No. 957

Title:

Inference methods for discretely observed continuous-time stochastic volatility models: A commented overview

Author(s):

Jimenez, J.C. (Institute of Cybernetics, Mathematics and Physics);
Biscay, R.(Havana University);
Ozaki, T.(Institute of Statistical Mathematics)

Key words:

Stochastic volatility models; diffusion processes; inference methods.

Abstract:

    In this paper an overview of inference methods for continuous-time stochastic volatility models observed at discrete times is presented. It includes estimation methods for both parametric and nonparametric models that are completely or partially observed in a variety of situations where the data might be nonlinear functions of the components of the model and/or contaminated with observation noise. In each case, the main reported methods are presented, making emphasis on underlying ideas, theoretical properties of the estimators (bias consistency, efficient, etc.), and the viability of their implementation to solve actual problems in finance.