An Introduction to Mathematical Finance with Applications, Softcover reprint of the original 1st ed. 2016 Understanding and Building Financial Intuition Springer Undergraduate Texts in Mathematics and Technology Series
Auteurs : Petters Arlie O., Dong Xiaoying
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.
Provides a good balance between mathematical derivation and accessibility to the reader and instructor
Self-contained with respect to required finance background, providing financial minutia along the way as needed
Useful for students preparing for high level study in mathematical finance or a career in actuarial science
Includes supplementary material: sn.pub/extras
Request lecturer material: sn.pub/lecturer-material
Date de parution : 06-2016
Ouvrage de 483 p.
17.8x25.4 cm
Date de parution : 05-2018
Ouvrage de 483 p.
17.8x25.4 cm
Thèmes d’An Introduction to Mathematical Finance with Applications :
Mots-clés :
textbook finance undergrad; Markowitz portfolio theory; Black-Scholes-Merton model; BSM model; Brownian motion model; capital market theory; security price behavior; modeling derivatives; bid-ask spreads; market liquidity; APR; APY; annuity theory; application annuity; Sharpe ratio; Sortino ratio; stochastic calculus; forwards; futures; European option pricing