Abstract
We solve the optimal portfolio problem of an investor in a complete market who is liable to deferred taxes due on capital gains, irrespective of their origin. In a Brownian framework we explicitly determine optimal strategies. Our analysis is based on a modification of the standard martingale method applied to the after-tax utility function, which exhibits a kink at the level of initial wealth, and Clark’s formula. Numerical results show that the Merton strategy is close to optimal under taxation.
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Seifried, F.T. Optimal investment with deferred capital gains taxes. Math Meth Oper Res 71, 181–199 (2010). https://doi.org/10.1007/s00186-009-0291-8
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DOI: https://doi.org/10.1007/s00186-009-0291-8