Using well-known GARCH models for density prediction of daily S&P 500 and Nikkei 225 index returns, a comparison is provided between frequentist and Bayesian estimation. No significant difference is found between the qualities of the forecasts of the whole density, whereas the Bayesian approach exhibits significantly better left-tail forecast accuracy.

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Tinbergen Institute
hdl.handle.net/1765/22344
Tinbergen Institute Discussion Paper Series
Discussion paper / Tinbergen Institute
Tinbergen Institute

Hoogerheide, L., David, D., & Corre, N. (2011). Stock Index Returns' Density Prediction using GARCH Models: Frequentist or Bayesian Estimation? (No. TI 2011-020/4). Discussion paper / Tinbergen Institute. Retrieved from http://hdl.handle.net/1765/22344