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Mathematics of financean intuitive i...

Saari, Donald G.

Mathematics of financean intuitive introduction /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Mathematics of financeby Donald G. Saari.
其他題名:	an intuitive introduction /
作者:	Saari, Donald G.
出版者:	Cham :Springer International Publishing :2019.
面頁冊數:	xvii, 144 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Business mathematics.
電子資源:	https://doi.org/10.1007/978-3-030-25443-8
ISBN:	9783030254438$q(electronic bk.)

Mathematics of financean intuitive introduction /
Saari, Donald G.

Mathematics of financean intuitive introduction /[electronic resource] :by Donald G. Saari. - Cham :Springer International Publishing :2019. - xvii, 144 p. :ill., digital ;24 cm. - Undergraduate texts in mathematics,0172-6056. - Undergraduate texts in mathematics..

1. Preliminaries via Gambles -- 2. Options -- 3. Modeling -- 4. Some Probability -- 5. The Black-Scholes Equation -- 6. Solutions of Black-Scholes -- 7. Partial information: the Greeks -- 8. Sketching and the American Options -- 9. Embellishments.

This textbook invites the reader to develop a holistic grounding in mathematical finance, where concepts and intuition play as important a role as powerful mathematical tools. Financial interactions are characterized by a vast amount of data and uncertainty; navigating the inherent dangers and hidden opportunities requires a keen understanding of what techniques to apply and when. By exploring the conceptual foundations of options pricing, the author equips readers to choose their tools with a critical eye and adapt to emerging challenges. Introducing the basics of gambles through realistic scenarios, the text goes on to build the core financial techniques of Puts, Calls, hedging, and arbitrage. Chapters on modeling and probability lead into the centerpiece: the Black-Scholes equation. Omitting the mechanics of solving Black-Scholes itself, the presentation instead focuses on an in-depth analysis of its derivation and solutions. Advanced topics that follow include the Greeks, American options, and embellishments. Throughout, the author presents topics in an engaging conversational style. "Intuition breaks" frequently prompt students to set aside mathematical details and think critically about the relevance of tools in context. Mathematics of Finance is ideal for undergraduates from a variety of backgrounds, including mathematics, economics, statistics, data science, and computer science. Students should have experience with the standard calculus sequence, as well as a familiarity with differential equations and probability. No financial expertise is assumed of student or instructor; in fact, the text's deep connection to mathematical ideas makes it suitable for a math capstone course. A complete set of the author's lecture videos is available on YouTube, providing a comprehensive supplementary resource for a course or independent study.

ISBN: 9783030254438$q(electronic bk.)

Standard No.: 10.1007/978-3-030-25443-8doiSubjects--Topical Terms:

191036
Business mathematics.

LC Class. No.: HF5691 / .S33 2019

Dewey Class. No.: 650.0151

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520 $a This textbook invites the reader to develop a holistic grounding in mathematical finance, where concepts and intuition play as important a role as powerful mathematical tools. Financial interactions are characterized by a vast amount of data and uncertainty; navigating the inherent dangers and hidden opportunities requires a keen understanding of what techniques to apply and when. By exploring the conceptual foundations of options pricing, the author equips readers to choose their tools with a critical eye and adapt to emerging challenges. Introducing the basics of gambles through realistic scenarios, the text goes on to build the core financial techniques of Puts, Calls, hedging, and arbitrage. Chapters on modeling and probability lead into the centerpiece: the Black-Scholes equation. Omitting the mechanics of solving Black-Scholes itself, the presentation instead focuses on an in-depth analysis of its derivation and solutions. Advanced topics that follow include the Greeks, American options, and embellishments. Throughout, the author presents topics in an engaging conversational style. "Intuition breaks" frequently prompt students to set aside mathematical details and think critically about the relevance of tools in context. Mathematics of Finance is ideal for undergraduates from a variety of backgrounds, including mathematics, economics, statistics, data science, and computer science. Students should have experience with the standard calculus sequence, as well as a familiarity with differential equations and probability. No financial expertise is assumed of student or instructor; in fact, the text's deep connection to mathematical ideas makes it suitable for a math capstone course. A complete set of the author's lecture videos is available on YouTube, providing a comprehensive supplementary resource for a course or independent study.
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