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Even without the recent tremors, it would be utterly urgent to discuss the harm that quantitative concoctions can cause in real life; obviously, the credit crisis just made such coverage insultingly unpostponable The crisis simply presented too good an opportunity and made the topic irresistibly timely The mayhem has brought to the fore the failings of mathematical nance on many, not just one, fronts These simultaneous debacles mark this historical episode as one of the most illuminating epitomes of the havoc that unsound theories can wreak, and of how we need to be aware of and careful about the limitations of nancial modeling Also this book, while dealing in large part with theories and theoreticians, does so in plain English, not in the mathematical language preferred by modelers.

In this chapter, we shall summarize the central themes of this book. At the time of writing, the mobile industry was well on its way in recovering from a period of telecom downturn , a period of low spending in the early 2000s. Interest in new services is recovering among end-users, service providers and operators. In particular, services related to the Multimedia Messaging Service (MMS) have caught on during 2003 and 2004. Packet-based services create new opportunities for end-users, service providers and mobile operators, but also pose new challenges. Customers are getting used to advanced services and as reliability increases, so do the expectations of end-users. Good service quality will not be a differentiating factor in the future, but rather a must-have feature that needs to be in place to reduce churn. The adoption of new services bene ts from novel ways of doing things. New charging models are needed to replace traditional time-based charging with charging schemes suitable for a particular type of content. With services becoming more complex and having different types of content, new kinds of value chains are possible where each provider can focus on its own strengths. This means that new roles such as service aggregators will emerge and, indeed, have already emerged. Furthermore, there will be no single rigid

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This was an added plus for me, since I believe that I have a proven (and, possibly, nonhabitual) ability to do a decent job at covering issues pertaining to advanced nancial stuff in an easy-to-understand, jargon-free, perhaps even enjoyable manner In that sense, I thought that the prospect of clearly explaining to a general-public audience (experts welcome too, of course) how nancial theories can impact the markets and society was too tempting to forgo Another big attraction of the book were the many exciting subplots (highly relevant in themselves) that could be dealt with on top of the super-hot main central theme, including the story of the modern critique of the Black-Scholes formula; how rating agencies rated complex credit derivatives on the run-up to the crisis; how investment banks modeled those complex securities; why people may profoundly misunderstand the famous VIX volatility index; how pros may use theories to justify.

The precise situation in the gilt market in March 1998 will not recur because the special ex provision has been discarded. However, in markets that permit delivery of bonds on only one day of the month (as do most European bond futures markets), threatened failure is all too common. Since the gilt event, every expiration of a European bond futures contract has been priced to make some allowance for a potential failure, dragging the bonds ranked second or third to the CTD closer to the level of the CTD. This will continue until the delivery rules are amended, the buy-in provisions altered, or futures failure rules amended. More general market failures are also a concern. The G-10 xedincome market has enjoyed a long period without systemic disruption. The failure of Barings in 1995 merely caused a mild chill. The huge losses sustained by many banks in the emerging-market crisis and the Long-Term Capital Management debacle were prevented from becoming systemic problems by concerted and well informed central bank action. This does not mean that markets will never fail. And certainly the events in late 1998 indicate that markets can falter to the extent that it becomes dif cult to execute trades. In the late summer and fall of 1998, concern about trader viability reduced willingness to trade the basis in all the sovereign markets. Traders became concerned that, in making delivery, they would effectively exceed one-day value limits with their clearing brokers. In December 1998, Japanese government bond futures contracts failed to arrive at a closing price for several days in a row, and the electronic trading system

In practice, the amplitude of H f in Eq. (17.6-5) actually reduces the amplitude of the nal result. This can be prevented by using the phase-only lter given by H f e j gT

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