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Market Selection of Constant Proportions Investment Strategies in Continuous Time

  • Jan PALCZEWSKI

    (University of Leeds and University of Warsaw)

  • Klaus Reiner SCHENK-HOPPE

    (University of Leeds)

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 nance and economics by drawing on evolutionary ideas.

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Paper provided by Swiss Finance Institute in its series Swiss Finance Institute Research Paper Series with number 08-29.

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Length: 32 pages
Date of creation: Sep 2008
Date of revision:
Handle: RePEc:chf:rpseri:rp0829
Contact details of provider: Web page: http://www.SwissFinanceInstitute.ch

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  1. 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.
  2. Eckhard Platen, 2006. "A Benchmark Approach To Finance," Mathematical Finance, Wiley Blackwell, vol. 16(1), pages 131-151.
  3. Evan Gatev & William N. Goetzmann & K. Geert Rouwenhorst, 2006. "Pairs Trading: Performance of a Relative-Value Arbitrage Rule," Review of Financial Studies, Society for Financial Studies, vol. 19(3), pages 797-827.
  4. Schenk-Hoppe, Klaus Reiner & Schmalfu[ss], Bjorn, 2001. "Random fixed points in a stochastic Solow growth model," Journal of Mathematical Economics, Elsevier, vol. 36(1), pages 19-30, September.
  5. Igor V. Evstigneev & Thorsten Hens & Klaus Reiner Schenk-Hoppé, . "Market Selection of Financial Trading Strategies: Global Stability," IEW - Working Papers 083, Institute for Empirical Research in Economics - University of Zurich.
  6. Igor V. Evstigneev & Thorsten Hens & Klaus Reiner Schenk-Hoppé, 2008. "Evolutionary Finance," Swiss Finance Institute Research Paper Series 08-14, Swiss Finance Institute.
  7. Igor Evstigneev & Thorsten Hens & Klaus Reiner Schenk-Hoppé, . "Evolutionary Stable Stock Markets," IEW - Working Papers 170, Institute for Empirical Research in Economics - University of Zurich.
  8. Evstigneev, Igor V. & Hens, Thorsten & Schenk-Hoppé, Klaus Reiner, 2008. "Globally evolutionarily stable portfolio rules," Journal of Economic Theory, Elsevier, vol. 140(1), pages 197-228, May.
  9. 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.
  10. 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.
  11. 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.
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