 1990 330 81 39 120 2,195 2,281 3.6% 1.7% 5.3% 1991 417 82 22 104 2,824 2,509 3.3% 0.9% 4.1% 1992 436 85 27 112 3,015 2,919 2.9% 0.9% 3.8% 1993 466 87 34 121 3,306 3,160 2.8% 1.1% 3.8% 1994 459 88 40 128 3,346 3,326 2.6% 1.2% 3.8% 1995 616 103 67 170 4,588 3,967 2.6% 1.7% 4.3% 1996 741 101 82 183 5,626 5,107 2.0% 1.6% 3.6% 1997 970 108 119 227 7,555 6,590 1.6% 1.8% 3.4% 1998 1,229 116 146 262 9,942 8,749 1.3% 1.7% 3.0% 1999 1,469 138 141 279 12,315 11,129 1.2% 1.3% 2.5% 2000 1,160 141 151 292 11,715 12,015 1.2% 1.3% 2.4% 2001 1,147 142 132 274 10,463 11,089 1.3% 1.2% 2.5% 2002 848 148 127 275 8,107 9,285 1.6% 1.4% 3.0% 2003 1,126 161 131 292 10,286 9,197 1.7% 1.4% 3.2% 2004 1,212 181 197 378 11,289 10,788 1.7% 1.8% 3.5% 2005 1,248 202 349 551 11,255 11,272 1.8% 3.1% 4.9% 2006 1,418 224 432 656 12,729 11,992 1.9% 3.6% 5.5% 2007 1,468 246 589 836 12,868 12,799 1.9% 4.6% 6.5% 2008 903 247 340 587 7,852 10,360 2.4% 3.3% 5.7% 2009 1,115 196 138 333 9,928 8,890 2.2% 1.5% 3.7% 2010 1,258 206 299 505 11,430 10,679 1.9% 2.8% 4.7% 2011 1,258 240 405 645 11,385 11,408 2.1% 3.6% 5.7% 2012 1,426 281 399 680 12,742 12,064 2.3% 3.3% 5.6% 2013 1,848 312 476 787 16,495 14,619 2.1% 3.3% 5.4% 2014 2,059 350 553 904 18,245 17,370 2.0% 3.2% 5.2% 2015 2,044 382 572 955 17,900 18,072 2.1% 3.2% 5.3% Average 2.6% 2.1% 4.7%
资料来源:Nellie Liang 与 Steven A. Sharpe,《股票回购与员工股票期权及其对标普 500 指数股票注销与预期收益的影响》,美联储理事会金融与经济工作论文第 99-59 号,1999 年 11 月;标普道琼斯指数公司;汤森路透数据流;以及瑞士信贷估算。
Source: Nellie Liang and Steven A. Sharpe, “Share Repurchases and Employee Stock Options and their Implications for S&P 500 Share Retirements and Expected Returns,” Board of Governors of the Federal Reserve System Finance and Economics Working Paper No. 99-59, November 1999, S&P Dow Jones Indices, Thomson Reuters Datastream, and Credit Suisse estimates.
注:所有货币金额均以 10 亿美元为单位。
Note: All monetary amounts in billions U.S. dollars.
注释
1 Philip U. Straehl 与 Roger G. Ibbotson,《股票收益的供给:纳入回购调整》,工作论文,2015 年 12 月 17 日。
Endnotes 1 Philip U. Straehl and Roger G. Ibbotson, “The Supply of Stock Returns: Adding Back Buybacks,” Working Paper, December 17, 2015.
2 例如,参见 Barry Ritholtz, “Take Dividends Over Buybacks,” 《彭博商业周刊》,2016 年 4 月 11 日;William Lazonick, “Profits Without Prosperity,” 《哈佛商业评论》,2014 年 9 月,54-55 页;以及 Gretchen Morgenson, “In Yahoo, Another Example of the Buyback Mirage,” 《纽约时报》,2016 年 3 月 25 日。3 参见,例如 Robert D. Arnott 和 Peter L. Bernstein, “What Risk Premium Is ‘Normal’?” 《金融分析师杂志》,第 58 卷,第 2 期,2002 年 3 月/4 月,64-85 页;Richard Skaggs, “Dividends: A Timeless Component of Equity Return,” 《顾问视角》,2012 年 4 月 18 日;Aye M. Soe, “Dividend Investing and A Look Inside the S&P 500 Dow Jones Dividend Indices,” 标普道琼斯指数公司,2013 年 4 月;Rupert Hargreaves, “Dividend Income Accounts for 60% of Equity Returns,” ValueWalk,2016 年 2 月 23 日。4 这种区分在资金管理中有直接的类比。如果你寻求在一段时期内最大化价值,恰当的方法是找到最高的算术收益率。这时均值-方差最大化是合适的。如果你是在滚动你的资本,使得一个时期结束时的投资金额成为下一个时期的起始金额,那么你需要考虑几何均值最大化。参见 Javier Estrada, “Geometric Mean Maximization: An Overlooked Portfolio Approach?” 《投资杂志》,第 19 卷,第 4 期,2010 年冬季,134-147 页。对于不那么技术性的讨论,参见 William Poundstone, 《财富公式:打败赌场和华尔街的科学投注系统不为人知的故事》(纽约:Hill and Wang,2005 年),197-201 页。
2 For example, see Barry Ritholtz, “Take Dividends Over Buybacks,” Bloomberg, April 11, 2016; William Lazonick, “Profits Without Prosperity,” Harvard Business Review, September 2014, 54-55; and Gretchen Morgenson, “In Yahoo, Another Example of the Buyback Mirage,” New York Times, March 25, 2016. 3 See, for instance Robert D. Arnott and Peter L. Bernstein, “What Risk Premium Is ‘Normal’?” Financial Analysts Journal, Vol. 58, No. 2, March/April 2002, 64-85; Richard Skaggs, “Dividends: A Timeless Component of Equity Return,” Advisor Perspectives, April 18, 2012; Aye M. Soe, “Dividend Investing and A Look Inside the S&P 500 Dow Jones Dividend Indices,” S&P Dow Jones Indices, April 2013; Rupert Hargreaves, “Dividend Income Accounts for 60% of Equity Returns,” ValueWalk, February 23, 2016. 4 This distinction has a direct analog in money management. If you seek to maximize value over one period, the proper method is to find the highest arithmetic return. This is where mean-variance maximization is appropriate. If you are parlaying your capital so that your investment sum at the end of one period becomes the starting sum of the next, you want to consider geometric mean maximization. See Javier Estrada, “Geometric Mean Maximization: An Overlooked Portfolio Approach?” Journal of Investing, Vol. 19, No. 4, Winter 2010, 134-147. For a less technical discussion, see William Poundstone, Fortune’s Formula: The Untold Story of the Scientific Betting System that Beat the Casinos and Wall Street (New York: Hill and Wang, 2005), 197-201.
5 Alfred Rappaport,“股息再投资、价格增值与资本积累”,《投资组合管理期刊》,第 32 卷,第 3 期,2006 年春季,第 119 - 123 页。
5 Alfred Rappaport, “Dividend Reinvestment, Price Appreciation and Capital Accumulation,” Journal of Portfolio Management, Vol. 32, No. 3, Spring 2006, 119-123.
6 杰里米·J·西格尔,《股市长线法宝:金融市场回报与长期投资策略权威指南》,第五版(新泽西州霍博肯:约翰·威利父子出版公司,2014 年),第 76 页。
6 Jeremy J. Siegel, Stocks for the Long Run: The Definitive Guide to Financial Market Returns and Long-Term Investment Strategies, Fifth Edition (Hoboken, NJ: John Wiley & Sons, 2014), 76.
7 从经验数据来看,由于税收的影响,股价并不会按照股息金额等额下跌。决定股票在除息日会下跌多少的基本公式如下:
7 As an empirical matter, the stock price doesn’t go down by the exact amount of the dividend because of the impact of taxes. The basic equation to determine how much a stock will drop when it goes ex-dividend is as follows:
Pb – P a = (1-to)
Pb – P a = (1-to)
D (1-tcg)
D (1-tcg)
其中 Pb 是除息日前的股价,Pa 是除息日后的股价,to 是股息收入的税率,tcg 是资本利得的税率。所以,如果股息和资本利得的税率相同(就像现在这样),那么股价的下跌幅度大致等于股息金额。如果股息税率高于资本利得税率(过去半个世纪的大部分时间里都是如此),那么股价的下跌幅度就会小于股息金额。参见 Aswath Damodaran,“Returning Cash to the Owners: Dividend Policy”,网址:http://pages.stern.nyu.edu/~adamodar/pdfiles/ovhds/ch10.pdf。
Where Pb is the stock price before the ex-dividend date, Pa is the price after the ex-dividend date, to is the tax rate on dividend income, and tcg is the tax rate on capital gains. So if the tax rates on dividends and capital gains are the same (as they are today), then the decline in the stock price is roughly equivalent to the dividend. If the tax rate on dividends is higher than that on capital gains, which has been true for most of the last half century, then the decline in stock price will be less than the dividend. See Aswath Damodaran, “Returning Cash to the Owners: Dividend Policy,” available at http://pages.stern.nyu.edu/~adamodar/pdfiles/ovhds/ch10.pdf.
8 例如,参见 David Trainer 的《股票回购如何摧毁股东价值》(Forbes,2016 年 2 月 24 日),以及 Ritholtz(2016 年)的文章。
8 For example, see David Trainer, “How Stock Buybacks Destroy Shareholder Value,” Forbes, February 24, 2016, and Ritholtz (2016).
9 参见 Michael J. Mauboussin 与 Dan Callahan 合著的《向股东返还现金:关于回购与股息的常见问题》(Credit Suisse Global Financial Strategies,2014 年 5 月 6 日)中的表 8。10 沃伦·E·巴菲特,《致股东的信》,伯克希尔·哈撒韦 2012 年年报。参见 www.berkshirehathaway.com/letters/2012ltr.pdf。
9 See exhibit 8 in Michael J. Mauboussin and Dan Callahan, “Disbursing Cash to Shareholders: Frequently Asked Questions about Buybacks and Dividends,” Credit Suisse Global Financial Strategies, May 6, 2014. 10 Warren E. Buffett, “Letter to Shareholders,” Berkshire Hathaway Annual Report, 2012. See www.berkshirehathaway.com/letters/2012ltr.pdf.
个人投资者在心理账户中普遍将股息纳入考量。参见 Hersh M. Shefrin 与 Meir Statman 合著论文《解释投资者对现金股息的偏好》,《金融经济学杂志》第 13 卷第 2 期,1984 年 6 月,第 253-282 页。
11 Individual investors commonly use dividends in their mental accounting. See Hersh M. Shefrin and Meir Statman, “Explaining Investor Preference for Cash Dividends,” Journal of Financial Economics, Vol. 13, No. 2, June 1984, 253-282.
12 Konan Chan, David L. Ikenberry, Inmoo Lee, 以及 Yanzhi Wang, “股票回购作为误导投资者的潜在工具”,《公司金融期刊》,第 16 卷第 2 期,2010 年 4 月,第 137-158 页。另见 Heitor Almeida,
12 Konan Chan, David L. Ikenberry, Inmoo Lee, and Yanzhi Wang, “Share Repurchase as a Potential Tool to Mislead Investors,” Journal of Corporate Finance, Vol. 16, No. 2, April 2010, 137-158. Also, Heitor Almeida,
维亚切斯拉夫·福斯与马蒂亚斯·克伦隆德,《股票回购的真实影响》,《金融经济学杂志》,第 119 卷,第 1 期,2016 年 1 月,第 168-185 页。
Vyacheslav Fos, and Mathias Kronlund, “The Real Effects of Share Repurchases,” Journal of Financial Economics, Vol. 119, No. 1, January 2016, 168-185.
13 Obi Ezekoye、Tim Koller、Ankit Mittal,《回购如何在不改善回报的情况下提升每股收益》,麦肯锡文章,2016 年 4 月。
13 Obi Ezekoye, Tim Koller, and Ankit Mittal, “How Share Repurchases Boost Earnings Without Improving Returns,” McKinsey Article, April 2016.
14 例如,参见贝莱德首席执行官拉里·芬克 2016 年 2 月 1 日《致企业领袖的信》。他写道:“我们当然支持将过剩现金返还给股东,但不能以牺牲价值创造型投资为代价。”参见 www.blackrock.com/corporate/en-in/literature/press-release/ldf-corp-gov-2016.pdf。
14 For example, see the letter from Larry Fink, chief executive officer of BlackRock, to corporate leaders dated February 1, 2016. He writes: “We certainly support returning excess cash to shareholders, but not at the expense of value-creating investment.” See www.blackrock.com/corporate/en-in/literature/press-release/ldf-corp-gov-2016.pdf.
15 Michael J. Cooper, Huseyin Gulen, and Michael J. Schill, “资产增长与股票回报的截面差异”,《金融学刊》,第 63 卷,第 4 期,2008 年 8 月,第 1609-1651 页。
15 Michael J. Cooper, Huseyin Gulen, and Michael J. Schill, “Asset Growth and the Cross-Section of Stock Returns,” Journal of Finance, Vol. 63, No. 4, August 2008, 1609-1651.
16 Akiko Watanabe, Yan Xu, Tong Yao, and Tong Yu,“The Asset Growth Effect: Insights for International Equity Markets,” 《金融经济学杂志》,第 108 卷,第 2 期,2013 年 5 月,第 259‑263 页。
16 Akiko Watanabe, Yan Xu, Tong Yao, and Tong Yu, “The Asset Growth Effect: Insights for International Equity Markets,” Journal of Financial Economics, Vol. 108, No. 2, May 2013, 259-263.
17 Sheridan Titman, K. C. John Wei, Feixue Xie, “资本投资与股票回报”,《金融与定量分析杂志》,第 39 卷,第 4 期,2004 年 12 月,第 677-700 页。
17 Sheridan Titman, K. C. John Wei, Feixue Xie, “Capital Investments and Stock Returns,” Journal of Financial and Quantitative Analysis, Vol. 39, No. 4, December 2004, 677-700.
18 参考邢宇航(Yuhang Xing)的论文“通过 Q 理论解读价值效应:一项实证研究”,载于《金融研究评论》2008 年 7 月第 21 卷第 4 期,第 1767–1795 页。
18 Yuhang Xing, “Interpreting the Value Effect Through Q-Theory: An Empirical Investigation,” Review of Financial Studies, Vol. 21, No. 4, July 2008, 1767-1795.
19 Alon Brav、John R. Graham、Campbell R. Harvey 和 Roni Michaely,《21 世纪的派息政策》,
19 Alon Brav, John R. Graham, Campbell R. Harvey, and Roni Michaely, “Payout Policy in the 21st Century,”
《金融经济学杂志》,第 77 卷,第 3 期,2005 年 9 月,483-527。
Journal of Financial Economics, Vol. 77, No. 3, September 2005, 483-527.