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Lesson 2 of 4 11–14% of the exam

Floating, step-up, inflation-linked and zero-coupon bonds

Floating-rate debt resets its coupon with a market reference rate. Step-up and credit-linked coupons change on a schedule or after an event. Inflation-linked bonds adjust the principal or the coupon for a price index. Zero and deferred coupon bonds pay little or nothing until later, which is why they sell below par.

8 min cram, 32 min full read. Based on the 2027 CFA® Program Level I curriculum, Fixed Income, Learning Module 2. Also part of the 2026 curriculum, so it applies to the November 2026 exam too.

Tailor this to you: take the self-assessment

Before this: Fixed-Income Instrument Features, Returns of Financial Assets

On the exam

  • Describe common cash flow structures of fixed-income instruments and contrast cash flow contingency provisions that benefit issuers and investors

Describe variable, index-linked, zero-coupon and deferred-coupon structures. Expect one coupon calculation on an inflation-linked bond, a floating-rate or pricing-grid coupon, and matching questions (payment-in-kind or PIK, step-up, credit-linked).

How deeply to learn each part
Know the idea
Understand it in general. It frames other topics, but you will not calculate with it.
Use it
Understand it well enough to solve a question with it. Recognize when it applies.
Memorize
Learn it by heart. The exam will not give it to you.

You know this one. The full lesson is folded away. The takeaways, formulas and checkpoint below are your quick refresher, and the checkpoint is a fair test of whether you still do.

You tested strong here. The full lesson is folded away. The takeaways, formulas and checkpoint below are your quick refresher, and the checkpoint is a fair test of whether you still know it.

Cram mode: the one-screen version of this lesson. Switch to Full for the explanations, worked examples and interactives.

What other ways can a bond pay interest?

A plain bond pays the same fixed coupon until maturity. Everything in this lesson changes one thing: when the cash arrives, or what moves it. The coupon type decides which risk the investor keeps.

How a bond can pay its interest
Coupon structuresbeyond the plain fixed coupon
  • Variable interest Memorize the coupon moves
    • Floating-rate note Memorize MRR (resets) + credit spread (fixed)
    • Step-up bond Memorize coupon rises by set amounts on set dates
    • Event-driven coupon Use it spread steps up if leverage, rating or a target worsens
    • Payment-in-kind Memorize interest paid by adding to principal
  • Index-linked Memorize cash flows follow a price index
    • Capital-indexed Memorize principal moves; coupon = real rate × adjusted principal
    • Interest-indexed Memorize principal fixed; coupon carries the inflation
  • Little or no cash coupon Memorize priced below par
    • Zero-coupon bond Memorize one payment at maturity; no reinvestment risk
    • Deferred coupon bond Memorize nothing for a few years, a higher coupon later

How does variable interest work?

Floating-rate notes (FRNs) and most loans pay a coupon of a market reference rate (MRR) plus a credit spread. The MRR resets each period and the spread is fixed at issue. Banks like floating-rate assets because their own funding, such as deposits, floats too.

Because the coupon follows rates, an FRN has little interest rate risk. It still has credit risk: if the issuer looks weaker, investors want a higher yield and the price falls, whatever the MRR does.

Step-up bonds and event-driven coupons

Step-up bonds raise the coupon by set amounts on set dates. They protect investors against rising rates and, because the cost climbs, can encourage the issuer to call the bond (the next lesson covers calls).

Other coupons change with an event. A leveraged loan is a loan to a lower-quality borrower, and its spread often depends on a leverage ratio, so a weaker balance sheet pays more. This lets the borrower obtain debt at a lower starting spread. Credit-linked notes tie the coupon to a covenant or a credit rating. Sustainability-linked bonds step the coupon up if an environmental target is missed. Green bonds are different: they carry an ordinary coupon but fund projects with an environmental benefit.

Coupons that change with an event
Event-driven couponsthe trigger decides the name
  • Leveraged loan Use it spread set by a leverage ratio grid; lower-quality borrowers
  • Credit-linked note Use it coupon tied to a covenant or a credit rating
  • Sustainability-linked bond Know the idea step-up if an environmental target is missed

Payment-in-kind

A payment-in-kind (PIK) feature lets the issuer pay interest by increasing the principal outstanding instead of paying cash. Highly levered issuers use it to conserve cash, and investors demand a higher rate because their claim grows and so does the risk.

Payment-in-kind balance Use it
Pt=P0(1+c)tP_t = P_0 (1 + c)^{t}
Rearrange itPayment-in-kind: solve for the balance, the starting principal or the years
The question asks for
A note of 100.00 pays 10.00% interest per period entirely in kind. After 3 periods the principal owed is closest to:

100.00 × 1.1^3 = 133.10

Principal owed after t periods (same units)133.10

On your calculator
  1. 2NDCLR TVMwith P/Y set to 1
  2. 3N10I/Y100+|-PV
  3. CPTFV

2ND second function (the shifted label above a key) · CLR TVM clear the time value of money keys · N number of periods · I/Y interest rate per year (per period when P/Y is 1) · +|- change sign · PV present value · CPT compute · FV future value

  1. fCLEAR FIN
  2. 3n10i100CHSPV
  3. FV

f gold shift key · CLEAR FIN clear the financial registers · n number of periods · i interest rate per period · CHS change sign · PV present value · FV future value

How do inflation-linked bonds work?

Index-linked bonds tie interest and/or principal to an index. In practice almost all use a broad consumer price index, so they are inflation-linked bonds (linkers). A fixed bond pays nominal cash flows whose buying power erodes with inflation. A linker keeps the cash flows in real terms. Most are issued by governments.

There are two designs.

  • A capital-indexed bond scales the principal by the index, and the coupon is the fixed real rate times the adjusted principal. Treasury Inflation-Protected Securities (TIPS) in the United States work this way. Deflation can shrink the principal, but investors usually receive at least par at maturity.
  • An interest-indexed bond keeps the principal fixed and puts the inflation adjustment in the coupon, like an FRN whose reference rate is inflation. It is issued more often by private financial intermediaries than by governments.
Capital-indexed coupon Memorize
C=creal×Par×I1/I0mC = \frac{c_{real} \times \text{Par} \times I_1 / I_0}{m}

Here I₁ ÷ I₀ is the change in the index since the start and m is the payments per year.

Rearrange itCapital-indexed bond: solve for the coupon, the real rate or the par
The question asks for
A capital-indexed bond with original principal of 50.00 pays a 1.50% real coupon 2 times a year. The index rises from 310 to 316.2. The next coupon is closest to:

0.015 × 50.00 × (316.2 ÷ 310) ÷ 2 = 0.3825

Coupon payment (same units as par)0.38

On your calculator
  1. 316.2÷310×50×0.015÷2=index ratio first, then par, then the real rate
  1. 316.2ENTER310÷50×0.015×2÷index ratio first, then par, then the real rate

ENTER enter (on the HP, puts the number on the stack)

Loading the interactive

What are zero-coupon and deferred coupon bonds?

Zero-coupon bonds pay no coupons. They are sold below par (while rates are positive) and repaid at par, so the whole return is the climb to par. Governments issue them for terms under a year, and dealers also strip the coupons and principal off government bonds to make them. With no coupons to reinvest, a zero has no reinvestment risk, which makes it useful for funding a known future payment. It still carries interest rate and credit risk.

Deferred coupon bonds pay nothing for the first few years and a higher coupon later. Issuers use them to conserve cash while a project is built or while a weak credit recovers. They are usually priced below par.

Exam tip The coupon type decides the risk you keep: rates (fixed), inflation (nominal), credit (all of them), reinvestment (anything that pays coupons, so not zeros).

Go deeper Real versus nominal return on a linker

A linker’s coupon rate is a real rate: it already excludes the inflation compensation, which arrives through the principal. To compare with a nominal bond, add expected inflation to the real yield (the Fisher relation from the rates and returns lesson). The gap between a nominal bond’s yield and a linker’s real yield is the market’s inflation expectation plus a risk premium.

Go deeper Why zero-coupon issuance spread to longer maturities

Zeros used to be mostly short-term government bills. When government yields fell to around zero, or below, after the 2008 crisis, a coupon at market rates would have been close to nothing anyway, so issuing at longer maturities without a coupon cost issuers little and suited investors who wanted a single known payment. A zero priced at a negative yield sells above par, which is why the discount label only holds while rates are positive.

Go deeper Sukuk and rental payments

Some Islamic-finance securities replace interest with a share of rental or profit from assets. They are a legal form rather than a coupon type, and the last lesson of this module covers them.

Memorize this

MemorizeWhich coupon moves, and what stays fixed

StructureMovesFixed
Floating-rate noteMRR each periodcredit spread
Step-upcoupon, on a schedulenothing else
Capital-indexedprincipal (then coupon with it)real coupon rate
Interest-indexedcouponprincipal
Payment-in-kindprincipal growsno cash coupon
Zero-couponnothingone payment at maturity

Memory hook Capital-indexed: index the capital (principal) first, then apply the real coupon to it.

Know it cold Coupon = real rate × adjusted principal ÷ payments per year. Never add inflation to the coupon rate of a capital-indexed bond.

MemorizeWhat each structure does to the risks

StructureInterest rate riskCredit riskReinvestment risk
Floating-rate notelowstaysstays
Inflation-linkedinflation removed; real rate remainsstaysstays
Zero-couponstaysstaysnone

Memory hook A floater reprices the rate risk away, never the credit risk.

Know it cold Zero-coupon: no coupons, so no reinvestment risk. Use it to fund a known future liability.

MemorizePIK versus deferred coupon

Memory hook PIK = Paid In Kind (more bonds, not cash). Deferred = Delayed, then paid in cash.

Know it cold PIK adds interest to principal and compounds. A deferred coupon is postponed, then paid in cash at a higher rate.

How a bond can pay its interest
Coupon structuresbeyond the plain fixed coupon
  • Variable interest Memorize the coupon moves
    • Floating-rate note Memorize MRR (resets) + credit spread (fixed)
    • Step-up bond Memorize coupon rises by set amounts on set dates
    • Event-driven coupon Use it spread steps up if leverage, rating or a target worsens
    • Payment-in-kind Memorize interest paid by adding to principal
  • Index-linked Memorize cash flows follow a price index
    • Capital-indexed Memorize principal moves; coupon = real rate × adjusted principal
    • Interest-indexed Memorize principal fixed; coupon carries the inflation
  • Little or no cash coupon Memorize priced below par
    • Zero-coupon bond Memorize one payment at maturity; no reinvestment risk
    • Deferred coupon bond Memorize nothing for a few years, a higher coupon later
Coupons that change with an event
Event-driven couponsthe trigger decides the name
  • Leveraged loan Use it spread set by a leverage ratio grid; lower-quality borrowers
  • Credit-linked note Use it coupon tied to a covenant or a credit rating
  • Sustainability-linked bond Know the idea step-up if an environmental target is missed
Capital-indexed coupon Memorize
C=creal×Par×I1/I0mC = \frac{c_{real} \times \text{Par} \times I_1 / I_0}{m}
Quick example

GBP 30 million, 1.2% real coupon, semiannual; the index rises from 250.0 to 254.0. Adjusted principal 30 × 1.016 = 30.48 million; 1.2% × 30.48m ÷ 2 = GBP 182,880.

On your calculator
  1. 254÷250×30000000×0.012÷2= 182,880
  1. 254ENTER250÷30000000×0.012×2÷ 182,880

ENTER enter (on the HP, puts the number on the stack)

Payment-in-kind balance Use it
Pt=P0(1+c)tP_t = P_0 (1 + c)^{t}
Quick example

USD 100 million at a 10% PIK coupon owes 100 × 1.10 = USD 110 million after one year, and 133.1 after three.

On your calculator
  1. 1.1y^x3×100= 133.1

y^x power

  1. 1.1ENTER3y^x100× 133.1

ENTER enter (on the HP, puts the number on the stack) · y^x power

How it is asked

  1. Capital-indexed coupon

    GBP 30 million, 1.2% real, semiannual; index 250.0 to 254.0. Next coupon?

    30m × (254.0 ÷ 250.0) × 1.2% ÷ 2 = GBP 182,880. Traps: 180,000 (no indexation) and 420,000 (inflation added to the rate).

  2. Pricing grid

    Spread 450 bps at or above 4.0× leverage, 400 bps below. Leverage 3.6× to 4.3×, MRR 2.80%. New coupon?

    Coupon = 2.80% + 4.50% = 7.30% (was 6.80%).

  3. Match the feature

    Interest paid by issuing more of the same debt rather than cash?

    Payment-in-kind. Not a deferred coupon (that is paid later, in cash).

  4. Which instrument removes a risk?

    Fixed payment due in 7 years, no reinvestment risk wanted.

    Zero-coupon bond. An FRN still has coupons to reinvest.

Exam traps

  • Applying the inflation rate to the coupon of a capital-indexed bond. The index adjusts the principal; the fixed real coupon rate is then applied to the adjusted principal.
  • Thinking floating-rate notes remove credit risk. They remove most interest rate risk; if the issuer weakens, the price falls whatever the MRR does.
  • Confusing PIK (interest paid in more debt, which compounds) with a deferred coupon (interest postponed, then paid in cash).
  • Forgetting that inflation-linked bonds usually return at least par at maturity, even after deflation.
  • Calling a zero-coupon bond free of all risk. Only reinvestment risk is removed; interest rate and credit risk remain.

Checkpoint

4 exam-style questions. About 90 seconds each.

  1. 1A GBP 20 million capital-indexed bond pays a 0.8% real coupon semiannually. Over the period the price index rises from 280.0 to 284.2. The next coupon payment is closest to:

  2. 2A highly levered issuer that wants to pay interest by issuing more of the same debt, rather than in cash, would use a:

  3. 3An investor must pay a fixed amount in 7 years and wants no reinvestment risk. The most appropriate instrument is a 7-year:

  4. 4A USD 40 million loan pays quarterly at MRR plus a spread set by leverage: 350 bps if net debt to EBITDA is at least 3.0×, 300 bps if below. Leverage rises from 2.6× to 3.2× and MRR is 2.40% for the period. The new quarterly interest payment is closest to:

Key takeaways

  • FRN coupon = MRR + spread: low interest rate risk, credit risk remains.
  • Step-up, credit-linked and sustainability-linked coupons change on a schedule or an event; PIK pays interest in kind.
  • Capital-indexed: index the principal, then apply the real coupon. Interest-indexed: index the coupon only.
  • Zero-coupon bonds sell at a discount and have no reinvestment risk; deferred coupon bonds pay cash later.
Capital-indexed coupon Memorize
C=creal×Par×I1/I0mC = \frac{c_{real} \times \text{Par} \times I_1 / I_0}{m}
Quick example

GBP 30 million, 1.2% real coupon, semiannual; the index rises from 250.0 to 254.0. Adjusted principal 30 × 1.016 = 30.48 million; 1.2% × 30.48m ÷ 2 = GBP 182,880.

On your calculator
  1. 254÷250×30000000×0.012÷2= 182,880
  1. 254ENTER250÷30000000×0.012×2÷ 182,880

ENTER enter (on the HP, puts the number on the stack)

Payment-in-kind balance Use it
Pt=P0(1+c)tP_t = P_0 (1 + c)^{t}
Quick example

USD 100 million at a 10% PIK coupon owes 100 × 1.10 = USD 110 million after one year, and 133.1 after three.

On your calculator
  1. 1.1y^x3×100= 133.1

y^x power

  1. 1.1ENTER3y^x100× 133.1

ENTER enter (on the HP, puts the number on the stack) · y^x power

All Fixed Income formulas, every lesson

Practice exam-style questions on Fixed-Income Cash Flows and Types

Questions about this lesson?

Where this comes back

Questions candidates ask

How are TIPS coupon payments calculated?

The principal is adjusted by the change in the consumer price index, and the fixed real coupon rate is applied to that adjusted principal. A 1% real coupon on principal that has risen 2% pays 1% of the larger amount.

What is a payment-in-kind bond?

A bond whose issuer can pay interest by increasing the principal owed instead of paying cash. It suits highly levered issuers, but investors demand a higher rate because the debt grows.

Why do zero-coupon bonds have no reinvestment risk?

There are no coupons to reinvest. The whole return arrives at maturity as the climb from the discount price to par, so the investor knows the outcome if held to maturity.

Spotted an error? Tell us and we will fix it.

  1. Bullet, amortizing and sinking fund bonds
  2. Floating, step-up, inflation-linked and zero-coupon bonds
  3. Callable, putable and convertible bonds
  4. Domestic, foreign and Eurobonds, and how bonds are taxed

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