Understanding Duration | PIMCO (2024)

What is a bond’s duration?

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.

How investors use duration

Generally, the higher a bond’s duration, the more its value will fall as interest rates rise, because when rates go up, bond values fall and vice versa. If an investor expects interest rates to fall during the course of the time the bond is held, a bond with a longer duration would be appealing because the bond’s value would increase more than comparable bonds with shorter durations.

As the table below shows, the shorter a bond’s duration, the less volatile it is likely to be. For example, a bond with a one-year duration would only lose 1% in value if rates were to rise by 1%. In contrast, a bond with a duration of 10 years would lose 10% if rates were to rise by that same 1%. Conversely, if rates fell by 1%, bonds with a longer duration would gain more while those with a shorter duration would gain less.

Understanding Duration | PIMCO (1)

Risk-averse investors, or those concerned about wide fluctuations in the principal value of their bond holdings, should consider a bond strategy with a very short duration. Investors who are more comfortable with these fluctuations, or who are confident that interest rates will fall, should look for a longer duration.

Limitations of duration

While duration can be an extremely useful analytical tool, it is not a complete measure of bond risk. For example, duration does not tell you anything about the credit quality of a bond or bond strategy. This can be particularly important with lower-rated securities (such as high yield bonds), which tend to react as much, if not more, to investor concerns about the stability of the issuing company as they do to changes in interest rates.

Another limitation to using duration when evaluating a bond strategy is that its average duration may change as the bonds within the portfolio mature and interest rates change. So the duration at the time of purchase may not be accurate after the portfolio’s holdings have been adjusted. Concerned investors should regularly check their bond strategy’s average duration to avoid surprises, or invest in strategies that are actively managed to maintain a set average duration range.

How portfolio managers use duration

While duration does have limitations, it can be an extremely useful tool for building bond portfolios and managing risk. As a portfolio manager’s interest rate outlook changes, he or she can adjust the portfolio’s average duration (by adjusting the holdings in the portfolio) to coincide with the forecast.

These adjustments can be made either for the portfolio as a whole or for a particular sector within the portfolio. So, if the manager expects interest rates to fall, the average duration of the portfolio could be lengthened in order to get the maximum benefit from the change. On the other hand, if a manager’s outlook indicates that interest rates will be increasing, he or she could shorten the portfolio’s average duration, moving it closer to zero, to minimize the negative effect on values.

In contrast to the more typical positive duration, a “negative” duration strategy can be employed by a manager with a very high conviction that interest rates will rise to both protect the portfolio and potentially enhance returns. A portfolio with a negative duration will increase in value when interest rates rise, barring other impacts.

PIMCO and duration

Because interest rate expectations have a significant impact on bond values, PIMCO devotes considerable effort trying to anticipate global economic and political trends that may influence the direction of interest rates. That long-term outlook is then translated into a general duration range for our portfolios, with short-term adjustments made, as necessary, within that range. In addition to interest rates, we also apply duration measurements to determine bond value sensitivity to shifts in other factors, such as yield curve and bond spreads.

Understanding Duration | PIMCO (2024)

FAQs

How to understand duration? ›

Duration measures a bond's or fixed income portfolio's price sensitivity to interest rate changes. Most often, when interest rates rise, the higher a bond's duration, the more its price will fall. Time to maturity and a bond's coupon rate are two factors that can affect a bond's duration.

How do you interpret effective duration? ›

Understanding Effective Duration

Effective duration calculates the expected price decline of a bond when interest rates rise by 1%. The value of the effective duration will always be lower than the maturity of the bond.

What determines duration? ›

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.

Is duration positive or negative? ›

How investors use duration. Generally, the higher a bond's duration, the more its value will fall as interest rates rise, because when rates go up, bond values fall and vice versa.

What is a duration example? ›

Duration is how long something lasts, from beginning to end. A duration might be long, such as the duration of a lecture series, or short, as the duration of a party. The noun duration has come to mean the length of time one thing takes to be completed.

What is the duration analysis? ›

Duration analysis is based on Macaulay's concept of duration, which measures the average lifetime of a security's stream of payments (described in. the appendix to Chapter 4). Recall that duration is a useful concept, because it pro- vides a good approximation, particularly when interest-rate changes are small, of the.

How is duration being measured? ›

Duration is a way of measuring the interest rate risk of an individual or portfolio of fixed income securities. Pure, or Macaulay duration, is calculated by discounting all cash flows of a bond using the proper interest rate and then time weighting each of the cash flows.

What is the formula for duration? ›

The duration formula is a measure of a bond's sensitivity to changes in the interest rate, and it is calculated by dividing the sum product of discounted future cash inflow of the bond and a corresponding number of years by a sum of the discounted future cash inflow.

What factors affect duration? ›

The duration of a bond is primarily affected by its coupon rate, yield, and remaining time to maturity. The duration of a bond will be higher the lower its coupon. Duration will be higher the lower its yield. Duration will also be higher the longer its maturity.

Why is duration important? ›

The higher the duration, the higher the risk of price changes as interest rates change. Constructing a bond portfolio based on weighted average duration provides the ability to deter- mine value changes based on forecasted changes in interest rates.

What are the two types of duration? ›

There are two types of bond duration: Macaulay duration and modified duration. Both are measured in years and assess a bond's interest-rate sensitivity. Macaulay duration is the weighted average time that it takes for all of a bond's future cash flows to be received and to cover the true cost of the bond.

How to interpret duration? ›

Duration measures the percentage change in price with respect to a change in yield. 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.

How do you calculate effective duration? ›

[5] Effective Duration is calculated by summing up all the multiples of the present values of cash flows and corresponding time periods and then dividing the sum by the market bond price.

Does duration overestimate or underestimate? ›

This means that bond duration will underestimate the change in bond price when interest rates decrease, and overestimate the change in bond price when interest rates increase.

How can I calculate duration? ›

Calculate the duration between two times

First, identify the starting and an ending time. The goal is to subtract the starting time from the ending time under the correct conditions. If the times are not already in 24-hour time, convert them to 24-hour time.

What is the formula for $duration? ›

In practice, for securities with fixed cash flows, people compute the duration of a security using the security's yield instead of the individual zero rates for with each cash flow. duration = dollar duration/price = -p'(y) /p(y) ≈ - percent change in price for 100 bp change in bond yield.

What does a duration of 5 mean? ›

Using a bond's duration to gauge interest rate risk

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.

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