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Performance of robust portfolio optimization in crisis periods

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We examin empirical performances of two alterna- tive robust optimization models, namely the worst-case conditional value-at-risk (worst-case CVaR) model and the nominal conditional value-at-risk (CVaR) model in crisis periods. Both models are based on historical value-at-risk methodology. These performances are compared by using a portfolio constructed on the basis of daily clos- ing values of different stock indices in developed markets using data from 1990 to 2013. An empirical evidence is produced with Ro- bustRisk software application. Both a Monte-Carlo simulation and an out-of-sample test show that robust optimization with worst-case CVaR model outperforms the nominal CVaR model in the crisis peri- ods. However, the trade-off between model misspecification risk and return maximization depending on the market movements should be optimized in a robust model selection.
Rocznik
Strony
855--871
Opis fizyczny
Bibliogr. 10 poz., il., wykr.
Twórcy
autor
  • Department of Computer Science, Yildiz Technical University Davutpasa, 34220, Istanbul, Turkey
autor
  • School of Management, Bradford University Emm Lane, BD9 4JL, Bradford, UK
Bibliografia
  • 1. Bertsimas, D., Brown, D.B. and Caramanis, C. (2011) Theory and applications of robust optimization. SIAM Review 53 (3): 464–501.
  • 2. Chen C., and Kwon, R.H. (2012) Robust portfolio selection for index tracking. Computers and Operational Research 39 (4): 829–837.
  • 3. Ellsberg, D. (1961) Risk, Ambiguity and the Savage Axioms. Quarterly Journal of Economics 75: 643–669.
  • 4. Jacobson, D. (1973) Optimal stochastic linear systems with exponential performance criteria and their relation to deterministic differential games. IEEE Transactions on Automatic Control 18 (2): 124–131.
  • 5. Kreps, D. M. and Porteus, E. L. (1978) Temporal resolution of uncertainty and dynamic choice theory. Econometrica 46 (1): 185–200.
  • 6. Ozun, A. and Balcilar, M. (2013) ”RobustRisk” for portfolio optimization. December 2013, online available on http://www.yarbis.yildiz.edu.tr/muhammetf-page21587.
  • 7. Rockafellar R.T. and Uryasev, S. (2000) Optimization of conditional value-at-risk. The Journal of Risk 2 (3): 21–41.
  • 8. Whittle, P. (1981) Risk-sensitive linear quadratic Gaussian control. Advances in Applied Probability 13: 764- 777.
  • 9. Zhu, S. and Fukushima, M. (2009)Worst-case conditional value-at-risk with application to robust portfolio management. Operations Research 57 (5): 1155–1168.
  • 10. Zymler, S., Rustem, R. and Kuhn, D. (2011) Robust Portfolio Optimization with Derivative Insurance Guarantees. European Journal of Operational Research 210 (2): 410–424.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-52b05a56-acc3-4d8b-ae39-d8016e5e6048
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