VIX

VIX Index from inception to Oct. 2008

VIX is the ticker symbol for the Chicago Board Options Exchange Volatility Index, a popular measure of the implied volatility of S&P 500 index options. A high value corresponds to a more volatile market and therefore more costly options, which can be used to defray risk from this volatility by selling options. Often referred to as the fear index, it represents one measure of the market's expectation of volatility over the next 30 day period.

Specifications

The VIX is calculated and disseminated in real-time by the Chicago Board Options Exchange. It is a weighted blend of prices for a range of options on the S&P 500 index. The formula uses a kernel-smoothed estimator that takes as inputs the current market prices for all out-of-the-money calls and puts for the front month and second month expirations.^[1] The goal is to estimate the implied volatility of the S&P 500 index over the next 30 days.

The VIX is the square root of the par variance swap rate for a 30 day term initiated today. Note that the VIX is the volatility of a variance swap and not that of a volatility swap (volatility being the square root of variance). A variance swap can be perfectly statically replicated through vanilla puts and calls whereas a volatility swap requires dynamic hedging. The VIX is the risk neutral expectation of S&P volatility over the next 30 calendar days. The VIX is quoted on an annualized variance basis.

The VIX has replaced the older VXO as the preferred volatility index used by the media. VXO was a measure of implied volatility calculated using 30-day S&P 100 index at-the-money options.

Interpretation

Performance of VIX (left) compared to past volatility (right) as 30-day volatility predictors, for the period of Jan 1990-Sep 2009. Volatility is measured as the standard deviation of S&P500 one-day returns over a month's period. The blue lines indicate linear regressions, resulting in the correlation coefficients r shown. Note that VIX has virtually the same predictive power as past volatility, insofar as the shown correlation coefficients are nearly identical. From Artur Adib's Blog.

The VIX is quoted in terms of percentage points and translates, roughly, to the expected movement in the S&P 500 index over the next 30-day period, on an annualized basis. For example, if the VIX is at 15, this represents an expected annualized change of 15% over the next 30 days; thus one can infer that the index option markets expect the S&P 500 to move up or down over the next 30-day period. That is, index options are priced with the assumption of a 68% likelihood (one standard deviation) that the magnitude of the S&P 500's 30-day return will be less than 4.33% (up or down).

The price of call options and put options can be used to calculate implied volatility, because volatility is one of the factors used to calculate the value of these options. Higher (or lower) volatility of the underlying security makes an option more (or less) valuable, since there is a greater (or smaller) probability that the option will expire in the money (i.e. with a market value above zero). So a higher option price implies greater volatility, other things being equal. Despite its sophisticated composition, however, the predictive power of VIX is similar to that of simpler measures, such as past volatility (see graphs on the right).

Investors believe that a high value of VIX translates into a greater degree of market uncertainty, while a low value of VIX is consistent with greater stability.

Even though the VIX is quoted as a percentage rather than a dollar amount there are a number of VIX-based derivative instruments in existence, including:

• VIX futures contracts, which began trading in 2004
• exchange-listed VIX options, which began trading in February 2006.
• VIX futures based Exchange Traded Notes (ETN's) launched by Barclays iPath in February 2009.

Similar indices for bonds include MOVE, LBPX indices.

Although the VIX is often called the "fear index," a high VIX is not necessarily bearish for stocks. Instead, the VIX is a measure of fear of volatility in either direction, including to the upside. In practical terms, when investors anticipate large upside volatility, they are unwilling to sell upside "call" stock options unless they receive a large premium. Option buyers will be willing to pay such high premiums only if similarly anticipating a large upside move. The resulting aggregate of increases in upside stock option "call" prices raises the VIX just as does the aggregate growth in downside stock "put" option premiums that occurs when option buyers and sellers anticipate a likely sharp move to the downside. When the market is believed as likely to soar as to plummet, writing any option that will cost the writer in the event of a sudden large move in either direction may look equally risky. Hence high VIX readings mean investors see significant risk that the market will move sharply, whether downward or upward. The highest VIX readings occur when investors anticipate that huge moves in either direction are likely. Only when investors perceive neither significant downside risk nor significant upside potential will the VIX be low.

The Black-Scholes formula is a quantification of how an option’s value depends on the volatility of the underlying assets.

History

Here is a timeline of some key events in the history of the VIX Index:

• 1993 - The VIX Index was introduced in a paper by Professor Robert E. Whaley now at Vanderbilt University
• 1993 - The VIX's lowest recorded value (between 1990 and 2008) of 9.31 occurred on Dec 22
• 2003 - Revised, more robust methodology for the VIX Index was introduced. The underlying index is changed from the CBOE S&P 100 Index (OEX) to the CBOE S&P 500 Index (SPX).
• 2004 - On March 26, 2004, the first-ever trading in futures on the VIX Index began on the CBOE Futures Exchange (CFE).
• 2006 - VIX options were launched in February 2006.
• 2008 - On October 24, 2008, the VIX reached an intraday high of 89.53.

Between 1990 and October 2008, the average value of VIX was 19.04.

In 2004 and 2006, VIX Futures and VIX Options were each named Most Innovative Index Product (respectively) at the Super Bowl of Indexing Conference.^[2]

See also

• Stock market bottom
• IVX
• CBOE

References

Bibliography

• Black, Keith H. "Improving Hedge Fund Risk Exposures by Hedging Equity Market Volatility, or How the VIX Ate My Kurtosis." The Journal of Trading. (Spring 2006).
• Connors, Larry. "A Volatile Idea." Futures (July 1999): p. 36—37.
• Connors, Larry. "Timing Your S&P Trades with the VIX." Futures (June 2002): pp. 46—47.
• Copeland, Maggie. "Market Timing: Style and Size Rotation Using the VIX." Financial Analysts Journal, (Mar/Apr 1999); pp. 73—82.
• Daigler, Robert T., and Laura Rossi. "A Portfolio of Stocks and Volatility." The Journal of Investing. (Summer 2006).
• Moran, Matthew T., "Review of the VIX Index and VIX Futures.," Journal of Indexes, (October/November 2004). pp. 16 — 19.
• Moran, Matthew T. and Srikant Dash. "VIX Futures and Options: Pricing and Using Volatility Products to Manage Downside Risk and Improve Efficiency in Equity Portfolios." The Journal of Trading. Summer 2007).
• Szado, Ed. "VIX Futures and Options—A Case Study of Portfolio Diversification During the 2008 Financial Crisis." (June 2009).
• Tan, Kopin. "The ABCs of VIX." Barron's (Mar 15, 2004): p. MW16.
• Tracy, Tennille. "Trading Soars on Financials As Volatility Index Hits Record." Wall Street Journal. (Sept. 30, 2008) pg. C6.
• Whaley, Robert E., "Derivatives on Market Volatility: Hedging Tools Long Overdue," Journal of Derivatives 1 (Fall 1993), pp. 71—84.
• Whaley, Robert E. "Understanding the VIX." The Journal of Portfolio Management (Spring 2009).