Future of Financial Mathematics?
An anonymous reader writes "Nassim Nicholas Taleb, a famous 'Quant,' has long been a strong critic of the use of mathematics and statistics in the financial markets. He has been very vocal in his books The Black Swan and Fooled by Randomness. In his article on edge.org, he says 'My outrage is aimed at the scientist-charlatan putting society at risk using statistical methods. This is similar to iatrogenics, the study of the doctor putting the patient at risk.' After the recent financial crisis, wired.com ran an article titled 'Recipe for Disaster: The Formula That Killed Wall Street' in which the quant David Li and his Gaussian Copula were crucified — we discussed it at the time. Now, I've recently been admitted to a graduate program of good repute in Computational & Applied Mathematics. There is a wide range of subjects in which you can pursue your PhD, one of them being Financial Mathematics. I had a passing interest in it for quite some time. In the current scenario, how advisable it is to pursue a PhD in this topic? What would my options be five years down the line? Will the so-called 'quants' still be wanted by the banks and other financial institutions, or will they turn to more 'non-math' approaches? Would I be better off specializing in less volatile areas of Applied Mathematics? In short, what is the future of Financial Mathematics in light of the current financial crisis?"
... given that people want to see subjective numbers. See:
http://www.amazon.ca/How-Lie-Statistics-Darrell-Huff/dp/0393310728
Don't pick your research area based on profitability or popularity. There are always "hot" areas of research but these things are usually cyclic. Pick something interesting that excites you, and that you can spend the next 4 (or 5 or 6 or 7) years working on.
chillax137
Reading up on the Wikipedia article on this guy...
"Taleb appeared to be vindicated against statisticians in 2008, as he reportedly made a multi-million dollar fortune during the Financial crisis of 2007-2008, a crisis which he attributed to the failure of statistical methods in finance "
But his thesis is that such events are fundamentally unpredictable. If he made a fortune, it means _he_ was able to predict it, well enough to profit for it. Which argues not that the events are unpredictable, but rather that his model is better.
As long as it is possible to get paid for the short term results of your crazy bets with other people's money, it barely matters whether the math actually works or not, you are fucked either way.
While I'm all for good mathematical modeling, the notion that our financial problems are caused by bad math is a distraction at best.
There will always be a quant element in finance. I'd guess there will be fewer quants in five years than there were in (say) 2007, but there was definitely an over-supply then. Having said that, most quant jobs don't require you to have had specific training in finance or financial mathematics. For the best firms, its much more about your mathematical and programming abilities. So you definitely don't need to specialize now in finance to become a quant. You could make a case that focusing on AI would be a bigger draw with quant firms. The other advantage of not doing finance now is that it gives you five years to think about whether you want to be in a career where when you get down to it, you rent out your brain to rich people so that they can get richer. I do work as a quant and find it interesting and competitive etc, but ultimately its a money thaang.
... your passion? Are you the kind of person that gets bored even about things you are passionat about? You can study something if you believe it will bring you more money in the future.
What people don't understand is you can LEARN to love doing something by looking at it from another perspective - i.e. take joy in solving problems and strategizing in general and then it shouldn't matter what 'speciality' you go into specifically.
I have worked with companies that implement and use "algorithmic" trading. The real problem is that algorithmic trading doesn't try to beat the market... it tries to beat other algorithmic traders. The idea is to get the trades in before anyone else and there is only so much analysis you can do in a given period of time. Honestly, there's no real analysis to it... it's snap judgments based off a few dozen indicators. It's the equivalent of saying you should guess all C's on standardized tests. On average it works... but you should be shooting for better than average.
As a former Wall Street trader turned academic, I can agree that the demand will continue to grow for financial mathematicians. The "old school" trader is a former ivy-league athlete who is good at networking and teamwork, but can't do a lick of math. The D.E. Shaw's and hedge funds are crushing the "old school" traders as trading becomes more about speed (esp. algorithmic trading) and liquidity and less about connections. The large banks still have plenty that follow the old mindset, but they are slowly being replaced by the more successful "quant" traders. Granted, the current crisis was caused by over-reliance on models, but that happened because most traders and managers did not understand the models and their limitations. To rectify that, there will be an even greater need for those trained in financial mathematics.
1) Taleb has a bit of the stopped clock quality about him. Anyone saying "bad things will happen" is bound to be right sooner or later. Plus, his writing is the most self-indulgent wankfest ever.
2) I don't know whether you will choose financial maths or not, but Banks will always need people that can do "fancy" maths. Although some maths is out of favour, high-frequency (algo) trading is currently still popular, and making money.
Do not be concerned about "restricting" your future options. The applied mathematics in financial mathematics involves all areas of probability, random variables, and stochastic processes. These topics in applied mathematics have wide application in many diverse areas: digital image processing, gambling (e. g., card-counting techniques in the casinos of Las Vegas), computer simulations of warfare outcomes, etc. A degree in financial mathematics will enable you to work in many fields outside finance.
Mathematics, in general, does not restrict anyone's options -- if you are smart and hardworking. Just ask William Perry. He received graduate degrees in "only" mathematics and eventually became Secretary of Defense of the United States. His most recent accomplishment was authoring an essay published in "The Washington Post". In the essay, he advocates using military force to destroy North-Korean military facilities. Mr. Perry is a smart person with the right solution for dealing with North Korea.
If math can be used to tell us which stocks/companies will profit, can't math also tell you which outcome is best for you?
In quantum mechanics, you use statistical models because that is the true nature of the underlying physics. In financial analysis, you do not need to use statistics. A borrower ability to pay monthly payments is not some unknown quantum state, but well known (at least to himself or his employer)
It is a fallacy to estimate risk in lending and then charge interest based on this risk. All borrowers that pay on time should get the best rate and those who don't just should be denied the loan.
The only reason not to do this, is lack of information or lack of computing power.
With fast computers and good data all population statistical analysis should be thrown out, and replaced with calculation for each individual and then integrated. This will replace the entire field of mathematics from insurance to lending and investing.
don't cut it off www.mgmbill.org
And for god's sake, smoke weed.
Everything is better with a bag of weed.
You are welcome on my lawn.
WTF? How did you get from studying mathematics to nuking North Korea? That was beautiful old-skool trolling, man :)
Studying math with some concrete career in mind is like marrying for money.
If you are going to study math, study it for the love of it, and your own soul.
Your degree will prove useful to you in what ever career you choose for yourself later.
As the island of our knowledge grows, so does the shore of our ignorance.
..for a Ph.D. thesis? How can Mathematics be applied to safely invest without damaging Society?
Well, first, NNT is "outraged" at the "inappropriate use" of Quantitative Analysis (according to his books and the articles I've read), not the "utility" of Quantitative Analysis. The reality is that investments' values fluctuate. The role of the Mathematician is to limit the losses, therefore the risks, involved in investing. This is a legitimate role. If you had been working for 45 years and were about to retire, wouldn't you want to know that your retirement funds were as safe as they could be?
Part of the problem comes from the fact that investment value is affected by information other than the worthiness of the investment. This value activity has created an analytical branch of its own, and subsequent buy and sell orders are based on the activity rather than the underlying fundamentals. NNT's argument in "The Black Swan" is based on the idea that since these random events are indeed "random", by definition they are unknowable, unpredictable and un-assessable. So, when these events occur, no contingency plan behaves correctly. Keep in mind, that this is only a problem if the event(s) affect the investment values, or the perception of investment values, in a negative way. Unfortunately, the use of these QA tools creates an aberration in perception, and may be creating it's own perception, and this "perception" may not conform to "reality", therefore leading to aberrant behavior based on an aberrant strategy. (Oooh, the stock market has become psychotic...) Skynet takes over the market and tries to wipe out the humans because its programming tells it that is what humans want.
Mathematics can tell us a lot about what reality "is", and there is a lot of room for a creative Mathematician to alleviate the downside and limits of financial decision-making. I say, if you like Math and this is an area that interests you, go for it. Try to be the best. Be creative and innovative instead of being a sheep.
Malcolm Gladwell's book, "Outliers" deals with somewhat the same problem in a different domain, and Ayers, "Super Crunchers" gives a good layman's view of how well Math can work for us in certain areas. Graham and Dodd, "Portfolio Analysis" may still be the best overall book touching on your field. Benjamin Graham's, "The Intelligent Investor" may still be the best basic investment book. If you want to get out there a little ways, try Prector's, "The Elliott Wave Theory." I had a friend working at Lockheed in Artificial Intelligence, who was responsible for the computer analysis of the market for Prector's newsletter. Every year they would run a 3-month test of the application, and it would consistently make money well in excess of the inflation rate (even in '89). It's been 15 years since I talked to him, and I have no idea how well it's done in the last few years, but the field seems fascinating.
I say go for it, and good luck!
"The mind works quicker than you think!"
Yeah, well, there's no reason to be troubled there. Monte Carlo is great, and great in this situation, because it expands the possible models that people can work with, and if done with any intelligence will give reliable answers and error bounds on those answers. Throw Monte Carlo out the window, and you're back to conjugate distributions and low dimensional models that have far more restrictive and unrealistic assumptions.
Does having a witty signature really indicate normality?
There was an article in Maclean's (our Newsweek) about a pure-science institute having trouble recruiting in the 90's and 00's because "an entire generation of physicists, chemists and biologists went into Finance instead".
The "quant" maths haven't been proven wrong, exactly; whether heavy mathematical analysis and modelling can make markets more efficient and lower-friction is a separate question from the morals of those managing them.
The trouble is, baroque complexity of financial instruments and transactions was the primary concealment tool that allowed all the lying in the first place - lying to other institutions, to regulators, and certainly to the public that handed over all their dough at low interest because the institutions were so guaranteed-safe; and I suspect, they managed to lie to themselves. Models - especially complex ones with many parameters - have a way of reflecting all the prejudices of (and pressures on) the developers. A big part of the scientific method is about systematically counteracting that. There is way less pressure to counteract if you are not working for open publication after a rigorous peer-review. If your models will be strictest trade secrets, however, your only reviewer is your boss - who may personally become hugely wealthy if the model says X, and not much, if it says Y. Science (as in, "the search for truth") suffers.
If nobody, for a generation or two, will trust an institution with opaquely complex business methods, the market for quants is going to stay "plummeted" for a long time. (It has already plummeted because of the contraction in the whole finance industry - I presume you are even asking about this career only because you think there will again be some job openings in 4 years when you complete a degree.)
I think even 4 years from now, there will still be surplus quants littering the weak market; resumes in the hundreds will flood in for openings.
So, stay away from THAT career, job-wise. There's a crying need for physicists, chemists, and biologists.
Don't go getting a masters or PhD if money is the objective. I see WAY too many people who are just hoop jumpers. They are going on to get a higher degree to get a better job. Some of these people get their PhD and then do post doc work not because there's still research they want to do but because they still can't get the job they want. Never occurs to them maybe education isn't the problem, it might be their complete lack of problem solving skills or the like.
A masters and more so PhD are NOT for everyone, they are not even for most people. They are supposed to be when you really want to specialize in an area and do new research on the topic. If that isn't what you are about, then don't go for it. Unless you are going in to a field that has a specific minimum, and most don't past a bachelors, then there's no reason to go for a higher degree just for its own sake.
Any time a friend or family member talks about wanting to get a masters my question for them is always: Why? Not as a petulant "Don't do it," thing but as a challenge. I want them to give me the reason they want to do it. If they can't, or the reason is "To make more money," then I'm going to tell them it is a bad idea. If the reason is "Because this interests and excites me," then I think it is a great idea, even if there isn't going to be a return on the money spent. Education for the sake of learning about what you want is wonderful. Just make sure that is really the reason you are doing it.
No, this isn't flamebait, it's a direct insult.
Any fool who asks for a future historical perspective deserves disdain. Anyone who asks it in regard to predictive activities, doubly so.
Any fool who asks for the impossible (historical knowledge before the events occur) as a means to predict the relevance of fortunetelling...may as well invest in Bernie's fund.
In financial analysis, you do not need to use statistics.
You aren't a financial analyst are you? Statistics is required precisely because financial decisions are almost always made with limited information. You can't model most financial activities including risk without statistics coming into play at some point.
A borrower ability to pay monthly payments is not some unknown quantum state, but well known (at least to himself or his employer)
Actually ability to pay in the future IS unknown even to the borrower. Furthermore ability to pay is not and never will be perfectly known to the lender. There is an inherent information asymmetry because the lender can never be sure the borrower isn't hiding something. Furthermore you are leaving out willingness to pay, as well as the fact that life sometimes isn't so kind and circumstances change. People lose their jobs, they invest with Bernard Madoff, their employer turns out to be Enron, etc. These things cannot always be predicted.
The only reason not to do this, is lack of information or lack of computing power.
So you are comfortable providing no insurance to people with a high likelihood of disease? How about losing most/all access to credit when you lose your job. Because that's what happens with perfect information. Be careful about the unintended consequences of perfect information. Even if a perfect model were possible (and it is not) there are many social reasons why we limit how much information is available and how it can be used.
With fast computers and good data all population statistical analysis should be thrown out, and replaced with calculation for each individual and then integrated.
Except that there NEVER is enough data and it is IMPOSSIBLE to perfectly model future events and actions. Even if I concede that you are right and ignore the unintended consequences, what you are proposing is quite literally impossible. The best you can do in many cases is to make a statistical model of likely behavior based on population models and then seek a portfolio to minimize risk for the desired return. Companies use population statistics because they are the best option available.
True, the sum total invested in financial math WAS TRUE, but that has since been "magically" transformed into worthless derivatives - Geithner's fraudulent PPIP program to the contrary.
There should be mass mobs on their way to Basel to burn down the Bank for International Settlements, and to D.C. to burn down the Federal Reserve Bank; both detrimental to any true progress and human development.
The financial markets run on sentiment. But no PHB will ever be caught admitting as much. Because it basically means they will lose their million dollar bonuses. They hire mathematicians to come up with a mathematical model to explain their decisionz. Taleb talked about it in his book "fooled by randomness". You can be assured that your job in the financial district is secure because the PHB don't understand math. But they want to be seen taking logical decisions. And what better field than math to "prove" that the decision is logical. Q.E.D
O this learning! What a thing it is - William Shakespeare