This paper studies asset pricing in abitrage-free financial markets in general state space. The mathematical formulation is based on a locally convex topological space for weakly arbitrage-free securities’ structure and a separable Banach space for strictly arbitrage-free securities’ structure. We establish, for these two types of spaces, the weakly arbitrage-free pricing theorem and the strictly arbitrage-free pricing theorem, respectively.
CITATION STYLE
Deng, X., & Zhang, S. (2000). Arbitrage-free asset pricing in general state space. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1983, pp. 551–558). Springer Verlag. https://doi.org/10.1007/3-540-44491-2_80
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