The Effect of Innovation Assumptions on Asymmetric GARCH Models for Volatility Forecasting

被引:0
作者
Acuna, Diego [1 ]
Allende-Cid, Hector [2 ]
Allende, Hector [3 ]
机构
[1] Univ Tecn Federico Santa Maria, Valparaiso, Chile
[2] Pontificia Univ Catolica Valparaiso, Valparaiso, Chile
[3] Univ Adolfo Ibnez, Vina Del Mar, Chile
来源
PROGRESS IN PATTERN RECOGNITION, IMAGE ANALYSIS, COMPUTER VISION, AND APPLICATIONS, CIARP 2015 | 2015年 / 9423卷
关键词
Financial markets; GARCH models; Asymmetry; Innovation processes; CONDITIONAL HETEROSKEDASTICITY;
D O I
10.1007/978-3-319-25751-8_63
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
The modelling and forecasting of volatility in Time Series has been receiving great attention from researchers over the past years. In this topic, GARCH models are one of the most popular models. In this work, the effects of choosing different distribution families for the innovation process on asymmetric GARCH models are investigated. In particular, we compare A-PARCH models for the IBM stock data with Normal, Student's t, Generalized Error, skew Student's t and Pearson type-IV distributions. The main findings indicate that distributions with skewness have better performance than non-skewed distributions and that the Pearson IV distribution arises as a great candidate for the innovation process on asymmetric models.
引用
收藏
页码:527 / 534
页数:8
相关论文
共 18 条
[1]  
Alberg D., 2008, APPL FINANCIAL EC, V18, P1201, DOI [10.1080/09603100701604225, DOI 10.1080/09603100701604225]
[2]   GENERALIZED AUTOREGRESSIVE CONDITIONAL HETEROSKEDASTICITY [J].
BOLLERSLEV, T .
JOURNAL OF ECONOMETRICS, 1986, 31 (03) :307-327
[3]   Comparing predictive accuracy (Reprinted) [J].
Diebold, FX ;
Mariano, RS .
JOURNAL OF BUSINESS & ECONOMIC STATISTICS, 2002, 20 (01) :134-144
[4]  
Ding Z., 1993, Journal of Empirical Finance, V1, P83, DOI [10.1016/0927-5398(93)90006-D, DOI 10.1016/0927-5398(93)90006-D]
[5]   AUTOREGRESSIVE CONDITIONAL HETEROSCEDASTICITY WITH ESTIMATES OF THE VARIANCE OF UNITED-KINGDOM INFLATION [J].
ENGLE, RF .
ECONOMETRICA, 1982, 50 (04) :987-1007
[6]   What good is a volatility model? [J].
Engle, Robert F. ;
Patton, Andrew J. .
QUANTITATIVE FINANCE, 2001, 1 (02) :237-245
[7]   THE BEHAVIOR OF STOCK-MARKET PRICES [J].
FAMA, EF .
JOURNAL OF BUSINESS, 1965, 38 (01) :34-105
[8]   On Bayesian modeling of fat tails and skewness [J].
Fernandez, C ;
Steel, MFJ .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1998, 93 (441) :359-371
[9]   ESTIMATION OF SECURITY PRICE VOLATILITIES FROM HISTORICAL DATA [J].
GARMAN, MB ;
KLASS, MJ .
JOURNAL OF BUSINESS, 1980, 53 (01) :67-78
[10]   A forecast comparison of volatility models: Does anything beat a GARCH(1,1)? [J].
Hansen, PR ;
Lunde, A .
JOURNAL OF APPLIED ECONOMETRICS, 2005, 20 (07) :873-889