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The fractional volatility model: No-arbitrage, leverage and completeness
Fractional noise Arbitrage Incomplete market
2012/6/4
Based on a criterion of mathematical simplicity and consistency with empirical market data, a stochastic volatility model has been obtained with the volatility process driven by fractional noise. Depe...
A Fast Mean-Reverting Correction to Heston's Stochastic Volatility Model
Stochastic volatility Heston model fast mean-reversion
2010/10/21
We propose a multi-scale stochastic volatility model in which a fast mean-reverting factor of volatility is built on top of the Heston stochastic volatility model. A singular pertubative expansion is...
The fractional volatility model: No-arbitrage, leverage and risk measures
Fractional noise Arbitrage Incomplete market Risk measures
2010/10/21
Based on a criterium of mathematical simplicity and consistency with empirical market data, a stochastic volatility model has been obtained with the volatility process driven by fractional noise. Dep...
Bayesian Inference of Stochastic Volatility Model by Hybrid Monte Carlo
Hybrid Monte Carlo Algorithm Stochastic Volatility Model
2010/10/18
The hybrid Monte Carlo (HMC) algorithm is applied for the Bayesian inference of the stochastic volatility (SV) model. We use the HMC algorithm for the Markov chain Monte Carlo updates of volatility va...