본문 바로가기
KERD
논문KCI 등재

Bayesian Forecasting on Intraday Volatility with Nonlinear GARCH Models

0

조회

0

다운로드

1

인용

0

참고문헌

키워드

주제분류경제학

초록

The purpose of this paper is to apply a Bayesian method to simulate the modified nonlinear GARCH models. In addition, the paper specifies the forecast performances on several GARCH models. The main findings and implications are as follows:First, forecast performances on most of GARCH models are not significantly different across the experiments with different sample sizes, however, the performances are different across forecast points. This finding indicates that if one has enough observations then she needs not extend observation to forecast intraday volatilities. Second, the forecast power of all models is different across forecast time points, which represents that the forecast power of the GARCH models are not stable. The price volatility in UHF data is non-stationary so that a proper forecast model may depend on the forecast time points. Third, the more complicated model, the more required computing time. However, the difference of computing time across models is not significant so that t-distribution models can be applied to the forecast of intraday volatility.

Abstract

The purpose of this paper is to apply a Bayesian method to simulate the modified nonlinear GARCH models. In addition, the paper specifies the forecast performances on several GARCH models. The main findings and implications are as follows:First, forecast performances on most of GARCH models are not significantly different across the experiments with different sample sizes, however, the performances are different across forecast points. This finding indicates that if one has enough observations then she needs not extend observation to forecast intraday volatilities. Second, the forecast power of all models is different across forecast time points, which represents that the forecast power of the GARCH models are not stable. The price volatility in UHF data is non-stationary so that a proper forecast model may depend on the forecast time points. Third, the more complicated model, the more required computing time. However, the difference of computing time across models is not significant so that t-distribution models can be applied to the forecast of intraday volatility.

참고문헌 (20)

  1. Theory and inference for a Markov switching GARCH model, "Bauwens, L.", CORE, ~, pp.CORE Discussion Paper, 2007 (2007), 55
  2. Bauwens, L., "Bayesian inference on GARCH models using Gibbs sampler", Econometric Journal, 1, pp.C23~C46 (1998)
  3. Bollerslev, T., "Periodic autoregressive conditional heteroskedasticity", Journal of Business and Economic Statistics, 14, pp.139~151 (1996)
  4. Chen, C. W., "Volatility forecasting with double markov switching GARCH models", Journal of Forecasting, 28, pp.681~697 (2009)
  5. Chib, S., "Understanding the Metropolis- Hastings algorithm", American Statistician, 49, pp.327~335 (1995)
  6. Ding, Z., "Modeling volatility persistence of speculative returns: A new approach", Journal of Econometrics, 73, pp.185~215 (1996)
  7. Gerlach, R., "Bayesian inference and model comparison for asymmetric smooth transition heteroskadastic models", Statistics and Computing, 18, pp.391~408 (2008)
  8. Glosten, L. R., "On the relation between the expected value and the volatility of the nominal excess return on stocks", Journal of Finance, 48, pp.1779~1801 (1993)
  9. Gonalez-Rivera, G., "Smooth-transition GARCH models", Studies in Nonlinear Dynamics and Econometrics, 3, pp.61~78 (1998)
  10. Hastings, W. K., "Monte Carlo methods using Markov chains and their applications", Biometrika, 57, pp.97~109 (1970)
  11. Koop, G., "Bayesian Econometric Methods" (2007), Cambridge University Press
  12. Liu, W., "Volatility forecasting in the Hang Seng index using the GARCH approach", Asia-Pacific Financial Markets, 16, pp.51~63 (2009)
  13. Smooth transition GARCH models: A Bayesian perspective, "Lubrano, M", CORE, ~, pp.CORE Discussion Paper 9866 (1998)
  14. Metropolis, N., "Equation of state calculations by fast computing machines", Journal of Chemical Physics, 21, pp.1087~1092 (1953)
  15. 박수남, "Essays on the Bayesian forecasting with UHF futures data", 박사, pp.2011
  16. 박수남, "Intraday Seasonality and Distribution of Long Gilt Futures Transaction", Journal of The Korean Data Analysis Society, 13(6), pp.2803~2815 (2011), 한국자료분석학회
  17. Taylor, J. W., "Volatility forecasting with smooth transition exponential smoothing", International Journal of Forecasting, 20, pp.273~286 (2004)
  18. Terasvirta, T., "Specification, estimation, and evaluation of smooth transition autoregressive models", Journal of the American Statistical Association, 89, pp.208~218 (1994)
  19. Vrontos, I. D., "Full Bayesian inference for GARCH and EGARCH models", Journal of Business and Economic Statistics, 18, pp.187~198 (2000)
  20. Wago, H., "Bayesian estimation of smooth transition GARCH model using Gibbs sampling", Mathematics and Computers in Simulation, 64, pp.63~78 (2004)

관련 논문AI추천

이 간행물의 다른 논문 (10건)