图表玄机
1914 年,时年 17 岁的我怀揣 40 美元离家闯荡,身无分文。我根本不需要那么做。我父亲在布拉格堡有一个农场,但我不想去种地。农场不是我的菜。我的兄弟姐妹们都生活在贫困线上下,但我很早就明白一件事:贫困是万恶之源。我说的是 _不_ 应该贫困,而不是说贫穷没什么好怕的——贫穷真是棘手。你知道,人们不理解贫穷。贫穷是 — 你知道吗?我有时候觉得上帝坐在天堂里,俯视人间,心想:“我得确保你们在分财富之前先学会该怎么分。”
The Telltale Chart Keynote Speech by John C. Bogle Founder and Former CEO, The Vanguard Group Before the Morningstar Investment Forum Chicago, IL June 26, 2002 It’s always a special privilege to speak at the Morningstar Forum. Given the deep interests of the professional financial advisers and informed individuals who come here, this annual gathering is likely the finest aggregation of dedicated investors one is likely to find. This year, it’s a special thrill for me, because the Forum is the meeting place for the kick-off of Diehards III, the third annual gathering of the Vanguard shareholders who call themselves “the Bogleheads.”
各位中很多人都知道,过去几年里,我在大量演讲和文章中谈到共同基金行业普遍存在的严重缺陷、美国企业界和华尔街社区那些最近被一一罗列但早已显而易见的罪过,以及股市回报率极有可能大幅走低的现实。今天,我想暂时抛开这些问题,来讨论基础的投资原则,包括(在讲话的最后部分)主导股票市场的那些原则。简而言之,我要走下讲坛,站到黑板前面来。
As many of you know, during the past few years I’ve done much speaking and writing on the profound weaknesses that permeate much of the mutual fund industry, the recently catalogued, but far earlier apparent, sins of Corporate America and the Wall Street community, and the strong likelihood of far lower stock market returns. Today, I’d like to stand back from those issues and discuss fundamental investment principles, including (at the close of my remarks) the principles that govern the equity market. In short, I’m going to step down from my pulpit and stand before my blackboard.
爱伦·坡《泄密的心》开篇第一句是:“真的!——紧张——我非常、非常紧张,过去和现在都是……但你会说我疯了吗?”而我要坦承,在触及一个坦白说我不敢在大多数听众面前谈论的话题时,我自己也有点紧张。不过,今天在座的各位都是如此热忱的投资者,齐聚一堂,这给了我勇气来探讨一个重要的话题;而且,在我们经历了大牛市、大泡沫和大崩盘之后,这个话题也恰逢其时。如果我猜得没错,在座的各位完全能够驾驭它。
The first sentence of Edgar Allan Poe’s The Telltale Heart reads: “True!—nervous— very, very awfully nervous I have been and am . . . but will you say that I am mad?” And I confess to being a tad nervous as I tackle a subject that I frankly wouldn’t dare to tackle before most audiences. But this congregation of so many avid investors under one roof emboldens me to address an important subject, and, after the great bull market, the great bubble, and the great burst we have witnessed, a timely one as well. And if my guess is right, this is an audience that can handle it.
几乎不用我说你也知道,在我漫长的投资生涯中,能够取得些许成功的关键,在于上天赐予了我足够的常识,让我能够认识到简单的伟大。但我也学到,要发现简单中那些无价的珍宝,常常需要穿透一片复杂的荆棘。今天,我要讨论的复杂话题是均值回归;而那颗简单的珍宝,就是那张昭示一切的图表。
I hardly need tell you that the key to whatever success I may have enjoyed during my long investment career is that the Lord gave me enough common sense to recognize the majesty of simplicity. But I’ve learned that to discover the priceless jewels of simplicity, it’s often necessary to cut through a swath of complexity. Today, the complex subject I’ll discuss is reversion to the mean; the jewel of simplicity is the telltale chart.
当然,那篇《泄密的心》讲的正是一颗仿佛永不停跳的心脏(说起来,跟我这心脏还真有点像!)。即便主人已死,它仍像“裹在棉花里的表”一样,嘀嗒作响,愈发清晰。均值回归——RTM,这条金融市场无处不在的引力法则——也从未停歇。它的鼓点虽算不上规律,却从不缺席。市场板块的回报、管理投资组合的收益率,甚至市场本身,都诡异地随着时间推移,最终回归到这样或那样的常态。
The Telltale Heart, of course, is the story of a heart that doesn’t seem to stop beating (sort of like mine, come to think of it!). Even after the death of its owner, its steady drumbeat ticks away like “a watch enveloped in cotton” and becomes more and more distinct. So reversion to the mean—RTM, the pervasive law of gravity that prevails in the financial markets—never stops. While its drumbeat is hardly regular, it never fails. For the returns of market sectors, of managed investment portfolios, and even of the market itself mysteriously return, over time, to norms of one kind or another.
你们中有些人可能还记得,RTM 是我 1999 年出版的《共同基金常识:聪明投资者的新要求》一书第 10 章的主题。但很少有人知道,那一章的由来是 1998 年我在麻省理工学院的一次演讲。当时,该校位于林肯实验室的智库邀请我在其杰出讲座系列中发表演说。听众是清一色的科研人员,其中不乏博士,这一点并非无关紧要。我希望你们感到荣幸——我又一次在你们面前谈论这个话题。
Some of you may recall that RTM was the subject of Chapter 10 of my 1999 book, Common Sense on Mutual Funds: New Imperatives for the Intelligent Investor. But few of you know that the genesis of that chapter was a speech that I gave at Massachusetts Institute of Technology in 1998, where I had been invited to speak at its Distinguished Lecture Series at its Lincoln Laboratories think-tank. It is not insignificant that the audience of scientific researchers was laced with Ph.Ds. I hope you are complimented that it is before you that I address the subject again.
均值回归的六种表现 今天我要谈谈均值回归如何帮助我们理解金融市场,从而成为更成功的投资者。首先我会讨论市场板块中的均值回归,先聚焦大盘股与小盘股,再谈成长股与价值股。接着,我会转向近期备受打击的标普 500 指数相对于整个美国股市回报的均值回归。第四点,我会谈论股票型共同基金回报向市场均值回归的现象。然后——部分原因是如果我不讲,博格尔头们会失望——我会转向被称为“切块与切片”投资组合的结果中所反映的均值回归;这类组合本质上是多元化配置,通过系统性超配某些板块来试图超越大盘指数。最后,我会探讨一个根本问题:股市回报本身是否会回归到某种均值。
Six Manifestations of RTM Today I’m going to talk about how RTM can help us to understand financial markets and thereby become more successful investors. I’ll talk first about RTM in market sectors, focusing first on large-cap and small-cap stocks and second on growth and value stocks. Next, I’ll turn to RTM in the returns of the recently beleaguered Standard & Poor’s 500 Stock Index relative to total U.S. stock market. Fourth, I’ll talk about the reversion of equity mutual fund returns to the market mean. Then—in part because the Bogleheads would be disappointed if I didn’t—I’ll turn to RTM as it is reflected in the results of what have become known as “Slice and Dice” portfolios; essentially diversified portions that seek to outpace the broad market index by systematically overweighting various sectors. Finally, I’ll examine the question of whether stock market returns themselves revert to one kind of mean or another.
为了向你们提供这海量的信息,我需要在屏幕上展示不少于 18 张 Power Point 图表。这任务可不轻松,但若你们能牢记每张 RTM(均值回归)图表的显著相似性——即围绕均值上下不规则波动——我正是用这一概念来概括这六点,我想你们就能理解我的论证思路。因为展示投资现象趋向均值回归的这一标志性图表,在每个案例中都会重复出现。发言结束时,我希望你们能认同我的结论:最成功的投资者将会尊重均值回归的力量。
Giving you this copious stream of information will require me to flash a total of no less than 18 Power Point charts up on the screen. That’s a tall order, but if you’ll just hold in the back of your minds the remarkable similarity of each of the charts showing RTM—the irregular swings above and below the mean—with which I summarize each of these six points, I think you’ll understand my line of argument. For the telltale chart that demonstrates the tendency of investment phenomenon to revert to the mean repeats itself in each example. When I conclude, I hope you’ll share my conclusion: The most successful investors will respect the power of reversion to the mean.
我先来批评一种看待长期业绩的典型方式——它过分简化,却极为常见。比如我们常听到“小盘股每年跑赢大盘股约两个百分点”,证据来自我们手头能拿到的全部历史数据(恰好是 1926 年到 2002 年)。或者,那个所谓的“神奇基金”“在其存续期内每年跑赢市场 8.5 个百分点”。又或者,“股票回报高于债券”。每一次这样的说法,都没有承认一个事实:你看到的每一组比较都依赖于所选的时间段。不论这个时间段是否被刻意挑选来证实某个观点,比较的起始日期和结束日期都不是随机的。历史金融市场回报的数据汇编并不是精算表,而且,你很快会看到,过去并不预示未来。事实上,过去通常恰恰是反未来的预言。每一种论点,细看之下,往往都埋下了自身反面论点的种子。
I begin by criticizing the vastly over-simplified but typical way we look at long-term results. We hear, for example, that “small-cap stocks outperform large-cap stocks by almost two percentage points a year,” using as evidence the entire historical record we have available (from, as it happens, 1926 to 2002). Or that the, well, Magic Fund “has beaten the market by eight-and-a-half percentage points a year over its lifetime.” Or that “stocks provide higher returns than bonds,” in each case without acknowledging that each and every comparison we see is period-dependent. Whether or not the period has been selected to prove a point, neither the starting date of a comparison nor its concluding date are random. Compilations of historical financial market returns are not actuarial tables, and, as you’ll see, the past is not prologue. Indeed, it is usually, well, anti-prologue. Each thesis, it turns out, tends to bear the seeds of its own antithesis.
1. RTM – 大盘股 vs. 小盘股
没有哪条投资原则像“长期来看小盘股跑赢大盘股”这样经久不衰、几乎无人质疑。我们掌握的数据在这个问题上毫不含糊:根据芝加哥大学证券价格研究中心(CRISP)的数据,自 1928 年以来,小盘股年回报率为 12.5%,大盘股为 10.8%。而且,在这 74 年的时间里,长期复利发挥魔力:小盘股的每 1 美元增长到 6000 美元,而大盘股的每 1 美元仅增长到 2000 美元。当然,请记住,小盘股承担了更高的风险(标准差为 30%,而大盘股为 22%)。但在对更高风险水平进行调整后,大盘股的年回报率上升到 12.9%,高于小盘股。所以,永远不要忽视风险。
1. RTM – Large-Cap Stocks vs. Small-Cap Stocks Few investment principles are as unchallenged as the perennial assertion that over the long-run small-cap stocks outperform large-cap stocks. The data we have available are unequivocal on this point: Since 1928, according to the University of Chicago Center for Research in Securities Prices (CRISP), small stocks have provided an annual return of 12.5%, vs. 10.8% for large caps. And, over that 74-year period, the long-term compounding works its magic; each dollar in small-cap stocks grows to $6,000, while each dollar in large-cap stocks grows to just $2,000. Bear in mind, of course, small-caps carried a higher risk (standard deviation of 30% vs. 22%). But after adjustment to that higher risk level the, large-cap annual return rises to 12.9%, higher than for small-caps. So never ignore risk.
但那张看似气势恢宏的图表——就像俗话说的比基尼——隐藏的远比显露的多。我强烈建议你,在将其转化为另一张揭示真相的图表之前,不要轻易接受那个结论。这张图表的制作方法很简单:逐年用一个数据系列的累计收益率除以另一个数据系列——在这里,就是用大盘股累计收益率除以小盘股累计收益率。然后我们就会发现,这个漫长的阶段实际上被一系列均值回归(reversion to the mean)所打断。几乎全部小盘股的优势都集中在前 18 年。之后,从 1945 年到 1964 年,大盘股(年化 14.2%)主导了小盘股(11.7%);小盘股在 1968 年之前胜出(32.0% 对 11.0%);大盘股在 1973 年之前胜出(2.5% 对 –10.8%)。随后小盘股胜出至 1983 年,大盘股胜出至 1990 年,如此往复。总体来看,这些来回往复的均值回归相互抵消,自 1945 年以来,大盘股和小盘股的收益率几乎完全相同(12.7% 对 13.3%)。所以,不妨问问自己:将长期策略建立在小盘股优越论之上,其证据基础是否太过脆弱?
But that imposing chart—like the proverbial bikini—conceals more than it reveals. I would strongly urge you to not accept that conclusion without transforming it into the telltale chart that is devised simply by dividing the cumulative returns of one data series into another, year after year—in this case dividing the cumulative large-cap stock return into the cumulative small-cap return. Then we see that the long period was punctuated by a whole series of reversions to the mean. Virtually the entire small-cap advantage took place during the first 18 years. Then large-cap (14.2% per year) dominates small-cap (11.7%) from 1945 through 1964; small-cap through 1968 (32.0% vs. 11.0%); large-cap through 1973 (2.5% vs. –10.8%). Then small-cap through 1983, large through 1990, and so on. On balance, these to-and-fro reversions have cancelled each other out, and since 1945 the returns of large-cap stocks and small-cap stocks have been virtually identical (12.7% vs. 13.3%). So ask yourself whether the evidence to justify the claim of small-cap superiority isn’t too fragile a foundation on which to base a long-term strategy.
1 美元的增长,1928 - 2001:均值回归:小盘 vs. 大盘,1928 - 2001
大盘股与小盘股
| 年化收益率 | 标准差 |
|---|---|
| 大盘股:10.8% | 21.7% |
| 小盘股:12.5% | 30.4% |
累计回报:小盘 / 大盘
那么,也问问你自己,这些数据是否准确。复盘市场板块的历史回报绝非易事,尤其是对于小盘股而言。问问你自己,交易成本是否被精确计入(或者甚至是否被计入),以及是否存在幸存者偏差。这些问题加在一起,即使是最严谨的学术研究,其有效性也会受到质疑。然后,即使这些研究有效,也问问你自己,为了那 40% 的投资风险增幅,这场游戏是否值得。
Growth of $1, 1928 - 2001: RTM: Small vs. Large, 1928 - 2001 Large-cap and Small-cap Stocks 5.0 $10,000 $6,000 Ann. Ret. Std. Dev. 4.0 3.9 $1,000 Large-cap: 10.8% 21.7% Small-cap: 12.5% 30.4% $2,000 3.0 2.9 $100 2.1 2.0 $10 1.4 1.0 $1 0.0 $0 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 31 35 39 43 47 51 55 59 63 67 71 75 79 83 87 91 95 99 Cumulative Return: Small / Large Then, ask yourself too if the data are accurate. Reconstructing past returns of market segments is no mean task, especially among small-cap stocks. Ask yourself whether transaction costs are accurately imputed (or even imputed at all), and whether survivor bias is present. Together, these issues raise questions about the validity of even the most responsibly-conducted of academic studies. And then, even if they’re valid, ask yourself whether the game is worth the 40% increase in investment risk.
最后,问问你自己:那些实质上只是市场板块指数所呈现的结果,在现实的投资世界中,能在多大程度上被复制出来。投资是有成本的,而且有一个不言而喻——也越来越显得老套——的道理:股票市场(或任何特定市场板块)的所有投资者,在扣除金融中介成本之前,能赚到市场回报率,但实际拿到手的却是扣除这些成本之后的回报。如果执行小盘股策略的成本,每年比大盘股策略高出 1 个百分点甚至更多——情况似乎确实如此——那么,即使数据所反映的那种所谓长期优势真的实现,这场胜利也可能只是惨胜(pyrrhic)。
Finally, ask yourself the extent to which any of the results of what are in effect indexes of market sectors can be replicated in the real world of investing. Investing costs money, and it is a truism—and increasingly a trite one—that all of the investors in the stock market (or in any discrete market sector) earn the market return before the costs of financial intermediation, but actually receive the return after those costs. If the cost of implementing a small stock strategy exceeds the costs of a large stock strategy by one percentage point a year or more, as seems to be the case, even if the alleged long-term advantage reflected in the data in fact materializes, the victory may be pyrrhic.
2. RTM——价值股 vs. 成长股 我不会再啰嗦数据准确性、风险和真实世界成本这些重要限定条件。但每一条都会在接下来要讨论的领域里再次发挥作用,也就是价值股与成长股。在这方面,长期差异比大盘股 vs. 小盘股更为显著:自 1928 年以来的年化回报率,大盘价值股为 12.2%,大盘成长股为 9.6%,差距足足有 2.6 个百分点。将这些回报复利计算后,初始 1 美元的最终价值出现了惊人的鸿沟:价值股 5100 美元,成长股 900 美元。同样,更高的风险(价值股标准差为 27%,成长股为 20%)解释了大部分差距,但即便考虑了风险调整后,成长股 11.2% 的回报率仍比价值股低 1 个百分点。这些数据如此令人印象深刻,以至于人们只想说:结论已定!
2. RTM – Value Stocks vs. Growth Stocks I won’t belabor those important qualifications of data integrity, risk, and real world costs. But each also comes into play in the next area that I’ll consider, value stocks vs. growth stocks1. Here, the long-term difference is even more dramatic than small vs. large: The annual return since 1928 is reported as 12.2% for large-cap value stocks and 9.6% for large-cap growth stocks, a difference of fully 2.6 percentage points. The compounding of those returns results in a stunning chasm in the final value of an initial dollar: Value $5,100, Growth $900. Again, higher risk (standard deviation of value was 27%, vs. 20% for growth) accounts for much of the gap, but even the increased risk-adjusted return of 11.2% for growth stocks falls one percentage point short of the value outcome. The data are so impressive that one wants simply to say: Case closed!
现在让我们转向那张标志性的图表,仔细审视一下历史记录。虽然回归均值效应(RTM)不像前一张图表那样明显,但我们仍能看到一些重要现象。奇怪的是,在最初的 27 年(!)里,几乎没什么变化。前 12 年成长股略微领先 1 美元的增长,1928 年 - 2001 年:回归均值效应:大盘价值股 vs 大盘成长股,大盘成长股和大盘价值股 1928 年 - 2001 年 8.0 10,000 美元 5,100 美元 7.0 年化收益率 标准差 6.7 成长股:9.6% 20.1% 6.0 5.9 1,000 美元 价值股:12.2% 27.4% 900 美元 5.0 4.5 100 美元 4.0 10 美元 3.0 2.0 1 美元 1.0 0.0 19 31 55 19 19 59 75 19 19 79 95 19 19 99 99 累计收益率:大盘价值股/大盘成长股 这些图表的数据来自达特茅斯学院的肯尼斯·弗伦奇教授和芝加哥大学的尤金·法玛教授进行的那项广为人知且极其全面的研究。
But now let’s turn to our telltale chart and carefully examine the record. While the RTM is hardly as clear as its earlier counterpart, we can observe some significant things going on. Curiously, during the first 27 years (!), not much happens. Growth wins by a bit in the first 12 Growth of $1, 1928 - 2001: RTM: Large Value vs. Large Growth, Large Growth and Large Value Stocks 1928 - 2001 8.0 $10,000 $5,100 7.0 Ann. Ret. Std. Dev. 6.7 Growth: 9.6% 20.1% 6.0 5.9 $1,000 Value: 12.2% 27.4% $900 5.0 4.5 $100 4.0 $10 3.0 2.0 $1 1.0 $0 0.0 19 31 55 19 19 59 75 19 19 79 95 19 19 99 99 Cumulative Return: LV / LG The data for these charts are provided in the famously comprehensive studies undertaken by Professor Kenneth French of Dartmouth and Eugene Fama of the University of Chicago.
在接下来的 11 年里,价值股再次领先,随后两个系列到 1961 年的年化回报率大致相当(16%)。价值股再次领先到 1968 年,经过四年间歇后又在 1977 年之前再次上升,暂停四年,然后在 1988 年之前大幅飙升。接着是大牛市的重大冲击,成长股相当持续地、以较大幅度领先价值股(年化 21% 对比 16%),一直持续到 1999 年。这种尖锐分化之后,便迎来了市场历史上最剧烈的均值回归——成长股在 2000-2001 年暴跌 -28%,价值股跌幅不到 1%。均值回归再次发威!但也许令人惊讶的是,在整个 1984-2001 年期间,成长股(年化 15.3%)仍然勉强保住了对价值股(年化 14.4%)的领先地位。
years, value in the next 11, after which both series deliver about the same annual returns through 1961 (16%). Value leads again through 1968, and after a four-year hiatus rises again through 1977, pauses for four years, and then surges through 1988. Then comes the heft of the great bull market, with growth leading value fairly consistently and by a wide margin (21% vs. 16% annually) through 1999. That sharp dichotomy was then followed by the sharpest mean reversion in market history, with growth toppling by -28% in 2000-2001, with value off less than 1%. RTM strikes again! But, perhaps surprisingly, over the entire period 1984-2001, growth (15.3% per year) retains a fragile grip on its leadership over value (14.4%).
当然,以下是对应段落的译文:
当然,我向各位展示的数据,代表的是基于统计模型重构的市场板块收益率。所以,我现在想考察的不是抽象的投资组合,而是在真实世界中运作的成长型基金和价值型基金。数据可追溯至 1937 年,其整体模式与法玛-弗伦奇的研究结果平行相似,但存在一个奇特的反差。在这段漫长时期内,成长型共同基金的年均收益率(11.6%)实际上超过了法玛-弗伦奇大盘成长股(11.2%),而价值型共同基金 11.0% 的收益率却远低于法玛-弗伦奇价值股 15.2% 的收益率——原因或许在于,法玛-弗伦奇的价值型投资组合所承担的风险,比价值型基金整整高出 45%。尽管如此,法玛-弗伦奇研究中的成长型与价值型股票综合收益率,仍比同类基金的收益率每年高出 1.9 个百分点,这相当精确地估算出了共同基金所产生的成本。因此,投资者不应忽视执行某一策略的显性成本——该策略虽源自学术研究,但那些研究在现实世界中无法被精确复现。
The data I’ve shown you, of course, represent the statistical reconstruction of market sector returns. So, I’d now like to examine not abstract portfolios, but growth and value mutual funds that operate in the real world. The data are available from 1937, and the general patterns parallel those of the French-Fama study, but with a curious dichotomy. While the average annual return of the growth mutual funds (11.6%) during this long period actually exceeded the French-Fama large-cap growth stocks (11.2%), the value mutual fund return of 11.0% fell far below that of French-Fama value return of 15.2%, perhaps because the Fama-French value portfolio has a risk fully 45% above the value funds. Nonetheless, the French-Fama combined growth and value returns exceed the combined fund returns by 1.9% per year, a pretty good approximation of the costs that mutual funds incur. So investors should not ignore the obvious costs of implementing a strategy that rises, pristinely, out of academic studies that cannot be precisely replicated in the real world.
成长型基金和价值型基金相对回报出现如此显著分化的原因,可能在于价值型基金经理的投资依据,较少依赖行业指数用于区分成长股和价值股的统计标准(通常是市净率),而更多基于其他因素。但无论如何,成长型和价值型指数统计的有效性,取决于衡量其所代表板块时所用指数的可靠性。以 S&P/Barra 成长指数为例,该指数依据相对市净率,将标普 500 指数 50% 的权重归为成长股。当这些股票在 1990 年代股价飙升时,指数中的成长股数量从 220 只骤降至 1999 年的 106 只——114 只昔日的成长股被毫不客气地推入价值型指数。随后,当成长股受挫时,51 只“价值型”股票重返成长型指数,使当前总数达到 157 只——而且还在增加!鉴于当前我们看到的大规模资产减记,许多曾经的成长股如今被定义为价值股。因此,管理成本和指数构成上的差异,应让我们对将抽象数据应用于现实世界保持极度谨慎。
The reason for the dichotomy between these markedly different sets of growth fund and value fund relative returns may rest on the fact that value managers invest less on the basis of the statistical criteria that sector indexes use to differentiate growth stocks from value stocks (usually price-to-book-value) and more on other factors. But in any event, the validity of the growth and value index statistics rests on the soundness of the indexes used in measuring the sectors they purport to represent. Consider, for example, the S&P/Barra Growth Index. Based on relative price-to-book ratios, this Index categorizes 50% of the weight of the S&P 500 Index as growth stocks. When their prices soared during the 1990s, the number of growth stocks in the index tumbled from 220 to 106 in 1999—114 erstwhile growth stocks were unceremoniously shoved into the Value Index. Then, when growth stocks stumbled, 51 “value” stocks returned to the Growth Index, bringing the present total to 157—and rising! With the huge asset write-downs we’re currently seeing, many former growth stocks are now defined as value stocks. So differences in both management costs and index composition should make us extremely cautious about the application of abstract data to the real world.
无论如何,我坚决站在那些不接受价值策略天生优于成长策略的反叛者阵营里。我的观点曾招来猛烈抨击,但让我宽慰的是,据报道法玛博士在一次近期投资会议上与参会者有这样的对话:“对于那些像杰克·博格尔一样聪明、研究了同样数据却得出结论说并不存在规模或价值超额收益的人,您怎么说?”他的回答是:“他们离幻灯片有多远?如果我离得足够远,我也看不见那些超额收益……你是否倾向于价值策略,取决于你是否愿意承担相应的风险……市场组合始终是有效的……对大多数人来说,市场组合是最明智的选择。”阿门!
In any event, place me squarely in the camp of the contrarians who don’t accept the inherent superiority of value strategies over growth strategies. I’ve been excoriated for my views, but I’m comforted by this reported exchange between Dr. Fama and a participant at a recent investment conference: “What do you say to otherwise intelligent people like Jack Bogle who examine this same data and conclude that there is no size or value premium?” His response: “How far are they from the slide? If I get far enough away, I don’t see it either . . . Whether you decide to tilt towards value depends on whether you are willing to bear the associated risk . . . The market portfolio is always efficient . . . For most people, the market portfolio is the most sensible decision.” Amen!
3. 市场组合中的均值回归 与法玛博士一样,我相信市场组合是最明智的选择。它让你在做决策时无需依赖判断;它降低成本;它提高税收效率;它让你不必埋头翻看过去的市场数据,去弄明白那些数据为什么是现在这个样子。然后,如果你接受了这些数据,你还得判断它所揭示的模式,在你投资时间跨度剩下的那些年里,是否会持续存在。
3. RTM in the Market Portfolio Like Dr. Fama, I believe that the market portfolio is the most sensible decision. It takes the need for judgement out of your decision making; it reduces cost; it increases tax-efficiency; it avoids the need to pore over past market data to figure out why the data are what they are. Then, if you accept the data, you have to decide whether or not the patterns it has revealed will persist during the span of years remaining on your investment horizon.
从时间意义上说,全市场组合策略与三个世纪前帕斯卡关于上帝存在的精神论证如出一辙。如果你押注上帝存在,只需放弃少许诱惑的低廉代价就能过上合乎道德的生活——而这便是你全部的损失。如果你押注上帝不存在,放纵所有欲望,则将永堕地狱。帕斯卡的结论是:后果必须压倒概率。股市亦然——你若押注市场有效而持有市场组合,便能获取市场收益;但若你反向押注且押错了,后果可能痛彻心扉。当长期极少人能够获得的市场收益唾手可得时,你为何要冒可能惨败的风险?
In a temporal sense, the all-market portfolio is consistent with the spiritual argument about the existence of God put forth by Pascal three centuries ago. If you bet God is, you live a moral life at puny cost of giving up a few temptations. But that’s all you lose. If you bet God is not and give in to all your temptations, you’re forever dammed. Consequences, Pascal concluded, must outweigh possibilities. Similarly in the stock market, if you bet the market is efficient and hold the market portfolio, you’ll earn the market’s return. But if you bet against it and are wrong, the consequences could be painful. Why would you run the risk of losing, perhaps badly, when the market return, earned by so few over the long-run, is there for the taking?
不过,我们仍然面临一个问题:如何定义市场组合。27 年前,当我创立第一只指数共同基金时,标准普尔 500 综合股价指数被普遍视为合适的市场组合。当然,它只代表了大约 80% 的市场,但当时可供选择的其它指数寥寥无几。(始于 1970 年的威尔逊 5000 全市场指数当时鲜为人知,也未经验证。)如今,威尔逊指数已随处可得且被广泛接受,其作为美国股市整体替代指标的可靠性,得到了 CRSP 和法玛-弗伦奇两家机构的历史数据验证——它们的数据可追溯至 1926 年。三大指数之间的相关性高达 0.999 左右,因此其有效性几乎毋庸置疑。一只全市场指数基金显然是持有美国股市的最优方式。
Still, we are faced with the question of how to define the market portfolio. When I started the first index mutual fund 27 years ago, the Standard & Poor’s 500 Composite Stock Price Index was generally considered to be the appropriate market portfolio. Of course it represented only 80% of the market, but there were few other indexes from which to choose. (The Wilshire 5000 Total Market Index, dating to 1970, was little-know and untested.) Today, the Wilshire is readily available and widely accepted, its validity as a proxy for the total U.S. stock market confirmed by both CRISP and French-Fama, which take the data as far back as 1926. The three indexes share correlations of something like 0.999, so there can be little doubt about their validity. An all-market index fund is clearly the optimal way to hold the U.S. stock market.
但我必须为追踪标普 500 指数的指数基金辩护一下。尽管标普 500 指数被晨星(“500 指数基金正在失去魅力?”)、Money 杂志(“标普 500 被操纵了吗?”)和《机构投资者》(“标普 500 的时间不多了吗?”)狠批过,但我要回答这三个问题:“不”、“不”和“不”。批评过头了。没错,大盘股在 500 指数中权重很大,但美国股市也一样。没错,在大泡沫期间,500 指数被价格过高的科技股主导,但美国股市也一样。没错,回头看,近几年 500 指数纳入的许多大型科技股似乎荒谬,但这些公司本身已经是市场上的主要力量。没错,其成分股多年来变化很大,但投资者的投资组合也一样。而且,没错,500 指数直到 1955 年才变成 500 只股票——从 1926 年诞生起,它多年来一直只包含 90 只股票。在所有这些方面,标普 500 指数是一个有缺陷的指数。但尽管批评声铺天盖地,标普 500 指数是管用的。
But I must spring to the defense of index funds linked to the Standard & Poor’s 500 Index. While the 500 Index has been excoriated by Morningstar (“500 Index Funds Losing Their Allure?”), by Money magazine (“Is the S&P 500 Rigged?”), and by Institutional Investor (“Is Time Running Out for the S&P 500?”), I would answer those questions, “No,” “No” and “No.” The criticism has been greatly overdone. Yes, the 500 is heavily weighted by large stocks. But so is the U.S. stock market. Yes, during the great bubble, the 500 was dominated by overpriced technology stocks. But so was the U.S. stock market. Yes, many of the additions of large tech stocks in the 500 in recent years seem, in retrospect, absurd. But these companies were already major factors in the market itself. Yes, its composition changes substantially over the years, but so does the composition of investors’ portfolios. And yes, the 500 didn’t even become the 500 until 1955. From its inception in 1926, it had been comprised of just 90 stocks. In all of these respects, the S&P 500 is a flawed index. But for all of the criticism heaped on it, the S&P 500 works.
那么,现在最关键的一个“是”来了。尽管标普 500 指数存在种种真实或想象中的缺陷,但不可否认,它已极其出色地代表了我们现在所知道的全美国股市的整体回报。更妙的是,自 1926 年以来,它年均回报率为 10.7%,实际上跑赢了全市场 10.3% 的回报率。然而,另一张提示图却警告我们,不要指望标普 500 能带来超额收益。这全部的超额收益都发生在 1926 年至 1932 年期间。自那以后,标普 500 指数年均 12.2% 的回报率,与全股市的回报率完全一致。但整体来看,均值回归(RTM)的幅度非常小,几乎微不足道。是的,当大盘股主导市场时——比如在 1982 年至 2000 年牛市的大部分时间里——标普 500 指数会占优。同样,当小盘股主导市场时(比如 1975 年至 1980 年),标普 500 则会落后。但既然标普 500 仍占市场总市值的 75% 以上,那么怀疑它在未来几年会继续向市场均值回归,似乎就有点天真了。从我们的提示图中还能学到另一个宝贵教训:标普 500 指数基金的投资者完全不必感到有换仓、转向全市场投资组合的压力——尤其是在这样做会导致应税资本利得的情况下。从长期来看,标普 500 指数将一如既往地完成与市场同步的任务。
So now the most important “yes” of all. For all of its real and imagined failings, yes, the S&P 500 has provided a truly remarkable representation of what we now know to be the returns of the total U.S. stock market. What is more, with a 10.7% annual return since 1926 it has actually outperformed the broader market’s 10.3% return. But yet another telltale chart warns us not to look to the 500 for excess returns. This entire excess arose during 1926-1932. Since then, the 12.2% annual return of the S&P 500 has been exactly the same as the return of the total stock market. But overall, the RTM has been remarkably small; almost trivial. Yes, when large-caps dominate, as in most of the 1982-2000 bull market, the S&P 500 will dominate. And yes, when small-caps dominate (as in 1975-1980), the S&P will lag. But since the S&P continues to represent more than 75% of market’s capitalization, it would seem a bit naïve to doubt that it will continue to revert to the market mean in the years ahead. One more valuable lesson from our telltale chart: Investors in 500 index funds need feel no compulsion to change horses and switch to a total market portfolio—especially if it would result in a taxable capital gain. Over the long haul, the S&P 500 will do the same job of matching the market that it has always done.
1 美元的增长,1926 - 2001:均值回归:标普 500 指数 vs. 全市场,标普 500 指数与全市场 1926 - 2001 1.4 10,000 美元 年化回报 1.3 1.3 1.3 全市场:10.3% 1.3 1,000 美元 标普 500 指数:10.7% 1.2 相关性:0.98% 100 美元 1.1 10 美元 1.0 1 美元 0.9 0.8 0 美元 1929 1933 1937 19 1945 19 1957 1961 1965 19 1973 1981 1989 19 20 61 41 1949 53 69 1977 1985 1993 97 01 累计回报:标普 500 / 全市场 4. 股票型共同基金中的均值回归 这个告示图也帮助我们观察到均值回归在共同基金回报中扮演的重要角色。如果我们不去看基金长期业绩的简单总结,而是观察一张显示其市场相关回报随时间变化的图表,我们能学到多少东西啊!想想美国最伟大的共同基金成功故事之一的非凡记录。我把它叫作“魔法基金”,因为它的长期业绩很可能和我们能找到的任何记录一样好。该基金成立于 1964 年,年化回报平均为 19.7%,比标普 500 指数整整高出 8.5 个百分点。结果:最初投入的 10,000 美元,所有股息再投资,到 2002 年初已价值 930 万美元(!)。同样的资金投资于指数则仅价值 56 万美元。这听起来像是一个了不起的记录。确实如此!
Growth of $1, 1926 - 2001: RTM: S&P 500 vs. Total Stock Market, S&P 500 and Total Stock Market 1926 - 2001 1.4 $10,000 Ann. Return 1.3 1.3 1.3 Tot. Mkt.: 10.3% 1.3 $1,000 S&P 500: 10.7% 1.2 Correlation: 0.98% $100 1.1 $10 1.0 $1 0.9 0.8 $0 1929 1933 1937 19 1945 19 1957 1961 1965 19 1973 1981 1989 19 20 61 41 1949 53 69 1977 1985 1993 97 01 Cumulative Return: S&P / TSM 4. RTM in Equity Mutual Funds The telltale chart also helps us to observe the important role played by RTM in the returns of mutual funds. How much more we can learn if we look, rather than at a simple summary of a fund’s long-term record, at a chart showing its market-related returns over time! Consider the remarkable record of one of America’s greatest mutual fund success stories. I’ll call it the “Magic Fund,” for its long-term record is probably as good as a record as we can find. Formed in 1964, the annual return of Magic Fund averaged 19.7% per year, fully 8.5 percentage points ahead of the Standard & Poor’s 500 Index. Result: $10,000 invested at the outset, with all dividends reinvested, would have been worth $9.3 million(!) as 2002 began. The same investment in the index would have been valued at just $560,000. It sounds like a marvelous record. And it is!
但现在让我们把这些数据转换成 RTM 图。和许多基金一样,它在资产规模小的早期年份业绩惊艳——就这个案例而言,还是在基金向公众开放之前。从 1964 年到 1981 年,Magic 基金的年均回报率达到 22%,让同期标普 500 指数相对惨淡的 9% 回报相形见绌。到 1981 年首次向公众发行时,它的回报已飙升至市场回报的 10 倍。而在此后的头五年里,它又攀升至市场回报的近 14 倍。即使资产增长到数十亿、数百亿,随后突破 300 亿美元大关,它仍继续繁荣,在 1993 年达到近 19 倍。当然,从如此高位出发,均值回归(RTM)几乎成为必然,并且随着基金规模越来越大,其投资组合不可避免地越来越像市场,这种回归还会加速。到 1993 年,游戏已经结束。到 1997 年,它损失了六分之一的优势,此后便与标普 500 指数亦步亦趋。如这张示踪图所示,Magic 基金的回报实际上与指数(14%)几乎完全相同。确实,图表表明它现在已沦为一只隐形指数基金,昔日的魔力早已消逝。但示踪图本身的魔力依然存在,它清楚地揭示出旧秩序已在十多年前改变。
But now let’s convert those figures to an RTM chart. Like so many funds, the record was sensational in the early years when assets were small, and, in this case, before the fund ever became available to the public. From 1964 through 1981, Magic Fund's return averaged 22% a year, putting to shame the relatively dismal 9% return of the S&P 500. By the time it was first offered to the public in 1981, it had soared to 10 times the market return. And in the first five years thereafter, it rose to almost 14 times the market’s return. Even as assets grew into the billions, and the tens of billions, and then over the $30 billion mark, it continued to prosper, rising to nearly 19 times in 1993. From such lofty heights, of course, RTM becomes a virtual certainty, and accelerates as the fund gets larger and larger, its portfolio inevitably more and more marketlike. By 1993, the game was over. It lost one-sixth of its edge by 1997, and since then, it has been in lock-step with the S&P 500. As the telltale chart shows us, Magic Fund’s return has been virtually identical to that of the Index (14%). Indeed the chart suggests that it has now become a closet index fund, its old magic long gone. But the magic of the telltale chart remains, making obvious that the old order hath changeth, more than a dozen years ago.
10,000 美元的增长:RTM:“神奇基金” vs. 标普 500 指数,1964 - 2001 年
“神奇基金”与标普 500 指数,1964 - 2001 年
100,000 美元
年回报率 18
神奇基金:19.7% 16
13.9 16.5
10,000 美元
标普 500 指数:11.2% 14
930 万美元
千美元
1,000 美元
IPO,1981 年
60 万美元
100 美元 4
10 美元
19 65 19 75 87 19 20 89
累计回报:神奇基金 / 标普 500 指数
我再放两张 RTM 图表,以强调示踪图在评估单只基金业绩时几乎不可或缺的作用。回过头看,这类图表本可以保护基金投资者免受他们在泡沫末期因选错基金而付出的惨重代价。第一只基金是管理良好、成本低廉、价值导向的股票型基金。尽管采取低风险策略,它在 1986 - 1997 年间还是很好地跟上了牛市,只是在科技狂潮期间有所回落。但当清算日到来时,它展现了坚定的品格。另一只基金的走势正好相反:一只激进成长型基金在早期阶段并不特别出彩,但随后因其高风险策略在 1991 - 1995 年间大获成功而飙升。吸引大量资产后,它在 1996 - 1998 年间严重受挫,仅在 1999 年做了一次最后的冲刺。然后,繁荣之后总是随之而来的崩盘降临,该基金再次崩溃。不,更高的风险不一定等于更高的回报。这类图表本可以帮助投资者避开近期泡沫的危险。
Growth of $10,000: RTM: “Magic Fund” vs. S&P 500, 1964 - 2001 “Magic Fund” and S&P 500, 1964 - 2001 $100,000 Ann. Return 18 Magic Fund: 19.7% 16 13.9 16.5 $10,000 S&P 500: 11.2% 14 $9.3m Thousands $1,000 IPO, 1981 $0.6m $100 4 $10 19 19 65 19 75 87 19 20 89 Cumulative Return: Magic Fund / S&P 500 I’ll put up just two more RTM charts to reinforce the message that the telltale chart is almost essential in appraising the records of individual funds. In retrospect such charts might have protected fund investors from the ghastly penalties they paid for adverse fund selection during the late bubble. One is a well-managed, low-cost, value-oriented equity fund. Despite its low-risk strategy, it tracked the bull market nicely in 1986-1997, only to fall back during the technology mania. But when the day of reckoning came, it showed its staunch character. The other pattern is just the reverse: An aggressive growth fund is not particularly impressive during the early part of the period, but then soars as its high-risk strategy pays off in 1991-1995. Attracting large assets, it falters badly during 1996-1998, only to make one last surge in 1999. Then comes the bust that always follows the boom, and the fund collapses again. No, higher risk doesn’t necessarily equate to higher returns. Such charts would have helped investors avoid the perils of the recent bubble.
RTM大盘价值基金 vs. 标普 500 指数,1986 – 2001 年 RTM:大盘成长基金 vs. 标普 500 指数,1986 – 2001 年 1.4 2.2 年化收益率 标准差 2.0 年化收益率 标准差
RTMLarge Value Fund RTM: Large Growth Fund vs. S&P 500, 1986 - 2001 vs. S&P 500, 1986 - 2001 1.4 2.2 Ann. Return Std. Dev. 2.0 Ann. Return Std. Dev.
基金 15.5% 10.1% 基金 13.3% 32.9% 1.2 1.8 标普 500 指数 13.7% 16.1% 1.6 标普 500 指数 13.7% 16.1% 1.0 1.4 1.2 0.8 1.0 0.8 0.6 0.6 四季度 四季度 3 季度 887 8 89 一季度 1 季度 9 季度 9 季度 0 季度 2 季度 2 季度 3 季度 4 季度 5 9 87 88 89 季度 季度 季度 季度 季度 季度 季度 季度 3 季度 6 季度 7 季度 8 4 95 9 季度 季度 季度 季度 季度 季度 3 1 95 季度 3 季度 0 季度 1 4 98 01 3 2 1 4 季度 季度 季度 季度 4 4 98 累计回报:基金/标普 500 指数 累计回报:基金/标普 500 指数 若干年前,我曾建议晨星公司用一张包含均值回归(RTM)的图表来替换其传统图表,而均值回归在这些特征图表中体现得如此清晰。可惜的是,编辑们最终决定不予采纳。不过,平心而论,晨星公司现在提供的修订版图表,通过展示基金相对于同类基金的季度回报,确实在一定程度上捕捉到了这一想法的精神。但是,作为一个永远乐观的人(哪怕今天这顿免费午餐的受惠者似乎并不领情!),我仍然抱有一丝希望,期待晨星公司能够重新考虑,并决定在其基金页面上采用特征图表。
Fund 15.5% 10.1% Fund 13.3% 32.9% 1.2 1.8 S&P 500 13.7% 16.1% 1.6 S&P 500 13.7% 16.1% 1.0 1.4 1.2 0.8 1.0 0.8 0.6 0.6 Q Q3 Q 887 8 89 Q1 Q 9 Q 9 Q 0 Q 2 Q 2 Q 3 Q 4 Q 5 9 87 88 89 Q Q Q Q Q Q Q Q Q3 Q 6 Q 7 Q 8 4 95 9 Q Q Q QQ Q Q3 1 95 Q Q3 Q 0 Q 1 4 98 01 3 2 1 4 Q Q Q Q Q4 4 98 Cumulative Return: Fund / S&P 500 Cumulative Return: Fund / S&P 500 Years ago, I suggested that Morningstar replace its traditional chart with one that included the RTM that is so clearly illustrated by these telltale charts. Alas, the editors decided against it. In fairness, however, by showing quarterly returns relative to peer funds, the revised charts Morningstar now provides do capture some of the spirit of the idea. But, ever the optimist (if the seemingly ungrateful recipient of today’s free lunch!), I still hold out hope that Morningstar will reconsider and decide to employ telltale charts on its fund pages.
5. 时机调配与“切分与重配”“切分与重配”——博格帮称其为 S&D——不仅是晨星网站上常被谈论的话题,在金融工程师中(包括普林斯顿大学的那些,我敢承认吗!)也经常被提及。最简单的形式是,其理念是通过持有一组投资组合来获取超额收益:a) 在市场组合中加入那些被认为可能带来更高回报的资产类别;b) 引入与股票市场相关性较低的资产;c) 定期将各类资产的比例重新调整回初始权重。
5. RTM and “Slice and Dice” “Slice and Dice”—S&D to the Bogleheads—is often talked about not only on the Morningstar website, but among financial engineers, including those at (dare I admit it!) Princeton University. In its simplest form, the idea is to garner excess returns by holding a portfolio that a) adds to the market portfolio those asset classes that are deemed likely to deliver superior returns; b) introduces assets having a low correlation with the stock market; and c) periodically rebalances each asset class to its original weight.
我们来快速检视两个这样的投资组合。首先是传统型组合:标普 500 指数、大盘价值股、小盘价值股和最小两个十分位的股票各占四分之一——也就是说,这是一个超配价值股和小盘股的组合。从历史上看,它的回报确实亮眼:年化收益 12.9%,而标普指数为 10.3%,不过风险也高出 41%——标准差为 28%,标普 500 指数为 20%。然而,当我们把那张揭示规律的图表拿出来看时,就会发现周期性依赖和均值回归在起作用。比如请注意,它有多少成功来自于 1942 至 1945 年的牛市,当时它上涨了 410%(!),几乎是标普指数 150% 回报的三倍——这无疑是一次不可复制的事件。还要注意,在随后的 20 年里(截至 1964 年),指数和小盘价值股(S&D)组合的回报几乎完全相同(年化收益分别为 13.8% 和 14.0%)。接着小盘价值股组合在 1983 年之前间歇性飙升,但随后在接下来的 17(!)年里表现乏力(年化收益 13.9%,而标普指数为 16.3%)——这意味着在整整 32 年里几乎没有任何差距——想一想,这可是相当长的时间跨度了。当然,在整个时期里,小盘价值股组合占据主导地位,但如果我们简单地对标普 500 指数进行杠杆操作,使其风险与小盘价值股组合相当,其风险调整后回报率会上升到 12.4%。毫无疑问,0.5% 的差距在这种性质的数字推演中只是四舍五入的误差罢了。
Let’s quickly examine two such portfolios. First, a conventional one, one-quarter each in the S&P 500 Index, large value stocks, small value stocks, and stocks in the smallest two deciles—i.e. a portfolio that overweights value and small-cap shares. Over history, it has clearly delivered: An annual return of 12.9% vs. 10.3% for the S&P Index, albeit with a 41% higher risk—a standard deviation of 28%, versus 20% for the S&P 500. When we bring the telltale chart into play, however, we see period-dependency and RTM at work. Note, for example, how much of its success came in the 1942-45 bull market, when it rose by 410%(!), nearly three times the 150% return of the S&P Index—doubtless a non-recurring event. Note too that the returns of the Index and S&D portfolios were virtually identical (13.8% and 14.0% annual return) for the next two decades, ending in 1964. Then the S&D portfolio surges intermittently through 1983, only to falter over the following 17 (!) years (annual return of 13.9%, vs. 16.3% for the S&P)—meaning that there was virtually no gap for 32 years—a pretty long horizon when you think about it. For the full period, of course, the S&D portfolio dominated, but if we simply levered the S&P 500 to equalize its risk with the S&D portfolio, its risk-adjusted return would have risen to 12.4%. Surely a shortfall of 0.5% is mere rounding error in a numerical exercise of this nature.
1 美元的增长,1928–2001 年:均值回归:4x25 组合 vs. 标普 500 指数,标普 500 指数 vs. 4x25 组合* 10,000 美元 7,900 美元 1928–2001 年 年化收益率 标准差 7 标普 500 指数:10.3% 20.1% 1,000 美元 6 4x25 组合:12.9% 28.4% 1,500 美元 5.4 100 美元 3.4 10 美元 3 1 美元 0 美元 35 0 99 31 35 39 43 47 51 55 59 63 67 71 75 79 83 87 91 95 99 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 *分别配置 25% 于标普 500 指数、大盘价值股、小盘价值股和 CRSP 9–10。
Growth of $1, 1928 - 2001: RTM: 4x25 Portfolio vs. S&P 500, S&P 500 vs. 4x25 Portfolio* $10,000 $7,900 1928 - 2001 Ann. Ret. Std. Dev. 7 S&P 500: 10.3% 20.1% $1,000 6 4x25: 12.9% 28.4% $1,500 5.4 $100 3.4 $10 3 $1 $0 35 0 99 31 35 39 43 47 51 55 59 63 67 71 75 79 83 87 91 95 99 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 *25% each in S&P 500, Large Value, Small Value, and CRSP 9-10.
每年再平衡的累计回报率:组合 / 标普 500 指数
当然,我们审视的这个偏向价值/小盘股的 S&D 组合,在很大程度上是事后挑选出来的,这并不无意义——它反映了人类过度依赖那些因过去成功而显得突出的领域的诱惑。那么,让我们来看看一位投资者在 30 年前可能做出的选择。我们将持有 25% 的标普 500 指数头寸,然后加入三个在当时可能受欢迎的、各占 25% 的另类资产类别:小盘股、国际股票,以及黄金(因为它是使股票组合最多元化的单一资产类别,即与股市相关性最低的资产类别,这在当时看起来并不荒唐!)。现在,我们来考察这个另类组合的历史表现。显然,这张图讲述了一个不同的故事。尽管 S&D 组合再次获胜,但优势不大——4x25 组合的年回报率为 12.8%,而标普 500 指数为 12.3%。尽管如此,1 美元在 4x25 组合中增长到了 42 美元,而指数则增长到 36 美元,对于这个总体而言被证明是明智的板块选择来说,这是一个不错的回报。
Rebalanced annually Cumulative Return: Portfolio / S&P 500 It is not insignificant, of course that the value/small-cap tilted S&D portfolio we’ve examined was chosen largely in hindsight, reflecting the all-too-human temptation to rely on sectors that commend themselves by their past success. So, let’s take a look at what an investor might have done 30 years ago. We’ll hold a 25% S&P 500 position and then add three 25% alternative classes that might have been popular at the time: Small-cap, international, and, because it is the single asset class that most diversifies an equity portfolio (i.e., has the lowest correlation to the stock market of any asset class), gold (it didn’t look silly then!). Now let’s examine the record of this alternative portfolio. Obviously, this chart tells a different story. While the S&D portfolio again wins, it wins by only a modest amount—a 12.8% annual return for the 4x25 portfolio versus 12.3% for the S&P 500. Still, the value of $1 grew to $42 in the 4x25 portfolio, compared to $36 for the Index, a nice payoff for what proved to be, on balance, a smart selection of sectors.
但请看看这张告示图表揭示的内容。首先,全部超额收益——甚至更多!——都出现在头九年,当时黄金正在暴涨。其次,国际板块的强劲表现几乎一直维持着这一优势到 1988 年,之后国际股票落后于标普 500 指数,在接下来的十年中有七年经常落后两位数百分点。然而,尽管这个替代性的 4×25 投资组合在过去两年出现复苏,但其自 1979 年以来 10% 的累计平均收益率,与标普 500 指数 15% 的收益率相比黯然失色。那么,这张告示图表告诉我们关于这种分散与集中(S&D)策略版本的两个截然相反的故事:是的,它在头 8 年有效;不,它在之后 22 年失效。
But now see what the telltale chart reveals. First, the entire excess return—and then some!—appears in the first nine years, when gold boomed. Second, strength in the international sector pretty well maintained that gain through 1988, after which international stocks lagged the S&P 500, often by double-digit amounts, for seven of the next ten years. Yet, despite the recovery of this alternative 4x25 portfolio during the past two years, its cumulative average return of 10% since 1979 pales by comparison with the S&P 500 return of 15%. The telltale chart then, tells us two distinctly contradictory tales about this version of the S&D strategy: Yes, it wins during the first 8 years; no, it loses during the last 22.
1 美元的增长:4×25 投资组合* vs. 标普 500 指数,1971 – 2001
4×25 投资组合 vs. 标普 500 指数,滚动 4 年期回报,1971 – 2001
100 美元
3.5 年化回报,标准差
42 美元
2.9
3.0
标普 500 指数:12.3% 16.8%
4×25 投资组合:12.8% 13.4%
36 美元
2.5
2.0
10 美元
1.5
1.2
1.0
0.5
1 美元
0.0
19 72 19 74 19 76 19 78 19 80 19 82 19 84 19 86 19 88 1990 19 92 19 94 19 96 19 98 20 00 19
*各 25% 投资于标普 500 指数、EAFE 指数、小盘股和黄金。每年再平衡一次。
Growth of $1: Alternative 4x25 Port.* RTM: Alternative 4x25 Port. vs. S&P 500, vs. S&P 500, 1971 - 2001 1971 - 2001 $100 3.5 Ann. Ret. Std. Dev. $42 2.9 3.0 S&P 500: 12.3% 16.8% 4x25: 12.8% 13.4% $36 2.5 2.0 $10 1.5 1.2 1.0 0.5 $1 0.0 19 19 19 19 19 19 19 19 19 1990 19 19 19 20 72 74 76 78 80 82 84 86 88 1992 94 96 98 00 19 *25% each in S&P 500, EAFE, small-caps, and gold. Rebalanced annually.
累计回报:投资组合 / 标普 500 指数
“切块和切丁”策略,结果如何全靠你自己。和人类智慧设计的所有其他投资策略一样,它有时有效,有时无效。不确定性主宰一切。即便这套整体方案似乎跑赢了指数——在一个不可避免地依赖时段选择的长周期里——也别忘了,在真实世界中,模拟全市场组合的成本有多么(!)微不足道,而用主动型基金去填满那些“切块切丁”的格子,甚至被动型基金来做这件事,成本又有多么(!)高昂。如果把额外风险考虑进去,那么这场游戏是否值得一试,就是一个真正的问题了。即便你不接受我对“切块切丁”策略提出的质疑,我也恳请你,在投入一个 4×25 的组合之前,把超过 25% 的仓位放在全市场组合上——比如 55%。然后只拿 15% 去配置你切丁的三个板块,这样就把你决策中的大部分风险拿掉了。接下来想想这个组合:1×55% + 3×15%。如果正如法玛博士(以及绝大多数其他学者,更不用说众多从业者)所说——“对大多数人而言,市场组合是最理智的选择”——那你最好充分利用这一点。
Cumulative Return: Portfolio / S&P 500 So Slice and Dice is what you make it. Like all other investment strategies ever devised by the mind of man, sometimes it works and sometimes it doesn’t. Uncertainty rules. Even if the overall program appears to outpace the Index, over a long inevitably period-dependent span of years, don’t forget how little (!) it costs to emulate the total stock market in the real world nor how much (!) it costs to use active funds to fill the S&D boxes, and even to use passive funds to do so. If we take the extra risk into account, there’s a real question about whether the game is worth the candle. And even if you don’t accept my challenge to S&D, I urge you, before you plunge into a 4x25 portfolio, to put more than 25% in the total market—say 55%. Then put just 15% in the three slices that you dice, thereby taking much of the risk out of your decision. Think then, about a 1 x 55% + 3 x 15% portfolio. If it is true, as Dr. Fama (and most other academics, to say nothing of many, many practitioners) says, that “for most people, the market portfolio is the most sensible decision,” you might as well make the most of it.
6. 均值回归与股市。是的,均值回归不仅是股票板块、个股基金以及跨资产类别投资策略的规律,也是股市本身回报率的规律。如果我们回顾一个世纪的股市历史(使用杰里米·西格尔的数据),很容易就能描绘出来:股票的实际(经通胀调整后)收益率平均为每年 6.6%,但波动幅度相当大。这幅宏大的图景显示,最高的十年年化收益率大约在 15% 上下,分别出现在 20 世纪初、20 世纪 20 年代末、60 年代初和 90 年代末。接着,在 1910 年代末、30 年代末和 70 年代末,收益率跌至 2% 或更低,有时甚至为负。由于截至 1998 年的十年间,市场回报率为 15%,这在历史上排名第三,我们只能希望均值回归的威力不会再次全面发作。² 滚动十年期股市实际收益率:1901 - 2001 年 20% 15% 10% 5% 平均值 6.6% 0% -5% 截至该年的十年期 为什么股市在某些时期提供如此高的回报,而在其他时期却提供如此低——甚至为负——的回报?部分原因在于我们经济的运行并非一帆风顺。我们经历了繁荣与衰退,甚至还有盛衰起伏。这仅仅是商业经济的规律,尽管它们可能比过去温和,但并未被驯服。但还有更多因素:投资者的情绪,他们的贪婪在某一时刻导致股票估值过高,而他们的恐惧又在另一时刻导致股票估值过低。正是这种经济与情绪的叠加,塑造了股市的回报率。
6. RTM and The Stock Market And, yes, reversion to the mean is the rule, not only for stock sectors, for individual equity funds, and for investment strategies that mix asset classes, it is also the rule for the returns provided by the stock market itself. If we go back through a century of stock market history (using Jeremy Siegel’s data), it’s easy enough to chart it: The real (inflation-adjusted) return on stocks has averaged 6.6% per year, but with considerable extremes. This powerful panorama shows that the highest ten-year annual returns have ranges around 15%, coming in the mid-1900s, the late 1920s, the early 1960s, and the late 1990s. Then, in the late 1910s, the late 1930s, and the late 1970’s, returns tumbled to 2% or less, sometimes even negative. Since the market’s 15% return in the decade ended in 1998 was the third highest in all history, one can only hope that the full might of RTM does not strike again.2 Rolling 10-Year Stock Market Real Returns: 1901 - 2001 20% 15% 10% 5% Avg. 6.6% 0% -5% Ten Years Ended Why do stocks provide such high returns in some periods and such low—even negative—returns in others? Part of the reason is that the course of our economy is not smooth. We have prosperity and recession, even boom and bust. Those are simply the economics of enterprise, and while they may be tamer than in the past, they are not tamed. But there is more: The emotions of investors, whose greed leads them to value stocks too dearly at one moment and whose fear leads them to value stocks too cheaply at another. It is this combination of economics and emotions that shapes stock market returns.
经济回报体现在投资回报(股息与利润增长)上,情绪回报则体现在投机回报(市盈率变动的影响)上。在过去一个世纪中,实际投资回报率为 6.5%,占市场 6.6% 实际回报的绝大部分,投机回报仅贡献了 0.1%。显然,累计投资回报才是真正的主角——利润与股息年复一年地攀升,有时快些,有时慢些,甚至偶尔还会下滑。关于股市回报,我在《常识》(尤其是附录中对比 1999 年与 1929 年的部分)、《第一个 50 年》(特别是第 4 章)以及过去三年多次演讲(可在先锋基金集团博格尔金融市场研究中心的网站上查阅)中,已详尽探讨过 21 世纪第一个十年的预期股票回报问题。
Economics is reflected in investment return (earnings and dividends), emotions are reflected in the speculative return (the impact of changing price-to-earnings ratios). During the past century, the real investment return was 6.5%, accounting for the lion’s share of the market’s 6.6% real return, with speculative returns contributing just 0.1%. Clearly, the cumulative investment return is the piper that plays the tune, with earnings and dividends climbing year after year—sometimes faster, sometimes slower, sometimes even falling. While stock market returns I’ve often addressed the issue of expected stock returns during the first decade of the 21st century—at length in Common Sense (especially in the appendix that compares 1999 with 1929), in The First 50 Years, (especially Chapter 4), and in numerous speeches over the past three years (available on the Bogle Financial Markets Research Center website at Vanguard.com).
不遗余力地跟着投资的节拍起舞,但每隔一段时间又会或高或低地偏离,看起来像是独立运作。但投资的铁律显而易见:短期来看,投机回报驱动市场;长期来看,只有投资回报才算数。
dance assiduously to the investment tune, but periodically move above or below, seemingly independently. But the iron law of investing is apparent: In the short run, speculative return drives the market. In the long run, investment return is all that matters.
虽然只有对我国资本主义经济将持续繁荣的信心,才能让我们对股息和盈利的长期走势抱有信心,但告诉我们在股价与企业价值出现严重脱节时该如何判断的,不是信心,而是常识。当股票市场的累计总回报与市场的投资回报出现显著背离时,两者重新收敛只是时间问题。这正是均值回归(RTM)发挥作用的地方。这最后一幅揭示性图表,反映的是将累计投资回报拆分为每年末的实际市场回报。结果是:投资回报与市场回报之间的这些异常偏差被清晰地凸显出来。因此,1929 年高峰时价格与价值的背离,随后迎来了 20 世纪 30 年代的崩盘。另一方面,20 世纪 40 年代末和 50 年代初的低估值,为 60 年代中期的狂飙时代和 70 年代初的“最受青睐五十股”(Favorite Fifty)热潮奠定了基础。随之而来的泡沫破裂,又为 1982 年 8 月开始、2000 年 3 月突然结束的大牛市创造了条件。
While only our faith that our nation’s capitalistic economy will continue to thrive can give us confidence in the long-term course of dividends and earnings, it is not faith but common sense that tells us when stock prices get substantially misaligned with corporate values. When the stock market’s cumulative total return diverges significantly from the market’s investment return, then it is only a matter of time until the two converge again. Here is where RTM comes into play. This final telltale chart reflects the division of the cumulative investment return into the actual market return at the end of each year. Result: These aberrations between investment return and market return are dramatically highlighted. Thus, the misalignment of prices with values at the 1929 peak was followed by the crash of the 1930s. On the other hand the low valuations of the late 1940s and early 1950s laid the foundation for the go-go era of the mid-1960s and the “Favorite Fifty” craze of the early 1970s. The resulting bust set the stage for the great bull market that began in August 1982 and ended abruptly in March 2000.
如图表所示,当时市场回报——股票价格——与投资回报——企业价值——之间的背离程度,此前仅有一次比它更严重,因此预测随后的下跌并不算太难。但尽管我们或许能对金融市场的走向了解很多,却永远无法知道它何时发生。事实上,1997 年底该比率达到 120——一个清晰的警示信号——然而它继续攀升,直至 1999 年底触及 150,并在后来被确认为 2000 年市场高峰时进一步升至 160。尽管我们此后承受了 40% 的市场下跌,该比率如今仍停留在 110,依然高于基准线。接下来它去向何方,无人知晓。但历史与均值回归的铁律强烈告诫我们应保持谨慎,因为当前估值依然高企。未来将取决于后续的盈利增长。因此,我们最好期盼美国企业将注意力从近年来那些可怕的金融操纵——专注于短期炒作股价——转回其传统特质——专注于长期构建企业价值。这是一项艰巨得多的任务,因为创新、生产力、效率、节俭——没错,还有领导力与品格——在竞争激烈的全球经济中都是难以企及的标准。但这正是我们的社会必须向企业管家所要求的。
At that point as the chart shows, the disjunction between market returns—stock prices— and investment returns—enterprise values—only once before had been wider, so predicting a subsequent decline was no great challenge. But while we may know a lot about what will happen in the financial market, we never know when it will happen. Indeed the ratio was at 120—a clear warning sign—at the end of 1997. Yet the ratio continued to rise until it hit 150 at the end of 1999, and rose even further to 160 at what proved to be the 2000 peak. Yet despite the subsequent 40% market drop we have so far endured, the ratio remains at 110, still above the baseline. Where it goes next, nobody knows. But history and the iron rule of RTM strongly suggest caution, since valuations remain high today. The future will depend on subsequent earnings growth. So we’d best hope American business turns its attention away from the ghastly financial manipulation of recent years—focused on hyping stock prices in the short-term—and to its traditional character—focusing on building corporate values over the long-term. That’s a far harder job, for innovation, productivity, efficiency, economy—yes, and leadership and character too—are tough standards to measure up to in a competitive global economy. But it is what our society must demand of our corporate stewards.
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。
1 美元的复利增长:基本实际回报 vs. 百年均值回归在股市中的表现
1901 — 2001 年证券市场实际回报 vs. 实际投资回报
$1,000 $2.00
1901 — 2001 年年增长率
$1.75 投资回报 6.5%(盈利增长加股息收益率)
$1.50 $100 市场回报 6.6%(含投机回报*)
$1.25
$1.00 $10
$0.75
$0.50 $1
$0.25
1899 1909 1919 1929 1939 1949 1959 1969 1979 1989 1999
1899 1909 1919 1929 1938 1948 1958 1968 1978 1987 1997
*市盈率变化的影响
此情终将消逝
这张提示图所传达的信息具有普遍性。然而,与爱伦·坡那个恐怖故事中那颗告示之心规律、响亮且越来越清晰的搏动不同,金融市场上均值回归的发生是不规律且不可预测的——有时快,有时慢;时而清晰,时而又几乎隐而不见。正当我们对它的普遍性感到绝望时,它又一次袭来。因此,今天对于那些等待股价几乎必然回升的人而言,希望总是存在的。但我要提醒诸位:虽然我们可能知道会发生什么,却永远不知道何时发生。所以,与其依赖希望——在股市中这从来都不是什么好主意——不如依赖资产配置,它不仅关注获得回报的概率,更重视风险带来的后果。
Growth of $1: Fundamental Real Return vs. A Century of RTM in the Stock Market: Market Real Return, 1901 - 2001 Real Market vs. Real Investment Return, $1,000 $2.00 1901 - 2001 Annual Growth Rate $1.75 Investment Return 6.5 % (earnings growth plus yield) $1.50 $100 Market Return 6. 6 % (includes speculative return*) $1.25 $1.00 $10 $0.75 $0.50 $1 $0.25 1899 1909 1919 1929 1939 1949 1959 1969 1979 1989 1999 1899 1909 1919 1929 1938 1948 1958 1968 1978 1987 1997 *Impact of change in price-earnings ratio This Too Shall Pass Away The message of the telltale chart is universal. Unlike the regular, louder, ever more distinct pulsations of the telltale heart in Poe’s frightening story, however, reversion-to-the-mean in the financial markets is irregular and unpredictable—sometimes fast and sometimes slow, sometimes distinct and sometimes almost invisible. Just when we despair of its universality it strikes again. And so there is always hope—today, for those who await the almost inevitable recovery in stock prices. But I remind you that while we may know what will happen, we never know when. So rather than relying on hope—never a particularly good idea in the stock market— rely on an asset allocation that focuses not only on the probability of reward, but the consequences of risk.
我突然想到,今天我能留给各位的最佳建议,出自十年前我的第一本书。那是一本《买者自负》之书,标题叫“这一切终将过去”——这句话是当年一位东方君主得到的忠告,被描述为“在任何时代、任何情境下都真实而恰当”。我当时把它称为给金融市场投资者的明智箴言,投资者“在市场上扬时觉得自己更富,在市场下跌时觉得自己更穷……尽管构成市场的那些企业,其内在价值可能丝毫未变”。我告诫投资者,不要在牛市氛围中让步,被大众的热情与贪婪所感染,正如不要被熊市氛围所裹挟,被大众的消极与恐惧所左右。我在书中写道,你在投资上的成功,“将取决于你能否在狂喜的巅峰和绝望的谷底都同样认识到:‘这一切终将过去。’”
It occurs to me that the best advice I can leave you with today came in my first book, written ten years ago. It was a Caveat Emptor entitled, “This Too Shall Pass Away,” the advice given to an Eastern monarch that would be “true and appropriate in all times and situations.” I described it as wise advice for investors in the financial markets, who “feel richer when the market rises and poorer when it declines . . . although the underlying value of the business enterprises that comprise the market may have changed not a whit.” I cautioned investors not to give way to a bull market atmosphere and become infected with the enthusiasm and greed of the great public, any more than you should give way to a bear market atmosphere and become infected with the negativism and fear displayed by the great public. Your success in investing, I wrote, “will depend on your ability to realize, at the heights of ebullience and the depths of despair alike that ‘This too shall pass away.’”
我简直等不及了!
I can hardly wait!
注:本演讲中所表达的观点并不必然代表先锋集团现任管理层的看法。© 2002 年版权为约翰·C·博格所有
Note: The opinions expressed in this speech do not necessarily represent the views of Vanguard’s present management. © Copyright 2002 by John C. Bogle