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Beta-weighted delta

Every position's directional exposure converted into equivalent shares of one benchmark, giving a single portfolio risk number.

Beta weighting restates a mixed book in one currency: "if the index moves 1%, I make or lose this much". Each position's delta exposure is scaled by its beta relative to the chosen index and by relative price.

Example: a portfolio shows +$180 of profit per 1-point move in SPY at SPY 500. A 1% index move (5 points) is therefore about +$900. On a $60,000 account, that is a 1.5% swing per 1% index move, so effective market exposure is roughly 1.5x - useful information that no position list makes obvious.

Options traders rely on it because raw deltas across different underlyings cannot be added. It is an approximation: beta is unstable, and it breaks down precisely in crashes, when correlations spike and option deltas move fast. Treat it as a dashboard gauge, not a guarantee.

Related: portfolio-beta, delta, net-exposure, effective-leverage

See it drawn

Original diagrams for the ideas on this page. Illustrative, not real market data.

How a call option's delta changes with the underlying priceAn S-shaped curve rising from zero, passing through about a half at the strike, and flattening near one.Delta of a call option1.000.5008090110120Out of the moneyAt the moneyIn the money1.00 means it moves one-for-one with the stockdelta ≈ 0.50 at the strikeStrike 100Underlying price
Delta across the range of prices. Delta says how much a call's price moves for a one-point move in the stock. Far below the strike it is near 0 and the option barely reacts; at the strike it is about 0.50; far above it approaches 1 and tracks the stock.

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