LEADER 04653nam 22006735 450 001 9910254095903321 005 20200630003904.0 010 $a1-4939-3783-9 024 7 $a10.1007/978-1-4939-3783-7 035 $a(CKB)3710000000734690 035 $a(DE-He213)978-1-4939-3783-7 035 $a(MiAaPQ)EBC6314584 035 $a(MiAaPQ)EBC5587999 035 $a(Au-PeEL)EBL5587999 035 $a(OCoLC)952086002 035 $a(PPN)194375846 035 $a(EXLCZ)993710000000734690 100 $a20160617d2016 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 13$aAn Introduction to Mathematical Finance with Applications $eUnderstanding and Building Financial Intuition /$fby Arlie O. Petters, Xiaoying Dong 205 $a1st ed. 2016. 210 1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d2016. 215 $a1 online resource (XVII, 483 p. 52 illus., 12 illus. in color.) 225 1 $aSpringer Undergraduate Texts in Mathematics and Technology,$x1867-5506 311 $a1-4939-3781-2 320 $aIncludes bibliographical references and index. 327 $aPreface -- 1. Preliminaries and Financial Markets -- 2. The Time Value of Money -- 3. Markowitz Portfolio Theory -- 4. Capital Market Theory and Portfolio Risk Measures -- 5. Binomial Trees and Security Pricing Modeling -- 6. Stochastic Calculus and Geometric Brownian Motion Model -- 7. Derivatives: Forwards, Futures, Swaps and Options -- 8. The BSM Model and European Option Pricing -- Index. . 330 $aThis textbook aims to fill the gap between those that offer a theoretical treatment without many applications and those that present and apply formulas without appropriately deriving them. The balance achieved will give readers a fundamental understanding of key financial ideas and tools that form the basis for building realistic models, including those that may become proprietary. Numerous carefully chosen examples and exercises reinforce the student?s conceptual understanding and facility with applications. The exercises are divided into conceptual, application-based, and theoretical problems, which probe the material deeper. The book is aimed toward advanced undergraduates and first-year graduate students who are new to finance or want a more rigorous treatment of the mathematical models used within. While no background in finance is assumed, prerequisite math courses include multivariable calculus, probability, and linear algebra. The authors introduce additional mathematical tools as needed. The entire textbook is appropriate for a single year-long course on introductory mathematical finance. The self-contained design of the text allows for instructor flexibility in topics courses and those focusing on financial derivatives. Moreover, the text is useful for mathematicians, physicists, and engineers who want to learn finance via an approach that builds their financial intuition and is explicit about model building, as well as business school students who want a treatment of finance that is deeper but not overly theoretical. 410 0$aSpringer Undergraduate Texts in Mathematics and Technology,$x1867-5506 606 $aEconomics, Mathematical 606 $aMathematical models 606 $aProbabilities 606 $aActuarial science 606 $aQuantitative Finance$3https://scigraph.springernature.com/ontologies/product-market-codes/M13062 606 $aMathematical Modeling and Industrial Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M14068 606 $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004 606 $aActuarial Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13080 615 0$aEconomics, Mathematical. 615 0$aMathematical models. 615 0$aProbabilities. 615 0$aActuarial science. 615 14$aQuantitative Finance. 615 24$aMathematical Modeling and Industrial Mathematics. 615 24$aProbability Theory and Stochastic Processes. 615 24$aActuarial Sciences. 676 $a330.015195 700 $aPetters$b Arlie O$4aut$4http://id.loc.gov/vocabulary/relators/aut$065968 702 $aDong$b Xiaoying$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254095903321 996 $aAn Introduction to Mathematical Finance with Applications$92004339 997 $aUNINA