Hedging Fixed Income Portfolios with Swaps
Interest rate swaps are the primary tool for managing duration and curve exposure in fixed income portfolios. Swaps allow portfolio managers to adjust interest rate sensitivity without selling bonds, maintain credit exposure while hedging rates, and implement curve positioning strategies.
Definition and Key Concepts
Why Use Swaps for Hedging
| Objective | Swap Solution |
|---|---|
| Reduce duration | Pay fixed swap |
| Extend duration | Receive fixed swap |
| Flatten curve exposure | Pay short, receive long |
| Steepen curve exposure | Receive short, pay long |
| Hedge specific maturities | Key rate swaps |
Duration Hedging Basics
Portfolio DV01: The dollar change in portfolio value for a 1 basis point rate move.
Swap DV01: The dollar change in swap value for a 1 basis point rate move.
Hedge ratio: Swap Notional = (Portfolio DV01 / Swap DV01 per $1M) × $1,000,000
Key Rate Duration
Rather than hedging parallel shifts only, key rate duration measures sensitivity to specific maturity points:
| Key Rate Point | Description |
|---|---|
| 2-year | Short-term sensitivity |
| 5-year | Intermediate sensitivity |
| 10-year | Benchmark sensitivity |
| 30-year | Long-term sensitivity |
How It Works in Practice
Duration Matching
Process:
- Calculate portfolio DV01
- Determine target duration (or DV01)
- Calculate swap DV01
- Solve for required notional
Example:
- Portfolio: $500 million bonds
- Portfolio DV01: $450,000
- Target DV01: $250,000 (reduce duration)
- Required hedge: -$200,000 DV01
Swap DV01 Calculation
Approximate DV01 per $1 million notional:
| Swap Tenor | DV01 (per $1M) |
|---|---|
| 2-year | $190 |
| 5-year | $450 |
| 10-year | $850 |
| 30-year | $1,700 |
Hedge notional: If using 10-year swap: Notional = $200,000 / $850 × $1,000,000 = $235 million
Key Rate Hedging
For curve-specific hedging, use multiple swaps:
Portfolio key rate profile:
| Key Rate | Portfolio DV01 | Target DV01 | Hedge DV01 |
|---|---|---|---|
| 2-year | $100,000 | $50,000 | -$50,000 |
| 5-year | $150,000 | $100,000 | -$50,000 |
| 10-year | $200,000 | $100,000 | -$100,000 |
Swap solution:
- 2Y pay-fixed swap: $50,000 / $190 × $1M = $263M notional
- 5Y pay-fixed swap: $50,000 / $450 × $1M = $111M notional
- 10Y pay-fixed swap: $100,000 / $850 × $1M = $118M notional
Worked Example
Portfolio details:
- Asset: $200 million investment grade corporate bonds
- Modified duration: 6.5 years
- Portfolio DV01: $130,000
- Objective: Reduce duration to 4.0 years
Step 1: Calculate target DV01 Target DV01 = (4.0 / 6.5) × $130,000 = $80,000
Step 2: Calculate required hedge Hedge DV01 = $130,000 - $80,000 = $50,000
Step 3: Select swap tenor Use 7-year swap (closest to portfolio duration) 7Y swap DV01 ≈ $625 per $1 million
Step 4: Calculate notional Notional = $50,000 / $625 × $1,000,000 = $80 million
Trade: Enter $80 million 7-year pay-fixed interest rate swap
Hedge Effectiveness
Rates rise 50 bps:
| Component | P/L |
|---|---|
| Bond portfolio | -$6,500,000 |
| Swap (pay fixed gains) | +$2,500,000 |
| Net P/L | -$4,000,000 |
Verification: Post-hedge DV01 = $80,000 Expected P/L = -$80,000 × 50 = -$4,000,000 ✓
Ongoing Hedge Management
| Trigger | Action |
|---|---|
| Portfolio trades | Recalculate hedge ratio |
| Significant rate move | Rebalance hedge |
| Swap matures | Roll to new swap |
| Duration drift | Adjust swap notional |
Risks, Limitations, and Tradeoffs
Basis Risk
Swaps hedge rate risk, not credit spreads:
| Scenario | Bond Return | Swap Hedge | Net Result |
|---|---|---|---|
| Rates up, spreads unchanged | Loss | Gain | Hedged |
| Rates up, spreads widen | Larger loss | Gain | Underhedged |
| Rates down, spreads widen | Gain + Loss | Loss | Net uncertain |
Credit spread moves are unhedged.
Curve Risk
If bond portfolio has different curve exposure than hedge:
| Curve Move | Portfolio Impact | Hedge Impact | Net |
|---|---|---|---|
| Parallel shift | Duration-based | Duration-based | Hedged |
| Steepening | Mixed | Single point | Unhedged curve |
| Flattening | Mixed | Single point | Unhedged curve |
Use key rate hedges for curve exposure.
Roll Risk
Swaps mature and must be rolled:
| Factor | Risk |
|---|---|
| Rate changes | New swap at different rate |
| Basis changes | Different swap-bond basis |
| Market conditions | Wider bid-offer |
Common Pitfalls
| Pitfall | Description | Prevention |
|---|---|---|
| Wrong tenor | Swap duration mismatched | Align with portfolio duration |
| Static hedge | Not adjusted for trades | Dynamic hedge management |
| Ignoring convexity | Large rate moves non-linear | Include convexity in hedge |
| Spread confusion | Expecting spread hedge | Recognize swap hedges rates only |
Advanced Strategies
Liability-Driven Investing (LDI)
Pension funds match asset duration to liability duration:
Structure:
- Long bonds match liability cash flows
- Receive-fixed swaps extend duration without buying more bonds
- Leverage achieved through swap notional > assets
Example:
- Assets: $500 million
- Liabilities: $600 million, 15-year duration
- Liability DV01: $900,000
- Asset DV01: $300,000
- Swap DV01 needed: $600,000
Curve Trades with Swaps
Steepener:
- Receive fixed 2-year
- Pay fixed 10-year
- DV01 neutral (net zero parallel exposure)
- Profits if curve steepens
Flattener:
- Pay fixed 2-year
- Receive fixed 10-year
- Profits if curve flattens
Example calculation: 2Y-10Y DV01-neutral:
- 2Y DV01: $190 per $1M
- 10Y DV01: $850 per $1M
- Ratio: 10Y notional = 2Y notional × (190/850) = 0.224
If 2Y notional = $100 million, 10Y notional = $22.4 million
Synthetic Fixed-Rate Exposure
Convert floating exposure to fixed:
Situation:
- $100 million floating-rate notes (SOFR + 100 bps)
- Want fixed-rate exposure
Solution:
- Enter receive-fixed swap
- Receive: 4.50% fixed
- Pay: SOFR
- Net: 4.50% + 100 bps = 5.50% fixed
Checklist and Next Steps
Hedge design checklist:
- Calculate portfolio DV01 (total and key rates)
- Define target duration or DV01
- Select appropriate swap tenor(s)
- Calculate required notional
- Verify swap DV01 matches hedge need
- Consider curve exposure (key rate hedge if needed)
- Document hedge rationale
Hedge execution checklist:
- Confirm ISDA documentation in place
- Execute swap at market rates
- Verify confirmation details
- Book swap in portfolio systems
- Calculate initial hedge effectiveness
- Set up ongoing monitoring
Ongoing management checklist:
- Monitor DV01 match daily/weekly
- Rebalance when threshold breached
- Track hedge effectiveness for accounting
- Plan for swap maturity roll
- Document rebalancing decisions
Related articles:
- For regulatory reporting, see Dodd-Frank and EMIR Reporting Requirements
- For hedge documentation, see Setting Up Hedge Documentation
