体育界的灵感
Memo to:
Memo to:
Oaktree Clients
Oaktree Clients
From:
From:
Howard Marks
Howard Marks
Re:
Re:
来自体育世界的启发
Inspiration from the World of Sports
我一直对投资与体育之间的相似之处深感着迷。这些相似之处既富有启发性,又趣味盎然,因此促成了我过去写下的两份备忘录:《比赛应当如何进行》(1995 年 5 月)和《你的比赛计划是什么?》(2003 年 9 月)。在后一份备忘录中,我列出了投资与体育相似的五个方面:
I’m constantly intrigued by the parallels between investing and sports. They’re illuminating as well as fun, and thus they’ve prompted two past memos: “How the Game Should Be Played” (May 1995) and “What’s Your Game Plan?” (September 2003). In the latter memo, I listed five ways in which investing is like sports:
这里竞争激烈——有人成功有人失败,差别一目了然。
它看数据说话——结果黑白分明,看得清清楚楚。
它论功行赏——长期来看,回报更高的一方属于技艺更胜一筹的投资者。
它讲究团队协作——有效的团队能比单打独斗干出更多成绩。
它令人满足也充满乐趣——但赢的时候更是如此。
It’s competitive – some succeed and some fail, and the distinction is clear. It’s quantitative – you can see the results in black and white. It’s a meritocracy – in the long term, the better returns go to the superior investors. It’s team-oriented – an effective group can accomplish more than one person. It’s satisfying and enjoyable – but much more so when you win.
后来我又想到投资与体育类比的一个新角度:投资生涯就像一场没有固定节数的篮球赛或橄榄球赛。到了 12 月 31 日,我们可能已经积累了可观的年内回报,或者大幅领先基准指数和竞争对手,但 1 月 1 日一到,我们还得再战一年。我们的成绩单要等到彻底离开赛场那天才算定格。正如约吉·贝拉所说:“比赛不到结束,就还没结束。”正是约吉在 9 月底的去世,促成了这份备忘录的写作。[由于本备忘录中大部分内容涉及美国体育,及其独特的规则和术语,在此向不熟悉这些内容的读者表示歉意。]
Another angle on the investing/sports analogy has since occurred to me: an investment career can feel like a basketball or football game with an unlimited number of quarters. We may be nearing December 31 with a substantial year-to-date return or a big lead over our benchmarks or competitors, but when January 1 rolls around, we have to tackle another year. Our record isn’t finalized until we leave the playing field for good. Or as Yogi Berra put it, “It ain’t over till it’s over.” It was Yogi’s passing in late September that inspired this memo. [Since most of the references in this memo are to American sports, with their peculiarities and unique terminology, this is a good time for an apology to anyone who’s unfamiliar with them.]
约吉·贝拉,棒球运动员
劳伦斯“约吉”·贝拉在 1946 年至 1963 年间担任纽约洋基队捕手长达十八年。虽然他在任何进攻数据上很少排名第一,但在打点、本垒打、长打(二垒打、三垒打和本垒打)、垒打数和长打率(每次上场击球所得垒打数)等项目中,他常常跻身前十。他在防守端的表现更为出色:20 世纪 50 年代,在捕手的刺杀、助杀、策动双杀、被偷垒和阻杀盗垒者等指标上,他稳定排在前三四名。
约吉从 1948 年到 1962 年每年都入选全明星赛。从 1950 年到 1956 年,他每年都是美国联盟最有价值球员投票的前三名之一,并在其中三年当选 MVP。他效力的洋基队十四次赢得美国联盟冠军并代表联盟参加世界大赛,十次捧得世界大赛桂冠。他是体育史上最伟大王朝之一的重要成员。
在我看来,约吉最突出的特质是稳定。他不仅在众多不同数据上表现出色,而且:
Yogi Berra, Baseball Player Lawrence “Yogi” Berra was a catcher on New York Yankees baseball teams for eighteen years, from 1946 to 1963. Although he was rarely number one in any offensive category, he often ranked among the top ten players in runs batted in, home runs, extra-base hits (doubles, triples and home runs), total bases gained and slugging percentage (total bases gained per at bat). He excelled even more on defense: in the 1950s he was regularly among the top three or four catchers in terms of putouts, assists, double plays turned, stolen bases allowed and base stealers thrown out. Yogi was selected to play in the All-Star Game every year from 1948 through 1962. He was among the top three vote-getters for American League Most Valuable Player every year from 1950 through 1956, and he was chosen as MVP in three of those years. The Yankee teams on which he played won the American League pennant and thus represented the league in the World Series fourteen times, and they won the World Series ten times. He was an important part of one of the greatest dynasties in the history of sports. To me, the thing that stands out most is Yogi’s consistency. Not only did he perform well in so many different categories, but also:
他在美国联盟连续八个赛季担任艰苦的捕手位置,参赛场次位居联盟之首。
He led the American League in number of games played at the grueling catcher position eight years in a row.
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他常年是失误和漏接球最少的捕手之一。多数赛季他有约 450 至 650 次上场打击,但整个职业生涯平均每年仅被三振 24 次,从未有一个赛季被三振超过 38 次。(1950 年,他在近 600 次上场打击中仅被三振 12 次。)因此,1948 年至 1959 年间,他有十次位列每次上场打击被三振次数最少的十名球员之列。
He was regularly among the catchers with the fewest passed balls and errors committed. He had around 450-650 at bats most years, but over his entire career he averaged only 24 strikeouts per year, and there was never one in which he struck out more than 38 times. (In 1950 he did so only 12 times in nearly 600 at bats.) Thus, ten times between 1948 and 1959 he was among the ten players with the fewest strikeouts per plate appearance.
简而言之,约吉很少搞砸。
一贯性和将错误最小化,是约吉职业生涯的两大特质,也是顶尖投资者至关重要的资产。这并非投资者出类拔萃的唯一途径:有些伟大的投资者经常挥棒落空,却像雷吉·杰克逊那样,一连串打出全垒打。雷吉——因在世界大赛中屡建奇功而获“十月先生”绰号——是有史以来最顶尖的全垒打高手之一。但他也保持着职业生涯被三振出局次数最多的纪录,而且他的三振对全垒打比率是约吉的四倍:4.61 对 1.16。一贯性和将错误最小化,在我和橡树资本的重点关注事项中始终名列前茅,现在依然如此。
In short, Yogi rarely messed up. Consistency and minimization of error are two of the attributes that characterized Yogi’s career, and they can also be key assets for superior investors. They aren’t the only ways for investors to excel: some great ones strike out a lot but hit home runs in bunches the way Reggie Jackson did. Reggie – nicknamed “Mr. October” because of his frequent heroics in the World Series – was one of the top home run hitters of all time. But he also holds the record for the most career strikeouts, and his ratio of strikeouts to home runs was four times Yogi’s: 4.61 versus 1.16. Consistency and minimization of error have always ranked high among my priorities and Oaktree’s, and they still do.
瑜伽·贝拉,哲学家
虽然瑜伽是史上最伟大的球员之一,但他在棒球上的成就,如今这一代球迷可能已鲜少记得,非体育爱好者更是知之甚少。他大概更为人熟知的是他说过的那些话:
- 没人再去那儿了,因为那儿总是人满为患。
- 当你走到岔路口时,只管走。
- 你可以观察出很多门道,只要用心去看。
- 未来不再是过去那个样子了。
- 这里太拥挤了,大家都涌向那儿去了。
- 那都是陈词滥调,直到它不再如此。
- 如果你不知道怎么去那儿,你永远到不了。
- 这就像似曾相识,一切都重来一遍。
Yogi Berra, Philosopher Although Yogi was one of the all-time greats, his baseball achievements may be little-remembered by the current generation of fans, and few non-sports lovers are aware of them. He’s probably far better known for the things he said:
这感觉就像旧日重现。
当你走到人生的岔路口,直接走就行。
你只要观察,就能发现很多。
总是去参加别人的葬礼,否则他们也不会来参加你的。
我知道纪录会一直保持下去,直到被打破。
未来已不是往昔的模样。
要是我们赢了,你们就不会赢了。
我说过的话,大多并非出自我的口中。
It’s like déjà vu all over again. When you come to a fork in the road, take it. You can observe a lot by just watching. Always go to other people’s funerals, otherwise they won’t come to yours. I knew the record would stand until it was broken. The future ain’t what it used to be. You wouldn’t have won if we’d beaten you. I never said most of the things I said.
我此前几份备忘录里引用过约吉的话,上面这份清单开头那条约吉语录,我还借用过来当了 2012 年一份备忘录的标题。俗话说,“孩童口中出真言”。这位没受过教育的棒球手也是如此,约吉那些看似不合逻辑的话,细琢磨之下往往意味深长。
“棒球是九成靠心智,另外一半靠身体。”这是约吉的又一句名言,我觉得用来想投资的事特别受用。要跑赢市场,九成的功夫或许花在财务分析上,但你还得再搭上五成去理解人的行为。市场是人组成的,要打败它,你得既懂你打算投资的东西,又懂人。
我有时候做个讲座,叫“投资的人性面”。核心意思就这么一点:投资既要靠会计、经济和金融的知识,也得靠对心理的洞察。为什么?因为投资者的客观和理性,很少能像投资理论假设的那样占上风,反倒常常是情绪和“人性”接管一切。所以我那个讲座还有个副标题:“理论上,理论和实践没差别;实践上,有差别。”这句话也是约吉说的,我觉得妙极了。
I’ve cited Yogi’s statements in previous memos, and I borrowed the Yogi-ism at the top of the list above for the title of one in 2012. “Out of the mouths of babes,” they say, comes great wisdom. The same was true for this uneducated baseball player, and many of Yogi’s seeming illogicalities turn out to be profound upon more thorough examination. “Baseball is ninety percent mental and the other half is physical.” That was another of Yogi’s dicta, and I think it’s highly useful when thinking about investing. Ninety percent of the effort to outperform may consist of financial analysis, but you need to put another fifty percent into understanding human behavior. The market is made up of people, and to beat it you have to know them as well as you do the thing you’re considering investing in. I sometimes give a presentation called, “The Human Side of Investing.” Its main message surrounds just that: while investing draws on knowledge of accounting, economics and finance, it also requires insight into psychology. Why? Because investors’ objectivity and rationality rarely prevail as much as investment theory assumes, and emotion and “human nature” often take over instead. That’s why my presentation is subtitled, “In theory there’s no difference between theory and practice. In practice there is.” Yogi said that, too, and I think it’s absolutely wonderful.
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事情往往不会像投资理论预期的那样运转。市场本该是有效的,找不到被低估的机会,也避不开被高估的陷阱,因此跑赢大盘是不可能的。但例外情况总是层出不穷,它们通常更多归咎于人性的缺陷,而非数学上的失误或数据上的疏漏。
这让我想起约吉·贝拉那句最发人深省的“名言”之一,关于他挑选餐馆的诀窍:“没人去那儿了,因为那儿太挤了。”还有比这更荒唐的话吗?如果没人去,那儿怎么会挤?如果那儿挤,你又怎么能说没人去?
但正如我上个月在《没那么容易》一文中所写,许多被广泛接受的投资智慧同样缺乏逻辑。而其中最伟大、也最有害的一条,便是推动大多数泡沫背后那近乎一致的狂热。
“人人都知道这是绝佳的买点,”他们这样说。这话同样说不通。如果每个人都相信这是便宜货,它怎么可能没被大众抢购一空,价格因而被抬升到不再便宜的地步?你我都知道,所有投资者都看好的东西,不太可能代表好的投资机会。可大多数泡沫,不正是被这样的信念所驱动的吗?
Things often fail to work the way investment theory says they should. Markets are supposed to be efficient, with no underpricings to find or overpricings to avoid, making it impossible to outperform. But exceptions arise all the time, and they’re usually attributable more to human failings than to math mistakes or overlooked data. And that leads me to one of the most thought-provoking Yogi-isms, concerning his choice of restaurant: “Nobody goes there anymore because it’s too crowded.” What could be more nonsensical? If nobody goes there, how can it be crowded? And if it’s crowded, how can you say nobody goes there? But as I wrote last month in “It’s Not Easy,” a lot of accepted investment wisdom makes similarly little sense. And perhaps the greatest – and most injurious – of all is the near-unanimous enthusiasm that’s behind most bubbles. “Everyone knows it’s a great buy,” they say. That, too, makes no sense. If everyone believes it’s a bargain, how can it not have been bought up by the crowd and had its price lifted to non-bargain status as a result? You and I know the things all investors find desirable are unlikely to represent good investment opportunities. But aren’t most bubbles driven by the belief that they do?
1968 年,人人都知道美国最优秀公司的“漂亮五十”股票代表着令人心动的价值,即便它们的市盈率已经达到 80 或 90 倍。这种信念让它们维持在高位……一段时间。
In 1968, everyone knew the Nifty Fifty stocks of the best companies in America represented compelling value, even after their p/e ratios had reached 80 or 90. That belief kept them there . . . for a while.
2000 年,人人都觉得科技投资万无一失,科技股只会涨个不停。大家坚信互联网会改变世界,互联网公司的股票无论什么价位都值得买。正是这种想法,把 TMT 泡沫推上了顶峰。
In 2000, everyone thought tech investing was infallible and tech stocks could only rise. And they were sure the Internet would change the world and the stocks of Internet companies were good buys at any price. That’s what took the TMT boom to its zenith.
2015 年的当下,人人都知道社交媒体公司将主宰未来。但它们的估值最终能否站得住脚?
And here in 2015, everyone knows social media companies will own the future. But will their valuations turn out to be warranted?
从逻辑上讲,大家都深信不疑的便宜货,不可能依然是便宜货……但这并不妨碍人们对它们情有独钟。约吉以间接的方式点出了“常识”中的不合逻辑之处,这一点说得没错。只要人们对事物的反应做不到理性而克制,好处就会落到那些能看穿这一矛盾的人手里。
Logically speaking, the bargains that everyone has come to believe in can’t still be bargains . . . but that doesn’t stop people from falling in love with them nevertheless. Yogi was right in indirectly highlighting the illogicality of “common knowledge.” As long as people’s reactions to things fail to be reasonable and measured, the spoils will go to those who are able to recognize this contradiction.
寻找兰斯·邓巴
美国可能还有一些人和世界其他地方的人一样,并不知道每日梦幻橄榄球正越来越流行。在这款线上游戏中,参赛者组建由真实职业球员组成的虚拟橄榄球队。当一周的实际橄榄球比赛进行时,参赛者根据球员在现实中的表现获得“梦幻积分”,积分最高的参赛者赢得现金奖励。(为什么跨州投注梦幻橄榄球就合法,投注真正的橄榄球就不行?因为支持者说服了当局,认为为梦幻橄榄球挑选球队算是一种技巧游戏,而非碰运气。但上周,内华达州成为第六个禁止每日梦幻体育的州,认定这其实就是赌博。)梦幻橄榄球的广告词是这样的:“注册、选人、领奖金。”听起来容易得很……而且和牛市里折扣券商的广告没什么两样。
在每日梦幻橄榄球中,挑战在于参赛者手里的钱有限,却想组建一支最好的球队。如果所有球员价格都一样
Looking for Lance Dunbar There may be a few folks in America who, like the rest of the world’s population, are unaware of the growing popularity of daily fantasy football. In this on-line game, contestants assemble imaginary football teams staffed by real professional players. When that week’s actual football games are played, the participants receive “fantasy points” based on their players’ real-world accomplishments, and the participants with the most points win cash prizes. (Why is it okay to engage in interstate betting on fantasy football but not on football itself? Because proponents were able to convince the authorities that the act of picking a team for fantasy football qualifies it as a game of skill, not chance. But last week, Nevada became the sixth state to ban daily fantasy sports, concluding that it’s really nothing but gambling.) The commercials for fantasy football say things like, “Sign up, make your picks, and collect your winnings.” That sounds awfully easy . . . and not that different from discount brokers’ ads during bull markets. In daily fantasy football, the challenge comes from the fact that the participants have a limited amount of money to spend and want to acquire the best possible team for it. If all players were priced the same
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不论参与者能力高低(完全无效的市场),大奖都会归于最善于识别天才球员的人。如果所有球员的价格都与其能力精确匹配(完全有效的市场),那么用同样的预算就不可能买到一支更强的队伍,胜负将取决于随机事件。
梦幻橄榄球中的球员市场似乎并非完全有效。因此,参与者有机会发现定价错误。一颗明星可能被高估,花在他身上的每美元只能换来很少的梦幻积分。而一名普通球员可能被低估,他能贡献的冲球(即跑动)码数、接球、擒抱或达阵,比他的价格所反映的要多。这正是与投资相通之处。
聪明的梦幻橄榄球参与者明白,目标不是买最好的球员,也不是买绝对价格最低的球员,而是买那些“薪水”低于其价值的球员——他们相对于自身潜力被低估,下一场比赛可能累积的积分高于他们被选秀时的成本所反映的水平。同样,聪明的投资者知道,目标不是找最好的公司,也不是找绝对股价或市盈率最低的股票,而是找那些潜力未被价格完全反映的标的。在这两个竞争场上,大奖都归于那些看到别人忽视的价值的人。
还有另一相似之处。体育媒体聘请“专家”来报道这个虚构的橄榄球联赛,他们的工作就是通过推荐选秀球员来吸引观众和读者。(这让你想起其他哪些纸上谈兵的人?)我对梦幻橄榄球的思考始于九月下旬,当时我听到一位电视评论员敦促参与者关注兰斯·邓巴,达拉斯牛仔队的一名跑卫,理由是邓巴的价格可能低估了他赚取梦幻积分的潜力。这位评论员的论点是,牛仔队的明星四分卫受伤了,由于替补四分卫的打法,邓巴可能获得更多机会——并跑出更多码数——超过他价格所暗示的水平。因此,邓巴可能代表一个被低估的投资机会。
也可能不是。邓巴在下一场比赛中撕裂了前交叉韧带,这意味着他本赛季不会再贡献任何积分——无论是真实的还是虚拟的。这恰恰证明了即使你的判断正确,随机性也对结果有很大影响。你永远不知道球会朝哪个方向弹。
“报名,选人,然后拿奖金。”要是所有人都——无论是梦幻橄榄球参赛者还是投资者——明白事情没那么简单就好了。
regardless of their ability (a completely inefficient market), the prize would go to the participant who’s most able to identify talented players. And if all players were priced precisely in line with their ability (a completely efficient market), it would be impossible to acquire a more talented team for the same budget, so winning would hinge on random developments. The market for players in fantasy football appears to be less than completely efficient. Thus participants have the possibility of finding mispricings. A star may be overpriced, so that he produces few fantasy points per dollar spent on him. And a journeyman might be underpriced, able to produce more rushing (i.e., running) yards, catches, tackles or touchdowns than are reflected by his price. That’s where the parallel to investing comes in. Smart fantasy football participants understand that the goal isn’t to acquire the best players, or players with the lowest absolute price tags, but players whose “salaries” understate their merit – those who are underpriced relative to their potential and might amass more points in the next game than the cost to draft them reflects. Likewise, smart investors know the goal isn’t to find the best companies, or stocks with the lowest absolute dollar prices or p/e ratios, but the ones whose potential isn’t fully reflected in their price. In both of these competitive arenas, the prize goes to those who see value others miss. There’s another similarity. Sports media employ “experts” to cover this imaginary football league, and it’s their job to attract viewers and readers by offering advice on which players to draft. (What other talking heads does that remind you of?) My musings on fantasy football started in late September, when I heard a TV commentator urge that participants take a look at Lance Dunbar, a running back for the Dallas Cowboys, based on the belief that Dunbar’s price might understate his potential to earn fantasy points. The commentator’s thesis was that the Cowboys’ star quarterback was injured and, because of the replacement quarterback’s playing style, Dunbar might get more opportunities – and run up more yardage – than his price implied. Thus, Dunbar might represent an underappreciated investment opportunity. Or not. Dunbar tore his anterior cruciate ligament in the next game, meaning he won’t produce any more points – real or virtual – this season. It just proves that even if your judgment is sound, randomness has a lot of influence on outcomes. You never know which way the ball will bounce. “Sign up, make your picks, and collect your winnings.” If only everyone – fantasy football entrants and investors alike – understood it’s not that easy.
“帮手”真能帮上忙吗?
在投资领域,有大量的人愿意为你提升收益……当然,是要收费的。在伯克希尔·哈撒韦 2005 年年报的寓言式论述中,沃伦·巴菲特称他们为“帮手”。体育圈里也有帮手,尤其是在涉及博彩的地方。这份备忘录给了我一个机会,来讨论九个月前我收集到的一份极有价值的剪报,我一直想找个机会提它。
《纽约邮报》的体育专栏作者每周都会发表观点,告诉读者该押哪场职业橄榄球赛(真比赛,不是幻想体育)。该报每周都会公布截至当周的赛季预测结果。去年 12 月 28 日他们公布结果时,也许自以为证明了那些帮手们的价值。但我认为,那份统计表——在橄榄球赛季接近尾声时发布——展示的却是截然不同的东西。
Are the Helpers Any Help? In investing, there are a lot of people who’ll offer to enhance your results . . . for a fee. In an allegorical treatment in Berkshire Hathaway’s 2005 annual report, Warren Buffett called them “Helpers.” There are helpers in sports, too, especially where there’s betting. This memo gives me a chance to discuss an invaluable clipping on the subject that I collected nine months ago and have been looking for an occasion to mention. The New York Post’s sports writers opine weekly as to which professional football games readers should bet on (real games, not fantasy). Each week, the Post reports on the results of the prognostications for the season to date. When they published the results last December 28, they might have thought they demonstrated the value of those helpers. But I think that tabulation – nearly at the end of the football season – showed something very different.
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到了 12 月 28 日,这十一位预测者已经尝试预测了当时已进行的 237 场比赛的胜者,以及他们自认为的约 47 个“最佳投注”。我猜,所谓“胜者”,他们指的是扣除博彩公司“让分”后的赢家。(如果不设法让赔率变得均衡,赌客们太容易靠押注热门队伍就赢钱了。为了让投注更具挑战性,博彩公司为每场比赛设定一个让分:即热门队伍必须赢过冷门队伍多少分,才能在博彩意义上被视为胜者。)《邮报》的预测命中率有多高呢?答案如下:
By the time December 28 had rolled around, the eleven forecasters had tried to predict the winner of each of the 237 games that had been played to date, as well as what they thought were their 47 or so “best bets.” By “the winner,” I assume they meant the team that would win net of the bookies’ “point spread.” (Without doing something to even the odds, it would be too easy for bettors to win by backing the favorites. To make betting more of a challenge, the bookies establish a spread for each game: the number of points by which the favored team has to beat the underdog in order to be deemed the winner for betting purposes.) How often were the Post’s picks correct? Here’s the answer:
Percentage correct
Percentage correct
总评选次数(2607 场)
Total picks (2,607 games)
最佳押注(522 场比赛)
Best bets (522 games)
所有预测机构
预测中位数机构
All forecasters Median forecaster
50.9%
50.6
50.9% 50.6
49.4%
47.9
49.4% 47.9
最佳预测者
最差预测者
Best forecaster Worst forecaster
58.5
44.8
58.5 44.8
56.2
39.6
56.2 39.6
一个无可救药的乐观主义者——或者也许《华盛顿邮报》——可能会说,这些结果恰恰表明预测者作为一个群体干得有多出色,因为有些人预测对的次数比错的次数多。但那不是重点。对我而言,关键的结论是这样的:
An incorrigible optimist – or perhaps the Post – might say these results show what a good job the forecasters did as a group, since some were right more often than they were wrong. But that’s not the important thing. For me, the key conclusions are these:
平均成绩确实让人觉得,猜足球胜负(扣除让分盘口)就像一场五五开的赌博。显然,那些设定让分盘口的人相当擅长他们的工作,因此很难预知哪支队伍会赢。
The average results certainly make it seem that picking football winners (net of the points spread) is just a 50/50 proposition. Evidently, the folks who establish the point spreads are pretty good at their job, so that it’s hard to know which team will win.
结果呈对称分布,且都围绕 50% 聚拢,这说明预测足球比赛胜者没什么技巧可言(就算真有技巧,这些预测者也不具备)。与 50% 的偏差很小——无论正负——表明,为了下注而挑选会赢的球队,可能跟抛硬币差不多。
The symmetrical distribution of the results and the way they cluster around 50% tell me there isn’t much skill in predicting football winners (or, if it exists, these pickers don’t have it). The small deviations from 50% – both positive and negative – suggest that picking winning football teams for betting purposes may be little more than a matter of tossing a coin.
即便是最出色的预测者,其正确率也难超半数。我虽非统计学家,但怀疑少数人预测命中率在 56% 至 58% 之间,而非恰好 50%,这能否证明是技艺而非运气所致,实为可疑。回溯抛硬币的例子,若你掷币 47 次(甚至 237 次),偶尔出现 58% 的正面结果,也并非不可能。
Even the best forecasters weren’t right much more than half the time. While I’m not a statistician, I doubt the fact that a few people were right on 56-58% of their picks rather than 50% proves it was skill rather than luck. Going back to the coin, if you flipped one 47 times (or even 237 times), you might occasionally get 58% heads.
最后,全部十一位作者集体——其中七位单独来看——在他们自认为“最有把握的比赛”上的表现,反而比其余比赛更差。可见,他们显然无法准确评估自己预测的可靠性。
Lastly, all eleven writers collectively – and seven of them individually – had worse results on the games they considered their “best bets” than on the rest of the games. So clearly they aren’t able to accurately assess the validity of their own forecasts.
请记住,这些预测并非出自普通大众,而是出自那些靠追踪和报道体育赛事为生的人。关于预测,我最喜欢的一句话来自约翰·肯尼斯·加尔布雷斯:“我们有两类预测者:一类是不知道自己不知道的,另一类是不知道自己不知道的。”显然,这些预测者确实不知道。但他们自己知道吗?他们的读者知道吗?挑选足球比赛赢家的底线似乎是,普通预测者的正确率只有一半,少数例外在数量上相对较少,程度上无足轻重,可能纯属运气。他不如直接抛硬币。这就把我们带回了投资,因为我发现这与
And remember, these forecasts weren’t made by members of the general populace, but rather by people who make their living following and writing about sports. My favorite quotation on the subject of forecasts comes from John Kenneth Galbraith: “We have two classes of forecasters: Those who don’t know – and those who don’t know they don’t know.” Clearly these forecasters don’t know. But do they know it? And do their readers? The bottom line on picking football winners seems to be that the average forecaster is right half the time, with exceptions that are relatively few in number, insignificant in degree and possibly the result of luck. He might as well flip a coin. And that brings us back to investing, since I find this analogous to the
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一个基本观察是:普通投资者的回报等于市场平均水平。他同样不如抛硬币……或者买指数基金。
顺便说一句,两个领域中参与者的平均结果,都发生在扣除交易成本和费用之前。扣费之后,普通投资者的回报低于市场水平。同理,扣费之后,普通赌球者也无法做到不亏不赚。
什么费用?在体育博彩里,我们说的不是管理费或经纪佣金,而是“抽成”或“水钱”。维基百科解释说,它“也叫抽头、提成或抽利……是博彩公司向赌客收取的金额,用于承接赌注。”这个生僻术语说的是:想从庄家手里赢 10 美元,你得先押上 11 美元。赢了你拿回 10 美元,输了你赔掉 11 美元。注意:庄家和博彩场所不是做慈善的。
如果你跟朋友对赌,胜负各半,最后不赚不亏。但你要是跟庄家或博彩场所对赌,胜负各半,平均下来每两注就输掉下注金额的 10%。
所以,每场押 10 美元,如果跟着《纽约邮报》的足球推荐下注到 2014 年 12 月 28 日,猜对的 1328 场能赢 13280 美元,但猜错的 1279 场会输掉 14069 美元。总体算下来,虽然猜对率略超一半,他还是亏了 789 美元。这就是你在一个成本高、胜率不足甚至毫无优势的游戏中下注的下场。
observation that the average investor’s return equals the market average. He, too, might as well flip a coin . . . or invest in an index fund. And by the way, the average participant’s average result – in both fields – is before transaction costs and fees. After costs, the average investor’s return is below that of the market. In that same vein, after costs the average football bettor doesn’t break even. What costs? In sports betting, we’re not talking about management fees or brokerage commissions, but “vigorish” or “the vig.” Wikipedia says it’s “also known as juice, the cut or the take . . . the amount charged by a bookmaker . . . for taking a bet from a gambler.” This obscure term refers to the fact that to try to win $10 from a bookie, you have to put up $11. You’re paid $10 if you win, but you’re out $11 if you lose. N.b.: bookies and sports betting parlors aren’t in business to provide a public service. If you bet against a friend and win half the time, you end up even. But if you bet against a bookie or a betting parlor and win half the time, on average you lose 10% of the amount wagered on every other bet. So at $10 per game, a bettor following the Post’s football helpers through December 28, 2014 would have won $13,280 on the 1,328 correct picks but lost $14,069 on the 1,279 losers. Overall, he would have lost $789 even though slightly more than half the picks were right. That’s what happens when you play in a game where the costs are high and the edge is insufficient or non-existent.
再谈业绩评估
这份备忘录让我有机会谈及另一桩近期体育盛事:第四十九届超级碗,今年二月举行。我要回到一个我在《“猪草”》(2006 年 2 月)中“什么才是真实”一节里详细论述过的主题,那篇文章讲的是名为阿玛兰斯的对冲基金的崩盘。我试图解读阿玛兰斯事件的方式之一,是拿 2005 年大学橄榄球赛季末决出全国冠军的玫瑰碗比赛做类比。那场比赛中,得克萨斯大学击败了被看好的南加州大学。南加大在领先五分、比赛还剩不到三分钟时,遇到了四档两码的转换局面。他们输球很大程度上是因为——在选择并非显而易见的情况下——教练决定强攻而非弃踢,结果差一码被挡下。得州大学拿到球权,随后达阵制胜。赛前,南加大普遍被视为大学橄榄球史上最伟大的球队之一。赛后,再无此类议论。他们的失利系于那一次极具争议的进攻……争议主要因为它没成功。(若南加大拿下两码获得首攻,他们就能保住球权,耗光时间,锁定胜局。)
今年超级碗发生了非常相似的一幕。西雅图海鹰队落后新英格兰爱国者队几分。二档进攻,只剩 26 秒,还有一次暂停,海鹰队在爱国者队一码线上持球。所有人都认定他们会把球交给马肖恩·林奇冲跑(林奇在常规赛中达阵冲球数排名联盟第一,冲球码数第四),而他会完成制胜达阵。但海鹰队特立独行的教练皮特·卡罗尔——讽刺的是,他也是当年玫瑰碗输球的南加大的教练——却选择了传球进攻。爱国者队抄截了传球,海鹰队的冠军梦就此终结。“卡罗尔真是个白痴,”球迷怒吼。“谁都知道传球只有三种结果(接住、漏接或被抄截),其中两种都是坏事。”海鹰队输掉了一场看似胜券在握的比赛,卡罗尔因过于大胆而铸错再次被口诛笔伐……他的决定没成功。可是,这决定错了吗?
Another Look at Performance Assessment This memo gives me an opportunity to touch on another recent sporting event: Super Bowl XLIX, which was played last February. I’m returning to a subject I covered at length in the “What’s Real?” section in “Pigweed” (February 2006), which was about the meltdown of a hedge fund called Amaranth. Among the ways I tried to parse the events surrounding Amaranth was through an analogy to the Rose Bowl game played at the end of the 2005 college football season to determine the national champion. In the game, the University of Texas beat the favored University of Southern California. While leading by five points with less than three minutes left to play, USC had a fourth down with two yards to go for a first down. They lost largely because – in something other than the obvious choice – the coach elected to go for it rather than punt the ball away, and they were stopped a yard short. UT got the ball and went on to score the winning touchdown. Before the game, USC had widely been considered one of the greatest teams in college football history. Afterwards there was no more talk along those lines. Its loss hinged on that one very controversial play . . . controversial primarily because it was unsuccessful. (Had USC made the two yards and earned a first down, they would have retained the ball and been able to run out the clock, sealing a victory.) Something very similar happened in this year’s Super Bowl. The Seattle Seahawks were trailing the New England Patriots by a few points. On second down, with just 26 seconds to go and one timeout remaining, the Seahawks had the ball on the Patriots’ one-yard line. Everyone was sure they would try a run by Marshawn Lynch (who in the regular season had ranked first in the league in rushing touchdowns and fourth in rushing yards), and that he would score the winning touchdown. But the Seahawks’ maverick coach, Pete Carroll – ironically, also the coach of USC’s losing Rose Bowl team – tried a pass play instead. The Patriots intercepted the pass, and the Seahawks’ dreams of a championship ended. “What an idiot Carroll is,” the fans screamed. “Everyone knows that when you throw a pass, only three things can happen (it’s caught, it’s dropped or it’s intercepted) and two of them are bad.” The Seahawks lost a game they seemed to be on the verge of winning, and Carroll was vilified for being too bold and wrong . . . again. His decision was unsuccessful. But was it wrong?
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在橡树资本房地产部门沃伦·明的协助下,我想指出卡罗尔在做出决定时可能考虑的一些因素:
With assistance from Warren Min in Oaktree’s Real Estate Department, I want to point out some of the considerations that Carroll may have taken into account in making his decision:
截至那个赛季的该阶段,从一码线处已尝试了超过 100 次传球,但无一被拦截。因此,卡罗尔无疑预期,即便最坏情况发生,传球未完成,计时也会停止(传球未完成后会如此),且仅消耗短短几秒。这将为海鹰队留下再打一两次进攻的时间。
Up to that point in the season, more than 100 passes had been attempted from the one-yard line, and none of them had been intercepted. So Carroll undoubtedly expected that, at the very worst, the pass would be incomplete and the clock would stop (as it does after incomplete passes) with just a few seconds elapsed. That would have given the Seahawks time for one or two more plays.
比赛只剩 26 秒,海鹰队叫了最后一个暂停。如果他们选择跑球,而林奇被拦下,时钟会继续走(跑球进攻后时钟不停表)。西雅图队要么用掉宝贵的暂停,要么仓促进攻,别无选择。
With only 26 seconds remaining and the Seahawks down to their last timeout, if they ran and Lynch was stopped, the clock would have kept running (as it does after rushing plays). Seattle would then have been forced to either use their precious timeout or try a hurried play.
马尔科姆·巴特勒,这位拦截西雅图传球的防守球员,当时还是一名新秀,正在他人生中最重大的比赛中上场,而与他防守的接球手里卡多·洛克特相比,他的体型明显偏小。
Malcolm Butler, the defender who intercepted Seattle’s pass, was a rookie playing in the biggest game of his life, and he was undersized relative to Ricardo Lockette, the wide receiver to whom the pass was thrown.
据《波士顿环球报》报道,林奇在 2014 年常规赛期间共持球 281 次,其中 20 次导致丢失码数,另有 2 次造成掉球。换句话说,海鹰队在林奇持球时有 7.8% 的概率遭遇挫折。此外,2014 年林奇曾在 1 码线处接球 5 次,但仅成功得分 1 次,成功率仅 20%。因此,面对一支预料到他会冲球的防守队,林奇能否顺利推进那一码,绝非板上钉钉之事。
According to The Boston Globe, of Lynch’s 281 carries during the 2014 regular season, 20 had resulted in lost yardage and two more had yielded fumbles. In other words, the Seahawks had experienced a setback 7.8% of the time when Lynch carried the ball. Further, Lynch had been handed the ball at the one-yard line five times in 2014, but he scored only once, for a success rate of 20%. Thus it was no sure thing that Lynch would be able to gain that needed yard against a defense expecting him to run.
对第一层思维的人来说,卡罗尔的传球决定看起来是个明显的错误。也许是因为优秀跑卫看起来那么可靠,也许是因为传球通常显得不确定。又或许只是因为传球被截断、比赛输了:结果强烈地左右着人们的看法。第二层思维的人会看到,那个显而易见的做法——跑球——远非稳操胜券,而做那个不那么明显的选择——传球——或许能让海鹰队占据出其不意的优势,并且更好地掌控时间。卡罗尔做出了决定,结果失败了,但这并不能证明他错了。
我的同事沃伦给我写了这样一段话:
媒体和那些“纸上谈兵的人”完全压过了这次传球决定的讨论,原因只有一个数据点:传球被拦截,海鹰队输掉了比赛。但我不认为这是个糟糕的决定。事实上,我觉得这是个考虑非常周全的决定,如果更多人掌握全部数据,并有充足时间分析局面,他们也可能做出同样的选择。正如你常说的,不能以结果来评判决策的质量。如果我们能以某种方式在平行现实中重演这场比赛来检验结果,我想海鹰队的决定看起来不会那么糟。但他们确实输了,或许是因为运气不好。现在,就像南加州大学对阵得克萨斯大学那次一样,媒体已经写下了不少围绕球员传承的重要叙事。
To the first-level thinker, Carroll’s decision to pass looks like a clear mistake. Maybe that’s because great running backs seem so dependable, or because passing generally seems like an uncertain proposition. Or maybe it’s just because the pass was picked off and the game lost: outcomes strongly bias perceptions. The second-level thinker sees that the obvious call – to run – was far from sure to work, and that doing the less-than-obvious – passing – might put the element of surprise on the Seahawks’ side and represent better clock management. Carroll made his decision and it was unsuccessful. But that doesn’t prove he was wrong. Here’s what my colleague Warren wrote me: The media and “talking heads” completely buried the decision to throw because of one data point: the pass was intercepted and the Seahawks lost the game. But I don’t believe this was a bad decision. In fact, I think this was a very well-informed decision that more people possessing all the data might have made given ample time to analyze the situation. As you always say, you can’t judge the quality of a decision based on results. If we somehow were able to replay this game in alternative realities to test the results, I think the Seahawks’ decision wouldn’t look so bad. But they certainly lost, perhaps because of bad luck. Now, similar to the USC/Texas situation, the media has written some very significant storylines regarding legacies:
爱国者队自 2001 年以来四次赢得超级碗,确立了“王朝”地位。
爱国者队的四分卫汤姆·布雷迪被誉为史上最伟大的球员之一。
海鹰队的防守曾被称作“史上最佳”,如今却不再受到赞誉(尽管输掉比赛的并非防守)。
The Patriots secured “dynasty” status by winning four Super Bowls since 2001. Tom Brady, the Patriots’ quarterback, is hailed as one of the greatest of all time. The Seahawks’ defense, which was talked about as being “the greatest ever,” is lauded no more (despite the fact that it wasn’t defense that lost the game).
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但这一场胜利——其胜负系于一次战术选择——是否真的足以让爱国者队和汤姆·布雷迪跻身史上最伟大之列?卡罗尔的决定又果真错了吗?这一切都归结于我钟爱的主题之一,源自纳西姆·尼古拉斯·塔勒布的《随机漫步的傻瓜》,对我来说,这本书是理解不确定世界中表现的圣经。
在书中,塔勒布谈到“替代历史”,我将其描述为“其他合理可能发生却未曾发生的事情”。诚然,海鹰队输掉了比赛。但他们本有可能赢,而且那样的话,卡罗尔的决策同样会起到决定性作用,使他从替罪羊变成英雄。因此,与其仅凭结果评判一项决策,你必须考虑(a)导向该决策的过程质量,(b)该决策本可成功的先验概率(这与它是否实际成功是截然不同的问题),(c)本可做出的其他选择,(d)本可合理发生的所有事件,进而(e)哪项决策具备最高的成功概率。
以下是要点:
But should this one victory – which swung on a single play – really place the Patriots and Tom Brady among the greatest? And was Carroll actually wrong? All of this goes back to one of my favorite themes from Fooled by Randomness by Nassim Nicholas Taleb, for me the bible on how to understand performance in an uncertain world. In his book, Taleb talks about “alternative histories,” which I describe as “the other things that reasonably could have happened but didn’t.” Sure, the Seahawks lost the game. But they could have won, and Carroll’s decision would have made the difference in that case, too, making him the hero instead of the goat. So rather than judge a decision solely on the basis of the outcome, you have to consider (a) the quality of the process that led to the decision, (b) the a priori probability that the decision would work (which is very different from the question of whether it did work), (c) the other decisions that could have been made, (d) all of the events that reasonably could have unfolded, and thus (e) which of the decisions had the highest probability of success. Here’s the bottom line:
有许多微妙但合乎逻辑的理由,可以论证卡罗尔教练的决策是合理的。如果这一决策成功,它本会被视为天才之举。特别是考虑到运气的作用,决策的正确与否并不能仅凭结果来判断。你显然不能仅凭一次尝试就评估一个人的能力。
There are many subtle but logical reasons for arguing that Coach Carroll’s decision made sense. The decision would have been considered a stroke of genius if it had been successful. Especially because of the role of luck, the correctness of a decision cannot necessarily be judged from the outcome. You clearly cannot assess someone’s competence on the basis of a single trial.
以上种种,恰恰说明了表层观察与深层、细致分析之间的差别。某件事成功了,并不意味着当初的决定就正确;某件事失败了,也不意味着决定就错了。这个道理,在投资中至少和体育中一样成立。
胜利者的心态
我常常觉得,就在我快要写完一份备忘录时,最后的灵感会突然冒出来。上周末,《金融时报》刊登了对诺瓦克·德约科维奇的访谈,他是当今世界排名第一的网球选手。吸引我注意的,是他对胜利者心态的这番话:
我相信,任何一场网球比赛的胜利,一半在踏上球场之前就已注定。
如果你没有那份自信,那么恐惧就会占据上风,而你便无力招架。这其中的界限很微妙。(强调为笔者所加)
德约科维奇的话让我想起本月早些时候的一次交谈,主题是我极少撰文探讨的:自信。若想取得卓越成绩,自信在必备的品质中位居前列。
要想超越平庸,运动员必须脱颖而出。要在高水平网球比赛中取胜,选手必须打出“制胜球”——那种对手接不住的击球。这些球要么力道十足,要么紧贴边线,要么低空掠过球网,因此也可能沦为“非受迫性失误”。没有高超的技术,这类球很难成功打出,贸然尝试并不明智。但具备相应技术的人,为了“打胜利者的比赛”,尝试这类球是正当之举(参见“你的比赛计划是什么”)。
这些或许可以类比于耶鲁大学的大卫·斯文森所称的“令人不安的特立独行”的投资行为。事实上,大多数伟大的投资都始于不适——或者,也许
What all the above really illustrates is the difference between superficial observation and deep, nuanced analysis. The fact that something worked doesn’t mean it was the result of a correct decision, and the fact that something failed doesn’t mean the decision was wrong. This is at least as true in investing as it is in sports. The Victor’s Mindset It often seems that just as I’m completing a memo, a final inspiration pops up. This past weekend, the Financial Times carried an interesting interview with Novak Djokovic, the number one tennis player in the world today. What caught my eye was what he said about the winner’s mental state: I believe that half of any victory in a tennis match is in place before you step on the court. If you don’t have that self-belief, then fear takes over. And then it will get too much for you to handle. It’s a fine line. (Emphasis added) Djokovic’s statement reminded me of a conversation I had earlier this month, on a subject I’ve written about rarely if ever: self-confidence. It ranks high among the attributes that must be present if one is to achieve superior results. To be above average, an athlete has to separate from the pack. To win at high-level tennis, a player has to hit “winners” – shots his opponents can’t return. They’re hit so hard, so close to the lines or so low over the net that they have the potential to end up as “unforced errors.” In the absence of skill, they’re unlikely to be executed successfully, meaning it’s unwise to try them. But people who possess the requisite skill are right in attempting them in order to “play the winner’s game” (see “What’s Your Game Plan”). These may be analogous to investment actions that Yale’s David Swensen would describe as “uncomfortably idiosyncratic.” The truth is, most great investments begin in discomfort – or, perhaps
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更准确地说,它们涉及做多数人感到不适的事情。要实现卓越表现,你必须相信别人看不到的价值(否则它早已反映在价格中);购买他人认为有风险且不确定的东西;并且买进的数量要大到一旦失败足以令人难堪。有哪些行为需要自信?
better said, they involve doing things with which most people are uncomfortable. To achieve great performance you have to believe in value that isn’t apparent to everyone else (or else it would already be reflected in the price); buy things that others think are risky and uncertain; and buy them in amounts large enough that if they don’t work out they can lead to embarrassment. What are examples of actions that require self-confidence?
50 美元买入一只股票并继续持有——甚至可能加仓——而价格跌到 25 美元时,“市场”在告诉你,你错了。
以 50 美元买入某只股票后(你认为它值 200 美元),当它涨到 100 美元时,拒绝“明智地落袋为安”。
违背常规智慧,敢于在 company 违约、其债务价格暴跌时“接飞刀”。
大量买入你看好的某只股票,远超它在你所对标指数中的权重,或者干脆完全剔除指数中你不喜欢的成分股。
Buying something at $50 and continuing to hold it – or maybe even buying more – when the price falls to $25 and “the market” is telling you you’re wrong. After you’ve bought something at $50 (thinking it’s worth $200), refusing to “prudently take some chips off the table” when it gets to $100. Going against conventional wisdom and daring to “catch a falling knife” when a company defaults and the price of its debt plummets. Buying much more of something you like than it represents in the index you’re measured against, or entirely excluding an index component you dislike.
在上述每种情形中,一级思考者所采取的都是常规且轻松的做法——这些做法并不需要太多自信。而二级思考者则从不同角度审视事物,因此愿意采取像上面描述的那些行动。但若无坚定的信念,这些行动不太可能被付诸实践。我所认识的那些杰出投资者,都是自信的二级思考者,他们完全乐于与大众背道而驰。
投资者拥有自信是好事,自信让他们能够大胆行事也是好事,但前提是这份自信必须建立在合理的基础上。这最后一项条件意味着,投资者必须进行极其坦诚的自我评估。自负或过度自信远比信心不足以及由此导致的不愿大胆行动要危险得多。马克·吐温说这话时想必正是此意:“让你陷入麻烦的不是你不知道的事,而是你确信不疑但事实并非如此的事。”诺瓦克·德约科维奇说“这是一条细线”时,也必然是这个意思。
以上就是从体育运动中得出的几条关键经验:
In each of these cases, the first-level thinker does that which is conventional and easy – and which doesn’t require much self-confidence. The second-level thinker views things differently and, as a consequence, is willing to take actions like those described above. But they’re unlikely to be done in the absence of conviction. The great investors I know are confident second-level thinkers and entirely comfortable diverging from the herd. It’s great for investors to have self-confidence, and it’s great that it permits them to behave boldly, but only when that self-confidence is warranted. This final qualification means that investors must engage in brutally candid self-assessment. Hubris or over-confidence is far more dangerous than a shortage of confidence and a resultant unwillingness to act boldly. That must be what Mark Twain had in mind when he said, “It ain’t what you don’t know that gets you into trouble. It’s what you know for sure that just ain’t so.” And it also has to be what Novak Djokovic meant when he said, “It’s a fine line.” So there you have some of the key lessons from sports:
对多数参与者而言,成功更可能可靠地来自纪律、一致性以及将错误降到最低,而非大胆冒进——高击球率和避免三振出局,而非偶尔的惊人本垒打。
但要出类拔萃,玩家必须做出与他人不同的事,并对自身成功有恰当的信心。若无信念,他便无法果断行动,也难以挺过不确定性和必然的低迷期。
由于随机性发挥着重要作用,小样本的结果远不能可靠地反映天赋或决策能力。
下注者的目标是在他人尚未察觉、且尚未反映在价格中的资产中看到价值。
乍看之下,努力和“常识”似乎能带来成功,但这些往往被证明徒劳无功。
尤其值得注意的是,事实证明,大多数人对未来结果的预见能力并不比别人强多少,但很少有人意识到这一局限。
在有志参与者进入任何游戏之前,他应评估自己的胜算,以及这些胜算是否配得上参与所付出的代价。
For most participants, success is likely to lie more dependably in discipline, consistency and minimization of error, rather than in bold strokes – high batting average and an absence of strikeouts, not the occasional, sensational home run. But in order to be superior, a player has to do something different from others and has to have an appropriate level of confidence that he can succeed at it. Without conviction he won’t be able to act boldly and survive bouts of uncertainty and the inevitable slump. Because of the significant role played by randomness, a small sample of results is far from sure to be indicative of talent or decision-making ability. The goal for bettors is to see value in assets that others haven’t yet recognized and that isn’t reflected in prices. At first glance it seems effort and “common sense” will lead to success, but these often prove to be unavailing. In particular, it turns out that most people can’t see future outcomes much better than anyone else, but few are aware of this limitation. Before a would-be participant enters any game, he should assess his chances of winning and whether they justify the price to play.
这些经验教训对投资者大有裨益。
2015 年 10 月 22 日
These lessons can serve investors very well. October 22, 2015
2015 年橡树资本管理有限合伙企业(Oaktree Capital Management, L.P.)
2015 Oaktree Capital Management, L.P.
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