The Quants
đ The Book in 3 Sentences
This is a history book of people who revolutionized finance with math, game theory, and computers to model how the market work. However, the real world is not a model, and quants are also humans, as the financial crisis showed.
đ¨ Impressions
It is a book about the major players and the history of quantitative finance from the focal point of the major players. It was interesting, and i liked it as some sort of history book.
It was an interesting story, but i did not learn that much about the quantitative models outside of the shallowest one-liners.
I did think the random walk vs. chaos theory models of the market was quite intersting.
How I Discovered Itâ
On a fateful journey of N.N. Taleb´s Twitter timeline.
Who Should Read It?â
Its a bit of a niche book, so only people with a history of the finance world.
âď¸ How the Book Changed Me
Not much, more interested in learning about chaos and non-linearities, as it is important for me to understand everything about it.
âď¸ My Top Quotes
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The Truth was a universal secret about the way the market worked that could only be discovered through mathematics.
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âThe Great Moderation,â the speech told of a bold new economic era in which volatilityâthe jarring jolts and spasms that wreaked havoc on peopleâs lives and their pocketbooksâwas permanently eradicated. One of the primary forces behind this economic Shangri-la, he said, was an âincreased depth and sophistication of financial markets.â
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The law of entropy essentially means everything in the universe will eventually turn into a homogenous, undifferentiated goop.
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The future movement of a stockâa variable known to quants as volatilityâis random, and therefore quantifiable.
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The letter contained a draft of a paper that Black had written with another Chicago economist, Myron Scholes, about a formula for pricing stock options. It would become one of the most famous papers in the history of finance, though few people, including its authors, had any idea how important it would be.
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Just as Einsteinâs discovery of relativity theory in 1905 would lead to a new way of understanding the universe, as well as the creation of the atomic bomb, the Black-Scholes formula dramatically altered the way people would view the vast world of money and investing.
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Like Thorpâs methodology for pricing warrants, an essential component of the Black-Scholes formula was the assumption that stocks moved in a random walk. Stocks, in other words, are assumed to move in antlike zigzag patterns just like the pollen particles observed by Brown in 1827.
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On April 26, 1973, one month before the Black-Scholes paper appeared in print, the Chicago Board Options Exchange opened for business. And soon after, Texas Instruments introduced a handheld calculator that could price options using the Black-Scholes formula.
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Hotshot trader named Gerry Bamberger whoâd just abandoned a post at Morgan Stanley. Bamberger had created a brilliant stock trading strategy that came to be known as statistical arbitrage, or stat arbâone of the most powerful trading strategies ever devised, a nearly flawless moneymaking system that could post profits no matter what direction the market was moving.
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As the meeting ended, APTâs traders and researchers sat fuming in their chairs. Shaw had crossed the line. Programmers werenât supposed to trade, or even think about trading.
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According to their probability formula, published in 1995, the likelihood of the crash was a â27-standard-deviation event,â with a probability of 10 to the 160th power:
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Mandelbrot proposed an alternative method to measure the erratic behavior of prices, one that borrows a mathematical technique devised by the French mathematician Paul LĂŠvy, whom heâd studied under in Paris. LĂŠvy investigated distributions in which a single sample radically changes the curve. The average of the heights of 1,000 people wonât change very much as a result of the height of the 1,001st person. But a so-called LĂŠvy distribution can be thrown off by a single wild shift in the sample. Mandelbrot uses the example of a blindfolded archer: 1,000 shots may fall close to the target, but the 1,001st shot, by happenstance, may fall very wide of the mark, radically changing the overall distribution.
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Stocks didnât move in the tiny incremental ticks predicted by Brownian motion and the random walk theory. They leapt around like Mexican jumping beans.
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The joke around Meyerâs office was that they used the law firm of Cookie & Cutter to launch Griffinâs fund. It would eventually be called Citadel Investment Group, a name designed to evoke the image of high ramparts that could withstand the most awesome financial onslaughts imaginable.
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During his summer vacation in 1987, between his freshman and sophomore years, he frequently visited a friend who worked at the First National Bank of Palm Beach. One day, he was describing his ideas about convertible bonds and hedging. A retiree named Saul Golkin happened to step into the office. After listening to Griffinâs spiel for twenty minutes, Golkin said, âIâve got to run to lunch, Iâm in for fifty.â At first, Griffin didnât understand, until his friend explained that Golkin had just forked over fifty grand to the young whiz kid from Harvard.
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Griffin started trading, and calling everyone on Wall Street who would speak with him. A typical reaction: âYouâre running two hundred grand out of your dorm room? Donât ever call me again.â Slam.
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Griffin set up shop in Chicago in late 1989 with his $1 million in play dough, and was quickly making money hand over fist trading convertibles with his handcrafted software program. In his first year of trading, Griffin posted a whopping 70 percent return. Impressed, Meyer decided to help Griffin launch his own fund. He thought about other funds with similar strategies, and thatâs when Ed Thorp came to mind.
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Before the interview, Muller made a pit stop in the menâs bathroom and was horrified by what he saw: a cigarette butt. A compulsive neat freak and health nut, Muller despised cigarettes. The butt was nearly a deal killer. He thought about canceling the interview. There was simply no way he would work in an office where people smoked.
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By 1985, BARRA was the West Coast axis mundi of the quant universe.
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He noticed that just as patientsâ reactions to drugs differed, stocks exhibited strange, seemingly inexplicable behavior over time. There must be a logical way to find order beneath the chaos, he thought.
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The professor, Eugene Fama, had been teaching at the University of Chicago since the early 1960s. Now, in September 1989, he was universally acknowledged as one of the brightest thinkers about financial markets and economics on the planet.
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âThere are a number of consequences to market efficiency,â Fama said, facing the classroom. âOne of the most important is that itâs
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âThere are a number of consequences to market efficiency,â Fama said, facing the classroom. âOne of the most important is that itâs statistically impossible to know where the market is going next. This is known as the random walk theory, which means that the future course of the market is like a coin toss.
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âThe mathematical expectation of the speculator is zero.â
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Another acolyte was Burton Malkiel, who went on to write A Random Walk Down Wall Street.
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In the financial planning community, so-called Monte Carlo simulations, which can forecast everyday investorsâ portfolio growth over time, used the idea that the market moves according to a random walk. Thus, an annual gain or loss of 5 percent a year is far more likely, since it falls near the center of the bell curve. A gain or loss of 50 percent, such as the stock market crash seen in the credit crisis of 2008 (or the 23 percent single-day plunge seen on Black Monday, for that matter) was so unlikely as to be a virtual impossibilityâin the models, at least.
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The most important element in determining a stockâs potential future return is its beta, a measure of how volatile the stock is compared with the rest of the market. And according to CAPM, the riskier the stock, the higher the potential reward.
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Such a finding was nothing short of lobbing a blazing Molotov cocktail into the most sacred tent of modern portfolio theory. Decades of research were flat-out wrong, the two professors alleged. Perhaps even more surprising were Fama and Frenchâs findings about the market forces that did, in fact, drive stock returns. They found two factors that determined how well a stock performed during their sample period for 1963 to 1990: value and size.
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Asness knew that momentum was a direct challenge to Fama, and he expected a fight. He cleared his throat. âMy paper is going to be pro-momentum,â he said with a wince. Fama rubbed his cheek and nodded. Several seconds passed. He looked up at Asness, his massive forehead wrinkled in concentration. âIf itâs in the data,â he said, âwrite the paper.â Asness was stunned and elated. Famaâs openness to whatever the data showed was a remarkable display of intellectual honesty, he felt.
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According to Soros: âThe increasing skill in measuring risk and modeling risk led to the neglect of uncertainty at LTCM, and the result is you could use a lot more leverage than you should if you recognize uncertainty. LTCM used leverage far above what should have been the case. They didnât recognize that the model is flawed and it neglected this thick tail in the bell curve.â
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Renaissanceâs flagship Medallion fund, launched in the late 1980s, is considered by many to be the most successful hedge fund in the world.
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A Markov process, named after Russian mathematician Andrey Markov, models a sequence of events in a system that have no direct relation to one another.
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Mercer, meanwhile, was simply known as the âbig gunâ at Renaissance. When a thorny problem cropped up that required focused attention, the firm would âjust aim Bob at it and fire,â said a former employee.
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Elsesser was one of the first to hit the road, moving on to study gender issues in the workplace at UCLA. Sheâd grown sick of Morganâs Big Swinging Dick, macho culture, even though she was relatively isolated from the worst behavior under PDTâs protective bubble. Traders often treated her as if she were Mullerâs secretary. One time soon after theyâd launched PDT, Elsesser was trading futures contracts electronically. A man walked into PDTâs office, stared at Elsesser, looked around, left. He came again, looked, and left. The next time he came, looking around in confusion, scratching his crotch, Elsesser finally asked, âCan I help you?â âThey keep telling me some quant trader is in here trading futures and I keep telling them thereâs nobody back here.â After a furious pause, Elsesser said, âThatâs me.â The guy stood staring at her slack-jawed, then left again without saying a word.
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Black was eventually brought to the firmâs options desk to meet the head of trading. âSo youâre Fischer Black,â the trader said, reaching out a hand to greet the legend. âNice to meet you. Let me tell you something: you donât know shit about options.â Welcome to Wall Street, Mr. Black.
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As Asness went to meet the firmâs notoriously prickly and long-jawed COO, he thought back to the day heâd gone to tell Fama about his research on momentum. Asness respected Fama far more than Paulson, whom he barely knew. So why was he so nervous? The presentation involved, among other things, the various markets Global Alpha traded in. Asness rattled off a string of regions and countries: North America, Southeast Asia, Brazil, Japan. âWe trade in all of the countries in the EAFE index,â Asness added. Paulson had been silent throughout the presentation. So he shocked Asness when he suddenly blurted out, âHold it.â Asness froze. âHow many countries are in that index?â âWell,â Asness said, âit comprises Europe, Australasia, the Far Eastââ âThatâs not what I asked,â Paulson said curtly. âHow many countries?â âI believe twenty-one,â Asness said. âName âem.â Asness looked at Paulson in shock. Name them? Is this guy screwing with me? Paulson wasnât laughing. Asness swallowed hard and started to tick off the names. France, Germany, Denmark, Australia, Japan, Singapore ⌠He listed every country in the EAFE index. His broad forehead had sprouted a dew of sweat. Paulson sat there coolly watching Asness with his steely eyes, clenching his massive mandible. There was an awkward silence. âThatâs eighteen,â Paulsen said. Heâd been counting the names. And Asness had come up shortâor so Paulson was implying. There was little Asness could say. He fumbled through the rest of the presentation and left in confusion. Great way to show your appreciation for my hard work, he thought.
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In November 1999, the Glass-Steagall Act of 1933, which had cleaved the investment banking and commercial banking industry in twoâseparating the risk-taking side of banks from the deposit sideâwas repealed.
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People who know Weinstein say his name is on more than one Vegas casinoâs list of players banned for card counting.
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âThere is no free lunch,â Taleb boomed in his thick Levant accent, his forefinger wagging in Mullerâs face. âIf ten thousand people flip a coin, after ten flips the odds are there will be someone who has turned up heads every time. People will hail this man as a genius, with a natural ability to flip heads. Some idiots will actually give him money. This is exactly what happened to LTCM. But itâs obvious that LTCM didnât know shit about risk control. They were all charlatans.â
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Brown got sick of seeing the same rich kids heâd suckered at Harvard lord it over the quants in trading-floor games such as Liarâs Poker. Thatâs when he decided to bust up Liarâs Poker with quant wizardry.
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As Ranieri once said, âMortgages are math.â
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Li often discussed the problem with colleagues from academia who were experts in an actuarial science called survival analysis. One concept they studied was the fact that after the death of a spouse, people tend to die sooner than their demographic peers. In other words, they were measuring correlations between the deaths of spouses.
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âThe Gaussian copula was the Black-Scholes for credit derivates,â said Michel Crouhy, Liâs boss at CIBC in the 1990s.
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The Gaussian copula was, in hindsight, a disaster. The simplicity of the model hypnotized traders into thinking that it was a reflection of reality. In fact, the model was a jury-rigged formula based on the irrationally exuberant, self-reinforcing, and ultimately false wisdom of the crowd that assigned make-believe prices to an incredibly complex product. For a while it worked, and everyone was using it. But when the slightest bit of volatility hit in early 2007, the whole edifice fell apart.
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Magnetarâs trade was ingenious, and possibly diabolical. It would hold the riskiest slices of CDOs, known as the âequityââthose most vulnerable to defaults. But it also was buying protection on less-risky slices higher up the stack of the CDOâs structure, essentially betting on a wave of defaults. The roughly 20 percent yield on the equity slices provided the cash to purchase the less-risky slices. If the equity imploded, as it did, the losses would mean little if the higher-quality slices also saw significant losses, which they did.
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The SEC complied. It also decided to rely on the banksâ own quantitative models to determine how risky their investments were. In essence, in a move that would come to haunt not just the agency but the entire economy, the SEC outsourced oversight of the nationâs largest financial firms to the banksâ quants.
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All the bad news made it clear that many CDOs were worth far less than most had thought. The losses proved jaw-droppingly large. Later that year, Morgan took a loss of $7.8 billion, much of it from Hublerâs desk.
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Citadel, AQR, and Saba believed they were the smart guys in the room and had either hedged against losses or were on the right side of the trade and were poised to cash in.
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Margin call: two of the most frightening words in finance. Investors often borrow money from a prime broker to buy an asset, say a boatload of subprime mortgages. They do this through margin accounts. When the value of the asset declines, the prime broker calls up the investor and asks for additional cash in the margin account. If the investor doesnât have the cash, he needs to sell something to raise it, some liquid holding that he can get rid of quickly.
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The losses in Medallion, however, were the most perplexing. Simons had never seen anything like it. Medallionâs superfast trading strategy, which acts as a liquidity provider for the rest of the market, was buying up the assets from quant funds that were frantically trying to exit positions. Medallionâs models predicted that the positions would move back into equilibrium. But the snapback didnât happen. The positions kept declining. There was no equilibrium. Medallion kept buying, until its portfolio was a near mirror image of the funds that were in a massive deleveraging. It was a recipe for disaster. The
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Pissed-off plain-vanilla investors vented their rage on the quants as they saw their portfolios unravel. âYou couldnât get a date in high school and now youâre ruining my month,â was one sneer Muller heard.
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The worst fear of quants such as Asness was that their Chicago School guru, Eugene Fama, had been right all along: the market is efficient, brutally so. Long used to gobbling up the short-term inefficiencies like ravenous piranhas, theyâd had a big chunk taken out of their own flesh by forces they could neither understand nor control.
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Dick Fuld was putting on a classic performance. The Lehman Brothers CEO, known as the âGorillaâ for his heavy-browed Cro-Magnon glare, monosyllabic grunts, and fiery rampages, had been ranting for more than a half hour to a roomful of managing directors. Fuld screamed. Jumped up and down. Shook his fists in defiance. It was June 2008. Lehmanâs stock had been getting hammered all year as investors fretted about the firmâs shaky balance sheet.
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Someone raised a hand. âWe hear everything youâre saying, Dick. But talk is cheap. Acting is louder than words. When are you going to buy a million shares?â Fuld didnât miss a beat. âWhen Kathy sells some art.â Fuld was referring to his wife, Kathy Fuld, known for her expensive art collection. Was he joking? Some wondered. Fuld wasnât laughing
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Someone raised a hand. âWe hear everything youâre saying, Dick. But talk is cheap. Acting is louder than words. When are you going to buy a million shares?â Fuld didnât miss a beat. âWhen Kathy sells some art.â Fuld was referring to his wife, Kathy Fuld, known for her expensive art collection. Was he joking? Some wondered. Fuld wasnât laughing. There was the classic furrowed brow. It was a moment when some of Lehmanâs top lieutenants started to wonder in earnest whether Lehman was in fact doomed. Their CEO seemed detached from reality. When Kathy sells some art?
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For more than a year, Greenspan had argued time and again that he wasnât to blame for the meltdown. Several weeks earlier, President George W. Bush had signed a $700 billion government bailout plan for a financial industry devastated by the housing marketâs collapse. In July, Bush had delivered a blunt diagnosis for the troubles in the financial system. âWall Street got drunk,â Bush said at a Republican fund-raiser in Houston. âIt got drunk, and now itâs got a hangover. The question is, how long will it sober up and not try to do all these fancy financial instruments?â The credit meltdown of late 2008 had shocked the world with its intensity. The fear spread far beyond Wall Street, triggering sharp downturns in global trade and battering the worldâs economic engine. On Capitol Hill, the governmentâs finger-pointing machinery cranked up to full throttle. Among the first called to account: Greenspan. Greenspan, many in Congress believed, had been
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Greenspanâs confession was stunning. It marked a dramatic shift for the eighty-two-year-old banker who for so long had been hailed variously as the most powerful man on the planet and the wise central banker with a Midas touch. In a May 2005 speech heâd hailed the system he now doubted.
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As Boaz Weinstein liked to say, it wasnât rocket surgery.
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To quants, unprecedented is perhaps the dirtiest word in the English language. Their models are by necessity backward-looking, based on decades of data about how markets operate in all kinds of conditions. When something is unprecedented, it falls outside the parameters of the models. In other words, the models donât work anymore. It was as if a person flipping a coin a hundred times, expecting roughly half to turn up heads and the rest tails, experienced a dozen straight flips where the coin landed on its edge.
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Many of the rumors cropped up on a popular Wall Street blog called Dealbreaker. The site was peppered with disparaging comments about AQR. Dealbreakerâs gossipy scribe, Bess Levin, had
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Many of the rumors cropped up on a popular Wall Street blog called Dealbreaker. The site was peppered with disparaging comments about AQR.
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And that means hard work. Renaissance has a concept known as the âsecond forty hours.â Employees are each allotted forty hours to work on their assigned dutiesâprogramming, researching markets, building out the computer system. Then, during the second forty hours, theyâre allowed to venture into nearly any area of the fund and experiment.
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Charismatic, extremely intelligent, easy to get along with, Simons had created a culture of extreme loyalty that encouraged an intense desire among its employees to succeed. The fact that very few Renaissance employees over the years had left the firm, compared to the river of talent flowing out of Citadel, was a testament to Simonsâs leadership abilities.
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The Ph.D.âs might know their sines from their cosines, but they often had little idea how to distinguish the fundamental realities behind why the market behaved as it did.
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The truth is that there are no fundamental laws in finance.
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To ensure that the quant-driven meltdown that began in August 2007 would never happen again, the two Ăźber-quants developed a âmodelersâ Hippocratic Oathâ: I will remember that I didnât make the world, and it doesnât satisfy my equations. Though I will use models boldly to estimate value, I will not be overly impressed by mathematics. I will never sacrifice reality for elegance without explaining why I have done so. Nor will I give the people who use my model false comfort about its accuracy. Instead, I will make explicit its assumptions and oversights. I understand that my work may have enormous effects on society and the economy, many of them beyond my comprehension.
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âBeware of geeks bearing formulas,â Buffett warned.
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âPeople assume that if they use higher mathematics and computer models theyâre doing the Lordâs work,â observed Buffettâs longtime partner, the cerebral Charlie Munger. âTheyâre usually doing the devilâs work.â
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âMandelbrot, like Prime Minister Churchill before him, promises us not utopia but blood, sweat, toil, and tears,â he read. âIf he is right, almost all of our statistical tools are obsolete.
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His investing prowess is legendary, as is his physical stamina. When he was fifty-three, he decided to run a series of marathonsâfive of them, in five days. On the fifth day, his kidney ruptured. He saw blood streaming down his leg. But Gross didnât stop. He finished the race, collapsing into a waiting ambulance past the finish line.
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âAnd that led to increased leverage to maintain the same returns. Itâs leverage, the overbetting, that leads to the big unwind. Stability leads to instability, and here we are. The supposed stability deceived people.â
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Evidence was emerging that certain parts of the brain are subject to a âmoney illusionâ that blinds people to the impact of future events, such as the effect of inflation on the present value of cashâor the possibility of a speculative bubble bursting.