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where (d1 , . . . , d4 ) is chosen in Z, does not depend on the way to choose Y1 and Y2 . is the Fourier transform of (say) g( ), which is taken among f ( ); f ( ) or f ( ) f ( ). De ne g( ) = i g( ) and g( ) = 2 g( ). Then ( (s))d1 ( (s))d2 +d3 ( (s))d4 is the Fourier transform of the function h( ) = g (d1 ) ( ) g (d2 +d3 ) g

Our self-enslavement to theoretical dictates may result in forced enslavement to misery and turmoil By stubbornly focusing on measuring the unmeasurable (using less-than-ideal tools, to boot), technicians endow the nancial community with a misplaced and unjusti ed sense of con dence that uncertainty has been tamed The amount of unsound risks taken may drastically increase as a result Rather than contribute to a better understanding of the markets and provide a reliable deciphering tool that prevents people from getting into trouble, nancial economics and mathematical nance may in fact overwhelmingly contribute to make the markets a much riskier and chaos-prone proposition The credit crisis, naturally, is hard proof of all this Theoretical self-enslavement did not end well, once more Perhaps, with the nancial system in tatters, it s an appropriate time to realize that we should fear Platonic quantitative preciseness much more than we fear earthly vagueness.

This part discusses the steps that typically precede the actual manager analysis. 1 focuses on the identi cation of investment guidelines and investment manager objectives. s 2 and 3 outline the methods currently available to source investment managers and discuss how to quickly and ef ciently obtain enough relevant information to cull the list of prospective managers down to a smaller, more manageable list. While not the focus of this book, I consider these chapters to be the foundation with which any successful investment manager analysis could be conducted. Setting objectives is a critical element in the overall process because it provides a frame of reference by which we will be able to make ef cient and effective decisions. It also allows investment manager analysts to effectively and ef ciently manage their time. Naturally, once we set the objectives, we then need to nd an appropriate universe of investment managers as well as a means of ne-tuning the list. Finally, it is important to develop an ef cient means of collecting data for evaluation. This data needs to be easily obtained and consistent for all the investment managers under review.

Ikeda, N, and Watanabe, S (1981) Stochastic Differential Equations and Diffussion Processes North-Holland, New York Iribarren, I (1989) Asymptotic behaviour of the integral of a function on the level set of a mixing random eld Probab Math Statist, 10(1), 45 56 Ito, K (1964) The expected number of zeros of continuous stationary Gaussian processes J Math Kyoto Univ , 3(2), 207 221..

We should release ourselves from the self-imposed quantitative chains and shackles and set free from harmful blind allegiance to equations-laden dogmatisms As long as we take the brave step to remove the self-imposed blindfolds, we won t be fooled again We need to develop an unremitting disdain for the notion that we can quantify, that we can measure, that we can understand We need to instill in the fabric of our society an overarching sense of incredulity, a fanatical atmosphere of quantitative skepticism The chapter also discusses how the uberprevalent notion of Normality in nance theory is particularly deleterious for the real world To put it bluntly, the assumption of normal markets can deliver abnormally chaotic markets By dreaming up a mathematically convenient tame world, nancial economics can unleash raving unquietness By assuming peaceful conditions, you get casualties-infested war Normality, in brief, can kill us.

We explain why this is so and provide real-life examples Finally, we highlight another essential danger associated with the prevalence of theoretical ideology within the markets and the economy, namely the fact that we may succumb to the charms of a mathematical gadget and abide by it without actually understanding what it means This can cause undue dislocations in the markets, as players act according to a guide that they can t read right We can t have wildly misunderstood, in uential theoretical devices running loose throughout the nancial landscape The analysis focuses on perhaps the most prominent of such misread tools, the famous volatility index (VIX)..