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Asset Pricing with Arbitrage Activity

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  • Julien Hugonnier

    (Swiss Federal Institute of Technology Lausanne, Ecole Polytechnique Fédérale de Lausanne, and Swiss Finance Institute)

  • Rodolfo Prieto

    (Boston University)

Abstract

WWe study an economy populated by three groups of logarithmic agents: Constrained agents subject to a portfolio constraint that limits their risk-taking, unconstrained agents subject to a standard nonnegative wealth constraint, and arbitrageurs with access to uncollateralized credit. Such credit is valuable as it allows arbitrageurs to exploit the limited arbitrage opportunities that emerge endogenously in reaction to the portfolio imbalance generated by constrained agents. The model is solved in closed-form and we show that, in contrast to most equilibrium models with frictions and logarithmic agents, arbitrage activity has an impact on the price level and generates both excess volatility and the leverage effect. We show that these results are due to the fact that arbitrageurs lever up in good times and delever in bad times, and also investigate the effects of an unexpected tightening of the funding liquidity conditions of arbitrageurs.

Suggested Citation

  • Julien Hugonnier & Rodolfo Prieto, 2013. "Asset Pricing with Arbitrage Activity," Swiss Finance Institute Research Paper Series 13-57, Swiss Finance Institute.
    • Handle: RePEc:chf:rpseri:rp1357
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    1. Basak, Suleyman & Cuoco, Domenico, 1998. "An Equilibrium Model with Restricted Stock Market Participation," The Review of Financial Studies, Society for Financial Studies, vol. 11(2), pages 309-341.
    2. Philip H. Dybvig, Chi-fu Huang, 1988. "Nonnegative Wealth, Absence of Arbitrage, and Feasible Consumption Plans," The Review of Financial Studies, Society for Financial Studies, vol. 1(4), pages 377-401.
    3. Manuel S. Santos & Michael Woodford, 1997. "Rational Asset Pricing Bubbles," Econometrica, Econometric Society, vol. 65(1), pages 19-58, January.
    4. Zhiguo He & Arvind Krishnamurthy, 2019. "A Macroeconomic Framework for Quantifying Systemic Risk," American Economic Journal: Macroeconomics, American Economic Association, vol. 11(4), pages 1-37, October.
    5. Basak, Suleyman & Croitoru, Benjamin, 2000. "Equilibrium Mispricing in a Capital Market with Portfolio Constraints," The Review of Financial Studies, Society for Financial Studies, vol. 13(3), pages 715-748.
    6. Magill, Michael & Quinzii, Martine, 1994. "Infinite Horizon Incomplete Markets," Econometrica, Econometric Society, vol. 62(4), pages 853-880, July.
    7. Kocherlakota, Narayana R., 1992. "Bubbles and constraints on debt accumulation," Journal of Economic Theory, Elsevier, vol. 57(1), pages 245-256.
    8. Gromb, Denis & Vayanos, Dimitri, 2002. "Equilibrium and welfare in markets with financially constrained arbitrageurs," Journal of Financial Economics, Elsevier, vol. 66(2-3), pages 361-407.
    9. Steven L. Heston & Mark Loewenstein & Gregory A. Willard, 2007. "Options and Bubbles," The Review of Financial Studies, Society for Financial Studies, vol. 20(2), pages 359-390.
    10. Domenico Cuoco & Hua He & Sergei Isaenko, 2008. "Optimal Dynamic Trading Strategies with Risk Limits," Operations Research, INFORMS, vol. 56(2), pages 358-368, April.
    11. Nicolae Gârleanu & Stavros Panageas & Jianfeng Yu, 2015. "Financial Entanglement: A Theory of Incomplete Integration, Leverage, Crashes, and Contagion," American Economic Review, American Economic Association, vol. 105(7), pages 1979-2010, July.
    12. He, Hua & Pages, Henri F, 1993. "Labor Income, Borrowing Constraints, and Equilibrium Asset Prices," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(4), pages 663-696, October.
    13. Ricardo J. Caballero & Emmanuel Farhi & Pierre-Olivier Gourinchas, 2008. "An Equilibrium Model of "Global Imbalances" and Low Interest Rates," American Economic Review, American Economic Association, vol. 98(1), pages 358-393, March.
    14. Nicolae Gârleanu & Lasse Heje Pedersen, 2011. "Margin-based Asset Pricing and Deviations from the Law of One Price," The Review of Financial Studies, Society for Financial Studies, vol. 24(6), pages 1980-2022.
    15. Detemple, Jerome & Murthy, Shashidhar, 1997. "Equilibrium Asset Prices and No-Arbitrage with Portfolio Constraints," The Review of Financial Studies, Society for Financial Studies, vol. 10(4), pages 1133-1174.
    16. Hugonnier, Julien, 2012. "Rational asset pricing bubbles and portfolio constraints," Journal of Economic Theory, Elsevier, vol. 147(6), pages 2260-2302.
    17. George Loewenstein & Richard H Thaler, 2003. "Anomalies: Intertemporal Choice," Levine's Working Paper Archive 618897000000000784, David K. Levine.
    18. Tobias Adrian & Karin Kimbrough & Dina Tavares Marchioni, 2011. "The Federal Reserve’s Commercial Paper Funding Facility," Economic Policy Review, Federal Reserve Bank of New York, vol. 17(May), pages 25-39.
    19. repec:bla:jfinan:v:44:y:1989:i:5:p:1115-53 is not listed on IDEAS
    20. Ricardo J. Caballero & Arvind Krishnamurthy, 2009. "Global Imbalances and Financial Fragility," American Economic Review, American Economic Association, vol. 99(2), pages 584-588, May.
    21. Owen A. Lamont & Richard H. Thaler, 2003. "Can the Market Add and Subtract? Mispricing in Tech Stock Carve-outs," Journal of Political Economy, University of Chicago Press, vol. 111(2), pages 227-268, April.
    22. Rosenthal, Leonard & Young, Colin, 1990. "The seemingly anomalous price behavior of Royal Dutch/Shell and Unilever N.V./PLC," Journal of Financial Economics, Elsevier, vol. 26(1), pages 123-141, July.
    23. Ang, Andrew & Gorovyy, Sergiy & van Inwegen, Gregory B., 2011. "Hedge fund leverage," Journal of Financial Economics, Elsevier, vol. 102(1), pages 102-126, October.
    24. Aït-Sahalia, Yacine & Fan, Jianqing & Li, Yingying, 2013. "The leverage effect puzzle: Disentangling sources of bias at high frequency," Journal of Financial Economics, Elsevier, vol. 109(1), pages 224-249.
    25. Isabelle Huault & V. Perret & S. Charreire-Petit, 2007. "Management," Post-Print halshs-00337676, HAL.
    26. Jérôme Detemple & Angel Serrat, 2003. "Dynamic Equilibrium with Liquidity Constraints," The Review of Financial Studies, Society for Financial Studies, vol. 16(2), pages 597-629.
    27. Radner, Roy, 1972. "Existence of Equilibrium of Plans, Prices, and Price Expectations in a Sequence of Markets," Econometrica, Econometric Society, vol. 40(2), pages 289-303, March.
    28. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
    29. Mehra, Rajnish & Prescott, Edward C., 2003. "The equity premium in retrospect," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, edition 1, volume 1, chapter 14, pages 889-938, Elsevier.
    30. Basak, Suleyman & Croitoru, Benjamin, 2006. "On the role of arbitrageurs in rational markets," Journal of Financial Economics, Elsevier, vol. 81(1), pages 143-173, July.
    31. Markus K. Brunnermeier & Yuliy Sannikov, 2014. "A Macroeconomic Model with a Financial Sector," American Economic Review, American Economic Association, vol. 104(2), pages 379-421, February.
    32. Adam Ashcraft & Nicolae Gârleanu & Lasse Heje Pedersen, 2011. "Two Monetary Tools: Interest Rates and Haircuts," NBER Chapters, in: NBER Macroeconomics Annual 2010, volume 25, pages 143-180, National Bureau of Economic Research, Inc.
    33. Alexander Cox & David Hobson, 2005. "Local martingales, bubbles and option prices," Finance and Stochastics, Springer, vol. 9(4), pages 477-492, October.
    34. Nicole El Karoui & Monique Jeanblanc-Picqué, 1998. "Optimization of consumption with labor income," Finance and Stochastics, Springer, vol. 2(4), pages 409-440.
    35. Loewenstein, Mark & Willard, Gregory A., 2000. "Rational Equilibrium Asset-Pricing Bubbles in Continuous Trading Models," Journal of Economic Theory, Elsevier, vol. 91(1), pages 17-58, March.
    36. Mele, Antonio, 2007. "Asymmetric stock market volatility and the cyclical behavior of expected returns," Journal of Financial Economics, Elsevier, vol. 86(2), pages 446-478, November.
    37. Miller, Edward M, 1977. "Risk, Uncertainty, and Divergence of Opinion," Journal of Finance, American Finance Association, vol. 32(4), pages 1151-1168, September.
    38. Jose A. Scheinkman & Wei Xiong, 2003. "Overconfidence and Speculative Bubbles," Journal of Political Economy, University of Chicago Press, vol. 111(6), pages 1183-1219, December.
    39. Marcin Kacperczyk & Philipp Schnabl, 2010. "When Safe Proved Risky: Commercial Paper during the Financial Crisis of 2007-2009," Journal of Economic Perspectives, American Economic Association, vol. 24(1), pages 29-50, Winter.
    40. Ricardo J. Caballero, 2006. "On the Macroeconomics of Asset Shortages," NBER Working Papers 12753, National Bureau of Economic Research, Inc.
    41. Fama, Eugene F. & French, Kenneth R., 1989. "Business conditions and expected returns on stocks and bonds," Journal of Financial Economics, Elsevier, vol. 25(1), pages 23-49, November.
    42. Amir Sufi, 2009. "Bank Lines of Credit in Corporate Finance: An Empirical Analysis," The Review of Financial Studies, Society for Financial Studies, vol. 22(3), pages 1057-1088, March.
    43. Nicolae Gârleanu & Lasse Heje Pedersen, 2007. "Liquidity and Risk Management," American Economic Review, American Economic Association, vol. 97(2), pages 193-197, May.
    44. Itzhak Ben-David & Francesco Franzoni & Rabih Moussawi, 2012. "Hedge Fund Stock Trading in the Financial Crisis of 2007--2009," The Review of Financial Studies, Society for Financial Studies, vol. 25(1), pages 1-54.
    45. J. Michael Harrison & David M. Kreps, 1978. "Speculative Investor Behavior in a Stock Market with Heterogeneous Expectations," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 92(2), pages 323-336.
    46. Jun Liu & Allan Timmermann, 2013. "Optimal Convergence Trade Strategies," The Review of Financial Studies, Society for Financial Studies, vol. 26(4), pages 1048-1086.
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    More about this item

    Keywords

    Limits of arbitrage; Rational bubbles; Wealth constraints; Excess volatility; Leverage effect;
    All these keywords.

    JEL classification:

    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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