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Predicting expected idiosyncratic volatility: Empirical evidence from ARFIMA, HAR, and EGARCH models

Author

Listed:
  • Chuxuan Xiao

    (Swansea University)

  • Winifred Huang

    (University of Bath)

  • David P. Newton

    (University of Bath)

Abstract

We investigate the performances of the ARFIMA, HAR, and EGARCH models in capturing the time-varying property of idiosyncratic volatility (IVOL). We find that the expected IVOL predictions by HAR are superior. In diverse portfolio scenarios, a greater degree of judgment is required to assess the pricing ability of expected IVOLs. For the lowest value-weighted quintiles and the expected IVOL estimated by the HAR model, the IVOL-return relationship is negative. Conversely, the IVOL-return relationship is positive for the expected IVOL estimated by the EGARCH model. Further evidence suggests a complicated and mixed relationship between the expected IVOL estimated by the ARFIMA model and stock returns.

Suggested Citation

  • Chuxuan Xiao & Winifred Huang & David P. Newton, 2024. "Predicting expected idiosyncratic volatility: Empirical evidence from ARFIMA, HAR, and EGARCH models," Review of Quantitative Finance and Accounting, Springer, vol. 63(3), pages 979-1006, October.
    • Handle: RePEc:kap:rqfnac:v:63:y:2024:i:3:d:10.1007_s11156-024-01279-z
    DOI: 10.1007/s11156-024-01279-z
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    1. Fama, Eugene F & French, Kenneth R, 1992. "The Cross-Section of Expected Stock Returns," Journal of Finance, American Finance Association, vol. 47(2), pages 427-465, June.
    2. Xiaoquan Jiang & Bong‐Soo Lee, 2006. "The Dynamic Relation Between Returns and Idiosyncratic Volatility," Financial Management, Financial Management Association International, vol. 35(2), pages 43-65, June.
    3. Amihud, Yakov & Hurvich, Clifford M., 2004. "Predictive Regressions: A Reduced-Bias Estimation Method," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 39(4), pages 813-841, December.
    4. Guo, Hui & Savickas, Robert, 2006. "Idiosyncratic Volatility, Stock Market Volatility, and Expected Stock Returns," Journal of Business & Economic Statistics, American Statistical Association, vol. 24, pages 43-56, January.
    5. Nelson, Daniel B, 1991. "Conditional Heteroskedasticity in Asset Returns: A New Approach," Econometrica, Econometric Society, vol. 59(2), pages 347-370, March.
    6. Fulvio Corsi & Stefan Mittnik & Christian Pigorsch & Uta Pigorsch, 2008. "The Volatility of Realized Volatility," Econometric Reviews, Taylor & Francis Journals, vol. 27(1-3), pages 46-78.
    7. Torben G. Andersen & Tim Bollerslev & Francis X. Diebold, 2007. "Roughing It Up: Including Jump Components in the Measurement, Modeling, and Forecasting of Return Volatility," The Review of Economics and Statistics, MIT Press, vol. 89(4), pages 701-720, November.
    8. Khovansky, Serguey & Zhylyevskyy, Oleksandr, 2013. "Impact of idiosyncratic volatility on stock returns: A cross-sectional study," Journal of Banking & Finance, Elsevier, vol. 37(8), pages 3064-3075.
    9. Yexiao Xu & Burton G. Malkiel, 2003. "Investigating the Behavior of Idiosyncratic Volatility," The Journal of Business, University of Chicago Press, vol. 76(4), pages 613-644, October.
    10. Campbell, Sean D. & Diebold, Francis X., 2009. "Stock Returns and Expected Business Conditions: Half a Century of Direct Evidence," Journal of Business & Economic Statistics, American Statistical Association, vol. 27(2), pages 266-278.
    11. Dashan Huang & Fuwei Jiang & Jun Tu & Guofu Zhou, 2015. "Investor Sentiment Aligned: A Powerful Predictor of Stock Returns," The Review of Financial Studies, Society for Financial Studies, vol. 28(3), pages 791-837.
    12. Ang, Andrew & Hodrick, Robert J. & Xing, Yuhang & Zhang, Xiaoyan, 2009. "High idiosyncratic volatility and low returns: International and further U.S. evidence," Journal of Financial Economics, Elsevier, vol. 91(1), pages 1-23, January.
    13. Liu, Jianan & Stambaugh, Robert F. & Yuan, Yu, 2018. "Absolving beta of volatility’s effects," Journal of Financial Economics, Elsevier, vol. 128(1), pages 1-15.
    14. Koop, Gary & Ley, Eduardo & Osiewalski, Jacek & Steel, Mark F. J., 1997. "Bayesian analysis of long memory and persistence using ARFIMA models," Journal of Econometrics, Elsevier, vol. 76(1-2), pages 149-169.
    15. Bekaert, Geert & Hodrick, Robert J. & Zhang, Xiaoyan, 2012. "Aggregate Idiosyncratic Volatility," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 47(6), pages 1155-1185, December.
    16. Andersen, Torben G. & Bollerslev, Tim & Huang, Xin, 2011. "A reduced form framework for modeling volatility of speculative prices based on realized variation measures," Journal of Econometrics, Elsevier, vol. 160(1), pages 176-189, January.
    17. Nektarios Aslanidis & Charlotte Christiansen & Neophytos Lambertides & Christos S. Savva, 2019. "Idiosyncratic volatility puzzle: influence of macro-finance factors," Review of Quantitative Finance and Accounting, Springer, vol. 52(2), pages 381-401, February.
    18. Bali, Turan G. & Cakici, Nusret, 2008. "Idiosyncratic Volatility and the Cross Section of Expected Returns," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 43(1), pages 29-58, March.
    19. Duan, Ying & Hu, Gang & McLean, R. David, 2010. "Costly arbitrage and idiosyncratic risk: Evidence from short sellers," Journal of Financial Intermediation, Elsevier, vol. 19(4), pages 564-579, October.
    20. Carhart, Mark M, 1997. "On Persistence in Mutual Fund Performance," Journal of Finance, American Finance Association, vol. 52(1), pages 57-82, March.
    21. Campbell, John Y. & Yogo, Motohiro, 2006. "Efficient tests of stock return predictability," Journal of Financial Economics, Elsevier, vol. 81(1), pages 27-60, July.
    22. Pastor, Lubos & Stambaugh, Robert F., 2003. "Liquidity Risk and Expected Stock Returns," Journal of Political Economy, University of Chicago Press, vol. 111(3), pages 642-685, June.
    23. Fulvio Corsi, 2009. "A Simple Approximate Long-Memory Model of Realized Volatility," Journal of Financial Econometrics, Oxford University Press, vol. 7(2), pages 174-196, Spring.
    24. Busch, Thomas & Christensen, Bent Jesper & Nielsen, Morten Ørregaard, 2011. "The role of implied volatility in forecasting future realized volatility and jumps in foreign exchange, stock, and bond markets," Journal of Econometrics, Elsevier, vol. 160(1), pages 48-57, January.
    25. Jiang, George J. & Xu, Danielle & Yao, Tong, 2009. "The Information Content of Idiosyncratic Volatility," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 44(1), pages 1-28, February.
    26. Brian Boyer & Todd Mitton & Keith Vorkink, 2010. "Expected Idiosyncratic Skewness," The Review of Financial Studies, Society for Financial Studies, vol. 23(1), pages 169-202, January.
    27. Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April.
    28. Marwan Izzeldin & M. Kabir Hassan & Vasileios Pappas & Mike Tsionas, 2019. "Forecasting realised volatility using ARFIMA and HAR models," Quantitative Finance, Taylor & Francis Journals, vol. 19(10), pages 1627-1638, October.
    29. Wei Huang & Qianqiu Liu & S. Ghon Rhee & Liang Zhang, 2010. "Return Reversals, Idiosyncratic Risk, and Expected Returns," The Review of Financial Studies, Society for Financial Studies, vol. 23(1), pages 147-168, January.
    30. Torben G. Andersen & Tim Bollerslev & Francis X. Diebold & Paul Labys, 2003. "Modeling and Forecasting Realized Volatility," Econometrica, Econometric Society, vol. 71(2), pages 579-625, March.
    31. Bhardwaj, Geetesh & Swanson, Norman R., 2006. "An empirical investigation of the usefulness of ARFIMA models for predicting macroeconomic and financial time series," Journal of Econometrics, Elsevier, vol. 131(1-2), pages 539-578.
    32. Jason D. Fink & Kristin E. Fink & Hui He, 2012. "Expected Idiosyncratic Volatility Measures and Expected Returns," Financial Management, Financial Management Association International, vol. 41(3), pages 519-553, September.
    33. Bollerslev, Tim & Patton, Andrew J. & Quaedvlieg, Rogier, 2016. "Exploiting the errors: A simple approach for improved volatility forecasting," Journal of Econometrics, Elsevier, vol. 192(1), pages 1-18.
    34. Brockman, Paul & Guo, Tao & Vivero, Maria Gabriela & Yu, Wayne, 2022. "Is idiosyncratic risk priced? The international evidence," Journal of Empirical Finance, Elsevier, vol. 66(C), pages 121-136.
    35. Maher Khasawneh & David G. McMillan & Dimos Kambouroudis, 2023. "Expected profitability, the 52-week high and the idiosyncratic volatility puzzle," The European Journal of Finance, Taylor & Francis Journals, vol. 29(14), pages 1621-1648, September.
    36. Fama, Eugene F. & French, Kenneth R., 2015. "A five-factor asset pricing model," Journal of Financial Economics, Elsevier, vol. 116(1), pages 1-22.
    37. Andrew Ang & Robert J. Hodrick & Yuhang Xing & Xiaoyan Zhang, 2006. "The Cross‐Section of Volatility and Expected Returns," Journal of Finance, American Finance Association, vol. 61(1), pages 259-299, February.
    38. Andersen, Torben G. & Bollerslev, Tim & Diebold, Francis X. & Ebens, Heiko, 2001. "The distribution of realized stock return volatility," Journal of Financial Economics, Elsevier, vol. 61(1), pages 43-76, July.
    39. Thanos Verousis & Nikolaos Voukelatos, 2018. "Cross-sectional dispersion and expected returns," Quantitative Finance, Taylor & Francis Journals, vol. 18(5), pages 813-826, May.
    40. Fama, Eugene F. & French, Kenneth R., 1993. "Common risk factors in the returns on stocks and bonds," Journal of Financial Economics, Elsevier, vol. 33(1), pages 3-56, February.
    41. Guo, Hui & Kassa, Haimanot & Ferguson, Michael F., 2014. "On the Relation between EGARCH Idiosyncratic Volatility and Expected Stock Returns," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 49(1), pages 271-296, February.
    42. Cao, Jie & Han, Bing, 2016. "Idiosyncratic risk, costly arbitrage, and the cross-section of stock returns," Journal of Banking & Finance, Elsevier, vol. 73(C), pages 1-15.
    43. Yow-Jen Jou & Chih-Wei Wang & Wan-Chien Chiu, 2013. "Is the realized volatility good for option pricing during the recent financial crisis?," Review of Quantitative Finance and Accounting, Springer, vol. 40(1), pages 171-188, January.
    44. Dimson, Elroy, 1979. "Risk measurement when shares are subject to infrequent trading," Journal of Financial Economics, Elsevier, vol. 7(2), pages 197-226, June.
    45. Bi, Jia & Zhu, Yifeng, 2020. "Value at risk, cross-sectional returns and the role of investor sentiment," Journal of Empirical Finance, Elsevier, vol. 56(C), pages 1-18.
    46. Choong Tze Chua & Jeremy Goh & Zhe Zhang, 2010. "Expected Volatility, Unexpected Volatility, And The Cross‐Section Of Stock Returns," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 33(2), pages 103-123, June.
    47. Vasicek, Oldrich A, 1973. "A Note on Using Cross-Sectional Information in Bayesian Estimation of Security Betas," Journal of Finance, American Finance Association, vol. 28(5), pages 1233-1239, December.
    48. Bergbrant, Mikael & Kassa, Haimanot, 2021. "Is idiosyncratic volatility related to returns? Evidence from a subset of firms with quality idiosyncratic volatility estimates," Journal of Banking & Finance, Elsevier, vol. 127(C).
    49. Peterson, David R. & Smedema, Adam R., 2011. "The return impact of realized and expected idiosyncratic volatility," Journal of Banking & Finance, Elsevier, vol. 35(10), pages 2547-2558, October.
    50. Boehme, Rodney D. & Danielsen, Bartley R. & Kumar, Praveen & Sorescu, Sorin M., 2009. "Idiosyncratic risk and the cross-section of stock returns: Merton (1987) meets Miller (1977)," Journal of Financial Markets, Elsevier, vol. 12(3), pages 438-468, August.
    51. Ilona Babenko & Oliver Boguth & Yuri Tserlukevich, 2016. "Idiosyncratic Cash Flows and Systematic Risk," Journal of Finance, American Finance Association, vol. 71(1), pages 425-456, February.
    52. Patton, Andrew J. & Sheppard, Kevin, 2009. "Optimal combinations of realised volatility estimators," International Journal of Forecasting, Elsevier, vol. 25(2), pages 218-238.
    53. Fu, Fangjian, 2009. "Idiosyncratic risk and the cross-section of expected stock returns," Journal of Financial Economics, Elsevier, vol. 91(1), pages 24-37, January.
    54. Ying Jiang & Shamim Ahmed & Xiaoquan Liu, 2017. "Volatility forecasting in the Chinese commodity futures market with intraday data," Review of Quantitative Finance and Accounting, Springer, vol. 48(4), pages 1123-1173, May.
    55. Zhiyao Chen & Ilya A Strebulaev, 2019. "Macroeconomic Risk and Idiosyncratic Risk-taking," The Review of Financial Studies, Society for Financial Studies, vol. 32(3), pages 1148-1187.
    56. Engle, Robert F, 1982. "Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation," Econometrica, Econometric Society, vol. 50(4), pages 987-1007, July.
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    More about this item

    Keywords

    Asset Pricing; Idiosyncratic volatility; Time-varying; ARFIMA; HAR; EGARCH;
    All these keywords.

    JEL classification:

    • C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Prediction Models; Simulation Methods
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G17 - Financial Economics - - General Financial Markets - - - Financial Forecasting and Simulation

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