03429nam 22006255 450 991036495750332120230810165308.03-030-26106-910.1007/978-3-030-26106-1(CKB)4100000010011845(MiAaPQ)EBC5989073(DE-He213)978-3-030-26106-1(PPN)270589813(EXLCZ)99410000001001184520191203d2019 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierMathematical Finance /by Ernst Eberlein, Jan Kallsen1st ed. 2019.Cham :Springer International Publishing :Imprint: Springer,2019.1 online resource (774 pages)Springer Finance,2195-06873-030-26105-0 Part I -- Stochastic Calculus -- Overview -- Discrete Stochastic Calculus -- Lévy Processes -- Stochastic Integration -- Semimartingale Characteristics -- Markov Processes -- Affine and Polynomial Processes -- Optimal Control -- Mathematical Finance -- Overview and Notation -- Equity models -- Markets, Strategies, Arbitrage -- Optimal Investment -- Arbitrage-Based Valuation and Hedging of Derivatives -- Mean-Variance Hedging -- Utility-Based Valuation and Hedging of Derivatives -- Interest Rate Models.Taking continuous-time stochastic processes allowing for jumps as its starting and focal point, this book provides an accessible introduction to the stochastic calculus and control of semimartingales and explains the basic concepts of Mathematical Finance such as arbitrage theory, hedging, valuation principles, portfolio choice, and term structure modelling. It bridges thegap between introductory texts and the advanced literature in the field. Most textbooks on the subject are limited to diffusion-type models which cannot easily account for sudden price movements. Such abrupt changes, however, can often be observed in real markets. At the same time, purely discontinuous processes lead to a much wider variety of flexible and tractable models. This explains why processes with jumps have become an established tool in the statistics and mathematics of finance. Graduate students, researchers as well as practitioners will benefit from this monograph. .Springer Finance,2195-0687Social sciencesMathematicsProbabilitiesFinancial engineeringFinancial risk managementMathematics in Business, Economics and FinanceProbability TheoryFinancial EngineeringRisk ManagementSocial sciencesMathematics.Probabilities.Financial engineering.Financial risk management.Mathematics in Business, Economics and Finance.Probability Theory.Financial Engineering.Risk Management.330.0151Eberlein Ernstauthttp://id.loc.gov/vocabulary/relators/aut535115Kallsen Janauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910364957503321Mathematical Finance2517209UNINA