Deviance Information Criterion for Comparing Stochastic Volatility Models

Bayesian methods have been efficient in estimating parameters of stochastic volatility models for analyzing financial time series. Recent advances made it possible to fit stochastic volatility models of increasing complexity, including covariates, leverage effects, jump components, and heavy-tailed...

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Bibliographic Details
Main Authors: Berg, Andreas, Meyer, Renate, YU, Jun
Format: text
Language:English
Published: Institutional Knowledge at Singapore Management University 2004
Subjects:
Online Access:https://ink.library.smu.edu.sg/soe_research/351
https://ink.library.smu.edu.sg/context/soe_research/article/1350/viewcontent/SSRN_id320023__1_.pdf
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Institution: Singapore Management University
Language: English
Description
Summary:Bayesian methods have been efficient in estimating parameters of stochastic volatility models for analyzing financial time series. Recent advances made it possible to fit stochastic volatility models of increasing complexity, including covariates, leverage effects, jump components, and heavy-tailed distributions. However, a formal model comparison via Bayes factors remains difficult. The main objective of this article is to demonstrate that model selection is more easily performed using the deviance information criterion (DIC). It combines a Bayesian measure of fit with a measure of model complexity. We illustrate the performance of DIC in discriminating between various different stochastic volatility models using simulated data and daily returns data on the Standard & Poors (S&P) 100 index. [PUBLICATION ABSTRACT]