The features of a bond
A bond is a loan made tradable. Six features describe it: who borrows (issuer), when the final payment is due (maturity), how much is repaid (principal or par), what interest is paid and how often (coupon rate and frequency), where it ranks (seniority) and what can change the cash flows (contingency provisions).
Before this: Returns of Financial Assets, Time Value of Money in Finance
On the exam
- Describe the features of a fixed-income security
Describe the features of a fixed-income security. Expect: match a term sheet line to its feature; compute a fixed or floating coupon payment; classify a security by tenor at issue; rank claims by seniority.
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.
What is the difference between a loan and a bond?
Both are borrowing with a promise to pay interest and repay principal. A loan is a private agreement, usually between a borrower and a bank. A bond is standardized and built to trade, so many investors can hold slices of the same debt.
Together they are fixed-income instrument s. All of them are liabilities of the borrower, but not every liability is fixed income: accounts payable, deferred revenue and taxes payable are obligations to suppliers, customers and the tax authority, not borrowing from investors. Leases and pensions resemble debt but are covered elsewhere.
A bond differs from a share in three ways: its cash flows are committed by contract, it carries no vote, and it ranks higher when the issuer fails.
What are the six features of a bond?
Every bond is described by the same six items, laid out on its term sheet. Here is one we will use throughout.
| Term sheet line | Feature | In one sentence |
|---|---|---|
| Issuer: Halvorsen Shipping ASA | Issuer | The legal entity that owes every payment. |
| Maturity: 7 years from settlement | Maturity | The date of the final payment. |
| Principal: USD 500 million | Par (face value) | What is repaid at maturity. |
| Coupon: 4.50%, paid semiannually | Coupon rate and frequency | Annual interest = rate × par, split evenly across the year’s payments. |
| Ranking: senior unsecured | Seniority | Place in the queue in bankruptcy. |
| Call: none | Contingency provision | A clause that changes the cash flows if an event happens. |
- Issuer Use it who owes every payment
- Maturity Memorize date of the final payment
- Principal (par, face value) Memorize the amount repaid; coupons are measured on it
- Coupon rate and frequency Memorize interest paid, and how often
- Fixed coupon same payment every period
- Floating-rate note MRR (resets) + credit spread (fixed)
- Zero-coupon bond no coupons; the discount to par is the interest
-
- Seniority Memorize place in the queue in bankruptcy
- Contingency provisions Use it embedded call, put or conversion option
The issuer can be any legal entity: a national or local government, a supranational such as the World Bank, a government-owned agency, a corporation or a special purpose entity that holds loans. Sovereign bonds are backed by taxing power, so they are usually the safest in their own market.
Maturity, tenor and principal
The maturity is the date of the final payment. The tenor is the time remaining until it. Securities are classed by their tenor when first issued.
- Money market security Memorize one year or less (T-bills, commercial paper)
- Capital market security Memorize longer than one year
- Perpetual bond Use it no maturity date; still debt, not equity
Money market securities have a tenor of one year or less at issue (Treasury bills, commercial paper). Capital market securities are longer. A perpetual bond has no maturity date but is still debt: its cash flows are set by contract, it has no votes and it ranks ahead of equity.
The principal (also par value or face value) is the amount the issuer agrees to repay. Some debt repays principal in pieces, as a mortgage does, rather than as one lump sum at maturity.
How do you calculate a coupon payment?
The coupon rate is applied to par, never to the price the bond trades at. The annual coupon is split evenly across the payment dates.
Here c is the coupon rate and m is the number of payments a year (1, 2, 4 or 12). Corporate bonds usually pay semiannually.
A bond with a par value of 500.00 pays a 4.50% coupon 2 times a year. Each coupon payment is closest to:
0.045 × 500.00 ÷ 2 = 11.25
Payment each period (same units as par)11.25
- 500×0.045÷2=par, not price
- 500ENTER0.045×2÷par, not price
ENTER enter (on the HP, puts the number on the stack)
Try this 0 of 3
- Halve each coupon payment without touching the coupon rate
- Give the FRN a rising reference rate, then change its spread
- Issue a zero-coupon bond and find the interest it pays
- Issuer
- Halvorsen Shipping ASA
- Maturity
- 7 years from settlement
- Principal (par)
- USD 500 million
- Coupon rate and frequency
- 4.5%, paid semiannually
- Seniority
- Senior unsecured
- Contingency provisions
- None (no call, put or conversion)
Amounts in USD millions. Above the line: what the issuer pays the investor; below: what the investor pays at issue. Coupons are drawn to a larger scale than the principal so each one stays visible.
Show working
Annual coupon = coupon rate × par = 4.5% × 500 = 22.5 million.
Each payment = annual coupon ÷ payments a year = 22.5 ÷ 2 = 11.25 million, 14 times (7 years × 2).
Final payment = last coupon + par = 11.25 + 500 = 511.25 million. The price the bond trades at never enters the coupon.
- 500×0.045÷2=11.25, each coupon
- 500ENTER0.045×2÷11.25, each coupon
ENTER enter (on the HP, puts the number on the stack)
How does a floating-rate note pay interest?
A floating-rate note (FRN) has a coupon that resets. The coupon rate is a market reference rate (MRR) plus a credit spread .
The MRR is a standard short-term borrowing rate for the highest-quality borrowers, and it resets each period from the market. The spread s is set at issue, is quoted in basis points (hundredths of a percentage point) and usually stays constant. The stronger the issuer, the smaller the spread.
A floating-rate note with a par value of 40.00 pays interest 4 times a year at MRR plus 180 bps. MRR is 3.10% for the period. The interest payment is closest to:
(0.031 + 0.018) × 40.00 ÷ 4 = 0.49
Interest payment (same units as par)0.49
- 0.031+0.018×40÷4=MRR + spread first, as decimals
- 0.031ENTER0.018+40×4÷MRR + spread first, as decimals
ENTER enter (on the HP, puts the number on the stack)
A zero-coupon bond (or pure discount bond) pays no coupons. It is bought below par and repaid at par, and the gap is all the interest, received in one go at maturity.
Exam tip FRN: the market part resets, the issuer part stays. Zero: the discount is the interest.
What are seniority and contingency provisions?
Seniority is a claim’s priority in bankruptcy or liquidation. Senior debt is paid before subordinated debt (also called junior debt), which is paid only once senior claims are satisfied. Lesson 3 adds security to the ranking.
A contingency provision allows an action if an event occurs. The most common are embedded option s: the right to call (redeem early), put (sell back) or convert to shares. They cannot be traded apart from the bond. Their value is the price of the bond with the option minus the price of an otherwise identical bond without it. The next module builds on this.
Go deeper Why governments mostly issue bonds, not loans
National and local governments are usually financed by bonds rather than bank loans. They are large, long-lived borrowers, and bonds let them reach many investors at once. The main exception is lending from supranational bodies such as the International Monetary Fund (IMF), which is made by private agreement and is a loan.
Go deeper Perpetual bonds in practice
Public-sector entities issued the first perpetual bonds, and some local authorities still do. Banks also issue perpetual bonds to meet regulatory capital requirements. Many of these can be called by the issuer or converted into equity if the bank is in trouble, which links them to the contingency provisions of the next module.
Go deeper Why survey-based reference rates were replaced
Floating rates were once set by polling banks on what they would charge each other (Libor). A poll can be nudged. Reference rates now follow the average of rates observed in real market transactions, which is much harder to manipulate. For the exam, remember that the MRR is a market-observed rate that resets each period.
Memorize this
MemorizeSix features, one plain job each
| Feature | Job |
|---|---|
| Issuer | who owes the payments |
| Maturity | date of the final payment |
| Principal (par) | amount repaid; base for coupons |
| Coupon rate, frequency | interest = rate × par ÷ payments a year |
| Seniority | rank in bankruptcy |
| Contingency provisions | call, put, conversion |
Memory hook I-M-P-C-S-C: "I Must Pay Coupons, Seniors first, Contingencies".
Know it cold Coupons come from par, never from price. Divide by payments per year.
MemorizeThree ways to pay interest
| Type | Interest |
|---|---|
| Fixed coupon | same each period |
| Floating-rate note | MRR resets, spread fixed (bps) |
| Zero-coupon | none; bought below par, repaid at par |
Memory hook Floating = float with the market (MRR); the spread is the issuer's own "tag" and stays put.
Know it cold Stronger issuer, smaller spread.
MemorizeTenor classes
Memory hook One year is the line: up to 1 year money, over 1 year capital.
Know it cold Classify by tenor at issue, not by time left.
- Issuer Use it who owes every payment
- Maturity Memorize date of the final payment
- Principal (par, face value) Memorize the amount repaid; coupons are measured on it
- Coupon rate and frequency Memorize interest paid, and how often
- Fixed coupon same payment every period
- Floating-rate note MRR (resets) + credit spread (fixed)
- Zero-coupon bond no coupons; the discount to par is the interest
-
- Seniority Memorize place in the queue in bankruptcy
- Contingency provisions Use it embedded call, put or conversion option
- Money market security Memorize one year or less (T-bills, commercial paper)
- Capital market security Memorize longer than one year
- Perpetual bond Use it no maturity date; still debt, not equity
Quick example
NOK 300,000 par, 4.4% coupon, paid quarterly (m = 4). 300,000 × 0.044 ÷ 4 = NOK 3,300 a quarter.
- 300000×0.044÷4= 3300
- 300000ENTER0.044×4÷ 3300
ENTER enter (on the HP, puts the number on the stack)
Quick example
EUR 80m FRN, MRR 2.10% plus 95 bps, semiannual. (0.0210 + 0.0095) × 80m ÷ 2 = EUR 1,220,000.
- 0.021+0.0095×80000000÷2= 1220000
- 0.021ENTER0.0095+80000000×2÷ 1220000
ENTER enter (on the HP, puts the number on the stack)
How it is asked
-
Fixed coupon payment
NOK 300,000 par, 4.4%, quarterly. Each coupon?
300,000 × 0.044 ÷ 4 = NOK 3,300. Trap: 13,200 (annual) or 6,600 (÷ 2).
-
FRN payment
MRR 2.10% + 95 bps on EUR 80m, semiannual.
3.05% × 80m ÷ 2 = EUR 1,220,000. Trap: leaving out the spread (840,000).
-
Match the term sheet line
"MRR plus 210 bps, paid quarterly" refers to which features?
Coupon rate and frequency. Not maturity, not a contingency provision.
-
Classify by tenor
Ten-year bond with six months left.
Capital market security (tenor at issue was above one year).
Exam traps
- Computing the coupon from the price instead of par.
- Forgetting to divide the annual coupon by the number of payments a year.
- Classifying by remaining tenor instead of tenor at issue: a 10-year bond with 6 months left is still a capital market security.
- Thinking the FRN spread resets. Only the MRR resets; the spread is fixed at issue.
- Treating a perpetual bond as equity. It has contractual cash flows, no votes and ranks ahead of shareholders.
Checkpoint
4 exam-style questions. About 90 seconds each.
1A CHF 200,000 par bond carries a 3.6% coupon paid quarterly. Each coupon payment is closest to:
2An issuer pays semiannual interest on a EUR 50 million floating-rate note at MRR + 135 bps. If MRR is 2.40% for the period, the interest payment is closest to:
3A bond issued with a 10-year maturity has six months remaining. It is best described as a:
4A floating-rate note pays MRR plus 120 bps. At the next reset, MRR rises by 50 bps. The note's coupon rate for the new period:
Key takeaways
- Issuer, maturity, principal, coupon rate and frequency, seniority and contingency provisions define a bond.
- Coupon payment = coupon rate × par ÷ payments per year.
- FRN coupon = MRR (resets) + credit spread (fixed at issue).
- Zero-coupon bonds pay all their interest as the discount to par.
- Money market means a tenor of one year or less at issue; capital market means longer.
Quick example
NOK 300,000 par, 4.4% coupon, paid quarterly (m = 4). 300,000 × 0.044 ÷ 4 = NOK 3,300 a quarter.
- 300000×0.044÷4= 3300
- 300000ENTER0.044×4÷ 3300
ENTER enter (on the HP, puts the number on the stack)
Quick example
EUR 80m FRN, MRR 2.10% plus 95 bps, semiannual. (0.0210 + 0.0095) × 80m ÷ 2 = EUR 1,220,000.
- 0.021+0.0095×80000000÷2= 1220000
- 0.021ENTER0.0095+80000000×2÷ 1220000
ENTER enter (on the HP, puts the number on the stack)
All Fixed Income formulas, every lesson
Practice exam-style questions on Fixed-Income Instrument Features
Questions about this lesson?
Where this comes back
- Current yield, yield to maturity and the yield curve Fixed-Income Instrument Features
- Fixed-Income Cash Flows and Types Fixed Income
- Bond Valuation: Prices and Yields Fixed Income
Questions candidates ask
What are the basic features of a bond?
Issuer, maturity, principal (par value), coupon rate and frequency, seniority and contingency provisions such as call or put options. Together they fix the bond's promised cash flows and where it stands among the issuer's other debts.
How is a floating-rate note coupon calculated?
Add the issuer's fixed credit spread to the market reference rate for the period, then apply that rate to par for the length of the period. A 180 bps spread with a 3.10% reference rate gives a 4.90% annual rate, so 1.225% a quarter.
What is the difference between money market and capital market securities?
Money market securities have a tenor of one year or less when issued, such as Treasury bills and commercial paper. Capital market securities have a longer tenor at issue. The test is the tenor at issue, not the time left.
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