TY  - JOUR
TI  - A nonlinear filtering approach to volatility estimation with a view towards high frequency data
AB  - In this paper we consider a nonlinear filtering approach to the estimation of asset price volatility. We are particularly interested in models which are suitable for high frequency data. In order to describe some of the typical features of high frequency data we consider marked point process models for the asset price dynamics. Both jump-intensity and jump-size distribution of this marked point process depend on a hidden state variable which is closely related to asset price volatility. In our setup volatility estimation can therefore be viewed as a nonlinear filtering problem with marked point process observations. We develop efficient recursive methods to compute approximations to the conditional distribution of this state variable using the so-called reference probability approach to nonlinear filtering.
DO  - http://dx.doi.org/10.1142/S021902490100095X
SP  - 1
EP  - 12
UR  - http://www.worldscinet.com/ijtaf/04/0402/S02190249010402.html
PY  - 2001-01-01
JO  - International Journal of Theoretical and Applied Finance
AU  - Frey, Rüdiger 
AU  - Runggaldier, Wolfgang 
ER -