The relaxed investor and parameter uncertainty
AbstractWe firstly consider an investor faced with the classical Merton problem of optimal investment in a log-Brownian asset and a fixed-interest bond, but constrained only to change portfolio (and, if relevant, consumption) choices at times which are a multiple of h. We show that the cost of this constraint can be well described by a power series expansion in h, the first few terms of which we determine explicitly. Typically, this cost is not too large. We then compare this with the cost of parameter uncertainty, as modelled by supposing that the rate of return on the share has a prior Gaussian distribution. We find that the effect of parameter uncertainty is typically bigger than the effects of infrequent policy review.
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 InfoArticle provided by Springer in its journal Finance and Stochastics.
Volume (Year): 5 (2001)
Issue (Month): 2 ()
Note: received: November 1999; final version received: June 2000
Contact details of provider:
Web page: http://www.springerlink.com/content/101164/
Find related papers by JEL classification:
- C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
- D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
- D90 - Microeconomics - - Intertemporal Choice - - - General
- G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
You can help add them by filling out this form.
CitEc Project, subscribe to its RSS feed for this item.
- MacLean, Leonard C. & Foster, Michael E. & Ziemba, William T., 2007. "Covariance complexity and rates of return on assets," Journal of Banking & Finance, Elsevier, vol. 31(11), pages 3503-3523, November.
- MacLean, Leonard & Zhao, Yonggan & Ziemba, William, 2006. "Dynamic portfolio selection with process control," Journal of Banking & Finance, Elsevier, vol. 30(2), pages 317-339, February.
- Larry Epstein & Martin Schneider, 2006.
"Learning Under Ambiguity,"
RCER Working Papers
527, University of Rochester - Center for Economic Research (RCER).
- Nicole Branger & Antje Mahayni, 2011. "Tractable hedging with additional hedge instruments," Review of Derivatives Research, Springer, vol. 14(1), pages 85-114, April.
- Xavier Gabaix & David Laibson & Guillermo Moloche & Stephen Weinberg, 2005. "Information Acquisition: Experimental Analysis of a Boundedly Rational Model," Levine's Bibliography 666156000000000480, UCLA Department of Economics.
- S\"oren Christensen & Marc Wittlinger, 2012. "Optimal relaxed portfolio strategies for growth rate maximization problems with transaction costs," Papers 1209.0305, arXiv.org, revised Jun 2013.
- Peter Diesinger & Holger Kraft & Frank Seifried, 2010. "Asset allocation and liquidity breakdowns: what if your broker does not answer the phone?," Finance and Stochastics, Springer, vol. 14(3), pages 343-374, September.
- Larsen, Kasper & Zitkovic, Gordan, 2007. "Stability of utility-maximization in incomplete markets," Stochastic Processes and their Applications, Elsevier, vol. 117(11), pages 1642-1662, November.
- Yiannis Kamarianakis & Anastasios Xepapadeas, 2006. "Controlling the risky fraction process with an ergodic criterion," Working Papers 0710, University of Crete, Department of Economics.
- Ralf Korn, 2008. "Optimal portfolios: new variations of an old theme," Computational Management Science, Springer, vol. 5(4), pages 289-304, October.
- Branger, Nicole & Mahayni, Antje & Schneider, Judith C., 2010. "On the optimal design of insurance contracts with guarantees," Insurance: Mathematics and Economics, Elsevier, vol. 46(3), pages 485-492, June.
- Hardy Hulley & T. A. McWalter, 2008. "Quadratic Hedging of Basis Risk," Research Paper Series 225, Quantitative Finance Research Centre, University of Technology, Sydney.
- Angus A Brown & L C G Rogers, 2010. "Diverse Beliefs," Papers 1001.1450, arXiv.org.
- Richard Martin & Torsten Sch\"oneborn, 2011. "Mean Reversion Pays, but Costs," Papers 1103.4934, arXiv.org.
- Yao, Jing & Li, Duan, 2013. "Bounded rationality as a source of loss aversion and optimism: A study of psychological adaptation under incomplete information," Journal of Economic Dynamics and Control, Elsevier, vol. 37(1), pages 18-31.
- Gabaix, Xavier & Laibson, David Isaac & Moloche, Guillermo & Stephen, Weinberg, 2003. "The allocation of attention: theory and evidence," MPRA Paper 47339, University Library of Munich, Germany.
- Branger, Nicole & Hansis, Alexandra, 2012. "Asset allocation: How much does model choice matter?," Journal of Banking & Finance, Elsevier, vol. 36(7), pages 1865-1882.
- Michael Ludkovski & Hyekyung Min, 2010. "Illiquidity Effects in Optimal Consumption-Investment Problems," Papers 1004.1489, arXiv.org, revised Sep 2010.
- Albina Danilova & Michael Monoyios & Andrew Ng, 2009. "Optimal investment with inside information and parameter uncertainty," Papers 0911.3117, arXiv.org, revised Feb 2010.
- Henderson, Vicky & Hobson, David G., 2002. "Real options with constant relative risk aversion," Journal of Economic Dynamics and Control, Elsevier, vol. 27(2), pages 329-355, December.
- Dibooglu, Sel & Kenc, Turalay, 2009. "Welfare cost of inflation in a stochastic balanced growth model," Economic Modelling, Elsevier, vol. 26(3), pages 650-658, May.
- Larsen, Linda Sandris & Munk, Claus, 2012. "The costs of suboptimal dynamic asset allocation: General results and applications to interest rate risk, stock volatility risk, and growth/value tilts," Journal of Economic Dynamics and Control, Elsevier, vol. 36(2), pages 266-293.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Guenther Eichhorn) or (Christopher F Baum).
If references are entirely missing, you can add them using this form.