Variance Risk Premium

The variance risk premium (VRP) is the amount by which implied volatility, priced into options today, has tended to exceed the realized volatility that subsequently occurs. It reflects the price buyers are willing to pay for protection against unpredictable moves - a structural premium that, averaged over long samples, has historically made systematically selling volatility a profitable, though not risk-free, activity.

Formally, the variance risk premium is the gap between the variance implied by option prices today and the variance the underlying subsequently realizes over that same window. It is the named, specific version of the general observation - covered on the realized-vs-implied volatility page - that implied volatility tends to sit above what actually occurs; VRP is the structural premium that spread represents, and the concept that instruments like variance swaps are built to isolate and trade.

The standard explanation is an insurance analogy: buyers of options, especially downside puts, are effectively buying protection against a bad outcome, and are willing to pay more for that protection than the statistically expected payout, the same way insurance buyers pay more than their expected claim. Sellers of that protection are compensated with the premium for bearing the risk of a large, infrequent loss.

The premium is persistent on average but not guaranteed session to session or even year to year. It can compress sharply or turn negative around periods when realized volatility spikes unexpectedly, which is exactly when option sellers who collected the premium can face their largest losses - the tail risk the premium is compensation for in the first place.

Like every volatility-pricing concept on this site, VRP is descriptive of a historical, structural tendency, not investment advice, and any approach expressed around harvesting it carries genuine drawdown and tail risk that the average, long-run premium does not eliminate.

The VIX index itself is constructed, by design, to approximate the fair strike of a 30-day variance swap on the S&P 500 - a direct link between the variance risk premium concept and one of the most widely watched volatility measures in the market. This is part of why the spread between VIX and subsequently realized S&P 500 volatility is one of the most commonly cited real-world illustrations of the variance risk premium at work.

The premium is not uniform across horizons: the gap between implied and subsequently realized volatility can differ meaningfully between near-term and longer-dated expirations, which connects the variance risk premium concept to the shape of the VIX term structure. A steepening or flattening term structure can reflect changing views on where that premium is largest, not just a shift in the overall level of expected volatility.

Because the premium compensates sellers for bearing tail risk, it tends to interact closely with the general shape of volatility skew: markets with steeper downside skew, reflecting stronger demand for put protection, have often shown a correspondingly larger variance risk premium concentrated on the put side of the chain rather than spread evenly across strikes.