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ADVANCED · CONCEPT LIBRARY

Premium Selling and VRP

Option sellers are paid to carry the risk of large moves. Measuring that payment well, and sizing for the losses, is the whole job.

What the premium is

When you sell an option you collect the premium up front and take on the risk of a large move against you. The variance risk premium is the gap between the variance option prices imply and the variance that actually follows (Carr & Wu, 2009). Research has found it informative about future returns (Bollerslev, Tauchen & Zhou, 2009).

A common shortcut compares today's implied volatility with recent realized volatility. It is useful context, but the two cover different windows: one looks forward and the other looks back.

An example

A stock's one-month implied volatility is 30% and its realized volatility over the last month was 20%. The spread looks generous. If earnings are due next week, though, the 30% may be a fair price for that event, and the stock could move more than the option priced. The spread describes the past month and today's price; whether selling pays off depends on what happens next.

Scores and sizing

Volatility spreads, term structure, skew and the gamma regime can all feed a view on whether selling premium looks well paid. A score built from them summarizes those inputs. It is not an expected return or a win rate.

Caveat: the Kelly criterion gives a growth-maximizing bet size only when you know the probabilities and payoffs. Option sellers rarely know either precisely, and the losses come in rare, large jumps. Using a fraction of Kelly reduces risk but cannot fix wrong inputs.

THE JARGON

Variance risk premium
Implied variance minus the variance that later occurs: the payment for bearing volatility risk.
Kelly criterion
A bet-sizing rule that needs known probabilities and payoffs. Rarely known for options.

SOURCES

Worked examples are our own calculations from the inputs stated in each example. Exact definitions, units and the dealer sign convention are on the Methodology page →

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Educational only — not financial advice.