Bond indexes and how they differ from equity indexes
Bond indexes track the market like stock indexes, but they hold far more securities, change constituents far more often (bonds mature and new ones keep arriving) and weight each bond by the market value of its debt. They range from broad aggregates to narrow indexes by sector, rating, maturity, region or environmental, social and governance (ESG) screen.
Before this: Bond market segments, issuers and investors
On the exam
- Describe types of fixed-income indexes
Describe types of fixed-income indexes. Expect: the three differences from equity indexes; which index fits a given fund; occasionally a market-value weight from par and price.
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.
How is a bond index different from a stock index?
A bond index does the same jobs as a stock index: it measures market performance, benchmarks managers and funds, and underlies index funds. It differs in three ways.
| Equity index | Bond index | |
|---|---|---|
| Constituents | One or two lines per company; hundreds to a few thousand | Every eligible bond of every issuer; some indexes have more than 10,000 |
| Turnover | Low; changes with listings, delistings and reviews | High: bonds mature and new issues arrive; usually rebalanced monthly |
| Weighting | Market capitalization of equity | Market value of debt outstanding, so big borrowers (often governments) weigh most |
| Replication | Full replication often possible | Usually a representative sample |
More turnover comes from two sources: every bond has a finite life, and issuers keep selling new bonds. Bonds that fall under the minimum maturity, rating or size are removed at each rebalancing , and new issues are added.
An index fund cannot practically buy every one of 10,000 or more bonds, many of which rarely trade. It uses representative sampling : a smaller set of bonds chosen to match the index’s duration, credit mix and sector weights.
A broad bond index also drifts with the market. If governments borrow more, issuers move to longer maturities or average credit quality slips, the index shifts too.
How is a bond’s index weight calculated?
Market value weighting means each bond counts for its share of the total market value of debt in the index. Market value is par outstanding times price, divided by 100.
A bond index holds two bonds: 450 million par priced at 97 and 550 million par priced at 103. The weight of the first bond is closest to:
436.50 ÷ (436.50 + 566.50) = 43.52%
Bond 1: index weight43.52%
- 450×0.97=STO1market value of bond 1
- 550×1.03=STO2market value of bond 2
- RCL1÷(RCL1+RCL2)=weight as a decimal
STO store · RCL recall a stored number
- 450ENTER0.97×STO1market value of bond 1
- 550ENTER1.03×RCL1+total market value
- 1/xRCL1×weight as a decimal
ENTER enter (on the HP, puts the number on the stack) · STO store · RCL recall a stored number · 1/x reciprocal
Try this 0 of 3
- Switch to par weighting and compare Bond Y's weight
- Let months pass until a bond drops out
- Turn on the EUR 250m minimum size and see who leaves
Index weights by market value
3 of 5 bonds are eligible, weighted by market value: Bond X 32.4%, Bond Y 46.8%, Bond Z 20.8%. Excluded: Bond W (below investment grade (BB)); Bond V (under 1 year to maturity). Bond indexes keep changing because bonds keep maturing and being issued.
Show working
Weight of bond i = market value of i ÷ total market value of eligible bonds; market value = par × price ÷ 100
Bond X: 300 × 104.00 ÷ 100 = 312.00
Bond Y: 500 × 90.00 ÷ 100 = 450.00
Bond Z: 200 × 100.00 ÷ 100 = 200.00
Total: 962.00
Bond X: 312.00 ÷ 962.00 = 32.4%
Bond Y: 450.00 ÷ 962.00 = 46.8%
Bond Z: 200.00 ÷ 962.00 = 20.8%
By par instead: X 30.0%, Y 50.0%, Z 20.0%. Par ignores price, so it is the trap answer.
- 300×1.04=312.00, the market value
- ÷962=0.3243, so 32.4%
- 300ENTER1.04×312.00
- 962÷0.3243, so 32.4%
ENTER enter (on the HP, puts the number on the stack)
What kinds of bond index exist?
Aggregate index means a broad index across many sectors and currencies. A typical global aggregate holds fixed-coupon investment-grade bonds of sovereign, government, corporate and securitized issuers in dozens of currencies. It applies a minimum issue size, requires at least one year to maturity, rebalances at each month end and reinvests cash flows at the next rebalancing. High-yield and unrated debt is left out.
Narrow indexes slice the market. The cut can be sector (corporates), credit quality (high yield), maturity (short-term), geography (one country, or emerging-market sovereign debt in US dollars) or an ESG screen.
- Aggregate (broad) Use it many sectors and currencies, investment grade, minimum size, at least 1 year to maturity
- Narrow Use it one slice of the market
- Sector for example corporates only
- Credit quality for example high yield
- Maturity for example short-term
- Geography one country; emerging-market USD sovereigns
- ESG screen minimum ESG rating, excluded activities
-
- Return basis Know the idea for multi-currency indexes
- Unhedged includes currency gains and losses
- Hedged currency effect offset with forwards
-
An ESG screening index applies a minimum ESG rating and excludes certain activities, such as tobacco or thermal coal, on top of the usual rules. A sustainable euro corporate index, for example, keeps only euro investment-grade corporate bonds that pass the screen.
Multi-currency indexes report hedged and unhedged returns . Unhedged returns include currency gains and losses. Hedged returns use currency forwards at each rebalancing date to offset them.
Choose the index that matches the fund. A fund of short-term investment-grade bonds should be judged against a short-term investment-grade index, and a fund that invests in one country against that country’s index.
Go deeper Why governments dominate debt-weighted indexes
Weighting by debt outstanding rewards heavy borrowers. A government that issues more gets a larger weight, so an index can end up with its biggest positions in the most indebted issuers. That criticism is why some investors prefer other weighting schemes. The standard exam answer remains market value of debt.
Go deeper Emerging-market sovereign indexes in US dollars
A narrow index of emerging-market government bonds issued in US dollars usually targets lower credit quality and a minimum issue size. It aims for higher dollar returns than developed-market sovereign bonds, in return for the issuing country’s external-debt risk. It excludes bonds whose payments are linked to an exchange rate.
Memorize this
MemorizeBond index vs equity index
| Equity index | Bond index | |
|---|---|---|
| Constituents | fewer | more (some over 10,000) |
| Turnover | low | high (maturity + new issues) |
| Weight | market cap of equity | market value of debt |
| Replication | full is feasible | representative sample |
| Rebalancing | less often | monthly |
Memory hook More issues, more churn, debt-value weights, sample to track.
Know it cold Weight = par × price ÷ 100, as a share of the total. Weighting by par is the trap.
MemorizeChoose a benchmark that matches the strategy
Memory hook Same slice, same yardstick: short-term investment grade fund, short-term investment grade index.
Know it cold A broad aggregate index excludes high-yield and unrated bonds and bonds under the size or maturity limits.
- Aggregate (broad) Use it many sectors and currencies, investment grade, minimum size, at least 1 year to maturity
- Narrow Use it one slice of the market
- Sector for example corporates only
- Credit quality for example high yield
- Maturity for example short-term
- Geography one country; emerging-market USD sovereigns
- ESG screen minimum ESG rating, excluded activities
-
- Return basis Know the idea for multi-currency indexes
- Unhedged includes currency gains and losses
- Hedged currency effect offset with forwards
-
Quick example
Two bonds: 250m par at 108 and 750m par at 92. Market values 270 and 690, total 960. First bond: 270 ÷ 960 = 28.1% (not 25% by par).
- 250×1.08=STO1
- 750×0.92=STO2
- RCL1÷(RCL1+RCL2)= 0.28125
STO store · RCL recall a stored number
- 250ENTER1.08×STO1
- 750ENTER0.92×RCL1+1/xRCL1× 0.28125
ENTER enter (on the HP, puts the number on the stack) · STO store · RCL recall a stored number · 1/x reciprocal
How it is asked
-
Compare with an equity index
Broad bond index vs broad equity index: constituents and turnover?
More constituents, more turnover. Trap: more constituents but less turnover.
-
Market value weight
GBP 350m par at 106 and GBP 650m par at 88. Weight of the first?
371 ÷ (371 + 572) = 39.3%. Traps: 35.0% (par), 54.6% (price only).
-
Pick the benchmark
Fund holds only investment-grade bonds maturing within three years.
Short-term investment-grade index. Not a global aggregate, not high yield.
-
Why is turnover high
Why do bond indexes turn over more than equity indexes?
Finite maturity plus frequent new issuance, with monthly rebalancing.
Exam traps
- Saying bond indexes have fewer constituents than equity indexes.
- Attributing turnover to infrequent issuance. It is frequent issuance plus finite maturity.
- Weighting by par instead of market value (par × price).
- Expecting a bond index fund to hold every bond. It samples.
Checkpoint
4 exam-style questions. About 90 seconds each.
1Compared with a broad equity index, a broad bond index most likely has:
2A bond index holds two bonds: CHF 400 million par priced at 102 and CHF 600 million par priced at 95. The weight of the first bond is closest to:
3A fund invests only in investment-grade bonds maturing within three years. The most appropriate benchmark is:
4A bond index admits only bonds with at least one year to maturity. One of its bonds now has 11 months left. At the next month-end rebalancing, the bond will most likely:
Key takeaways
- Bond indexes: more constituents, more turnover, weighted by market value of debt.
- Monthly rebalancing adds new issues and drops bonds that no longer qualify.
- Aggregate indexes are broad; narrow indexes cut by sector, rating, maturity, region or ESG.
- Benchmark a fund with an index that matches its strategy.
Quick example
Two bonds: 250m par at 108 and 750m par at 92. Market values 270 and 690, total 960. First bond: 270 ÷ 960 = 28.1% (not 25% by par).
- 250×1.08=STO1
- 750×0.92=STO2
- RCL1÷(RCL1+RCL2)= 0.28125
STO store · RCL recall a stored number
- 250ENTER1.08×STO1
- 750ENTER0.92×RCL1+1/xRCL1× 0.28125
ENTER enter (on the HP, puts the number on the stack) · STO store · RCL recall a stored number · 1/x reciprocal
All Fixed Income formulas, every lesson
Practice exam-style questions on Fixed-Income Issuance and Trading
Questions about this lesson?
Where this comes back
- Basics of Portfolio Planning and Construction Portfolio Construction
Questions candidates ask
How are bond indexes weighted?
Usually by the market value of each bond's debt outstanding, which is price times amount outstanding. Large borrowers such as governments therefore carry the biggest weights.
Why do bond indexes have high turnover?
Bonds mature and issuers keep selling new ones, so the list of eligible bonds changes every month. Bonds that fall below the minimum maturity or rating are removed and new issues are added at each rebalancing.
Why don't bond index funds buy every bond?
There are too many, and many trade rarely, so funds hold a representative sample that matches the index's main characteristics.
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