A Bayesian estimation of a GARCH model is performed for US Dollar/Japanese Yen exchange rate by the Metropolis-Hastings algorithm with a proposal density given by the adaptive construction scheme. In the adaptive construction scheme the proposal density is assumed to take a form of a multivariate Student’s t-distribution and its parameters are evaluated by using the sampled data and updated ada...

This paper examines volatility spillovers between the stock and currency markets of ten Asian economies in the period 2003 to 2014. To carry out this analysis, a multivariate asymmetric GARCH model is used. In general, our results present evidence of bidirectional volatility spillovers between both markets, independently of the individual country’s level of development. Additionally, our findin...

ARCH/GARCH modelling has been successfully applied in empirical finance for many years. This paper surveys the semiparametric and nonparametric methods in univariate andmultivariate ARCH/GARCHmodels. First, we introduce some specific semiparametric models and investigate the semiparametric and nonparametrics estimation techniques applied to: the error density, the functional form of the volatil...

This paper examines the ability of several models to generate optimal hedge ratios. Statistical models employed include univariate and multivariate GARCH models, and exponentially weighted and simple moving averages. The variances of the hedged portfolios derived using these hedge ratios are compared with those based on market expectations implied by the prices of traded options. One-month and ...

This paper considers estimation of semi-nonparametric GARCH filtered copula models in which the individual time series are modeled by and joint distributions multivariate standardized innovations characterized parametric copulas with nonparametric marginal distributions. The extend those Chen Fan (2006) to allow for conditional means volatilities, estimated via method sieves. fitted residuals t...

This paper derives the statistical properties of a two-step approach to estimating multivariate rotated GARCH-BEKK (RBEKK) models. From definition RBEKK, unconditional covariance matrix is estimated in first step rotate observed variables order have identity for its sample matrix. In second step, remaining parameters are by maximizing quasi-log-likelihood function. For this quasi-maximum likeli...

In this paper we introduce a multivariate generalized autoregressive conditional heteroskedastic (GARCH) class of models with time-varying eigenvalues. The dynamics the eigenvalues is derived for cases underlying Gaussian and Student’s t-distributed innovations based on general theory dynamic score by Creal, Koopman Lucas (2013) Harvey (2013). resulting eigenvalue GARCH – labeled ‘?-GARCH’ diff...