On the existence of competitive equilibrium in frictionless and incomplete stochastic asset markets

2017 ◽  
Vol 11 (4) ◽  
pp. 455-477 ◽  
Author(s):  
Robert Jarrow
2011 ◽  
Vol 22 (1) ◽  
pp. 21-41 ◽  
Author(s):  
Scott Dale Gilbert

Abstract The present work considers the problem of valuing a future income stream in a perfect foresight economy. In this setting, with competitive equilibrium in labor and asset markets, market valuation of labor-generated income streams can be very simple. However, it can also be undone by moral hazard, in which case valuation may be based instead on fair compensation. I show that perfect foresight valuation emerges somewhat imperfectly in the forensic economics literature. To apply this type of valuation, the economist must form an expectation E[P] about perfect foresight price P. I consider several models of this expectation, some of which yield standard present value equations. I find that, while standard equations “fit” historical data well in some respects, they miss some dynamics that are better captured by more advanced econometric methods.


2012 ◽  
Vol 16 (S1) ◽  
pp. 33-51 ◽  
Author(s):  
Aditya Goenka ◽  
Cuong Le Van ◽  
Manh-Hung Nguyen

This paper proves the existence of competitive equilibrium in a single-sector dynamic economy with heterogeneous agents, elastic labor supply, and complete asset markets. The method of proof relies on some recent results concerning the existence of Lagrange multipliers in infinite-dimensional spaces and their representation as a summable sequence and a direct application of the inward-boundary fixed point theorem.


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