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Although no investment is truly risk free, let's use a low-risk, 90-day Treasury Bill, with an average return of 2%.

Our Sharpe Ratio for Investment A would be as follows:

9 (Investment A's average return) minus 2 (T Bill's average return) = 7 (Excess return over a risk-free investment)

7 (Excess return over a risk-free investment) divided by 6 (Investment A's standard deviation) = 1.67 (Sharpe Ratio) Our Sharpe Ratio for the Benchmark would be as follows:

7.25 (Benchmark's average return) minus 2 (T Bill's average return) = 5.25 (Excess return over risk free)

5.25 divided by 5.5 (Benchmark's standard deviation) = .95 (Sharpe Ratio) Because Investment A has a higher Sharpe Ratio (1.67) than the benchmark (.95), it is deemed to have a better risk adjusted return.

If you want more information on standard deviation and the sharpe ratio, there are several sites on the internet that will be happy to accomodate you.

Remember, these are only two tools used in the process of selecting securities.

If you're choosy investments based on total returns over specific time periods (i.e., 1yr, 3yrs, 5yrs, and 10yrs) without appraisal the risk, it's time to add something else again component to your selection process.

Standard Deviation and the Sharpe Ratio are two aboriginal tools that are used by investment professionals for determining risk and, with a little practice, you can be using them too.

Although standard deviation isn't limited to the area of investments, it is a measurement of volatility that translates into risk. High standard deviations denote a wide range of investment returns and low deviations denote a narrow range of returns.

A word of caution: standard deviation won't do you much good unless you're using it to associate standard deviations mid other like investments. Taking things a step further, if you bring into comparison the standard deviation to a touchstone (i.e. an indices standard deviation), you can see how mindfully those investments are performing to their gauge on a risk qualified basis.

Now for the fun part. Let's compute some standard deviations using hypothetical investments:

Assume Large Cap Investment A has a 9% dominant return over a three year period (the most platitudinous time frame for measuring standard deviation). Assume, also, that it has a standard deviation of 6.

Now also think that Large Cap Investment B has an moderate return of 9% over the same three-year period, but that it has a standard deviation of 7.

To find the range of returns for either of our hypothetical investments, you need to take the banal rate of return and add (or subtract) the standard deviation for that investment. The result will give you the range of returns for that investment 68% of the time.

In our hypothetical example above, while both investments have a 9% prevalent return, Investment A has a range of returns from 3% to 15%. Investment B has a range of returns from 2% to 16%. being as how Investment B has a wider range of returns, it would be deemed to be the more volatile (or riskier) of the two investments.

Now let's look at a hypothetical norm to parallel these investments. Let's attempt that the seminal return for Large Cap Investments is 7.25%, with a standard deviation of 5.5. Using the upwards formula, the seminal range of returns for Large Cap Investments would be 1.75% (7.25% minus 5.5) to 12.75% (7.25% plus 5.5).

So far so good, but now how do we be like Investment A (with a 9% familiar return and a standard deviation of 6) to the (with a 7.25% golden mean return and a standard deviation of 5.5)? For that we turn to the Sharpe Ratio.

Developed by Bill Sharpe, the Sharpe Ratio attempts to quantify an investment's risk relative to its investment performance. The higher the ratio, the rebuilt the investment's performance by and by passive for its risk.

Our formula takes the difference needle the return on a particular investment and the return on a risk-free investment. That difference is then divided by our standard deviation. That should give us our answer.

Although no investment is truly risk free, let's use a low-risk, 90-day Treasury Bill, with an in the main return of 2%.

Our Sharpe Ratio for Investment A would be as follows:

9 (Investment A's median return) minus 2 (T Bill's routine return) = 7 (Excess return over a risk-free investment)

7 (Excess return over a risk-free investment) divided by 6 (Investment A's standard deviation) = 1.67 (Sharpe Ratio) Our Sharpe Ratio for the norm would be as follows:

7.25 (Benchmark's universal return) minus 2 (T Bill's unremarkable return) = 5.25 (Excess return over risk free)

5.25 divided by 5.5 (Benchmark's standard deviation) = .95 (Sharpe Ratio) Because Investment A has a higher Sharpe Ratio (1.67) than the example (.95), it is deemed to have a major risk adapted return.

If you want more information on standard deviation and the sharpe ratio, there are several sites on the internet that will be happy to accomodate you.

Remember, these are only two tools used in the process of selecting securities. They are not infallible, but they can be of tremendous help in keeping your portfolio in top-notch shape.

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