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CFA Level III · Portfolio Management Pathway

Yield Curve Strategies for CFA Level III

Yield curve strategies are ways to position a bond portfolio for a view on the level, slope and curvature of the yield curve. You solve them by finding the curve change, estimating each return component (carry, roll-down, price change from yield moves), then choosing a structure such as a bullet, barbell or butterfly.

What this chapter covers

This chapter is about how a fixed-income portfolio earns return from the shape of the yield curve and how a manager positions for a view on it. It starts with how curves move (level, slope and curvature) and how duration measures such as effective duration, key rate duration and money duration capture that exposure. It then moves from static strategies, where the curve is assumed unchanged, to active strategies where you take a view.

The tools are practical. You decompose expected return into coupon income, roll-down and price change from yield shifts. You compare bullet, barbell and butterfly structures. You run scenario analysis across several curve paths. You also read term structure models and use derivatives such as futures and swaps to adjust exposure.

It connects to the rest of the paper. Fixed-income positioning sits inside portfolio construction, where the client's objectives, liability profile and constraints decide how much curve risk is acceptable. Derivatives and risk management tools reappear here as implementation. Expect item sets that test calculations and essay sets that ask you to recommend a position and justify it.

Fixed income and curve positioning give you calculation-heavy questions where careful steps earn full points, and judgment questions where a short, well-justified recommendation earns the rest. The same ideas (duration exposure, convexity, scenario thinking, derivative overlays) are reused in portfolio construction and risk management questions, so time spent here pays back across several topics. In an essay, a correct number typed on its own earns full credit for a calculation, so accuracy on return decomposition and duration arithmetic is directly rewarded. Because there is no penalty for wrong answers, you should attempt every question.

Yield Curve Strategies: topics in the order to study them

  1. 1Yield Curve Dynamics and Duration MeasuresEverything else depends on describing curve moves as level, slope and curvature and measuring exposure with duration and key rate duration.
  2. 2Static Yield Curve Strategies: Buy-and-Hold and Roll-DownThese are the simplest return calculations, with no change in the curve, and they build the return decomposition you will reuse.
  3. 3Active Strategies: Bullets, Barbells and ButterfliesOnce you can measure exposure, you can see how different maturity structures respond to level, slope and curvature changes.
  4. 4Yield Curve Scenario Analysis and Return DecompositionThis combines carry, roll-down and yield-change effects across several scenarios, so it needs the earlier topics first.
  5. 5Term Structure Models and Yield Curve ViewsModels explain where views on the curve come from, and they make more sense once you have seen how the curve is used in strategies.
  6. 6Derivatives-Based Yield Curve PositioningFutures and swaps are the implementation layer, so you study them last, when you know which exposure you want to create.

How to prepare Yield Curve Strategies

Treat this chapter as a mix of calculation drills and recommendation writing. Build the numbers first, then practise explaining the choice in a few words tied to the client.

  1. Define level, slope and curvature in your own words, and note which duration measure fits each type of curve move.
  2. Practise return decomposition on paper: coupon income, roll-down, price change from the yield move, and any other items. Write every step so a slip still shows your method.
  3. Compare bullet, barbell and butterfly structures for the same duration. Note how each behaves under a parallel shift, a steepening, a flattening and a change in curvature, and where convexity differs.
  4. Run a scenario table with at least three curve paths and compute the expected return for each position. Then state which position you would choose and why.
  5. Read the model topic for the idea each model captures and what view it supports. Do not memorise formulas you cannot apply.
  6. For derivatives, practise turning a target duration or key rate exposure into a position size, then check the sign and direction of the hedge.
  7. Finish with timed item sets and essays. For recommendations, name the position, give the reason from the client's objectives and constraints, and stop.

Common mistakes in Yield Curve Strategies

  • Treating every curve move as a parallel shift.

    Fix: Identify the type of move first (level, slope, curvature), then pick the duration measure and structure that match it.

  • Assuming roll-down return always exists.

    Fix: Check the curve shape and the bond's maturity. Roll-down depends on the yield changing as the bond ages, and it can be zero or negative.

  • Leaving out parts of return decomposition.

    Fix: List every return component before calculating and tick each off. Show each step so partial credit is possible.

  • Comparing bullets and barbells without matching duration.

    Fix: Set equal duration, then discuss convexity, yield and slope or curvature exposure.

  • Getting the direction of a derivative position wrong.

    Fix: Before answering, state whether you need more or less duration, then choose the position that does that and check the sign.

  • Writing a recommendation that ignores the client.

    Fix: Open the justification with the client factor that drives the choice, such as risk tolerance or liability profile, then link it to the position.

Last-day revision: Yield Curve Strategies

  • A curve move is described by level, slope and curvature changes.
  • Effective duration measures exposure to a parallel shift; key rate duration measures exposure at specific maturities.
  • Money duration is the duration times the position value, so use it to size positions and hedges.
  • Buy-and-hold return comes from coupons, reinvestment and the price at the end of the horizon.
  • Roll-down return exists when the curve is upward sloping and the bond is priced at a lower yield as maturity shortens, assuming an unchanged curve.
  • Expected return = carry + roll-down + price effect of the expected yield change, adjusted for any other items given.
  • A barbell has more convexity than a bullet of the same duration, but yields differ and the benefit depends on the curve change.
  • For equal duration, a bullet tends to outperform a barbell when the curve flattens (long-end yields fall by less than short-end yields, or short-end yields rise), and a barbell tends to outperform a bullet when the curve steepens. The result depends on the actual key rate changes, so check them rather than relying on the label.
  • Match duration first, then compare structures on curvature and slope exposure.
  • Run several scenarios and compare expected returns; do not rely on one forecast.
  • Futures and swaps adjust duration or key rate exposure without selling bonds.
  • In essays, tie the recommendation to the client's objectives and constraints in the fewest words that answer the command word.

Yield Curve Strategies in other exams

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

Yield Curve Strategies: frequently asked questions

Is Yield Curve Strategies only for the Portfolio Management pathway?

Candidates choose one pathway at registration, and the pathway cannot be changed afterwards. This chapter belongs to the Portfolio Management pathway content, so check your pathway's curriculum to confirm it is part of your exam. The charter is the same whichever pathway you take.

Will this chapter appear as item sets or essays?

Pathway questions are a mix of item sets and essays. Be ready for both: multiple-choice calculations and concepts in item sets, and calculations plus short justifications in essays.

How should I answer a calculation in an essay?

Type the number asked for, in the order and quantity requested, because a correct number on its own earns full credit for a calculation. Still work the steps on paper so you can catch errors before you enter the answer.

Do I need to memorise term structure model formulas?

Focus first on what each model assumes and what view it supports, then practise any calculations the curriculum shows. Understanding the idea lets you answer both numerical and conceptual questions.

Should I guess if I am unsure?

Yes. There is no penalty for wrong answers, so answer every item. Remove options that conflict with the curve move or the duration direction first, then choose from what is left.