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Mean Variance Optimization of Forward Looking Systems and Worst-case Analysis

Author

Listed:
  • Volker Wieland
  • Berc Rustem

    ()

  • Stanislav Zakovic

Abstract

In this paper we consider expected value and mean variance optimization of a general forward--looking stochastic model. The problem is transformed into a general--nonlinear programming problem by adding extra constraints, which restrict the policy maker to commit to a certain policy. Based on this policy,and the rest of the economic structure, the agents can forecast future states except for random future disturbances. We present algorithms for computing optimal expected values based on iterative Taylor expansion and an interior point method for computing minimax robust policies. The results from both approaches are compared in order to assess the relative advantage of each approach and measure robustness against performance, and are also compared against DYNARE - a program for solving rational expectations models

Suggested Citation

  • Volker Wieland & Berc Rustem & Stanislav Zakovic, 2005. "Mean Variance Optimization of Forward Looking Systems and Worst-case Analysis," Computing in Economics and Finance 2005 267, Society for Computational Economics.
  • Handle: RePEc:sce:scecf5:267
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    References listed on IDEAS

    as
    1. Canice Prendergast, 1999. "The Provision of Incentives in Firms," Journal of Economic Literature, American Economic Association, vol. 37(1), pages 7-63, March.
    2. Jean-François Troussier, 1993. "Relation d'effort et salaire au mérite," Revue Française d'Économie, Programme National Persée, vol. 8(2), pages 133-176.
    3. MacLeod, W. Bentley & Malcomson, James M., 1993. "Wage premiums and profit maximization in efficiency wage models," European Economic Review, Elsevier, pages 1223-1249.
    4. Gérard Charreaux, 1996. "Vers une théorie du gouvernement des entreprises," Working Papers CREGO 0960501, Université de Bourgogne - CREGO EA7317 Centre de recherches en gestion des organisations.
    5. Fama, Eugene F & French, Kenneth R, 1995. " Size and Book-to-Market Factors in Earnings and Returns," Journal of Finance, American Finance Association, vol. 50(1), pages 131-155, March.
    6. Philippe Desbrières & Sylvie Saint-Onge & Michel Magnan, 2000. "Les plans d'option sur actions:théorie et pratique," Working Papers CREGO 1000102, Université de Bourgogne - CREGO EA7317 Centre de recherches en gestion des organisations.
    7. Pierre Cahuc & André Zylberberg, 1994. "Que reste-t-il de la théorie du salaire d'efficience ?," Revue Économique, Programme National Persée, vol. 45(3), pages 385-398.
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    More about this item

    Keywords

    macroeconomic policy; optimization; uncertain models;

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy

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