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Author
Rutkowska-Ziarko Anna
Title
Metody znajdowania portfela efektywnego dla semiwariancji
Methods of finding the effective portfolio for semi-variance
Source
Badania Operacyjne i Decyzje, 2005, nr 3-4, s. 63-82, bibliogr. 14 poz.
Operations Research and Decisions
Keyword
Badania operacyjne, Statystyka, Metody numeryczne, Ryzyko operacyjne
Operations research, Statistics, Numerical methods, Operational risk
Note
streszcz., summ.
Abstract
W klasycznym modelu Markowitza ryzyko jest mierzone wariancją stóp zwrotu. Pewną wadą wariancji jako miary ryzyka jest jednakowe traktowanie odchyleń ujemnych i dodatnich od oczekiwanej stopy zwrotu. Markowitz do mierzenia tylko odchyleń ujemnych zdefiniował semiwariancję. Jednak znalezienie portfela o minimalnej semiwariancji jest znacznie trudniejsze niż znalezienie portfela o minimalnej wariancji. Nową metodę znajdowania portfela o minimalnej semiwariancji zaproponowano w niniejszej pracy.

In the classic Markowitz model, risk is measured by the return rates variance. However, equal treatment of negative and positive deviations from the expected return rate is a slightly shortcoming of variance is the risk measure. Markowitz defined semi-variance to measure the negative deviations only. However finding the portfolio with minimum semi-variance is much more difficult than finding a portfolio with minimum variance. The critical line method proposed by Markowitz in 1959 was the oldest method for finding optimum portfolios for semi-variances. That method was highly complicated and as a consequence the search for methods of finding a quasi-optimum solution continued. Quasi-optimum solutions are based on the co-lower partial moments. Until today they find application in practice. Their advantage is that it is possible to use one of many available software packages for square or non-linear optimization. Unfortunately the solution obtained is quasi optimal and it is not known how far it deviates from the optimum solution. As a consequence, the need to formulate a new method that could offer optimum solution and at the same time would be simple and easy for software design as a means to select optimum portfolios with the minimum semi-variance from the assumer return rate appeared.
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The Main Library of the Cracow University of Economics
The Library of Warsaw School of Economics
The Library of University of Economics in Katowice
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Bibliography
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  1. BERNSTEIN P., DAMODAROU A., Zarządzanie inwestycjami, Wydawnictwo K.E. Liber, Warszawa 1999.
  2. EFTEKHARI B., PEDERSEN C., SATCHELL E., On the volatility of measures of financial risk: an investigation using returns from European markets, The European Journal of Finance, 2000, nr 6, s. 18-38.
  3. GRABOWSKI W., Programowanie matematyczne, PWE, Warszawa 1982.
  4. HAUGEN A., Teoria nowoczesnego inwestowania, WIG-Press, Warszawa 1996.
  5. HOGAN W., WARREN J., Computation of the efficient boundary in the E-S portfolio selection model, Journal of Finance and Quantitative Analysis, September 1972.
  6. MARKOWITZ H., Portfolio selection, J. Finance 7, 1952, s. 77-91.
  7. MARKOWITZ H., Portfolio selection: efficient diversification of investments, John Wiley and Sons, New York 1959.
  8. MARKOWITZ H., Portfolio selection: efficient diversification of ivestments, Blackwell, Malden, Massachusetts, 1991.
  9. NAWROCKI D., Optimal algorithms and lower partial moments: ex post results, Applied Economics,1991,23,5.465-470.
  10. OGRYCZAK W., RUSZCZYŃSKI A., From stochastic dominance to mean-risk models: semideviations as risk measures, European Journal of Operational Research, 116 (1999), s. 33-35.
  11. OGRYCZAK W., RUSZCZYŃSKI A., On consistency of stochastic dominance and mean-semideviation models, Mathematical Programming, Ser. B vol. 89, Springer Yerlag KG, 2001, s. 217-232.
  12. OLESINKIEWICZ J., RUTKOWSKA-ZIARKO A., Application of the Wolfs algorithm in constructing effective portfolios, Acta Universitatis Lodziensis Folia Oeconomica, 2004, nr 175.
  13. RUTKOWSKA-ZlARKO A., OLESINKIEWICZ J., Wykorzystanie semiwariancji do budowy portfela akcji. Przegląd Statystyczny, 2002, nr 4.
  14. SORTINO F., SATCHELL S., Managing downside risk in financial markets: theory, practice and implementation, Butterworth - Heinemann, Oxford, 2001.
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ISSN
1230-1868
Language
pol
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