European Actuarial Journal, Vol. 1, No. 1 (supplement 2), pp. 303-327, 2011
26 Pages Posted: 20 Oct 2010 Last revised: 15 Mar 2013
Date Written: September 28, 2009
A common approach in portfolio selection is to characterise a portfolio of assets by a desired property, the reward, and something undesirable, the risk. These properties are often identified with mean and variance of returns, respectively, even though, given the non-Gaussian nature of financial time series, alternative specifications like partial and conditional moments, quantiles, and drawdowns seem theoretically more appropriate. We analyse the empirical performance of portfolios selected by optimising risk-reward ratios constructed from such alternative functions. We find that in many cases these portfolios outperform our benchmark (minimum-variance), in particular when long-run returns are concerned. We also find, however, that all the strategies tested (including minimum-variance) are sensitive to relatively small changes in the data. The main theme throughout our analysis is that minimising risk, as opposed to maximising reward, leads to good out-of-sample performance. Adding a reward-function to the selection criterion usually improves a given strategy only marginally.
Keywords: Portfolio optimisation, Optimisation heuristics, Downside risk
JEL Classification: G11
Suggested Citation: Suggested Citation
Gilli, Manfred and Schumann, Enrico, Risk-Reward Optimisation for Long-Run Investors: An Empirical Analysis (September 28, 2009). European Actuarial Journal, Vol. 1, No. 1 (supplement 2), pp. 303-327, 2011. Available at SSRN: https://ssrn.com/abstract=1694442