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Volatility – Friend or Foe?
ezrydn
Active Trader
What are your feelings about volatility? Does it scare you? Does it make your eyes light up when you see it? Discuss here.
My take on volatility. I love it! I, first off, am NOT your standard, traditional trader. I remain “outside” the box. I’m a retired VN combat vet so much of my trading is geared to combat strategies.
One day, I looked at GOLD. Talk about volatility (and, I noted that this high volatility seems to occur between 710am, CDT, some days). Well, I jumped in for “the ride.”
Rode price up like I was on a rocket! As price topped out, I closed and reopened a SELL order. However, this time, as I plummeted down, I dropped BUY orders behind me. When I hit bottom, Again, close order and reopened upward.
I picked up all prior BUYs on the way up again and dropped some more SELL orders on the way.
This loooong trip was repeated EIGHT times! I’ll let you guess the outcome. Only one order failed to close and it was truly minimal. All the rest (Figure 6 orders per transit) closed in the money, trading 1.0 lots.
What’s your success story concerning Volatility?
Volatility Definition
What is Volatility?
Volatility is a statistical measure of the dispersion of returns for a given security or market index. In most cases, the higher the volatility, the riskier the security. Volatility is often measured as either the standard deviation or variance between returns from that same security or market index.
In the securities markets, volatility is often associated with big swings in either direction. For example, when the stock market rises and falls more than one percent over a sustained period of time, it is called a “volatile” market. An asset’s volatility is a key factor when pricing options contracts.
Key Takeaways
 Volatility represents how large an asset’s prices swing around the mean price – it is a statistical measure of its dispersion of returns.
 There are several ways to measure volatility, including beta coefficients, option pricing models, and standard deviations of returns.
 Volatile assets are often considered riskier than less volatile assets because the price is expected to be less predictable.
 Volatility is an important variable for calculating options prices.

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Volatility Explained
Volatility often refers to the amount of uncertainty or risk related to the size of changes in a security’s value. A higher volatility means that a security’s value can potentially be spread out over a larger range of values. This means that the price of the security can change dramatically over a short time period in either direction. A lower volatility means that a security’s value does not fluctuate dramatically, and tends to be more steady.
One way to measure an asset’s variation is to quantify the daily returns (percent move on a daily basis) of the asset. Historical volatility is based on historical prices and represents the degree of variability in the returns of an asset. This number is without a unit and is expressed as a percentage. While variance captures the dispersion of returns around the mean of an asset in general, volatility is a measure of that variance bounded by a specific period of time. Thus, we can report daily volatility, weekly, monthly, or annualized volatility. It is therefore useful to think of volatility as the annualized standard deviation: Volatility = √ (variance annualized)
How to Calculate Volatility
Volatility is often calculated using variance and standard deviation. The standard deviation is the square root of the variance.
For simplicity, let’s assume we have monthly stock closing prices of $1 through $10. For example, month one is $1, month two is $2, and so on. To calculate variance, follow the five steps below.
 Find the mean of the data set. This means adding each value, and then dividing it by the number of values. If we add, $1, plus $2, plus $3, all the way to up to $10, we get $55. This is divided by 10, because we have 10 numbers in our data set. This provides a mean, or average price, of $5.50.
 Calculate the difference between each data value and the mean. This is often called deviation. For example, we take $10 – $5.50 = $4.50, then $9 – $5.50 = $3.50. This continues all the way down to the our first data value of $1. Negative numbers are allowed. Since we need each value, these calculation are frequently done in a spreadsheet.
 Square the deviations. This will eliminate negative values.
 Add the squared deviations together. In our example, this equals 82.5.
 Divide the sum of the squared deviations (82.5) by the number of data values.
In this case, the resulting variance is $8.25. The square root is taken to get the standard deviation. This equals $2.87. This is a measure of risk, and shows how values are spread out around the average price. It gives traders an idea of how far the price may deviate from the average.
If prices are randomly sampled from a normal distribution, then about 68% off all data values will fall within one standard deviation. Ninetyfive percent of data values will fall within two standard deviations (2 x 2.87 in our example), and 99.7% of all values will fall within three standard deviations (3 x 2.87). In this case, the values of $1 to $10 are not randomly distributed on a bell curve; rather. they are uniformly distributed. Therefore, the expected 68%–95%º–99.7% percentages do not hold. Despite this limitation, standard deviation is still frequently used by traders, as price returns data sets often resemble more of a normal (bell curve) distribution than in the given example.
Other Measures of Volatility
One measure of the relative volatility of a particular stock to the market is its beta (β). A beta approximates the overall volatility of a security’s returns against the returns of a relevant benchmark (usually the S&P 500 is used). For example, a stock with a beta value of 1.1 has historically moved 110% for every 100% move in the benchmark, based on price level. Conversely, a stock with a beta of .9 has historically moved 90% for every 100% move in the underlying index.
Market volatility can also be seen through the VIX or Volatility Index. The VIX was created by the Chicago Board Options Exchange as a measure to gauge the 30day expected volatility of the U.S. stock market derived from realtime quote prices of S&P 500 call and put options. It is effectively a gauge of future bets investors and traders are making on the direction of the markets or individual securities. A high reading on the VIX implies a risky market.
A variable in option pricing formulas showing the extent to which the return of the underlying asset will fluctuate between now and the option’s expiration. Volatility, as expressed as a percentage coefficient within optionpricing formulas, arises from daily trading activities. How volatility is measured will affect the value of the coefficient used.
Volatility is also used to price options contracts using models like BlackScholes or binomial tree models. More volatile underlying assets will translate to higher options premiums, because with volatility there is a greater probability that the options will end up inthemoney at expiration. Options traders try to predict an asset’s future volatility and so the price of an option in the market reflects its implied volatility.
Real World Example of Volatility
Suppose that an investor is building a retirement portfolio. Since she is retiring within the next few years, she’s seeking stocks with low volatility and steady returns.
She considers two companies:
 Microsoft Corporation (MSFT) has a beta coefficient of 1.03, which makes it roughly as volatile as the S&P 500 index.
 Shopify Inc. (SHOP) has a beta coefficient of 1.88, making it significantly more volatile than the S&P 500 index.
The investor would likely choose Microsoft Corporation for their portfolio since it has less volatility and more predictable shortterm value. (For related reading, see “How to Bet on Volatility When the VXX Expires”)
Implied Volatility vs. Historical Volatility
Implied volatility (IV), also known as projected volatility, is one of the most important metrics for options traders. As the name suggests, it allows them to make a determination of just how volatile the market will be going forward. This concept also gives traders a way to calculate probability. One important point to note is that it shouldn’t be considered science, so it doesn’t provide a forecast of how the market will move in the future.
Unlike historical volatility, implied volatility comes from the price of an option itself and represents volatility expectations for the future. Because it is implied, traders cannot use past performance as an indicator of future performance. Instead, they have to estimate the potential of the option in the market.
Also referred to as statistical volatility, historical volatility (HV) gauges the fluctuations of underlying securities by measuring price changes over predetermined periods of time. It is the less prevalent metric compared to implied volatility because it isn’t forwardlooking.
When there is a rise in historical volatility, a security’s price will also move more than normal. At this time, there is an expectation that something will or has changed. If the historical volatility is dropping, on the other hand, it means any uncertainty has been eliminated, so things return to the way they were.
This calculation may be based on intraday changes, but often measures movements based on the change from one closing price to the next. Depending on the intended duration of the options trade, historical volatility can be measured in increments ranging anywhere from 10 to 180 trading days.
Volatility – it can be an opportunity
Nine of March’s trading days recorded the biggest oneday gains and losses since the Second World War. Historically, times of crisis have been exceptional buying opportunities. Whether volatility is friend or foe depends on your circumstances and appetite for risk.
Equity markets have been hitting the headlines for all the wrong reasons. After a long 11year bull market, fear of the Covid19 virus’s economic impact has triggered hysterical swings in prices. By late March, nine of the month’s trading days had reportedly gone on record as the biggest oneday gains and losses since the Second World War.
Despair and fear drove the markets, just as euphoria and greed had for most of the previous eleven years. The arcane field of behavioural finance, which studies how emotions often override logic in investing, shows that investors “herd” together at times like this. That means they follow each other – tending to all buy or all sell at once. The result is high volatility; in other words, violent movements in prices.
Below are some critical aspects to consider when deciding if volatility is to your benefit or disadvantage.
Friend of foe? Friend!
1) Policymakers can counter volatility spikes
At times of market turmoil, all eyes are on policymakers. In a first move, they tend to cut interest rates decisively. Then, policymakers may make use of new policy tools, including liquidity injections, balance sheet extensions and fiscal measures such as government spending, tax credits etc. In the past, policymakers’ actions have proved very effective in moving markets to calmer waters over time.
2) Volatile markets can be a good time to invest
Known as the ‘fear gauge’, the VIX index measures the 30day expected volatility of the S&P 500 index of leading US equities. Counterintuitively, when the VIX is very high – defined as above 40 versus a longterm average of 19 – the S&P 500 index’s average return for the next 12 months has been 14%, which is far higher than the long run average for US equities of 6% to 8%. Importantly, on 80% of occasions the S&P 500 index’s return would have been positive.
3) Cash can be a bad place to be
It’s said that to make money in the market you need to be invested in the market. Missing out on the five best days in the S&P 500 index since January 1992 would have been a substantial lost opportunity. An initial investment of USD 100 would have risen to ‘just’ USD 380 over the following 28 years, compared with USD 600. What a difference five days can make. Our analysis shows that the best days on equity markets tend to be the days when they bounce back from big falls at times of severe volatility.
Friend of foe? Foe!
1) The speed of recovery depends on government actions
While the weight of history suggests that government action will lead to a recovery in economic growth, there are no guarantees as to its timing or strength. Huge shocks such as the one economies are currently suffering can take years to repair. Even as governments act decisively, much uncertainty tends to remain. Have governments done enough? Will deflation follow? Will inflation follow? Has enough been done for economies to recover vigorously and asset prices to rise?
2) Volatile markets hurt investors with shortterm horizons
Often whether volatility is friend or foe depends on your time horizon. If you are close to retirement and in need of an investment income, volatility is most likely your foe. After all, if equity markets fall by a third and dividend income shrinks that leaves you considerably poorer. If, on the other hand, you do not need to cash in your investment for some years, a generational buying opportunity may beckon.
3) Balanced portfolios can be a better place to be
While it’s true that missing out on the equity market’s best days diminish returns, it’s also a fact that being fully invested during the market’s worst days has a similar effect. For the risk averse, a balanced portfolio of equities and bonds can smooth out the ups and downs.
Turning to today, will volatility prove your friend or foe? Policymakers could scarcely have been more active. In the US alone, the new stimulus package is worth USD 2 trillion or a stunning 9.5% of GDP, delivering huge economic support. What’s more, the VIX ‘fear’ index spiked up to extremely high levels above 80 in midMarch, before settling back at around 60, which may herald a strong return for equities over twelve months.
But judging whether to go against the herd and invest depends on your view and circumstances. If you have faith in the actions of policymakers, and the time and risk appetite to wait several years, then volatility could prove a good friend indeed.

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