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Of market and math

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  • In the real world, credit rating agencies were supposed to address part of the information asymmetry. As is well known, they failed. Post-crisis, there have been calls for better rating and better disclosure on bundling. But these are pragmatic solutions. Economists have to address the theory.

    Now, it’s not as if economics hasn’t dealt with information asymmetries. Extraordinarily insightful work has been done on this. Nobel Prizes have been awarded for work on information asymmetry. But what theoretical economics is unable to answer for now is whether the conflict between information asymmetry and risk distribution via asset bundling is solvable.

    The Math Question. This centres on modelling returns on investment. The mainstream theory elegantly proves that diversified portfolios give the best bang per buck. Financial traders routinely use the tools of this theory. And mostly it does seem to work; everyone is not losing money all the time. But, like in the previous case, there’s a key assumption: returns to investment have to be normally distributed; there should be no extremes.

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    If a statistician says the average IQ of Indian Express staffers is x with a small standard deviation of y and that this is a normal distribution, what he means is that a big majority of Express staffers will have their IQ in the x-y and x+y range. There will be a very few on either side of this range.

    But investment returns in finance may not always be normally distributed; there may not be a meaningful average or a meaningful small deviation from it. In jargon, this is called power law distribution. Such distribution of investment returns can happen, especially at a time of quick change, in technology, in globalised investment opportunities, in financial sophistication, etc.

    ... contd.

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    CRASH OF 2008By: sanjiv | 24-Nov-2008 Reply | Forward Definition of Risk as Standrad Deviation around Mean, Beta, the EMH Concept in fact the foundation of Modern Finance has been repeatdely proven wrong over last 20-30 years. VaR, another holy mantra was criticised as a "single digit magic number produced by pioneers of pecuniary perils to mislead the senior management in believing that market risk is properly controlled" BLACK-SCHOLE-MERTON model the magic formulae for option valuation was proved to be a disaster within a year of its authors getting Nobel award. The mathematical disasters, weapons of mass destructions, toxic assets all are well documented and known facts. In spite of this historical perspective, the genius of Wall Street invited the disasters. Irrationality and herd mentality plagues not only the common folks but also the corporate honchos and double doctorate in Maths, Physics dominating the Wall Street.
    Of market and mathBy: Rajaram B | 24-Nov-2008 Reply | Forward Well written- finally the innocent assumption that market plays straight and it is only a matter of assuming normal distribution with low standard deviation which did not prove to be right is right... but solution has to factor in correcting the asymmetrical information where the credit rating agencies should have been more honest while the bundling the risks for re-sale, will remain. It is a matter of honesty and integrity. So long as fees become important, both auditors and the credit rating agencies are liable to be seduced at one point or the other. The trick is to become cautious when some groups of people without creating real physical wealth or service , start becoming stinkingly rich, that is parasites' income falling outside the normal distribution curve for incomes, monitored stochastically, for rate of change, warning bells should ring that a Ponzi's game is on.
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