LEADER 03464nam 22006375 450 001 9910364957503321 005 20250609110704.0 010 $a3-030-26106-9 024 7 $a10.1007/978-3-030-26106-1 035 $a(CKB)4100000010011845 035 $a(MiAaPQ)EBC5989073 035 $a(DE-He213)978-3-030-26106-1 035 $a(PPN)270589813 035 $a(MiAaPQ)EBC5989001 035 $a(EXLCZ)994100000010011845 100 $a20191203d2019 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMathematical Finance /$fby Ernst Eberlein, Jan Kallsen 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (774 pages) 225 1 $aSpringer Finance,$x2195-0687 311 08$a3-030-26105-0 327 $aPart 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. 330 $aTaking continuous-time stochastic processes allowing for jumps as its starting and focal point, this book provides an accessible introduction to the stochastic calculus and control of semimartingales and explains the basic concepts of Mathematical Finance such as arbitrage theory, hedging, valuation principles, portfolio choice, and term structure modelling. It bridges thegap between introductory texts and the advanced literature in the field. Most textbooks on the subject are limited to diffusion-type models which cannot easily account for sudden price movements. Such abrupt changes, however, can often be observed in real markets. At the same time, purely discontinuous processes lead to a much wider variety of flexible and tractable models. This explains why processes with jumps have become an established tool in the statistics and mathematics of finance. Graduate students, researchers as well as practitioners will benefit from this monograph. . 410 0$aSpringer Finance,$x2195-0687 606 $aSocial sciences$xMathematics 606 $aProbabilities 606 $aFinancial engineering 606 $aFinancial risk management 606 $aMathematics in Business, Economics and Finance 606 $aProbability Theory 606 $aFinancial Engineering 606 $aRisk Management 615 0$aSocial sciences$xMathematics. 615 0$aProbabilities. 615 0$aFinancial engineering. 615 0$aFinancial risk management. 615 14$aMathematics in Business, Economics and Finance. 615 24$aProbability Theory. 615 24$aFinancial Engineering. 615 24$aRisk Management. 676 $a330.0151 700 $aEberlein$b Ernst$4aut$4http://id.loc.gov/vocabulary/relators/aut$0535115 702 $aKallsen$b Jan$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910364957503321 996 $aMathematical Finance$92517209 997 $aUNINA