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Nonnegative Wealth, Absence of Arbitrage, and Feasible Consumption Plans

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Author Info
Philip H. Dybvig (Cowles Foundation, Yale University)
Chi-fu Huang (MIT)

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Abstract

A restriction to nonnegative wealth is sufficient to preclude all arbitrage opportunities in financial models that have risk neutral probabilities that are valid for all simple strategies. Imposing nonnegative wealth does not constrain agents from making the choice they would make under the standard integrability condition. This conclusion does not depend on whether the markets are complete.

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Paper provided by Cowles Foundation, Yale University in its series Cowles Foundation Discussion Papers with number 860.

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Length: 20 pages
Date of creation: Feb 1988
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Handle: RePEc:cwl:cwldpp:860

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Postal: Cowles Foundation, Yale University, Box 208281, New Haven, CT 06520-8281 USA

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Keywords: Investments; free lunch; arbitrage; option pricing; continuous time;

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Cox, John C & Ross, Stephen A, 1976. "A Survey of Some New Results in Financial Option Pricing Theory," Journal of Finance, American Finance Association, vol. 31(2), pages 383-402, May. [Downloadable!] (restricted)
  2. Cox, John C. & Ross, Stephen A. & Rubinstein, Mark, 1979. "Option pricing: A simplified approach," Journal of Financial Economics, Elsevier, vol. 7(3), pages 229-263, September. [Downloadable!] (restricted)
  3. Duffie, J Darrell & Huang, Chi-fu, 1985. "Implementing Arrow-Debreu Equilibria by Continuous Trading of Few Long-lived Securities," Econometrica, Econometric Society, vol. 53(6), pages 1337-56, November. [Downloadable!] (restricted)
  4. Huang, Chi-fu, 1985. "Information structures and viable price systems," Journal of Mathematical Economics, Elsevier, vol. 14(3), pages 215-240, June. [Downloadable!] (restricted)
  5. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-54, May-June. [Downloadable!] (restricted)
  6. Cox, John C. & Huang, Chi-fu., 1987. "Optimal consumption and portfolio policies when asset prices follow a diffusion process," Working papers 1926-87., Massachusetts Institute of Technology (MIT), Sloan School of Management. [Downloadable!]
  7. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Wang, Jiang, 1959-, 1995. "The term structure of interest rates in a pure exchange economy with heterogeneous investors," Working papers 3839-95., Massachusetts Institute of Technology (MIT), Sloan School of Management. [Downloadable!]
  2. Elyès Jouini, 2003. "Market imperfections , equilibrium and arbitrage," Post-Print halshs-00167131_v1, HAL. [Downloadable!]
    Other versions:
  3. Vassilis A. Hajivassiliou & Yannis M. Ioannides, 1992. "A Note on the Dual Approach to the Existence and Characterization of Optimal Consumption Decisions Under Uncertainty and Liquidity Constraints," Cowles Foundation Discussion Papers 1018, Cowles Foundation, Yale University. [Downloadable!]
  4. Jun Liu & Francis Longstaff & Jun Pan, 2001. "Dynamic Asset Allocation with Event Risk," University of California at Los Angeles, Anderson Graduate School of Management 1001, Anderson Graduate School of Management, UCLA. [Downloadable!]
  5. Stephen LeRoy, 2001. "Infinite Portfolios," University of California at Santa Barbara, Economics Working Paper Series wp8-01, Department of Economics, UC Santa Barbara. [Downloadable!]
  6. Elyès Jouini & Hédi Kallal, 1999. "Viability and Equilibrium in Securities Markets with Frictions," New York University, Leonard N. Stern School Finance Department Working Paper Seires 99-036, New York University, Leonard N. Stern School of Business-. [Downloadable!]
    Other versions:
  7. Jose Fajardo Barbachan, 2000. "Optimal Consumption and Investment with Levy Processes," Econometric Society World Congress 2000 Contributed Papers 1146, Econometric Society. [Downloadable!]
    Other versions:
  8. Hong Liu & Jianjun Miao, 2006. "Managerial Preferences, Corporate Governance, and Financial Structure," Boston University - Department of Economics - Working Papers Series WP2006-020, Boston University - Department of Economics. [Downloadable!]
  9. Jiang Wang, 1995. "The Term Structure of Interest Rates in a Pure Exchange Economy with Heterogeneous Investors," NBER Working Papers 5172, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  10. Cox, John C. & Huang, Chi-fu., 1989. "A variational problem arising in financial economics," Working papers 2110-89., Massachusetts Institute of Technology (MIT), Sloan School of Management. [Downloadable!]
  11. Dimitris Bertsimas & Leonid Kogan & Andrew W. Lo, 1997. "Pricing and Hedging Derivative Securities in Incomplete Markets: An E-Aritrage Model," NBER Working Papers 6250, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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