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Computational finance is increasingly important in the financial industry, as a necessary instrument for applying theoretical models to real-world challenges. Indeed, many models used in practice involve complex mathematical problems, for which an exact or a closed-form solution is not available. Consequently, we need to rely on computational techniques and specific numerical algorithms. This book combines theoretical concepts with practical implementation. Furthermore, the numerical solution of models is exploited, both to enhance the understanding of some mathematical and statistical notions, and to acquire sound programming skills in MATLAB®, which is useful for several other programming...
Computational finance is increasingly important in the financial industry, as a necessary instrument for applying theoretical models to real-world challenges. Indeed, many models used in practice involve complex mathematical problems, for which an exact or a closed-form solution is not available. Consequently, we need to rely on computational techniques and specific numerical algorithms. This book combines theoretical concepts with practical implementation. Furthermore, the numerical solution of models is exploited, both to enhance the understanding of some mathematical and statistical notions, and to acquire sound programming skills in MATLAB®, which is useful for several other programming...
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I volumi nascono dalla esigenza comune da parte della comunità scientifica operante nel dipartimento di Economia Aziendale dell’Università degli studi di Roma Tre di dare il suo contributo alla ripartenza conseguente la pandemia da Covid-19, peraltro ancora in corso. L’iniziativa nasce da uno scambio di idee, esercitato nel corso del lockdown da parte di alcuni colleghi, cui ha fatto seguito un’azione coordinata da alcuni ma condivisa e sposata da tutti gli autori. Il Dipartimento ha aderito in toto, con ciò dando un concreto segnale di quanto tutti i Professori del Dipartimento di Economia Aziendale, ciascuno con le sue competenze specifiche abbiano saputo dare il loro contributo all’iniziativa. I volumi rappresentano un concreto esempio dell’attività multidisciplinare perpretata, nel continuo, all’interno del nostro Dipartimento attraverso la fattiva attività di ciascuno dei suoi membri ed il coordinamento del Direttore. Ogni contributo è stato inserito nell’ambito di una tematica più generale creata per dare spazio alle inclinazioni scientifiche di ciascun docente.
This book presents solutions to the general problem of single period portfolio optimization. It introduces different linear models, arising from different performance measures, and the mixed integer linear models resulting from the introduction of real features. Other linear models, such as models for portfolio rebalancing and index tracking, are also covered. The book discusses computational issues and provides a theoretical framework, including the concepts of risk-averse preferences, stochastic dominance and coherent risk measures. The material is presented in a style that requires no background in finance or in portfolio optimization; some experience in linear and mixed integer models, however, is required. The book is thoroughly didactic, supplementing the concepts with comments and illustrative examples.