Optimal Convergence Trading
AbstractThis article examines arbitrage investment in a mispriced asset when the mispricing follows the Ornstein-Uhlenbeck process and a credit- constrained investor maximizes a generalization of the Kelly criterion. The optimal differentiable and threshold policies are derived. The optimal differentiable policy is linear with respect to mispricing and risk-free in the long run. The optimal threshold policy calls for investing immediately when the mispricing is greater than zero with the investment amount inversely proportional to the risk aversion parameter. The investment is risky even in the long run. The results are consistent with the belief that credit-constrained arbitrageurs should be risk- neutral if they are to engage in convergence trading.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by EconWPA in its series Finance with number 0401003.
Length: 24 pages
Date of creation: 14 Jan 2004
Date of revision:
Note: Type of Document - pdf; prepared on Win2000; pages: 24; figures: 6
Contact details of provider:
Web page: http://22.214.171.124
arbitrage; leverage; investment strategy;
Other versions of this item:
- G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
This paper has been announced in the following NEP Reports:
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.:
- Wachter, Jessica A., 2002. "Portfolio and Consumption Decisions under Mean-Reverting Returns: An Exact Solution for Complete Markets," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 37(01), pages 63-91, March.
- Cox, John C. & Huang, Chi-fu, 1989. "Optimal consumption and portfolio policies when asset prices follow a diffusion process," Journal of Economic Theory, Elsevier, vol. 49(1), pages 33-83, October.
- Campbell, John Y. & Chan, Yeung Lewis & Viceira, Luis M., 2003.
"A multivariate model of strategic asset allocation,"
Journal of Financial Economics,
Elsevier, vol. 67(1), pages 41-80, January.
- Chan, Yeung Lewis & Viceira, Luis & Campbell, John, 2003. "A Multivariate Model of Strategic Asset Allocation," Scholarly Articles 3163263, Harvard University Department of Economics.
- John Y. Campbell & Yeung Lewis Chan & Luis M. Viceira, 2001. "A Multivariate Model of Strategic Asset Allocation," NBER Working Papers 8566, National Bureau of Economic Research, Inc.
- Campbell, John Y & Chan, Yeung Lewis & Viceira, Luis M, 2001. "A Multivariate Model of Strategic Asset Allocation," CEPR Discussion Papers 3070, C.E.P.R. Discussion Papers.
- Samuelson, Paul A, 1969. "Lifetime Portfolio Selection by Dynamic Stochastic Programming," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 239-46, August.
- Liu, Jun & Longstaff, Francis A, 2000. "Losing Money on Arbitrages: Optimal Dynamic Portfolio Choice in Markets with Arbitrage Opportunities," University of California at Los Angeles, Anderson Graduate School of Management qt48k8f97f, Anderson Graduate School of Management, UCLA.
- Bielecki, Tomasz R. & Pliska, Stanley R. & Sherris, Michael, 2000. "Risk sensitive asset allocation," Journal of Economic Dynamics and Control, Elsevier, vol. 24(8), pages 1145-1177, July.
- Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-57, August.
- John Y. Campbell & Luis M. Viceira, 1999.
"Consumption And Portfolio Decisions When Expected Returns Are Time Varying,"
The Quarterly Journal of Economics,
MIT Press, vol. 114(2), pages 433-495, May.
- John Y. Campbell & Luis M. Viceira, 1996. "Consumption and Portfolio Decisions When Expected Returns are Time Varying," NBER Working Papers 5857, National Bureau of Economic Research, Inc.
- John Y. Campbell & Luis M. Viceira, 1998. "Consumption and Portfolio Decisions When Expected Returns Are Time Varying," Harvard Institute of Economic Research Working Papers 1835, Harvard - Institute of Economic Research.
- Viceira, Luis & Campbell, John, 1999. "Consumption and Portfolio Decisions When Expected Returns are Time Varying," Scholarly Articles 3163266, Harvard University Department of Economics.
- Sanford J. Grossman & Jean-Juc Vila, . "Optimal Dynamic Trading with Leverage Constraints," Rodney L. White Center for Financial Research Working Papers 36-89, Wharton School Rodney L. White Center for Financial Research.
- Grossman, Sanford J. & Vila, Jean-Luc, 1992. "Optimal Dynamic Trading with Leverage Constraints," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 27(02), pages 151-168, June.
- Kim, Tong Suk & Omberg, Edward, 1996. "Dynamic Nonmyopic Portfolio Behavior," Review of Financial Studies, Society for Financial Studies, vol. 9(1), pages 141-61.
- Merton, Robert C, 1973. "An Intertemporal Capital Asset Pricing Model," Econometrica, Econometric Society, vol. 41(5), pages 867-87, September.
- Brennan, Michael J. & Schwartz, Eduardo S. & Lagnado, Ronald, 1997. "Strategic asset allocation," Journal of Economic Dynamics and Control, Elsevier, vol. 21(8-9), pages 1377-1403, June.
- Nicholas Barberis, 2000. "Investing for the Long Run when Returns Are Predictable," Journal of Finance, American Finance Association, vol. 55(1), pages 225-264, 02.
- Yingdong Lv & Bernhard K. Meister, 2009. "Application of the Kelly Criterion to Ornstein-Uhlenbeck Processes," Papers 0903.2910, arXiv.org.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (EconWPA).
If references are entirely missing, you can add them using this form.