A Portrait of State-of-the-Art Research at the Technical by Paulo P. Freitas, Hugo A. Ferreira, Filipe Cardoso, Susana

A Portrait of State-of-the-Art Research at the Technical by Paulo P. Freitas, Hugo A. Ferreira, Filipe Cardoso, Susana

By Paulo P. Freitas, Hugo A. Ferreira, Filipe Cardoso, Susana Cardoso, Ricardo Ferreira (auth.), Manuel Seabra Pereira (eds.)

The Technical collage of Lisbon (UTL) is celebrating this 12 months its seventy fifth anniversary. Being a jubilee celebration, an entire application of occasions happened, together with a two-day Symposium at the study at UTL. This Symposium addressed the state-of-art in significant components of excellence at UTL. technology, know-how and innovation and how universities and society mostly, create, use and disseminate wisdom have won a growing to be signi?cance during the last many years. UTL without doubt embeds a appropriate capability of excellence in several parts of analysis in uncomplicated and technologies, which bears its improvement at the foundation of a “research collage” version. This booklet includes the edited model of the invited lectures that have been brought by way of trendy researchers at UTL. This ebook brings jointly in a evaluate demeanour a accomplished precis of top quality learn contri- tions throughout easy and technologies. The contributing papers are geared up round the following significant components: – Emergent parts (Nanosciences, Quantic Computations and Infor- tion, hazard and Volatility in monetary Markets); – uncomplicated Sciences (Mathematics, Physics, Chemistry and Materials); – Social Sciences, Economics and administration Sciences; – existence Sciences and Biotechnology; – Engineering and applied sciences – Nature, atmosphere and Sustainability; – Public healthiness, nutrients caliber and protection; – future health and activity Sciences; – Urbanism, Transports, structure, Arts and layout. The transdisciplinary nature of so much components goals to emphasize a compelling feel of goal within the paintings developed.

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The analysis reveals that the standard estimators based on the sample ~ X i' ,i 1,2 ,... are inconsistent even if we allow the step of discretization ' to go to zero asymptotically. Introducing slight modifications to these estimators we provide consistent estimators. See also [22]. ^ ` ^ ` ACKNOWLEDGEMENTS I would like to thank Tom Kundert for helpful comments. This research was supported by the Fundação para a Ciência e a Tecnologia (FCT) and by POCTI. REFERENCES 1. 2. 3. 4. Aït-Sahalia, Y. (1996), Testing Continuous-Time Models of the Spot Interest Rate, The Review of Financial Studies 9, 385-426.

Such transformation cannot be done in common univariate diffusion processes used in finance (because all sample paths from univariate diffusion processes are nowhere differentiable with probability one). g. stock prices and nominal exchange rates) behave as the cumulation of all past perturbations (basically in the same sense as unit root processes in a discrete framework). Second, in the context of stock prices or exchange rates, the model suggests directly modelling the (instantaneous) returns, contrary to usual continuous-time models in finance, which directly model the prices.

On the other hand, if a process is bounded (in probability) and mean-reverting to W (say), the function E >'X t X t 1 x @ must be positive if x is below W and negative if x is above W . 'X t 31 Financial Econometric Models Now consider a process that is bounded but behaves like a RW. What kind of function should E >'X t X t 1 x @ be? As the process behaves like a RW, (i) it must be zero in some interval and, since the process is bounded, (ii) it must be positive (negative) when x is ''low'' (''high'').

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