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CPS1837 Qiguang Dong et al.



                               CSI300 volatility forecasting model and its MCS
                                                      test
                                                                2
                                        Qiguang Dong  , Hang Li  , Lili Chen
                                                       1
                                                                          3
                                       1 PLA Military Science Academy, 100142, Beijing, China
                      2 Donlinks School of Economics and Management, University of Science and Technology
                                                100083, Beijing, China
                        3 School of Economics and Management, Tsinghua University, 100084, Beijing, China

                  Abstract
                  In this paper, 5 min frequency observations are taken to forecast the actual
                  volatility of CSI300 stock index intraday returns. Both realized volatility and
                  logarithm-transformed realized volatility are modelled directly in the ARFIMA
                  model specification. Besides, GARCH family models and different distributions
                  are utilized to address the potential heteroscedasticity problem. Applying the
                  out-of sample rolling time window forecasting and Model Confidence Set
                  which  is  proved  superior  to  SPA  test,  this  paper  compares  the  empirical
                  performance of all specified models. The empirical results show that: (1) Both
                  RV and LnRV series have a long memory due to both Hurst indexes are greater
                  than 0.5 and smaller than 1. (2) The symmetric and skewed generalized error
                  distributions ged and sged are employed more accurate than  normal and
                  student-t distributions. (3) The model LnRV-sGARCH-sged is outperformed
                  than the rest in the long memory model as well as in the short memory model.

                  Keywords
                  Volatility forecasting; stock index; MCS test; CSI300

                  1. Introduction
                    The efficiency of the volatility forecast is crucial for option pricing, but also
                  in many areas of finance. Since ARCH models, GARCH models and Stochastic
                  Volatility models are introduced to estimate and forecast volatility in financial
                  market, these models gradually established their dominance and still in the
                  continuous development. However, these models usually use lower frequency
                  observations to estimate and forecast volatility of financial assets, which lost
                  an amount of intraday trading information and have difficulty to deal with
                  multidimensional  problems.  High  frequency  observations  can  quickly  and
                  effectively  to  capture  market  information,  which  can  be  more  accuracy  to
                  reflect  the  actual  situation  in  the  financial  markets  than  lower  frequency
                  observations.  (Andersen  and  Bollerslev,  1998;  BarndorffNielsen  and
                  Shephard,2002). RV is the sum of intraday squared returns, which accuracy
                  depends on the returns of intraday high frequency observations (Taylor and


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