How to Measure the Risk of Fund Investments

A client recently asked me to explain the ratios found on the fund fact sheets I enclosed with his Proposal for Investment. Some fact sheets will list one or more of the following ratios; others will show others; few will list all of them.

But what do they mean?

There are five main indicators of investment risk that apply to the analysis of stocks, bonds and fund portfolios. They are alpha, betar-squared, standard deviation and the Sharpe ratio. These statistical measures are historical predictors of investment risk/volatility and they are all major components of modern portfolio theory (MPT). MPT is a standard financial and academic methodology used to assess the performance of equity, fixed-income and fund investments by comparing them to market benchmarks

All of these risk measurements are intended to help investors determine the risk-reward parameters of their investments. Here is a brief explanation of each of these common indicators.

Alpha: Alpha is a measure of an investment’s performance on a risk-adjusted basis. It takes the volatility (price risk) of a security or fund portfolio and compares its risk-adjusted performance to a benchmark index. The excess return of the investment relative to the return of the benchmark index is its alpha. Simply stated, alpha is often considered to represent the value that a portfolio manager adds or subtracts from a fund’s return. An alpha of 1.0 means the fund has outperformed its benchmark index by 1%. Correspondingly, an alpha of -1.0 would indicate an under-performance of 1%.

In short, the higher the alpha, the better.

Beta: Beta, also known as the beta coefficient, is a measure of the volatility, or systematic risk, of a security or a portfolio compared to the market as a whole. Beta is calculated using regression analysis and it represents the tendency of an investment’s return to respond to movements in the market. By definition, the market has a beta of 1.0. Individual security and portfolio values are measured according to how they deviate from the market.

A beta of 1.0 indicates that the investment’s price will move in lock-step with the market. A beta of less than 1.0 indicates that the investment will be less volatile than the market. Correspondingly, a beta of more than 1.0 indicates that the investment’s price will be more volatile than the market. For example, if a fund portfolio’s beta is 1.2, it is theoretically 20% more volatile than the market.

Conservative investors who wish to preserve capital should focus on securities and fund portfolios with low betas while investors willing to take on more risk in search of higher returns should look for high beta investments.

R-squared: R-squared is a statistical measure that represents the percentage of a fund portfolio or a security’s movements that can be explained by movements in a benchmark index. For fixed-income securities and bond funds, the benchmark is the U.S. Treasury Bill. The S&P 500 Index is the benchmark for equities and equity funds. R-squared values range from 0 to 100. According to Morningstar, a mutual fund with an R-squared value between 85 and 100 has a performance record that is closely correlated to the index. A fund rated 70 or less typically does not perform like the index.

Fund investors should avoid actively managed funds with high R-squared ratios, which are generally criticized by analysts as being “closet” index funds. In such cases, it makes little sense to pay higher fees for professional management when you can get the same or better results from an index fund.

Standard Deviation: Standard deviation measures the dispersion of data from its mean. Basically, the more spread out the data, the greater the difference is from the norm. In finance, standard deviation is applied to the annual rate of return of an investment to measure its volatility (risk). A volatile stock would have a high standard deviation.

The standard deviation of a fund tells us how much the return on a fund is deviating from the expected returns based on its historical performance.

Sharpe Ratio: Developed by Nobel laureate William Sharpe, the Sharpe ratio measures risk-adjusted performance. It is calculated by subtracting the risk-free rate of return (U.S. Treasury Bond) from the rate of return for an investment and dividing the result by the investment’s standard deviation of its return. The Sharpe ratio tells investors whether an investment’s returns are due to wise investment decisions or the result of excess risk. This measurement is useful because while one portfolio or security may generate higher returns than its peers, it is only a good investment if those higher returns do not come with too much additional risk.

The greater an investment’s Sharpe ratio, the better its risk-adjusted performance.


Many investors tend to focus exclusively on investment returns with little concern for investment risk. The five risk measures we have discussed can provide some balance to the risk-return equation. The good news for investors is that these indicators are calculated for them and are available on a number of financial websites: they are also incorporated into many investment research reports. As useful as these measurements are, when considering a stock, bond, or mutual fund investment, volatility risk is just one of the factors you should be considering that can affect the quality of an investment.

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