Investment and Arbitrage Opportunities with Short Sales Constraints
Posted: 15 Aug 2007
In this paper we consider a family of investment project defined by their deterministic cash flows. We assume stationarity - that is, projects available today are the same as those available in the past. In this framework, we prove that the absence of arbitrage opportunities is equivalent to the existence of a discount rate such that the net value is equal to zero otherwise. Our result allows for an infinite number of projects and for continuous as well as discrete cash flows, generalizing similar results established by Cantor et lippman (1983,1995) and Andler and gales (1997) in a discrete time framework and for a finite number of project.
Keywords: Investment, short sales constraint, stationnary, arbitrage, radon measure, Laplace transform.
JEL Classification: E22, E29, E44, G10, G11
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