Renewal equations for option pricing

In this paper we will develop a methodology for obtaining pricing expressions for financial instruments whose underlying asset can be described through a simple continuous-time random walk (CTRW) market model. Our approach is very natural to the issue because it is based in the use of renewal equations, and therefore it enhances the potential use of CTRW techniques in finance. We solve these equations for typical contract specifications, in a particular but exemplifying case. We also show how a formal general solution can be found for more exotic derivatives, and we compare prices for alternative models of the underlying. Finally, we recover the celebrated results for the Wiener process under certain limits.

Sildenafil as a therapeutic option for digital ischemic ulceration: case report.

We report the case of a 37-year-old woman who developed critical upper limb ischemia caused by a cervical rib. Because the malformation was initially undiagnosed, a vascular bypass was performed, and failure occurred. Following a 6-month therapy with sildenafil, revascularization of the arm was successful and amputation was avoided. A 6-year follow-up shows a rich collateral network at the compression site and normal values of digital plethysmography. Because hand surgeons often see patients with digital ulcerations and other manifestations of peripheral vascular pathology, therapy of ischemia with sildenafil could be an effective treatment option in patients not responding to classic drugs.

On Option Price Information Content and Extraction of Implied Probability Distributions

In this study we used market settlement prices of European call options on stock index futures to extract implied probability distribution function (PDF). The method used produces a PDF of returns of an underlying asset at expiration date from implied volatility smile. With this method, the assumption of lognormal distribution (Black-Scholes model) is tested. The market view of the asset price dynamics can then be used for various purposes (hedging, speculation). We used the so called smoothing approach for implied PDF extraction presented by Shimko (1993). In our analysis we obtained implied volatility smiles from index futures markets (S&P 500 and DAX indices) and standardized them. The method introduced by Breeden and Litzenberger (1978) was then used on PDF extraction. The results show significant deviations from the assumption of lognormal returns for S&P500 options while DAX options mostly fit the lognormal distribution. A deviant subjective view of PDF can be used to form a strategy as discussed in the last section.

Fuzzy real option analysis in patent related decision making and patent valuation

The shift towards a knowledge-based economy has inevitably prompted the evolution of patent exploitation. Nowadays, patent is more than just a prevention tool for a company to block its competitors from developing rival technologies, but lies at the very heart of its strategy for value creation and is therefore strategically exploited for economic pro t and competitive advantage. Along with the evolution of patent exploitation, the demand for reliable and systematic patent valuation has also reached an unprecedented level. However, most of the quantitative approaches in use to assess patent could arguably fall into four categories and they are based solely on the conventional discounted cash flow analysis, whose usability and reliability in the context of patent valuation are greatly limited by five practical issues: the market illiquidity, the poor data availability, discriminatory cash-flow estimations, and its incapability to account for changing risk and managerial flexibility. This dissertation attempts to overcome these impeding barriers by rationalizing the use of two techniques, namely fuzzy set theory (aiming at the first three issues) and real option analysis (aiming at the last two). It commences with an investigation into the nature of the uncertainties inherent in patent cash flow estimation and claims that two levels of uncertainties must be properly accounted for. Further investigation reveals that both levels of uncertainties fall under the categorization of subjective uncertainty, which differs from objective uncertainty originating from inherent randomness in that uncertainties labelled as subjective are highly related to the behavioural aspects of decision making and are usually witnessed whenever human judgement, evaluation or reasoning is crucial to the system under consideration and there exists a lack of complete knowledge on its variables. Having clarified their nature, the application of fuzzy set theory in modelling patent-related uncertain quantities is effortlessly justified. The application of real option analysis to patent valuation is prompted by the fact that both patent application process and the subsequent patent exploitation (or commercialization) are subject to a wide range of decisions at multiple successive stages. In other words, both patent applicants and patentees are faced with a large variety of courses of action as to how their patent applications and granted patents can be managed. Since they have the right to run their projects actively, this flexibility has value and thus must be properly accounted for. Accordingly, an explicit identification of the types of managerial flexibility inherent in patent-related decision making problems and in patent valuation, and a discussion on how they could be interpreted in terms of real options are provided in this dissertation. Additionally, the use of the proposed techniques in practical applications is demonstrated by three fuzzy real option analysis based models. In particular, the pay-of method and the extended fuzzy Black-Scholes model are employed to investigate the profitability of a patent application project for a new process for the preparation of a gypsum-fibre composite and to justify the subsequent patent commercialization decision, respectively; a fuzzy binomial model is designed to reveal the economic potential of a patent licensing opportunity.

Metodologia de Estudo de Dieta Total no Estado de São Paulo para estimativa de ingestão dietética de elementos tóxicos e essenciais: a elaboração da Cesta de Mercado (Market Basket)

O objetivo do estudo foi elaborar a Cesta de Mercado para a realização de Estudos de Dieta Total (EDT) para avaliação de ingestão dietética de elementos tóxicos e essenciais no Estado de São Paulo. A fonte de dados foi a pesquisa de consumo nacional domiciliar atualizada, Pesquisa de Orçamentos Familiares (POF) 2002-2003, do Instituto Brasileiro de Geografia e Estatística (IBGE). Para estimar o consumo de alimentos pela população estudada, os dados de aquisição alimentar utilizados foram pertinentes ao Estado de São Paulo. A Cesta de Mercado inicialmente foi formulada com os dados disponíveis das publicações do IBGE, e para detalhamento dos alimentos foram pesquisados os seus Micro dados, resultando numa Cesta de Mercado com 71 alimentos, que corresponde a 72% do peso dos alimentos da população do Estado de São Paulo, segundo a POF. Como abordagem sugerida pelos EDT já realizados em outros países, os alimentos foram agrupados em 30 compostos, que serão posteriormente analisados para determinar o seu conteúdo dos elementos essenciais e tóxicos.

Athlétic : organe officiel de la Fédération française d'athlétisme et de basket-ball

1933/12 (A2,N84).

Athlétic : organe officiel de la Fédération française d'athlétisme et de basket-ball

1933/01 (A2,N37).

Athlétic : organe officiel de la Fédération française d'athlétisme et de basket-ball

1933/10 (A2,N76).

Athlétic : organe officiel de la Fédération française d'athlétisme et de basket-ball

1932/12/08 (A1,N32).

Athlétic : organe officiel de la Fédération française d'athlétisme et de basket-ball

1932/07/28 (A1,N13).

Athlétic : organe officiel de la Fédération française d'athlétisme et de basket-ball

1932/10/13 (A1,N24).

Athlétic : organe officiel de la Fédération française d'athlétisme et de basket-ball

1934/03/29 (N5).