After reading this lecture you should be able to:
These objectives come directly from the first chapter of Fabozzi’s text and frame the topics covered in this lecture.
A bond is a debt instrument requiring the issuer (the borrower) to repay the amount borrowed plus interest over a specified period of time. In the simplest “plain vanilla” bond the issuer promises a fixed series of cash flows: periodic coupon payments and the repayment of principal at maturity. Because the cash flow pattern is known up front (assuming the issuer does not default or redeem the bond early), an investor who holds the bond until the maturity date is assured of receiving a predetermined sequence of payments.
Two contractual elements determine a bond’s cash flow pattern:
The maturity date is the date when the principal is repaid. Traditional fixed‑rate bonds promise equal coupon payments over the life of the bond. Zero‑coupon bonds make no periodic interest payments; instead they are sold at a discount and repay the principal at maturity.
Worked Example 1 – Coupon calculation
Suppose a bond has a principal of $1 000 and a coupon rate of 5 %. The annual coupon payment is simply (0.05×1 000=50). If coupons are paid semi‑annually, the investor receives $25 every six months. This illustrates how the coupon rate and principal determine the bond’s cash flow pattern.
The term to maturity is the number of years over which the issuer must meet its obligations. Bonds with maturity of 1–5 years are called short‑term, those with 5–12 years are intermediate‑term, and bonds with more than 12 years are long‑term. Maturity matters because:
Worked Example 2 – Classifying maturities
Classify the following bonds by maturity:
| Bond | Maturity | Classification |
|---|---|---|
| X | 2 years | Short‑term |
| Y | 8 years | Intermediate‑term |
| Z | 25 years | Long‑term |
These classifications follow the conventions in the textbook.
Most bonds have a fixed coupon rate; however the bond market also includes floating‑rate bonds in which the coupon resets periodically based on a reference rate plus a quoted margin. For example, a floating‑rate bond might pay 1‑month LIBOR plus 150 basis points (1.5 %). LIBOR is the London Interbank Offered Rate, an interbank lending rate reported for several currencies. If 1‑month LIBOR is 3.5 % and the quoted margin is 1.5 %, the coupon for that period resets at 5.0 %.
Inverse floating‑rate bonds move in the opposite direction: the coupon falls when reference rates rise and vice versa. Deferred‑coupon bonds allow the issuer to avoid cash outflows for a specified period; examples include deferred‑interest bonds, step‑up bonds and payment‑in‑kind bonds. These structures were used to accommodate leveraged buyouts in the 1980s.
In a non‑amortizing bond the entire principal is repaid at maturity. Amortizing securities, by contrast, repay principal over time according to an amortization schedule. Mortgage‑backed and asset‑backed securities are examples. For amortizing bonds investors often compute the weighted average life to measure the effective maturity.
Many bonds include options that allow either the issuer or the bondholder to alter the cash flow pattern. Embedded options complicate valuation because the timing and amount of cash flows depend on future interest rates. Common options include:
Some securities contain multiple embedded options (e.g., a callable, putable, convertible bond). These features must be valued using option‑pricing techniques, which are covered in later lectures.
A convertible bond allows the bondholder to exchange the bond for a predetermined number of the issuer’s common shares. An exchangeable bond allows exchange for shares of a company other than the issuer. These bonds provide upside exposure to stock price appreciation while retaining bond‑like features.
With hundreds of thousands of bonds outstanding, securities need unique identifiers. In the U.S. the CUSIP (Committee on Uniform Security Identification Procedures) assigns a nine‑character code identifying the issuer and issue. Debt issues covered include Treasuries, municipals, corporates, mortgage‑backed, asset‑backed and commercial paper. Market participants often identify a bond by its issuer, coupon and maturity (e.g., Alcoa 5.95s 2/1/2037).
Beginning in the early 1980s a wide range of new bond structures was introduced. The residential mortgage market saw the development of mortgage pass‑through securities, where pools of individual mortgages are securitized and cash flows are passed through to investors. From these basic instruments issuers created derivative securities such as collateralized mortgage obligations (CMOs) and stripped mortgage‑backed securities to meet the investment needs of a broader range of institutional investors.
The U.S. bond market – the world’s largest – is divided into six primary sectors:
| Sector | Description |
|---|---|
| U.S. Treasury | Bonds, notes and bills issued by the U.S. government. Treasuries serve as benchmarks for valuation and interest rates globally. |
| Agency | Debenture securities issued by federally related institutions and government‑sponsored enterprises. These are unsecured and constitute the smallest sector. |
| Municipal | Bonds issued by states, cities and local authorities. Divided into tax‑exempt and taxable subsectors. Structures include tax‑backed bonds and revenue bonds. |
| Corporate | Debt issued by U.S. corporations and non‑U.S. corporations in the U.S. market. Instruments include bonds, medium‑term notes, structured notes and commercial paper. Corporates are categorized as investment‑grade or non‑investment‑grade based on credit ratings. |
| Asset‑backed securities (ABS) | Securities backed by pools of loans or receivables such as auto loans, credit‑card receivables and music royalties. Issuers include captive finance subsidiaries of corporations; unusual ABS include “Bowie bonds” backed by music royalties. |
| Mortgage | Securities backed by mortgage loans on residential or commercial properties. The mortgage sector is subdivided into residential and commercial mortgages, with further distinctions between agency and non‑agency mortgage‑backed securities and between loans to prime and subprime borrowers. |
These sectors span a wide range of issuers and structures. For instance, the municipal sector splits into tax‑exempt and taxable subsectors, with tax‑exempt bonds historically dominating. The corporate sector is divided into investment‑grade and high‑yield (non‑investment‑grade) segments based on third‑party credit ratings. In the mortgage sector, agency mortgage‑backed securities are backed by Ginnie Mae, Fannie Mae or Freddie Mac, whereas non‑agency securities are backed by private issuers.
The asset‑backed securities sector pools loans or receivables and uses the asset pool as collateral. Captive finance companies (subsidiaries of manufacturers that finance customer purchases) are common issuers; examples include Ford Motor Credit and Caterpillar Financial. Even performing artists have issued ABS backed by future royalties.
The residential mortgage sector includes loans for one‑ to four‑family homes. Loans are classified by borrower credit quality (prime or subprime) and by whether they conform to underwriting standards of a federal agency or government‑sponsored enterprise. Agency mortgage‑backed securities (MBS) are backed by Ginnie Mae, Fannie Mae or Freddie Mac; non‑agency MBS are issued by private entities and further subdivided into prime and subprime sectors.
The commercial mortgage sector backs securities with loans on income‑producing properties such as office buildings, shopping malls, hotels and healthcare facilities.
Retail and institutional investors can gain exposure to the bond market through pooled investment vehicles such as investment company shares, exchange‑traded funds, hedge funds and real estate investment trusts. These vehicles offer diversification, liquidity and professional management, making them an attractive alternative to purchasing individual bonds.
Beyond the U.S. market, the textbook discusses non‑U.S. bond markets including the Eurobond market and various national markets. These markets will be explored in later lectures.
Fixed‑income investing involves numerous risks. Fabozzi lists nine key risks. Understanding these risks is essential for effective portfolio construction and risk control.
Bond prices move inversely with changes in market interest rates: when rates rise, bond prices fall, and vice versa. If an investor must sell before maturity, rising rates may lead to capital losses. The price sensitivity to rate changes depends on factors such as maturity, coupon and embedded options.
Yield calculations assume that coupon payments are reinvested at the same rate. Reinvestment risk is the risk that the actual reinvestment rate will be lower than expected. Reinvestment risk is greater for high‑coupon bonds and longer holding periods. Interest‑rate risk and reinvestment risk offset each other; strategies such as immunization exploit this offset.
A call provision allows the issuer to retire (call) the bond before maturity. Investors face three disadvantages:
Credit risk refers to the possibility that the issuer fails to meet its contractual obligations. It has three components:
Credit ratings assigned by agencies (e.g., Moody’s, S&P, Fitch) help investors gauge default risk. Investors are also exposed to counterparty risk, the risk that the counterparty in a transaction fails to meet its obligations. For example, leveraged purchases of bonds or trades in over‑the‑counter derivatives expose investors to counterparty default risk.
The real value of future cash flows depends on inflation. Inflation risk arises when the purchasing power of a bond’s cash flows declines due to rising prices. Floating‑rate bonds tied to inflation (also called linkers) reduce inflation risk.
For bonds denominated in a foreign currency, the investor’s return depends on exchange rates. If the foreign currency depreciates relative to the investor’s home currency, the value of the cash flows declines.
Liquidity risk reflects the ease with which a bond can be sold at a reasonable price. A wider bid–ask spread signals higher liquidity risk. While retail investors planning to hold to maturity may ignore liquidity risk, institutional investors must mark portfolios to market and therefore require market prices based on sufficient trading volume.
For bonds with embedded options, price depends on both interest rates and the expected volatility of rates. Greater expected volatility increases the value of the option. For callable bonds and mortgage‑backed securities the price tends to decrease when volatility rises because the option given to the issuer becomes more valuable. Volatility risk is often quantified using vega from option pricing theory.
Fabozzi introduces risk risk, defined as the risk of not understanding the risks inherent in a security. Investors mitigate risk risk by staying informed about analytical techniques and avoiding securities they do not understand. Although complex securities may offer higher returns, thorough analysis is essential.
After a bond is issued in the primary market, it can be bought and sold in the secondary market. Secondary trading provides liquidity and allows investors to adjust portfolios in response to changing market conditions. Liquidity varies across sectors: Treasury securities trade heavily, while certain municipals or high‑yield corporates may trade infrequently. The presence of active secondary markets is crucial for price discovery and portfolio valuation.
Worked Example 3 – Pricing a zero‑coupon bond
Consider a zero‑coupon bond with a face value of $1 000 and 3 years to maturity. The yield (discount rate) is 4 %. Because there are no coupon payments, the price is simply the present value of the principal:
\[ P = \frac{F}{(1+r)^T} = \frac{1000}{(1.04)^3} \approx \$889.00 . \]
This example illustrates the use of the bond pricing formula for zero‑coupon securities.
Worked Example 4 – Floating‑rate coupon reset
A floating‑rate bond pays 1‑month LIBOR + 150 basis points. On the reset date LIBOR is 3.75 %. The coupon for the next period resets to:
\[ \text{Coupon} = 3.75\% + 1.50\% = 5.25\% . \]
If the bond’s face value is $1 000 and coupons are paid quarterly, the next coupon payment will be \[ \frac{5.25\%}{4} \times 1000 = 13.125 . \]
This demonstrates how the reference rate and quoted margin determine floating‑rate coupons.
Worked Example 5 – Evaluating call risk
Suppose a callable bond can be redeemed at $1 050 after two years. The bond has a coupon rate of 6 % and face value $1 000. If market interest rates fall to 4 %, the price of a comparable noncallable bond may rise to $1 100. However, the issuer is likely to call the bond at $1 050 to refinance at the lower rate. Investors therefore cannot benefit fully from price appreciation and face reinvestment at lower yields.
Worked Example 6 – Credit spread risk
Consider a corporate bond yielding 5 % when a comparable Treasury yields 3 %. The credit spread is 2 % (200 basis points). If economic conditions deteriorate, the spread may widen to 3 %, causing the corporate bond’s price to fall. Investors exposed to credit spread risk must monitor factors affecting the issuer’s credit quality.
This lecture introduced the fundamental features of bonds, including principal, coupons and term to maturity. We examined innovations in bond structures and surveyed the six sectors of the U.S. bond market, noting important distinctions among Treasuries, agencies, municipals, corporates, asset‑backed securities and mortgages. We also explored the major risks faced by bond investors—interest‑rate, reinvestment, call, credit (including counterparty), inflation, exchange‑rate, liquidity, volatility and risk risk—and discussed how embedded options and amortization features affect valuation. Understanding these concepts provides a foundation for analyzing and investing in fixed‑income securities, which we will build upon in subsequent lectures.