Giuseppe Campolieti, Roman N. Makarov

Financial Mathematics (eBook, ePUB)

A Comprehensive Treatment in Continuous Time Volume II

• Format: ePub

Produktbeschreibung

The book has been tested and refined through years of classroom teaching experience. With an abundance of examples, problems, and fully worked out solutions, the text introduces the financial theory and relevant mathematical methods in a mathematically rigorous yet engaging way.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 510
• Erscheinungstermin: 21. Dezember 2022
• Englisch
• ISBN-13: 9780429889097
• Artikelnr.: 66653294

Autorenporträt

Giuseppe Campolieti is Professor of Mathematics at Wilfrid Laurier University in Waterloo, Canada. He has been Natural Sciences and Engineering Research Council postdoctoral research fellow and university research fellow at the University of Toronto. In 1998, he joined the Masters in Mathematical Finance as an instructor and later as an adjunct professor in financial mathematics until 2002. Dr. Campolieti also founded a financial software and consulting company in 1998. He joined Laurier in 2002 as Associate Professor of Mathematics and as SHARCNET Chair in Financial Mathematics.

Roman N. Makarov is Associate Professor and Chair of Mathematics at Wilfrid Laurier University. Prior to joining Laurier in 2003, he was an Assistant Professor of Mathematics at Siberian State University of Telecommunications and Informatics and a senior research fellow at the Laboratory of Monte Carlo Methods at the Institute of Computational Mathematics and Mathematical Geophysics in Novosibirsk, Russia.

Inhaltsangabe

List of Figures and Tables
Preface
I Introduction to Pricing and Management of Financial Securities
1 Mathematics of Compounding
2 Primer on Pricing Risky Securities
3 Portfolio Management
4 Primer on Derivative Securities
II Discrete-Time Modelling
5 Single-Period Arrow-Debreu Models
6 Introduction to Discrete-Time Stochastic Calculus
7 Replication and Pricing in the Binomial Tree Model
8 General Multi-Asset Multi-Period Model
Appendices
A Elementary Probability Theory
B Glossary of Symbols and Abbreviations
C Answers and Hints to Exercises
References
Index

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Part I: Stochastic Calculus with Brownian Motion. 1. One-Dimensional Brownian Motion and Related Processes. 2. Introduction to Continuous-Time Stochastic Calculus. Part II Continuous-Time Modelling. 3. Risk-Neutral Pricing in the (B; S) Economy: One Underlying Stock. 4. Risk-Neutral Pricing in a Multi-Asset Economy. 5. American Options. 6. Interest-Rate Modelling and Derivative Pricing. 7. Alternative Models of Asset Price Dynamics. A. Essentials of General Probability Theory. B. Some Useful Integral (Expectation) Identities and Symmetry Properties of Normal Random Variables. C. Answers and Hints to Exercises. D. Glossary of Symbols and Abbreviations. Greek Alphabet. References. Index.