Finite Mixture Approximation of CARMA(p,q) Models

Autor: Mercuri, Lorenzo, Perchiazzo, Andrea, Rroji, Edit
Rok vydání: 2020
Předmět:
Druh dokumentu: Working Paper
Popis: In this paper we show how to approximate the transition density of a CARMA(p, q) model driven by means of a time changed Brownian Motion based on the Gauss-Laguerre quadrature. We then provide an analytical formula for option prices when the log price follows a CARMA(p, q) model. We also propose an estimation procedure based on the approximated likelihood density.
Comment: 30 Pages, 13 figures
Databáze: arXiv