An assumed equity and credit deterioration with lower government yields. Which assumed offsets survive when different exposures are combined?
| Assumption | Change | Convention |
|---|---|---|
| Equities | -35.00% | Beta times broad equity shock |
| Government rate | -150 bp | Parallel shift |
| Credit spread | 250 bp | Additive spread-duration effect |
| EUR | -7.00% | USD value of one local currency unit |
| GBP | -9.00% | USD value of one local currency unit |
| JPY | 5.00% | USD value of one local currency unit |
Frozen reference result
The documented $10 million example gives a modeled P/L of $-1,106,875.00 and contribution of -11.07%. All example holdings are mapped; this is not a result for your portfolio.
| Holding | Local change | USD change | P/L |
|---|---|---|---|
| US equities | -35.00% | -35.00% | $-1,400,000.00 |
| Treasury sleeve | 11.17% | 11.18% | $335,250.00 |
| Corporate bonds | -2.11% | -2.11% | $-42,125.00 |
| Cash reserve | 0.00% | 0.00% | $0.00 |
A coherent narrative is not an economic forecast
The scenario joins weaker equities and wider credit spreads with falling government yields. That combination asks whether rate-sensitive assets offset deteriorating risky assets. It does not model output, unemployment, corporate earnings or policy decisions, and it supplies no elapsed time over which a recession or recovery unfolds.
The Federal Reserve's 2026 stress-test publication explicitly distinguishes its hypothetical adverse scenario from a forecast [1]. That is a useful interpretive boundary, not a claim that these inputs reproduce the Federal Reserve's exercise. This preset has different shocks, a much narrower model and no calibrated likelihood.
Inspect the assumed government-bond cushion
The reference Treasury sleeve gains because its fixed duration benefits from the downward rate shift, with an additional positive convexity term. Its zero spread duration prevents the widening credit assumption from subtracting value. Both features belong to this example's mapping; neither is a universal property of every defensive asset.
The corporate sleeve receives rate relief too, but loses overall because its spread-duration drag exceeds that relief. Aggregating both holdings into one bond row could obscure this difference. Inspect the separate channels before concluding that the bond allocation either worked perfectly or failed completely as an offset.
Why a larger equity shock need not mean the largest loss
For the frozen portfolio, this preset loses $365,000 less than the equity-led drawdown even though equities fall further. The Treasury result improves by $438,000 and corporate bonds by $127,000, while equities lose an additional $200,000. These differences reconcile to the net improvement without ranking the scenarios by likelihood.
This comparison depends on the selected holdings and sensitivities. A portfolio with little government-rate exposure may receive a much smaller cushion. The calculation uses no correlation matrix and does not infer diversification from history: joint factor directions are stipulated, then applied deterministically to each mapped holding.
Challenge the offset without rewriting the premise
A useful challenger keeps the equity and spread stresses but reduces the assumed yield decline. That isolates reliance on the rate cushion. Test curve twists separately with a suitable curve model; the single parallel shift represents maturity differences only through fixed duration and convexity inputs, not distinct yield movements.
Convexity is fixed and applies only to government rates; there is no spread curvature, default recovery or evolving beta. EUR and GBP losses and the JPY gain compound with local returns only for corresponding foreign holdings. Neither FX hedges nor changes in the sensitivities during a contraction are inferred.
Turn the result into a bounded review question
The Basel Committee's stress-testing principles emphasize objectives, governance, methodology and documentation [2]. Applied as a review discipline here, record which offset supports the conclusion and what evidence would challenge its exposure estimate. The source provides a framework for scrutiny, not certification of these shocks or the calculator.
A recession narrative can also imply redemption pressure, financing losses and forced sales, but none is generated by this price calculation. Check those obligations separately, retain unmodeled holdings and avoid treating complete market-value mapping as complete risk coverage. Income, reinvestment, trading costs and a path through the stress remain excluded.
Review checkpoints
- The government-rate cushion is an assumption whose importance depends on the actual holdings.
- Compare combined factor effects rather than ranking severity by the equity shock alone.
- Challenge rate offsets and funding needs separately; this is not a macroeconomic or liquidity simulation.
Source notes
Continue the analysis
Designing Coherent Portfolio Stress Scenarios
Connect an economic narrative to consistent factor shocks, horizons, and valuation channels without counting the same effect twice.
When diversification changes under stress
Read correlation assumptions, diagnose disappearing offsets, and distinguish a covariance sensitivity from a specified scenario loss.
Read the stress report before accepting its headline
Audit scope, coverage, sign conventions, denominators, loss bridges, and limitations before interpreting a portfolio stress total.
First edition, 16 October 2026. Hypothetical values are teaching inputs, not observed portfolio or provider results.