Abstract

Exact solutions are presented for the mean, variance, and skewness of compound portfolio returns, with and without periodic rebalancing, in a setting where single-period returns are symmetric. More frequent rebalancing reduces portfolio volatility and is unambiguously preferred by mean-variance investors in the absence of investment skill. However, more frequent rebalancing and broader diversification both reduce compound return skewness. An investor with a sufficiently strong taste for skewness may prefer a more concentrated portfolio that is rebalanced less frequently, even in the absence of investment skill, particularly if the investment horizon is long.

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