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Capital Asset Pricing Model with Interval Data

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Integrated Uncertainty in Knowledge Modelling and Decision Making (IUKM 2015)

Abstract

We used interval-valued data to predict stock returns rather than just point valued data. Specifically, we used these interval values in the classical capital asset pricing model to estimate the beta coefficient that represents the risk in the portfolios management analysis. We also use the method to obtain a point valued of asset returns from the interval-valued data to measure the sensitivity of the asset return and the market return. Finally, AIC criterion indicated that this approach can provide us better results than use the close price for prediction.

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References

  1. William, F.: Capital Asset Prices A Theory of Market Equilibrium Under Conditions of Risk. Journal of Finance 19(3), 425–442 (1964)

    Google Scholar 

  2. John, L.: The Valuation of Risk Assets and the Selection of Risky Investments in Stock. The Review of Economics and Statistics 47(1), 13–37 (1965)

    Article  MathSciNet  Google Scholar 

  3. Autchariyapanitkul, K., Chainam, S., Sriboonchitta, S.: Quantile regression under asymmetric Laplace distribution in capital asset pricing model. In: Huynh, V.-N., Kreinovich, V., Sriboonchitta, S., Suriya, K. (eds.) Econometrics of Risk, vol. 583, pp. 219–231. Springer, Heidelberg (2015)

    Google Scholar 

  4. Barnes, L.M., Hughes, W.A.: A Quantile Regression Analysis of the Cross Section of Stock Market Returns. Federal Reserve Bank of Boston, working paper (2002)

    Google Scholar 

  5. Chen, W.S.C., Lin, S., Yu, L.H.P.: Smooth Transition Quantile Capital Asset Pricing Models with Heteroscedasticity. Computational Economics 40, 19–48 (2012)

    Article  MATH  Google Scholar 

  6. Billard, L.: Dependencies and variation components of symbolic interval-valued data. In: Brito, P., Cucumel, G., Bertrand, P., de Carvalho, F. (eds.) Selected Contributions in Data Analysis and Classification. Studies in Classification, Data Analysis, and Knowledge Organization, pp. 3–12. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  7. de Carvalho, F.A.T., Lima Neto, E.A., Tenorio, C.P.: A new method to fit a linear regression model for interval-valued data. In: Biundo, S., Frühwirth, T., Palm, G. (eds.) KI 2004. LNCS (LNAI), vol. 3238, pp. 295–306. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  8. Cattaneo, M.E.G.V., Wiencierz, A.: Likelihood-based imprecise regression. International Journal of Approximate Reasoning 53, 1137–1154 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  9. Diamond, P.: Least square fitting of compact set-valued data. J. Math. Anal. Appl. 147, 531–544 (1990)

    Article  MathSciNet  Google Scholar 

  10. Gil, M.A., Lubiano, M.A., Montenegro, M., Lopez, M.T.: Least squares fitting of an affine function and strength of association for interval-valued data. Metrika 56, 97–101 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  11. Körner, R., Näther, W.: Linear regression with random fuzzy variables: extended classical estimates, best linear estimates, least squares estimates. Information Sciences 109, 95–118 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  12. Manski, C.F., Tamer, T.: Inference on regressions with interval data on a regressor or outcome. Econometrica 70, 519–546 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  13. Manski, C.F.: Partial Identification of Probability Distributions. Springer, New York (2003)

    MATH  Google Scholar 

  14. Neto, E.A.L., Carvalho, F.A.T.: Centre and range method for fitting a linear regression model to symbolic interval data. Computational Statistics and Data Analysis 52, 1500–1515 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  15. Sun, Y., Li, C.: Linear regression for interval-valued data: a new and comprehensive model, under review (2015). arXiv:1401.1831

  16. Mukherji, S.: The capital asset pricing model’s risk-free rate. International Journal of Business and Finance Research 5, 793–808 (2011)

    Google Scholar 

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Correspondence to Kittawit Autchariyapanitkul .

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Piamsuwannakit, S., Autchariyapanitkul, K., Sriboonchitta, S., Ouncharoen, R. (2015). Capital Asset Pricing Model with Interval Data. In: Huynh, VN., Inuiguchi, M., Demoeux, T. (eds) Integrated Uncertainty in Knowledge Modelling and Decision Making. IUKM 2015. Lecture Notes in Computer Science(), vol 9376. Springer, Cham. https://doi.org/10.1007/978-3-319-25135-6_16

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  • DOI: https://doi.org/10.1007/978-3-319-25135-6_16

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-25134-9

  • Online ISBN: 978-3-319-25135-6

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