KAJIAN MODEL HIDDEN MARKOV UNTUK MENDUGA VOLATILITAS INDEKS HARGA SAHAM
DOI:
https://doi.org/10.31000/prima.v5i2.1476Abstrak
Abstrak
Volatility is a measure of uncertainty. Volatility can either be measured by using the standard deviation or variance between returns. The problem is volatility is unobservable, and estimating volatility is not a trivial task. Therefore, it needs daily volatility proxy as a benchmark in calculating error. This research used daily volatility proxy proposed by Alizadeh, Brandt, dan Diebolt (2002). Hidden Markov model is used for estimating volatility proposed by Rossi and Gallo (2006). Forecasting volatility for LQ45 index using the model performs well. This is indicated by SMAPE (Symmetric Mean Absolute Percentage Error) about 13.62%.
Kata kunci: volatility, hidden Markov model, forecasting
Referensi
Alizadeh, S., Brandt, M. W., and Diebold, F. X., 1999. Range-based estimator of stochastic volatility models. Working paper, University of Pennsylvania.
Berndt, Ernst K., Bronwyn H. Hall, Robert E. Hall, and Jerry A. Hausman 1974.Estimation and Inference in Nonlinear Structural Models. Annals of Economic and Social Measurement 4, 653-665.
Bollerslev T. 1987. A conditionally heteroskedastic time series model for speculative prices and rates of return. Review of Economics & Statistics 69, 542-547.
Cvitanic J., Liptser R.S., dan Rozovskii B.L. 2005. A Filtering approach to tracking volatility from prices observed at random times.The Annals of Applied Probability 16, No.3, 1633-1652.
Hamilton J.D. 1994.Time Series Analysis. Princeton University Press.
Hamilton J.D., dan Susmel R. 1994. Autorgressive conditional heteroskedasticity and changes in regimes, Journal of Econometrics 64, 307-333.
Lamoureux C.G., dan Lastrapes W.D. 1990. Persistence in variance, structural changes, and the GARCH model, Journal of Business and Economic Statistics 8, No. 2, 226-234.
Rossi A. dan Gallo G. 2006. Volatility estimation via hidden Markov models, Journal of Empirical Finance, 13, 203-230.
Ruppert D. 2011. Statistics and data analysis for finance engineering. Springer.
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