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An introduction to economic applications of the theory of continuous-time finance that strikes a balance between mathematical rigor and economic interpretation of financial market regularities. This book introduces the economic applications of the theory of continuous-time finance, with the goal of enabling the construction of realistic models, particularly those involving incomplete markets. Indeed, most recent applications of continuous-time finance aim to capture the imperfections and dysfunctions of financial markets-characteristics that became especially apparent during the market turmoil that started in 2008. The book begins by using discrete time to illustrate the basic mechanisms and introduce such notions as completeness, redundant pricing, and no arbitrage. It develops the continuous-time analog of those mechanisms and introduces the powerful tools of stochastic calculus. Going beyond other textbooks, the book then focuses on the study of markets in which some form of incompleteness, volatility, heterogeneity, friction, or behavioral subtlety arises. After presenting solutions methods for control problems and related partial differential equations, the text examines portfolio optimization and equilibrium in incomplete markets, interest rate and fixed-income modeling, and stochastic volatility. Finally, it presents models where investors form different beliefs or suffer frictions, form habits, or have recursive utilities, studying the effects not only on optimal portfolio choices but also on equilibrium, or the price of primitive securities. The book strikes a balance between mathematical rigor and the need for economic interpretation of financial market regularities, although with an emphasis on the latter.

Finances --- Finance --- Modèles mathématiques --- Modèles économétriques --- Mathematical models --- Econometric models --- Money market. Capital market --- Modèles économétriques. --- Modèles mathématiques. --- Finance - Mathematical models --- Finance - Econometric models --- Modèles mathématiques. --- Modèles économétriques.

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Economics --- Econometric models --- Economic policy --- Modèles économétriques --- Politique économique --- Economie politique --- Econometric models. --- Economic policy. --- Economics. --- Modèles économétriques --- Politique économique

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Econometrics --- Consumption (Economics) --- Mathematical models --- Économétrie --- Modèles économétriques --- Économétrie --- Modèles économétriques --- Consumption (Economics) - Mathematical models --- Econometrie appliquee

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Private finance --- International finance --- Quantitative methods (economics) --- Finance --- Econometrics --- Econometric models --- Econometrics. --- Finances --- Mathématiques économiques --- Econometric models. --- Modèles économétriques --- 330.115 --- MA 2015-2016 --- Kwantitatieve methoden (economie) --- OO Onderzoekmethodologie --- SP 2017-2018 --- OO Onderzoekmethodologie (*) --- MA 2017-2018 --- OO Onderzoeksmethodologie FM (*) --- Modèles économétriques. --- Mathématiques économiques. --- Finance - Econometric models

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Methodology of economics --- Econometric models --- Economics --- Economics, Mathematical --- Financial engineering --- Modèles économétriques --- Economie politique --- Mathématiques économiques --- Ingénierie financière --- Mathematical models --- Modèles mathématiques --- Modèles économétriques --- Mathématiques économiques --- Ingénierie financière --- Modèles mathématiques