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Home › Fixed-Income Investing › Basics

How Does the Time to Maturity Affect the Bond Price?

January 17, 2025 · Ahmad Nasrudin

How Does the Time to Maturity Affect the Bond Price

Contents

  • Understanding bond price fluctuations
  • The “Pull to Par” phenomenon
  • Premium bonds: A closer look
  • Discount bonds: A closer look
  • Key Takeaway
  • LEARN MORE

Bond price has a dynamic relationship with its time to maturity. As a fixed-income investor, you’ve likely observed how the value of your bond holdings can fluctuate over time, influenced by various factors. One of the most significant determinants of these price movements is the time remaining until the bond matures. This exploration will delve into this key driver, examining how the time to maturity significantly influences a bond’s price and sensitivity to interest rate changes. We’ll investigate how this relationship plays out for different types of bonds, ultimately revealing a fundamental principle in bond investing.

Understanding bond price fluctuations

As a fixed-income investor, you’ve undoubtedly observed the dynamic nature of bond prices. They don’t remain static; they fluctuate over time, influenced by various factors. These factors include changes in interest rates, credit quality, inflation expectations, and economic conditions.

One of the most significant factors impacting a bond’s price is its time to maturity. This refers to the period until the bond’s maturity date when the issuer repays the principal amount (face value) to the bondholder.

Time to maturity is crucial in determining a bond’s price and sensitivity to interest rate changes. Imagine holding a long-term bond, such as a 30-year Treasury bond. At the end of those 30 years, a significant portion of your return will come from the principal repayment.

Now, consider a scenario where interest rates rise. Newly issued bonds will offer higher yields to entice investors. Your existing 30-year bond, with its lower coupon rate, becomes less attractive. To make your bond competitive, its price must decline to offer a higher yield to compensate for the lower coupon. This price decline is more pronounced for longer-term bonds because a larger portion of their return is derived from the distant principal repayment, which is now worth less in present value terms due to the higher prevailing interest rates.

The “Pull to Par” phenomenon

Now, let’s introduce a fundamental concept in bond investing: the “pull to par” phenomenon. This phenomenon describes the tendency of both premium and discount bonds to gradually converge toward their face value as they approach their maturity date, regardless of the bond’s initial price.

Premium bonds. These bonds offer a higher coupon rate than the prevailing market interest rates. As the bond nears maturity, the attractiveness of its higher coupon payments diminishes relative to the lower market rates. To maintain competitiveness, the bond’s price must decrease. This gradual price decline continues until the bond matures and the investor receives the face value, effectively “pulling” the bond’s price back to par.

Discount bonds. Conversely, discount bonds have a lower coupon rate than current market rates. As maturity approaches, the lower coupon payments become more attractive relative to the higher market rates. To remain competitive, the bond’s price must increase. This gradual price appreciation continues until the bond matures and the investor receives the face value, effectively “pulling” the bond’s price back to par.

When making investment decisions, this “pull to par” effect is a key consideration for fixed-income investors. Understanding this phenomenon helps investors anticipate price movements and make informed choices about buying and selling bonds at different points in their lifecycles.

The constant‐yield price trajectory shows how the price of a premium/ discount code is pulled toward par as it nears maturity.

Premium bonds: A closer look

Premium bonds offer a higher coupon rate than the prevailing market interest rate. As a result, you pay a premium, meaning you buy the bond at a higher price than its face value.

To illustrate, consider a scenario where you buy a 10-year bond with a 7% coupon rate issued when the prevailing market interest rate is 6%. Since the issuer offers a higher coupon rate than the market rate, it offers a premium when selling the bond while maintaining a competitive yield. Assuming a par value of $1,000 with annual coupon payments, the bond’s issue price is $1,073.60.

Relationship Between Bond Price and Maturity

The bond’s high price makes it less attractive, and as a result, its value will decline as it approaches maturity. As shown in the table, the bond’s price gradually declines from its initial premium price of $1,073.60 to its face value of $1,000 as maturity approaches.

The bond’s price is pulled down to $1,068.02 the first year after issuance. Subsequent years saw the price adjust downward to maintain a competitive yield in the lower interest rate market. Eventually, it reached par at maturity.

Discount bonds: A closer look

Now, let’s turn our attention to discount bonds. These bonds have a lower coupon rate than the prevailing market interest rates. As a result, you purchase a discount bond at a price below its face value.

Let’s change the scenario in the previous example. Assume the prevailing market interest rate is 8% instead of 6%. Since the bond offers a coupon rate lower than the market interest rate, it must be discounted to make it attractive to investors. The bond is offered at $932.90.

Relationship Between Bond Price and Maturity

The discounted price allows you to benefit from capital appreciation. That makes the bond more attractive and encourages investors to buy it. As maturity approaches, the price will be pulled up to near par.

As the table shows, the bond is initially priced at $932.90, significantly below its $1,000 face value. This discount reflects that the bond’s coupon rate is lower than the prevailing market interest rate of 8%. As the bond approaches maturity, its price steadily increases. This price appreciation directly results from the “pull to par” effect. At maturity (year 10), the bond’s price converges to its face value of $1,000.

In essence, the price of a discount bond gradually increases over time as it converges toward its face value at maturity. This, again, is a manifestation of the “pull to par” effect, which ensures that the bond’s yield remains competitive within the ever-changing landscape of market interest rates.

Key Takeaway

Understanding the “pull to par” effect is crucial for navigating the fixed-income market successfully. This fundamental principle highlights that bond prices, regardless of whether they were initially purchased at a premium or a discount, exhibit a consistent tendency to converge toward their face value as they approach maturity. This convergence ensures that the bond’s yield remains competitive within the dynamic landscape of market interest rates. By recognizing this inherent price behavior, investors can make more informed decisions regarding bond purchases and sales, optimizing their portfolio returns within the evolving fixed-income market.

Download our interactive Excel spreadsheet here to explore the relationship between bond price and time to maturity further.

⬡ Start Your Journey Here: Fixed Income Basics.

LEARN MORE

  • Mastering Bond Price: A Guide for Savvy Investors
  • Time to Maturity: How It Works, Impacts, Relation to the Yield Curve
  • Why Are Bond Prices and YTM Inversely Related?
  • How Collateral Impacts Your Bond Prices
  • Understanding Bond Prices: Above, At, and Below Par

About the Author

I'm Ahmad. As an introvert with a passion for storytelling, I leverage my analytical background in equity research and credit risk to provide you with clear, insightful information for your business and investment journeys. My expertise also extends to Wellsifyu.com, where I empower you with smart shopping insights. Learn more about me

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