IDEAS home Printed from https://ideas.repec.org/a/cys/ecocyb/v50y2016i3p211-228.html
   My bibliography  Save this article

Higher Order Adaptive Kalman Filter For Time Varying Alpha And Cross Market Beta Estimation In Indian Market

Author

Listed:
  • Atanu DAS

    (Department of CSE, Netaji Subhash Engineering College Kolkata, INDIA)

Abstract

First order Adaptive Kalman Filter (AKF) were successful for market risk beta estimation to accommodate the adaptive parameters better in a time varying CAPM. This paper presents a new formulation of a noise covariance adaptation based second and third order AKF for joint estimation of alpha (risk- free), co-incidental and cross market risks (betas) components of market returns in a “two factor” CAPM. Investigations reveal that the higher order AKFs perform as good as Kalman filter in spite of flexibility in the time varying noise covariance.

Suggested Citation

  • Atanu DAS, 2016. "Higher Order Adaptive Kalman Filter For Time Varying Alpha And Cross Market Beta Estimation In Indian Market," ECONOMIC COMPUTATION AND ECONOMIC CYBERNETICS STUDIES AND RESEARCH, Faculty of Economic Cybernetics, Statistics and Informatics, vol. 50(3), pages 211-228.
    • Handle: RePEc:cys:ecocyb:v:50:y:2016:i:3:p:211-228
    as

    Download full text from publisher

    File URL: ftp://www.eadr.ro/RePEc/cys/ecocyb_pdf/ecocyb3_2016p211-228.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Sunder, Shyam, 1980. "Stationarity of Market Risk: Random Coefficients Tests for Individual Stocks," Journal of Finance, American Finance Association, vol. 35(4), pages 883-896, September.
    2. Merton, Robert C, 1973. "An Intertemporal Capital Asset Pricing Model," Econometrica, Econometric Society, vol. 41(5), pages 867-887, September.
    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. Ewa Feder-Sempach & Piotr Szczepocki & Wiesław Dębski, 2023. "What if beta is not stable? Applying the Kalman filter to risk estimates of top US companies over the long time horizon," Bank i Kredyt, Narodowy Bank Polski, vol. 54(1), pages 25-44.

    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. 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.
    2. Gwangheon Hong & Sudipto Sarkar, 2007. "Equity Systematic Risk (Beta) and Its Determinants," Contemporary Accounting Research, John Wiley & Sons, vol. 24(2), pages 423-466, June.
    3. Horváth, Lajos & Li, Bo & Li, Hemei & Liu, Zhenya, 2020. "Time-varying beta in functional factor models: Evidence from China," The North American Journal of Economics and Finance, Elsevier, vol. 54(C).
    4. 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).
    5. Evangelos Karanikas & George Leledakis & Elias Tzavalis, 2006. "Structural Changes in Expected Stock Returns Relationships: Evidence from ASE," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 33(9‐10), pages 1610-1628, November.
    6. Pradosh Simlai, 2009. "Stock returns, size, and book‐to‐market equity," Studies in Economics and Finance, Emerald Group Publishing Limited, vol. 26(3), pages 198-212, July.
    7. Bruno Feunou & Jean-Sébastien Fontaine & Abderrahim Taamouti & Roméo Tédongap, 2014. "Risk Premium, Variance Premium, and the Maturity Structure of Uncertainty," Review of Finance, European Finance Association, vol. 18(1), pages 219-269.
    8. Roger P. Bey, 1983. "The Market Model As An Appropriate Description Of The Stochastic Process Generating Security Returns," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 6(4), pages 275-288, December.
    9. Mr. Shaun K. Roache, 2008. "Commodities and the Market Price of Risk," IMF Working Papers 2008/221, International Monetary Fund.
    10. Johannes A. Skjeltorp & Bernt Arne Ødegaard, 2009. "The information content of market liquidity: An empirical analysis of liquidity at the Oslo Stock Exchange?," Working Paper 2009/26, Norges Bank.
    11. Auffret, Philippe, 2001. "An alternative unifying measure of welfare gains from risk-sharing," Policy Research Working Paper Series 2676, The World Bank.
    12. Li, Yuming, 1998. "Expected stock returns, risk premiums and volatilities of economic factors1," Journal of Empirical Finance, Elsevier, vol. 5(2), pages 69-97, June.
    13. 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.
    14. Andros Gregoriou & Christos Ioannidis, 2007. "Generalized method of moments and present value tests of the consumption-capital asset pricing model under transactions costs: evidence from the UK stock market," Empirical Economics, Springer, vol. 32(1), pages 19-39, April.
    15. Seok Young Hong & Oliver Linton, 2016. "Asymptotic properties of a Nadaraya-Watson type estimator for regression functions of in?finite order," CeMMAP working papers CWP53/16, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    16. Robert J. Shiller, 2005. "The Life-Cycle Personal Accounts Proposal for Social Security: An Evaluation," Cowles Foundation Discussion Papers 1504, Cowles Foundation for Research in Economics, Yale University.
    17. Mayank Goel & Suresh Kumar K., 2006. "A Risk-Sensitive Portfolio Optimisation Problem with Stochastic Interest Rate," Journal of Emerging Market Finance, Institute for Financial Management and Research, vol. 5(3), pages 263-282, December.
    18. 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.
    19. Hammami, Yacine & Bahri, Maha, 2016. "On the determinants of expected corporate bond returns in Tunisia," Research in International Business and Finance, Elsevier, vol. 38(C), pages 224-235.
    20. Yao, Jing & Yang, Yiwen, 2023. "Risk-return tradeoff and serial correlation in the Chinese stock market: A bailout-driven crash feedback hypothesis," Economic Modelling, Elsevier, vol. 129(C).

    More about this item

    Keywords

    Adaptive Kalman Filter; Time Varying Alpha; Cross Market Beta Estimation; Higher Order Filtering; Indian Market.;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • C58 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Financial Econometrics
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

    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:cys:ecocyb:v:50:y:2016:i:3:p:211-228. 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: Corina Saman (email available below). General contact details of provider: https://edirc.repec.org/data/feasero.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.