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CFA Level III · Portfolio Management Pathway

Liability-Driven and Index-Based Strategies for CFA Level III

Liability-driven investing builds a bond portfolio around the cash outflows a client must meet, using tools like duration matching, cash flow matching and derivatives. Index-based and active strategies manage bonds against a benchmark. You solve questions by naming the liability, then choosing the technique that fits the client's constraints.

What this chapter covers

This chapter covers how you manage fixed-income portfolios when the goal is either to fund known liabilities or to track or beat a bond benchmark. It starts with liability-driven investing (LDI): how to measure liabilities, why a surplus matters, and how asset and liability sensitivities differ. It then moves to the main tools: immunization, cash flow matching, contingent immunization, and the use of derivatives and leverage to hedge.

The second half turns to benchmark-based management. You study how fixed-income indexes are built and why they differ from equity indexes, then the methods for replicating them (full replication, enhanced indexing, stratified sampling and others). The chapter ends with active strategies, including yield curve positioning, where you express views through duration, convexity and curve shape.

This chapter connects to the rest of the paper through the client's objectives and constraints. Liability-driven work links to institutional portfolios such as pension plans and insurers, and to asset allocation. Index and active choices link to portfolio construction, risk budgeting and performance measurement. Derivatives ideas also overlap with the risk management material. Expect the content in both item sets and essay sets.

Fixed-income management appears in the common core (for example Asset Allocation and Portfolio Construction) and in the Portfolio Management pathway. The chapter suits both formats: item sets test calculations such as duration matching and contribution to portfolio duration, while essay sets ask you to recommend and justify an approach for a named client. Because there is no penalty for wrong answers and each essay command word needs a precise reply, practising this chapter builds both your numerical accuracy and your ability to write short, justified recommendations that earn points.

Liability-Driven and Index-Based Strategies: topics in the order to study them

  1. 1Liability-Driven Investing BasicsIt defines liabilities, surplus and the risks you are managing, so every later technique has a purpose.
  2. 2Immunization and Duration MatchingIt is the core LDI method and the most calculation-heavy, so learn it while the basics are fresh.
  3. 3Cash Flow Matching and Contingent ImmunizationYou compare these with immunization, so they come after you know its conditions and limits.
  4. 4Liability Hedging with Derivatives and LeverageIt extends LDI to cases where bonds alone cannot hedge, and builds on duration and key rate ideas.
  5. 5Fixed-Income Indexes and Index ConstructionYou need to know how benchmarks behave before you decide how to track or beat them.
  6. 6Bond Indexing MethodsIt applies index features to replication choices and explains the trade-offs of each method.
  7. 7Active Fixed-Income Strategies and Yield Curve PositioningIt comes last because active views are measured against a benchmark and use all earlier duration tools.

How to prepare Liability-Driven and Index-Based Strategies

Prepare this chapter by linking each technique to a client type and a constraint, then practise both the numbers and the written justification.

  1. Read the topics in the study order and write one line for each: what it is, when it fits and what its main weakness is.
  2. Practise the calculations until they are routine: duration matching, portfolio duration and its contribution by holding, and the change in surplus when rates move.
  3. Build a comparison table by hand for immunization, cash flow matching and contingent immunization covering cost, risk, flexibility and the conditions each needs.
  4. Learn the index and replication methods as trade-offs between tracking error, cost and liquidity, and be able to state why a method suits a given index.
  5. Work through yield curve strategies by stating the view first (level, slope, curvature), then the positioning that expresses it.
  6. Answer past-style essay sets under time limits. Obey the command word, give only the number of responses asked for, and show every calculation step.
  7. In the final week, redo errors and rehearse short client-based justifications: the client's objective, the constraint, then the chosen strategy.

Common mistakes in Liability-Driven and Index-Based Strategies

  • Recommending a technique without linking it to the client's liabilities and constraints.

    Fix: Open each answer with the client's objective or constraint, then name the strategy and give the reason in one sentence.

  • Treating immunization as risk-free.

    Fix: Always state the conditions and residual risks, such as non-parallel shifts, rebalancing needs and credit or default risk.

  • Mixing up cash flow matching and duration matching.

    Fix: Remember that cash flow matching funds each payment date, while duration matching aligns rate sensitivity; compare cost, flexibility and risk.

  • Ignoring the surplus and looking only at asset returns.

    Fix: In LDI questions, measure the effect of rate moves on both assets and liabilities before judging a result.

  • Choosing a replication method without considering index features and liquidity.

    Fix: Tie the method to the index size, liquidity and turnover, and state the tracking error versus cost trade-off.

  • Losing marks on essays by giving extra answers or skipping working.

    Fix: Give exactly the number of responses asked for, in the order given, and show calculation steps.

Last-day revision: Liability-Driven and Index-Based Strategies

  • LDI starts with the liability: its size, timing and sensitivity to rates.
  • Surplus = asset value − liability value; the aim is to manage changes in surplus.
  • Classical immunization requires three conditions: asset present value ≥ liability present value; asset Macaulay duration = liability Macaulay duration (the investment horizon for a single liability); and asset BPV (money duration) = liability BPV. Together these aim to lock in the return needed to meet the liability.
  • Matching duration alone does not remove risk from non-parallel yield curve shifts. Asset convexity should be equal to or slightly greater than liability convexity, with low cash flow dispersion (a bullet-like portfolio), to limit this risk.
  • Cash flow matching largely removes interest rate and reinvestment risk if asset cash flows match each liability date, but credit risk remains. It can also cost more and limits flexibility.
  • Contingent immunization allows active management until the safety net is reached, then switches to immunization.
  • Derivatives let you adjust duration or hedge liabilities without selling bonds, but add basis, counterparty and collateral issues.
  • Leverage can extend asset duration to match long liabilities but increases risk in a rate or spread shock.
  • Bond indexes hold many illiquid securities and change with issuance and maturity, so full replication is often impractical.
  • Stratified sampling and enhanced indexing trade some tracking risk for lower cost.
  • In active strategies, state the rate or curve view first, then the duration, convexity or curve positioning that expresses it.
  • In essays, follow the command word, answer only what is asked, and show your working.

Liability-Driven and Index-Based Strategies in other exams

The same ground in other exams, if you are preparing for more than one or want another angle on it.

Liability-Driven and Index-Based Strategies: frequently asked questions

What is the difference between immunization and cash flow matching?

Immunization matches the portfolio's duration to the liability so that rate changes affect assets and liabilities similarly. Cash flow matching buys bonds whose payments cover each liability on its date. Cash flow matching largely removes interest rate and reinvestment risk when each payment is funded, but it is usually costlier and less flexible, and credit risk remains.

Do I need to memorise formulas for this chapter?

Yes, for the core calculations such as portfolio duration, duration matching and the effect of rate changes on value. Know them well enough to apply under time pressure and to show the steps in essays.

How do item sets and essays test this chapter differently?

Item sets are vignettes with four multiple-choice questions, so expect calculations and concept checks. Essays ask for justified recommendations and calculations in response to command words, where precise wording and working earn the points.

Why does the chapter cover both liability-driven and index-based strategies?

Both are ways of managing a fixed-income portfolio against a reference point. One uses the client's liabilities, the other uses a bond index. The choice depends on the client's objectives and constraints.