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A General Equilibrium Financial Asset Economy with Transaction Costs and Trading Constraints

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  • Frank Milne

    ()
    (Queen's University)

  • Edwin Neave

    (Queen's University)

Abstract

This paper presents a unified framework for examining the general equilibrium effects of transactions costs and trading constraints on security market trades and prices. The model uses a discrete time/state framework and Kuhn-Tucker theory to characterize the optimal decisions of consumers and financial intermediaries. Transaction costs and constraints give rise to regions of no trade and to bid-ask spreads: their existence frustrate the derivation of standard results in arbitrage-based pricing. Nevertheless, we are able to obtain as dual characterizations of our primal problems, one-sided arbitrage pricing results and a personalized martingale representation of asset pricing. These pricing results are identical to those derived by Jouini and Kallal (1995) using arbitrage arguments. The paper's framework incorporates a number of specialized existing models and results, proves new results and discusses new directions for research. In particular, we include characterizations of intermediaries who hold optimal portfolios; brokers who do not hold portfolios, and consumer-specific transactions costs and trading constraints. Furthermore we show that in the special case of equiproportional transaction costs and a sufficient number of assets, there is an analogue of the arbitrage pricing result for European derivatives where prices are interpreted as mid-prices between the bid-ask spread. We discuss the effects of non-convex transaction technologies on prices and trades.

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File URL: http://qed.econ.queensu.ca/working_papers/papers/qed_wp_1082.pdf
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Bibliographic Info

Paper provided by Queen's University, Department of Economics in its series Working Papers with number 1082.

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Length: 44 pages
Date of creation: Sep 2003
Date of revision:
Handle: RePEc:qed:wpaper:1082

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Keywords: Financial Markets; Transaction Costs; Trading Constraints; Asset Pricing; General Equilibrium; Incomplete Markets;

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References

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  1. Duffie, Darrell, 1990. "Money in general equilibrium theory," Handbook of Monetary Economics, in: B. M. Friedman & F. H. Hahn (ed.), Handbook of Monetary Economics, edition 1, volume 1, chapter 3, pages 81-100 Elsevier.
  2. Jouini Elyes & Kallal Hedi, 1995. "Martingales and Arbitrage in Securities Markets with Transaction Costs," Journal of Economic Theory, Elsevier, vol. 66(1), pages 178-197, June.
  3. Kelsey, David & Milne, Frank, 1999. "Induced Preferences, Nonadditive Beliefs, and Multiple Priors," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(2), pages 455-77, May.
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  5. Xing Jin & Frank Milne, 1996. "The Existence of Equilibrium in a Financial Market with Transaction Costs," Working Papers 934, Queen's University, Department of Economics.
  6. Detemple, Jerome & Murthy, Shashidhar, 1997. "Equilibrium Asset Prices and No-Arbitrage with Portfolio Constraints," Review of Financial Studies, Society for Financial Studies, vol. 10(4), pages 1133-74.
  7. Ostroy, Joseph M. & Starr, Ross M., 1990. "The transactions role of money," Handbook of Monetary Economics, in: B. M. Friedman & F. H. Hahn (ed.), Handbook of Monetary Economics, edition 1, volume 1, chapter 1, pages 3-62 Elsevier.
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  9. Constantinides, George M, 1986. "Capital Market Equilibrium with Transaction Costs," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 842-62, August.
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  17. repec:fth:inseep:9513 is not listed on IDEAS
  18. Heller, Walter Perrin & Starr, Ross M, 1976. "Equilibrium with Non-convex Transactions Costs: Monetary and Non-monetary Economies," Review of Economic Studies, Wiley Blackwell, vol. 43(2), pages 195-215, June.
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Citations

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Cited by:
  1. Martins-da-Rocha, Victor Filipe & Vailakis, Yiannis, 2008. "Endogenous Transaction Costs," Economics Working Papers (Ensaios Economicos da EPGE) 680, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  2. Leippold, Markus & Trojani, Fabio & Vanini, Paolo, 2006. "Equilibrium impact of value-at-risk regulation," Journal of Economic Dynamics and Control, Elsevier, vol. 30(8), pages 1277-1313, August.
  3. Adrian Buss & Bernard Dumas, 2013. "Financial-market Equilibrium with Friction," NBER Working Papers 19155, National Bureau of Economic Research, Inc.
  4. Frank Milne & Xing Jin, 2006. "Taxation and Transaction Costs in a General Equilibrium Asset Economy," Working Papers 1111, Queen's University, Department of Economics.
  5. Frank Milne, 2008. "Credit Crises, Risk Management Systems and Liquidity Modelling," Working Papers 1, John Deutsch Institute for the Study of Economic Policy.
  6. Matthew Pritsker, 2005. "Large investors: implications for equilibrium asset, returns, shock absorption, and liquidity," Finance and Economics Discussion Series 2005-36, Board of Governors of the Federal Reserve System (U.S.).
  7. V. Martins-da-Rocha & Yiannis Vailakis, 2010. "Financial markets with endogenous transaction costs," Economic Theory, Springer, vol. 45(1), pages 65-97, October.

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