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Dynamic Arbitrage-free Asset Pricing with Proportional Transaction Costs

Xiaotie Deng, Chunlei Xu, Shunming Zhang

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Abstract

This paper studies arbitrage-free conditions for multiperiod asset pricing in frictional financial markets with proportional transaction costs. We consider the Euclidean space for weakly arbitrage-free security markets and Strongly arbitrage-free security markets, and establish the weakly arbitrage-free pricing theorem and the strongly arbitrage-free pricing theorem.

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This paper studies arbitrage-free conditions for multiperiod asset pricing in frictional financial markets with proportional transaction costs. We consider the Euclidean space for weakly arbitrage-free security markets and Strongly arbitrage-free security markets, and establish the weakly arbitrage-free pricing theorem and the strongly arbitrage-free pricing theorem.

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Available abstract

This paper studies arbitrage-free conditions for multiperiod asset pricing in frictional financial markets with proportional transaction costs. We consider the Euclidean space for weakly arbitrage-free security markets and Strongly arbitrage-free security markets, and 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, Index arbitrage, Fundamental theorem of asset pricing, Variable pricing, Transaction cost

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