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Multiplicative parameters and estimators: applications in economics and finance

Author

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  • Helena Jasiulewicz

    (Wrocław University of Environmental and Life Sciences)

  • Wojciech Kordecki

    (The Witelon State University of Applied Sciences in Legnica)

Abstract

In this paper, we pay our attention to multiplicative parameters of random variables and their estimators. We study multiplicative properties of the multiplicative expectation and multiplicative variation as well as their estimators. For distributions having applications in finance and insurance we provide their multiplicative parameters and their properties. We consider, among others, heavy-tailed distributions such as lognormal and Pareto distributions, applied to the modelling of large losses. We discuss multiplicative models, in which the geometric mean and the geometric standard deviation are more natural than their arithmetic counterparts. We provide two examples from the Warsaw Stock Exchange in 1995–2009 and from a bid of 52-week treasury bills in 1992–2009 in Poland as an illustrative example.

Suggested Citation

  • Helena Jasiulewicz & Wojciech Kordecki, 2016. "Multiplicative parameters and estimators: applications in economics and finance," Annals of Operations Research, Springer, vol. 238(1), pages 299-313, March.
    • Handle: RePEc:spr:annopr:v:238:y:2016:i:1:d:10.1007_s10479-015-2035-x
    DOI: 10.1007/s10479-015-2035-x
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    References listed on IDEAS

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    1. James H. Vander Weide & David W. Peterson & Steven F. Maier, 1977. "A Strategy Which Maximizes the Geometric Mean Return on Portfolio Investments," Management Science, INFORMS, vol. 23(10), pages 1117-1123, June.
    2. Ian Cooper, 1996. "Arithmetic versus geometric mean estimators: Setting discount rates for capital budgeting," European Financial Management, European Financial Management Association, vol. 2(2), pages 157-167, July.
    3. Eric Jacquier & Alex Kane & Alan J. Marcus, 2005. "Optimal Estimation of the Risk Premium for the Long Run and Asset Allocation: A Case of Compounded Estimation Risk," Journal of Financial Econometrics, Oxford University Press, vol. 3(1), pages 37-55.
    4. Arie ten Cate, 2009. "Arithmetic and geometric mean rates of return in discrete time," CPB Memorandum 223.rdf, CPB Netherlands Bureau for Economic Policy Analysis.
    5. Thadewald, Thorsten & Büning, Herbert, 2004. "Jarque-Bera test and its competitors for testing normality: A power comparison," Discussion Papers 2004/9, Free University Berlin, School of Business & Economics.
    6. Arie ten Cate, 2009. "Arithmetic and geometric mean rates of return in discrete time," CPB Memorandum 223, CPB Netherlands Bureau for Economic Policy Analysis.
    7. Stanisława Ostasiewicz & Walenty Ostasiewicz, 2000. "Means and their applications," Annals of Operations Research, Springer, vol. 97(1), pages 337-355, December.
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    Cited by:

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