Quantifying Investment Risk: The Sharpe RatioMuch as coaches use statistics to help them evaluate the performance of their sports team and individual players, plan sponsors can turn to quantitative tools to aid them in selecting investment options and monitoring their performance. One of the most valuable is the Sharpe ratio, a frequently used formula for comparing investments to determine which offer the most return for a given amount of risk. Simply put, the ratio measures riskadjusted returns. The Sharpe ratio is essential for making a fully informed decision  not just one based on past returns. Riskadjusted return is a key consideration for fiduciaries in carrying out their responsibility to offer an investment menu that enables participants to assemble portfolios with a wide variety of risk and reward combinations. Specifically, the Sharpe ratio measures the amount of return earned per unit of risk. It was devised in the 1960s by William F. Sharpe, a pioneering portfolio theorist, former finance professor at Stanford University and a Nobel Laureate in economics. The ratio  which can be applied to individual securities, pooled funds such as mutual funds, and portfolios  is commonly used to rank mutual funds with similar objectives over a given period of time. More versatile than some other risk measurement tools, it can be employed to compare investments from different asset classes. Calculating Sharpe Ratios
In this formula, riskfree return is usually represented by the yield on a 90day Treasury bill. Standard deviation, a common measure of volatility, measures the degree to which an investment's returns over a given period  three years for example  varied from the investment's average return over that period. The higher the standard deviation, the greater the variation. A hypothetical example shows how the Sharpe ratio is determined. If a fund produced an average annual return of 12% over the most recent three years, with a standard deviation of 10, and the Tbill rate averaged 4%, the fund's Sharpe ratio would be .80 (12%  4% ÷ 10 = .80). Putting Sharpe Ratios to WorkIn practice, it's often sufficient to remember this rule of thumb: the higher the Sharpe ratio, the better an investment's returns have been relative to the amount of investment risk the investor has taken. Sharpe ratios can be obtained from fund companies and also from mutual fund rating and ranking services, such as Morningstar, Standard & Poor's, and Lipper. The Sharpe ratio has pros and cons. On the plus side, it avoids a drawback of alpha and beta, two related measures of volatility frequently used in fund analysis. Unlike the Sharpe ratio, they measure volatility against an index benchmark, which in practice may not be closely correlated to the fund. The Sharpe ratio uses only the volatility of the investment itself, based on standard deviation of its returns. As a result, it can be used to directly compare equity and fixedincome funds. The Sharpe ratio's main disadvantage is that it's just a raw number. As such, it's not meaningful except in comparison with ratios for other investments over the same time period (and, normally, with similar objectives). Another shortcoming: The ratio doesn't take into account nonquantifiable factors that can affect performance, such as prevailing economic and market conditions or a change in fund managers. In addition, when comparing investments with negative returns, the calculation can produce a ratio that is counterintuitive  that is, a fund with a higher standard deviation may have a higher Sharpe ratio than another fund with a lower standard deviation. In such cases, other risk assessments need to be considered.
Other ConsiderationsIn addition, relying on Sharpe ratios based on readily available fund data may not give a sufficiently longterm view of a fund's riskadjusted performance. In cases where standard deviation is provided only for a fund's most recent threeyear period, additional research is required in order to calculate the ratio for longer periods. Like other risk assessment tools, the Sharpe ratio is also open to the broad criticism that it can only show how investments have behaved in the past, which, of course, may not be a reliable predictor of future performance. While the Sharpe ratio has limitations, it is regarded as a valid statistic for comparing funds and other investment assets. Used as a screening tool, it provides an objective measure of an investment's riskadjusted past performance. Used in conjunction with welldefined selection criteria and monitoring policies, it can help plan sponsors create and maintain a suitable array of investment choices for the benefit of plan participants.
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