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Book Categories |
1 | Introduction | 1 |
2 | The Binomial Model | 5 |
3 | A More General One Period Model | 26 |
4 | Stochastic Integrals | 36 |
5 | Differential Equations | 62 |
6 | Portfolio Dynamics | 80 |
7 | Arbitrage Pricing | 88 |
8 | Completeness and Hedging | 111 |
9 | Parity Relations and Delta Hedging | 121 |
10 | The Martingale Approach to Arbitrage Theory | 133 |
11 | The Mathematics of the Martingale Approach | 154 |
12 | Black-Scholes from a Martingale Point of View | 169 |
13 | Multidimensional Models: Classical Approach | 175 |
14 | Multidimensional Models: Martingale Approach | 192 |
15 | Incomplete Markets | 205 |
16 | Dividends | 225 |
17 | Currency Derivatives | 239 |
18 | Barrier Options | 254 |
19 | Stochastic Optimal Control | 271 |
20 | Bonds and Interest Rates | 302 |
21 | Short Rate Models | 316 |
22 | Martingale Models for the Short Rate | 326 |
23 | Forward Rate Models | 340 |
24 | Change of Numeraire | 348 |
25 | LIBOR and Swap Market Models | 368 |
26 | Forwards and Futures | 389 |
A | Measure and Integration | 395 |
B | Probability Theory | 422 |
C | Martingales and Stopping Times | 443 |
References | 453 | |
Index | 461 |
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