IDEAS home Printed from https://ideas.repec.org/a/taf/eurjfi/v13y2007i6p503-522.html
   My bibliography  Save this article

Estimating Beta-Coefficients of German Stock Data: A Non-Parametric Approach

Author

Listed:
  • Maik Eisenbeiss
  • Goran Kauermann
  • Willi Semmler

Abstract

Although the consumption based asset pricing theory appears to be theoretically superior and more elegant than the beta pricing model, in practice the beta pricing model is more widely applied. Indeed, beta pricing models are one of the most widely adopted tools in financial analysis. They readily allow handling systematic risk as priced in financial assets. However, accurately estimating beta-coefficients is not as straightforward as implicitly suggested by Sharpe's standard market model, i.e. simply using the ordinary least-squares (OLS) regression. This is primarily because beta-coefficients cannot generally be assumed to be stable over time. In order to overcome this deficiency, we present and apply a non-parametric estimation technique that allows capturing this time effect and promises both more reliable estimates than obtained with an OLS regression as well as better manageability compared with the existing time-series approaches dealing with time-varying beta-coefficients. Estimation results for constant and time-varying betas are presented for portfolios of German industries.

Suggested Citation

  • Maik Eisenbeiss & Goran Kauermann & Willi Semmler, 2007. "Estimating Beta-Coefficients of German Stock Data: A Non-Parametric Approach," The European Journal of Finance, Taylor & Francis Journals, vol. 13(6), pages 503-522.
    • Handle: RePEc:taf:eurjfi:v:13:y:2007:i:6:p:503-522
    DOI: 10.1080/13518470701201405
    as

    Download full text from publisher

    File URL: http://www.tandfonline.com/doi/abs/10.1080/13518470701201405
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/13518470701201405?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. Theobald, Michael, 1981. "Beta Stationarity and Estimation Period: Some Analytical Results," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 16(5), pages 747-757, December.
    2. Robert D. Brooks & Robert W. Faff & Michael D. McKenzie, 1998. "Time†Varying Beta Risk of Australian Industry Portfolios: A Comparison of Modelling Techniques," Australian Journal of Management, Australian School of Business, vol. 23(1), pages 1-22, June.
    3. R.W. Faff & R.D. Brooks, 1998. "Time‐varying Beta Risk for Australian Industry Portfolios: An Exploratory Analysis," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 25(5‐6), pages 721-745, June.
    4. Schwert, G William & Seguin, Paul J, 1990. "Heteroskedasticity in Stock Returns," Journal of Finance, American Finance Association, vol. 45(4), pages 1129-1155, September.
    5. S. N. Wood, 2000. "Modelling and smoothing parameter estimation with multiple quadratic penalties," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 62(2), pages 413-428.
    6. Rosenberg, Barr & McKibben, Walt, 1973. "The Prediction of Systematic and Specific Risk in Common Stocks," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 8(2), pages 317-333, March.
    7. Black, A. & Fraser, P. & Power, D., 1992. "UK unit trust performance 1980-1989: A passive time-varying approach," Journal of Banking & Finance, Elsevier, vol. 16(5), pages 1015-1033, September.
    8. Alexander, Gordon J. & Chervany, Norman L., 1980. "On the Estimation and Stability of Beta," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 15(1), pages 123-137, March.
    9. Rafael La Porta & Florencio Lopez‐de‐Silanes & Andrei Shleifer & Robert W. Vishny, 2000. "Agency Problems and Dividend Policies around the World," Journal of Finance, American Finance Association, vol. 55(1), pages 1-33, February.
    10. Roenfeldt, Rodney L. & Griepentrog, Gary L. & Pflaum, Christopher C., 1978. "Further Evidence on the Stationarity of Beta Coefficients," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 13(1), pages 117-121, March.
    11. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
    12. Willi Semmler, 2011. "Asset Prices, Booms and Recessions," Springer Books, Springer, number 978-3-642-20680-1, June.
    13. Tarn Duong & Martin L. Hazelton, 2005. "Cross‐validation Bandwidth Matrices for Multivariate Kernel Density Estimation," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 32(3), pages 485-506, September.
    14. Collins, Daniel W & Ledolter, Johannes & Rayburn, Judy Dawson, 1987. "Some Further Evidence on the Stochastic Properties of Systematic Risk," The Journal of Business, University of Chicago Press, vol. 60(3), pages 425-448, July.
    15. McClain, Katherine T. & Humphreys, H. Brett & Boscan, Atahualpa, 1996. "Measuring risk in the mining sector with ARCH models with important observations on sample size," Journal of Empirical Finance, Elsevier, vol. 3(4), pages 369-391, December.
    16. Bollerslev, Tim, 1990. "Modelling the Coherence in Short-run Nominal Exchange Rates: A Multivariate Generalized ARCH Model," The Review of Economics and Statistics, MIT Press, vol. 72(3), pages 498-505, August.
    17. Ruppert,David & Wand,M. P. & Carroll,R. J., 2003. "Semiparametric Regression," Cambridge Books, Cambridge University Press, number 9780521780506, January.
    18. Bos, T & Newbold, P, 1984. "An Empirical Investigation of the Possibility of Stochastic Systematic Risk in the Market Model," The Journal of Business, University of Chicago Press, vol. 57(1), pages 35-41, January.
    19. Robert W. Faff & David Hillier & Joseph Hillier, 2000. "Time Varying Beta Risk: An Analysis of Alternative Modelling Techniques," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 27(5‐6), pages 523-554, June.
    20. Göran Kauermann & J. D. Opsomer, 2003. "Local Likelihood Estimation in Generalized Additive Models," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 30(2), pages 317-337, June.
    21. Fabozzi, Frank J. & Francis, Jack Clark, 1978. "Beta as a Random Coefficient," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 13(1), pages 101-116, March.
    22. Koutmos, Gregory & Lee, Unro & Theodossiu, Panayiotis, 1994. "Time-varying betas and volatility persistence in International Stock markets," Journal of Economics and Business, Elsevier, vol. 46(2), pages 101-112, May.
    23. Abell, John D. & Krueger, Thomas M., 1989. "Macroeconomic influences on beta," Journal of Economics and Business, Elsevier, vol. 41(2), pages 185-193, May.
    24. K. Giannopoulos, 1995. "Estimating the time Varying Components of international stock markets' risk," The European Journal of Finance, Taylor & Francis Journals, vol. 1(2), pages 129-164.
    25. Altman, Edward I & Jacquillat, Bertrand C & Levasseur, Michel, 1974. "Comparative Analysis of Risk Measures: France and the United States," Journal of Finance, American Finance Association, vol. 29(5), pages 1495-1511, December.
    26. Ruppert,David & Wand,M. P. & Carroll,R. J., 2003. "Semiparametric Regression," Cambridge Books, Cambridge University Press, number 9780521785167, January.
    27. Shanken, Jay, 1990. "Intertemporal asset pricing : An Empirical Investigation," Journal of Econometrics, Elsevier, vol. 45(1-2), pages 99-120.
    28. Braun, Phillip A & Nelson, Daniel B & Sunier, Alain M, 1995. "Good News, Bad News, Volatility, and Betas," Journal of Finance, American Finance Association, vol. 50(5), pages 1575-1603, December.
    29. 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.
    30. Göran Kauermann & Gerhard Tutz, 2001. "Testing generalized linear and semiparametric models against smooth alternatives," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 63(1), pages 147-166.
    31. Eugene F. Fama & Kenneth R. French, 2004. "The Capital Asset Pricing Model: Theory and Evidence," Journal of Economic Perspectives, American Economic Association, vol. 18(3), pages 25-46, Summer.
    32. Blume, Marshall E, 1971. "On the Assessment of Risk," Journal of Finance, American Finance Association, vol. 26(1), pages 1-10, March.
    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. Anders Johansson, 2009. "An analysis of dynamic risk in the Greater China equity markets," Journal of Chinese Economic and Business Studies, Taylor & Francis Journals, vol. 7(3), pages 299-320.
    2. Magdalena Mikolajek-Gocejna, 2021. "Estimation, Instability, and Non-Stationarity of Beta Coefficients for Twenty-four Emerging Markets in 2005-2021," European Research Studies Journal, European Research Studies Journal, vol. 0(4), pages 370-395.
    3. Willi Semmler, 2011. "Asset Prices, Booms and Recessions," Springer Books, Springer, number 978-3-642-20680-1, June.
    4. repec:ehu:biltok:5581 is not listed on IDEAS
    5. Alan T. K. Wan & Jinhong You & Riquan Zhang, 2016. "A Seemingly Unrelated Nonparametric Additive Model with Autoregressive Errors," Econometric Reviews, Taylor & Francis Journals, vol. 35(5), pages 894-928, May.
    6. Асатуров К.Г., 2015. "Динамические Модели Систематического Риска: Сравнение На Примере Индийского Фондового Рынка," Журнал Экономика и математические методы (ЭММ), Центральный Экономико-Математический Институт (ЦЭМИ), vol. 51(4), pages 59-75, октябрь.
    7. Magdalena Mikolajek-Gocejna, 2022. "Systematic Risk of ESG Companies Listed on the Polish Capital Market in 2019-2022," European Research Studies Journal, European Research Studies Journal, vol. 0(2), pages 597-615.
    8. Christoph Wegener & Tobias Basse, 2019. "The Stability of Factor Sensitivities of German Stock Market Sector Indices: Empirical Evidence and Some Thoughts about Practical Implications," JRFM, MDPI, vol. 12(3), pages 1-10, August.
    9. M. V. Esteban & E. Ferreira & S. Orbe-Mandaluniz, 2015. "Nonparametric methods for estimating and testing for constant betas in asset pricing models," Applied Economics, Taylor & Francis Journals, vol. 47(25), pages 2577-2607, May.

    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. Zhou, Jian, 2013. "Conditional market beta for REITs: A comparison of modeling techniques," Economic Modelling, Elsevier, vol. 30(C), pages 196-204.
    2. Taufiq Choudhry & Hao Wu, 2008. "Forecasting ability of GARCH vs Kalman filter method: evidence from daily UK time-varying beta," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 27(8), pages 670-689.
    3. McKenzie, Michael D. & Brooks, Robert D. & Faff, Robert W. & Ho, Yew Kee, 2000. "Exploring the economic rationale of extremes in GARCH generated betas The case of U.S. banks," The Quarterly Review of Economics and Finance, Elsevier, vol. 40(1), pages 85-106.
    4. Robert D. Brooks & Robert W. Faff & Michael D. McKenzie, 1998. "Time†Varying Beta Risk of Australian Industry Portfolios: A Comparison of Modelling Techniques," Australian Journal of Management, Australian School of Business, vol. 23(1), pages 1-22, June.
    5. Sascha Mergner & Jan Bulla, 2008. "Time-varying beta risk of Pan-European industry portfolios: A comparison of alternative modeling techniques," The European Journal of Finance, Taylor & Francis Journals, vol. 14(8), pages 771-802.
    6. Ortas, E. & Salvador, M. & Moneva, J.M., 2015. "Improved beta modeling and forecasting: An unobserved component approach with conditional heteroscedastic disturbances," The North American Journal of Economics and Finance, Elsevier, vol. 31(C), pages 27-51.
    7. Anders Johansson, 2009. "Stochastic volatility and time-varying country risk in emerging markets," The European Journal of Finance, Taylor & Francis Journals, vol. 15(3), pages 337-363.
    8. Anders Johansson, 2009. "An analysis of dynamic risk in the Greater China equity markets," Journal of Chinese Economic and Business Studies, Taylor & Francis Journals, vol. 7(3), pages 299-320.
    9. R. D. Brooks & R. W. Faff & M. McKenzie, 2002. "Time varying country risk: an assessment of alternative modelling techniques," The European Journal of Finance, Taylor & Francis Journals, vol. 8(3), pages 249-274.
    10. Асатуров К.Г., 2015. "Динамические Модели Систематического Риска: Сравнение На Примере Индийского Фондового Рынка," Журнал Экономика и математические методы (ЭММ), Центральный Экономико-Математический Институт (ЦЭМИ), vol. 51(4), pages 59-75, октябрь.
    11. Dimitrios Dadakas & Christos Karpetis & Athanasios Fassas & Erotokritos Varelas, 2016. "Sectoral Differences in the Choice of the Time Horizon during Estimation of the Unconditional Stock Beta," IJFS, MDPI, vol. 4(4), pages 1-13, December.
    12. Stefano D'Addona & Mattia Ciprian, 2007. "Time Varying Sensitivities On A Grid Architecture," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 10(02), pages 307-329.
    13. Hisham Al Refai & Gazi Mainul Hassan, 2018. "The Impact of Market-wide Volatility on Time-varying Risk: Evidence from Qatar Stock Exchange," Journal of Emerging Market Finance, Institute for Financial Management and Research, vol. 17(2_suppl), pages 239-258, August.
    14. N. Groenewold & P. Fraser, 1999. "Forecasting Beta: How well does the 'five year rule of thumb' do?," Economics Discussion / Working Papers 99-01, The University of Western Australia, Department of Economics.
    15. Yuenan Wang & Amalia Di Iorio, 2007. "The cross-sectional relationship between stock returns and domestic and global factors in the Chinese A-share market," Review of Quantitative Finance and Accounting, Springer, vol. 29(2), pages 181-203, August.
    16. Marshall, Andrew & Maulana, Tubagus & Tang, Leilei, 2009. "The estimation and determinants of emerging market country risk and the dynamic conditional correlation GARCH model," International Review of Financial Analysis, Elsevier, vol. 18(5), pages 250-259, December.
    17. Ortas, Eduardo & Moneva, José M. & Salvador, Manuel, 2012. "Does socially responsible investment equity indexes in emerging markets pay off? Evidence from Brazil," Emerging Markets Review, Elsevier, vol. 13(4), pages 581-597.
    18. Antypas, Antonios & Caporale, Guglielmo Maria & Kourogenis, Nikolaos & Pittis, Nikitas, 2020. "Estimation of conditional asset pricing models with integrated variables in the beta specification," Research in International Business and Finance, Elsevier, vol. 52(C).
    19. Taufiq Choudhry, 2005. "September 11 and time-varying beta of United States companies," Applied Financial Economics, Taylor & Francis Journals, vol. 15(17), pages 1227-1242.
    20. Buckland, Roger & Fraser, Patricia, 2002. "The scale and patterns of abnormal returns to equity investment in UK electricity distribution," Global Finance Journal, Elsevier, vol. 13(1), pages 39-62.

    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:taf:eurjfi:v:13:y:2007:i:6:p:503-522. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/REJF20 .

    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.