Overview
Fixed Income is 10-15% of the CFA Level 2 exam, one of the heaviest topics, deepening Level 1's bond basics into advanced valuation and analysis. It has four areas. The term structure and interest rate dynamics cover spot, forward and par rates, bootstrapping the spot curve, the theories of the term structure, and interest rate models. Valuing bonds with embedded options covers using a binomial interest rate tree to value callable and putable bonds, the option-adjusted spread (OAS), and effective duration and convexity for bonds whose cash flows change with rates. Credit analysis and strategies cover credit risk measurement (credit spreads, structural and reduced-form models) and managing credit exposure. Structured and securitized products cover mortgage-backed and asset-backed securities and their risks in depth.
The exam rewards bootstrapping and using spot and forward rates, valuing bonds with embedded options using a tree and OAS, applying effective duration, and analyzing credit and structured products. The calculations are demanding and tested in vignettes.
How it's tested
CFA Level 2 Fixed Income questions give rates, a bond's features or credit data in a vignette and ask you to compute a value, a spread, or a risk measure. CFA Level 2 questions sit in vignettes: a case gives facts, numbers and exhibits, and each question requires pulling the right input and applying the right model, so read the case, identify the model, and compute carefully.
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Term structure
Spot, forward or par rates are given, and you bootstrap, compute a forward rate, or apply a term-structure concept.
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Value with options
A callable or putable bond is described, and you value it with a tree, apply OAS, or compute effective duration.
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Credit and structured
A credit or securitization situation is described, and you measure the risk or analyze the structure.
Rates become more volatile, and the exam asks how this affects a callable bond versus an option-free bond. The embedded call benefits the issuer, and option value rises with volatility, so higher volatility raises the call's value, which is subtracted from the option-free value, lowering the callable bond's price. Recognizing that higher volatility reduces a callable bond's price is the dynamic the exam expects.
Topic areas 4
Official topic areas from the CFA Institute outline, in outline order.
7.1 The term structure and interest rate dynamicsSpot, forward and par rates, bootstrapping, and models.
- What it means
- This covers the term structure of interest rates: spot rates (for single future cash flows), forward rates (implied future rates), par rates, deriving the spot curve by bootstrapping from coupon-bond yields, the relationships among these rates, the theories of the term structure (expectations, liquidity preference, segmented markets), and an introduction to interest rate models.
- What to understand
- Spot rates discount individual cash flows, and forward rates are the future rates implied by current spot rates. Bootstrapping derives the spot curve iteratively from observed par-bond yields. The term-structure theories explain the curve's shape. These rates and relationships underlie all fixed-income valuation. Knowing how to compute and use spot and forward rates and bootstrap the curve is heavily tested.
- How it shows up
- Rates are given, and you must bootstrap, compute a forward rate, or apply a term-structure concept.
- Common confusion
- Confusing spot, forward and par rates, or misapplying bootstrapping.
7.2 Valuing bonds with embedded optionsBinomial trees, OAS, and effective duration.
- What it means
- This covers valuing bonds whose cash flows depend on interest rates: using a binomial interest rate tree to value callable and putable bonds (the value equals the option-free value minus the call or plus the put option value), the option-adjusted spread (OAS, the spread over the benchmark after removing the option's effect), and effective duration and effective convexity for bonds with uncertain cash flows.
- What to understand
- A callable bond is worth less than an option-free bond (the issuer's call hurts the holder), and the call's value rises with volatility; a putable bond is worth more. A binomial tree values these by modeling rate paths. OAS removes the option effect to compare spreads fairly, and effective duration measures price sensitivity for bonds whose cash flows change with rates (unlike modified duration). Knowing these valuation and risk tools is heavily tested.
- How it shows up
- A callable or putable bond is described, and you must value it, interpret OAS, or compute effective duration.
- Common confusion
- Confusing the effect of a call (lowers value) with a put (raises value), or confusing effective with modified duration.
7.3 Credit analysis and credit strategiesMeasuring and managing credit risk.
- What it means
- This covers credit risk in depth: credit spreads and their drivers, structural models (based on the firm's assets and a option-like view of default) and reduced-form models (statistical default intensity), credit ratings and the term structure of credit spreads, and strategies for managing credit exposure.
- What to understand
- Credit risk is the risk of default, priced in the credit spread over a benchmark. Structural models view equity as an option on the firm's assets and default as occurring when assets fall below liabilities; reduced-form models estimate default probability statistically. Spreads vary with the credit cycle and maturity. Knowing how to measure and manage credit risk is tested.
- How it shows up
- A credit situation is described, and you must measure the risk or apply a credit model or strategy.
- Common confusion
- Confusing structural with reduced-form credit models, or misinterpreting credit spreads.
7.4 Structured and securitized productsMortgage- and asset-backed securities in depth.
- What it means
- This covers securitized products in depth: mortgage-backed securities (MBS), including the risks of prepayment (contraction and extension risk) and the structures of collateralized mortgage obligations (CMOs), asset-backed securities (ABS), and how pooling and tranching distribute cash flows and risk.
- What to understand
- Securitization pools loans and issues tranches with different risk and priority. MBS carry prepayment risk: when rates fall, borrowers prepay (contraction risk), and when rates rise, prepayments slow (extension risk), which complicates valuation. CMOs redistribute this risk across tranches. Knowing the structures and their distinctive risks is tested.
- How it shows up
- A securitization situation is described, and you must identify the structure or its risk.
- Common confusion
- Confusing contraction with extension risk, or misunderstanding tranching and prepayment.
High-yield concepts
The terms, rules and formulas this domain turns into questions most often.
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Spot vs. forward rates
Rates for single cash flows versus implied future rates.
- Remember
- Forwards from spots.
- Tested as
- Term-structure questions.
- Trap
- Confusing the two.
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Bootstrapping
Derive the spot curve from par yields.
- Remember
- Iterative process.
- Tested as
- Term-structure questions.
- Trap
- Misapplying it.
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Term-structure theories
Expectations, liquidity, segmented.
- Remember
- Explain the curve's shape.
- Tested as
- Term-structure questions.
- Trap
- Confusing the theories.
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Callable bond value
Option-free value minus call value.
- Remember
- Worth less than option-free.
- Tested as
- Option questions.
- Trap
- Confusing with putable.
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Putable bond value
Option-free value plus put value.
- Remember
- Worth more than option-free.
- Tested as
- Option questions.
- Trap
- Confusing with callable.
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Binomial tree
Models rate paths to value bonds.
- Remember
- For embedded options.
- Tested as
- Option questions.
- Trap
- Misbuilding the tree.
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Option-adjusted spread
Spread after removing the option.
- Remember
- Compare bonds fairly.
- Tested as
- Option questions.
- Trap
- Misinterpreting OAS.
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Effective duration
Sensitivity for uncertain cash flows.
- Remember
- For option-embedded bonds.
- Tested as
- Risk questions.
- Trap
- Confusing with modified duration.
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Structural vs. reduced-form
Asset-based versus statistical default.
- Remember
- Different credit models.
- Tested as
- Credit questions.
- Trap
- Confusing the models.
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Prepayment risk
Contraction and extension risk.
- Remember
- Key MBS risk.
- Tested as
- Structured questions.
- Trap
- Confusing the two.
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Tranching
Distributes cash flows and risk.
- Remember
- Creates CMOs and ABS.
- Tested as
- Structured questions.
- Trap
- Misunderstanding priority.
Side by side
Concepts candidates mix up, compared on the point that decides the answer.
Callable vs. putable bond value
| Concept | Meaning | Key difference | Common trap |
|---|---|---|---|
| Callable | Option-free minus call value | Worth less; call hurts holder | Confusing with putable |
| Putable | Option-free plus put value | Worth more; put helps holder | Confusing with callable |
Effective vs. modified duration
| Concept | Meaning | Key difference | Common trap |
|---|---|---|---|
| Effective duration | For uncertain (option) cash flows | Uses a rate model | Confusing with modified |
| Modified duration | For fixed cash flows | Assumes cash flows unchanged | Using it for option bonds |
Contraction vs. extension risk
| Concept | Meaning | Key difference | Common trap |
|---|---|---|---|
| Contraction risk | Rates fall, faster prepayment | Shortens life | Confusing with extension |
| Extension risk | Rates rise, slower prepayment | Lengthens life | Confusing with contraction |
Exam traps
Each trap is an answer that looks right. Learn the clue that should change your mind.
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Volatility helps the callable holder
- What candidates pick
- Expect higher interest rate volatility to raise a callable bond's value.
- Why it looks right
- Volatility sounds neutral.
- Why it's wrong
- Higher volatility raises the embedded call's value, which is subtracted from the option-free value, lowering the callable bond's price.
Clue to watch for Volatility rises and the bond is callable.
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Modified duration for a callable bond
- What candidates pick
- Use modified duration to measure a callable bond's interest-rate sensitivity.
- Why it looks right
- Duration measures sensitivity.
- Why it's wrong
- Effective duration is required for bonds with embedded options because their cash flows change with rates; modified duration assumes fixed cash flows.
Clue to watch for The bond has an embedded option.
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Forward equals spot
- What candidates pick
- Treat the forward rate as equal to the current spot rate.
- Why it looks right
- Both are rates.
- Why it's wrong
- Forward rates are the future rates implied by the current spot curve and generally differ from current spot rates.
Clue to watch for The question asks for an implied future rate.
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Extension risk when rates fall
- What candidates pick
- Say extension risk arises when interest rates fall.
- Why it looks right
- Rate moves affect MBS.
- Why it's wrong
- When rates fall, borrowers prepay faster, giving contraction risk; extension risk arises when rates rise and prepayments slow.
Clue to watch for Rates fall and prepayments speed up versus slow.
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Structural model is statistical
- What candidates pick
- Describe a structural credit model as estimating default probability statistically.
- Why it looks right
- Both model default.
- Why it's wrong
- Structural models view default through the firm's assets and liabilities (an option-like view); reduced-form models estimate default intensity statistically.
Clue to watch for The model is based on the firm's asset value versus statistical estimation.
Answer framework
For any Fixed Income item set, use these steps to find the answer the exam expects.
- For the term structure, distinguish spot, forward and par rates, bootstrap the spot curve from par yields, and apply the term-structure theories.
- For bonds with embedded options, value them with a binomial tree (callable = option-free minus call; putable = option-free plus put), remembering higher volatility raises option value.
- Use OAS to compare option-embedded bonds and effective duration for their interest-rate sensitivity.
- For credit, measure risk through spreads and apply structural or reduced-form models and credit strategies.
- For structured products, identify the structure (MBS, CMO, ABS) and its prepayment risk (contraction when rates fall, extension when rates rise), pulling the right figures from exhibits. Where two tools seem to fit, choose the one that matches the rate structure, option feature or credit model the vignette specifies.
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Study strategy
Give this heavy, quantitatively demanding topic strong priority, since it is top-weighted and among the hardest at Level 2. Start with the term structure: master spot, forward and par rates, bootstrapping the spot curve, and the term-structure theories, since these underlie all the valuation.
Then tackle the signature Level 2 material: valuing callable and putable bonds with a binomial interest rate tree (callable worth less, putable worth more, and option value rising with volatility), the option-adjusted spread, and effective duration (for option-embedded bonds, unlike modified duration). Learn credit analysis (spreads, structural versus reduced-form models) and structured products with their prepayment risks (contraction versus extension).
Because the calculations are intensive and tested in vignettes, drill item sets involving trees, OAS and the term structure, practicing input selection from exhibits. Because Level 2 is tested through vignettes, practice full item sets under timed conditions (about 12 minutes per set), pulling the right figure from the right exhibit, and review misses by checking both input selection and calculation. Afterwards, move to Derivatives.
FAQ
How much of CFA Level 2 is Fixed Income?
Fixed Income is 10-15% of the exam, one of the heaviest topics, and its advanced valuation material (the term structure, embedded options, OAS) is among the most quantitatively challenging on the exam.
What is bootstrapping?
Bootstrapping is the process of deriving the spot (zero-coupon) rate curve from the yields of coupon-paying bonds. It works iteratively: the shortest bond gives the first spot rate, and each subsequent bond's cash flows are discounted using previously derived spot rates to solve for the next one.
How does an embedded call option affect a bond's value?
A callable bond is worth less than an otherwise identical option-free bond because the issuer's right to call it works against the holder. Its value equals the option-free value minus the value of the call option, and because option value rises with interest rate volatility, higher volatility lowers the callable bond's price.
What is the option-adjusted spread (OAS)?
The option-adjusted spread is the spread over a benchmark curve that a bond offers after removing the effect of any embedded option, using an interest rate model. It allows fair comparison of the credit and liquidity spread across bonds with different embedded options.
What is the difference between effective and modified duration?
Modified duration measures price sensitivity to yield changes assuming the cash flows are fixed, so it suits option-free bonds. Effective duration uses an interest rate model to capture how a bond's cash flows change with rates, which is required for bonds with embedded options.
What is the difference between contraction and extension risk?
Both are prepayment risks on mortgage-backed securities. Contraction risk arises when interest rates fall and borrowers prepay faster, shortening the security's life. Extension risk arises when rates rise and prepayments slow, lengthening its life. Both complicate MBS valuation.
How does Fixed Income connect to the rest of the Level 2 exam?
Its term structure and interest rate models underlie derivatives pricing, its credit analysis uses financial statement analysis, and interest rates link to the economics topic, while fixed income is a key asset class in portfolio management.
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