IDEAS home Printed from https://ideas.repec.org/p/ucd/wpaper/202210.html
   My bibliography  Save this paper

Co-skewness across Return Horizons

Author

Listed:
  • Chenglu Jin
  • Thomas Conlon
  • John Cotter

    (Smurfit Graduate Business School, University College Dublin, Ireland, School of Finance, Zhejiang University of Finance and Economics, China, and UCD Geary Institute for Public Policy, University College Dublin)

Abstract

In this paper the impact of investment horizon on asset co-skewness is examined both empirically and theoretically. We first detail a strong horizon-based estimation bias for co-skewness. An asset that has positive co-skewness at one horizon may have negative co-skewness for others. This phenomenon is particularly evident for small-capitalization stocks. We then propose a theoretical model to estimate long-horizon co-skewness using data observed at the shortest horizon, which emphasizes the role of adjustment delays in the pricing of market-wide information among securities. Co-skewness is only found to be priced in the cross-section of stock returns for a small range of short-horizons, calling into question the universal validity of the three-moment model.

Suggested Citation

  • Chenglu Jin & Thomas Conlon & John Cotter, 2022. "Co-skewness across Return Horizons," Working Papers 202210, Geary Institute, University College Dublin.
    • Handle: RePEc:ucd:wpaper:202210
    as

    Download full text from publisher

    File URL: http://www.ucd.ie/geary/static/publications/workingpapers/gearywp202210.pdf
    File Function: First version, 2022
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Scholes, Myron & Williams, Joseph, 1977. "Estimating betas from nonsynchronous data," Journal of Financial Economics, Elsevier, vol. 5(3), pages 309-327, December.
    2. Bandi, Federico M. & Chaudhuri, Shomesh E. & Lo, Andrew W. & Tamoni, Andrea, 2021. "Spectral factor models," Journal of Financial Economics, Elsevier, vol. 142(1), pages 214-238.
    3. Andrew J. Patton, 2004. "On the Out-of-Sample Importance of Skewness and Asymmetric Dependence for Asset Allocation," Journal of Financial Econometrics, Oxford University Press, vol. 2(1), pages 130-168.
    4. Jennifer Conrad & Robert F. Dittmar & Eric Ghysels, 2013. "Ex Ante Skewness and Expected Stock Returns," Journal of Finance, American Finance Association, vol. 68(1), pages 85-124, February.
    5. Hawawini, Gabriel, 1983. "Why beta shifts as the return interval changes," MPRA Paper 44893, University Library of Munich, Germany.
    6. Eberl, Andreas & Klar, Bernhard, 2020. "Asymptotic distributions and performance of empirical skewness measures," Computational Statistics & Data Analysis, Elsevier, vol. 146(C).
    7. Brennan, Michael J. & Zhang, Yuzhao, 2020. "Capital Asset Pricing with a Stochastic Horizon," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 55(3), pages 783-827, May.
    8. Yacine AÏT‐SAHALI & Michael W. Brandt, 2001. "Variable Selection for Portfolio Choice," Journal of Finance, American Finance Association, vol. 56(4), pages 1297-1351, August.
    9. Lo, Andrew W & MacKinlay, A Craig, 1990. "When Are Contrarian Profits Due to Stock Market Overreaction?," The Review of Financial Studies, Society for Financial Studies, vol. 3(2), pages 175-205.
    10. Hawawini, Gabriel & Cohen, Kalman & Maier, Steven & Schwartz, Robert & Whitcomb, David, 1980. "Implications of microstructure theory for empirical research in stock price behavior," MPRA Paper 33976, University Library of Munich, Germany.
    11. Amihud, Yakov & Mendelson, Haim, 1986. "Asset pricing and the bid-ask spread," Journal of Financial Economics, Elsevier, vol. 17(2), pages 223-249, December.
    12. Banz, Rolf W., 1981. "The relationship between return and market value of common stocks," Journal of Financial Economics, Elsevier, vol. 9(1), pages 3-18, March.
    13. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
    14. Dierkes, Maik & Erner, Carsten & Zeisberger, Stefan, 2010. "Investment horizon and the attractiveness of investment strategies: A behavioral approach," Journal of Banking & Finance, Elsevier, vol. 34(5), pages 1032-1046, May.
    15. Theobald, Michael & Yallup, Peter, 2004. "Determining security speed of adjustment coefficients," Journal of Financial Markets, Elsevier, vol. 7(1), pages 75-96, January.
    16. Levhari, David & Levy, Haim, 1977. "The Capital Asset Pricing Model and the Investment Horizon," The Review of Economics and Statistics, MIT Press, vol. 59(1), pages 92-104, February.
    17. Kostakis, Alexandros & Muhammad, Kashif & Siganos, Antonios, 2012. "Higher co-moments and asset pricing on London Stock Exchange," Journal of Banking & Finance, Elsevier, vol. 36(3), pages 913-922.
    18. Post, Thierry & van Vliet, Pim & Levy, Haim, 2008. "Risk aversion and skewness preference," Journal of Banking & Finance, Elsevier, vol. 32(7), pages 1178-1187, July.
    19. Thomas Eisenbach & Martin Schmalz & Marianne Andries, 2015. "Asset Pricing with Horizon-Dependent Risk Aversion," 2015 Meeting Papers 1069, Society for Economic Dynamics.
    20. Handa, Puneet & Kothari, S. P. & Wasley, Charles, 1989. "The relation between the return interval and betas : Implications for the size effect," Journal of Financial Economics, Elsevier, vol. 23(1), pages 79-100, June.
    21. Y. Peter Chung & Michael J. Schill, 2006. "Asset Pricing When Returns Are Nonnormal: Fama-French Factors versus Higher-Order Systematic Comoments," The Journal of Business, University of Chicago Press, vol. 79(2), pages 923-940, March.
    22. Oliver Boguth & Murray Carlson & Adlai Fisher & Mikhail Simutin, 2016. "Horizon Effects in Average Returns: The Role of Slow Information Diffusion," The Review of Financial Studies, Society for Financial Studies, vol. 29(8), pages 2241-2281.
    23. Amihud, Yakov, 2002. "Illiquidity and stock returns: cross-section and time-series effects," Journal of Financial Markets, Elsevier, vol. 5(1), pages 31-56, January.
    24. Lauren Cohen & Andrea Frazzini, 2008. "Economic Links and Predictable Returns," Journal of Finance, American Finance Association, vol. 63(4), pages 1977-2011, August.
    25. 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.
    26. Kalman J. Cohen & Gabriel A. Hawawini & Steven F. Maier & Robert A. Schwartz & David K. Whitcomb, 1983. "Estimating and Adjusting for the Intervalling-Effect Bias in Beta," Management Science, INFORMS, vol. 29(1), pages 135-148, January.
    27. Fang, Hsing & Lai, Tsong-Yue, 1997. "Co-Kurtosis and Capital Asset Pricing," The Financial Review, Eastern Finance Association, vol. 32(2), pages 293-307, May.
    28. Perron, Pierre & Chun, Sungju & Vodounou, Cosme, 2013. "Sampling interval and estimated betas: Implications for the presence of transitory components in stock prices," Journal of Empirical Finance, Elsevier, vol. 20(C), pages 42-62.
    29. Dimson, Elroy, 1979. "Risk measurement when shares are subject to infrequent trading," Journal of Financial Economics, Elsevier, vol. 7(2), pages 197-226, June.
    30. Guidolin, Massimo & Timmermann, Allan, 2006. "Term structure of risk under alternative econometric specifications," Journal of Econometrics, Elsevier, vol. 131(1-2), pages 285-308.
    31. Kraus, Alan & Litzenberger, Robert, 1983. "On the Distributional Conditions for a Consumption-Oriented Three Moment CAPM," Journal of Finance, American Finance Association, vol. 38(5), pages 1381-1391, December.
    32. Fama, Eugene F & MacBeth, James D, 1973. "Risk, Return, and Equilibrium: Empirical Tests," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 607-636, May-June.
    33. Jegadeesh, Narasimhan & Titman, Sheridan, 1995. "Overreaction, Delayed Reaction, and Contrarian Profits," The Review of Financial Studies, Society for Financial Studies, vol. 8(4), pages 973-993.
    34. Shlomo Benartzi & Richard H. Thaler, 1995. "Myopic Loss Aversion and the Equity Premium Puzzle," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 110(1), pages 73-92.
    35. Lambert, M. & Hübner, G., 2013. "Comoment risk and stock returns," Journal of Empirical Finance, Elsevier, vol. 23(C), pages 191-205.
    36. Langlois, Hugues, 2020. "Measuring skewness premia," Journal of Financial Economics, Elsevier, vol. 135(2), pages 399-424.
    37. Campbell R. Harvey & Akhtar Siddique, 2000. "Conditional Skewness in Asset Pricing Tests," Journal of Finance, American Finance Association, vol. 55(3), pages 1263-1295, June.
    38. Kraus, Alan & Litzenberger, Robert H, 1976. "Skewness Preference and the Valuation of Risk Assets," Journal of Finance, American Finance Association, vol. 31(4), pages 1085-1100, September.
    39. Hawawini, Gabriel A., 1980. "An Analytical Examination of the Intervaling Effect on Skewness and Other Moments," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 15(5), pages 1121-1127, December.
    40. Robert F. Engle, 2011. "Long-Term Skewness and Systemic Risk," Journal of Financial Econometrics, Oxford University Press, vol. 9(3), pages 437-468, Summer.
    41. Cohen, Kalman J, et al, 1980. "Implications of Microstructure Theory for Empirical Research on Stock Price Behavior," Journal of Finance, American Finance Association, vol. 35(2), pages 249-257, May.
    42. X. Frank Zhang, 2006. "Information Uncertainty and Stock Returns," Journal of Finance, American Finance Association, vol. 61(1), pages 105-137, February.
    43. Jungshik Hur & Vivek Singh, 2017. "Cross-Section of Expected Returns and Extreme Returns: The Role of Investor Attention and Risk Preferences," Financial Management, Financial Management Association International, vol. 46(2), pages 409-431, June.
    44. Kris Boudt & Dries Cornilly & Tim Verdonck, 2020. "A Coskewness Shrinkage Approach for Estimating the Skewness of Linear Combinations of Random Variables [International Asset Allocation with Regime Shifts]," Journal of Financial Econometrics, Society for Financial Econometrics, vol. 18(1), pages 1-23.
    45. Kewei Hou & Tobias J. Moskowitz, 2005. "Market Frictions, Price Delay, and the Cross-Section of Expected Returns," The Review of Financial Studies, Society for Financial Studies, vol. 18(3), pages 981-1020.
    46. repec:bla:jfinan:v:43:y:1988:i:2:p:309-25 is not listed on IDEAS
    47. Thierry Post & Miloš Kopa, 2017. "Portfolio Choice Based on Third-Degree Stochastic Dominance," Management Science, INFORMS, vol. 63(10), pages 3381-3392, October.
    48. Brailsford, Timothy J. & Faff, Robert W., 1997. "Testing the conditional CAPM and the effect of intervaling: A note," Pacific-Basin Finance Journal, Elsevier, vol. 5(5), pages 527-537, December.
    49. Thierry Post & Haim Levy, 2005. "Does Risk Seeking Drive Stock Prices? A Stochastic Dominance Analysis of Aggregate Investor Preferences and Beliefs," The Review of Financial Studies, Society for Financial Studies, vol. 18(3), pages 925-953.
    50. Minh Phuong Doan & Chien-Ting Lin & Michael Chng & David Gallagher, 2014. "Higher moments and beta asymmetry: evidence from Australia," Accounting and Finance, Accounting and Finance Association of Australia and New Zealand, vol. 54(3), pages 779-807, September.
    51. Cohen, Kalman J. & Hawawini, Gabriel A. & Maier, Steven F. & Schwartz, Robert A. & Whitcomb, David K., 1983. "Friction in the trading process and the estimation of systematic risk," Journal of Financial Economics, Elsevier, vol. 12(2), pages 263-278, August.
    52. Lionel Martellini & Volker Ziemann, 2010. "Improved Estimates of Higher-Order Comoments and Implications for Portfolio Selection," The Review of Financial Studies, Society for Financial Studies, vol. 23(4), pages 1467-1502, April.
    53. Kim, Tae-Hwan & White, Halbert, 2004. "On more robust estimation of skewness and kurtosis," Finance Research Letters, Elsevier, vol. 1(1), pages 56-73, March.
    54. Scott, Robert C & Horvath, Philip A, 1980. "On the Direction of Preference for Moments of Higher Order Than the Variance," Journal of Finance, American Finance Association, vol. 35(4), pages 915-919, September.
    55. Massimo Guidolin & Allan Timmermann, 2008. "International asset allocation under regime switching, skew, and kurtosis preferences," The Review of Financial Studies, Society for Financial Studies, vol. 21(2), pages 889-935, April.
    56. McLean, R. David, 2010. "Idiosyncratic Risk, Long-Term Reversal, and Momentum," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 45(4), pages 883-906, August.
    57. Robert F. Dittmar, 2002. "Nonlinear Pricing Kernels, Kurtosis Preference, and Evidence from the Cross Section of Equity Returns," Journal of Finance, American Finance Association, vol. 57(1), pages 369-403, February.
    58. Gencay, Ramazan & Selcuk, Faruk & Whitcher, Brandon, 2005. "Multiscale systematic risk," Journal of International Money and Finance, Elsevier, vol. 24(1), pages 55-70, February.
    59. Lau, Hon-Shiang & Wingender, John R, 1989. "The Analytics of the Intervaling Effect on Skewness and Kurtosis of Stock Returns," The Financial Review, Eastern Finance Association, vol. 24(2), pages 215-233, May.
    60. Kalev, Petko S. & Saxena, Konark & Zolotoy, Leon, 2019. "Coskewness Risk Decomposition, Covariation Risk, and Intertemporal Asset Pricing," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 54(1), pages 335-368, February.
    61. Eric Jacquier & Cédric Okou, 2014. "Disentangling Continuous Volatility from Jumps in Long-Run Risk–Return Relationships," Journal of Financial Econometrics, Oxford University Press, vol. 12(3), pages 544-583.
    62. Conlon, Thomas & Cotter, John & Gençay, Ramazan, 2018. "Long-run wavelet-based correlation for financial time series," European Journal of Operational Research, Elsevier, vol. 271(2), pages 676-696.
    63. Corhay, Albert, 1992. "The intervalling effect bias in beta: A note," Journal of Banking & Finance, Elsevier, vol. 16(1), pages 61-73, February.
    64. Rubinstein, Mark E., 1973. "The Fundamental Theorem of Parameter-Preference Security Valuation," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 8(1), pages 61-69, January.
    65. 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.
    66. William F. Sharpe, 1964. "Capital Asset Prices: A Theory Of Market Equilibrium Under Conditions Of Risk," Journal of Finance, American Finance Association, vol. 19(3), pages 425-442, September.
    67. Badrinath, S G & Kale, Jayant R & Noe, Thomas H, 1995. "Of Shepherds, Sheep, and the Cross-autocorrelations in Equity Returns," The Review of Financial Studies, Society for Financial Studies, vol. 8(2), pages 401-430.
    68. Smith, Daniel R., 2007. "Conditional coskewness and asset pricing," Journal of Empirical Finance, Elsevier, vol. 14(1), pages 91-119, January.
    69. Hawawini, Gabriel A., 1980. "Intertemporal Cross-Dependence in Securities Daily Returns and the Short-Run Intervaling Effect on Systematic Risk," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 15(1), pages 139-149, March.
    70. Wang, Jying-Nan & Yeh, Jin-Huei & Cheng, Nick Ying-Pin, 2011. "How accurate is the square-root-of-time rule in scaling tail risk: A global study," Journal of Banking & Finance, Elsevier, vol. 35(5), pages 1158-1169, May.
    71. K. J. Arrow, 1964. "The Role of Securities in the Optimal Allocation of Risk-bearing," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 31(2), pages 91-96.
    72. Todd Mitton & Keith Vorkink, 2007. "Equilibrium Underdiversification and the Preference for Skewness," The Review of Financial Studies, Society for Financial Studies, vol. 20(4), pages 1255-1288.
    73. Potì, Valerio & Wang, DengLi, 2010. "The coskewness puzzle," Journal of Banking & Finance, Elsevier, vol. 34(8), pages 1827-1838, August.
    74. Hon-Shiang Lau & John R. Wingender & Amy Hing-Ling Lau, 1989. "On Estimating Skewness in Stock Returns," Management Science, INFORMS, vol. 35(9), pages 1139-1142, September.
    75. Brennan, Michael J & Jegadeesh, Narasimhan & Swaminathan, Bhaskaran, 1993. "Investment Analysis and the Adjustment of Stock Prices to Common Information," The Review of Financial Studies, Society for Financial Studies, vol. 6(4), pages 799-824.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Lambert, M. & Hübner, G., 2013. "Comoment risk and stock returns," Journal of Empirical Finance, Elsevier, vol. 23(C), pages 191-205.
    2. Adam Zaremba & Jacob Koby Shemer, 2018. "Price-Based Investment Strategies," Springer Books, Springer, number 978-3-319-91530-2, December.
    3. Richard Mawulawoe Ahadzie & Nagaratnam Jeyasreedharan, 2024. "Higher‐order moments and asset pricing in the Australian stock market," Accounting and Finance, Accounting and Finance Association of Australia and New Zealand, vol. 64(1), pages 75-128, March.
    4. Vendrame, Vasco & Tucker, Jon & Guermat, Cherif, 2016. "Some extensions of the CAPM for individual assets," International Review of Financial Analysis, Elsevier, vol. 44(C), pages 78-85.
    5. Hollstein, Fabian & Nguyen, Duc Binh Benno & Prokopczuk, Marcel, 2019. "Asset prices and “the devil(s) you know”," Journal of Banking & Finance, Elsevier, vol. 105(C), pages 20-35.
    6. Kostakis, Alexandros & Muhammad, Kashif & Siganos, Antonios, 2012. "Higher co-moments and asset pricing on London Stock Exchange," Journal of Banking & Finance, Elsevier, vol. 36(3), pages 913-922.
    7. Masih, Mansur & Alzahrani, Mohammed & Al-Titi, Omar, 2010. "Systematic risk and time scales: New evidence from an application of wavelet approach to the emerging Gulf stock markets," International Review of Financial Analysis, Elsevier, vol. 19(1), pages 10-18, January.
    8. Melisa Ozdamar & Levent Akdeniz & Ahmet Sensoy, 2021. "Lottery-like preferences and the MAX effect in the cryptocurrency market," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 7(1), pages 1-27, December.
    9. Doan, Phuong & Lin, Chien-Ting & Zurbruegg, Ralf, 2010. "Pricing assets with higher moments: Evidence from the Australian and us stock markets," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 20(1), pages 51-67, February.
    10. Harris, Richard D.F. & Nguyen, Linh H. & Stoja, Evarist, 2019. "Systematic extreme downside risk," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 61(C), pages 128-142.
    11. Zhao, Xiaojuan & Wang, Ye & Liu, Weiyi, 2024. "Someone like you: Lottery-like preference and the cross-section of expected returns in the cryptocurrency market," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 91(C).
    12. Chabi-Yo, Fousseni & Ruenzi, Stefan & Weigert, Florian, 2018. "Crash Sensitivity and the Cross Section of Expected Stock Returns," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 53(3), pages 1059-1100, June.
    13. Avanidhar Subrahmanyam, 2010. "The Cross†Section of Expected Stock Returns: What Have We Learnt from the Past Twenty†Five Years of Research?," European Financial Management, European Financial Management Association, vol. 16(1), pages 27-42, January.
    14. I-Hsuan Ethan Chiang, 2016. "Skewness And Coskewness In Bond Returns," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 39(2), pages 145-178, June.
    15. Sean A. Anthonisz & Tālis J. Putniņš, 2017. "Asset Pricing with Downside Liquidity Risks," Management Science, INFORMS, vol. 63(8), pages 2549-2572, August.
    16. Dheeraj Misra & Sushma Vishnani & Ankit Mehrotra, 2019. "Four-moment CAPM Model: Evidence from the Indian Stock Market," Journal of Emerging Market Finance, Institute for Financial Management and Research, vol. 18(1_suppl), pages 137-166, April.
    17. Gregory Connor & Lisa R. Goldberg & Robert A. Korajczyk, 2010. "Portfolio Risk Analysis," Economics Books, Princeton University Press, edition 1, number 9224.
    18. Huang, Tao & Li, Junye, 2019. "Option-Implied variance asymmetry and the cross-section of stock returns," Journal of Banking & Finance, Elsevier, vol. 101(C), pages 21-36.
    19. Jang, Jeewon & Kang, Jangkoo, 2017. "An intertemporal CAPM with higher-order moments," The North American Journal of Economics and Finance, Elsevier, vol. 42(C), pages 314-337.
    20. Zhong, Angel & Gray, Philip, 2016. "The MAX effect: An exploration of risk and mispricing explanations," Journal of Banking & Finance, Elsevier, vol. 65(C), pages 76-90.

    More about this item

    Keywords

    Co-skewness; The Horizon Effect; Intertemporal Correlation; Asset Pricing;
    All these keywords.

    JEL classification:

    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ucd:wpaper:202210. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Geary Tech (email available below). General contact details of provider: https://edirc.repec.org/data/geucdie.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.