A Simple Characterization of Dynamic Completeness in Continuous Time

Theodoros Diasakos

No 2013-91, SIRE Discussion Papers from Scottish Institute for Research in Economics (SIRE)

Abstract: This paper investigates dynamic completeness of financial markets in which the underlying risk process is a multi-dimensional Brownian motion and the risky securities dividends geometric Brownian motions. A sufficient condition, that the instantaneous dispersion matrix of the relative dividends is non-degenerate, was established recently in the literature for single-commodity, pure-exchange economies with many heterogenous agents, under the assumption that the intermediate flows of all dividends, utilities, and endowments are analytic functions. For the current setting, a different mathematical argument in which analyticity is not needed shows that a slightly weaker condition suffices for general pricing kernels. That is, dynamic completeness obtains irrespectively of preferences, endowments, and other structural elements (such as whether or not the budget constraints include only pure exchange, whether or not the time horizon is finite with lump-sum dividends available on the terminal date, etc.)

Keywords: Dynamically-Complete Markets; Geometric Brownian Motion; Asset Pricing (search for similar items in EconPapers)
Date: 2013
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://hdl.handle.net/10943/508
Our link check indicates that this URL is bad, the error code is: 404 Not Found

Related works:
Working Paper: A Simple Characterization of Dynamic Completeness in Continuous Time (2011)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:edn:sirdps:508

Access Statistics for this paper

More papers in SIRE Discussion Papers from Scottish Institute for Research in Economics (SIRE) 31 Buccleuch Place, EH8 9JT, Edinburgh. Contact information at EDIRC.
Bibliographic data for series maintained by Research Office ().