Abstract
We study the implications of the absence of arbitrage possibilities on asset pricing with and without personal income taxes. While no-arbitrage conditions in frictionless markets have sufficiently been investigated, personal income taxation is still beyond of being fully integrated into arbitrage theory. In extending the primary analysis of Ross (J Polit Econ 95:371–393, 1987) to a multiperiod framework allowing for dynamic trading strategies, we take a major step in this direction. The existence of a positive linear pricing functional is proven in a general discrete time and discrete state space model. In order to obtain the linearity of the pricing functional, one has to allow for short sales or, at most, to restrict sales to positions initially given. Hints at far-reaching economic applications are available.
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