VIX - The Fear Gauge of Wall Street
By EC Assets Research Team, Institutional Research · Published · Updated
VIX: The VIX measures the market's expected 30-day annualised volatility of the S&P 500, derived directly from real option prices.
What the VIX Actually Measures
The Cboe Volatility Index is a calculated value, not a survey. Its inputs are the bid and offer prices of S&P 500 index options with roughly 23 to 37 days to expiry. From those prices Cboe derives the fair value of the index's variance over the next 30 days and quotes its square root as an annualised volatility in percentage points.
When the VIX reads 16, the option market is pricing 16 percent annualised volatility for the next 30 calendar days. That is not a forecast in the everyday sense but an equilibrium price at which buyers and sellers of options transact, with real capital behind it every second of the trading day.
A useful frame is insurance. If the S&P 500 is the insured asset, the option market is its insurance market and the VIX is the average premium, weighted across many policies and expressed in a standard unit. A rising VIX means insurance has become more expensive; a falling one means it has become cheaper.
How It Works
Since September 2003 the calculation has been model-free. Instead of inverting Black-Scholes on one option, it uses the replication result of Demeterfi, Derman, Kamal and Zou (1999): the fair value of variance equals a weighted strip of out-of-the-money options. For each of two expiries around 30 days:
$$\sigma^2 = \frac{2}{T}\sum_i \frac{\Delta K_i}{K_i^2},e^{RT},Q(K_i) - \frac{1}{T}\left(\frac{F}{K_0} - 1\right)^2$$
where Q(K) is the midpoint price of the out-of-the-money option at strike K, F the forward index level and K0 the first strike below it. The two variances are interpolated to exactly 30 days and the index is 100 times the square root.
| Feature | Consequence |
|---|---|
| Weights of 1 / K² | Low-strike puts carry the most weight, so the skew feeds directly into the index |
| Model-free strip | The VIX is the square root of the 30-day variance swap rate, not an at-the-money volatility |
| Quoted as volatility, built from variance | Moves in the VIX are convex in the underlying variance |
Because of the skew, the VIX usually sits a little above at-the-money implied volatility for the same maturity.
Worked Example
The VIX stands at 20. Three conversions follow:
| Horizon | One-standard-deviation S&P 500 move |
|---|---|
| One trading day, 20 / 16 | 1.25% |
| 30 calendar days, 20 × √(30/365) | 5.73% |
| One year | 20% |
The daily figure is the Rule of 16; the VIX-to-move converter does the same for any level and horizon.
The variance view explains why selling volatility is asymmetric. A VIX of 20 corresponds to variance of 20² = 400. If the next 30 days realise 15 percent volatility, a seller of variance earns 400 - 225 = 175 variance points. If they realise 40 percent, the seller loses 1,600 - 400 = 1,200 points: a move of 20 volatility points up costs almost seven times what a move of 5 points down earns.
When It Applies (and Limitations)
It is a price, not a prediction of crashes. High readings reflect stress the market has already absorbed. Whaley (2000) described the VIX as an investor fear gauge precisely because it rises with falling prices; spikes have typically been followed by mean reversion in the index rather than by further collapse.
It is not directly tradable. VIX futures, options and exchange-traded products track the futures curve. In calm markets the curve is upward sloping, so long exposure decays as futures converge to spot; VXX, a long short-dated futures product, has lost more than 99 percent of its value since its 2009 launch.
Short volatility carries the tail. In February 2018 the VIX rose from about 17 to above 37 in one session, and XIV, a product offering inverse exposure to short-dated VIX futures, lost about 96 percent of its value and was terminated.
Its relationship with equities is strong but not fixed. Daily VIX and S&P 500 changes are strongly negatively correlated most of the time, but the relationship weakens in rallies driven by fear of missing out and in slow grinding declines.
Why It Matters for Institutional Investors
It prices crash insurance. S&P 500 puts, VIX calls and variance swaps all move with the VIX. Protection bought when the index is low costs a fraction of protection bought after a spike, which is why disciplined hedging programmes plan purchases in calm markets rather than reacting to stress.
It carries the volatility risk premium. The VIX has on average exceeded the volatility the S&P 500 subsequently realised. Carr and Wu (2009) and Bollerslev, Tauchen and Zhou (2009) document this volatility risk premium and its link to future returns; it is the return source of every option-selling strategy and the cost line of every hedge.
It signals regime changes. A move from 14 to 22 within a week shows that the market has repriced near-term risk, even if the S&P 500 itself has barely moved.
It belongs in a cross-asset set. The MOVE index does for Treasury volatility what the VIX does for equities, and the VVIX measures the volatility of the VIX itself. Reading them together shows whether stress is confined to one market or spreading.
References
- Cboe Global Markets. (2019). Cboe Volatility Index (VIX) White Paper. Cboe.
- Demeterfi, K., Derman, E., Kamal, M., & Zou, J. (1999). More Than You Ever Wanted to Know About Volatility Swaps. Goldman Sachs Quantitative Strategies Research Notes.
- Whaley, R. E. (2000). The Investor Fear Gauge. Journal of Portfolio Management, 26(3), 12-17.
- Carr, P., & Wu, L. (2009). Variance Risk Premiums. Review of Financial Studies, 22(3), 1311-1341.
- Bollerslev, T., Tauchen, G., & Zhou, H. (2009). Expected Stock Returns and Variance Risk Premia. Review of Financial Studies, 22(11), 4463-4492.
Frequently asked questions
What is the VIX?
The Cboe Volatility Index: the market's price for the volatility of the S&P 500 over the next 30 days, derived from S&P 500 option prices and quoted in annualised percentage points. It is often called the fear gauge because it tends to rise sharply when equities fall.
How is the VIX calculated?
Since 2003 it has been model-free. Cboe takes out-of-the-money puts and calls across a wide range of strikes for two expiries around 30 days, weights each option by the inverse square of its strike to compute the fair value of variance, interpolates to exactly 30 days and takes the square root.
What VIX level counts as high or low?
Readings in the low teens are calm, the high teens to low twenties ordinary, the thirties stressed, and the index reached the 80s in late 2008 and March 2020. A level is best read against its own recent history and against the volatility the market is actually realising.
Can you trade the VIX directly?
No. The index is a calculation, not an asset. Exposure comes through VIX futures, VIX options and exchange-traded products such as VXX, all of which track the futures curve rather than the spot index. In normal markets the curve slopes upward, so long positions lose value as futures converge down to spot.
What is the difference between the VIX and realised volatility?
The VIX is forward-looking implied volatility, the price of future variance. Realised volatility is measured from past returns. On average the VIX has traded above the volatility the S&P 500 subsequently realised; the gap is the volatility risk premium.
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