Imperfect Information Leads to Complete Markets if Dividends are Diffusions
AbstractA pure exchange economy with a financial market is studied where aggregate dividends are modeled as a diffusion. The dynamics of the diffusion are allowed to depend on factors which are unobservable to the agents and have to be estimated. With perfect information, the asset market would be incomplete because there are more factors than traded assets. Imperfect information reduces the number of observable risks, but also the number of admissible portfolio strategies. It is shown that, as long as the observable dividend stream is a diffusion, the asset market is complete. It is therefore possible to establish the existence of an equilibrium with dynamically complete markets that leads to the same allocation as the Arrow-Debreu equilibrium.
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Bibliographic InfoPaper provided by EconWPA in its series Finance with number 9808002.
Length: 28 pages
Date of creation: 05 Aug 1998
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Note: Type of Document - pdf-file; prepared on PC-TEX; pages: 28
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Complete Markets; General Equilibrium; Imperfect Information; Asset Pricing;
Find related papers by JEL classification:
- D5 - Microeconomics - - General Equilibrium and Disequilibrium
- G1 - Financial Economics - - General Financial Markets
This paper has been announced in the following NEP Reports:
- NEP-ALL-1998-10-02 (All new papers)
- NEP-FMK-1998-10-08 (Financial Markets)
- NEP-MIC-1998-10-02 (Microeconomics)
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.:
- Ioannis Karatzas & Xlng-Xlong Xue, 1991. "A Note On Utility Maximization Under Partial Observations," Mathematical Finance, Wiley Blackwell, vol. 1(2), pages 57-70.
- Mas-Colell, Andreu & Zame, William R., 1991. "Equilibrium theory in infinite dimensional spaces," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 34, pages 1835-1898 Elsevier.
- Radner, Roy, 1972. "Existence of Equilibrium of Plans, Prices, and Price Expectations in a Sequence of Markets," Econometrica, Econometric Society, vol. 40(2), pages 289-303, March.
- 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.
- Feldman, David, 1989. " The Term Structure of Interest Rates in a Partially Observable Econom y," Journal of Finance, American Finance Association, vol. 44(3), pages 789-812, July.
- Duffie, Darrell & Zame, William, 1989.
"The Consumption-Based Capital Asset Pricing Model,"
Econometric Society, vol. 57(6), pages 1279-97, November.
- Aliprantis, Charalambos D., 1997. "Separable utility functions," Journal of Mathematical Economics, Elsevier, vol. 28(4), pages 415-444, November.
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