Modelling and forecasting stock volatility and return: a new approach based on quantile Rogers-Satchell volatility measure with asymmetric bilinear CARR model

Tan, Shay Kee and Chan, Jennifer So Kuen and Ng, Kok Haur (2022) Modelling and forecasting stock volatility and return: a new approach based on quantile Rogers-Satchell volatility measure with asymmetric bilinear CARR model. Studies In Nonlinear Dynamics and Econometrics, 26 (3). pp. 437-474. ISSN 1081-1826, DOI https://doi.org/10.1515/snde-2019-0101.

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Abstract

This paper proposes quantile Rogers-Satchell (QRS) measure to ensure robustness to intraday extreme prices. We add an efficient term to correct the downward bias of Rogers-Satchell (RS) measure and provide scaling factors for different interquantile range levels to ensure unbiasedness of QRS. Simulation studies confirm the efficiency of QRS measure relative to the intraday squared returns and RS measures in the presence of extreme prices. To smooth out noises, QRS measures are fitted to the CARR model with different asymmetric mean functions and error distributions. By comparing to two realised volatility measures as proxies for the unobserved true volatility, results from Standard and Poor 500 and Dow Jones Industrial Average indices show that QRS estimates using asymmetric bilinear mean function provide the best in-sample model fit based on two robust loss functions with heavier penalty for under-prediction. These fitted volatilities are then incorporated into return models to capture the heteroskedasticity of returns. Model with a constant mean, Student-t errors and QRS estimates gives the best in-sample fit. Different value-at-risk (VaR) and conditional VaR forecasts are provided based on this best return model. Performance measures including Kupiec test for VaRs are evaluated to confirm the accuracy of the VaR forecasts.

Item Type: Article
Funders: Ministry of Higher Education (MoHE), Malaysia [Grant No:FP041-2017A], Ministry of Higher Education (MoHE), Malaysia [Grant No:FRGS/1/2017/STG06/UM/2019], Universiti Malaya [Grant No:PG037-2016A]
Uncontrolled Keywords: CARR model; Quantile rogers-satchell; Range-based; Value-at-risk; Volatility
Subjects: H Social Sciences > HB Economic Theory
Q Science > QA Mathematics
Divisions: Faculty of Science > Institute of Mathematical Sciences
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 13 Oct 2023 02:23
Last Modified: 13 Oct 2023 02:23
URI: http://eprints.um.edu.my/id/eprint/42108

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