An analysis of mean-variance portfolio selection with varying holding periods

Abstract

In this study, I investigate optimal holding period (investment horizon) for the classical mean-variance portfolio optimization problem. Optimal holding period ex-post is determined using Istanbul Stock Exchange ISE-100 index stocks and Athens Stock Exchange FTSE-40 index stocks data. I extend the approach to other downside risk criteria including expected loss and semi-variance. The analysis involves solving the portfolio optimization problem for a total of 648 cases – two stock exchanges, three different target return levels, three different risk measures and 36 different time periods with rolling data. I discuss the results from the view point of two neighbouring markets: one with an upward trend and the other with a downward trend. The results show that portfolio returns with varying holding periods have a convex structure with an optimal holding period.

Acknowledgements

The author is grateful for constructive comments from an anonymous referee and the participants at conference of the Multinational Finance Society, Athens 2005.