Cfa fi complete revision handbook · MD
CFA LEVEL I FIXED INCOME — COMPLETE REVISION HANDBOOK
Readings 54–60 (Yield/Spread Measures for Floaters, Term Structure, Interest Rate
Risk & Return, Duration, Convexity, Curve-Based/Empirical Risk Measures, Credit
Risk)
This output is AI-generated exam-preparation content and must be reviewed and
approved before any business, regulatory, or formal educational use. It is not
investment, credit, or financial advice.
Curriculum mapping note: This handbook uses the current CFA Institute reading
numbering (R54 = Yield and Yield Spread Measures for Floating-Rate Instruments ... R60
= Credit Risk). If your provider labels these readings differently (older curriculum years
used different numbering), match by topic title rather than number.
TABLE OF CONTENTS
1. Reading 54 — Yield and Yield Spread Measures for Floating-Rate Instruments
2. Reading 55 — The Term Structure of Interest Rates (Spot, Par, Forward Curves)
3. Reading 56 — Interest Rate Risk and Return
4. Reading 57 — Yield-Based Bond Duration Measures and Properties
5. Reading 58 — Yield-Based Bond Convexity and Portfolio Properties
6. Reading 59 — Curve-Based and Empirical Fixed-Income Risk Measures
7. Reading 60 — Credit Risk
8. Master Formula Sheet
9. Master Comparison Table
10. Master Mind Map & Master Revision Chart
11. Top 100 Conceptual Questions (with Answers)
12. Top 50 Numerical Questions (with Full Solutions)
13. Last-Day Revision Notes
CFA LEVEL I — FIXED INCOME REVISION HANDBOOK
,READING 54: Yield and Yield Spread Measures for Floating-Rate Instruments
This output is AI-generated and must be reviewed and approved before business or
regulatory use. It is educational exam-prep content only — not investment, trading, or
credit advice.
1. Learning Objectives (LOS)
By the end of this reading you must be able to:
• LOS a: Calculate and interpret the coupon rate of a floating-rate note
(FRN/floater).
• LOS b: Explain the quoted margin, discount margin, and required margin of a
floater, and calculate the FRN price given the discount margin (and vice versa).
• LOS c: Calculate and interpret the yield spread measures used for fixed-rate
bonds (T-spread, Z-spread) as a bridge concept.
• LOS d: Explain how credit and liquidity risk are reflected in a floater's price and
margin.
(Exact LOS wording varies slightly by year/provider — this covers the tested substance
either way.)
2. Big Picture
Why this topic exists: Roughly a third of global bond issuance (bank debt, ABS/CLO
tranches, some sovereign paper) pays a rate that moves with the market instead of
staying fixed. If all we knew was "fixed-rate YTM," we'd have no way to price or compare
these instruments. Reading 54 gives you the toolkit for floating-rate paper.
Why CFA tests it: Because it's a favorite place to test whether you actually
understand why bond prices move — floaters behave completely differently from fixed-
rate bonds when rates change, and that contrast is gold for exam writers.
Where it fits: This reading is the "floating-rate cousin" of bond pricing/yield readings.
Everything you learned about a fixed coupon bond's price = PV of cash flows still applies
— the only change is the coupon itself resets periodically to a reference rate.
Connection to earlier readings: Builds directly on bond valuation (price = PV of CFs)
and yield-spread concepts (G-spread, Z-spread) from the fixed-rate readings. Feeds
forward into Interest Rate Risk & Duration (R56–58): floaters have very low duration
precisely because of the mechanics you learn here.
,3. Concept Map
Reference Rate (e.g., SOFR/CME Term SOFR)
↓
+ Quoted Margin = Coupon Rate (fixed at issuance/reset)
↓
Coupon Rate applied to Par → Cash Flow each period
↓
Discount Rate for valuation = Reference Rate + Discount Margin
↓
Price = PV of coupons + PV of par, discounted at (Ref Rate + DM)
↓
Required Margin = the DM that makes Price = Par
↓
Compare Quoted Margin vs Required Margin → is the floater cheap/rich?
4. Core Concepts
4.1 Coupon Rate of a Floater
Definition: Coupon Rate = Reference Rate + Quoted Margin (QM).
Intuition: The issuer says, "I'll always pay you the going market rate, plus a little extra to
compensate you for my credit risk." The reference rate resets each period (e.g., every 3
months) using the current market rate; the quoted margin is fixed for the life of the bond
(unless it's a step-up structure).
Real-world meaning: A bank issuing a 2-year FRN at "SOFR + 45bps" pays whatever
SOFR is at each reset date, plus a constant 0.45%.
Importance: This is the mechanism that makes floaters' prices barely move when rates
change — the coupon itself chases the market rate.
Exam relevance: ★★★ — usually one direct calculation question.
, Common confusion: Candidates confuse "coupon rate" (what you're actually paid)
with "quoted margin" (only the spread component). QM is not the coupon — it's the
spread over the reference rate.
Common mistake: Forgetting to convert an annualized margin to the
coupon period (e.g., dividing an annual 60bp margin by 4 for a quarterly floater).
Memory trick: "Coupon = Current rate + Constant margin."
4.2 Quoted Margin (QM) vs. Discount Margin (DM) vs. Required Margin
Term What it is When used
Quoted The fixed spread stated in the bond's Determines cash flows
Margin (QM) indenture; used to set the coupon
Discount The spread added to the reference rate to Used to find price,
Margin (DM) discount the floater's cash flows to get given a required margin
its market price
Required The DM that would make the bond trade at The market's "fair"
Margin par today, given its current credit/liquidity spread — compare it to
risk QM
Intuition: QM was fixed on issuance day based on the issuer's credit risk then. Required
margin reflects the issuer's credit risk today. If the issuer's credit has worsened,
required margin > QM → bond must trade below par to compensate new buyers (and
vice versa).
The Core Relationship (memorize this):
QM = Required Margin → Price = Par QM < Required Margin → Price < Par
(discount) QM > Required Margin → Price > Par (premium)
Why this works (economic intuition): Exactly analogous to fixed-rate bonds and
coupon-rate-vs-YTM. If the market now demands more compensation (higher required
margin) than the floater actually pays (QM), the only way to equate the investor's
realized return to the market's required return is for the price to fall — creating capital-
gain potential.
Exam relevance: ★★★★★ — this comparison (QM vs required margin →
premium/discount/par) is tested almost every sitting, often as a stand-alone
conceptual MCQ.
CFA LEVEL I FIXED INCOME — COMPLETE REVISION HANDBOOK
Readings 54–60 (Yield/Spread Measures for Floaters, Term Structure, Interest Rate
Risk & Return, Duration, Convexity, Curve-Based/Empirical Risk Measures, Credit
Risk)
This output is AI-generated exam-preparation content and must be reviewed and
approved before any business, regulatory, or formal educational use. It is not
investment, credit, or financial advice.
Curriculum mapping note: This handbook uses the current CFA Institute reading
numbering (R54 = Yield and Yield Spread Measures for Floating-Rate Instruments ... R60
= Credit Risk). If your provider labels these readings differently (older curriculum years
used different numbering), match by topic title rather than number.
TABLE OF CONTENTS
1. Reading 54 — Yield and Yield Spread Measures for Floating-Rate Instruments
2. Reading 55 — The Term Structure of Interest Rates (Spot, Par, Forward Curves)
3. Reading 56 — Interest Rate Risk and Return
4. Reading 57 — Yield-Based Bond Duration Measures and Properties
5. Reading 58 — Yield-Based Bond Convexity and Portfolio Properties
6. Reading 59 — Curve-Based and Empirical Fixed-Income Risk Measures
7. Reading 60 — Credit Risk
8. Master Formula Sheet
9. Master Comparison Table
10. Master Mind Map & Master Revision Chart
11. Top 100 Conceptual Questions (with Answers)
12. Top 50 Numerical Questions (with Full Solutions)
13. Last-Day Revision Notes
CFA LEVEL I — FIXED INCOME REVISION HANDBOOK
,READING 54: Yield and Yield Spread Measures for Floating-Rate Instruments
This output is AI-generated and must be reviewed and approved before business or
regulatory use. It is educational exam-prep content only — not investment, trading, or
credit advice.
1. Learning Objectives (LOS)
By the end of this reading you must be able to:
• LOS a: Calculate and interpret the coupon rate of a floating-rate note
(FRN/floater).
• LOS b: Explain the quoted margin, discount margin, and required margin of a
floater, and calculate the FRN price given the discount margin (and vice versa).
• LOS c: Calculate and interpret the yield spread measures used for fixed-rate
bonds (T-spread, Z-spread) as a bridge concept.
• LOS d: Explain how credit and liquidity risk are reflected in a floater's price and
margin.
(Exact LOS wording varies slightly by year/provider — this covers the tested substance
either way.)
2. Big Picture
Why this topic exists: Roughly a third of global bond issuance (bank debt, ABS/CLO
tranches, some sovereign paper) pays a rate that moves with the market instead of
staying fixed. If all we knew was "fixed-rate YTM," we'd have no way to price or compare
these instruments. Reading 54 gives you the toolkit for floating-rate paper.
Why CFA tests it: Because it's a favorite place to test whether you actually
understand why bond prices move — floaters behave completely differently from fixed-
rate bonds when rates change, and that contrast is gold for exam writers.
Where it fits: This reading is the "floating-rate cousin" of bond pricing/yield readings.
Everything you learned about a fixed coupon bond's price = PV of cash flows still applies
— the only change is the coupon itself resets periodically to a reference rate.
Connection to earlier readings: Builds directly on bond valuation (price = PV of CFs)
and yield-spread concepts (G-spread, Z-spread) from the fixed-rate readings. Feeds
forward into Interest Rate Risk & Duration (R56–58): floaters have very low duration
precisely because of the mechanics you learn here.
,3. Concept Map
Reference Rate (e.g., SOFR/CME Term SOFR)
↓
+ Quoted Margin = Coupon Rate (fixed at issuance/reset)
↓
Coupon Rate applied to Par → Cash Flow each period
↓
Discount Rate for valuation = Reference Rate + Discount Margin
↓
Price = PV of coupons + PV of par, discounted at (Ref Rate + DM)
↓
Required Margin = the DM that makes Price = Par
↓
Compare Quoted Margin vs Required Margin → is the floater cheap/rich?
4. Core Concepts
4.1 Coupon Rate of a Floater
Definition: Coupon Rate = Reference Rate + Quoted Margin (QM).
Intuition: The issuer says, "I'll always pay you the going market rate, plus a little extra to
compensate you for my credit risk." The reference rate resets each period (e.g., every 3
months) using the current market rate; the quoted margin is fixed for the life of the bond
(unless it's a step-up structure).
Real-world meaning: A bank issuing a 2-year FRN at "SOFR + 45bps" pays whatever
SOFR is at each reset date, plus a constant 0.45%.
Importance: This is the mechanism that makes floaters' prices barely move when rates
change — the coupon itself chases the market rate.
Exam relevance: ★★★ — usually one direct calculation question.
, Common confusion: Candidates confuse "coupon rate" (what you're actually paid)
with "quoted margin" (only the spread component). QM is not the coupon — it's the
spread over the reference rate.
Common mistake: Forgetting to convert an annualized margin to the
coupon period (e.g., dividing an annual 60bp margin by 4 for a quarterly floater).
Memory trick: "Coupon = Current rate + Constant margin."
4.2 Quoted Margin (QM) vs. Discount Margin (DM) vs. Required Margin
Term What it is When used
Quoted The fixed spread stated in the bond's Determines cash flows
Margin (QM) indenture; used to set the coupon
Discount The spread added to the reference rate to Used to find price,
Margin (DM) discount the floater's cash flows to get given a required margin
its market price
Required The DM that would make the bond trade at The market's "fair"
Margin par today, given its current credit/liquidity spread — compare it to
risk QM
Intuition: QM was fixed on issuance day based on the issuer's credit risk then. Required
margin reflects the issuer's credit risk today. If the issuer's credit has worsened,
required margin > QM → bond must trade below par to compensate new buyers (and
vice versa).
The Core Relationship (memorize this):
QM = Required Margin → Price = Par QM < Required Margin → Price < Par
(discount) QM > Required Margin → Price > Par (premium)
Why this works (economic intuition): Exactly analogous to fixed-rate bonds and
coupon-rate-vs-YTM. If the market now demands more compensation (higher required
margin) than the floater actually pays (QM), the only way to equate the investor's
realized return to the market's required return is for the price to fall — creating capital-
gain potential.
Exam relevance: ★★★★★ — this comparison (QM vs required margin →
premium/discount/par) is tested almost every sitting, often as a stand-alone
conceptual MCQ.
