Measures

Portfolio Greeks: Beta-Weighting a Book of Options

By Rohan Fernandes, Founder, Optionscanner · Updated 2026-09-22 · Educational reference, not investment advice

Position greeks do not add honestly across different stocks: a share of delta in a staid utility and in a volatile semiconductor name are different exposures. Beta-weighting converts every position's delta into equivalent units of one reference index, making the portfolio's net directional exposure a single meaningful number.

Why do raw greeks mislead at the portfolio level?

Summing raw deltas treats a dollar of exposure in every stock as interchangeable, but stocks move different amounts for the same market move. Beta scales each position by how much its stock historically moves per 1% move in the index; the beta-weighted sum answers the question a portfolio owner actually has: roughly what happens to this book if the market moves 1% tomorrow? Expressed in dollars per $1 of index move, the number is comparable across accounts, across time, and against a cap.

Which aggregates earn a cap?

Why does an aggregate view exist next to per-position rules?

Because concentration hides between positions. Every position can pass its own sizing and delta band while the book stacks the same exposure five times; only the aggregate sees it. The practical pattern is layered: per-position rules bound each trade, aggregate caps bound the book, and a combined view across accounts, agent positions plus manual ones beta-weighted the same way, bounds the whole, since risk does not care which surface opened the position.

Frequently asked questions

Why do raw greeks mislead at the portfolio level?

Summing raw deltas treats a dollar of exposure in every stock as interchangeable, but stocks move different amounts for the same market move. Beta scales each position by how much its stock historically moves per 1% move in the index; the beta-weighted sum answers the question a portfolio owner actually has: roughly what happens to this book if the market moves 1% tomorrow? Expressed in dollars per $1 of index move, the number is comparable across accounts, across time, and against a cap.

Which aggregates earn a cap?

Net beta-weighted delta: the book's directional bet. A premium-selling book that drifts to a large net delta has quietly become a directional fund; a cap, often expressed relative to the theta the book collects, keeps the income engine from morphing into a market call. This ratio is one of the balancing gates in Options Scanner's portfolio logic. Net vega: the volatility bet. Ten defined-risk spreads can sum to one large short-volatility position; a vega cap bounds what a single volatility shock hits.

Why does an aggregate view exist next to per-position rules?

Because concentration hides between positions. Every position can pass its own sizing and delta band while the book stacks the same exposure five times; only the aggregate sees it. The practical pattern is layered: per-position rules bound each trade, aggregate caps bound the book, and a combined view across accounts, agent positions plus manual ones beta-weighted the same way, bounds the whole, since risk does not care which surface opened the position.

Sources

More in The measures behind every number: Dividends and Options: Pricing and Assignment Effects · Probability of Profit: What POP Means and How It's Computed · Dealer Gamma Exposure (GEX): Walls, Flips, and Regimes

Educational reference. Optionscanner is a software tool. It is not a broker-dealer, an investment adviser, or a fiduciary, and nothing on this page is investment advice or a recommendation to buy or sell any security. Options involve risk and are not suitable for every investor; read the Characteristics and Risks of Standardized Options before trading. Examples use hypothetical numbers for illustration only.