## An Introduction to the Mathematics of Financial DerivativesAn Introduction to the Mathematics of Financial Derivatives is a popular, intuitive text that eases the transition between basic summaries of financial engineering to more advanced treatments using stochastic calculus. Requiring only a basic knowledge of calculus and probability, it takes readers on a tour of advanced financial engineering. This classic title has been revised by Ali Hirsa, who accentuates its well-known strengths while introducing new subjects, updating others, and bringing new continuity to the whole. Popular with readers because it emphasizes intuition and common sense, An Introduction to the Mathematics of Financial Derivatives remains the only "introductory" text that can appeal to people outside the mathematics and physics communities as it explains the hows and whys of practical finance problems. Facilitates readers' understanding of underlying mathematical and theoretical models by presenting a mixture of theory and applications with hands-on learning. Presented intuitively, breaking up complex mathematics concepts into easily understood notions. Encourages use of discrete chapters as complementary readings on different topics, offering flexibility in learning and teaching. |

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Financial Derivatives A Brief Introduction | 1 |

A Primer on the Arbitrage Theorum | 13 |

Calculus in Deterministic and Stochastic Environments | 45 |

Pricing Derivatives Models and Notation | 77 |

Tools in Probability Theory | 91 |

Martingales and Martingale Representations | 119 |

Differentation in Stochastic Environments | 156 |

The Weiner Process and Rare Events in Financial Markets | 173 |

The BlackScholes PDE | 296 |

Pricing Derivative Products | 312 |

Equivalent Martingale Measures | 345 |

New Results and Tools for InterestSensitive Securities | 368 |

Arbitrage Theorem in a New Setting Normalization and Random Interest Rates | 379 |

Modeling Term Structure and Related Concepts | 407 |

Classical and HJM Approaches to Fixed Income | 426 |

Classical PDE Analysis for Interest Rate Derivatives | 451 |

Integration in Stochastic Environments | 204 |

Itos Lemma | 230 |

The Dynamics of Derivative Prices | 252 |

Pricing Derivative Products | 275 |

Relating Conditional Expectations to PDEs | 467 |

Stopping Times and AmericanType Securities | 489 |

509 | |

513 | |

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