Giuseppe Campolieti, Roman N. Makarov

Financial Mathematics (eBook, PDF)

A Comprehensive Treatment

• Format: PDF

Produktbeschreibung

Tested and refined through years of the authors' teaching experiences, this text provides a unified, self-contained account of the main theory and application of methods behind modern-day financial mathematics. 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. Unlike similar texts in the field, this one presents multiple problem-solving approaches, linking related comprehensive techniques for pricing different types of financial derivatives.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 829
• Erscheinungstermin: 24. Oktober 2018
• Englisch
• ISBN-13: 9781315362854
• Artikelnr.: 54553658

Autorenporträt

Roman N. Makarov, Giuseppe Campolieti

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.