The Second Fundamental Theorem of Asset Pricing: A New Approach.

This article presents a new definition of market completeness that is independent of the notions of no arbitrage and equivalent martingale measures. Our definition has many advantages, all shown herein. First, it preserves the Second Fundamental Theorem of Asset Pricing, even in complex economies. Second, under our definition, the market can be complete yet arbitrage opportunities exist. This is important in practice, and stands in contrast to the traditional definitions. Third, under the assumptions of no arbitrage and when used in the standard models, our definition is equivalent to the traditional one. Article published by Oxford University Press on behalf of the Society for Financial Studies in its journal, The Review of Financial Studies.