Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book focuses specifically on the key results in stochastic processes that have become essential for finance practitioners to understand. The authors study the Wiener process and Itô integrals in some detail, with a focus on results needed for the Black-Scholes option pricing model. After developing the required martingale properties of this process, the construction of the integral and the Itô formula (proved in detail) become the centrepiece, both for theory and applications, and to provide concrete examples of stochastic differential equations used in finance. Finally, proofs of the existence, uniqueness and the Markov property of solutions of (general) stochastic equations complete the book. Using careful exposition and detailed proofs, this book is a far more accessible introduction to Itô calculus than most texts. Students, practitioners and researchers will benefit from its rigorous, but unfussy, approach to technical issues. Solutions to the exercises are available online.

Finance --- Stochastic processes. --- Options (Finance) --- Finances --- Processus stochastiques --- Options (Finances) --- Mathematical models. --- Modèles mathématiques --- AA / International- internationaal --- 305.970 --- 303.0 --- 51 --- Algemeenheden: Autoregression and moving average representation. ARIMA. ARMAX. Lagrange multiplier. Wald. Function (mis) specification. Autocorrelation. Homoscedasticity. Heteroscedasticity. ARCH. GARCH. Integration and co-integration. Unit roots. --- Statistische technieken in econometrie. Wiskundige statistiek (algemene werken en handboeken). --- Wiskunde. --- Modèles mathématiques --- Stochastic processes --- Random processes --- Probabilities --- Mathematical models --- Statistische technieken in econometrie. Wiskundige statistiek (algemene werken en handboeken) --- Algemeenheden: Autoregression and moving average representation. ARIMA. ARMAX. Lagrange multiplier. Wald. Function (mis) specification. Autocorrelation. Homoscedasticity. Heteroscedasticity. ARCH. GARCH. Integration and co-integration. Unit roots --- Wiskunde --- E-books --- Mathematical Sciences --- Probability

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Advances in Mathematical Economics is a publication of the Research Center for Mathematical Economics, which was founded in 1997 as an international scientific association that aims to promote research activities in mathematical economics. Our publication was launched to realize our long-term goal of bringing together those mathematicians who are seriously interested in obtaining new challenging stimuli from economic theories and those economists who are seeking effective mathematical tools for their research. The scope of Advances in Mathematical Economics includes, but is not limited to, the following fields: - economic theories in various fields based on rigorous mathematical reasoning; - mathematical methods (e.g., analysis, algebra, geometry, probability) motivated by economic theories; - mathematical results of potential relevance to economic theory; - historical study of mathematical economics. Authors are asked to develop their original results as fully as possible and also to give a clear-cut expository overview of the problem under discussion. Consequently, we will also invite articles which might be considered too long for publication in journals.

Economics -- Mathematical models. --- Economics -- Methodology. --- Economics, Mathematical -- Periodicals. --- Economic Theory --- Business & Economics --- Economics, Mathematical --- -330.0151 --- Economics --- Mathematical economics --- Econometrics --- Mathematics --- Electronic information resources --- Methodology --- E-books --- AA / International- internationaal --- 305.970 --- 305.6 --- Algemeenheden: Autoregression and moving average representation. ARIMA. ARMAX. Lagrange multiplier. Wald. Function (mis) specification. Autocorrelation. Homoscedasticity. Heteroscedasticity. ARCH. GARCH. Integration and co-integration. Unit roots. --- Risicotheorie, speltheorie. Risicokapitaal. Beslissingsmodellen. --- Economics, Mathematical. --- Methodology. --- Economic theory. --- Economics. --- Economic Theory/Quantitative Economics/Mathematical Methods. --- Economic theory --- Political economy --- Social sciences --- Economic man --- Algemeenheden: Autoregression and moving average representation. ARIMA. ARMAX. Lagrange multiplier. Wald. Function (mis) specification. Autocorrelation. Homoscedasticity. Heteroscedasticity. ARCH. GARCH. Integration and co-integration. Unit roots --- Risicotheorie, speltheorie. Risicokapitaal. Beslissingsmodellen

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

A lot of economic problems can formulated as constrained optimizations and equilibration of their solutions.Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories. The series is designed to bring together those mathematicians who were seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking for effective mathematical tools for their researchers.

Economics, Mathematical. --- Economics --- Mathematical economics --- Econometrics --- Mathematics --- Methodology --- Economic theory. --- Economic Theory/Quantitative Economics/Mathematical Methods. --- Economic theory --- Political economy --- Social sciences --- Economic man --- AA / International- internationaal --- 305.970 --- 305.6 --- Algemeenheden: Autoregression and moving average representation. ARIMA. ARMAX. Lagrange multiplier. Wald. Function (mis) specification. Autocorrelation. Homoscedasticity. Heteroscedasticity. ARCH. GARCH. Integration and co-integration. Unit roots. --- Risicotheorie, speltheorie. Risicokapitaal. Beslissingsmodellen. --- Algemeenheden: Autoregression and moving average representation. ARIMA. ARMAX. Lagrange multiplier. Wald. Function (mis) specification. Autocorrelation. Homoscedasticity. Heteroscedasticity. ARCH. GARCH. Integration and co-integration. Unit roots --- Risicotheorie, speltheorie. Risicokapitaal. Beslissingsmodellen --- Economia --- Matemàtica financera

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This second edition presents the advances made in finance market analysis since 2005. The book provides a careful introduction to stochastic methods along with approximate ensembles for a single, historic time series. The new edition explains the history leading up to the biggest economic disaster of the 21st century. Empirical evidence for finance market instability under deregulation is given, together with a history of the explosion of the US Dollar worldwide. A model shows how bounds set by a central bank stabilized FX in the gold standard era, illustrating the effect of regulations. The book presents economic and finance theory thoroughly and critically, including rational expectations, cointegration and arch/garch methods, and replaces several of those misconceptions by empirically based ideas. This book will be of interest to finance theorists, traders, economists, physicists and engineers, and leads the reader to the frontier of research in time series analysis.

Statistical physics --- statistieken --- Finance --- Business mathematics. --- Markets --- Statistical physics. --- Mathematical models. --- Statistical methods. --- AA / International- internationaal --- 305.91 --- 305.970 --- 333.605 --- 331.062 --- -Finance --- -Business mathematics --- -Statistical physics --- 332.0151 --- Physics --- Mathematical statistics --- Public markets --- Commerce --- Fairs --- Market towns --- Arithmetic, Commercial --- Business --- Business arithmetic --- Business math --- Commercial arithmetic --- Mathematics --- Funding --- Funds --- Economics --- Currency question --- Econometrie van de financiële activa. Portfolio allocation en management. CAPM. Bubbles. --- Algemeenheden: Autoregression and moving average representation. ARIMA. ARMAX. Lagrange multiplier. Wald. Function (mis) specification. Autocorrelation. Homoscedasticity. Heteroscedasticity. ARCH. GARCH. Integration and co-integration. Unit roots. --- Nieuwe financiële instrumenten. --- Anticyclisch beleid. Rational expectations. --- Mathematical models --- Statistical methods --- Business mathematics --- Econometrie van de financiële activa. Portfolio allocation en management. CAPM. Bubbles --- Algemeenheden: Autoregression and moving average representation. ARIMA. ARMAX. Lagrange multiplier. Wald. Function (mis) specification. Autocorrelation. Homoscedasticity. Heteroscedasticity. ARCH. GARCH. Integration and co-integration. Unit roots --- Anticyclisch beleid. Rational expectations --- Nieuwe financiële instrumenten --- Marché financier --- General and Others --- Marché financier

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

A lot of economic problems can be formulated as constrained optimizations and equilibration of their solutions. Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories. The series is designed to bring together those mathematicians who are seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking effective mathematical tools for their research. The editorial board of this series comprises the following prominent economists and mathematicians: Managing Editors: S. Kusuoka (Univ. Tokyo), T. Maruyama (Keio Univ.). Editors: R. Anderson (U.C. Berkeley), C. Castaing (Univ. Montpellier), F.H. Clarke (Univ. Lyon I), G. Debreu (U.C. Berkeley), E. Dierker (Univ. Vienna), D. Duffie (Stanford Univ.), L.C. Evans (U.C. Berkeley), T. Fujimoto (Okayama Univ.), J.-M. Grandmont (CREST-CNRS), N. Hirano (Yokohama National Univ.), L. Hurwicz (Univ. of Minnesota), T. Ichiishi (Ohio State Univ.), A. Ioffe (Israel Institute of Technology), S. Iwamoto (Kyushu Univ.), K. Kamiya (Univ. Tokyo), K. Kawamata (Keio Univ.), N. Kikuchi (Keio Univ.), H. Matano (Univ. Tokyo), K. Nishimura (Kyoto Univ.), M.K. Richter (Univ. Minnesota), Y. Takahashi (Kyoto Univ.), M. Valadier (Univ. Montpellier II), A. Yamaguti (Kyoto Univ./Ryukoku Univ.), M. Yano (Keio Univ.).

Economics, Mathematical. --- Economics --- Methodology. --- Mathematical economics --- Econometrics --- Mathematics --- Methodology --- Economic theory. --- Mathematics. --- Finance. --- Economic Theory/Quantitative Economics/Mathematical Methods. --- Applications of Mathematics. --- Quantitative Finance. --- Funding --- Funds --- Currency question --- Math --- Science --- Economic theory --- Political economy --- Social sciences --- Economic man --- AA / International- internationaal --- 305.970 --- 305.6 --- Algemeenheden: Autoregression and moving average representation. ARIMA. ARMAX. Lagrange multiplier. Wald. Function (mis) specification. Autocorrelation. Homoscedasticity. Heteroscedasticity. ARCH. GARCH. Integration and co-integration. Unit roots. --- Risicotheorie, speltheorie. Risicokapitaal. Beslissingsmodellen. --- Applied mathematics. --- Engineering mathematics. --- Economics, Mathematical . --- Engineering --- Engineering analysis --- Mathematical analysis --- Algemeenheden: Autoregression and moving average representation. ARIMA. ARMAX. Lagrange multiplier. Wald. Function (mis) specification. Autocorrelation. Homoscedasticity. Heteroscedasticity. ARCH. GARCH. Integration and co-integration. Unit roots --- Risicotheorie, speltheorie. Risicokapitaal. Beslissingsmodellen --- Economia --- Matemàtica financera