Dynamic Arbitrage‐Free Asset Pricing with Proportional Transaction Costs
Shunming Zhang, Chunlei Xu, Xiaotie Deng
Abstract
Shunming Zhang, Chunlei Xu, Xiaotie Deng
Abstract
This paper studies multiperiod asset pricing theory in arbitrage‐free financial markets with proportional transaction costs. The mathematical formulation is based on a Euclidean space for weakly arbitrage‐free security markets and strongly arbitrage‐free security markets. We establish the weakly arbitrage‐free pricing theorem and the strongly arbitrage‐free pricing theorem.
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This paper studies multiperiod asset pricing theory in arbitrage‐free financial markets with proportional transaction costs. The mathematical formulation is based on a Euclidean space for weakly arbitrage‐free security markets and strongly arbitrage‐free security markets. We establish the weakly arbitrage‐free pricing theorem and the strongly arbitrage‐free pricing theorem.
Key concepts: Arbitrage, Arbitrage pricing theory, Risk arbitrage, Fixed income arbitrage, Fundamental theorem of asset pricing, Index arbitrage, Investment theory, Variable pricing