Mutual Fund Theorem for continuous time markets with random coefficients
We study the optimal investment problem for a continuous time incomplete market model such that the risk-free rate, the appreciation rates and the volatility of the stocks are all random; they are assumed to be independent from the driving Brownian motion, and they are supposed to be currently observable. It is shown that some weakened version of Mutual Fund Theorem holds for this market for general class of utilities; more precisely, it is shown that the supremum of expected utilities can be achieved on a sequence of strategies with a certain distribution of risky assets that does not depend on risk preferences described by different utilities.
|Date of creation:||Nov 2009|
|Date of revision:|
|Publication status:||Published in Theory and Decision (2014) v. 76, iss. 2, pp. 179--199|
|Contact details of provider:|| Web page: http://arxiv.org/|
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.:
- Martin Kulldorff & Ajay Khanna, 1999. "A generalization of the mutual fund theorem," Finance and Stochastics, Springer, vol. 3(2), pages 167-185.
- M. J. Brennan, 1998. "The Role of Learning in Dynamic Portfolio Decisions," Review of Finance, European Finance Association, vol. 1(3), pages 295-306.
- Walter Schachermayer & Mihai Sîrbu & Erik Taflin, 2009. "In which financial markets do mutual fund theorems hold true?," Finance and Stochastics, Springer, vol. 13(1), pages 49-77, January.
- N. Dokuchaev & U. Haussmann, 2001.
"Optimal portfolio selection and compression in an incomplete market,"
Taylor & Francis Journals, vol. 1(3), pages 336-345, March.
- Nikolai Dokuchaev & Ulrich Haussmann, 2002. "Optimal portfolio selection and compression in an incomplete market," Papers math/0207260, arXiv.org.
When requesting a correction, please mention this item's handle: RePEc:arx:papers:0911.3194. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (arXiv administrators)
If references are entirely missing, you can add them using this form.