Volatility Risk Premium Lab

Implied volatility is usually a markup.

The volatility risk premium is the tendency for option-implied volatility to exceed the volatility markets subsequently realize — the compensation sellers demand for taking crash risk. This project measures it across four asset classes, back to 1990, and asks whether it survives an honest out-of-sample test.

What this does not prove. A positive average VRP is a descriptive fact about history. It is not evidence that an investor can earn it: bid/ask spreads and commissions roughly halve the illustrative Sharpe below, the distribution is sharply left-skewed (the S&P 500’s VRP has a skewness of -3.2 and a worst-1% day of -23 points), and selling volatility means holding an uncapped loss through exactly the crashes that produce the premium. Read this as a study of a risk premium, not a strategy.
Fact

Implied volatility has exceeded subsequent realized volatility by an average of 3.7 points for the S&P 500 (95% CI 2.9 to 4.3), positive in 4 of 4 markets out of sample.

Interpretation

Option buyers are paying for insurance and convexity; sellers are paid to warehouse the risk of a large move. The premium is largest in the calmest regimes and inverts during crises.

Investability

Hard. After costs the edge shrinks sharply, the losses cluster, and a delta-unhedged seller is also betting on small moves. This is difficult and dangerous to monetize.

Cross-asset

Where the premium shows up

MarketMean VRP95% CISkewWorst 1%OOS VRPt-statStraddle Sharpe…after costs
S&P 500^VIX+3.672.94.3-3.2-23+3.7010.31.310.77
Nasdaq-100^VXN+4.043.15.0-2.1-24+2.908.70.740.32
Crude oil (USO)^OVX+5.783.96.9-0.3-22+6.147.10.490.19
Gold (GLD)^GVZ+2.651.93.5-1.7-24+2.026.80.480.07

VRP is in annualized volatility points: the vol index minus realized volatility over the next 21 trading days. t-stat is on non-overlapping monthly observations. “Straddle Sharpe” is the illustrative unhedged monthly short straddle; “after costs” applies a 5% bid/ask haircut and 0.15% commission — see methodology.

Markets, positive OOS
4 / 4
S&P 500 mean VRP
+3.67
volatility points
S&P 500 VRP skewness
-3.2
fat left tail
Oil: largest premium, worst tail
+5.78
intramonth -47%

Data through Jul 2026 · generated Aug 2026