 Utility maximization with partial informationPeter Lakner Stochastic Processes and their Applications, 1995, vol. 56, issue 2, 247-273 Abstract: In the present paper we address two maximization problems: the maximization of expected total utility from consumption and the maximization of expected utility from terminal wealth. The price process of the available financial assets is assumed to satisfy a system of functional stochastic differential equations. The difference between this paper and the existing papers on the same subject is that here we require the consumption and investment processes to be adapted to the natural filtration of the price processes. This requirement means that the only available information for agents in this economy at a certain time are the prices of the financial assets up to that time. The underlying Brownian motion and the drift process in the system of equations for the asset prices are not directly observable. Particular details will be worked out for the "Bayesian" example, when the dispersion coefficient is a fixed invertible matrix and the drift vector is an Fo-measurable, unobserved random variable with known distribution. Keywords: Security; price; process; Stochastic; differential; equation; Investment; and; consumption; Utility; maximization (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:spapps:v:56:y:1995:i:2:p:247-273 Ordering information: This journal article can be ordered from Access Statistics for this article Stochastic Processes and their Applications is currently edited by T. Mikosch More articles in Stochastic Processes and their Applications from Elsevier |
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