In order to prove the third fundamental theorem of asset pricing for financial markets with infinite lifetime [G. Frahm (2016) Pricing and valuation under the real-world measure, International Journal of Theoretical and Applied Finance 19, 1650006], we shall assume that the discounted price process is locally bounded. Otherwise, some principal results developed by [F. Delbaen & W. Schachermayer (1997) The Banach space of workable contingent claims in arbitrage theory, Annales de l’Institut Henri Poincaré 1, 114–144] cannot be applied.
A New Perspective on the Fundamental Theorem of Asset Pricing for Large Financial Markets
