IBBC CAPITAL ACADEMY / 2027
Translate a curve view into controlled rate exposure
Independent IBBC Capital draft content for self-study. Not affiliated with or endorsed by CFA Institute. New lessons await subject-matter review. No CFA designation or official PSM credit is awarded.
Learning goals
- Diagnose the case using the stated constraints and quantitative evidence.
- Defend a conditional decision and identify what further evidence could reverse it.
Draft · approximately 95 minutes, excluding further revision.
Decision case · fictional facts
Bond portfolio value 50 m has key-rate durations 1 at 2 years,3 at 5 years and 2 at 10 years. A forecast shock is+20 bp,+10 bp,−15 bp respectively. Carry and roll-down are not included in the first-order price calculation. The manager may trade futures but must keep collateral liquid.
Decompose expected return
Bond total return combines income, roll-down, changes in benchmark yields, spread changes and currency effects. Forward rates encode current pricing, not guaranteed future spot rates. If the view matches forwards, do not count priced roll-down as riskless alpha. Divergent level, slope or curvature views require exposures aligned with the relevant curve nodes.
Use key rates and convexity
First-order price sensitivity is minus the sum of key-rate duration times its local yield shock. Overall duration alone can miss steepening or butterfly risk. Convexity becomes important for larger moves; embedded options make sensitivity state-dependent. Expected volatility can change the value of callable or option positions even without a parallel yield forecast.
Implement across markets with funding discipline
Futures require contract-specific DV 01, delivery-option and basis analysis. Cross-currency curve trades add FX, hedging-cost, collateral and country risks. Compare expected return after funding and trading costs. Stress the opposite curve move and a margin call at the same time; economic hedges can fail operationally if collateral cannot be posted.
A market-consistent view does not create free carry
When expected future spot rates equal today’s forward rates, a bond strategy’s carry and roll-down should be evaluated consistently with that priced path. Excess return requires compensation for risk or a view differing from pricing, not merely observing a steep curve. Evaluate expected holding-period return using the future yield implied by the view.
Volatility matters for option-bearing bonds
For a callable bond, the investor is economically short the issuer’s call. Increased rate volatility generally raises option value and can hurt the callable bond relative to an otherwise comparable option-free instrument, holding other inputs fixed. Expected volatility strategies therefore require option valuation, convexity and scenario analysis, not duration alone.
Cross-currency curve trades require two funding maps
A relative curve trade in two currencies adds FX translation and hedge carry to local bond returns. Covered hedging costs can offset an apparently attractive local yield advantage; cross-currency basis and collateral currency can create residual risks. Compare returns in the investor’s base currency using consistent horizons and stress both curves and FX together.
Separate curve-view profit from hedge sizing
Independent hedge-sizing exercise: a 50 m bond portfolio has modified duration 6. The desired modified duration is 4, while portfolio market value is assumed unchanged for sizing. A selected futures contract has a stipulated positive price sensitivity of 75 currency units per 1 bp fall in its relevant yield. Treat this as the already-adjusted contract DV01; ignore conversion-factor and cheapest-to-deliver changes for the arithmetic.
Calculate the number and direction of contracts. Then explain why this single parallel-duration hedge does not necessarily neutralize the earlier 2-year/5-year/10-year key-rate scenario. A contract hedge and a curve bet should be evaluated against their respective risk objectives.
Model reasoning, sensitivity and self-check
Current DV01 = 50,000,000×6×0.0001 = 30,000. Target DV01 = 20,000. Reduce sensitivity by 10,000; sell 10,000/75 = 133.333 contracts. Selling 133 gives an approximate residual DV01 of 20,025 and duration 4.005; selling 134 gives 19,950 and duration 3.990. Choose rounding using the permitted hedge tolerance rather than pretend fractional exchange contracts can be traded.
A short rate-futures position generally gains when the corresponding bond price falls, offsetting some long-bond price loss in a yield rise. But a node-specific curve twist, changing futures basis or a delivery-option effect can leave substantial residual risk. Maintain accessible liquidity for adverse variation margin even if the combined economic hedge is expected to work.
Self-check: currency per basis point, not notional alone, drives this calculation. A lower target duration requires a short position under the stipulated positive DV01. Do not add this hedge’s P&L to the earlier curve scenario without specifying its own node exposures and yield move.
Formula and assumptions
ΔP/P≈−ΣKRD_iΔy_i; cash change=value×percentage change
Compare with the model response after drafting
- ΔP/P≈−(1 ×.002+3 ×.001+2 ×−.0015)=−.002=−0.2%; cash price loss≈100,000.
- A duration-only parallel-shift shortcut would miss the long-end rally. Select node hedges consistent with the view and retain collateral for adverse scenarios.
Errors to catch
- Treating forward rates as guaranteed forecasts.
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