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Bonds and Fixed Income

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Investment Risk and ReturnTime Value of Money+2 more→→Bond Investing BasicsIndex Fund Investing
bonds fixed-income yield duration interest-rate-risk

Core Idea

A bond is a debt instrument: the issuer borrows money, promises to pay periodic coupon interest, and repays principal at maturity. Bond prices and interest rates move inversely — when prevailing rates rise, existing bonds with lower coupons become less valuable. Duration measures a bond's price sensitivity to rate changes. Government bonds (Treasuries) carry minimal default risk; corporate and municipal bonds carry varying credit risk and pay higher yields as compensation. Bonds provide portfolio stability and income, serving as a counterweight to equity volatility.

How It's Best Learned

Model a simple bond: price it at par, then recalculate its price if prevailing rates rise by 2%. Understanding this inverse relationship numerically makes the abstract principle concrete. Then look up current yield curves to see how real bond markets price different maturities.

Common Misconceptions

Explainer

You already understand from your study of risk and return that higher potential reward comes with higher risk, and that the time value of money means a dollar today is worth more than a dollar in the future. Bonds apply both concepts directly. When a government or corporation needs to borrow money, it can issue a bond: a formal promise to pay you a fixed amount periodically (the coupon) and return your principal (the face value or par value) at a specified future date (the maturity date). In exchange for lending your money today, you receive a predictable income stream over time.

The most important principle in bond investing is the inverse relationship between bond prices and interest rates. Here is the intuition: suppose you hold a bond paying 3% annually and market rates rise to 5%. Your bond suddenly looks unattractive — new bonds pay more. For anyone to want your 3% bond, they would only buy it at a discount, so its price falls. The reverse is also true: if market rates fall to 1%, your 3% bond looks very attractive, and its price rises above par. This relationship is not optional or situational — it is an arithmetic identity. Duration measures how sensitive a bond's price is to rate changes; a bond with a 10-year duration loses roughly 10% of its price for each 1% rise in rates. Longer-maturity bonds have higher duration and therefore more interest rate risk.

Not all bonds carry the same credit risk — the chance the issuer defaults and fails to repay. U.S. Treasury bonds are considered essentially risk-free (the government can print currency); investment-grade corporate bonds carry modest credit risk; high-yield ("junk") bonds carry substantial default risk. The market compensates you for taking credit risk by offering higher yields. This is the same risk-return tradeoff you studied in investment fundamentals, applied to lending rather than owning. Ratings agencies (Moody's, S&P) provide letter grades to help investors assess credit risk, though these ratings have limitations.

Bonds serve a specific portfolio role: they tend to be less volatile than stocks and often move in the opposite direction during equity downturns, since investors flee to safer assets during market stress. This negative correlation is what makes bonds valuable as a portfolio stabilizer. A common rule of thumb is to hold a percentage of bonds roughly equal to your age, shifting gradually from growth-oriented stocks to income-oriented bonds as you approach retirement and can afford less volatility. Understanding the bond-rate inverse relationship is the key mental model — it explains why bond prices fell sharply in 2022 when interest rates rose rapidly, even though bonds are considered "safe."

Practice Questions 5 questions

Prerequisite Chain

Understanding Zero → The Number Zero → Counting to Five → Counting to 10 → Counting to 20 → Counting a Set of Objects Up to 20 → Cardinality: The Last Number Counted → Matching Numerals to Quantities → Subitizing Small Quantities → Addition Within 10 → Number Bonds to 10 → Addition Within 20 → Doubles and Near Doubles → Doubles Facts Within 10 → Near Doubles Facts Within 20 → Mental Math Strategies for Addition → Mental Math: Adding and Subtracting Tens → Addition Within 100 → Repeated Addition as Multiplication → Multiplication as Equal Groups → Multiplication: Arrays → Basic Multiplication Facts (0s, 1s, 2s, 5s, 10s) → Multiplication Facts Within 100 → Division as Equal Sharing → Division as Grouping (Measurement Division) → Division: Grouping (Repeated Subtraction) Model → Division: Fair Sharing Model → Division as Equal Sharing → Division as Grouping → Basic Division Facts → Division Facts Within 100 → Multiplication and Division Fact Families → Relationship Between Multiplication and Division → Division Facts as Inverse of Multiplication → Remainders and Quotients in Division → Division Word Problems → Multi-Step Word Problems → Solving Multi-Step Word Problems → Multiplication Word Problems → Division Word Problems → Introduction to Long Division → Factors and Multiples → Prime and Composite Numbers → Equivalent Fractions → Relating Fractions and Decimals → Decimal Place Value → Integers and the Number Line → Comparing and Ordering Integers → Absolute Value → Adding Integers → Subtracting Integers → Multiplying Integers → Dividing Integers → Unit Rates → Proportions → Percent Concept → Converting Between Fractions, Decimals, and Percents → Operations with Rational Numbers → Two-Step Equations → Solving Multi-Step Equations → Equations with Variables on Both Sides → Angle Pairs: Complementary, Supplementary, and Vertical → Parallel Lines and Transversals → Corresponding Angles → Alternate Interior Angles → Triangle Angle Sum Theorem → Exterior Angle Theorem → Triangle Inequality Theorem → Similar Triangles: AA Similarity → Similar Triangles: SSS and SAS Similarity → Proportions in Similar Triangles → Right Triangle Trigonometry Introduction → Sine, Cosine, and Tangent Ratios → Trigonometric Ratios Review → Radian Measure → Converting Between Degrees and Radians → The Unit Circle → Graphing Sine and Cosine → Graphing Tangent and Reciprocal Trigonometric Functions → Derivatives of Trigonometric Functions → Antiderivatives → Indefinite Integrals → Basic Integration Rules → Riemann Sums → Definite Integral Definition → Probability Density Functions and Continuous Distributions → Cumulative Distribution Functions → Continuous Random Variables → Probability Density Functions → Expected Value → Variance and Standard Deviation of Random Variables → Investment Risk and Return → Bonds and Fixed Income

Longest path: 93 steps · 469 total prerequisite topics

Prerequisites (4)

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