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Complete and incomplete financial markets in multi-good economies

Subject

Finance

Publishing details

IFA Working Paper

Authors / Editors

Ehling P;Heyerdahl-Larsen C

Publication Year

2012

Abstract

In several multi-good models in the literature we see in equilibrium that the span of the stocks drop relative to the span of the dividends, which is not a desirable feature. Therefore, in this paper, we investigate conditions for endogenous completeness and incompleteness in continuous-time financial markets driven by diffusion processes with multiple consumption goods and heterogeneous agents. We show that for a class of utility functions, including unit elasticity of substitution, the span of the risky assets is strictly smaller than the span of dividends. We find that, unlike in one-good economies, preferences matter for completeness through relative commodity prices. A sufficient condition for market completeness is that a matrix depending on preferences and dividends is invertible. We show that market completeness can depend on the choice of numeraire good, as changing the numeraire good simultaneously implies a change of the risk-free asset and consequently the asset structure.

Keywords

Multi-Good Economies, Financial Market Incompleteness, Financial Market Completeness

Series

IFA Working Paper

Available on ECCH

No


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