10.4 Risks of Interest Rates and Default

4 min readjune 18, 2024

Bond risks and characteristics are crucial aspects of fixed-income investing. Understanding these elements helps investors navigate the complexities of the bond market and make informed decisions about their portfolios.

This section covers key bond risks, including interest rate and . It also explores as a measure of interest rate sensitivity, factors affecting , and strategies like to manage risk. Additionally, it delves into , calculations, and other important bond-related concepts.

Bond Risks and Characteristics

Key bond risks

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  • involves the potential for bond prices to change due to fluctuations in market interest rates
    • Bond prices and market interest rates have an inverse relationship
      • Rising market interest rates cause bond prices to decline
      • Falling market interest rates lead to an increase in bond prices
    • The illustrates the relationship between interest rates and bond maturities
  • Default risk, also referred to as , is the possibility that a bond issuer may not fulfill their obligation to make scheduled interest or principal payments
    • Failure to meet these payments results in a default on the bond

Duration for interest rate risk

  • quantifies a bond's sensitivity to changes in market interest rates and is expressed in years
    • Represents the weighted average time required to receive a bond's cash flows
  • is calculated using the formula: t=1nCt(1+y)t×tt=1nCt(1+y)t\frac{\sum_{t=1}^{n} \frac{C_t}{(1+y)^t} \times t}{\sum_{t=1}^{n} \frac{C_t}{(1+y)^t}}
    • CtC_t denotes the cash flow received at time tt
    • yy represents the yield to maturity
    • nn is the number of periods until the bond matures
  • is derived from Macaulay duration using the formula: Macaulay Duration1+y\frac{Macaulay\ Duration}{1 + y}
    • Measures the percentage change in a bond's price given a 1% change in yield
  • Bonds with longer durations exhibit greater sensitivity to interest rate changes and thus carry higher
  • measures the rate of change in a bond's duration as interest rates fluctuate

Factors in bond default risk

  • Issuer's assesses their financial stability and ability to generate sufficient cash flows to service their debt obligations
  • Bond's determines the priority of repayment in the event of default, with senior debt taking precedence over subordinated debt
  • backing a bond can reduce default risk, as secured bonds are backed by specific assets, while unsecured bonds lack this protection
  • impose restrictions on the issuer's activities to safeguard the interests of bondholders
  • Macroeconomic conditions, such as economic recessions, can increase default risk across all bond issuers

Bond laddering strategy

  • is a strategy that involves constructing a portfolio of bonds with varying maturities
  • Helps to diversify interest rate risk by allocating investments across different maturity dates
  • As shorter-term bonds mature, the proceeds are reinvested in longer-term bonds
  • Provides a consistent stream of cash flows and mitigates the impact of interest rate fluctuations on the overall portfolio

Credit ratings for default risk

  • Credit rating agencies, such as Moody's, Standard & Poor's, and Fitch, evaluate the creditworthiness of bond issuers
  • Ratings span from AAA (highest quality) to C or D (default)
    • Investment-grade bonds are rated BBB (S&P) or Baa (Moody's) and above
    • High-yield or "junk" bonds are rated below BBB (S&P) or Baa (Moody's)
  • Lower credit ratings signify higher default risk and generally offer higher yields to compensate investors for the increased risk

Yield to maturity calculation

  • represents the total return earned by holding a bond until it matures
    • Assumes all cash flows are reinvested at the same rate as the YTM
  • YTM is calculated using the bond's current market price, face value, coupon rate, and remaining time to maturity
  • YTM is the discount rate that equates the present value of a bond's future cash flows to its current market price
  • The formula for calculating YTM is: Bond Price=t=1nCt(1+YTM)t+Face Value(1+YTM)nBond\ Price = \sum_{t=1}^{n} \frac{C_t}{(1+YTM)^t} + \frac{Face\ Value}{(1+YTM)^n}
    • YTM is determined through trial and error or by using a financial calculator
  • A higher YTM indicates a higher expected return and typically implies higher risk associated with the bond

Additional Bond Risks

  • : The potential difficulty in selling a bond quickly without incurring significant losses
  • : The possibility that future cash flows from a bond will be reinvested at a lower interest rate
  • : The risk that an issuer will redeem a callable bond before its maturity date, potentially forcing investors to reinvest at lower rates
  • : The potential for the purchasing power of bond interest payments and principal to decrease due to rising inflation

Key Terms to Review (42)

Bond call: A bond call is a feature that allows the issuer to repay and retire its bonds before the maturity date. This is often done when interest rates decline, enabling the issuer to refinance at a lower cost.
Bond Covenants: Bond covenants are legally binding restrictions or requirements placed on a bond issuer by the bond holder. They are designed to protect the bond holder's interests and ensure the issuer maintains a certain level of financial health and operations to meet their debt obligations.
Bond laddering: Bond laddering is an investment strategy that involves purchasing bonds with different maturity dates to spread out interest rate risk and reinvestment opportunities. It aims to provide a steady stream of income and reduce the impact of fluctuating interest rates.
Bond Laddering: Bond laddering is an investment strategy that involves building a portfolio of bonds with staggered maturity dates. This approach aims to manage interest rate risk and provide a steady stream of income over time by creating a diversified bond portfolio that matures at regular intervals.
Bond ratings: Bond ratings are evaluations of the creditworthiness of a corporation's or government's debt issues. These ratings are provided by agencies and reflect the risk of default associated with the bond.
Call risk: Call risk is the risk that a bond may be redeemed by the issuer before its maturity date, typically when interest rates fall. This results in the bondholder receiving their principal back earlier than expected and potentially reinvesting at lower interest rates.
Call Risk: Call risk refers to the risk that a bond issuer will redeem or 'call' a bond before its maturity date, forcing the bondholder to reinvest the principal at potentially less favorable interest rates. This risk is particularly relevant in the context of interest rate and default risks, as changes in market conditions can trigger a bond call.
Capital gains: Capital gains are the profits realized from the sale of an asset when its selling price exceeds its purchase price. In finance, these can be crucial in understanding the returns on investments such as bonds and stocks.
Carnival Cruises: Carnival Cruises is a global cruise line operator known for offering leisure travel services. It raises capital through various financial instruments, including bonds, making it relevant in finance studies.
Collateral: Collateral refers to an asset or property that a borrower pledges to a lender as security for a loan. It serves as a guarantee that the borrower will repay the loan, and if they fail to do so, the lender has the right to seize the collateral to recoup their losses.
Convexity: Convexity is a measure of the curvature of a bond's price-yield relationship. It describes the degree to which the price of a bond changes as its yield changes, with a higher convexity indicating a more pronounced curvature and greater sensitivity to yield fluctuations.
Credit Ratings: Credit ratings are assessments of the creditworthiness of individuals, organizations, or financial instruments. They provide a measure of the likelihood that a borrower will repay their debt obligations in a timely manner. Credit ratings are an important factor in the Risks of Interest Rates and Default, as they directly impact the interest rates and default risk associated with various financial instruments.
Credit risk: Credit risk is the possibility of a borrower failing to repay a loan or meet contractual obligations. It affects lenders and investors as it impacts the expected returns on investments involving debt instruments.
Credit Risk: Credit risk is the risk of loss arising from a borrower's failure to repay a loan or meet contractual obligations. It is a fundamental consideration in the context of bonds, trade credit, and receivables management, as it can significantly impact the value and performance of these financial instruments and transactions.
Creditworthiness: Creditworthiness is a measure of an individual or entity's ability to repay debt and meet financial obligations. It is a critical factor in determining the risk associated with lending and is a key consideration for lenders when evaluating loan applications or extending credit.
Default risk: Default risk is the possibility that a bond issuer will fail to make required payments of interest or principal. This risk can affect the bond's value and the return expected by investors.
Default Risk: Default risk is the risk that a borrower will be unable to make the required payments on a debt obligation, resulting in a default. It is a critical consideration in the pricing and management of various financial instruments, particularly bonds and loans.
Delta Airlines: Delta Airlines is a major American airline headquartered in Atlanta, Georgia. It operates an extensive domestic and international network, serving over 300 destinations in more than 50 countries.
Duration: Duration measures the sensitivity of a bond's price to changes in interest rates. It is expressed in years and indicates how long it takes for the price of a bond to be repaid by its internal cash flows.
Duration: Duration is a measure of the sensitivity of a bond's price to changes in interest rates. It represents the weighted average time to the receipt of all future cash flows from a bond, including the return of principal. Duration is a crucial concept in understanding the characteristics of bonds, their valuation, the yield curve, interest rate risks, and the historical returns of bonds.
Duration risk: Duration risk is the risk associated with the sensitivity of a bond's price to changes in interest rates. It measures how much the price of a bond is likely to fluctuate when there are changes in market interest rates.
Fixed-income securities: Fixed-income securities are financial instruments that provide regular, fixed interest payments and return the principal upon maturity. Common examples include bonds and treasury bills.
Inflation Risk: Inflation risk is the uncertainty associated with the purchasing power of a currency, specifically the risk that the real value of an investment, asset, or income will decrease due to the rise in the general price level of goods and services in an economy over time. This risk is particularly relevant when considering fixed-income investments and the impact of rising prices on their real returns.
Interest rate risk: Interest rate risk is the potential for investment losses due to fluctuations in interest rates. It primarily affects bonds and other fixed-income securities, as their values are inversely related to interest rate changes.
Interest Rate Risk: Interest rate risk refers to the potential for financial losses due to changes in the prevailing market interest rates. It is a critical concept in the context of various financial topics, including bond characteristics, bond valuation, yield curve analysis, interest rate and default risks, performance measurement, optimal capital structure, and interest rate risk management.
Investment grade: Investment grade refers to bonds that are rated at BBB- or higher by Standard & Poor's or Baa3 or higher by Moody's. These bonds are considered to have a lower risk of default, making them suitable for conservative investors.
Liquidity risk: Liquidity risk is the risk that an investor will not be able to buy or sell a bond quickly enough in the market to prevent or minimize a loss. It arises when there is insufficient market demand for selling the asset at its current value.
Liquidity Risk: Liquidity risk is the risk that an asset or security cannot be converted into cash quickly enough to meet financial obligations. It is the risk of being unable to sell an asset or security at its fair market value due to a lack of buyers in the market.
Macaulay Duration: Macaulay duration is a measure of the sensitivity of a bond's price to changes in interest rates. It represents the weighted average time it takes for an investor to receive the present value of all the bond's cash flows, including both interest payments and the repayment of principal. Macaulay duration is a key concept in understanding the risks associated with interest rates and default for fixed-income securities.
Modified Duration: Modified duration is a measure of the sensitivity of a bond's price to changes in interest rates. It represents the approximate percentage change in a bond's price for a 1% change in yield, taking into account the time value of money and the bond's coupon payments.
Occidental Petroleum: Occidental Petroleum is a large international oil and gas exploration and production company headquartered in Houston, Texas. It is also involved in chemical manufacturing and other energy-related activities.
Rating agencies (bond rating services): Rating agencies (bond rating services) are organizations that assess the creditworthiness of issuers of bonds and assign ratings that reflect the likelihood of default. These ratings help investors evaluate the risk associated with investing in a particular bond.
Realized return: Realized return is the actual gain or loss an investor experiences on an investment over a specific period. It includes income from interest or dividends plus any capital gains or losses realized during the holding period.
Reinvestment risk: Reinvestment risk is the possibility that an investor will not be able to reinvest cash flows from an investment at a rate comparable to the original investment's rate of return. This risk is particularly significant for bonds and fixed-income securities when interest rates decline.
Reinvestment Risk: Reinvestment risk is the risk that an investor will be unable to reinvest cash flows from a security, such as interest payments or principal repayments, at a rate of return that is equal to or higher than the original investment. This risk is particularly relevant in the context of interest rate fluctuations and the potential for default on debt obligations.
Seniority: Seniority refers to the length of time an employee has been with a company or in a particular role. It is a measure of an individual's experience and status within an organization, often used to determine factors like compensation, job security, and advancement opportunities.
T-Mobil: T-Mobile is a major telecommunications company that provides wireless voice, messaging, and data services. It operates in multiple countries and is known for its aggressive marketing and innovative service plans.
Term risk: Term risk refers to the potential for bond prices to fluctuate due to changes in interest rates over time. Longer-term bonds are generally more sensitive to interest rate changes, increasing the term risk.
Yield curve: The yield curve is a graphical representation of the interest rates on debt for a range of maturities. It shows the relationship between short-term and long-term bond yields issued by the same entity.
Yield Curve: The yield curve is a graphical representation of the relationship between the yield (or interest rate) and the maturity of a set of similar debt instruments, typically government bonds. It provides a visual depiction of the term structure of interest rates, reflecting the market's expectations about future interest rates and economic conditions.
Yield to Maturity: Yield to maturity (YTM) is the total return anticipated on a bond if the bond is held until it matures. It is the discount rate that makes the present value of all future coupon payments and the bond's par value at maturity equal to the bond's current market price. YTM is a key concept in understanding the time value of money, bond characteristics, bond valuation, interest rate risks, and the cost of capital.
Yield to maturity (YTM): Yield to maturity (YTM) is the total return anticipated on a bond if the bond is held until it matures. It is expressed as an annual percentage rate and takes into account the bond's current market price, par value, coupon interest rate, and time to maturity.
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