financial market that features volatility uncertainty. To have a mathematical consistent framework we use the notion of G … this more complex situation and consider stock price dynamics which exclude arbitrage opportunities. Due to volatility … claims and deduce explicit results in a Markovian setting. -- Pricing of contingent claims ; incomplete markets ; volatility …

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 … obtained. -- Fractional noise ; induced volatility ; statistics of returns ; option pricing …