Optimal Dynamic Trading Strategies with Risk Limits

Published Online:https://doi.org/10.1287/opre.1070.0433

References

  • Ahn D.-H., Boudoukh J., Richardson M., Whitelaw R. F. Optimal risk management using options. J. Finance (1999) 54:359–375CrossrefGoogle Scholar
  • Alexander G., Baptista A. Economic implications of using a mean-VaR. J. Econom. Dynam. Control (2002) 26:1159–1193CrossrefGoogle Scholar
  • Artzner P., Delbaen F., Eber J.-M., Heath D. Coherent measures of risk. Math. Finance (1999) 9:203–228CrossrefGoogle Scholar
  • Artzner P., Delbaen F., Eber J.-M., Heath D., Ku H. Coherent multiperiod risk adjusted values and Bellman's principle. (2003) . Working paper, ETH Zurich, Zurich, SwitzerlandGoogle Scholar
  • Basak S., Shapiro A. Value-at-risk based risk management: Optimal policies and asset prices. Rev. Financial Stud. (2001) 14:371–405CrossrefGoogle Scholar
  • Basel Committee on Banking Supervision Supervisory framework for the use of “backtesting” in conjunction with the internal models approach to market risk capital requirements. (1996) . Technical note, Basel Committee on Banking Supervision, Basel, SwitzerlandGoogle Scholar
  • Berkelaar A., Cumperayot P., Kouwenberg R. The effect of VaR-based risk management on asset prices and volatility smile. Eur. Financial Management (2005) 8:65–78Google Scholar
  • Cheridito P., Delbaen F., Kupper M. Coherent and convex monetary risk measures for bounded Càdlàg processes. Stochastic Processes and Their Appl. (2004) 112:1–22CrossrefGoogle Scholar
  • Cheridito P., Delbaen F., Kupper M. Coherent and convex monetary risk measures for unbounded Càdlàg processes. Finance Stochastics (2005) 9:369–387CrossrefGoogle Scholar
  • Cheridito P., Delbaen F., Kupper M. Dynamic monetary risk measures for bounded discrete-time processes. Electronic J. Probab. (2006) 11:57–106CrossrefGoogle Scholar
  • Cuoco D., Liu H. An analysis of VaR-based capital requirements. J. Financial Intermediation (2006) 15:362–394CrossrefGoogle Scholar
  • Cvitanić J., Karatzas I. Convex duality in constrained portfolio optimization. Ann. Appl. Probab. (1992) 2:767–818CrossrefGoogle Scholar
  • Danielsson J., Shin H.-S., Zigrand J.-P. The impact of risk regulation on price dynamics. J. Banking and Finance (2004) 28:1069–1087CrossrefGoogle Scholar
  • Delbaen F.Coherent Risk Measures (2000) . Lecture notes, Scuola Normale Superiore di Pisa, Pisa, ItalyGoogle Scholar
  • Delbaen F., Sandmann K., Schonbucher P. J. Coherent risk measures on general probability spaces. Advances in Finance and Stochastics (2002) (Springer-Verlag, Berlin, Germany) 1–38CrossrefGoogle Scholar
  • Detlefsen K., Scandolo G. Conditional and dynamic convex risk measures. Finance and Stochastics (2005) 9:539–561CrossrefGoogle Scholar
  • Dixit A.Optimization in Economic Theory (1990) (Oxford University Press, New York) Google Scholar
  • The Economist The risk business. (1998) October 17Google Scholar
  • Emmer S., Klüppelberg C., Korn R. Optimal portfolios with bounded capital at risk. Math. Finance (2001) 11:365–384CrossrefGoogle Scholar
  • Fölmer H., Penner I. Convex risk measures and the dynamics of their penalty functions. Statist. Decision (2006) 24:61–96Google Scholar
  • Fölmer H., Schied A. Convex measures of risk and trading constraints. Finance Stochastics (2002) 6:429–447CrossrefGoogle Scholar
  • Fölmer H., Schied A.Stochastic Finance—An Introduction in Discrete Time (2004) 2nd ed.(Walter de Gruyter, Berlin, Germany) CrossrefGoogle Scholar
  • Frittelli M., Rosazza Gianin E. Putting order in risk measures. J. Banking Finance (2002) 26:1473–1486CrossrefGoogle Scholar
  • Gabih A., Grecksch W., Wunderlich R. Dynamic portfolio optimization with bounded shortfall risks. Stochastic Anal. Appl. (2005a) 23:579–594CrossrefGoogle Scholar
  • Gabih A., Richter M., Wunderlich R. Dynamic optimal portfolios benchmarking the stock market. (2005b) . Working paper, Technische Universität Chemnitz, Chemnitz, GermanyGoogle Scholar
  • Gilboa I., Schmeidler D. Maxmin expected utility with non-unique prior. J. Math. Econom. (1989) 18:141–153CrossrefGoogle Scholar
  • Gundel A., Weber S. Robust utility maximization with limited downside risk in incomplete markets. Stochastic Processes and Their Appl. (2005a) . ForthcomingGoogle Scholar
  • Gundel A., Weber S. Utility maximization under a shortfall risk constraint. J. Math. Econom. (2005b) . ForthcomingGoogle Scholar
  • Huisman R., Koedijk K. G., Pownall R. A. J. Asset allocation in a value-at-risk framework. (1999) . Working paper, Erasmus University of Rotterdam, Rotterdam, The NetherlandsCrossrefGoogle Scholar
  • Jorion P.Value at Risk (2001) (McGraw-Hill, New York) Google Scholar
  • Karatzas I., Shreve S. E.Brownian Motion and Stochastic Calculus (1988) (Springer-Verlag, New York) CrossrefGoogle Scholar
  • Kast R., Luciano E., Peccati L. Value-at-risk as a decision criterion. (1999) . Working paper, University of Turin, Turin, ItalyGoogle Scholar
  • Kushner H. J., Dupuis P. G.Numerical Methods for Stochastic Control Problems in Continuous Time (1992) (Springer-Verlag, New York) CrossrefGoogle Scholar
  • Leippold M., Trojani F., Vanini P. Equilibrium impact of value-at-risk regulation. J. Econom. Dynam. Control (2006) 30:1277–1313CrossrefGoogle Scholar
  • Pflug G., Uryasev S. Some remarks on the value-at-risk and the conditional value-at-risk. Probabilistic Constrained Optimization: Methodology and Applications (2000) (Kluwer, Boston, MA) CrossrefGoogle Scholar
  • Pirvu T. A., Žitković G. Maximizing the growth rate under risk constraints. (2006) . Working paper, University of Texas, Austin, TXGoogle Scholar
  • Rockafellar R. T.Convex Analysis (1970) (Princeton University Press, Princeton, NJ) CrossrefGoogle Scholar
  • Rockafellar R. T., Uryasev S. Optimization of conditional value-at-risk. J. Risk (2000) 2:21–41CrossrefGoogle Scholar
  • Vorst T. Optimal portfolios under a value at risk constraint. (2001) . Mimeo, Erasmus University of Rotterdam, Rotterdam, The NetherlandsGoogle Scholar
  • Weber S. Distribution-invariant risk measures, information and dynamic consistency. Math. Finance (2006) 16:419–442CrossrefGoogle Scholar
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