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Optymalizacja portfelowa średnia-wariancja (Markowitz)×Testowanie wsteczne wartości zagrożonej (VaR)×
DziedzinaFinanseFinanse
RodzinaRegression modelRegression model
Rok powstania19521998
TwórcaHarry MarkowitzKupiec (1995); Christoffersen (1998); Engle & Manganelli (DQ test)
TypMean-variance optimization modelStatistical hypothesis tests on VaR violation sequences
Źródło pierwotneMarkowitz, H. (1952). Portfolio Selection. The Journal of Finance, 7(1), 77-91. DOI ↗Kupiec, P. H. (1995). Techniques for Verifying the Accuracy of Risk Measurement Models. The Journal of Derivatives, 3(2), 73-84. DOI ↗
Inne nazwyMarkowitz portfolio theory, modern portfolio theory, efficient frontier optimization, Ortalama-Varyans Portföy Optimizasyonu (Markowitz)VaR backtest, Kupiec test, Christoffersen test, Dynamic Quantile test
Pokrewne53
PodsumowanieMean-variance portfolio optimization is the foundational model of modern portfolio theory, introduced by Harry Markowitz in 1952. It describes portfolios in an expected-return versus risk (variance) plane and traces the efficient frontier of allocations that offer the highest expected return for each level of risk, covering the minimum-variance portfolio, the maximum-Sharpe-ratio portfolio, and constrained variants.VaR backtesting is a family of statistical tests that validate a risk model by comparing its Value-at-Risk forecasts against realised losses. It builds on Kupiec's (1995) unconditional coverage test, Christoffersen's (1998) conditional coverage test, and the Engle-Manganelli Dynamic Quantile (DQ) test.
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  1. v1
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  3. PUBLISHED

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ScholarGatePorównaj metody: Mean-Variance Portfolio Optimization · VaR Backtesting. Pobrano 2026-06-17 z https://scholargate.app/pl/compare