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Arbitrage Theory in Continuous Time Book

Arbitrage Theory in Continuous Time
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  • Arbitrage Theory in Continuous Time
  • Written by author Tomas Bjork
  • Published by Oxford University Press, USA, May 2004
  • Presented as a textbook for graduate and advanced undergraduates in finance, economics, mathematics, and statistics; this work presents arbitrage theory and its applications to pricing problems for financial derivatives. Focusing on applications and concr
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Book Categories

Authors

1Introduction1
2The Binomial Model5
3A More General One Period Model26
4Stochastic Integrals36
5Differential Equations62
6Portfolio Dynamics80
7Arbitrage Pricing88
8Completeness and Hedging111
9Parity Relations and Delta Hedging121
10The Martingale Approach to Arbitrage Theory133
11The Mathematics of the Martingale Approach154
12Black-Scholes from a Martingale Point of View169
13Multidimensional Models: Classical Approach175
14Multidimensional Models: Martingale Approach192
15Incomplete Markets205
16Dividends225
17Currency Derivatives239
18Barrier Options254
19Stochastic Optimal Control271
20Bonds and Interest Rates302
21Short Rate Models316
22Martingale Models for the Short Rate326
23Forward Rate Models340
24Change of Numeraire348
25LIBOR and Swap Market Models368
26Forwards and Futures389
AMeasure and Integration395
BProbability Theory422
CMartingales and Stopping Times443
References453
Index461


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