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198 Making Use of the Four Online Conduit Strategies interaction. Now people can take and swap both still and moving images from their digital cameras, video cameras, cell phones, and laptops. As the technology improves, the pictures will improve and the whole social network experience will become that much richer. Already, for many people, participation in one or more social networks is taking the place of watching television or reading a book or a magazine. I don t think peoples nature has changed that much; despite our busy, modern lifestyles, we are still social beings. The venue today is more digital than the Grange Hall or the church basement. If you buy my argument that human beings really want to belong to speci c types of social networks, and if you also buy my argument that the Web is increasingly the next-closest thing to physical life without actually being in another person s presence, you understand the phenomenal growth of online social networks.

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For actively managed products, it is always useful to compare the performance (net of all fees) of the product under review to the appropriate benchmark. While it can be dif cult at times to select a speci c benchmark to match each and every portfolio that you might measure, generally most products have a reasonably good benchmark that can be used for comparative purposes. Refer to 4 for a list of generally accepted benchmarks for U.S. and non-U.S.-based products. When arriving at a grade for historical performance relative to the stated benchmark, I generally look at performance over several time periods (one year, three years, ve years, and since inception). For products with short track records, I review the actual performance record for whatever time frame is available, score them based on that record, then penalize products in the following way: Track record less than three years (subtract one point). As a result, the maximum score is 4.

4, Copulated Nightmares, focuses on the subliminally failing mathematical models used by banks and rating agencies to dissect the creditworthiness of the exotic (toxic) structured securities at the heart of the whole debacle, in particular the so-called Gaussian Copula model 5, Blah VaR Blah, deals with the famous Value at Risk tool employed by everybody and sponsored by regulators, which, inevitably once more, failed to measure risks even half-accurately and, worse, decisively encouraged and sanctioned the wildly leveraged wild risk-taking that brought Wall Street (and consequently the world) down 6, Blue Is Not Green, concludes by denouncing the reluctance of theorists to admit their defeat even in the face of so much havoc; provides crisis-related anecdotes that show that in the markets anything, frankly, is possible; and makes a rotund call for an end to theoretical indoctrination as a way to avoid a similar future meltdown.

We call this original version the Plackett Slepian comparison lemma. Further versions have been given by Slepian (1961), Berman (1964), and Leadbetter et al. (1983). The present statement, due to Li and Shao (2002), contains and re nes the previous ones. Proof. We introduce some additional notation. For t [0, 1], let

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7, The Black-Scholes Conundrum, is about, well, how the Black-Scholes (Black-Scholes-Merton, BSM) option pricing model presents nance theory with a troublesome conundrum Theorists have for a long time bragged about BSM as an invincible symbol of the prowess of mathematical nance and how it can change the world However, at the same time, it is undoubtful that BSM presents a report card full of disappointments The most glori ed of theoretical constructs has displayed a tormentous capacity for havoc-wreaking, for example during the crash of October 1987, and is obviously not completely trusted by traders We had known this for years, but it didn t seem to seriously challenge the perception that BSM is a successful theory But something new, much more threatening has come up.

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