
This paper prepared for the Handbook of Statistics (Vol.14: Statistical Methods in Finance), surveys the subject of stochastic volatility. the following subjects are covered: volatility in financial markets (instantaneous volatility of asset returns, implied volatilities in option prices and related stylized facts), statistical modelling in discrete and continuous time and, finally, statistical inference (methods of moments, quasi-maximum likelihood, likelihood-based and bayesian methods and indirect inference).
[JEL:G10] Financial Economics - General Financial Markets - General, [JEL:G12] Financial Economics - General Financial Markets - Asset Pricing; Trading volume; Bond Interest Rates, [JEL:G11] Financial Economics - General Financial Markets - Portfolio Choice; Investment Decisions, [JEL:G10] Économie financière - Marchés financiers généraux - Généralités, [JEL:G12] Économie financière - Marchés financiers généraux - Prix des actifs, [JEL:G11] Économie financière - Marchés financiers généraux - Choix de portefeuille, [JEL:C00] Mathematical and Quantitative Methods - General - General, [JEL:C00] Mathématiques et méthodes quantitatives - Généralités, jel: jel:C00, jel: jel:G12, jel: jel:G10, jel: jel:G11
[JEL:G10] Financial Economics - General Financial Markets - General, [JEL:G12] Financial Economics - General Financial Markets - Asset Pricing; Trading volume; Bond Interest Rates, [JEL:G11] Financial Economics - General Financial Markets - Portfolio Choice; Investment Decisions, [JEL:G10] Économie financière - Marchés financiers généraux - Généralités, [JEL:G12] Économie financière - Marchés financiers généraux - Prix des actifs, [JEL:G11] Économie financière - Marchés financiers généraux - Choix de portefeuille, [JEL:C00] Mathematical and Quantitative Methods - General - General, [JEL:C00] Mathématiques et méthodes quantitatives - Généralités, jel: jel:C00, jel: jel:G12, jel: jel:G10, jel: jel:G11
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