Financial Mathematics

NOTE EDITORE

Versatile for Several Interrelated Courses at the Undergraduate and Graduate Levels Financial Mathematics: A Comprehensive Treatment provides a unified, self-contained account of the main theory and application of methods behind modern-day financial mathematics. Tested and refined through years of the authors’ teaching experiences, the book encompasses a breadth of topics, from introductory to more advanced ones. Accessible to undergraduate students in mathematics, finance, actuarial science, economics, and related quantitative areas, much of the text covers essential material for core curriculum courses on financial mathematics. Some of the more advanced topics, such as formal derivative pricing theory, stochastic calculus, Monte Carlo simulation, and numerical methods, can be used in courses at the graduate level. Researchers and practitioners in quantitative finance will also benefit from the combination of analytical and numerical methods for solving various derivative pricing problems. 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. The book provides complete coverage of both discrete- and continuous-time financial models that form the cornerstones of financial derivative pricing theory. It also presents a self-contained introduction to stochastic calculus and martingale theory, which are key fundamental elements in quantitative finance.

SOMMARIO

INTRODUCTION TO PRICING AND MANAGEMENT OF FINANCIAL SECURITIES Mathematics of CompoundingPrimer on Pricing Risky SecuritiesPortfolio ManagementPrimer on Derivative Securities DISCRETE-TIME MODELINGSingle-Period Arrow-Debreu ModelsIntroduction to Discrete-Time Stochastic CalculusReplication and Pricing in the Binomial Tree ModelGeneral Multi-Asset Multi-Period Model CONTINUOUS-TIME MODELING Essentials of General Probability TheoryOne-Dimensional Brownian Motion and Related ProcessesIntroduction to Continuous-Time Stochastic CalculusRisk-Neutral Pricing in the (B, S) Economy: One Underlying StockRisk-Neutral Pricing in a Multi-Asset EconomyAmerican OptionsAlternative Models of Asset Price DynamicsInterest-Rate Modeling and Derivative Pricing COMPUTATIONAL TECHNIQUESIntroduction to Monte Carlo and Simulation MethodsNumerical Applications to Derivative Pricing Appendix: Some Useful Integral Identities and Symmetry Properties of Normal Random Variables Glossary of Symbols and Abbreviations References Index

AUTORE

Roman N. Makarov, Giuseppe Campolieti

ALTRE INFORMAZIONI

• Condizione: Nuovo
• ISBN: 9781439892428
• Collana: Chapman and Hall/CRC Financial Mathematics Series
• Dimensioni: 10 x 7 in Ø 3.60 lb
• Formato: Copertina rigida
• Illustration Notes: 91 b/w images, 3 tables and 8/5/15- All new text file sent to printer
• Pagine Arabe: 829