Performance analysis—both prospective and retrospective—plays an important role in business and investing. Consider some examples:
Such assessments must take risk into account. Since a portfolio manager can boost expected returns merely by increasing his systematic risk (beta), performance evaluations must adjust returns for risk. All else being equal, a firm would rather invest in a low-risk business line than one that is equally profitable but more risky. And, obviously, an investor allocating her assets must balance risk against expected returns. Stated another way, any performance assessment should balance risk and reward. That is what a risk-adjustment performance metric (RAPM) does. A RAPM is a performance metric that assesses reward with some adjustment for risks. What we mean by reward depends on the application. It might be revenues, profits, returns, etc. Similarly, risk might be measured as volatility, beta, value-at-risk, etc. Various RAPMs are employed in finance. Some were developed during the late 1960s for testing the efficient market hypothesis and are now used by practitioners for asset allocation or performance assessment. These include the Treynor ratio, the Sharpe ratio and Jensen's alpha. Other RAPMs—including ROC and its various RAROC interpretations—were developed during the 1980s and 1990s to support economic capital allocation.
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