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Using Standard Deviation and the Sharpe Ratio: Tools of the Pros

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

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

After training, he finds the stocks that yield good out of sample returns, high Sharpe Ratio, linear equity curve as well as other informative statistics related to the model.

Selling Endowment 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.

What Is An Endowment Mortgage An endowment mortgage, in theory, is supposed to lower your mortgage payment. Ideally, endowment mortgages are much cheaper than standard mortgage policies such as repayment mortgages. When you get an endowment mortgage, you pay only the interest on the amount borrowed. In addition to this, the endowment policy. This policy is supposed to grow and grow, and at the end of the mortgage term you use this money to pay off your capital.

Endowment Mis Selling A word of caution: standard deviation won't do you much good unless you're using it to compare standard deviations among other like investments. Taking things a step further, if you compare the standard deviation to a benchmark (i.e. an indices standard deviation), you can see how closely those investments are performing to their benchmark on a risk adjusted basis.

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

The standard deviation at the beginning of a data series is not defined until there are enough values to fill the given period. The value is also not defined for a period of 1. The standard deviation is typically used more than the variance as a measure of dispersion. This is because the scale of the value is more readily conceptualized to the scale of the data. ---------- Standard Deviation can be used as a measure of volatility. A high standard deviation indicates a high amount of volatility in price data.

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

  • Annualized trades and returns. hold.
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Lilly Endowment Now also assume that Large Cap Investment B has an average return of 9% over the same three-year period, but that it has a standard deviation of 7.

Endowment Mortgage Uk To find the range of returns for either of our hypothetical investments, you need to take the average 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.

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

Endowment Mortgage Complain Now let's look at a hypothetical benchmark to compare these investments. Let's assume that the benchmark return for Large Cap Investments is 7.25%, with a standard deviation of 5.5. Using the above formula, the benchmark range of returns for Large Cap Investments would be 1.75% (7.25% minus 5.5) to 12.75% (7.25% plus 5.5).

Sell Endowment So far so good, but now how do we compare Investment A (with a 9% average return and a standard deviation of 6) to the benchmark (with a 7.25% average return and a standard deviation of 5.5)? For that we turn to the Sharpe Ratio.

Endowment Mortgage Developed by Bill Sharpe, the Sharpe Ratio attempts to quantify an investment's risk relative to its investment performance. The higher the ratio, the better the investment's performance after adjusting for its risk.

Endowment Funds Our formula takes the difference between 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.

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

College Endowment Our Sharpe Ratio for Investment A would be as follows:

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

Modified Endowment Contract 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:

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

Traded Endowment Policy 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.

University Endowment 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.

Endowment Shortfall 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.

Traded Endowment Glenn ("Chip") Dahlke, a senior contributor to the Living Trust Network, has 28 years in the investment business. He is a Registered Representative of Linsco/Private Ledger and a principal with Dahlke Financial Group. He is licensed to transact securities with persons who are residents of the following states: CA. CT, FL, GA, IL. MA, MD. ME, MI. NC, NH, NJ, NY.OR, PA, RI, VA, VT, WY.

Duke Endowment If you have any questions or comments, Chip would love to hear from you. You may contact him by email at dahlkefinancial@sbcglobal.net. You may also contact him at the Living Trust Network. Its web site is http://www.livingtrustnetwork.com

Endowment Buyer Copyright 2005. Living Trust Network, LLC. All Rights Reserved.

Endowment Claim Get a free list of internet sites that provide information on standard deviation and the sharpe ratio - send the Living Trust Network an email at cdahlke@livingtrustnetwork.com.

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