Duration: Understanding the Relationship Between Bond Prices and Interest Rates - Fidelity (2024)

Consider a bond investment's duration to understand the potential impact of interest rate fluctuations.

Duration: Understanding the Relationship Between Bond Prices and Interest Rates - Fidelity (1)

There is a common perception among many investors that bonds represent the safer part of a balanced portfolio and are less risky than stocks. While bonds have historically been less volatile than stocks over the long term, they are not without risk.

The most common and most easily understood risk associated with bonds is credit risk. Credit risk refers to the possibility that the company or government entity that issued a bond will default and be unable to pay back investors' principal or make interest payments.

Bonds issued by the US government generally have low credit risk. However, Treasury bonds (as well as other types of fixed income investments) are sensitive to interest rate risk, which refers to the possibility that a rise in interest rates will cause the value of the bonds to decline. Bond prices and interest rates move in opposite directions, so when interest rates fall, the value of fixed income investments rises, and when interest rates go up, bond prices fall in value.

If rates rise and you sell your bond prior to its maturity date (the date on which your investment principal is scheduled to be returned to you), you could end up receiving less than what you paid for your bond. Similarly, if you own a bond fund or bond exchange-traded fund (ETF), its net asset value will decline if interest rates rise. The degree to which values will fluctuate depends on several factors, including the maturity date and coupon rate on the bond or the bonds held by the fund or ETF.

Using a bond's duration to gauge interest rate risk

While no one can predict the future direction of interest rates, examining the "duration" of each bond, bond fund, or bond ETF you own provides a good estimate of how sensitive your fixed income holdings are to a potential change in interest rates. Investment professionals rely on duration because it rolls up several bond characteristics (such as maturity date, coupon payments, etc.) into a single number that gives a good indication of how sensitive a bond's price is to interest rate changes. For example, if rates were to rise 1%, a bond or bond fund with a 5-year average duration would likely lose approximately 5% of its value.

Duration is expressed in terms of years, but it is not the same thing as a bond's maturity date. That said, the maturity date of a bond is one of the key components in figuring duration, as is the bond's coupon rate. In the case of a zero-coupon bond, the bond's remaining time to its maturity date is equal to its duration. When a coupon is added to the bond, however, the bond's duration number will always be less than the maturity date. The larger the coupon, the shorter the duration number becomes.

Generally, bonds with long maturities and low coupons have the longest durations. These bonds are more sensitive to a change in market interest rates and thus are more volatile in a changing rate environment. Conversely, bonds with shorter maturity dates or higher coupons will have shorter durations. Bonds with shorter durations are less sensitive to changing rates and thus are less volatile in a changing rate environment.

The chart below shows how a bond with a 5% annual coupon that matures in 10 years (green bar) would have a longer duration and would fall more in price as interest rates rise than a bond with a 5% coupon that matures in 6 months (blue bar). Why is this so? Because bonds with shorter maturities return investors' principal more quickly than long-term bonds do. Therefore, they carry less long-term risk because the principal is returned, and can be reinvested, earlier.

10-year bond vs. 6-month bond

Duration: Understanding the Relationship Between Bond Prices and Interest Rates - Fidelity (2)

*A simultaneous change in interest rates across the bond yield curve. This hypothetical example is an approximation that ignores the impact of convexity; we assume the duration for the 6-month bonds and 10-year bonds in this example to be 0.38 and 8.87, respectively. Duration measures the percentage change in price with respect to a change in yield.

Source: FMRCo

Of course, duration works both ways. If interest rates were to fall, the value of a bond with a longer duration would rise more than a bond with a shorter duration. Therefore, in our example above, if interest rates were to fall by 1%, the 10-year bond with a duration of just under 9 years would rise in value by approximately 9%. If rates were to fall 2%, the bond’s value would also rise by approximately twice as much (18%).

Using a bond's convexity to gauge interest rate risk

Keep in mind that while duration may provide a good estimate of the potential price impact of small and sudden changes in interest rates, it may be less effective for assessing the impact of large changes in rates. This is because the relationship between bond prices and bond yields is not linear but convex—it follows the line "Yield 2" in the diagram below.

Using the illustrative chart, you can see how when yields are low, a 1% increase in rates will lead to a larger change in a bond’s price than when beginning yields are high. This differential between the linear duration measure and the actual price change is a measure of convexity—shown in the diagram as the space between the blue line (Yield 1) and the red line (Yield 2).

Relationship between price and yield in a hypothetical bond

Duration: Understanding the Relationship Between Bond Prices and Interest Rates - Fidelity (3)

For illustrative purposes only. Source: FMRCo

The impact of convexity is also more pronounced in long-duration bonds with small coupons—something known as "positive convexity," meaning it will act to reinforce or magnify the price volatility measure indicated by duration as discussed earlier.

Keep in mind that duration is just one consideration when assessing risks related to your fixed income portfolio. Credit risk, inflation risk, liquidity risk, and call risk are other relevant variables that should be part of your overall analysis and research when choosing your investments.

Viewing and using duration data on Fidelity.com

Log in to your Fidelity account to get specific bond data using the tools and features outlined below.

Managing the duration of your portfolio

Plot the duration of your fixed income holdings using Fidelity's Guided Portfolio SummarySM (GPS) to see at a glance the weighted average duration of your fixed income holdings at Fidelity. The duration of your fixed income investments is also plotted on a grid in comparison to the benchmark.

View duration in the Fixed Income Analysis tool to see the duration of your bonds, CDs, and bond funds. Also, model the hypothetical addition to your portfolio of new bonds to see how they might impact the duration of the overall portfolio.

Accessing the duration of an individual investment

Locate a bond fund's duration in the bond fund's online profile under Portfolio Data.

Locate a bond ETF's duration from either the Snapshot page or Key Statistics, where the duration of the specific ETF can be compared to the asset class median duration.

Locate a bond's duration under each bond's Bond Details page.

Compare the duration of two bonds. As you review potential bond investments, you can easily compare duration and other characteristics between two bonds using this tool.

Duration: Understanding the Relationship Between Bond Prices and Interest Rates - Fidelity (2024)

FAQs

What is the relationship between bond duration and interest rates? ›

In general, the higher the duration, the more a bond's price will drop as interest rates rise (and the greater the interest rate risk). For example, if rates were to rise 1%, a bond or bond fund with a five-year average duration would likely lose approximately 5% of its value.

What is the relationship between interest rates and bond prices? ›

Bond prices have an inverse relationship with interest rates. This means that when interest rates go up, bond prices go down and when interest rates go down, bond prices go up.

What is the relationship between the term of a bond and the interest rate called? ›

Essentially, term structure of interest rates is the relationship between interest rates or bond yields and different terms or maturities. When graphed, the term structure of interest rates is known as a yield curve, and it plays a crucial role in identifying the current state of an economy.

What does duration tell you about your bond portfolio? ›

Duration is a measurement of a bond's interest rate risk that considers a bond's maturity, yield, coupon and call features. These many factors are calculated into one number that measures how sensitive a bond's value may be to interest rate changes.

What is the relationship between the bond rating and its interest rate? ›

The higher a bond's rating, the lower the interest rate it will carry, due to the lower risk, all else equal. The bond rating agencies rate all types of bonds, from corporate bonds to sovereign bonds.

What does duration tell you about the sensitivity of a bond portfolio to interest rates? ›

Bond duration is a measure of the degree to which a bond investment is likely to change in value if interest rates were to rise or fall. The higher the number, the more sensitive your bond investment will be to changes in interest rates.

What is the relationship between the price and interest rate on a bond quizlet? ›

bond prices and interest rates are inversely related. The interest rate on the bond (or the yield to maturity) is the discount rate. As the discount rate gets larger, the price of the bond will decrease.

Which of the following statements about the relationship between interest rates and bond prices is true? ›

The correct statement is: There is an inverse relationship between bond prices and interest rates, an...

What is the formula for bond price and interest rate? ›

The bond valuation formula can be represented as: Price = ( Coupon × 1 − ( 1 + r ) − n r ) + Par Value ( 1 + r ) n . The bond value formula can be broken into two parts for better understanding. The first part is the present value of the coupons, and the second part is the discounted value of the par value.

What are bonds and interest rates inversely related? ›

Bond prices and interest rates have an inverse relationship. When interest rates rise, newly issued bonds offer higher yields, making existing lower-yielding bonds less attractive, which decreases their prices.

Should I buy bonds when interest rates are high? ›

Should I only buy bonds when interest rates are high? There are advantages to purchasing bonds after interest rates have risen. Along with generating a larger income stream, such bonds may be subject to less interest rate risk, as there may be a reduced chance of rates moving significantly higher from current levels.

Which term describes the relationship between a bond's price and? ›

Bond yield and price are inversely related. Thus, as the price goes up, the yield decreases, and vice versa. This relationship exists because the bond's coupon rate is fixed, which requires the price in secondary markets to change to align with prevailing interest rates in the market.

What is the relationship between duration and interest rates? ›

A higher duration implies greater price volatility should rates move. Duration is quoted as the percentage change in price for each given percent change in interest rates. For example, the price of a bond with a duration of 2 would be expected to increase (decline) by about 2.00% for each 1.00% move down (up) in rates.

What is the relationship between bond prices and interest rates? ›

Bonds have an inverse relationship to interest rates. When the cost of borrowing money rises (when interest rates rise), bond prices usually fall, and vice-versa.

How to understand duration? ›

The term duration is mathematically defined as the sum of the weighted average time of each of the cash flows that make up a bond. In other words, “pure” duration (denoted in years) is how long it will take for an investor to receive the bond's present value based on the expected future cash flows of the bonds.

What is the relationship between the interest rate and term length? ›

Lenders charge interest on the money you borrow, and your rate determines how much extra you will need to pay back in addition to your loan principal. The lower your interest rate, the less money you owe over your loan's term length. Interest rates impact monthly payments far less than term lengths.

What is the relationship between bond length and bond? ›

Bond order and bond length indicate the type and strength of covalent bonds between atoms. Bond order and length are inversely proportional to each other: when bond order is increased, bond length is decreased.

What is the relationship between interest rate and time? ›

Answer and Explanation:

The interest rate has a positive relationship with time. It means that a greater time period will have a higher interest rate and vice-versa. So loans taken for a short term will have a lower rate of interest than that of a long term loan.

What is the inverse relationship between interest rates and bonds? ›

Key Takeaways. Most bonds pay a fixed interest rate that becomes more attractive if interest rates fall, driving up demand and the price of the bond. Conversely, if interest rates rise, investors will no longer prefer the lower fixed interest rate paid by a bond, resulting in a decline in its price.

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