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Arbitrage in stationary markets

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  • Igor Evstigneev
  • Dhruv Kapoor

Abstract

We analyse questions of arbitrage in financial markets in which asset prices change in time as stationary stochastic processes. The main focus of the paper is on a model where the price vectors are independent and identically distributed. In the framework of this model, we find conditions that are necessary and su¢ cient for the absence of arbitrage opportunities. We discuss the relations between the results obtained and the phenomenon of "volatility-induced growth"in stationary markets.

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Bibliographic Info

Paper provided by Economics, The University of Manchester in its series The School of Economics Discussion Paper Series with number 0619.

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Date of creation: 2006
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Handle: RePEc:man:sespap:0619

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Web page: http://www.socialsciences.manchester.ac.uk/subjects/economics/
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  1. Ilan Adler & David Gale, 1997. "Arbitrage and Growth Rate for Riskless Investments in a Stationary Economy," Mathematical Finance, Wiley Blackwell, vol. 7(1), pages 73-81.
  2. Fernholz, Robert & Shay, Brian, 1982. " Stochastic Portfolio Theory and Stock Market Equilibrium," Journal of Finance, American Finance Association, vol. 37(2), pages 615-24, May.
  3. Igor V. Evstigneev & Michal A. H. Dempster & Klaus R. Schenk-Hoppé, 2003. "Exponential growth of fixed-mix strategies in stationary asset markets," Finance and Stochastics, Springer, vol. 7(2), pages 263-276.
  4. J. Jacod & A.N. Shiryaev, 1998. "Local martingales and the fundamental asset pricing theorems in the discrete-time case," Finance and Stochastics, Springer, vol. 2(3), pages 259-273.
  5. Cantor, David G & Lippman, Steven A, 1995. "Optimal Investment Selection with a Multitude of Projects," Econometrica, Econometric Society, vol. 63(5), pages 1231-40, September.
  6. Y.M. Kabanov & D.O. Kramkov, 1998. "Asymptotic arbitrage in large financial markets," Finance and Stochastics, Springer, vol. 2(2), pages 143-172.
  7. Michael A.H. Dempster & Igor V. Evstigneev & Klaus R. Schenk-Hoppé, 2006. "Volatility-Induced Financial Growth," The School of Economics Discussion Paper Series 0626, Economics, The University of Manchester.
  8. Igor V. Evstigneev & Klaus Rainer Schenk-Hoppé, . "From Rags to Riches: On Constant Proportions Investment Strategies," IEW - Working Papers 089, Institute for Empirical Research in Economics - University of Zurich.
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