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

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Abstract
We propose a general class of nonconstant volatility models with dependence on the past. The framework includes pathdependent 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 

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:  21. Feb 2013 10:32 
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URI:  http://mpra.ub.unimuenchen.de/id/eprint/973 