An assumed equity decline accompanied by higher yields and wider credit spreads. Which holdings amplify the equity loss or fail to offset it?
| Assumption | Change | Convention |
|---|---|---|
| Equities | -30.00% | Beta times broad equity shock |
| Government rate | 50 bp | Parallel shift |
| Credit spread | 150 bp | Additive spread-duration effect |
| EUR | -8.00% | USD value of one local currency unit |
| GBP | -10.00% | USD value of one local currency unit |
| JPY | 3.00% | USD value of one local currency unit |
Frozen reference result
The documented $10 million example gives a modeled P/L of $-1,471,875.00 and contribution of -14.72%. All example holdings are mapped; this is not a result for your portfolio.
| Holding | Local change | USD change | P/L |
|---|---|---|---|
| US equities | -30.00% | -30.00% | $-1,200,000.00 |
| Treasury sleeve | -3.43% | -3.43% | $-102,750.00 |
| Corporate bonds | -8.46% | -8.46% | $-169,125.00 |
| Cash reserve | 0.00% | 0.00% | $0.00 |
An equity shock with no automatic bond rescue
The distinguishing assumption is not just the equity decline. Government yields rise and credit spreads widen at the same time, denying the portfolio a presumed flight-to-quality offset. These are deliberately combined hypothetical inputs, not observations from a named crash or a statement about their likelihood.
Read the position contributions before judging diversification. An equity-led narrative does not mean every dollar lost is an equity loss. The frozen portfolio contains two bond sleeves with different sensitivities, while its cash reserve contributes no modeled local price change. Their labels alone do not establish protection.
Locate concentration in value times beta
Equity response is starting value multiplied by a fixed beta and the broad equity shock. Under the assumed 30% decline, beta 1.5 produces a 45% local loss. That is a mechanical illustration, not an estimate that an individual company will track this relationship during distress.
The engine accepts beta from zero to three and equity shocks from minus 60% to plus 60%; combinations producing a local loss of 100% or more are rejected. These are input boundaries, not empirical confidence bounds. Fixed beta cannot describe options, short positions, issuer failures or changing downside sensitivity.
Separate the two bond loss channels
Government-rate duration creates a loss when yields rise, while spread duration creates another loss when credit compensation widens. The corporate sleeve therefore faces both channels. The SEC's corporate-bond bulletin distinguishes interest-rate, credit and liquidity risks [2]; a single bond allocation percentage does not distinguish those exposures.
Duration, convexity and spread duration remain fixed throughout the calculation. Convexity supplies a positive second-order adjustment to the government-rate term only; it does not cushion spreads or guarantee an accurate bond valuation. There is no spread convexity, rate-spread cross term, yield-curve twist or changing call behavior.
A currency gain need not rescue a foreign holding
The yen assumption is positive even though equities decline. For a hypothetical yen-denominated equity holding at beta one, a 30% local loss and 3% currency gain combine to a 27.9% USD loss: 0.70 times 1.03 minus one. The currency helps without reversing the equity damage.
EUR and GBP translation instead deepen local losses in this preset. FX applies only to a holding's supported non-USD denomination, after its local return; the default USD portfolio has no translation effect. Corporate revenues, currency hedges and mixed-currency fund constituents are not inferred from a holding's name.
Challenge overlapping exposure before changing weights
FINRA's concentration guidance highlights overlapping funds and correlated holdings [1]. Here, inspect repeated issuers, sectors and market exposure behind separate rows. Splitting one stock allocation into several labels does not reduce its summed beta exposure. Conversely, a low reported beta does not establish that issuer-specific risk is small.
A useful follow-up holds the market assumptions fixed while challenging one exposure estimate at a time. Record which input changes the loss conclusion, then evaluate unsupported instruments separately. The result remains a static price sensitivity: dividends, trading costs, forced sales and the timing of cash needs are outside this calculation.
Review checkpoints
- Compare equity value times beta, not just the number of stock holdings.
- Rising government yields and wider spreads can make both bond sleeves lose alongside equities.
- Treat currency offsets as compounded translation effects, not guaranteed hedges.
Source notes
Continue the analysis
Designing Equity Shocks for a Portfolio
Build equity stresses with market, sector, and issuer components while controlling overlap, beta uncertainty, and nonlinear exposures.
Explain a scenario loss without inventing a unique cause
Reconcile position and factor contributions, expose interactions and ordering choices, and distinguish attribution from causal explanation.
Finding Concentration Risk Behind Portfolio Labels
Look through funds, aggregate connected exposures, and distinguish capital weights from conditional loss concentrations.
First edition, 16 October 2026. Hypothetical values are teaching inputs, not observed portfolio or provider results.