he most widely known risk-adjusted performance measure is the Sharpe ratio. It measures the relationship between the risk premium (mean excess returns) and the standard deviation of the returns generated by the fund, portfolio, or asset being measured (Sharpe 1966). Hedge funds and other alternative investments, however, are prone to generating returns that have a nonnormal distribution. For this reason, Brooks and Kat (2002), Mahdavi (2004), Sharma (2004), and Sharpe (2007), among others, have claimed that these funds cannot be adequately evaluated by using the Sharpe ratio. This problem motivated the development of numerous new performance measures, including Omega, the Sortino ratio, the Calmar ratio, and the modified Sharpe ratio, all of which are currently being debated as measures of performance in the hedge fund literature (for an overview, see Lhabitant 2004).In a recent study, Eling and Schuhmacher (2007) compared these new performance measures with the Sharpe ratio by using the data of 2,763 hedge funds. Despite hedge fund returns' significant deviation from a normal distribution, the Sharpe ratio and the other measures in their study resulted in virtually identical rank ordering for the hedge funds. Eling and Schuhmacher analyzed only hedge funds, however, and thus did not consider whether this result is also true for funds investing in other asset classes.The aim of the study reported here was to address this issue. Combining two large datasets, I analyzed 38,954 investment funds concentrated in a large number of asset classes, including stocks, bonds, real estate, hedge funds, funds of hedge funds, commodity trading advisers (CTAs), and commodity pool operators (CPOs).
Performance MeasuresIn risk-adjusted performance measurement, the fund return is adjusted in relation to a suitable risk measure. In investment fund analysis, the Sharpe ratio is often chosen to be the performance measure and the analyst compares the Sharpe ratio of the fund of interest with the Sharpe ratios of other funds or market indices (see, for example, Ackermann, McEnally, and Ravenscraft 1999;Schneeweis, Kazemi, and Martin 2002).In the context of hedge funds, use of the Sharpe ratio has been strongly criticized because hedge fund returns do not exhibit a normal distribution.
1For example, use of derivative instruments results in an asymmetrical return distribution, and fat tails, which leads to the danger that use of standard risk and performance measures will underestimate risk and overestimate risk-adjusted performance.2 To avoid this problem, some researchers recommend the use of newer performance measures that illustrate the risk of loss (Pedersen and Rudholm-Alfvin 2003;Lhabitant 2004).The newer performance measures differ from the Sharpe ratio in that standard deviation is replaced by an alternative risk measure. The alternative risk measures considered in this study areMartin Eling is at the University of St. Gallen, Switzerland, and currently visiting professor at the University of Wisconsin-Madison.