Estimating and forecasting generalized fractional Long memory stochastic volatility models

In recent years fractionally differenced processes have received a great deal of attention due to its flexibility in financial applications with long memory. This paper considers a class of models generated by Gegenbauer polynomials, incorporating the long memory in stochastic volatility (SV) compon...

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Detalles Bibliográficos
Autores: Peiris, Shelton, Asai, Manabu, McAleer, Michael
Tipo de recurso: informe técnico
Fecha de publicación:2016
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/27571
Acceso en línea:https://hdl.handle.net/20.500.14352/27571
Access Level:acceso abierto
Palabra clave:C18
C21
C58
Stochastic volatility
GARCH models
Gegenbauer Polynomial
Long Memory
Spectral Likelihood
Estimation
Forecasting.
Probabilidades (Estadística)
Econometría (Economía)
1208 Probabilidad
5302 Econometría
Descripción
Sumario:In recent years fractionally differenced processes have received a great deal of attention due to its flexibility in financial applications with long memory. This paper considers a class of models generated by Gegenbauer polynomials, incorporating the long memory in stochastic volatility (SV) components in order to develop the General Long Memory SV (GLMSV) model. We examine the statistical properties of the new model, suggest using the spectral likelihood estimation for long memory processes, and investigate the finite sample properties via Monte Carlo experiments. We apply the model to three exchange rate return series. Overall, the results of the out-of-sample forecasts show the adequacy of the new GLMSV model.