6533b823fe1ef96bd127f3e8

RESEARCH PRODUCT

A Mixture Multiplicative Error Model for Realized Volatility

Markku Lanne

subject

Economics and EconometricsRealized varianceAutoregressive conditional heteroskedasticityStatisticsGamma distributionForward volatilityEconometricsEconomicsConditional probability distributionVolatility (finance)Mixture modelFinanceAutoregressive fractionally integrated moving average

description

A multiplicative error model with time-varying parameters and an error term following a mixture of gamma distributions is introduced. The model is fitted to the daily realized volatility series of deutschemark/dollar and yen/dollar returns and is shown to capture the conditional distribution of these variables better than the commonly used autoregressive fractionally integrated moving average model. The forecasting performance of the new model is found to be, in general, superior to that of the set of volatility models recently considered by Andersen et al. (2003, Econometrica 71, 579--625) for the same data. Copyright 2006, Oxford University Press.

https://doi.org/10.1093/jjfinec/nbl001