Introduction
Liability-driven investing, or LDI, is an investment framework that constructs portfolios to meet specified future obligations by matching asset cash flows and interest rate sensitivity to those liabilities. It is widely used by pension plans, insurance companies, and advanced individual investors who have predictable future payouts.
LDI matters because it changes the objective from maximizing returns to ensuring promises are funded. That alters asset selection, risk management, and performance measurement. How do you translate a stream of future payments into a portfolio of bonds, derivatives, and hedges that reliably cover them? And what trade-offs will you face when interest rates move or credit spreads widen?
In this article you will get a practical, technical guide to LDI. We cover duration matching, immunization, cash flow matching, the instruments and metrics practitioners use, real-world examples with numbers, common implementation pitfalls, and monitoring approaches that keep a matched portfolio robust over time.
Key Takeaways
- LDI aligns asset cash flows and interest-rate sensitivity to liabilities so funding status becomes less sensitive to market moves.
- Duration matching equalizes portfolio and liability sensitivity to parallel yield shifts, while immunization protects present value against small rate changes.
- Cash flow matching is the tightest hedge but can be capital intensive; a blended approach using bonds and derivatives is common.
- Key metrics are duration, convexity, PV01 or DV01, and funded status; monitoring and rebalancing are essential as yields and liability profiles evolve.
- Derivatives like interest-rate swaps and futures let you control interest-rate exposure efficiently, but they introduce counterparty and basis risks.
- Practical LDI requires clear liability modeling, liquidity planning, and governance that aligns incentives with funding objectives.
What is LDI and why it matters
Liability-driven investing treats liabilities as first-class inputs to portfolio construction. Instead of asking what mix of assets will maximize return for a given risk, you ask what mix will ensure that liabilities are funded under a range of interest-rate and credit scenarios. Pension funds traditionally adopted LDI to stabilize funded ratios and reduce the volatility of employer contributions.
From the investor perspective, LDI is goal-based at scale. If you have known future payouts, for example scheduled pension payments or a mortgage payoff, matching reduces the chance that market moves force you to sell growth assets at undesirable prices. You should expect your performance metric to include liability-relative outcomes such as tracking the funded status rather than absolute returns.
Core techniques: duration matching, immunization, and cash flow matching
LDI primarily relies on three complementary techniques. Each has a different balance of precision, capital efficiency, and operational complexity. You'll often combine methods to control costs while achieving a high degree of protection.
Duration matching
Duration matching sets the portfolio's dollar-duration equal to the liability dollar-duration so that a small parallel shift in the yield curve produces an equal change in asset and liability present values. Duration, measured in years, is the weighted average time to cash flow, discounted by yield. Dollar-duration or DV01 (price change per 1 basis point move) makes the match operational.
For example, if a pension's liabilities have a PV01 of $10,000 per basis point, the asset portfolio should be constructed so its PV01 is also $10,000. Duration matching is capital efficient compared with strict cash flow matching because it focuses on sensitivity rather than exact timing, but it is vulnerable to non-parallel yield moves and convexity differences.
Immunization
Immunization is a formal strategy that matches duration and present value at the outset so small parallel changes in yields leave the surplus (assets minus liabilities) unchanged. It requires periodic rebalancing because duration and PV change as time passes and yields move. Immunization works best when liabilities are well specified and interest-rate movements are moderate.
Mathematically, immunization typically targets equal PV and equal Macaulay or modified duration, sometimes with a convexity constraint. If convexity differs significantly, you may hedge convexity with options or adjust bond selection to reduce mismatch.
Cash flow matching
Cash flow matching builds a portfolio of bonds whose coupon and principal payments align with the timing and amount of liabilities. It eliminates many interest-rate and reinvestment risks if executed perfectly. But it requires high-quality, long-duration bonds and can be expensive if the liability stream is granular or long dated.
Because strict cash flow matching ties up capital in predictable bonds, many plans use a layered approach: match near-term liabilities with cash flow matching and hedge longer-term interest-rate exposure via duration-matched instruments.
Implementation mechanics: instruments, metrics, and governance
Implementing LDI requires both financial instruments and robust measurement. You need bonds and derivatives, models to calculate durations and PV01, and governance to define rebalancing triggers and counterparty limits. The right balance depends on liability horizon, regulatory constraints, and liquidity needs.
Instruments
Core instruments include nominal government and corporate bonds, inflation-linked bonds, interest-rate swaps, swaptions, Treasury futures, and repurchase agreements for financing. For example, an allocator might use $TLT to express long Treasury exposure or $LQD for corporate credit allocation, while using interest-rate swaps to achieve target duration without buying long bonds outright.
Derivatives are particularly useful when long-duration bonds are scarce or expensive. A receive-fixed interest-rate swap increases portfolio duration efficiently, but introduces counterparty credit risk and basis risk between swap rates and the liabilities' discount curve.
Key metrics and monitoring
Track these metrics daily to weekly depending on portfolio size and volatility: funded status, PV of liabilities, PV of assets, dollar-duration (PV01), convexity, and liquidity buffers. Stress-tests should include rate shocks, spread widening, and cash flow shocks such as unexpected benefit payments.
Governance should specify rebalancing triggers. A common rule is to rebalance when funded status moves by more than a predefined band, or when PV01 mismatch exceeds a threshold. Rebalancing can be achieved via trading bonds, adjusting swap notional, or using futures for fast correction.
Real-world examples
Below are two scenarios showing how LDI works with numbers. These simplify reality but make the mechanics concrete so you can adapt them to your own models.
Example 1: A corporate pension with 10-year horizon
Assume liabilities equal $500 million in present value, with a weighted duration of 10 years and PV01 of $50,000 per basis point. The sponsor holds $300 million of equities and $200 million of fixed income, with asset duration 5 years and PV01 $25,000.
- Objective: reduce PV01 mismatch of $25,000 so asset PV01 equals liability PV01.
- Implementation: buy long-duration bonds or enter receive-fixed swaps to add $25,000 of PV01. If a 10-year Treasury has a DV01 of about $100 per $100,000 notional, you'd scale the trade accordingly. Using swaps is often simpler because notional can be sized precisely without sourcing long bonds.
- Result: after the trade, asset PV01 equals $50,000. Small parallel rate moves will shift asset and liability PVs similarly, stabilizing funded status.
This example shows duration matching raising complexity modestly while leaving equity exposure for long-term growth. The sponsor must still monitor convexity and credit spread risk.
Example 2: Individual planning for a 20-year annuity
You expect to pay a $100,000 annuity each year starting in year 11 for 20 years, discounted at your liability discount curve to a PV of $900,000 with duration about 13 years. You have $900,000 invested across bonds and equities.
Cash flow matching the first five payments could be done with high-quality coupon bonds maturing in years 11 to 15, while the remaining long tail is hedged using long-duration Treasury ETFs like $TLT or receive-fixed swaps. This hybrid reduces reinvestment risk for near-term payments and uses duration hedging for the long tail where exact matching would be costly.
Risk management and monitoring
LDI reduces funding volatility but introduces or concentrates other risks. You need a risk framework that covers interest-rate basis risk, convexity mismatch, credit and default risk, liquidity risk, and operational risks related to valuation and counterparty exposure.
Stress test at multiple horizons and include scenarios such as a 200 basis point parallel rate shock, a 100 basis point steepening, and a credit-spread widening across corporates. Monitor hedge effectiveness using realized changes in funded status versus modeled changes. If hedges drift due to coupon accruals or liability changes, you should have rules for timely rebalancing.
Common Mistakes to Avoid
- Equating duration equality with perfect hedge, without checking convexity. Duration matching protects against small parallel moves but not against large moves or curve twists. How to avoid: measure convexity and consider convexity hedges or staggered cash flow matching.
- Ignoring liquidity needs. Locking into long cash flow matches can leave you short if unexpected cash is needed. How to avoid: keep a liquidity buffer and specify cash flow contingencies.
- Overusing derivatives without managing counterparty risk. Swaps add efficiency but introduce counterparty exposure. How to avoid: use cleared derivatives where possible and set counterparty limits.
- Failing to update liability models. Demographic shifts, benefit changes, or policy adjustments change the liability profile. How to avoid: schedule regular actuarial updates and automate recalculation of durations and PV01.
- Treating LDI as a one-time setup. Markets and liabilities evolve, so rebalancing is essential. How to avoid: implement governance with clear monitoring and rebalance triggers.
FAQ
Q: How often should I rebalance an LDI portfolio?
A: Rebalancing frequency depends on liability volatility and portfolio size. Many plans run daily PV metrics with weekly or monthly governance reviews, and execute rebalancing when funded status or PV01 mismatch breaches predefined bands. Significant liability events or large market moves warrant immediate action.
Q: Can individuals adopt LDI, or is it only for pensions?
A: Individuals can adopt LDI for predictable obligations such as annuities, long-term debt service, or future tuition. The principles are the same, but individuals must consider transaction costs, minimum investment sizes, and accessibility of instruments like swaps.
Q: What role do inflation-linked bonds play in LDI?
A: Inflation-linked bonds, such as TIPS, hedge liabilities indexed to inflation by matching cash flow growth. If your liabilities are CPI-linked, allocating to inflation-linked securities reduces mismatch risk. You still need to manage duration and liquidity around these instruments.
Q: How do you handle non-parallel yield curve moves in LDI?
A: Non-parallel moves, such as steepening or flattening, create residual risk after duration matching. Address them by modeling key-rate durations, using laddered cash flows to reduce sensitivity to specific segments, or employing targeted derivatives like swaptions or Treasury futures to adjust exposure at particular maturities.
Bottom Line
Liability-driven investing reframes portfolio construction around known future payouts. By focusing on duration matching, immunization, and selective cash flow matching, you can stabilize funded status and reduce the chance that market moves force adverse decisions.
If you manage or design LDI strategies, practical next steps are clear: formalize liability models, calculate PV01 and convexity, choose the mix of bonds and derivatives that fits cost and liquidity constraints, and implement governance with explicit rebalancing triggers. At the end of the day, disciplined monitoring and stress testing are what keep an LDI program effective over decades.



