Equilibria in the CAPM with Nontradeable Endowments
32 Pages Posted: 23 Jan 2014 Last revised: 10 Dec 2015
Date Written: November 2015
This paper establishes existence and uniqueness of equilibria in a capital asset pricing model (CAPM) with non-tradeable endowments. The result is obtained by generalising the classical two-fund separation for asset-demand functions to reduce a multi-variate fixed-point problem to a uni-variate one. The paper highlights the importance of two limiting properties of agents’ risk aversion. First, individual asset demand may become undefined if the limiting slopes of the investor’s indifference curves are finite. Second, agents’ aggregate demand for risk may be bounded from above so that no equilibrium exists if market risk is too large. The paper provides an explicit pricing formula and a generalised security market line and studies the effect of non-traded endowments on asset prices and asset allocations.
Keywords: Portfolio choice, CAPM, Non-tradeable Endowments, Risk Aversion
JEL Classification: G10, C62
Suggested Citation: Suggested Citation