Optimum portfolio diversification in a general continuous-time model
AbstractThe problem of determining optimal portfolio rules is considered. Prices are allowed to be stochastic processes of a fairly general nature, expressible as stochastic integrals with respect to semimartingales. The set of stochastic differential equations assumed to describe the price behaviour still allows us to handle both the associated control problems and those of statistical inference. The greater generality this approach offers compared to earlier treatments allows for a more realistic fit to real price data. with the obvious implications this has for the applicability of the theory. The additional problem of including consumption is also considered in some generality. The associated Bellman equation has been solved in certain particular situations for illustration. Problems with possible reserve funds, borrowing and shortselling might be handled in the present framework. The problem of statistical inference concerning the parameters in the semimartingale price processes will be treated elsewhere.
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.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Bibliographic InfoArticle provided by Elsevier in its journal Stochastic Processes and their Applications.
Volume (Year): 18 (1984)
Issue (Month): 1 (September)
Contact details of provider:
Web page: http://www.elsevier.com/wps/find/journaldescription.cws_home/505572/description#description
You can help add them by filling out this form.
CitEc Project, subscribe to its RSS feed for this item.
- Dieckmann, Stephan & Gallmeyer, Michael, 2005.
"The equilibrium allocation of diffusive and jump risks with heterogeneous agents,"
Journal of Economic Dynamics and Control,
Elsevier, vol. 29(9), pages 1547-1576, September.
- Stephan Dieckmann & Michael Gallmeyer, . "The Equilibrium Allocation of Diffusive and Jump Risks with Heterogeneous Agents," GSIA Working Papers 2003-E36, Carnegie Mellon University, Tepper School of Business.
- Sennewald, Ken, 2005. "Controlled Stochastic Differential Equations under Poisson Uncertainty and with Unbounded Utility," Dresden Discussion Paper Series in Economics 03/05, Dresden University of Technology, Faculty of Business and Economics, Department of Economics.
- Sennewald, Ken, 2007. "Controlled stochastic differential equations under Poisson uncertainty and with unbounded utility," Journal of Economic Dynamics and Control, Elsevier, vol. 31(4), pages 1106-1131, April.
- Goll, Thomas & Kallsen, Jan, 2000. "Optimal portfolios for logarithmic utility," Stochastic Processes and their Applications, Elsevier, vol. 89(1), pages 31-48, September.
- Sanjiv Ranjan Das & Raman Uppal, 2004.
"Systemic Risk and International Portfolio Choice,"
Journal of Finance,
American Finance Association, vol. 59(6), pages 2809-2834, December.
- Marcel Prokopczuk, 2011. "Optimal portfolio choice in the presence of domestic systemic risk: empirical evidence from stock markets," Decisions in Economics and Finance, Springer, vol. 34(2), pages 141-168, November.
- Framstad, Nils Chr. & Oksendal, Bernt & Sulem, Agnes, 2001. "Optimal consumption and portfolio in a jump diffusion market with proportional transaction costs," Journal of Mathematical Economics, Elsevier, vol. 35(2), pages 233-257, April.
- Sennewald, Ken & Wälde, Klaus, 2005. ""Itô's Lemma" and the Bellman equation: An applied view," Dresden Discussion Paper Series in Economics 04/05, Dresden University of Technology, Faculty of Business and Economics, Department of Economics.
- Sennewald, Ken & Wälde, Klaus, 2005.
""Ito's Lemma" and the Bellman equation for Poisson processes: An applied view,"
W.E.P. - WÃ¼rzburg Economic Papers
58, University of Würzburg, Chair for Monetary Policy and International Economics.
- Ken Sennewald & Klaus Wälde, 2006. "“Itô's Lemma” and the Bellman Equation for Poisson Processes: An Applied View," Journal of Economics, Springer, vol. 89(1), pages 1-36, October.
- Ken Sennewald & Klaus Waelde, 2006. "“Itô’s Lemma“ and the Bellman Equation for Poisson Processes: An Applied View," CESifo Working Paper Series 1684, CESifo Group Munich.
- Branger, Nicole & Kraft, Holger & Meinerding, Christoph, 2014. "Partial information about contagion risk, self-exciting processes and portfolio optimization," Journal of Economic Dynamics and Control, Elsevier, vol. 39(C), pages 18-36.
- Morten Christensen & Eckhard Platen, 2004. "A General Benchmark Model for Stochastic Jump Sizes," Research Paper Series 139, Quantitative Finance Research Centre, University of Technology, Sydney.
- Stephan Dieckmann & Michael Gallmeyer, 2006. "Pricing Rare Event Risk in Emerging Markets," 2006 Meeting Papers 305, Society for Economic Dynamics.
- Liu, Jun & Longstaff, Francis & Pan, Jun, 2001. "Dynamic Asset Allocation with Event Risk," University of California at Los Angeles, Anderson Graduate School of Management qt9fm6t5nb, Anderson Graduate School of Management, UCLA.
- Wee, In-Suk, 1999. "Stability for multidimensional jump-diffusion processes," Stochastic Processes and their Applications, Elsevier, vol. 80(2), pages 193-209, April.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei).
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 references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.