Use local sensitivities as diagnostics, compare them with suitable full revaluation, and inspect volatility, time, exercise conditions, and path dependence. Show approximation error separately rather than hiding it inside an unexplained adjustment.
Locate the contingent terms
Begin with the instrument terms rather than the position's asset-class label. An equity-linked note, callable bond, or option spread may respond quite differently from the underlying asset it references. Identify strikes, expiry dates, exercise rights, barriers, caps, floors, and settlement conventions. Ask which of those features the calculation actually represents and which have been replaced by a simple proxy.
A report can display a plausible market value while omitting a critical contingency. Reconcile the modeled instrument with the position record, including whether the portfolio owns or owes the payoff. For structured exposures, retain a plain-language description of the cash-flow trigger beside the numerical result. A reviewer should be able to explain what changes when the stressed market crosses that trigger.
Read the sensitivity units literally
CFA Institute's explanation of the option Greeks distinguishes delta, gamma, theta, and vega. In report terms, these describe different directions of change, not interchangeable measures of position size. Confirm whether a displayed delta is per option unit, per contract, or already multiplied by holdings. Verify whether volatility sensitivity is quoted per percentage point or per unit of decimal volatility.
Gamma describes changing delta, so a delta-neutral position need not be neutral to a large underlying move. Offsets can also disappear across expiries or strikes even when the starting sum looks small. Request gross sensitivities alongside the net total. The gross view helps reveal whether apparent neutrality comes from genuinely limited exposure or from large opposing positions with different response shapes.
Hypothetical calculation: inspect a local expansion
Assume an invented long option has delta 0.40 and gamma 0.02 per underlying price unit. Hold time, volatility, and rates fixed. For an underlying move of plus five dollars, the delta contribution per option unit is USD 2.00, and the gamma contribution is one half times 0.02 times 25, or USD 0.25. Their local approximation totals USD 2.25.
For a minus-five-dollar move, the same expansion gives minus USD 2.00 plus USD 0.25, or minus USD 1.75. With ten contracts and an assumed multiplier of 100, the estimates become plus USD 2,250 and minus USD 1,750. These are invented Taylor approximations, not option quotes or full-revaluation results. They demonstrate asymmetry while deliberately leaving higher-order terms outside the calculation.
| Hypothetical underlying move | Delta contribution per unit | Gamma contribution per unit | Ten-contract estimated change |
|---|---|---|---|
| +USD 5 | +USD 2.00 | +USD 0.25 | +USD 2,250 |
| -USD 5 | -USD 2.00 | +USD 0.25 | -USD 1,750 |
Demand a revaluation bridge
For material nonlinear holdings, compare the local estimate with a pricing method suitable for the contractual features. Display starting value, stressed value, and the difference from the sensitivity approximation. Full revaluation means evaluating the selected model at stressed inputs; it does not mean obtaining a guaranteed executable market price. Calibration, interpolation, and missing market data still limit the resulting estimate.
Investigate an expanding gap between the two methods as shock size increases. A large difference can be an expected consequence of curvature, but it can also reveal a multiplier error, an incorrect sign, or a stale sensitivity. Test small moves first, where the methods should be more closely aligned under compatible assumptions, before interpreting disagreements at the most severe scenario point.
Do not substitute expiry payoff for today's value
CFA Institute's Options Strategies reading separates option structures and their expiration outcomes from the market inputs affecting option values. That distinction matters when a report's horizon precedes expiry. A payoff chart alone omits remaining time value. Conversely, applying today's option price relationship after the contract expires ignores settlement and any resulting position in the underlying asset or cash.
Record whether the stress is instantaneous or follows a sequence through time. For a barrier instrument, two paths with the same endpoint can trigger different contractual outcomes. For an exercisable contract, exercise assumptions can change cash requirements before the final horizon. Flag these features as unsupported when the available method cannot represent them; do not report a simple underlying shock as complete coverage.
Stress the surface and the offsets
A single volatility increase may be inadequate when holdings span strikes and maturities. Document whether the scenario changes the entire implied-volatility surface uniformly or alters its shape. Check that the stressed inputs remain usable by the pricing method. An automatic repair that clips or smooths extreme values should be visible because it can materially change the reported exposure and the comparison between positions.
Review hedge behavior under the same joint inputs as the position it offsets. A favorable price move in a hedge is not evidence that its proceeds arrive before another contract requires cash. Separate valuation offsets from financing capacity and distinguish existing holdings from hypothetical rebalancing. Any assumed rebalancing needs its own timing and cost assumptions rather than silently restoring neutrality at every step.
Describe the failure boundary
The report's conclusion should state where the approximation stops being useful. That boundary might be a large shock, proximity to expiry, a barrier crossing, or unavailable volatility data. Identify the positions beyond it and estimate their materiality without assigning unsupported precision. A smaller modeled total with prominent exclusions can be less reassuring than a larger total produced by a more complete method.
A practical review request asks for a contract-term check, an independent price comparison, or a targeted alternative scenario. It does not infer an options strategy from one favorable simulated outcome. The objective is to understand how the reported loss was produced and what remains outside it, while keeping hypothetical valuation, collateral needs, and actual execution evidence in distinct categories.
Review checkpoints
- Net delta can conceal material curvature and volatility exposure.
- Check multipliers, Greek units, and contractual triggers.
- Full revaluation remains model-dependent and is not an executable quote.
Source notes
Continue the analysis
Mapping Portfolio Holdings to Risk Factors
Create an auditable bridge from securities and contracts to signed factor exposures, consistent units, and reconciled scenario results.
Where duration and convexity stop explaining the loss
Audit rate-shock units, duration conventions, curve shape, embedded options, and the gap between approximations and bond revaluation.
Read margin demands as obligations with deadlines
Distinguish variation margin, incremental initial margin, collateral eligibility, and cash availability when reviewing a stress scenario.
First edition, 16 October 2026. Hypothetical values are teaching inputs, not observed portfolio or provider results.