The correlation of equity and bond returns (2024)

Amid a generalised increase in the volatility in fixed income markets and in sync with the inflation surge, the correlation between equity and bond returns has turned from negative to increasingly positive. A departure from the negative correlation between equity and bond returns, the typical configuration for the past two decades, weakens the diversification in the classical long-only asset allocation strategies of pension and investment funds. Specifically, it undermines the role of bonds as a hedge for the portfolio's equity portion. This box documents the recent persistence of positive correlations and explains it with reference to the inflation environment and the attendant uncertainty.

The correlation between US equity and government bond returns switched sign in mid-2021. Since then, the monthly realised correlation of the daily returns has become positive (Graph A1.A). One has to go back to the 1980s and the early 1990s to find a prolonged period with positive correlations.

Graph A1

Closeall

The inflation environment plays a key role in shaping the correlation of equity and bond returns through the expected response of monetary policy to news. At times of low and stable inflation, market participants typically put more emphasis on growth-related news when forming expectations of monetary policy Growth surprising on the downside, for example, would depress equity prices due to lower expected earnings. Such a surprise would also raise expectations of a monetary policy easing, so that bond prices would be boosted by lower discount rates. Thus, in a low-inflation environment, a negative correlation between equity and bond returns prevails. By contrast, at times of high and volatile inflation, it is the inflation outlook that takes centre stage in shaping the expected path of monetary policy rates. Positive inflation surprises, for example, depress the price of outstanding bonds, since their principal and coupons are expressed in nominal terms. Positive inflation surprises also raise expectations of rate hikes and give central banks less scope to cut interest rates if growth falters. This depresses future earnings and equity prices. In such an environment, the correlation between equity and bond returns would thus be positive.

Empirical evidence confirms that the inflation environment affects the correlation of equity and bond returns. The coefficient on inflation surprises turned positive and statistically significant in mid-2021 (Graph A1.B). By contrast, the coefficient on growth news, while significant and negative in the period prior to mid-2021, has become statistically insignificant more recently (Graph A1.C).

A positive correlation between equity and bond returns can partly explain the increase in bond yields observed over the past months. The hallmark portfolio structure of passive investors includes government bonds as a hedge against the swings of riskier assets such as equities. However, if returns on bonds and equities are positively correlated, the former will no longer work as a hedge, and investors will require a higher term premium – ie compensation for undiversified risk in government bonds. Hence, the switch in the sign of correlations between equity and bond returns has contributed to the recent increase in bond yields by pushing up the term premium.

The views expressed are those of the authors and do not necessarily reflect the views of the BIS. The shift from a positive to a negative correlation in the late 1990s has been widely documented and researched. More specifically, it has been associated with phases of monetary tightening at times of low inflation (see for example L Beale and F Van Holle, "Stock-bond correlations, macroeconomic regimes and monetary policy", SSRN Working Paper, October 2017), or more broadly to a change in the relationship between monetary policy and the business cycle (see J Campbell, C Pflueger and L Viceira, "Macroeconomic drivers of bond and equity risks", Journal of Political Economy, vol 128, no 8, August2020). See also A Cieslak and A Schrimpf, "Non-monetary news in central bank communication", Journal of International Economics, vol 118, May 2019. In a low-inflation environment, as inflation fluctuations around target are typically small and short-lived, they do not necessarily elicit a monetary policy response. In fact, inflation may be driven largely by relative price changes, which monetary policy could safely overlook; see C Borio, M Lombardi, E Zakrajšek and J Yetman, "The two-regime view of inflation", BIS Papers, no 133, March2023. The same point was made, in the context of low inflation, by R Clarida, "Monetary policy, price stability and equilibrium bond yields: success and consequences", speech at the High-level conference on global risk, uncertainty and volatility, Zurich, November 2019.

The correlation of equity and bond returns (2024)

FAQs

What is the correlation between stock and bond returns? ›

Generally, when inflation is high and volatile, stocks and bonds have a positive correlation. That is, their prices move in the same direction (downward). When inflation is low and stable, stocks and bonds tend to have a negative correlation.

What is the relationship between equity and bond market? ›

A negative correlation means that when equity prices decline, bond prices rise (and hence bond yields decline). An investor who is invested in both asset classes will benefit from a diversification effect: one asset decline in value but the other increases and cushion the impact of the other.

What is the equity bond correlation? ›

A positive correlation between equity and bond returns can partly explain the increase in bond yields observed over the past months. The hallmark portfolio structure of passive investors includes government bonds as a hedge against the swings of riskier assets such as equities.

What is a positive correlation between stocks and bonds? ›

“Positive Correlation” refers to the equity downturn periods where the monthly correlation between global equities and global bonds was positive. Similarly, “Negative Correlation” refers to the equity downturn periods where the monthly correlation between global equities and global bonds was negative.

Why does the correlation between stock and bond returns vary over time? ›

Growth and volatility shocks tend to push stocks and bonds in opposite directions, while inflation shocks tend to cause common discount rate variation across asset classes. The latter effect dominated in the variable inflation levels of 1960–1990 and kept stock-bond correlations positive.

What is the correlation between stocks and bonds over time? ›

There have been other periods of positive correlation between stocks and bonds over the past 45 years. During the 25-year period from 1976 to 2000, stocks and bonds exhibited 32% correlation and saw several spikes of rolling 24-month correlation above 60%. The highest rolling 24-month correlation was 78% in June 1995.

What is the relationship between bond yields and equity? ›

Bond yields impact the cost of capital in valuing equities

When bond yields go up then the cost of capital goes up. That means that future cash flows get discounted at a higher rate. This compresses the valuations of these stocks.

What is the relationship between equities and bond yields? ›

For bonds, an increase in real interest rates leads to an increase in bond yields and a decrease in prices. For stocks, increased borrowing costs can impact corporate profits and cash flows, leading to decreased demand from investors, and potentially causing stock prices to fall.

Why are bonds and equities negatively correlated? ›

In contrast, when interest rates and inflation are low and stable, risk premia are moving in the opposite direction and monetary policy is countercyclical, equity-bond correlations are more likely to be negative.

What is the formula for correlation of returns? ›

The formula for correlation is equal to Covariance of return of asset 1 and Covariance of asset 2 / Standard. Deviation of asset 1 and a Standard Deviation of asset 2.

How do bonds affect equity? ›

A decrease in interest rates will prompt investors to move money from the bond market to the equity market. The influx of new capital causes the equity market to rise.

What are bonds correlated with? ›

Interest rates, bond yields (prices), and inflation expectations correlate with one another. Movements in short-term interest rates, as dictated by a nation's central bank, will affect different bonds with different terms to maturity differently, depending on the market's expectations of future levels of inflation.

What is a positive correlation between two assets returns? ›

A positive correlation means that the prices of two assets tend to move in the same direction, while a negative correlation means that the prices of two assets tend to move in opposite directions. Correlation is typically expressed using a correlation coefficient, which has a value between -1 and +1.

How do the returns of a bond and a common stock compare? ›

Historically, stocks have higher returns than bonds. According to the U.S. Securities and Exchange Commission (SEC), the stock market has provided annual returns of about 10% over the long term. By contrast, the typical returns for bonds are significantly lower. The average annual return on bonds is about 5%.

What is the correlation of bonds and interest rates? ›

Why interest rates affect bonds. 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.

Do bonds or stocks have higher returns? ›

Stocks have historically delivered higher returns than bonds because there is a greater risk that, if the company fails, all of the stockholders' investment will be lost (unlike bondholders who might recoup fully or partially the principal of their lending).

Why do bonds have lower returns than stocks? ›

Stocks Are More Volatile Than Bonds

When you buy bonds, you're lending money, either to companies or to governments. Because creditors are paid before owners, it's riskier to own a company than it is to lend money, so the prices of stocks are more sensitive to changes in the economy.

What is the correlation between corporate bonds and stocks? ›

research report, government bonds have a negative correlation to stocks but corporate bonds do not. Investors with a longer time horizon will be better suited to stick with the right asset allocation than to try and time the market. In a low interest-rate environment, investors tend to favor stocks instead of bonds.

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