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All Journal Jurnal Akuntansi dan Keuangan
Kezia Natalia Putri Prasetia
Department of Mathematics, Satya Wacana Christian University, Indonesia
Economics, Econometrics & Finance

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Modeling of Returns Volatility using GARCH(1,1) Model under Tukey Transformations Didit Budi Nugroho; Bambang Susanto; Kezia Natalia Putri Prasetia; Rebecca Rorimpandey
Jurnal Akuntansi dan Keuangan Vol. 21 No. 1 (2019): MAY 2019
Publisher : Institute of Research and Community Outreach - Petra Christian University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (534.325 KB) | DOI: 10.9744/jak.20.1.12-20

Abstract

This study proposed two new classes of GARCH(1,1) model by applying the Tukeytransformations to the returns and to the lagged variance. The behavior of return volatility was investigated on the basis of models with normal and Student-t distributions for return error. The competing models were estimated by using the Excel Solver and Matlab tools. The empirical analysis is based on simulated data, daily exchange rates of the IDR/USD, and daily stock indices of FTSE100 and TOPIX. This study recommends the use of Excel Solver for finance academics and practitioners working on volatility using GARCH(1,1) models. Our empirical findings conclude that GARCH(1,1) models under Tukey transformations should be considered in risk management decisions since the models are more appropriate than standard for describing returns and volatility of financial time series and its stylized facts including fat tails and mean reverting. The Tukey transformed returns imply a shorter volatility half-life, and thus this study suggests that investors should invest the observed assets in a shorter time period to obtain higher returns.
Co-Authors Bambang Susanto Nugroho, Didit Budi Rebecca Rorimpandey