Scenario Analysis for Derivatives Markets

Ask how the position behaves when conditions change

What happens to an option position if the underlying gaps lower while implied volatility and time also change? A scenario analysis separates those inputs rather than assuming the derivative moves in a straight line with the underlying. Identify the exact contract, position direction, quantity, strike, expiry, and current market marks before calculating illustrative outcomes.

An option's payoff at expiration follows its contract terms, but before expiration its market value can also reflect remaining time, volatility assumptions, rates, distributions, and liquidity. Time decay can affect an option's premium, but it is not a fixed daily loss: its modeled effect can change with the underlying, volatility, and remaining time. A payoff diagram at expiry is therefore not the same as a forecast of the option's value tomorrow. State which question a table or chart answers.

Build cases around more than the underlying

Use a small set of explicit cases to show how the result changes when the underlying rises, falls, or moves sharply between observations. Then vary implied volatility and remaining time separately. This makes clear that a position can lose value even if the underlying moves in a direction that seems favorable, depending on the structure and the other pricing inputs.

A gap can skip prices at which a model scenario assumes an orderly adjustment. A marked value may not be executable for the full position, especially during a fast market or around an event. Keep calculation assumptions distinct from any claim about what a later trade could be filled at.

• An underlying move with volatility and time held at the stated starting assumptions.
• A volatility increase or decrease with the underlying unchanged, noting the model used for the repricing.
• A passage-of-time case that keeps the expiry date fixed and does not call theta a guaranteed daily loss.
• A discontinuous price gap that tests whether the position's response differs from the smooth path in the base illustration.

Interpret sensitivities as local estimates

Greeks can help describe how an option model responds near a specified set of inputs. Delta estimates local price sensitivity to the underlying; gamma describes how delta itself may change; vega estimates sensitivity to a volatility input. These are not guarantees, probabilities, or fixed amounts. They depend on the contract, model, market inputs, and the size of the move, and they can change as time passes or prices move.

For a futures position, a price scenario can be translated through contract size and position direction, but funding, basis, and margin conditions may still matter. Do not combine an option Greek estimate with a futures payoff as if both were the same measure.

Separate model outputs from market evidence

Label each case with its assumptions, valuation time, and limitations. Identify exposures omitted from the calculation, such as execution costs, changing spreads, collateral terms, or early exercise and assignment where applicable. A scenario table helps reveal conditional outcomes; it cannot establish which case will occur.

Keep conclusions conditional

A set of modeled cases cannot determine whether a position suits a particular person or predict which outcome will occur. This educational material is not individualized financial, tax, legal, insurance, or credit advice.