Performance measurement should not be reduced to the evaluation of fund returns alone, but must also integrate other fund elements that would be of interest to investors, such as the measure of risk taken. Several other aspects are also part of performance measurement: evaluating if managers have succeeded in reaching their objective, i.e. if their return was sufficiently high to reward the risks taken; how they compare to their peers; and finally, whether the portfolio management results were due to luck or the manager's skill. The need to answer all these questions has led to the development of more sophisticated performance measures, many of which originate in modern portfolio theory. Modern portfolio theory established the quantitative link that exists between portfolio risk and return. The capital asset pricing model (CAPM) developed by Sharpe (1964) highlighted the notion of rewarding risk and produced the first performance indicators, be they risk-adjusted ratios (Sharpe ratio, information ratio) or differential returns compared to benchmarks (alphas). The Sharpe ratio is the simplest and best known performance measure. It measures the return of a portfolio in excess of the risk-free rate, compared to the total risk of the portfolio. This measure is said to be absolute, as it does not refer to any benchmark, avoiding drawbacks related to a poor choice of benchmark. Meanwhile, it does not allow the separation of the performance of the market in which the portfolio is invested from that of the manager. The information ratio is a more general form of the Sharpe ratio in which the risk-free asset is replaced by a benchmark portfolio. This measure is relative, as it evaluates portfolio performance in reference to a benchmark, making the result strongly dependent on this benchmark choice.