Pascucci, Andrea and Foschi, Paolo
(2006):
*Path dependent volatility.*

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## Abstract

We propose a general class of non-constant volatility models with dependence on the past. The framework includes path-dependent volatility models such as that by Hobson&Rogers and also path dependent contracts such as options of Asian style. A key feature of the model is that market completeness is preserved. Some empirical analysis, based on the comparison with the performance of standard local volatility and Heston models, shows the effectiveness of the path dependent volatility.

Item Type: | MPRA Paper |
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Institution: | Università di Bologna |

Original Title: | Path dependent volatility |

Language: | English |

Keywords: | option pricing; stochastic volatility; path dependent option |

Subjects: | G - Financial Economics > G1 - General Financial Markets C - Mathematical and Quantitative Methods > C0 - General > C02 - Mathematical Methods |

Item ID: | 973 |

Depositing User: | Andrea Pascucci |

Date Deposited: | 30 Nov 2006 |

Last Modified: | 29 Sep 2019 04:45 |

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URI: | https://mpra.ub.uni-muenchen.de/id/eprint/973 |