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Market selection of constant proportions investment strategies in continuous time

  • Palczewski, Jan
  • Schenk-Hoppé, Klaus Reiner

This paper studies the wealth dynamics of investors holding self-financing portfolios in a continuous-time model of a financial market. Asset prices are endogenously determined by market clearing. We derive results on the asymptotic dynamics of the wealth distribution and asset prices for constant proportions investment strategies. This study is the first step towards a theory of continuous-time asset pricing that combines concepts from mathematical finance and economics by drawing on evolutionary ideas.

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Article provided by Elsevier in its journal Journal of Mathematical Economics.

Volume (Year): 46 (2010)
Issue (Month): 2 (March)
Pages: 248-266

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Handle: RePEc:eee:mateco:v:46:y:2010:i:2:p:248-266
Contact details of provider: Web page: http://www.elsevier.com/locate/jmateco

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  1. Evstigneev, Igor V. & Hens, Thorsten & Schenk-Hoppé, Klaus Reiner, 2005. "Globally Evolutionarily Stable Portfolio Rules," Discussion Papers 2005/17, Department of Business and Management Science, Norwegian School of Economics.
  2. Igor V. EVSTIGNEEV & Thorsten HENS & Klaus Reiner SCHENK-HOPPE, . "Survival and Evolutionary Stability of the Kelly Rule," Swiss Finance Institute Research Paper Series 09-32, Swiss Finance Institute.
  3. Klaus Reiner Schenk-Hoppé & Björn Schmalfuss, . "Random Fixed Points in a Stochastic Solow Growth Model," IEW - Working Papers 065, Institute for Empirical Research in Economics - University of Zurich.
  4. Igor Evstigneev & Thorsten Hens & Klaus Reiner Schenk-Hoppé, 2003. "Evolutionary Stable Stock Markets," Discussion Papers 03-39, University of Copenhagen. Department of Economics.
  5. Eckhard Platen, 2004. "A Benchmark Approach to Finance," Research Paper Series 138, Quantitative Finance Research Centre, University of Technology, Sydney.
  6. William N. Goetzmann & Evan Geov Gatev & K. Geert Rouwenhorst, 1998. "Pairs Trading: Performance of a Relative Value Arbitrage Rule," Yale School of Management Working Papers ysm109, Yale School of Management.
  7. Igor V. Evstigneev & Thorsten Hens & Klaus Reiner Schenk-Hoppé, 2002. "Market Selection Of Financial Trading Strategies: Global Stability," Mathematical Finance, Wiley Blackwell, vol. 12(4), pages 329-339.
  8. Luenberger, David G., 1993. "A preference foundation for log mean-variance criteria in portfolio choice problems," Journal of Economic Dynamics and Control, Elsevier, vol. 17(5-6), pages 887-906.
  9. Shapley, Lloyd S & Shubik, Martin, 1977. "Trade Using One Commodity as a Means of Payment," Journal of Political Economy, University of Chicago Press, vol. 85(5), pages 937-68, October.
  10. Igor V. Evstigneev & Thorsten Hens & Klaus Reiner Schenk-Hoppé, 2008. "Evolutionary Finance," Swiss Finance Institute Research Paper Series 08-14, Swiss Finance Institute.
  11. Hens, Thorsten & Schenk-Hoppe, Klaus Reiner, 2005. "Evolutionary stability of portfolio rules in incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 41(1-2), pages 43-66, February.
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