The second edition of this popular introduction to the classical underpinnings of the mathematics behind finance continues to combine sound mathematical principles with economic applications. Concentrating on the probabilistic theory of continuous arbitrage pricing of financial derivatives, including stochastic optimal control theory and Merton's fund separation theory, the book is designed for graduate students and combines necessary mathematical background with a solid economic focus. It includes a solved example for every new technique presented, contains numerous exercises, and suggests further reading in each chapter. In this substantially extended new edition Tomas Bjork has added completely new chapters on measure theory and probability theory, including the Radon-Nikodym Theorem, Girsanov transformations, and stochastic integral martingale representations. There is also an extensive new chapter on the abstract martingale approach to arbitrage theory, including a guided tour through the Delbaen-Schachermayer proof of the first fundamental theorem, as well as a new chapter on the LIBOR and swap market models. Providing two full treatments of arbitrage theory - the classical delta hedging approach and the modern martingale approach - the book is written in such a way that these approaches can be studied independently of each other, thus providing the less mathematically oriented reader with a self contained introduction to arbitrage theory, while at the same time allowing the specialist to see the full theory in action. This is the textbook of choice for graduate students and advanced undergraduates studying finance and an invaluable introduction to mathematical finance for mathematicians and professionals in financial markets.
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Descrizione libro Oxford University Press. Hardcover. Condizione libro: New. 0198775180 New Condition. Codice libro della libreria NEW4.0082218
Descrizione libro Oxford University Press, 1999. Hardcover. Condizione libro: New. Codice libro della libreria P110198775180
Descrizione libro Oxford University Press, USA, 1999. Hardcover. Condizione libro: New. First Edition. Codice libro della libreria DADAX0198775180
Descrizione libro Oxford University Press, 1999. Condizione libro: New. Brand New, Unread Copy in Perfect Condition. A+ Customer Service! Summary: 1. Introduction 2. The Binomial Model 3. Stochastic Integrals 4. Differential Equations 5. Portfolio Dynamics 6. Arbitrage Pricing 7. Complete Markets 8. Properties of the Pricing Formulae 9. Several Underlying Assets 10. Incomplete Markets 11. Barrier Options 12. Dividends 13. Currency Derivatives 14. Stochastic Optimal Control 15. The Term Structure of Interest Rates 16. Short Rate Models 17. Forward Rate Models 18. Change of Numeraire. Codice libro della libreria ABE_book_new_0198775180
Descrizione libro Oxford University Press, 1999. Hardcover. Condizione libro: New. book. Codice libro della libreria 0198775180