An assumed upward rate shift combined with lower equity valuations and wider spreads. How much of the loss comes from rate sensitivity rather than capital weight?
| Assumption | Change | Convention |
|---|---|---|
| Equities | -15.00% | Beta times broad equity shock |
| Government rate | 150 bp | Parallel shift |
| Credit spread | 100 bp | Additive spread-duration effect |
| EUR | -5.00% | USD value of one local currency unit |
| GBP | -5.00% | USD value of one local currency unit |
| JPY | -8.00% | USD value of one local currency unit |
Frozen reference result
The documented $10 million example gives a modeled P/L of $-1,116,875.00 and contribution of -11.17%. All example holdings are mapped; this is not a result for your portfolio.
| Holding | Local change | USD change | P/L |
|---|---|---|---|
| US equities | -15.00% | -15.00% | $-600,000.00 |
| Treasury sleeve | -9.83% | -9.82% | $-294,750.00 |
| Corporate bonds | -11.11% | -11.11% | $-222,125.00 |
| Cash reserve | 0.00% | 0.00% | $0.00 |
A parallel shift is not a policy-rate forecast
The rate input represents a parallel government-yield shift applied to every modeled bond. A 150 basis point rise means an absolute yield change of 0.015, not a 150% increase in its starting yield. No starting yield curve or sequence of central-bank decisions is supplied.
This simplification cannot express a steepening curve, different sovereign-market responses or a short-rate increase alongside falling long yields. The same shift also reaches foreign bonds before FX translation. The preset is a hypothetical valuation reset, with neither a forecast horizon nor a calibrated chance of occurring.
Measure rate exposure separately from capital weight
FINRA explains duration as price sensitivity rather than simply time to repayment [1]. In this engine the input acts as fixed modified-duration-style sensitivity. It is not the number of years the scenario lasts, and the model does not age bonds or recompute duration after yields move.
For the default bond sleeves, value times duration totals $31 million in dollar-duration exposure. Their first-order loss per one basis point rise is $3,100, before convexity. This separates the amount invested from its sensitivity and shows why equal capital allocations need not generate equal rate losses.
Read convexity as an approximation correction
For the Treasury sleeve, duration seven makes the first-order loss 10.5%. Convexity 60 adds 0.675 percentage points under the 150 basis point shock, leaving a 9.825% modeled local loss. The correction is positive because the rate change is squared, not because higher rates benefit this holding.
Accepted duration and spread-duration inputs range from zero to 30, convexity from zero to 1,000, and rate shocks from minus 300 to plus 300 basis points. These software limits do not validate the approximation. Negative convexity, changing sensitivities and embedded-option repricing require methods beyond the supported inputs.
Do not attribute every loss to interest rates
The corporate sleeve also receives a separate spread-duration loss. Its convexity term uses only the government-rate shift, not the sum of rate and spread changes. Applying convexity to the combined change would silently substitute another model. Spread curvature and interactions between rate and spread movements are omitted.
The equity decline is independently specified and multiplied by fixed beta. The engine does not derive an equity valuation multiple from bond yields or model company borrowing costs. Likewise, adverse FX assumptions multiply supported foreign holdings' local returns; they are not a second interest-rate effect on the default USD holdings.
Distinguish immediate marks from later cash flows
The SEC's bond overview separates interest-rate risk from credit, inflation, liquidity and call risk [2]. A favorable credit assessment cannot eliminate the market-value loss from an assumed yield rise. Conversely, this price shock says nothing about whether an issuer will make its scheduled contractual payments.
USD cash stays flat here because interest income is excluded; the model does not credit a future benefit from reinvesting at higher yields. Review curve exposure, callable holdings and near-term funding needs separately before interpreting the reported loss as a complete account of a rate-sensitive portfolio.
Review checkpoints
- Duration is held fixed and measures price sensitivity, not the scenario's elapsed time.
- Keep government-rate, spread and independently assumed equity effects distinct.
- A permitted input value does not certify that duration-convexity repricing is accurate.
Source notes
Continue the analysis
Stress Testing Interest-Rate Exposure
Translate parallel and nonparallel yield shocks into portfolio value changes while distinguishing duration, convexity, and cash-flow risk.
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.
Mapping Portfolio Holdings to Risk Factors
Create an auditable bridge from securities and contracts to signed factor exposures, consistent units, and reconciled scenario results.
First edition, 16 October 2026. Hypothetical values are teaching inputs, not observed portfolio or provider results.