Skip to Content

The dynamics of bond duration and rising rates

After a decades-long bull market, bonds have come under pressure. Yields hit all-time lows during the COVID-19 recession, but rose as the economy rebounded, and some anticipate they may climb higher with the Federal Reserve reducing its bond-buying program and the prospect of further fiscal spending. Make no mistake, though—bonds still merit inclusion in a broadly diversified portfolio.

As we outlined in a recent commentary by Roger Aliaga-Díaz, Vanguard’s chief economist for the Americas and head of portfolio construction, investment-grade bonds can be a shock absorber when equities fall.

“In the current climate—featuring a rise in inflation, reduced bond buying by the Fed, and more fiscal spending on the way—rising rates can actually lead to higher total returns from bonds if your investment horizon is longer than your bond portfolio duration,” said Ian Kresnak, a Vanguard investment strategy analyst.

 

How interest rates affect coupons and prices

Government bond investors are exposed to two types of risk from interest rate movements:

  • Reinvestment risk. When yields are falling, investors reinvest cash flow from bond coupon payments at lower rates, reducing the yield component of future total returns. On the other hand, in a rising rate environment such as the one we’re in now, they can reinvest cash flow at higher rates, increasing the yield component of future total returns. 
  • Market price risk. The market price of a bond is determined by discounting future cash flows at the current market interest rate. Falling interest rates make a bond’s future coupon payments worth more and, by extension, increase its current market price, and rising rates make a bond’s future coupon payments worth less, decreasing its current market price. How much more or less is determined by the time until the bond reaches maturity. The future cash flow of a bond maturing in 2 years will be affected much less by a change in interest rates than that of a bond maturing in 30 years. The standard yardstick to measure this sensitivity of a bond’s market price to a change in interest rates is duration, expressed in years.

These relationships apply to individual bonds as well as bond portfolios, funds, and ETFs. 

 

Your investment horizon matters

Rising interest rates can be good for bond investors if their investment horizon is long enough. Figure 1 shows the effect of the investment horizon on a hypothetical investment in a bond maturing in 15 years that pays a coupon of 0.9% annually when interest rates are at 2%. The bond’s weighted average Macaulay duration is 14 years. (Macaulay duration is the weighted average time to receive coupon interest and principal payments that would allow the investor to recoup the bond’s price from its cash flows.)

It’s true that when the investment horizon is shorter than the bond’s duration, the decline in market price outstrips the benefit of higher yields on reinvested cash flow. As shown in Figure 1, over a period of 5 or 10 years, a rise in interest rates of 100 or 200 basis points results in a deterioration in total returns.

When the investment horizon is longer than the bond’s duration, however, higher yields on reinvested cash flow outweigh the market price decline. Over a period of 15, 20, or 25 years, interest rate rises of 100 and 200 basis points result in an improvement in total returns.

(The inverse is true for total returns when interest rates decline. For investment horizons shorter than the bond’s duration, total returns improve; for horizons longer than the bond’s duration, they deteriorate.)

 

Figure 1: Rising rates can be a good thing
Change in expected annualized total return over various investment horizons for a given instantaneous change in interest rates

 

Note: The illustration is on a hypothetical investment in a bond maturing in 15 years that pays a coupon of 0.9% annually with interest rates at 2% and assumes a duration of 14 years.
Source: Vanguard.

 

Real-world examples

During the 27-month period between July 2016 and October 2018, U.S. Treasuries experienced a significant rise in yields across the curve. Using that period as the investment horizon, the yield of the 2-year Treasury note rose 226 basis points, and the yield of the 10-year Treasury note rose 165 basis points.

The left-hand panel of Figure 2 shows the price, coupon, and total return for the Bloomberg US 1-3 Year Treasury Index over that period. As the index had a duration of 23 months—shorter than the 27-month period we looked at—higher coupon payments offset the market price declines. Although the market price of the index fell by an annualized 1.54%, additional annualized coupon payments of 1.56% resulted in an improvement of 0.05% in the index’s annualized total return.

The right-hand panel of Figure 2 shows the same thing for the Bloomberg US Long Treasury Index. For its duration of 18.5 years, much longer than the period under review, higher annualized coupon payments of 2.61% were overwhelmed by the annualized market price decline of ‒8.16%, resulting in a deterioration of ‒5.27% in the index’s annualized total return.

 

Figure 2: The difference duration made to total return in a rising rate environment

Notes: The residual change refers to the component of total return not explained by price or coupon return. This is commonly known as “roll return” and includes the effects of duration and convexity. Convexity is the sensitivity of duration (change in a bond’s price for a given change in interest rates) to a change in interest rates. It describes the tendency of bond prices to rise more than implied by duration for a given decrease in interest rates, and vice versa. Past performance is no guarantee of future returns. The performance of an index is not an exact representation of any particular investment, as you cannot invest directly in an index.
Sources: Bloomberg and Vanguard.

 

To cite another, more extreme example, as shown in Figure 3, in the 4-year period between May 2003 and May 2007, short-term yields rose significantly: The yield on the 2-year U.S. Treasury increased 313 basis points. As the index at that time had a duration of 1.8 years, annualized coupon payments rose by 3.50%, more than offsetting the annualized market price decline of 1.32%. For this index over this time period, rising rates boosted the annualized total return by a hefty 2.31%.

 

Figure 3: Larger rises in rates resulted in greater increases in coupon payments for short-term bonds

Note: The residual change refers to the component of total return not explained by price or coupon return. This is commonly known as “roll return” and includes the effects of duration and convexity. Convexity is the sensitivity of duration (change in a bond’s price for a given change in interest rates) to a change in interest rates. It describes the tendency of bond prices to rise more than implied by duration for a given decrease in interest rates, and vice versa. Past performance is no guarantee of future returns. The performance of an index is not an exact representation of any particular investment, as you cannot invest directly in an index.
Sources: Bloomberg and Vanguard.

 

The yield curve matters, too

Duration as a metric assumes a parallel shift in the yield curve, but such shifts are rare in practice. Even in the first example above, the increase was far from perfectly parallel.

Let’s consider a long-duration bond index (like the Bloomberg US Long Treasury Index) during the same 2003‒2007 period we examined in Figure 3. Did it sell off as it did in the 2016‒2018 period? No, and the answer largely has to do with how the yield curve shifted.

As shown in Figure 4, short-term rates rose dramatically over the period—the 2-year U.S. Treasury rose 313 basis points—driving the 2.31% annualized increase in returns for a short-term bond portfolio shown in Figure 3. The long end, however, moved much less. The 10-year U.S. Treasury yield rose 76 basis points, and the 20-year Treasury yield (the “key rate” closest to the duration of the bond index in question) moved just 9 basis points higher. As a result, the price decline for the Bloomberg US Long Treasury Index was not nearly enough to offset the coupon return, and the total return stayed positive for the period.

 

Figure 4: Yields rose between May 2003 and May 2007, but not in parallel across the curve

Sources: Bloomberg and Vanguard.

 

“As monetary policy normalizes, it is not a given that shifts in the yield curve will be parallel,” said Mr. Kresnak. “And forecasting the yield curve is challenging—the front end is influenced more by monetary policy, while the longer end is driven more by economic growth and inflation expectations.”

 

Investors should focus on what is within their control

“Rising rates are not all doom and gloom for bond investors,” said Mr Kresnak. “They should find some solace in rising rates if their bond portfolio is at least reasonably calibrated to their investment horizon.”

Duration is key:

  • For an investment horizon longer than the duration of a bond portfolio, a rise in rates will create short-term pain but long-term gain.
  • For an investment horizon shorter than the duration of a bond portfolio, consider an adjustment to align the two more closely.

 

Publication date: November 2021

All investing is subject to risk, including the possible loss of the money you invest.

Diversification does not ensure a profit or protect against a loss.

Investments in bonds are subject to interest rate, credit, and inflation risk.

U.S. government backing of Treasury or agency securities applies only to the underlying securities and does not prevent share-price fluctuations. Unlike stocks and bonds, U.S. Treasury bills are guaranteed as to the timely payment of principal and interest.

The information contained in this material may be subject to change without notice and may not represent the views and/or opinions of Vanguard Investments Canada Inc.

Certain statements contained in this material may be considered "forward-looking information" which may be material, involve risks, uncertainties or other assumptions and there is no guarantee that actual results will not differ significantly from those expressed in or implied by these statements. Factors include, but are not limited to, general global financial market conditions, interest and foreign exchange rates, economic and political factors, competition, legal or regulatory changes and catastrophic events. Any predictions, projections, estimates or forecasts should be construed as general investment or market information and no representation is being made that any investor will, or is likely to, achieve returns similar to those mentioned herein.

While the information contained in this material has been compiled from proprietary and non-proprietary sources believed to be reliable, no representation or warranty, express or implied, is made by The Vanguard Group, Inc., its subsidiaries or affiliates, or any other person (collectively, "The Vanguard Group") as to its accuracy, completeness, timeliness or reliability. The Vanguard Group takes no responsibility for any errors and omissions contained herein and accepts no liability whatsoever for any loss arising from any use of, or reliance on, this material.

This material is not a recommendation, offer or solicitation to buy or sell any security, including any security of any investment fund or any other financial instrument. The information contained in this material is not investment advice and is not tailored to the needs or circumstances of any investor, nor does the information constitute business, financial, tax, legal, regulatory, accounting or any other advice. 

The information contained in this material may not be specific to the context of the Canadian capital markets and may contain data and analysis specific to non-Canadian markets and products.

The information contained in this material is for informational purposes only and should not be used as the basis of any investment recommendation. Investors should consult a financial, tax and/or other professional advisor for information applicable to their specific situation.

In this material, references to "Vanguard" are provided for convenience only and may refer to, where applicable, only The Vanguard Group, Inc., and/or may include its its subsidiaries or affiliates, including Vanguard Investments Canada Inc.

Commissions, management fees, and expenses all may be associated with investment funds. Investment objectives, risks, fees, expenses, and other important information are contained in the prospectus; please read it before investing. Investment funds are not guaranteed, their values change frequently, and past performance may not be repeated. Vanguard funds are managed by Vanguard Investments Canada Inc. and are available across Canada through registered dealers.

This material is for informational purposes only. This material is not intended to be relied upon as research, investment, or tax advice and is not an implied or express recommendation, offer or solicitation to buy or sell any security or to adopt any particular investment or portfolio strategy. Any views and opinions expressed do not take into account the particular investment objectives, needs, restrictions and circumstances of a specific investor and, thus, should not be used as the basis of any specific investment recommendation. Investors should consult a financial and/or tax advisor for financial and/or tax information applicable to their specific situation.

All investment funds, including those that seek to track an index are subject to risk, including the possible loss of principal. Diversification does not ensure a profit or protect against a loss in a declining market. While the Vanguard ETFs are designed to be as diversified as the original indices they seek to track and can provide greater diversification than an individual investor may achieve independently, any given ETF may not be a diversified investment.

All monetary figures are expressed in Canadian dollars unless otherwise noted.