IDEAS home Printed from https://ideas.repec.org/p/chf/rpseri/rp1357.html
   My bibliography  Save this paper

Asset Pricing with Arbitrage Activity

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://ssrn.com/abstract=2351268
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    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, 2013. "Financial Entanglement: A Theory of Incomplete Integration, Leverage, Crashes, and Contagion," NBER Working Papers 19381, National Bureau of Economic Research, Inc.
    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 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. Schwert, G William, 1989. " Why Does Stock Market Volatility Change over Time?," Journal of Finance, American Finance Association, vol. 44(5), pages 1115-1153, December.
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Jarrow, Robert & Larsson, Martin, 2018. "On aggregation and representative agent equilibria," Journal of Mathematical Economics, Elsevier, vol. 74(C), pages 119-127.
    2. Robert Jarrow & Siguang Li, 2021. "Concavity, stochastic utility, and risk aversion," Finance and Stochastics, Springer, vol. 25(2), pages 311-330, April.
    3. Simone Farinelli & Hideyuki Takada, 2022. "The Black–Scholes equation in the presence of arbitrage," Quantitative Finance, Taylor & Francis Journals, vol. 22(12), pages 2155-2170, December.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Hugonnier, Julien, 2012. "Rational asset pricing bubbles and portfolio constraints," Journal of Economic Theory, Elsevier, vol. 147(6), pages 2260-2302.
    2. Chabakauri, Georgy & Han, Brandon Yueyang, 2020. "Collateral constraints and asset prices," Journal of Financial Economics, Elsevier, vol. 138(3), pages 754-776.
    3. Chabakauri, Georgy, 2010. "Asset pricing with heterogeneous investors and portfolio constraints," LSE Research Online Documents on Economics 43142, London School of Economics and Political Science, LSE Library.
    4. Georgy Chabakauri, 2012. "Asset Pricing with Heterogeneous Investors and Portfolio Constraints," FMG Discussion Papers dp707, Financial Markets Group.
    5. Stavros Panageas, 2020. "The Implications of Heterogeneity and Inequality for Asset Pricing," NBER Working Papers 26974, National Bureau of Economic Research, Inc.
    6. Chabakauri, Georgy, 2015. "Asset pricing with heterogeneous preferences, beliefs, and portfolio constraints," Journal of Monetary Economics, Elsevier, vol. 75(C), pages 21-34.
    7. Brunnermeier, Markus K. & Oehmke, Martin, 2013. "Bubbles, Financial Crises, and Systemic Risk," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, volume 2, chapter 0, pages 1221-1288, Elsevier.
    8. Bidian, Florin, 2015. "Portfolio constraints, differences in beliefs and bubbles," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 317-326.
    9. Felipe S. Iachan & Plamen T. Nenov & Alp Simsek, 2021. "The Choice Channel of Financial Innovation," American Economic Journal: Macroeconomics, American Economic Association, vol. 13(2), pages 333-372, April.
    10. Basak, Suleyman, 2004. "Asset Prices with Heterogenous Beliefs," CEPR Discussion Papers 4256, C.E.P.R. Discussion Papers.
    11. Georgy Chabakauri, 2012. "Asset Pricing with Heterogeneous Investors and Portfolio Constraints," 2012 Meeting Papers 636, Society for Economic Dynamics.
    12. Tyler Abbot, 2017. "General Equilibrium Under Convex Portfolio Constraints and Heterogeneous Risk Preferences," Papers 1706.05877, arXiv.org, revised Jun 2018.
    13. Saki Bigio & Eduardo Zilberman, 2020. "Speculation-Driven Business Cycles," Working Papers Central Bank of Chile 865, Central Bank of Chile.
    14. Denis Gromb & Dimitri Vayanos, 2018. "The Dynamics of Financially Constrained Arbitrage," Journal of Finance, American Finance Association, vol. 73(4), pages 1713-1750, August.
    15. He, Zhiguo & Kelly, Bryan & Manela, Asaf, 2017. "Intermediary asset pricing: New evidence from many asset classes," Journal of Financial Economics, Elsevier, vol. 126(1), pages 1-35.
    16. Giglio, Stefano & Severo, Tiago, 2012. "Intangible capital, relative asset shortages and bubbles," Journal of Monetary Economics, Elsevier, vol. 59(3), pages 303-317.
    17. Basak, Suleyman, 2005. "Asset pricing with heterogeneous beliefs," Journal of Banking & Finance, Elsevier, vol. 29(11), pages 2849-2881, November.
    18. Chabakauri, Georgy, 2012. "Asset pricing with heterogeneous investors and portfolio constraints," LSE Research Online Documents on Economics 119046, London School of Economics and Political Science, LSE Library.
    19. Amir Akbari & Francesca Carrieri & Aytek Malkhozov, 2017. "Reversals in Global Market Integration and Funding Liquidity," International Finance Discussion Papers 1202, Board of Governors of the Federal Reserve System (U.S.).
    20. Bian, Jiangze & Da, Zhi & He, Zhiguo & Lou, Dong & Shue, Kelly & Zhou, Hao, 2021. "Margin trading and leverage management," LSE Research Online Documents on Economics 118851, London School of Economics and Political Science, LSE Library.

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:chf:rpseri:rp1357. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Ridima Mittal (email available below). General contact details of provider: https://edirc.repec.org/data/fameech.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.