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INSTRUMENTS

Fixed Income

Bonds are loans with a price, and that price moves inversely to yield.

This category explains the whole chain, across the explainers on bond basics, coupon versus yield, yield to maturity, call, and worst, the price-yield relationship, and the duration family from Macaulay through modified to effective duration.

Convexity, credit quality, and the main instrument types extend the set.

Investing With Purpose keeps the math tethered to intuition, so you grasp why a given bond reprices when rates shift and by how much.

Whether you are sizing rate risk or comparing two credits, this is where the mechanics of fixed income become something you can use rather than memorize.

Fixed Income
Bond Basics: How Fixed-Income Securities Work

A bond is a loan packaged as a tradable security. The buyer lends money to the issuer, and the issuer promises to pay…

Beginner
Fixed Income
Coupon Rate vs Yield: Key Differences Explained

The coupon rate is the fixed interest payment a bond promises. The yield is the actual return a buyer earns given the…

Beginner
Fixed Income
Current Yield: Bond Income as a Percent of Price

Current yield is a bond's annual coupon income divided by its current market price. It is the simplest yield measure in…

Beginner
Fixed Income
Credit Ratings: S&P, Moody's, and Fitch Scales

A credit rating is a letter grade that summarizes an agency's opinion of how likely a bond issuer is to default on its…

Beginner
Fixed Income
Investment Grade vs High Yield Bonds: Key Differences

Investment grade and high yield are the two halves of the corporate bond market, split at the BBB- / Baa3 threshold.…

Beginner
Fixed Income
Treasury Bills, Notes, and Bonds: How US Debt Works

US Treasury securities are debt obligations of the federal government, split into three maturity buckets: bills (one…

Beginner
Fixed Income
TIPS: Treasury Inflation-Protected Securities Explained

TIPS are US Treasury securities whose principal adjusts up and down with the Consumer Price Index. They pay a fixed…

Beginner
Fixed Income
Municipal Bonds: Tax Advantages and How They Work

Municipal bonds, or munis, are debt securities issued by states, cities, counties, and related agencies to finance…

Beginner
Fixed Income
Bond Ladder Strategy: Staggered Maturities Explained

A bond ladder is a portfolio of individual bonds with maturities staggered at regular intervals. As each rung matures,…

Beginner
Fixed Income
Bond Barbell and Bullet Strategies Compared

A barbell splits your bond holdings between short and long maturities and avoids the middle. A bullet concentrates…

Beginner
Fixed Income
Accrued Interest: Clean vs Dirty Bond Prices

Accrued interest is the interest a bond has earned since its last coupon payment but has not yet paid out. When you buy…

Beginner
Fixed Income
Yield to Maturity (YTM): Definition and Calculation

Yield to maturity is the single discount rate that equates a bond's future cash flows to its current price, assuming…

Intermediate
Fixed Income
Yield to Call: How to Measure Callable Bond Returns

Yield to call is the return a buyer earns on a callable bond assuming the issuer redeems it at the first available call…

Intermediate
Fixed Income
Yield to Worst: The Conservative Bond Return Measure

Yield to worst is the lowest yield an investor can receive on a bond across all possible scenarios short of default.…

Intermediate
Fixed Income
Bond Price-Yield Inverse Relationship Explained

When market yields rise, bond prices fall. When yields fall, bond prices rise. The relationship is mechanical, not…

Intermediate
Fixed Income
Macaulay Duration: Weighted Average Time to Cash Flows

Macaulay duration is the present-value-weighted average time until a bond's cash flows are received. It is measured in…

Intermediate
Fixed Income
Modified Duration: Measuring Bond Price Sensitivity

Modified duration is the percentage price change a bond will experience for a small change in its yield. It is the…

Intermediate
Fixed Income
Effective Duration for Bonds with Embedded Options

Effective duration measures how much a bond's price changes when the whole yield curve shifts, and unlike modified…

Intermediate
Fixed Income
Bond Convexity: The Curvature in Price-Yield Relationships

Convexity is the curvature in the price-yield relationship of a bond. It is the second-order correction to duration,…

Intermediate
Fixed Income
Key-Rate Duration: Measuring Yield Curve Shape Risk

Key-rate duration measures how much a bond or portfolio moves when a single point on the yield curve shifts while every…

Intermediate
Fixed Income
Corporate Bonds: Credit Spreads, Seniority, and Risk

A corporate bond is a debt security issued by a company to raise capital. You lend the company money, and in return the…

Intermediate
Fixed Income
Agency Bonds: GSEs, Guarantees, and Yield Spreads

Agency bonds are debt securities issued by US federal agencies and government-sponsored enterprises. They sit between…

Intermediate
Fixed Income
Mortgage-Backed Securities (MBS): Prepayment and Risk

A mortgage-backed security is a bond whose cash flows come from a pool of residential mortgage loans. Homeowners pay…

Intermediate
Fixed Income
Callable Bonds: How Issuer Redemption Rights Work

A callable bond gives the issuer the right, but not the obligation, to redeem the bond before its stated maturity at a…

Intermediate
Fixed Income
Convertible Bonds: Hybrid Debt with Equity Upside

A convertible bond is a corporate bond that gives the holder the right to exchange the bond for a predetermined number…

Intermediate
Fixed Income
Steepener and Flattener Trades: Yield Curve Slope

A steepener and a flattener are paired-leg trades that profit from changes in the slope of the yield curve, not the…

Advanced
Fixed Income
2s5s10s Butterfly Trade: Yield Curve Curvature

A 2s5s10s butterfly is a three-leg rates trade that isolates curvature. It profits when the middle of the curve (the…

Advanced
Fixed Income
Carry and Roll-Down: Static Bond Return Components

Carry and roll-down are the two return components a bond earns purely from the passage of time, assuming yields do not…

Advanced
Fixed Income
Collateralized Loan Obligations (CLOs): Structure and Risk

A collateralized loan obligation, or CLO, is a securitization backed by a managed pool of leveraged corporate loans.…

Advanced
Fixed Income
Asset-Backed Securities (ABS): Structure and Sectors

Asset-backed securities are bonds backed by pools of consumer or commercial receivables such as auto loans, credit card…

Advanced
Fixed Income
Covered Bonds: Dual Recourse and the Cover Pool

A covered bond is a debt instrument issued by a bank and secured by a ring-fenced pool of high-quality assets that…

Advanced
Fixed Income
TED Spread and LIBOR-OIS: Measuring Interbank Stress

The TED spread and LIBOR-OIS spread were the two most-watched gauges of interbank funding stress from the 1980s until…

Advanced
Fixed Income
CDS Index Basis Trade: Harvesting Spread Dislocations

A CDS index basis trade is a relative-value position that profits when the spread on a credit default swap index…

Advanced
Fixed Income
Credit Curve Steepener: Trading CDS Spread Shape

A credit curve steepener is a paired-leg trade on the same issuer that profits when the spread between long-dated and…

Advanced
Fixed Income
CVaR for Credit Portfolios: Tail Risk Measurement

CVaR, also called Conditional Value at Risk or Expected Shortfall, measures the average loss of a credit portfolio in…

Advanced
Fixed Income
Credit Long/Short Strategy: Spread Trades Explained

Credit long/short is a hedge fund strategy that buys undervalued corporate debt and shorts overvalued debt, usually…

Advanced
Fixed Income
Recovery Rate Modeling: LGD, Seniority, and Cycles

A recovery rate is the share of a defaulted bond's face value that creditors eventually receive through restructuring,…

Advanced
Fixed Income
Credit Transition Matrix: Rating Migration Probabilities

A credit transition matrix is a table that shows the probability that an issuer rated in one category at the start of a…

Advanced
Fixed Income
Distressed Debt Trading: Fulcrum Security and Returns

Distressed debt trading means buying the bonds or loans of companies in or near bankruptcy, often at 40 to 60 cents on…

Advanced
Fixed Income
Moody's Rating Methodology: Scorecard and Notching

Moody's corporate rating methodology is a sector-specific framework that combines a scorecard of business and financial…

Advanced
Fixed Income
S&P Ratings Criteria: Business Risk, Financial Risk

S&P Global Ratings uses a two-stage framework to rate corporate issuers: a Business Risk Profile and a Financial Risk…

Advanced
Fixed Income
Fitch Ratings Framework: IDR, Navigator, and Recovery

Fitch Ratings produces corporate credit ratings through a sector-specific Master Criteria document backed by a visual…

Advanced
Fixed Income
NRSRO Designation: Registration and Post-2008 Reform

An NRSRO is a credit rating agency registered with the U.S. Securities and Exchange Commission under the Credit Rating…

Advanced
Fixed Income
Rating Agency Conflicts: Issuer-Pays and Dodd-Frank

The main conflict of interest in credit ratings is the issuer-pays model: the entity being rated hires and pays the…

Advanced
Fixed Income
Municipal Bond Analysis: Credit, TEY, and Structure

Municipal bond analysis is the process of valuing tax-exempt debt issued by US states, cities, counties, and…

Advanced
Fixed Income
Agency MBS TBA Market: Forward Trading and Dollar Rolls

The TBA (To-Be-Announced) market is the forward market for Fannie Mae, Freddie Mac, and Ginnie Mae mortgage-backed…

Advanced
Fixed Income
Ginnie Mae MBS: FHA/VA Pools and Full-Faith Guarantee

Ginnie Mae MBS are mortgage-backed securities guaranteed by the Government National Mortgage Association, a wholly…

Advanced
Fixed Income
CMBS Commercial Mortgage: Structure, Waterfall, and Risk

A commercial mortgage-backed security (CMBS) is a bond backed by a pool of loans on income-producing commercial real…

Advanced
Fixed Income
CLO Collateralized Loan Obligation: Structure and Tests

A CLO is an actively managed securitization of leveraged loans. It takes a 500-million to 1-billion dollar pool of…

Advanced
Fixed Income
CDS Credit Default Swap: Premium, Settlement, and Basis

A credit default swap (CDS) is a bilateral contract that pays the protection buyer if a reference entity experiences a…

Advanced
Fixed Income
CDX Index: IG and HY Credit Benchmarks Explained

The CDX family is a set of tradable credit default swap indices covering North American corporate credit. The two…

Advanced
Fixed Income
Sovereign CDS: MMR, Credit Events, and Pricing

Sovereign credit default swaps reference the debt of a national government rather than a corporate issuer. They trade…

Advanced