IDEAS home Printed from https://ideas.repec.org/a/eee/econom/v184y2015i1p13-36.html
   My bibliography  Save this article

A semiparametric single index model with heterogeneous impacts on an unobserved variable

Author

Listed:
  • Lee, Jiyon

Abstract

This paper proposes a single-index semiparametric model in which the unknown function has cross-sectional unit specific weights. The initial motivation comes from the search for a better measure of liquidity in stock trading which is captured by the unknown function here. The model is estimated by semiparametric least squares developed by Ichimura (1993) and Ichimura and Lee (1991). The proposed technique differs from theirs in at least two aspects. First, I show that the estimator has desirable asymptotic properties under less restrictive assumptions on data. Second, the form of the unknown function is fixed; however, the coefficients are allowed to differ across the cross-sectional units.

Suggested Citation

  • Lee, Jiyon, 2015. "A semiparametric single index model with heterogeneous impacts on an unobserved variable," Journal of Econometrics, Elsevier, vol. 184(1), pages 13-36.
    • Handle: RePEc:eee:econom:v:184:y:2015:i:1:p:13-36
    DOI: 10.1016/j.jeconom.2014.08.001
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304407614001742
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jeconom.2014.08.001?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Gregory Connor & Matthias Hagmann & Oliver Linton, 2012. "Efficient Semiparametric Estimation of the Fama–French Model and Extensions," Econometrica, Econometric Society, vol. 80(2), pages 713-754, March.
    2. Whitney K. Newey & Fushing Hsieh & James M. Robins, 2004. "Twicing Kernels and a Small Bias Property of Semiparametric Estimators," Econometrica, Econometric Society, vol. 72(3), pages 947-962, May.
    3. Wang Q. & Linton O. & Hardle W., 2004. "Semiparametric Regression Analysis With Missing Response at Random," Journal of the American Statistical Association, American Statistical Association, vol. 99, pages 334-345, January.
    4. 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.
    5. Amihud, Yakov & Mendelson, Haim, 1986. "Asset pricing and the bid-ask spread," Journal of Financial Economics, Elsevier, vol. 17(2), pages 223-249, December.
    6. Masry, Elias, 1996. "Multivariate regression estimation local polynomial fitting for time series," Stochastic Processes and their Applications, Elsevier, vol. 65(1), pages 81-101, December.
    7. Connor, Gregory & Linton, Oliver, 2007. "Semiparametric estimation of a characteristic-based factor model of common stock returns," Journal of Empirical Finance, Elsevier, vol. 14(5), pages 694-717, December.
    8. Li, Degui & Lu, Zudi & Linton, Oliver, 2012. "Local Linear Fitting Under Near Epoch Dependence: Uniform Consistency With Convergence Rates," Econometric Theory, Cambridge University Press, vol. 28(5), pages 935-958, October.
    9. Yatchew,Adonis, 2003. "Semiparametric Regression for the Applied Econometrician," Cambridge Books, Cambridge University Press, number 9780521812832, September.
    10. Hansen, Bruce E., 2008. "Uniform Convergence Rates For Kernel Estimation With Dependent Data," Econometric Theory, Cambridge University Press, vol. 24(3), pages 726-748, June.
    11. Dehling, Herold & Wendler, Martin, 2010. "Central limit theorem and the bootstrap for U-statistics of strongly mixing data," Journal of Multivariate Analysis, Elsevier, vol. 101(1), pages 126-137, January.
    12. 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.
    13. 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.
    14. Newey, Whitney & West, Kenneth, 2014. "A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance matrix," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 33(1), pages 125-132.
    15. Liu, Weimin, 2006. "A liquidity-augmented capital asset pricing model," Journal of Financial Economics, Elsevier, vol. 82(3), pages 631-671, December.
    16. Klein, Roger & Shen, Chan, 2010. "Bias Corrections In Testing And Estimating Semiparametric, Single Index Models," Econometric Theory, Cambridge University Press, vol. 26(6), pages 1683-1718, December.
    17. Datar, Vinay T. & Y. Naik, Narayan & Radcliffe, Robert, 1998. "Liquidity and stock returns: An alternative test," Journal of Financial Markets, Elsevier, vol. 1(2), pages 203-219, August.
    18. Elias Masry, 1996. "Multivariate Local Polynomial Regression For Time Series:Uniform Strong Consistency And Rates," Journal of Time Series Analysis, Wiley Blackwell, vol. 17(6), pages 571-599, November.
    19. Lu, Zudi & Linton, Oliver, 2007. "Local Linear Fitting Under Near Epoch Dependence," Econometric Theory, Cambridge University Press, vol. 23(1), pages 37-70, February.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Suli Cheng & Jianbao Chen, 2021. "Estimation of partially linear single-index spatial autoregressive model," Statistical Papers, Springer, vol. 62(1), pages 495-531, February.
    2. Chaohua Dong & Jiti Gao & Bin Peng, 2016. "Another Look at Single-Index Models Based on Series Estimation," Monash Econometrics and Business Statistics Working Papers 19/16, Monash University, Department of Econometrics and Business Statistics.

    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. Thomas Paul & Thomas Walther & André Küster-Simic, 2022. "Empirical analysis of the illiquidity premia of German real estate securities," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 36(2), pages 203-260, June.
    2. Stereńczak, Szymon & Zaremba, Adam & Umar, Zaghum, 2020. "Is there an illiquidity premium in frontier markets?," Emerging Markets Review, Elsevier, vol. 42(C).
    3. Hilal Anwar Butt & Nader Shahzad Virk, 2015. "Liquidity and Asset prices: An Empirical Investigation of the Nordic Stock Markets," European Financial Management, European Financial Management Association, vol. 21(4), pages 672-705, September.
    4. Lischewski, Judith & Voronkova, Svitlana, 2012. "Size, value and liquidity. Do They Really Matter on an Emerging Stock Market?," Emerging Markets Review, Elsevier, vol. 13(1), pages 8-25.
    5. Lin, Chaonan & Ko, Kuan-Cheng & Lin, Lin & Yang, Nien-Tzu, 2017. "Price limits and the value premium in the Taiwan stock market," Pacific-Basin Finance Journal, Elsevier, vol. 41(C), pages 26-45.
    6. Hearn, Bruce & Piesse, Jenifer & Strange, Roger, 2010. "Market liquidity and stock size premia in emerging financial markets: The implications for foreign investment," International Business Review, Elsevier, vol. 19(5), pages 489-501, October.
    7. Li, Xiafei & Luo, Di, 2019. "Financial constraints, stock liquidity, and stock returns," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 63(C).
    8. Autore, Don M. & Billingsley, Randall S. & Kovacs, Tunde, 2011. "The 2008 short sale ban: Liquidity, dispersion of opinion, and the cross-section of returns of US financial stocks," Journal of Banking & Finance, Elsevier, vol. 35(9), pages 2252-2266, September.
    9. Hearn, Bruce, 2010. "Time varying size and liquidity effects in South Asian equity markets: A study of blue-chip industry stocks," International Review of Financial Analysis, Elsevier, vol. 19(4), pages 242-257, September.
    10. Daniel Chai & Robert Faff & Philip Gharghori, 2013. "Liquidity in asset pricing: New Australian evidence using low-frequency data," Australian Journal of Management, Australian School of Business, vol. 38(2), pages 375-400, August.
    11. Bazgour, Tarik & Heuchenne, Cedric & Sougné, Danielle, 2016. "Conditional portfolio allocation: Does aggregate market liquidity matter?," Journal of Empirical Finance, Elsevier, vol. 35(C), pages 110-135.
    12. Alquist, Ron, 2010. "How important is liquidity risk for sovereign bond risk premia? Evidence from the London stock exchange," Journal of International Economics, Elsevier, vol. 82(2), pages 219-229, November.
    13. Zhang, Yiming & Wang, Guanying, 2020. "Compensation for illiquidity in China: Evidence from an alternative measure," The North American Journal of Economics and Finance, Elsevier, vol. 53(C).
    14. Cakici, Nusret & Zaremba, Adam, 2021. "Liquidity and the cross-section of international stock returns," Journal of Banking & Finance, Elsevier, vol. 127(C).
    15. Dong, Liang & Yu, Bo & Qin, Zhenjiang & Lam, Keith S.K., 2024. "Liquidity risk and expected returns in China’s stock market: A multidimensional liquidity approach," Research in International Business and Finance, Elsevier, vol. 69(C).
    16. Hearn, Bruce, 2011. "Modelling size and liquidity in North African industrial sectors," Emerging Markets Review, Elsevier, vol. 12(1), pages 21-46, March.
    17. Nina Karnaukh & Angelo Ranaldo & Paul Söderlind, 2015. "Understanding FX Liquidity," The Review of Financial Studies, Society for Financial Studies, vol. 28(11), pages 3073-3108.
    18. Yakov Amihud & Haim Mendelson, 2015. "The Pricing of Illiquidity as a Characteristic and as Risk," Multinational Finance Journal, Multinational Finance Journal, vol. 19(3), pages 149-168, September.
    19. Márcio André Veras Machado & Otávio Ribeiro de Medeiros, 2012. "Does the liquidity effect exist in the brazilian stock market?," Brazilian Business Review, Fucape Business School, vol. 9(4), pages 27-50, October.
    20. Acharya, Viral V. & Pedersen, Lasse Heje, 2005. "Asset pricing with liquidity risk," Journal of Financial Economics, Elsevier, vol. 77(2), pages 375-410, August.

    More about this item

    Keywords

    Semiparametric least squares; Capital asset pricing; Single index;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

    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:eee:econom:v:184:y:2015:i:1:p:13-36. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jeconom .

    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.