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Tuesday, November 27, 2012

Taleb Mishandles Fragility

Christmas traditions have gone from stockings and exchanging gifts, to fruitcakes, bad sweaters, NBA games, and now Taleb books, a sign that perhaps the Mayan return isn't so much an apocalypse but rather a mercy killing. Taleb is one of many best-selling authors I don't enjoy (Tom Friedman, Robert Kiyosaki, Snooki), but as he is prolix, pretentious, petulant and clueless, I enjoy commenting on his latest blather (my review of Black Swan here, Bed of Procrustes here).

His latest book Antifragile is driven by his discovery that there is not an English word for the opposite of fragile, which he thinks could not be 'robust' (this neologism is one of the few new ideas presented in this book, not that I think we need more new Taleb ideas). Fragile things lose a lot of value when mishandled, 'anti-fragile' things increase a lot in value when mishandled.  He thinks this is very profound and therefore needs a book.  The problem is that mishandle implies an adverse effect by definition, which is why there isn't a word for something that goes up in value when you mishandle it.

The concept of things increasing in value with small probabilities is well-known. Words used for this concept include: good luck (when preparation meets opportunity), lottery tickets, a home run, teenie (a low-delta option), eureka moment (scientists),  ten-bagger (a stock that can increase in value ten-fold).  These are compound nouns, and if English were German, these would all be one word.  They are the basis for patent trolls, venture capital, oil drilling, poring over a sheet of financials, and dating (a single prince makes the many other tedious dates worthwhile). Having good luck, winning lottery tickets, is nice, but  how to achieve this is not straightforward, and certainly not simply by owning a lot of them.

One interviewer's takeaway from his anti-fragile thesis was the following:
So what to buy? Taleb chooses investments with small downsides and large upsides: penny stocks, distressed assets, and options. “You want investments that clip the left tail.”
An option has a truncated left-tail: it pays off zero or the stock price different than some strike price--always a positive number--but is not necessarily a bargain because the price is positive. In fact, penny stocks, distressed assets, and long option positions have lower-than-average returns, as lazy investors chase large improbable payoffs. Further, contra Taleb, it is not the quantifiability of lottery tickets, or the fact that they have a maximum payoff, that makes them bad investments: things with lottery-ticket type qualities with uncertain parameters such as internet business opportunities are generally a fraud with a poor expected return, and things like IPOs, or analyst disagreement (which have more of what Keynes and Knight called 'uncertainty'), are intuitively riskier and have lower-than-average returns (I document many of these in my book).

He doesn't identify key attributes of attractive, risky (oops, antifragile!) opportunities, just implies they are the ones that unlike options and lottery tickets, work well. In fact, he's anti-theory, so one supposedly finds them by random sampling (aka 'trial and error'). That's a strategy statistically proven to underperform, catering to the biases most investors have, why both day trading bucket shops thrive and  low volatility investing works. As a self-help book, it's like someone saying you should eat more carbs, a strategy many will find brilliant.

The book is really a big spread argument that it's good to be long gamma, bad to be short it. Gamma is the essence of an option, why there's 'time decay' or theta, a predictable expense that anticipates the payoff times the probability.  Gamma is the essence of when payoffs are convex, when a down moves means you lose X, but on up moves implies you gain 2X. Whether or not this theta is adequate for the gamma is whether an option is priced fairly or not, and asymmetric payoffs are never priced at zero.  People generally pay too much for gamma, why historically the VIX has been about 1% higher than the SP500's actual volatility, and this implied volatility bias has been even higher in the tails. Being long options (positive gamma, generally short volatility), especially out-of-the-money options, has been a losing strategy.

One key to understanding Taleb is the Freudian concept of projection: he applies his greatest faults to others. For example, he defines the "Joseph Stiglitz problem" as cherry-picking his prior statements to claim they predicted something when they did not,  referring to Stiglitz's ill-fated Fannie-Mae prediction and subsequent recollection of calling the 2008 financial crisis in a later book. Yet Taleb himself did the same thing, as he criticized Fannie Mae for not understanding the embedded interest-rate option in their mortgage portfolio, but then claims he accurately predicted Fannie's failure. Prepayment risk is very different than collateral risk, and Taleb mentioned nothing about collateral risk prior to 2007, and instead alluded to the prepayment option problem. It's like a guy who says corn prices might increase because of  risk from floods, and when a collapse in the dollar causes its price to rise, states, 'I told you so.' Hindsight bias, name dropping, and pretentious mathematics are all Taleb signatures he sees everywhere in others.

Another key to understanding Taleb is that he has a French post-modern tendency to write to impress rather than explain. As Nietzsche observed, 'those who would like to seem profound strive for obscurity.' He provides hundreds of loosely related anecdotes, reminding me of the Talmud quote that 'when a debater’s point is not impressive, he brings forth many arguments.'  Many of his arguments are contradictory, but he escapes this via the common method of postmodern critical theory which is to claim one's understanding of individual parts of a text is only understood in the context of the whole, which also is dependent on the parts. This allows him to state antifragility is exemplified by examples of hormesis and long options, but is also not hormesis or being long options.  I actually agree with a lot of Taleb, such as the intractability of risk because it is endogenous, and he's somewhat of a libertarian as I am, but he says so many inconsistent things it doesn't mean anything (when he's right it's probably a good example of the Gettier problem).

Then there are the many confused or dubious assertions, such as that the improbable events that underlie his strategy of embracing Black Swans are both impossible to quantify and highly rewarding. So how does he know? Or that fragility is like risk in that it is what causes things to fail and has a return premium but unlike risk is quantifiable; that finance professors don't understand 'real options'; that economists don't understand that f(E(x))<>E[f(x)]; or that the biggest investing problem created by Markowitz is too much optimization.

His equation for fragility has a couple of subjective parameters (K, and the density of alpha) that are unfalsifiable given his definition of  Black Swans (its probability can't be estimated!), and equations with unknown parameters are very helpful if you want to impress the mathematically challenged (in case you don't know math, just ask him if a number of +0.23 is more than 1 stdevs above average, and what that implies for expected returns). Combine these pointless formulas with ramblings about  'street smart' traders, and it's like a non-humorous version of David Sedaris's Me Talk Pretty One Day.

Taleb often suggests it is good to be long volatility, things that gain from greater uncertainty  (see his YouTube on this here). As the VXX has shown, while this has nice covariance properties with the stock market (going up in 2008), it has a horrible long-run return. I bet many of the unfortunate investors who have ridden the VXX to zero over its existence have a copy of The Black Swan on their bookshelf (and you can extrapolate it backward, and even if it started in 2006 it would be a loser).  The 'long vega' bias simply isn't a good one.  Another example: mathematician, publishing mogul and Taleb-fan Paul Wilmott's big advice during the recent financial crisis to buy volatility--it gains from uncertainty!--which was like recommending earthquake insurance right after the big one hits. Good trade, wrong sign.

The fund Universa, of which he is affiliated, states that it is no longer merely long volatility or gamma, but timing when to be long volatility or gamma. I'm sure all those investors who jumped in Universa circa 2009 would be surprised to know that's the strategy, but as part of management, he benefits from the gamma resulting from investors fooled by randomness to think that because being long gamma in 2008 was a good strategy, it will be going forward. He does have an excuse here, as he did write a book on that, so it's not like they weren't warned.

I checked on his book Antifragile back in late October on Amazon, and saw the reviews from those who got the pre-release version.  A few reviews where negative, and in the comment section (you can comment on reviews, and comment on comments) Taleb himself was in there angrily responding at length to negative reviews, and his cult-like fans piled on. From a guy who writes in Antifragile that criticism should be welcomed, his response to criticism is consistently hysterical. A week later, one of the negative reviews was deleted, the poor sap didn't anticipate the venom from simple Amazon review. I have received many spirited emails over the years from his acolytes, and back around 2005 NNT himself sent my boss emails on two occasions telling him I was saying hurtful things about him on the interweb and that I must stop. He's got the skin of a mudskipper.

For example, a commentator on a negative Amazon review writes:
Please respond to Nassim Taleb's rebuttal and more clearly define your expertise and argument with the message of his book. I bet if you engage Mr. Taleb (once again, a rare honor) you will find that the both of you fall along the same lines of understanding. If you do not respond, it simply means that the review was an after-thought to retain review ratings on Amazon and not an honest intellectual review of the book.
That's the fawning tenor typical of his fans, and that kind of intellectual insulation doesn't encourage reality, let alone clarity, which Taleb notes is a major problem among other people. Taleb doesn't do himself any favors by responding to one review by noting that
This review is grounded in a fundamental error. It falls for the conflation described in the book between medicating and overmedicating, intervening and overintervening. The book NEVER says that mental illnesses should not be diagnosed in children, it says that it should not be OVERdiagnosed and OVERMEDICATED.
First, note the deranged use of CAPS, highlighting that he at least follows his own advice to not take Prozac. Then, note that his big idea on mental illnesses is that people should not over-diagnose or overtreat them. True enough,  given the meaning of the prefix "over", but if that's his point it's tautological.  Given Taleb's fixation with word cognates, it's odd that he repeatedly makes these kinds of errors. This kind of vapidity is why I think he's a blowhard.

 One theme of the book is hormesis, the finding that things that are clearly bad for you at extreme doses, are good for you in small doses; a glass of wine a day, radiation, germs, etc. For example, if you have zero exposure to germs, you won't develop a healthy immune system. Arthur Robinson has been a leader in this idea with his work in the 1970s, and there's a fascinating tale about how he discovered this in the context of the assertions about radiation extrapolation by Robinson's mentor, the famous chemist Linus Pauling, and a nasty legal battle that ensued.

The fact that micro-instability is necessary for greater macro-stability is a profound and very Austrian point (ie, not new). If he was a serious scholar he would fit his ideas into these threads and highlight his novelty, but as he has no novelty, he avoids this route. Though Taleb is trying to outflank academics he derides, his writings highlight one of the main benefits of academia where scholars usually fit their ideas into the literature so you can better assess their innovation and the state of the art. Autodidacts are often rambling, repetitive, and most importantly, wrong.

He notes there's a sweet spot for most medicines, and that some exercise is good for you, not in spite of its stresses, but because of them.  A lot of people seem to find this a brilliant insight (Moderation in all things! Who knew!?). This is why his audience is so large: he's focusing on people without any common sense, of which there are many. But if the key to benefiting from the right amount of medication is dosage, how does one find this dosage? Trial and error? That's how most animals learn, but it's pretty inefficient in general, I certainly don't want my kids figuring out most of their life lessons that way because its very time consuming and costly. Surely, a moderate amount of trial and error is essential in everything, but that's not very deep (see CNBC video on AntiFragile and note there's no specific action item for any individual, just bumper sticker advice, e.g., 'small is beautiful').

He still thinks Portfolio Theory, and most Economic Nobel Prize-winning research, is predicated on distributions with fixed parameters. It isn't. Financial academic standard-bearer Eugene Fama spent half his dissertation in the 1960s on Mandelbrot's observation about fat tails, and like everyone else in the profession, left this thread because it isn't that interesting: the static parameter assumption gives qualitatively similar implications to a more realistic distribution where means have standard deviations ad infinitum, yet gains a great deal in transparency. Transparency and simplicity, in fact, are key features of models, always a tradeoff with realism, but that's a nuance too subtle for Taleb. The effect of adding fat tails through stochastic parameters is isomorphic to assuming more risk aversion or higher volatility, so it's trivial to fit inside the box, and the CAPM and other theories are basically the same, just messier when you add volatility to your volatility parameters. The same is true for Black-Scholes-Merton and the Miller-Modigliani theorem.

As per correlations being stochastic and so uninformative, he is wrong again: they are highly predictable, as high beta portfolios formed using past data create portfolios with higher future betas. The same is true for low volatility investing. The problem with betas (ie, correlations), is not that they change so much as to be irrelevant, but that they aren't correlated with returns over long periods as theory suggests (the subject of my book, The Missing Risk Premium, that there are no omnipresent correlations between covariances and average returns). So, I agree modern academic finance is highly flawed, but not for reasons Taleb suggests.

A good amount of gamma, like having just the right amount of medication or specialization, is a good thing. Yet the right amount can be positive, negative, or zero, in various contexts. Many good things have negative gamma, such as the strategy of being nice to strangers: it has a great downside, such as when you naively interact with a stranger, yet being nice is a good default strategy. Then there are things with no gamma, such as brushing your teeth every day or simply being polite, which generally doesn't have a lot of effect either way in your life any time you do it, but over time is quite salubrious. Noting gamma per se, especially large gamma, doesn't tell you if something is good or bad, rather, just that it could be really good or really bad.

You can price gamma and it's not free, so the question is always whether this price is too high or too low. Indeed, Universa's new emphasis on timing volatility trading begs the question: how do you time these things? How do you price things that respond hydra-like to having its head cut off? Contra Antifragile I would say: don't bias your portfolio towards lottery ticket investments, even if only 10%. Find something you are good at, become excellent at it, and invest your time and speculative wealth there.

Wednesday, March 13, 2019

Antifragility is just Hormesis (to the extent it works)

In Nassim Taleb’ book Antifragile he emphasizes that ‘if you see a fraud and do not say fraud, you are a fraud,’ I am thus compelled to note that Antifragile is a fraud because its theme is based on intentional misdirection. The most conspicuous and popular examples he presents are also explicitly mentioned as not the essence of antifragility. Indeed, incoherence is Taleb’s explicit strategy, as the Wikipedia entry on Antifragility notes Taleb presents his book in a way to make it difficult to criticize.

I bring this up because last month I was listening to a Joe Rogan podcast where they mentioned hormesis, the concept that small amounts of a toxin or stressor strengthen an organism. The guest noted hormesis was discovered in the 1950s when researchers noticed a little bit of herbicide paradoxically makes plants stronger. Actually, this phenomenon was found back in 1888 concerning yeast, though the basic idea is probably timeless in that everyone understands exercise strengthens muscles while immobilizing a limb after an injury leads to atrophy. A glass of wine a day is a tonic, though too much leads to cirrhosis. The term Mithridatism comes from King Mithridates (160 BC) self-administering small amounts of a toxin to build up his immunity, so this is a very old idea. 

tweeted that Taleb thinks he invented hormesis, whereupon Taleb quickly noted that antifragility is not hormesis, and Antifragile explicitly mentions hormesis and its 1888 discovery, as well as Mithridatism. A snippet of his Twitter rebuttal is here. Tweets are not the place for snarky subtlety. My point was that far as antifragility works, it's hormesis, in spite of Taleb's qualification that "hormesis is a metaphor" for antifragility. This got me wondering how such a contradiction happened.

Taleb states his neologism antifragility is "beyond resilience or robustness." He defines antifragility more precisely as "a convex response to a stressor or source of harm, leading to a positive sensitivity to increase in volatility." Thus hormesis is not an example of antifragility, because, in the parlance of finance, hormesis is like having a positive but modest beta, while antifragility is increasing the value of a portfolio by increasing its gamma. Gamma is a measure of convexity, the signature feature of a put or call option, and in uncertain environments, a higher gamma leads to a higher value.

The common takeaway of Antifragile, however, is simple resilience. For example, in Jonathan Haidt's book the Coddling of the American Mind he credits Taleb’s concept of antifragility for arguing that protecting students from ideas they find offensive leads to them becoming more fragile, anxious, and easily discouraged. Actively confronting ideas we don't like makes us tougher and smarter, or as JS Mill wrote, ‘he who knows only his own side of the case knows little of that.’ Haidt's book mentions unstructured play for children, the immune system, and exposure to peanuts as examples of Taleb's concept of antifragility. Wikipedia’s entry on antifragile gives as its primary example that of bone density being strengthened by exposure to stress. These are all examples of hormesis.

Convex Payoff
If you own an option you have positive convexity and benefit from higher volatility; you are long volatility (aka long vega). It has long been known that financial options, especially out-of-the-money put and call options, have poor average returns. A good example is provided by VXX ETF, which is long vega and loses money with about the same Sharpe ratio as the SP500 index. Being long vega is like shorting the market, good in bad times, but in the long run a bad investment.

Thales
Taleb is aware of this and states that good antifragile things are not financial options because they "are sold by someone," but rather real options, which he thinks are free: "we don't pay for options given to us by nature and technical innovation." His prominent example here is Thales of Miletus. Aristotle gave us the story that Thales secured the rights to wine presses at a relatively low rate, which is an option: he had the right, not the obligation to use the wine presses. When the harvest proved to be bountiful, and so the demand for the presses was high, Thales charged a high price for their use and reaped a considerable profit. Taleb states the key to Thales's fortune was his awareness of his 'lack of knowledge,' in that as he owned an option he enabled himself to benefit from uncertainty.

I do not have data on wine presses circa 600 BC, but currently, such options are generally over-priced. For example, in futures markets, there is a thing called the basis, the difference between the future and cash price of a good reflecting the yield on the asset vs. the opportunity cost of money (ie, the interest rate). One of the components of that basis is the convenience yield, in that if there is a shortage, having the actual commodity will have a great value. For goods subject to shortages (eg, wine presses), this increases the cash price over the future price because having the good on hand can be very valuable in a crisis. William Easterly has argued that Western countries dumping grain on African countries during shortages deprives farmers of essential farmer revenue that comes from crises; often this profit pays for breaking even during normal times, so removing it discourages endogenous markets. Spikes in demand are a large part of any asset owner's income, statistically anticipated and priced into well-functioning markets. Simple awareness of a 'lack of knowledge' about future demand is not helpful, because it presumes the seller assumes the convenience yield or option value is zero. It may have worked in 600 BC, but markets have removed that inefficiency. 

Taleb gives other examples, for instance: avoiding doctors, having different alternatives on vacation or for dinner, the ability to switch jobs, a rent-controlled apartment, or being married to an accountant but an occasional fling with a rock star. To the extent these options are desirable, they are not underpriced, and certainly not free. People realize this, which is why they are rarely mentioned as examples of antifragility by Taleb's many supporters. The bottom line is that things with convexity are too costly in general because people love lottery tickets; convexity is not the essence of any antifragile example because they are generally not good investments (antifragility is supposedly a good investment or strategy). 

Another misleading application is in biology or economics, where populations or markets that have had to withstand more competition and external variability dominate those with benign environments. A bacteria population in the lab loses its ability to withstand stressors, an industry protected from new entrants loses its ability to compete when technology changes the game, or an industry protected against failure becomes bloated and less robust. Systems that allow or even encourage failure thrive relative to those that protect its members from failure. In economics, the basic idea of exiting losing businesses is perhaps the most crucial advantage of the free market over socialism. Failure strengthens the herd, whether animals or firms

Taleb states that his notion of antifragility is behind the following: "evolution, culture, ideas, revolutions, political systems, technological innovation, cultural and economic success, corporate survival, good recipes, the rise of cities, cultures, legal systems, equatorial forests, bacterial resistance." Success within these domains comes from looking at the competitive success of groups benefiting from hormesis vs. those insulated from it. Competition leads to the resiliency and efficiency needed to survive.

Back to his definition of antifragile, it is not that the prospering agents are convex to stress, rather that as survivors their progeny takes over the extinct's lebensraum; the dynamic effect of robustness in a system based on survival of the fittest looks like convexity.  Indeed, Taleb notes the property applies to the group, not the individuals: "the surviving cohort is stronger than the initial one—but not quite the individuals since the weaker ones died." So here, like with hormesis, he notes it is a metaphor, not a precise analogy. He is quite aware that such systems are not direct examples of antifragility because the agents that generate convexity at the higher level are merely robust, via hormesis, and their germline exhibits convexity. 

A robust business has to innovate because every business model changes over time. Jeff Bezos notes success takes someone with a stubborn vision yet flexible on details, because without a strong vision one's strategy overreacts to current failure or success, while without flexibility one cannot adapt when things do not work precisely as planned, as they always do. Note here we see a classic example of 'moderation in all things,' where the optimum lies between an excess and deficit.  In contrast, Taleb describes a caricature of vision via his "teleological fallacy" which is the "illusion that you know exactly where you are going." One could go on all day about the inadequacies of strawmen, as Taleb does.

An industry protected from failure or change via union work rules or bailouts removes the micro-instability needed at all levels of a company to develop innovation, robustness, and a healthy familiarity with failure. While some rules and regulations are good, most are merely a pretext for barriers to entry protecting current workers and firms. This is just an argument for allowing stress, and the resulting failures it implies; that is, for hormesis to do its thing.

Becoming excellent first requires a lot of domain-specific hard work, with a focus that enlarges some things while excluding others. Jordan Peterson argues that flow comes from operating at the edge of our competence, with enough mastery to generate satisfaction yet enough novelty to be challenging. To an outsider, such explorations can seem like random tinkering, but for an expert, it is a variation on their unusual intuition. Suggesting that the general strategy of accumulating convex exposures is the key to success is a profound error, as in the difference between the benefit of anger, and anger directed at the right person at the right time and in the right way.

An essential attribute of someone who innovates is their ability to embrace failure. Adversity is a great teacher, why mother giraffes knock their newborns down just after first learning how to stand;  they have to learn quickly on the African grasslands. Embracing failure is easy to say but hard to do, which Taleb acknowledges. Actually, he doesn't explicitly acknowledge this, but as he never mentions why he worked for several banks while he was a trader (blow up?) or the fact that every close friend he mentions in Antifragile is highly successful, suggests he sees failure as a characteristic of unremarkable losers.

Failure will always be costly, and due to moral hazard, no one will sell you a put option on your failures (you would fail on purpose to cash in on your put option).  In addition to acclimating ourselves to failure, just as useful are the Christian virtues of faith, hope, and love. If you have faith in what you hope for regardless of your economic success and love someone who loves you for who you are, failures under the sun are not so terrible. This allows you to explore more virgin territory so that when the unexpected happens, you might be in the right place at the right time.

There are two ways to generate an option payoff. One is to buy an option; another is via dynamic replication, which involves doubling down a position as it becomes more in-the-money. The outsized success of winners over losers in dynamic systems generates large convexities, but to be a winner, the keys are not buying options, but rather, via resilience acquired through hormesis, surviving long enough to achieve success indirectly via a combination of vision, excellence, and flexibility (obliquity). To describe the essence of this as creating option payoffs focuses people on explicit optionality, as opposed to the optionality that comes via hormesis. Resilience generates outsized winners in dynamic zero-sum competition over time as the survivors take over. This is why everyone mentions examples of hormesis, waves their hands, and hopes no one notices the bait-and-switch.

Promoting the new idea that acquiring options on the next Black Swan is the basis of "our own existence as a species on this planet" is the sort of hyperbole you hear at TED talks. It is the sort of thing bureaucrats love because they are generally too high up to have much domain-specific expertise, and the incoherent but plausible-sounding theme allows one to talk about strategy without actually knowing anything specific. Then you give examples of your great idea that are really something else entirely, and fade to black...






Friday, March 28, 2008

Taleb on Bloomberg

Bloomberg has a big story on my favorite literary-philosophical-mathematical flâneur, Nassim Taleb. It appears his book, The Black Swan, is a huge best seller, and supposedly he gets $60k per speech now, all for his new theory: 'shit happens'. He's also saving us from the oppression of the Normal distribution, which statisticians believe exactly describes the world (fools!).

Why is Taleb so popular now? Perhaps you have heard of the Sub-prime debacle? Nassim called it. Whatever unexpected that happens you'll find that most of the experts didn't expected it--just as Taleb predicted. Space Shuttle? Berlin Wall? Britney's meltdown? Again, these thing were big events, and most experts didn't expect them, so Taleb did. Well, actually all he said was that unexpected things happen a lot. Is that a correct call? If you believe so, you are a Taleb fan.

The article starts by noting that Taleb was lecturing to a group of Morgan Stanley risk managers, lambasting 'stress tests'. This is strange because one would think that, to a guy that hates the normal distribution, or really any parametric distribution, he would love the stress test. Stress tests can be anything you want: what happens to your portfolio if the S&P goes up 10% and the dollar falls 10%? Improbable, perhaps, but these are nonparametric, their scope is only limited by your imagination. That he would say these are bad, leaves one to wonder, what, exactly, he thinks risk management should focus on. But that is not Taleb's oeuvre, which is merely to criticize any forecasting tool because it is imperfect. The only positive advice he gives, is trivial, things like, go to cocktail parties, because you might hear a good idea in such a nontraditional environment; or that you should invest in wacky investments that have Powerball-type upside. Good luck with that.

Success is mainly marketing, and you have to hand it to Taleb, he's slyly presents himself as a prescient speculator, someone who makes money taking positions, without ever really saying so. For instance, it is remarked in the story he 'made' $35MM on eurodollar options on Oct 19, 1987 (the market crash). As a trader, that just means he didn't have his risk hedged, because remember, we was primarily a market maker then, a guy who makes money off customer flow, and so generally you don't want these guys taking sides, they make money off the bid-ask spread. And so the 200 point move in Eurodollars that day (unprecedented) exposed him. That's simply a mistake, and others who didn't hedge their risk probably had the opposite pnl. But, elsewhere, if I remember, Taleb admits that his Oct 19th fortune was luck. Nevertheless, by putting out he 'made' $35MM, and that traders called him 'Nassim the dream', clearly it suggests he has the Midas touch. Subtle.

And then there's his hedge fund, Empirica Kurtosis, a fund he ran for 5 years, from 2000 through 2004. There was a joke when I was at one fund, where a bad idiosyncratic trade is always called a 'hedge' after the fact. That is, the money you lost on that punt on volatility, or the oil bet you made that goes against you, you say was hedging something else in your portfolio. It's a nice way to explain away a bad idea. So after the fund starting grinding out losses, Nassim started calling his fund a 'hedge', not a fund, later, a 'laboratory'. Now he says about the fund:
`Our aim was not to make money,'' Taleb says. ``I make no claims of being able to beat markets.'

But he makes sure any article that mentions his fund notes he made 60% in 2000. The only record of his total fund was a WSJ article on him in 2007, which notes he lost money in 2001 and 2002, made single digits in 2003 and 2004. That averages out to around 12%, and as the risk free rate was about 4% over that period, and the volatility was probably around 17% on a monthly basis, thats a Sharpe of 0.47. Not so good. And that's with his unaudited returns, so it's probably biased high (people have a tendency to round unaudited results upward significantly).

Like almost everything he writes, he is inconsistent, which makes taking him seriously pointless, because he can say that he said anything: his fund was a hedge, it made a ton of money; he was a lucky trader, he was a skilled speculator. I'm clearly a minority in my assessment of his insight, but then again, I didn't like Confessions of an Economic Hit Man or Nickel and Dimed either. Basically, my favorite books tend to be #347 in their category.

The story mentions his former assistants are starting funds based on capturing the Black Swan, a fantastic plan. If you write a best selling book about investing, clearly some of those readers will be rich hedge fund investors. Now pitch them with the following story that is totally consistent with your revolutionary insights: I get 2 and 20 fees. Your returns will be near zero, until we catch a financial Black Swan, whose return cannot be quantified, but think Google or Harry Potter. Of course, 'absence of evidence' is not 'evidence of absence', so if nothing happens after 10 years, that proves nothing. Heck, even a lifetime of zero alpha proves nothing. Meanwhile, on $1B, that's $20MM per year. Brilliant!

Friday, December 03, 2010

Nassim Taleb Imitates Kanye West


The often angry-looking Nassim Taleb just published a book of unlinked tweets: The Bed of Procrustes. It is short and has a Kindle version that costs 72 cents less than the hardcopy.

As to its flaws, it reminded me of one of my favorite aphorisms: "the man who early on regards himself as genius is lost.” He inverts the observation that geniuses are often misunderstood to the insight that misunderstood people are geniuses, and critics of such people are imbeciles who don’t even have the taste to appreciate genius. My criticisms are therefore consistent with him being right or wrong, but falsification is not symptomatic of punditry in general or Taleb in particular.

It is a golden rule not to judge men by the opinions but rather by what their opinions make of them. His many fans highlight the effect of Taleb's thinking as they speak like Renfield discussing Count Dracula:
”excellent; it's a must read ... I'll refrain from demonstrating my foolishness and ignorance by trying to interpret any of them in this forum.” ★★★★★

“Those who understand the book will refrain from summarizing its message.” ★★★★★
They sound like a cult of scared guru worshipers.

I suspect that Taleb dreams of someday winning the Nobel Prize in Economics for his popularization of Rietz’s peso problem (1988), fat-tailed distributions (Mandelbroit 1963), or Knightian uncertainty (1921), at which point he would refuse it and then raise his stature above all those before him. Alas, as defective as the econ Nobel is, it ain't the Peace Prize. He has not added any new significant idea to any of these richly researched threads, rather merely tries to convince readers he and his followers are the only ones in the world who really understand them. For example, he extensively documents that financial time series are not exactly Gaussian, something financial standard bearer Eugene Fama investigated in his 1960's dissertation. He meticulously proved something everybody in the field has known for decades.

Winston Churchill said ‘It is a good thing for an uneducated man to read books of quotations’, and I agree. Many useful truths in mathematics and physics are old hat but essential pillars of wisdom, concise, and so too for the many proverbs that have been handed down to us. Readers usually retain aphorisms they parse out of an author’s sustained argument, a pithy summary (eg, Smith’s ‘By pursuing his own interest he frequently promotes that of the society more effectually than when he really intends to promote it’). Taleb knocks out the middle-man and publishes a couple hundred of his random thoughts.

Such a book needs a certain predisposition because when Chauncey Gardiner said 'there will be growth in the spring' in the movie Being There, it was considered profound basically on how you perceived the vehicle spouting such statements. Consider that the most absurd economic proposition will be taken seriously if you can find it in Keynes's General Theory, in which case, it's an argument that deserves consideration (Pay men to dig holes and fill them in again? GT p.220, really). Thus Taleb gives us these beauties:
"Fortune punishes the greedy by making him poor and the very greedy by making him rich."

"Karl Marx, a visionary, figured out that you can control a slave better by convincing him he is an employee."

"Sports femininize men and masculinize women."

"Every ten years collective wisdom degrades by half."

"The nation-state: apartheid without political incorrectness."

Perhaps his acolytes are correct, these remarks defy exegesis. But if you aren't going to make sense, you might as well be funny: Marx's 'time flies like an arrow, fruit flies like a banana.' Taleb's humor is less like Groucho, more like Karl.


Kanye West is also very popular and like Taleb tweets his fans with petulant rants. Consider these Kanye Classics:

“Because I have sacrificed real life to be a celebrity and to give this art to people, which is great. It is great that I was able to do that…”

“I am God’s vessel. But my greatest pain in life is that I will never be able to see myself perform live.”

“You want me to be great, but you don’t ever want me to say I’m great?”

"George Bush doesn't care about black people."

Modesty is a virtue not because it implies servile humility, but because it implies a combination of honesty and knowledge. Using self-righteous anger to justify immodesty just highlights one's immaturity. Here's Taleb channeling his inner Kanye:
"Your reputation is harmed the most by what you say to defend it."

"A genius is someone with flaws harder to imitate than his qualities."

"It is a waste of emotion to answer critics."

"Bad mouthing is the only genuine expression of admiration."

"People reserve standard compliments to those who do not threaten their pride; the others they often praise by calling 'arrogant'."

"It is the appearance of inconsistency, and not its absence, that makes people attractive."

The last thing most people need to think is that criticism is mainly from fools who misunderstand genius, because as I've entered middle age and had children I have found 1) children are learning and a fast rate while most adults have stopped learning and 2) adults can avoid criticism, whereas a child cannot. These are not unrelated.

It is frustrating when people dismiss your ideas and it's comforting to imagine they are all envious fools not worthy of your genius, yet this is just succumbing to your baser instincts. Like everyone else, I don't like criticism, and when I was young I was insecure and immodest, and this hurt me in many ways. Over time wisdom has made me more confident and humble. Thus, while my CPU may be slowing and RAM shrinking, I'm processing feedback more efficiently than I used to, and I wish I appreciated the value of modesty earlier.

Criticism and advice are often wrong, but that merely highlights it is not a sufficient condition to becoming a better person, only a necessary one. Life is too short to learn everything by trial and error, so watching and listening to others is essential. A bias that critics are cretins leads to a life guided only by errors so great they can not be ignored, an inefficient path to enlightenment.

I do agree with a lot of what Taleb says, but as he is pridefully inconsistent (it makes one interesting, supposedly), this does not mean much because once you say 1+1=1, everything, true and untrue, is implied. For example, he states the detection of false patterns is a major problem, excluding the pattern of increased falsely perceived patterns; he's a rebel telling the academy what they don't want to hear, yet his arguments are based on academic science and mathematics; data are definitive and the past is misleading. These are not profound paradoxes but rather confused ramblings. It would take a lot of psilocybin for his oeuvre to seem deep to me.

An unqualified glowing NY Times review of "The Bed of Procrustes" references this interview as exemplifying his trenchant criticisms, as he states ‘we should eliminate value-at-risk.’ In The Bed, Taleb argues that 'knowledge' is knowing what does not work as opposed to what does, but this is just letting perfection being the enemy of the good. All theories are wrong, some are useful. If you eliminate Value-at-Risk, what do you replace it with?

As a tool, Value-at-Risk is better than nothing. It is also better than something like the TSA's nonquantifiable terrorist threat indicator. Indeed, one very nice thing about Value-at-Risk, it can be wrong! It can be tested and calibrated at reasonable extremums to capture some of the nonlinear risks in a portfolio, whereas threat level 'orange' remains not even wrong. A metric that captures 1 in 20 events balances the objectives of calibrating a risk metric and capturing some nonlinearity, because you need to generate real observations to calibrate (it isn't applicable to portfolios with assets held for several weeks or more). There’s a trade-off between capturing only the tail events that really matter, and empirically validating the metric.

Value-at-Risk is not perfect, but prior to this you had a jumble of indicators that were not comparable, and logically you usually can't say an array of indicators is 'high' or 'low', just that some items are higher and some are lower, and this leads to an ambiguous interpretation, and impossible testing and calibration. Imagine trying to have a discussion about risk at a desk with currency, equity, and bond exposures, all with their various derivatives. If you are not allowed to bucket risks into groups and add them up using some consistent methodology it would be an endless narrative with lots of adverbs.

As to Taleb’s admonition to not ‘confuse the map for the territory’, that was a cliche in the 1960s. More importantly, the problem is not omnipresent but rather selective, because theory-free observation is not suboptimal, rather impossible. The real issue is which theories are bad and in what ways, not that theory is bad.

For example, like Taleb, I find many economic models excessively rigorous because such theories do not add precision or clarity to an idea, only faux sophistication. Thus, Romer's growth theory, or Krugman's increasing returns to scale theory, did not add clarity to an existing debate, only false rigor to ideas more clearly and accurately stated in words. Note that even Romer and Krugman don't build arguments on their models, rather they merely use them for presenting their bona fides. The models are mainly for proving one is clever as opposed to making a novel point. A formalization of well-known arguments that disingenuously presents itself as a new theory is bad because this leads to a wasted focus. Further, some models become so convoluted they make falsification impossible, allowing an intellectual error to persist for a generation as true believers can always point to different parameterizations that work (eg, input-output macro models, large-scale Keynesian macro models, stochastic discount factors).

Hayek's theory of the importance of markets and profit-seeking in decentralizing incentives, Adam Smith's Invisible Hand, the Coase Theorem, and George Stigler’s theory of search and information, meanwhile, were real advances in our understanding of economics, and these did not entail sophisticated mathematical equations. ‘Example’ is more intellectually honest than ‘theorem’ when presenting an economic argument. Representing an idea using measure theory is considered top academic work, but it’s usually pure pedantry.

Unfortunately, the idea that some rigor is good got turned into an arms race in rigor. Really important economic ideas that necessitate heavy mathematics are rare, confined almost exclusively within game theory (eg, Arrow’s Impossibility Theorem, Harsanyi’s general Bayesian model of games, Hurwicz’s mechanism design, Meyerson’s revelation principle), and game theory itself has been much less fruitful than originally thought. Continuous time, Hilbert space, real analysis, have not added to our understanding of economic problems, they merely remind us that any simple mathematical idea can be made more rigorous.

As per unlikely events being under appreciated, I would say it is the opposite. Most internet spam and investment scams are based on things that could happen but probably won't. Improbable events, when priced, are generally overpriced, largely because they can't be hedged and markets are thin, so as a buyer of these things, you tend to overpay: out-of-the-money options, wacky investment or business ventures. As Tyler Cowen wrote in his otherwise positive review in Slate, this big idea does not work in Taleb's main field of expertise, options (peevish Taleb violated his aphorism to ignore criticism back then, and got very mad at Cowen).

This focus on the improbable can lead to excessive risk taking, such as buying lottery tickets or joining multi-level marketing schemes, and too little risk taking, as when we forgo nuclear power or irradiating eggs because of improbable nightmare scenarios. Pity the investor who bought volatility based on the idea that people under appreciate it, as the straightest volatility play, the ETF VXX, has lost 90% of its value since inception in Jan 2009. The key is not to increase the perceived probabilities of small probability events, rather get them as correct as possible. Some should go up, some down, and this is hard work.

A really good aphorism is distilled in the context of a broader set of work, such as Bertrand Russell's remark that "One of the symptoms of an approaching nervous breakdown is the belief that one's work is terribly important", which for a man who spent a decade on the futile task of trying to axiomatize mathematics (later proven impossible by Kurt Gödel), is truly profound. It is advice Taleb would do well to take.

fyi: my old review of Taleb's Black Swan

Friday, March 13, 2009

Review of Taleb's The Black Swan


I wrote this a while ago, mainly based on posts I had done over at Mahalanobis, and posted it on my website. I figure I'd update it and put it out here where more people might see it, as the book in question is still quite popular.

Nassim Taleb is a former trader who wrote a textbook on option and market making, and then became more philosophical in his best seller Fooled by Randomness, and now in The Black Swan. His big idea is that sometimes, unexpecting things happen: countries dissolve into anarchy, wars start, unknown authors become famous. His secondary ideas are variations on this theme, that people, especially experts, are generally biased, overconfident, and rationalize past event so they appear deterministic. Stated baldly, these assertion are hardly novel but true enough, and one can argue about their relevance in various cases. As a highly popular presentation of ideas near to my interests and vocation, I think it is worth critically examining if there is anything to his particular contribution to the literature on cognitive biases or social failures. My conclusion, in short, is no.

Taleb’s style is to severely criticize experts and authorities--lots of 'morons', 'idiots', and 'fools' out there--while implying that both he and his reader or listener are exempt from their many biases. Reading someone deflating puffed-up egos, criticizing the insular world of academics, and suggesting the experts have a huge blind spot on something important, can be fun reading. But it has to be making points that are true if new, or important if true, and here he fails to deliver.

For someone advocating doubt and criticizing expert and 'regular' people’s overconfidence and arrogance, Taleb’s writings are filled with certainty, anger, and immodesty, having the Godelian impossibility of someone shouting 'I am the most humble!' Indeed, his current popularity based on prescience in forecasting recent events, and his emphasis that this proves him correct is exactly the kind of naive confirmation based on small samples that he argues is sloppy thinking. Consistency is not a hobgoblin in Taleb's mind.

While people are generally overconfident about their diving ability or common sense, does that same overconfidence lead people to underestimate the probability of market crashes, and thus the price of insurance (eg, put options?) The data suggest the opposite is true, that is, that people overpay for such improbabilities based on hope. Survey data on beliefs are not necessarily economically important, because markets elicit results not from unmotivated an ignorant masses, but from a highly motivated and informed subset. People willing to offer ‘a side’ to such a bet tend not to be biased, and also pad their bets with a considerable safety margin so that their errors are not catastrophic, which in practice means you obtain much lower odds for improbable events than what simple surveys would imply.

A major theme of Taleb is that models of uncertainty are too precise, and this thread has a long history. Taleb's sometime co-author Benoit Mandelbrot has been trying to sell the world on the big idea of fractals in finance for several decades. James Gleick’s Chaos outlined the essence of Benoit Mandelbrot’s fractals, which takes a simple few lines of inputs to create graphics of insane complexity yet also beautiful recursive symmetry, in many cases eerily similar to nature (eg, ferns, snowflakes). In dynamic systems, you have chaotic systems that are purely deterministic though sufficiently complex that they appear random. These systems have large jumps, or phase shifts, reminiscent of market crashes or sudden bankruptcies; they have butterfly effects where small changes produce big differences in outcomes. Mandelbrot and others have been trying to apply these ideas to financial markets for many decades now (since 1962!), and the effort has not gained any traction, in spite of many papers applying this concept (search skew or kurtosis in any financial journal and you will see many papers). Mandelbrot’s big idea in finance is that finance relies on a profoundly flawed assumption, mainly that market prices are normally distributed. Mandelbrot argues market prices have much fatter distributions described by Cauchy distributions, as evidenced by the high number of 5+ standard deviation moves in financial markets.

The result of these mistaken assumptions is to understate risk, according to Mandelbrot, and so overprice stocks and underprice options, and also understate the capital cushion financial institutions need to withstand market risk. Mandelbrot’s alternative approach is based on new parameters that would replace the mean and standard deviation. His first parameter is Alpha, derived from Pareto's Law, is an exponent that measures how wildly prices vary. It defines how fat the tails of the price change curve are. The second one, the H Coefficient, is an exponent that measures the dependence of price changes upon past changes. Unfortunately, Mandelbrot himself acknowledges in The Misbehavior of Markets that no two individuals calculate the same Alpha and H Coefficient when using the exact same historical data: there is no unique way to calculate these two parameters. Thus, using one method, you could derive Alpha and H coefficients that suggest a stock is risky, using another method you would reach the opposite conclusion. This flaw probably has some bearing on its lack of practitioner popularity.

Frank Knight, meanwhile, in his classic Risk, Uncertainty, and Profit in 1921, outlined the basic idea that it is uncertainty, in the form of non-quantifiable dispersion, that is at the root of profits. The basic idea is that risk, once quantified, is diversifiable, and thus becomes risk-free. If you know that your champagne bottle could burst while fermenting with probability p, that number becomes very manageable the larger your operation via the law of large numbers. Economists have been intrigued by this notion ever since, but by definition it is unquantifiable so when you write down a random process, it is no longer Knight-like, making it rather elusive. However, when we come up with uncertainty proxies, such as volatility (surely more volatile assets are generally more uncertain), leptokurtosis (asymmetric tails), or analyst or investor disagreement, the results do not have any obvious empirical implication beyond the fact that they exist. That is, assets with greater downside tail, or analyst disagreement, conditional upon gaussian volatility measures, are not predictive of future returns.

Taleb’s career as a talking head started in 1996 when, as the author of a niche derivatives text, his claim in Derivatives Strategy magazine that the new Value-at-Risk phenomenon was worse than useless made for great debate in risk management circles. I was leading a Value-at-Risk project at the time, so of course I found his criticisms of interest. JPMorgan had just introduced this method of aggregating risks in a highly popular practitioner brief. Their approach, RiskMetrics, outlined in detail the methods of estimating volatility when you had a portfolio of currencies, bonds, equities, and even options. Previously, financial books that contained bonds, currencies, equities, etc., each had little silos of risk reports, but this showed how they could be combined, basically by putting everything into a factor approach, in which every asset has a sensitivity to a factor, and every factor has a certain correlation and volatility. This was not new—factor analysis had been around for a while—but its clear application to a tangible problem was insightful, and created a lot of buzz.

Value-at-Risk was not a panacea, but it was an improvement (the only people who use the word 'panacea' are critics). Taleb’s criticisms of VAR then are similar to his criticisms now: that a metric is not flawless, and those who believe parametric applications of VAR are fools. In a trivial sense he is right, but in the case of VAR, or specific parametric statistics, or expectations in general, there are many users who understand that tools need to be supplemented by judgment, adjustments for the parochial realities of various asset classes with their various deviations from pure 'normality'. It is a cliché on the risk management lecture circuit that you need not just technical knowledge, but judgment, mainly by senior executives who don’t have any technical knowledge. Even in these stressed times, Taleb was dead wrong on VAR, in that in spite of his criticisms it is ubiquitous as a method for amalgamating short-term risks from different instruments into a single metric.

VaR is not useful for allocating capital, or estimating the cost of equity, but it is useful in keeping your traders honest. It allows one to measure risk given various assumptions, and like any model it is garbage in-garbage out. The recent financial crisis has often been blamed on VaR. To the extent certain banks applied VAR to mortgages, using, say, a 10-day VAR based on data from the benign 1990s, was an error. Yet, the ubiquity of this error suggests it was not a mathematical mistake (math errors are random and go in both directions), rather a flawed assumption that implied benign VAR exercises: the fact that housing prices do not decline. One can say with hindsight, this was incredibly stupid, yet no one was arguing for financial institutions must be robust to this scenario prior to 2007, and the government regulators were actively encouraging no downpayment, no documentation loans as part of a multipronged effort to increase home ownership. That is, the mistaken assumption was part of a broader mistake, comprehensible to all, not some technical error by risk managers, because that assumption was not theirs to make; it was part of a zeitgeist that people seem to forget like all those who forgot voting for Nixon after he resigned. Most importantly, VAR is not perfect, nor a panacea, but the onus is on critics to describe a better alternative. Using 'judgment' or 'all one's information' seems better with hindsight, yet as foresight this is so undefinable it would be a signficant step backward.

If you were to list all the financial company bankruptcies, the one common thread would be that they blindsided investors with their exposures. Who knew Orange County had such a position against interest rates ex ante in 1994? Who knew Barings had such an exposure to a trader in Singapore in 1997? These were not properly calculated risks that went awry, nor were they outright fraud where an unauthorized intraday position blew up. They were the result of investors or management not fully understanding the risks that were being taken, which often a correctly calculated VAR number, correctly communicated, would have easily shown. The errors were problems in getting an accurate VAR, which clearly needs people getting accurate data on positions.

If operating risk is the primary reason why trading operations fail, emphasis on refining VAR seemingly misses the point. Operating risk is neglected for good reason, however, in that it is extremely difficult to quantify existing operating risks, which in turn makes it nearly impossible to evaluate methods of monitoring and reducing these risks. Just as Eisenhower stated it is essential to plan prior to battle even though once a battle has commenced the plan is useless, VAR is essential in planning the allocation of capital, yet in risky situations becomes useless. This is not a paradox, but merely the fact that when we train for competition, we practice tactics and strategies. Inevitably competition, especially competitions we ‘lose’, will bring forth situations we have not prepared for, but the best preparation for such an occurrence is not nihilism, but more practice. And indeed many new situations are avoided by practice, which is why we learn math by solving old problems, because we think these tools are useful to unknown new problems. The alternative, to instead focus on operational risk, is such an undefined objective, that it is much less salutary.

Taleb argues that the unpredictability of important events implies we should basically forget about all that is predictable, because that’s not where the real money or importance is. So from a risk management perspective, we should ignore Value at Risk, which measures anticipated fluctuations. Further, we should ‘go long’ on these unanticipated events by engaging in quirky activities on the off-chance that we randomly find something, or someone, really valuable.

Success in markets, like life, is a combination of ability, effort, and chance. Much of intelligent thought is distinguishing between what is predictable versus what is unpredictable; it is to any organism's advantage to find out what we can figure out and change, and what is forever mysterious and unalterable (eg, the Serenity Prayer). The brain is constantly predicting, trying to figure out cause and effect so it can better understand the world. Most of what humans process is predictable, but because we take predictable things for granted, they are uninteresting. We can't predict some things, but instead of resorting to nihilism, we merely buy insurance or manage
our portfolios--in the broad sense of the term--to have an appropriate robustness. Discovering certain things are basically unpredictable does not diminish our constant focus on trying to predict more and more things. People will disagree on which risks at the margin are predictable, but that's to be expected, and we all hope to be making the right choices that optimize our serenity at the margin of our predictable prowess.

From Taleb's Wikipedia entry circa July 2006, we see where Black Swan thinking goes when applied to an investment strategy:

When he was primarily a trader, he developed an investment method which sought to profit from unusual and unpredictable random events, which he called "black swans." His reasoning was that traders lose much more money from a market crash than they gain from even years of steady gains, and so he did not worry if his portfolio lost money steadily, as long as that portfolio positioned him to profit greatly from an extremely large deviation (either a crash or an unexpected jump upwards).

In fact, Mandelbrot also argues for this strategy. Taleb co-authored a paper arguing that most people systematically underestimate volatility. Furthermore, he argues there exists not only a lack of appreciation of fat tails, but a preference for positive skew, in that people prefer assets that jump up, not down, which would imply the superiority of buying out-of-the-money puts as opposed to calls because those negative tails that increase the price of puts are unappreciated.He is affiliate with some fund that tend to be long tail risk, presumably by being long deep out-of-the-money options, but selling at-the-money options, a locally delta and vega neutral strategy.

These assertions present some straightforward tests, which a Popperian like Taleb should embrace. Specifically, buying out-of-the-money options, especially puts (because of negative skew), should, on average, make money. But insurance companies, which basically are selling out-of-the-money options, tend to do as well as any industry (Warren Buffet has always favored insurance companies, especially re-insurers, as equity investments). Studies by Shumway and Coval (2001) and Bondarenko (2003) have documented that selling puts is where all the extranormal profit seems to be. Of all the option strategies, selling, not buying, out-of-the-money puts has been the best performer historically. Further, Sophie Ni finds that out-of-the-money options are more overexpensive the degree they are out-of-the-money.

Malcom Gladwell wrote a 2002 New Yorker article contrasting the thoughtful, pensive Taleb versus the brash cowboy Victor Niederhoffer: Taleb buys out-of-the-money puts, Niederhoffer sells them. Taleb is betting on the big blow up, Niederhoffer on the idea that people overpay for insurance. Who was right? Well, Niederhoffer ran his flagship fund until September 2007 from a chalet-style mansion in Weston Connecticut . Taleb shut down his Empirica Kurtosis fund at the end of 2004, and the only public data on it suggest a rather anemic Sharpe ratio (up 60% in 2000, but then fluttered). Later Taleb described the fund as a hedge or laboratory. While neither strategy was great, and returns are proprietary, I venture that Niederhoffer's was better if you would just look at their lifetime Sharpes. Taleb's latest funds, which he is less involved with day-to-day but implement his basic beliefs in extremes, were up significantly in 2008, though this is to be expected given the extreme decline, and is similar to how Empirica started.

Taleb's big problem is that he misinterprets the mode-mean trade. A mode-mean trade is where a trader finds a strategy with a positive mode, but zero or negative mean. He then uses someone else’s capital to make money off several years of good returns, making good money for creating or managing the strategy, then, when the strategy gives it all back, the investor bears all the loss. The zero mean means that all the modal returns come crashing down in short time, generating large losses, and the manager walks away with his il-gotten bonuses from the benign modal periods. That’s a bad strategy for the investor, and the trader who manages it is either naïve or duplicitous. High Yield debt is a good example, as the stated yields are quite high, but the total returns to B rated bonds is the same as for BBB rated bonds, at several times the risk (and very concentrated in recessions). However, just because selling puts is a bad strategy, it doesn't mean buying puts is a good strategy. A Sharpe of 0.2 is a bad long position, but a worse short.

A ‘Black Swan’ is something that is totally unexpected and important. [European] people assumed all swans were white, but then they saw a black swan, and everyone certain all swans were white was wrong! That’s a 'gotcha game' for people who really take seriously someone’s assertions on the color of birds. But when there’s a price involved, the payoff to such an insight is not obvious, if not totally absent. For example, London bookmakers offer ‘only’ 250-1 odds a perpetual motion machine will not be discovered, and 100-1 odds aliens won’t be contacted: longshots ignored in a casual context are usually overpriced in actual markets.

In option markets, there is a volatility smile, whereby out-of-the-money options have higher implied volatilities, especially on the downside. For example, in May 2006 when rumors of GM's woes were large and its stock price was around 32, GM options had a one-year at-the-money implied volatility of 60, but down at a strike price of 15 its volatility is a much higher 140. The fact that Black-Scholes assumes lognormal returns does not imply market participants think likewise, so it is simply incorrect to assert that a market collapse of 23 standard deviations has a infintesimal probability based on the normal distribution, because real markets are aware of fat tails. Perhaps options were priced this way in the 1980's, but since then, there is a volatility smile that directly captures non-nomality. You can't profit from the idea that market returns have fat tails because that's priced into the market via the volatility smile, and this volatility smile shows up in 'disaster' insurance of all types: People pay a lot to sleep easy. Many people have looked at option prices, and they all find that out-of-the-money puts are the most overpriced of all options—people are expecting ‘Black Swans’ too much on average.

Taleb responds by noting that the 1987 stock market crash changes everything, because if you bought puts then, you would have made enough money to make up for decades of otherwise weak performance. While Shumway and Coval do not include 1987 in their academic study, Bonderanko does, and gets the same results. Taleb points out several anecdotes of financial market crises as further evidence of the importance of financial debacles, such as the 1998 crisis related to Long Term Capital Management (implied vols, libor spreads, skyrocked), or the emerging markets blow up of 1997. These events made money for people with long volatility, or specifically long puts, but the plural of anecdote is not data, so he should have cited an empirical paper showing the positive abnormal returns to taking on fat-tailed or asymmetric risk. Though it is easy to recall extreme events that would generate large fortunes to those on the correct side, one has to put them in full context, against the cost of insuring against these events over long periods of time. What is the sample space of all things one is insuring against? Stasis is data, as Stephen Jay Gould used to say. The volatility smile, and large bid-ask spreads in the extremes as a function of price, imply you can’t make extranormal profits over the long run by going long ‘Black Swans’ - at least in the markets where Taleb has the most experience (though not, according to him, expertise, which is more philosophically oriented).

The bottom line is that people tend to underappreciate low probability events when they are immaterial--because they are immaterial! So they underestimate the prevalence of Black Swans because if you find one, who cares? But hurricane insurance, a 3-delta put option on GM? You will pay up for that.

In the end, he promises to teach us how to take advantage of these Black Swans. His strategy is pretty simple. He argues for a barbell strategy of much safety, and a dollop of wild risks, which is, basically, an exposure to something totally unquantifiable, like Llama farms, or any of the myriad opportunities neighbors, spammers, and late-night paid-TV tout. In the context of Tobin’s two fund separation theorem, this means the ‘efficient’ risky portfolio is the most insanely unquantifiable and risky portfolio you can imagine, tempered by its modest allocation. Yet this implies the unquantifiable and risky portfolio has very good returns, which by definition (unquantifiable) is merely an assertion. As per the super safe assets, the only consistent risk premiums are from extending from overnight to a couple years in bond maturity, and from going from AAA to BBB credit risk. Super safe, is generally 'too safe', in that economists find this risk premium outsized relative to its volatility or covariance difference.

There is good reason to suspect one loses money, on average, on the wildest risks. Consider longshot odds at the racetrack and the highest payout (and thus riskiest) lottery tickets. Researchers have found a negative return premium for highly volatile stocks. Applied to ‘uncertainty’, this same pattern holds, as stocks with the most earnings forecast estimation error also have the most volatility, so it is no surprise they too have a negative premium. Truly improbable scenarios generally involve more hope than rational investment, as people will pay you to help them dream of the chance to become incredibly rich in the same way that the biggest lotteries, with 100 million to 1 odds, have the highest jackpots and the lowest mean returns. There are an infinite number of companies that directly target people wishing to make an end run around the rat race, and most of these companies are engaged in selling nothing more than hope (estimates are that only 2% of proposed home-based businesses touted on the internet are legitimate business opportunities).

Black Swan argues that standard statistics is flawed because it is backward looking — it uses ‘historical’ data — and argues that standard measures of risk like the normal distribution are ‘frauds’. I too prefer future data, but it is hardly a practical alternative. The Gaussian distribution is common in theory because it is so analytically tractable; it often creates closed form solutions that allow one to see how one variable affects another, and has nice properties, such as the fact that two Gaussian random variables added together is also a Gaussian random variable. In practice, no one actually believes in this view, and makes ad hoc adjustments, such as the volatility smile for option prices. The key is that from an expositional point of view, the Gaussian distribution usually gives one the gist of the true ‘fatter-tailed’ distribution, and allows easy exposition. Non-economists often giggle at the term ‘fat-tailed’ or homoskedasticity, but indeed most real world distributions are not ‘Normal’ or Gaussian, they simply have fatter tails than average. Does this imply statistics is a fraud? Well, if you mistake the map for the territory, indeed, this is news. For everyone with some common sense it’s an approximation or expositional device.

Taleb belittles predictions that have large or unmentioned error rates, yet any specific error metric (standard deviation, value-at-risk, correlation, R2, etc) is, in his mind, a fraud and useless because it relies on an assumption, one that is 'wrong'. He argues we reward those who imagine the impossible, but what does that mean in practice? That we encourage people to enumerate everything possible no matter how improbable? In finance, these risk reports are all too common because they reflect a lot of work, in that generating a list of unprioritized things that could happen is easy but practically useless, because you simply can’t address all the points and so must leave them as mere ‘I told you so’ observations. One can remember Richard Clarke’s vague warning about Al Qaeda prior to 9/11, which in no way suggested that changes to hijacking protocols or airline boarding should be made, but rather that something could happen, true but unhelpful.

Getting people to highlight wild risks comes easy, which I think is a big part of his book’s appeal. Legislators and personal-injury lawyers eagerly hype risks with negligible real impact, like secondhand smoke, or getting cancer from trace amounts of chemicals. Sometimes they create considerable public concern about risks that don't exist, like that of contracting anti-immune disease from breast implants, or cell phones causing cancer. Newsrooms are full of English majors who make confident pronouncements about global-warming or some other complicated process, all in hopes of getting viewers or readers activated.

I could imagine Taleb teaching a statistics class to freshman and instead of starting with the arithmetic mean and standard deviation, asking 'what was the probability of an airplane taking down the World Trade Center on September 10, 2001?', and waxing poetic about how ‘we just don’t know!” Students might think such talk is much "cooler" than boring formulas, but such confused thinking leads nowhere in particular and can be indulged indefinitely without producing anything useful, as Taleb demonstrates. Of course one needs technical knowledge and common sense in anything, but while you can teach one, you can't teach the other. We teach statistics, calculus, etc., not because it solves every problem, but because it can help in many problems to delineate and potentially manage that which we can change from that which we can’t. Surely a college department of 'wisdom' or 'good judgment' would be a valuable thing, unfortunately no one can agree on the curriculum.

Martin Gardner wrote a popular column for Scientific American, and in the process received a lot of mail from ‘cranks’ telling him about perpetual motion machines and the like. So he wrote a book called Fads and Fallacies. In the book he describes "cranks" as having five invariable characteristics:

  1. They have a profound intellectual superiority complex.

  2. They regard other researchers as idiotic, and always operate outside the peer review

  3. They believe there is a campaign against their ideas, a campaign compared with the persecution of Galileo or Pasteur.

  4. They attack only the biggest theories and scientific figures.

  5. They coin neologisms.

On his personal website, Taleb once described himself as being "an essayist, belletrist, literary-philosophical-mathematical flâneur," a conception that some people finding endearing, me not so much. Literary-philosophical-mathematical types,- especially flâneurs - tend to be 'full of themselves,' supporting Gardner ’s characteristic #1. He prides himself on not submitting articles to refereed journals, considers most people who are indifferent to him as fools, and disdains editors, even spellcheckers (#2). He proudly notes that someone told him “in another time he would have been hanged [for what, inanity?].” Wilmott Magazine, a quant publication published by his colleague Paul Wilmott, wrote a fawning article about him in which they noted that he is “Wall Street’s principal dissident. Heretic! Calvin to finance’s Catholic Church” (#3). His website states his modest desire to understand chance from the viewpoint of “philosophy/epistemology, philosophy/ethics, mathematics, social science/finance, and cognitive science”, supporting #4. Lastly, for #5, he has gone so far as to print a glossary for his neologisms (eg, “epistemic arrogance” for “overconfidence”). In Martin Gardner’s taxonomy, Taleb is a classic crank.

Clearly his experience as an options trader gives him credibility, but I think this is a big issue, that of successful brokers thinking they made their money off investing insights. Before he became a regular on the talking-head circuit and expert on Judeo-Arabic philosophy, he was primarily a trader for large market makers. These are not speculators investing their wealth based on insights, but more like brokers, making money off customer flow, only their buyers and sellers are the guys on the phones talking to retail clients. Such traders spend most of their time looking at a model such as Black-Scholes that tells them what price to buy and sell based on some underlying parameters. These models are more or less standard, and so the main thing the market maker has to do is keep his model inputs fresh, post prices to potential buyers and sellers, fill market orders, and pick off stale limit orders. Customers generally have access to older prices, and in a situation where the current price moves every second, this clearly puts a trader at an informational advantage, which is why it was such a lucrative field, especially in the days before the internet became big (ie, Taleb's time). The trader makes money irrespective of movements in the underlying model price, as in general he keeps his exposure to first-order (eg, delta) and second order (eg, vega) risks as close to zero as possible.

But such trading skill is quite distinct from what a speculator or investor does, which involves a directional bet on the first or second order risks that traders normally try to erase. Traders know as much about what makes prices move as plankton knows about what makes the tides move. Much of being a trader is encouraging trading activity from a hesitant broker, and so many traders are quite adept at presenting themselves as more than middlemen, but also men with an angle or a story. A good trader is probably truly delusional about his prognostic abilities because this allows him to appear sincere in his sales pitch for the latest trade idea; those who don't believe their own stories make weak sales pitches (see Robert Trivers, who Taleb mentions favorably in The Black Swan, and note the irony endemic in his writings). Most of these traders are certain they could make money without their customer flow, because the same self-deception that serves them well chatting up brokers or impressing their boss generates delusions of strategic grandeur. Supreme self-assurance, even if undeserved, just as much as knowing your Greeks, makes for a good trader . Thus Taleb’s ‘narrative fallacy’ argument plays right into his own biases, that is, he has fooled himself into thinking he knows 'the big picture' because that delusion was helpful in his own career.

Rich investor or rich broker: Who is the more easily fooled about his alpha? Notice the relation to the theme of Fooled by Randomness? Taleb is consistently amusing because his criticisms of others apply so neatly to himself: he claims he is an empiricist yet supports his points with anecdotes. The Black Swan makes fun of ‘experts’ with credentials, but he states he does not deign to engage with anyone not sufficiently expert; he states he is not interested in being a speaker-bureau commodity , but routinely travels the rubber chicken circuit; he derides forecasters who don't give a full accounting of their prior forecasting history, yet delinks old remarks about Value-at-Risk, and recategorized his extinct Hedge Fund as a hedge, not a fund; he claims to prize humility, yet is most immodest; he argues against applying the law of large numbers, and also of inferring too much from small samples; people apply models to reality in biased manner, people naively extrapolate data without the appropriate theory; forward thinking is adaptive, forward thinking is error-laiden. Some people think inconsistency is a sign of genius; I think it just reflects confused thinking.

Inconsistency is the major problem with Taleb's oeuvre. For example, he often praises the work of Danny Kahneman as one of the uniquely prophetic economists, famous for his 'prospect theory' that explains why people will be risk seeking in small losses in but risk loving over large gambles. That is, Prospect Theory was invented to explain why people will pay small amounts to gamble, but are risk averse over gains. Yet Taleb argues that a predominant financial vice is the mode-mean trade, where people desire to make a little bit every day, often at the expense of blowing up on 'fat tail' events. These are opposite theories, which would not be a big deal if they were minor assertions from these men, but in fact they are the signature financial hypotheses of each. Taleb may appreciate Kahneman's diverse work, but one would expect him to be a harsh critic of this seminal idea, not the huge unqualified fan he is.

To be popular it is helpful to make people think they are learning something new about something novel and important. Yet the masses do not really like novelty, they like affirmation of their inchoate prejudices. Thus, a reader can leave The Black Swan thinking that any expert is either a charlatan or a fool except Taleb and those smart enough to appreciate him, a group that prides itself on knowing what they don't know, that any specific model is imperfect and therefore evidence is naive Platonism. The current financial crisis may make radical theories that suggest junking existing theory more attractive, but remember that the Great Depression was a Black Swan, and this did not help macroeconomic theory so much as lead it into the desert for 40 years, giving many a wasted life championing not merely a welfare state, but socialism and all its unintended horrors. If something really unpredictable happens, the large number of perennial disparate forecasters of disaster, combined with bayesian statistics, still implies those calling for the end of times are probably 'lucky fools', as Taleb would say. I do agree his claims of an extreme event were spot on over the past year, but this is no less impressive that Henry Blodget's Amazon call in 1998, Elaine Garzarelli calling the 1987 stock market crash, or Angelo Mozilo's subprime investment success up to 2006 made him a business visionary. I look to broader historical data and see buying out-of-the-money options is poor investment strategy, so I don't consider recent events proof of some really useful truth.

To the degree The Black Swan has arguments about the essence of risk they are at least a generation old, even if many are pleasantly introduced to them for the first time (fat tails see Mandlebrot (1962), nonquantifiable risk see Knight (1921), for various cognitive biases see Kahneman, Slovic and Tversky (1982) which was a compilation of papers mainly done in the 1970's), and these books have spawned, or are clearly referenced, by literally thousands of books. The Black Swan may popularize the concept of low probability events, what were called 'peso problems' (see Rietz 1988), and that would be a good thing. But ultimately, the bumper sticker "shit happens" is kind of funny, kind of true, but hardly profound.