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Discussion Papers

2008-22
Rui Vilela Mendes, Maria J. Oliveira
A Data-Reconstructed Fractional Volatility Model
May 13, 2008

Abstract

Based on criteria of mathematical simplicity and consistency with empirical market data, a stochastic volatility model is constructed, the volatility process being driven by fractional noise. Price return statistics and asymptotic behavior are derived from the model and compared with data. Deviations from Black-Scholes and a new option pricing formula are also obtained.

JEL Classification

C51 G12 G14

Citation

Rui Vilela Mendes, Maria J. Oliveira (2008). A Data-Reconstructed Fractional Volatility Model. Economics Discussion Papers, No 2008-22. http://www.economics-ejournal.org/economics/discussionpapers/2008-22

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