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Undergraduate Introduction to Financial Mathematics, an (Third Edition)
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This textbook provides an introduction to financial mathematics and financial engineering for undergraduate students who have completed a three- or four-semester sequence of calculus courses. It introduces the theory of interest, discrete and continuous random variables and probability, stochastic processes, linear programming, the Fundamental Theorem of Finance, option pricing, hedging, and portfolio optimization. This third edition expands on the second by including a new chapter on the extensions of the Black-Scholes model of option pricing and a greater number of exercises at the end of each chapter. More background material has been added to the other chapters, allowing the textbook to better stand alone as an introduction to financial mathematics. The reader progresses from a solid grounding in multivariable calculus through a derivation of the Black-Scholes equation, its solution, properties, and applications. The text attempts to be as self-contained as possible without relying on advanced mathematical and statistical topics. The material presented in this book will adequately prepare the reader for graduate-level study in mathematical finance.
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Product details
Hardcover: 464 pages
Publisher: World Scientific Pub Co Inc; 3 edition (September 7, 2012)
Language: English
ISBN-10: 9814407445
ISBN-13: 978-9814407441
Product Dimensions:
6.1 x 1.2 x 9.1 inches
Shipping Weight: 1.8 pounds (View shipping rates and policies)
Average Customer Review:
5.0 out of 5 stars
2 customer reviews
Amazon Best Sellers Rank:
#513,485 in Books (See Top 100 in Books)
The title is very appropriate for the content of the book. The author states that the prerequisites are the three semesters of Calculus but in my opinion those are insufficient (unless those courses were taught in a more rigorous way than the mainstream Stewart calculus). I would also add as prerequisites the following: Linear Algebra, Differential Equations (at least some basic PDE), and some intro to proof course (this might be more optional). The linear algebra is indispensable in the Arbitrage Theorem chapter and the Diffy Q's for deriving the Black-Scholes. The intro to proof course would be helpful in following along all the proofs AND missing in the details. If you can't take such course then the "Book of Proof" by Richard H. Hammack 3rd edition would suffice.All the solutions to the exercises are in the back of the book BUT most of them have missing details or steps. So thinking you can just look at the back without doing it yourself isn't going to work. Hence, the emphasis on the prerequisites. I do wish there were more exercises or a separate book that consisted of exercises only (maybe with hints and informal solutions).I don't recall ever seeing measure theory which shows that it's really suitable for undergraduates; specifically finance or math. I highly recommend this for math teachers, the curious, and/or as a gateway for more advanced financial mathematics.
Good read
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