ChartSchool

# Volatility Index (VIX)

## Introduction

The volatility indices measure the implied volatility for a basket of put and call options related to a specific index or ETF. The most popular is the CBOE Volatility Index (\$VIX), which measures the implied volatility for a basket of out-of-the-money put and call options for the S&P 500. Specifically, the VIX is designed to measure the expected 30-day volatility for the S&P 500. The Chicago Board Options Exchange (CBOE) calculates volatility indices for a number of different ETFs and indices. These include the Gold SPDR, the USO Oil Fund, the Euro Currency Trust, the Dow Industrials, the S&P 500 and the Nasdaq 100. This article will focus on using the VIX. Chartists can use the VIX and other volatility indices to measure sentiment and look for sentiment extremes that can foreshadow reversals.

## Calculation

The complete formula for the CBOE Volatility Index is beyond the scope of this article, but we can describe the basic inputs and some history. Originally created in 1993, the VIX used S&P 100 options and a different methodology. In particular, the “original formula” used at-the-money options to calculate volatility. This indicator is still available as the Volatility Index - Original Formula (\$VXO).

In 2003 the CBOE adopted a new methodology that uses near-term and next-term put and call options to measure implied volatility for the S&P 500. As you can see from the charts above, the difference between these two indicators is negligible to the naked eye. Near-term options have at least 1 week left until expiration. Next-term options are usually 1-2 months out. Each option price carries an implied volatility, which is also known as the Standard Deviation. Using a rather complex formula, the CBOE calculates a weighted average of implied volatility to find the expected 30-day volatility for the S&P 500. 30 days refers to calendar days, not trading days. In a nutshell, there are four steps involved in the calculation:

```
* Select the near-term and next-term put and call options.
* Calculate the implied volatility for each option.
* Calculate a weighted average of implied volatility for these options.
* Multiply this weighted average by 100.

```

The resulting VIX provides us with the weighted 30-day standard deviation of annual movement in the S&P 500. A reading of 20% would expect a 20% move, up or down, in the next 12 months. This annualized number can be transformed into a monthly number by dividing it by the square root of 12 (~3.464). A daily number would be found by dividing by the square root of 252 (~15.874), which is the number of trading days in a year. The table below shows VIX levels with the expected volatility in the S&P 500 on a monthly or daily basis. Keep in mind that we are talking about volatility, not the expected return or change.

## Interpretation

Typically, the VIX has an inverse relationship to the stock market. VIX advances when stocks decline and declines when stocks advance. It seems that volatility would be immune to market direction, but the stock market has a bullish bias overall. A rising stock market is viewed as less risky, while a declining stock market carries more risk. The higher the perceived risk, the higher the implied volatility. Hence, this implied volatility is very susceptible to directional movement. A down swing or extended decline increases the demand for put options, which in turn increases put prices and the implied volatility. Puts are bought as a hedge against long positions or as a directional bet. This is why many analysts consider the VIX a coincident indicator. It moves when stocks move, not independently of stocks. In fact, VIX can be used as a trend-confirming indicator because it often trends in the opposite direction of the stock market. Despite a tendency to trend, the VIX can also trade in ranges that mark sentiment extremes. These extremes can be identified to anticipate stock market reversals.

Over a long period of time, a plot of the CBOE Volatility Index will show periods with extended trends, defined ranges and intermittent spikes. The chart below shows the VIX over a 4 1/2 year period with the 200-day moving average. Over this timeframe, the VIX has changed ranges, trended higher, trended lower and spiked periodically. The first half of the chart shows the range shifting higher. As the S&P 500 exceeded 1400 towards the end of 2006, the CBOE Volatility Index traded in the 10 to 15 range, which is low relative to 2010 levels. The VIX edged higher in the first half of 2007 and then traded in a higher range from July 2007 until October 2008. Notice how the VIX did not dip below 15 during this period and reversed soon after exceeding 30.

The second half of the chart shows the VIX surging with a short uptrend and then moving into an extended downtrend that was punctuated by a spike. As the market decline accelerated in September 2008, the VIX started moving sharply higher and exceeded 75 in the fourth quarter. Even though the VIX peaked in late 2008, the S&P 500 did not bottom until early March 2009. The indicator broke its 200-day moving average in April and trended lower until a surge in May 2010. Notice how the S&P 500 trended higher as the VIX trended lower. The downtrend in the VIX ended with a spike above 40 in early May, which coincided with the famous flash crash on May 6th 2010. The flash crash is just a blip on the S&P 500 chart, but a huge spike on the VIX chart. Implied volatility in put options surged as buyers pushed put prices sharply higher. Such panic surges are why the CBOE Volatility Index is sometimes referred to as the “fear index”.

## Sentiment Extremes

Sentiment extremes can be identified when the VIX trades within a range or spikes. As noted in the chart above, the CBOE Volatility Index traded within a well-defined range from July 2007 until October 2008. Moves to the upper end of this range (30-32) signaled excessive bearishness that foreshadowed bullish reversals. Moves to the lower end (16-18) signaled excessive bullishness that foreshadowed bearish reversals. The green dotted lines on the chart below show moves above 30, while the red dotted lines mark moves below 18. There were four bearish extremes and two bullish extremes over a 10 month period. Although not perfect, moves to these extremes were pretty effective in anticipating reversals in the S&P 500.

Ranges are not always this well defined and ranges can shift over time. The chart below shows the VIX from April 2004 to September 2009, which is the not-to-distant past. The VIX trended lower in 2004, 2005 and early 2006. Instead of a well-defined range, the range drifted lower until the VIX hit 10 in July 2005. There was a spike above 20 in June 2006, but this did not foreshadow an extended downtrend. Instead, this spike signaled excessive bearishness or panic that marked a major low. The indicator moved back down to 10 in October 2007 and traded in the 10-14 area as the market continued higher for several months. There was another spike above 18 and this spike also marked a major low as the S&P 500 subsequently moved above 1500.

An unusual “coupling” of the CBOE Volatility Index occurred from April 2007 until October 2007. Instead of the normal inverse relationship, both stocks and the VIX moved higher during this time frame. The S&P 500 recorded its high in October 2007 as the VIX traded above 16 and well above its lows around 10. Something it not right when the VIX and S&P 500 rise together. This abnormal coupling served as a warning sign that foreshadowed an extended decline from October 2007 until February 2009.

## Detrending with the PPO

As noted above, the CBOE Volatility Index often trends and this makes its difficult to identify extremes or cycles. Chartists can detrend the VIX by applying the Percent Price Oscillator (PPO) to the indicator. PPO equals the 10-day EMA less the 50-day EMA divided by the 50-day EMA. PPO values represent the percentage difference between the 10-day EMA and 50-day EMA. PPO is positive when the VIX 10-day EMA is above the VIX 50-day EMA and negative when the VIX 10-day EMA is below the VIX 50-day EMA. This example shows PPO (10,50,1), but any combination of moving averages can be used. A “1” is used for the signal line moving average to merge it with the actual indicator. You can read more on the PPO in our ChartSchool article.

The next chart shows the Percent Price Oscillator for the VIX without the VIX. Unlike the VIX plot, the VIX PPO(10,50,1) oscillates above and below the zero line. There was a fairly well defined range from 2006 until mid 2008 as the PPO produced some good signals for both extremes. This range expanded as volatility expanded at the end of 2008. The PPO exceeded 50 in October 2008 and then plunged below -17 in January 2009. After reaching its lowest level in years, the VIX PPO remained at relatively low levels and did not exceed 10 until the surge to 40 in April-May 2010. This spike represented a bearish extreme.

The green dotted lines show when the VIX PPO moved back below its bearish extreme (25). As with the VIX, timing can be improved by waiting for a reversal back below 25. Notice how the VIX PPO moved above 25 in September 2008 and remained above 25 for several weeks as the market continued to fall. Turning bullish on the initial move above 25 would have been costly. The red dotted lines show periods of excessive bearishness from September 2006 until January 2009. After the market bottomed in March 2009, the VIX PPO moved below -10 quite often and these excessive bullishness signals did not work during the strong uptrend.

## Conclusions

The CBOE Volatility Index is a sentiment indicator that reacts to stock market movements. The VIX is not really a predictive indicator. Instead, the indicator can identify sentiment extremes. The indicator declines during a stock market advance and advances when stocks decline. Sharp stock market declines often produce exaggerated spikes in the CBOE Volatility Index as panic grips the market. Spikes above specific levels suggest excessive bearishness that can lead to a market rally. A steady stock market advance produces a steady downtrend and relatively low levels for the VIX. Excessive bullishness is often hard to define when stocks are trending higher. Like most sentiment indicators, the CBOE Volatility Index should be used in conjunction with other indicators for market timing. While the odds of a reversal increase with sentiment extremes, chartists should turn to momentum oscillators, chart patterns or other forms of technical analysis to confirm or time a reversal.

## SharpCharts

SharpCharts users can add the CBOE Volatility Index as an indicator above or below the main chart window. For example, the S&P 500 could be shown in the main chart window with the VIX as an indicator below. Choose “price” as an indicator, enter the symbol (\$VIX) as a “parameter” and then choose the “position”. Alternatively, the VIX can be shown in the main chart window with the S&P 500 (\$SPX) as the indicator.

Showing the VIX as the Percent Price Oscillator (10,50,1) involves a few more charting tricks. SharpCharts users can click the chart below to see the settings and save this chart to a favorites list. Here are the steps.

• 1. Create a chart with the CBOE Volatility Index (\$VIX) in the main window.
• 2. Under Chart Attributes and Type, choose “Invisible”.
• 3. Select “Price” under Indicators, enter “\$SPX” in Parameters and “Behind Price” for Position.
• 4. Select Percent Price Oscillator (PPO) under Indicators, enter “10,50” for Parameters and “Below” for Position.
• 5. For a full view, Height can be set at “1.0”
• 6. Click update to see the resulting chart.

## Further Study

This books details 16 simple, yet effective, strategies crucial to the success of any trader or investor. Readers will learn oscillator techniques, mean reversion strategies and even see back tested results. One strategy teaches traders how to use the VIX for market timing.

 Short Term Trading Strategies That Work Larry Connors and Cesar Alvarez

Website: White Paper on the CBOE Volatility Index. The CBOE detailed the new VIX methodology in a 2003 White Paper that is available at the CBOE website. The link above takes you the VIX page at the CBOE. Be warned: this white paper is very technical stuff.