04420nam a22005535i 4500 978-1-4939-3783-7 DE-He213 20210706075414.0 cr nn 008mamaa 160617s2016 xxu| s |||| 0|eng d 9781493937837 978-1-4939-3783-7 10.1007/978-1-4939-3783-7 doi HB135-147 KF bicssc MAT003000 bisacsh KF thema 519 23 Petters, Arlie O. author. aut http://id.loc.gov/vocabulary/relators/aut An Introduction to Mathematical Finance with Applications [electronic resource] : Understanding and Building Financial Intuition / by Arlie O. Petters, Xiaoying Dong. 1st ed. 2016. New York, NY : Springer New York : Imprint: Springer, 2016. XVII, 483 p. 52 illus., 12 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Springer Undergraduate Texts in Mathematics and Technology, 1867-5506 Preface -- 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. . This 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. Economics, Mathematical . Mathematical models. Probabilities. Actuarial science. Quantitative Finance. https://scigraph.springernature.com/ontologies/product-market-codes/M13062 Mathematical Modeling and Industrial Mathematics. https://scigraph.springernature.com/ontologies/product-market-codes/M14068 Probability Theory and Stochastic Processes. https://scigraph.springernature.com/ontologies/product-market-codes/M27004 Actuarial Sciences. https://scigraph.springernature.com/ontologies/product-market-codes/M13080 Dong, Xiaoying. author. aut http://id.loc.gov/vocabulary/relators/aut SpringerLink (Online service) Springer Nature eBook Printed edition: 9781493937813 Printed edition: 9781493937820 Printed edition: 9781493981373 Springer Undergraduate Texts in Mathematics and Technology, 1867-5506 https://doi.org/10.1007/978-1-4939-3783-7 ZDB-2-SMA ZDB-2-SXMS Mathematics and Statistics (SpringerNature-11649) Mathematics and Statistics (R0) (SpringerNature-43713)