Volatility Risk Premium Explained

By Ryan O'Connell, CFA, FRM Published November 9, 2026

The volatility risk premium helps explain why selling options on a broad stock index has historically offered an average reward. Buyers often pay for protection against large market moves, and sellers accept the obligation to provide it. That can favor sellers in expected returns while exposing them to substantial losses when protection becomes most valuable.

The useful question is therefore more specific than whether option sellers win more often: does the price received adequately compensate for the risk, capital, and costs of this particular position? A high win rate cannot answer that question, and an observed gap between implied and realized volatility is not automatically a trading profit.

What Is the Volatility Risk Premium?

The volatility risk premium is compensation for accepting uncertainty about future market volatility and the losses associated with adverse outcomes. In broad equity-index markets, researchers have found that option prices have often incorporated more variance than subsequently materialized, on average. Related studies of hedged options also find an average cost to buying volatility exposure. These are historical findings, rather than a promise about the next contract.^[2][3]

Two volatility measures help explain the idea:

• Implied volatility comes from today’s option prices. It expresses the movement priced into an option, usually at an annualized rate. See the separate guide to implied volatility for how it is extracted.
• Realized volatility measures how much returns actually varied during an observation window. The volatility over the next month is only known after that month ends. Volatility measured over the previous month is historical information that can help forecast it, rather than the future outcome itself.

The VIX is a familiar broad-index measure: Cboe constructs a constant 30-day volatility measure from S&P 500 put and call prices across many strikes. It is not simply the implied volatility of one at-the-money option.^[1]

The Formula: Expected Premium vs. Realized Gap

Research often measures the premium in variance, which is volatility squared. This matters because averaging and taking square roots give different results. An average gap between VIX and subsequent realized volatility is informative, but it is not a pure, directly observable measure of expected compensation.

For a matched underlying and horizon, let K_var denote an option-implied variance strike and V_realized the annualized variance over the coming observation period. Using a convention that is positive when expected compensation favors the variance seller:

The expectation on the right is a forecast. It cannot be observed with certainty. The variance strike reflects the risk-adjusted pricing probabilities embedded in options, often called risk-neutral probabilities; those need not match actual event probabilities.^[2]

After the period ends, the forecast can be replaced by the outcome:

Check the sign convention. Some papers, including Carr and Wu’s study, report realized variance minus the implied strike from the perspective of a buyer of variance. A negative premium under that convention can describe the same seller advantage as a positive number under the convention used here.^[2]

Also keep the units separate. If volatility is 20% implied and 15% realized, the volatility gap is 20% − 15% = 5 percentage points. In decimal-return variance units, the gap is 0.20² − 0.15² = 0.0400 − 0.0225 = 0.0175. It is not the square of the five-point gap. Nor does squaring one option’s IV necessarily reproduce a broad option-implied variance strike.

Why Might Option Sellers Earn a Premium?

Protection can be valuable precisely when other investments are doing badly. An investor who owns a diversified stock portfolio may willingly pay for puts that help during a large market decline. The seller accepts the other side of that contingent loss. This is economically similar to accepting insurance risk, although an insurance business also has expenses and other cash flows.

Demand matters too. Bollen and Whaley found that changes in S&P 500 implied volatility were particularly affected by buying pressure for index puts. Such demand can support option prices, but it does not establish that buyers are irrational: reducing a damaging portfolio loss can be worth a recurring cost.^[4]

The distinction between compensation and mispricing is essential. Broadie, Chernov, and Johannes emphasize the sampling uncertainty in option returns and show how jump-risk compensation and estimation risk can explain returns on market-neutral option portfolios. A favorable historical seller average is not, by itself, evidence of a risk-free opportunity.^[5]

The following video develops the pricing and crash-risk intuition. The examples below then separate the volatility exposure from the probability of a profitable trade.

Volatility Risk Premium Example

To see why the potential reward comes with substantial risk, consider a hypothetical one-month S&P 500 variance contract. This is a simplified illustration of variance exposure, not the payoff of an ordinary call or put. It settles the difference between a fixed variance strike and that month’s realized variance.

The 15% outcome pays the seller $10,000 × (0.0400 − 0.0225) = $175. The 35% outcome produces a settlement of $10,000 × (0.0400 − 0.1225) = −$825. That loss is about $825 / $175 = 4.7 quiet-month gains. The scenarios show how the payoff changes; without probabilities, they say nothing about expected profit.

An individual option’s result is more complicated. An unhedged short put also depends on market direction and its strike. Delta hedging reduces immediate directional exposure, but the required hedge changes as the market moves. The timing of moves, changing gamma, gaps between hedge adjustments, and costs all affect the result. A positive broad IV-minus-realized gap does not guarantee a profit on that option.

The separate guide to variance and volatility swaps covers the instruments and replication in greater detail.

Volatility Risk Premium vs. High Win Rate

Before costs, the matched buyer’s and seller’s option-contract gains and losses offset. That accounting identity does not require either side to win half the time. A strategy can have frequent small gains and infrequent large losses at a price that offers no positive expected profit.

Consider a separate, deliberately simplified SPY put example. Suppose SPY starts at $500 and you sell one standard 100-share put with a $450 strike for $1 per share, receiving $1 × 100 = $100. Assume only two possible expiration prices: $500 with 95% probability or $430 with 5% probability. These probabilities and prices are invented teaching assumptions, not market forecasts. Ignore early exercise, financing, interest, and costs.

In the falling-market outcome, the put’s payout is ($450 − $430) × 100 = $2,000, so the seller’s net result is $100 − $2,000 = −$1,900. Expected seller profit is 0.95 × $100 + 0.05 × (−$1,900) = $95 − $95 = $0.

The seller wins in 95% of outcomes while earning zero expected dollars before costs. The premium merely equals the assumed expected payout: 0.05 × $2,000 = $100. This is an expected-dollar calculation, not a claim that the option offers fair compensation for bearing crash risk.

Likewise, the percentage of historical dates when implied volatility exceeded the following month’s realized volatility is not a trade win rate. It specifies no strike, entry, exit, hedge, or cost, and overlapping forward windows share many of the same daily returns.

What Does the Evidence Show?

Two influential studies examine the premium through different exposures. Bakshi and Kapadia found negative average gains for buyers of delta-hedged S&P 500 options in their 1988–1995 sample. Carr and Wu compared option-implied variance strikes with subsequent realized variance using data spanning January 1996–February 2003; the seller-side evidence was particularly strong for the S&P 500, S&P 100, and Dow.^[2][3]

Index evidence should not be applied uniformly to individual stocks. Carr and Wu found substantial variation across individual companies, with conclusions also depending on how the premium was scaled. A single company’s earnings or other event can create a very different exposure from broad-market protection. Differences across strikes, summarized by the volatility smile and skew, also matter.

A Seller Premium Does Not Guarantee Stock-Market Outperformance

The Cboe PutWrite Index (PUT) is a useful strategy benchmark. It hypothetically sells one-month at-the-money S&P 500 puts and holds Treasury bills as collateral. In Oleg Bondarenko’s 2019 study, its annual compound return differed from the S&P 500 total return as follows:^[6]

The benchmark earned a positive return in both samples, but selling puts did not ensure a higher compound return than holding stocks. PUT also combines volatility exposure with directional market risk and collateral yield; its total return is not an isolated measurement of the volatility risk premium.

Cboe funded the study. The benchmark history includes backtested periods before launch and excludes transaction costs and taxes. These are historical index results, rather than returns an investor could necessarily have achieved.^[6]

How to Evaluate a Volatility-Selling Strategy

To assess an actual position, connect the price received to the exposure being taken:

1. Match the comparison. Use the same underlying, future horizon, and annualization conventions. The past month’s quiet trading does not establish that the next month will be quiet. Historical volatility estimators provide inputs, not an observable forward premium.
2. Identify the other risks. A covered call retains stock exposure and gives up some upside. A cash-secured put retains substantial downside even with cash reserved for assignment. Neither isolates the volatility premium.
3. Evaluate losses as well as averages. Examine adverse price moves, a volatility jump, a wider bid-ask spread, and any need to close or hedge early. Include the rest of the portfolio: an option loss may arrive alongside losses on stocks already owned.
4. Account for capital and costs. Compare net outcomes after commissions, spreads, hedge trading, and financing. Relate profits and losses to the capital needed to sustain the position, not just the option premium collected.
5. Read the contract and broker requirements. Check settlement, exercise, assignment, and collateral terms. FINRA notes that some short-option positions can require additional margin and may be liquidated if the required funds are not provided.^[7]

For a buyer, the decision is different. A protective put can be useful even if recurring protection lowers expected returns, because limiting a particular loss may serve a financial need. For a seller, the relevant reward is compensation for the risk accepted, much as the equity risk premium compensates investors for bearing stock-market risk.

Common Mistakes

Calling a high win rate an edge. The size of losing outcomes and the price received determine expected profit alongside their probabilities. Counting profitable expirations leaves out essential information.

Treating all option premium as profit. The cash received comes with an obligation. Buyback costs, exercise payouts, hedge losses, and expenses can exceed it.

Calling IV minus past realized volatility the current risk premium. That compares a future price with past conditions. It may motivate a forecast, but it does not directly measure expected future compensation.

Assuming that hedging removes the difficult risk. Delta hedging reduces immediate directional exposure; it does not remove volatility risk, sudden price gaps, liquidity constraints, or the costs of adjusting the hedge.

Equating a high IV with a bargain for sellers. High IV may accompany greater expected volatility and worse loss scenarios. Its absolute level, or its position in a historical range, does not establish that it exceeds future risk by enough to justify a trade.

Limitations of the Volatility Risk Premium

Expected future variance is uncertain, and estimates depend on models and data. Historical results are sensitive to the sample, instrument, strike, maturity, hedge rules, and return denominator. Rare losses also make it difficult to infer a stable average from a short track record.

Collateral changes how obligations are funded; it does not remove economic loss. OCC’s strategy guides explain that a covered call can lose the stock investment less the premium if the stock becomes worthless, while a cash-secured put can lose the strike price less the premium per share.^[8][9] The premium should be evaluated alongside that loss exposure and its effect on the whole portfolio.

Sources

1. Cboe, Cboe Volatility Index Methodology, version 6.0, revised February 26, 2026; objective and calculation sections.
2. Peter Carr and Liuren Wu, Variance Risk Premiums, Review of Financial Studies, March 2009; definitions and Section 3.1.
3. Gurdip Bakshi and Nikunj Kapadia, Delta-Hedged Gains and the Negative Market Volatility Risk Premium, Review of Financial Studies, Summer 2003.
4. Nicolas P. B. Bollen and Robert E. Whaley, Does Net Buying Pressure Affect the Shape of Implied Volatility Functions?, Journal of Finance, April 2004.
5. Mark Broadie, Mikhail Chernov, and Michael Johannes, Understanding Index Option Returns, Review of Financial Studies, November 2009; author-institution abstract.
6. Oleg Bondarenko, Historical Performance of Put-Writing Strategies, 2019; Exhibits 1, 6, and 16 and report disclosures. Research financially supported by Cboe.
7. FINRA, Options; contract types, risks, and terms.
8. OCC / Options Industry Council, Covered Call (Buy/Write); description and maximum loss.
9. OCC / Options Industry Council, Cash-Secured Put; description and maximum loss.

Sources accessed November 9, 2026. Numerical teaching examples are hypothetical; historical benchmark statistics retain their original observation periods.