A Data-Reconstructed Fractional Volatility Model

20 Pages Posted: 13 Dec 2010

See all articles by Rui Vilela Mendes

Rui Vilela Mendes

CMAF, Complexo Interdisciplinar UL and IPFN, Instituto Superior Técnico

Javier Ordóñez Monfort

Jaume I University - Department of Economics

Date Written: 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.

Keywords: Fractional noise, induced volatility, statistics of returns, option pricing

JEL Classification: C51, G14, G12

Suggested Citation

Mendes, Rui Vilela and Ordóñez Monfort, Javier, A Data-Reconstructed Fractional Volatility Model (2008). Economics Discussion Paper No. 2008-22, Available at SSRN: https://ssrn.com/abstract=1723640 or http://dx.doi.org/10.2139/ssrn.1723640

Rui Vilela Mendes (Contact Author)

CMAF, Complexo Interdisciplinar UL and IPFN, Instituto Superior Técnico ( email )

Av. Rovisco Pais
Lisboa, 1049-001
Portugal

Javier Ordóñez Monfort

Jaume I University - Department of Economics ( email )

Campus del Riu Sec.
E-12071 Castellon
Spain

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