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| Anticipate Before You Participate
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Understanding Market Volatility
of the HUI is Key to Managing Expectations for Gold Stocks
and Mutual Funds.
A
fundamental aspect of investing is deciding how much risk
and volatility you’re comfortable with, and then choosing
investments that fit into that comfort zone.
Generally speaking, the greater the volatility
of a given security, the higher its risk for the investor.
And the greater the risk you’re willing to take, the
greater the potential profits you could reap. So taking the
comparison to its logical conclusion, the greater the volatility,
the greater the potential profits and, of course, the greater
the potential losses.
Investors may find it difficult and time-consuming
to figure out which funds provide the optimal balance of risk,
volatility and reward, but it’s worth the effort. Understanding
the volatility and risks involved with the markets is vitally
important to maintain both your investments and your emotional
health. Chasing performance or trying to guess tops and bottoms
in share prices can be both emotionally and financially draining.
Standard deviation, also known as “sigma,” is
a valuable statistical tool for gauging a fund’s volatility,
as it measures how much the fund’s returns vary from
their mean, or average, over a given period of time.
For most funds, returns will be within one standard
deviation (one sigma) of their mean (average) 68 percent of
the time and within two standard deviations (two sigma) of
the mean 95 percent of the time. Returns fall within three
sigma 99 percent of the time.

You can see this basic concept in the bell-shaped
curve to the right. The straight line down from the highest
point on the curve is the mean return over the specified time
period. The area in blue is one sigma above and below the
mean. By adding the area in green, you have gone out two sigma
on either side of the mean. The yellow segments expand the
white area to three sigma.
As an investor, sigma can help you understand
the level of volatility to expect from a particular investment.
That knowledge allows you to manage your risk and it keeps
you from getting overly excited when your investment’s
ups and downs fall within its normal range. It can also help
you identify when to buy or sell a stock or a fund.
Let’s look at the Amex Gold BUGS Index
(HUI) as an example of how to use sigma.
Magnitude for 1 standard deviation (1 sigma*)
as of 6/14/06
| Index |
Weekly |
Monthly |
Quarterly |
| HUI |
4.77% |
9.96% |
17.79% |
| S&P500 |
2.05% |
4.18% |
6.89% |
* Sigma is the Greek notation for standard
deviation. Normally distributed random data series fall within
+1 sigma from the mean around 68% of the time.
Over the last five years as of 6/14/06, the
HUI has had a quarterly sigma of 17.79 percent. That means
if you marked each quarterly return for the last five years
on a graph, you could expect 68 percent of those marks to
be within 17.79 percent above or below the average (mean)
return. Ninety-five percent of those marks would predictably
fall within 35.58 percent above or below the mean return because
that’s two sigma.
A gain of 10 percent in a quarter might sound
exceptional for an investment, but for the HUI, that level
of return falls within the range of normal over the past five
years. Likewise, a quarterly drop of 10 percent can sound
scary, but if you know the sigma for the HUI, you know that
too is within its normal movement.
When is an index overbought or oversold?
Quarterly Standard Deviation Movement of
the HUI – 2001-2006 as of 6/14/06

You should pay closer attention when returns
fall outside one sigma during a specific time period, whether
that variance is positive or negative. If an index’s
performance rises more than one sigma, it could signal that
it is overbought, so you might consider selling or holding
off on buying. That’s because, statistically, there
is only a 16 percent chance that it will go higher. The mechanics
are reversed when a performance drops more than one sigma.
In that case, it suggests the index’s stocks may be
oversold, so you might consider buying or not selling because
the chance of further loss is only 16 percent.
Volatility eases over time.
Again, look at the sigma over the weekly, monthly
and quarterly time periods for the HUI. You can see that the
volatility is not linear. For instance, the HUI has a weekly
sigma of 4.77 percent, so one might think that the monthly
sigma should be four times higher because there are four weeks
in a month. But in reality, the monthly sigma of 9.96 percent
is a little more than double the weekly figure. Likewise there
are three months in a quarter, but the quarterly sigma was
less than double the monthly number.
Investor psychology suggests that investors
are more comfortable buying a stock after it has moved up
and are more willing to sell when it declines sharply. Many
investors use the 200 day and the 50 day moving average to
make their decisions, however, this simple process can be
problematic when the sectors are more volatile. We believe
it is wiser to use dollar-cost averaging and set limits on
exposure to any asset class and rebalance annually to catch,
not chase volatility.
Please consider carefully the fund’s
investment objectives, risks, charges and expenses. For this
and other important information, obtain a fund prospectus
by visiting www.usfunds.com or by calling 1-800-US-FUNDS (1-800-873-8637).
Read it carefully before investing. Distributed by U.S. Global
Brokerage, Inc.
****
All opinions expressed and data provided
are subject to change without notice. Some of these opinions
may not be appropriate to every investor. Gold funds may be
susceptible to adverse economic, political or regulatory developments
due to concentrating in a single theme. The price of gold
is subject to substantial price fluctuations over short periods
of time and may be affected by unpredicted international monetary
and political policies. We suggest investing no more than
3% to 5% of your portfolio in gold or gold stocks. The AMEX
Gold Bugs Index (HUI) is a modified equal-dollar weighted
index of companies involved in major gold mining. The S&P
500 Stock Index is a widely recognized capitalization-weighted
index of 500 common stock prices in U.S. companies.
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