The relationship between the returns of equities and government bonds seems to be perpetually on the minds of investors. This is understandable. U.S. government bonds have come to be viewed as a safe-haven asset, providing relative stability in times of economic uncertainty and an effective hedge to portfolios often dominated by explicit or implicit equity risk. Indeed, government bonds have been good performers in nearly all recessions over the past 60 years. Furthermore, since the late 1990s the statistical correlation between these two asset classes has become consistently negative, resulting in a generation of investors who have become accustomed to viewing U.S. government bonds not just as a safe asset in times of economic distress but as an asset class that can reliably reduce portfolio volatility in nearly all markets.

In this paper, we tackle the relationship between stocks and bonds along several fronts. First, we examine the historical track record, showing how the correlation between these asset classes has changed over time and describing their performance in distressed environments. Second, we estimate a formal econometric model that allows for both short- and long-run dynamics between stock and bond yields. Importantly, our model allows for the critical impact of valuation, which can materially affect the forward-looking relationship between the two asset classes. Last, we highlight several historical episodes in which bond and equity yields moved dramatically and connect them to the results of our econometric model.

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The Author

Jamil Baz

Head of Client Solutions and Analytics

Steve Sapra

Client Solutions & Analytics

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Pacific Investment Management Company LLC, 650 Newport Center Drive, Newport Beach, CA 92660 is regulated by the United States Securities and Exchange Commission. | PIMCO Europe Ltd (Company No. 2604517), PIMCO Europe, Ltd Amsterdam Branch (Company No. 24319743), and PIMCO Europe Ltd- Italy (Company No. 07533910969) are authorised and regulated by the Financial Conduct Authority (25 The North Colonnade, Canary Wharf, London E14 5HS) in the UK. The Amsterdam and Italy Branches are additionally regulated by the AFM and CONSOB in accordance with Article 27 of the Italian Consolidated Financial Act, respectively. PIMCO Europe Ltd services and products are available only to professional clients as defined in the Financial Conduct Authority’s Handbook and are not available to individual investors, who should not rely on this communication. | PIMCO Deutschland GmbH(Company No. 192083, Seidlstr. 24-24a, 80335 Munich, Germany) is authorised and regulated by the German Federal Financial Supervisory Authority (BaFin) (Marie- Curie-Str. 24-28, 60439 Frankfurt am Main) in Germany in accordance with Section 32 of the German Banking Act (KWG). The services and products provided by PIMCO Deutschland GmbH are available only to professional clients as defined in Section 31a para. 2 German Securities Trading Act (WpHG). They are not available to individual investors, who should not rely on this communication. | PIMCO (Schweiz) GmbH (registered in Switzerland, Company No. CH-020.4.038.582-2), Brandschenkestrasse 41, 8002 Zurich, Switzerland, Tel: + 41 44 512 49 10. The services and products provided by PIMCO Switzerland GmbH are not available to individual investors, who should not rely on this communication but contact their financial adviser. | PIMCO Asia Pte Ltd (8 Marina View, #30-01, Asia Square Tower 1, Singapore 018960, Registration No. 199804652K) is regulated by the Monetary Authority of Singapore as a holder of a capital markets services licence and an exempt financial adviser. The asset management services and investment products are not available to persons where provision of such services and products is unauthorised. | PIMCO Asia Limited (Suite 2201, 22nd Floor, Two International Finance Centre, No. 8 Finance Street, Central, Hong Kong) is licensed by the Securities and Futures Commission for Types 1, 4 and 9 regulated activities under the Securities and Futures Ordinance. The asset management services and investment products are not available to persons where provision of such services and products is unauthorised. | PIMCO Australia Pty Ltd ABN 54 084 280 508, AFSL 246862 (PIMCO Australia) offers products and services to both wholesale and retail clients as defined in the Corporations Act 2001 (limited to general financial product advice in the case of retail clients). This communication is provided for general information only without taking into account the objectives, financial situation or needs of any particular investors. | PIMCO Japan Ltd (Toranomon Towers Office 18F, 4-1-28, Toranomon, Minato-ku, Tokyo, Japan 105-0001) Financial Instruments Business Registration Number is Director of Kanto Local Finance Bureau (Financial Instruments Firm) No.382. PIMCO Japan Ltd is a member of Japan Investment Advisers Association and The Investment Trusts Association, Japan. Investment management products and services offered by PIMCO Japan Ltd are offered only to persons within its respective jurisdiction, and are not available to persons where provision of such products or services is unauthorized. Valuations of assets will fluctuate based upon prices of securities and values of derivative transactions in the portfolio, market conditions, interest rates, and credit risk, among others. Investments in foreign currency denominated assets will be affected by foreign exchange rates. There is no guarantee that the principal amount of the investment will be preserved, or that a certain return will be realized; the investment could suffer a loss. All profits and losses incur to the investor. The amounts, maximum amounts and calculation methodologies of each type of fee and expense and their total amounts will vary depending on the investment strategy, the status of investment performance, period of management and outstanding balance of assets and thus such fees and expenses cannot be set forth herein. | PIMCO Canada Corp. (199 Bay Street, Suite 2050, Commerce Court Station, P.O. Box 363, Toronto, ON, M5L 1G2) services and products may only be available in certain provinces or territories of Canada and only through dealers authorized for that purpose. | PIMCO Latin America Edifício Internacional Rio Praia do Flamengo, 154 1° andar, Rio de Janeiro – RJ Brasil 22210-906.

Past performance is not a guarantee or a reliable indicator of future results.  All investments contain risk and may lose value.  Investing in the bond market is subject to risks, including market, interest rate, issuer, credit, inflation risk, and liquidity risk. The value of most bonds and bond strategies are impacted by changes in interest rates. Bonds and bond strategies with longer durations tend to be more sensitive and volatile than those with shorter durations; bond prices generally fall as interest rates rise, and the current low interest rate environment increases this risk. Current reductions in bond counterparty capacity may contribute to decreased market liquidity and increased price volatility. Bond investments may be worth more or less than the original cost when redeemed. Equities may decline in value due to both real and perceived general market, economic and industry conditions. Sovereign securities are generally backed by the issuing government. Obligations of U.S. government agencies and authorities are supported by varying degrees, but are generally not backed by the full faith of the U.S. government. Portfolios that invest in such securities are not guaranteed and will fluctuate in value. The correlation of various indexes or securities against one another or against inflation is based upon data over a certain time period. These correlations may vary substantially in the future or over different time periods that can result in greater volatility.

Forecasts, estimates and certain information contained herein are based upon proprietary research and should not be considered as investment advice or a recommendation of any particular security, strategy or investment product. No representation is being made that any account, product, or strategy will or is likely to achieve profits, losses, or results similar to those shown. Hypothetical and forecasted performance results have several inherent limitations. Unlike an actual performance record, these results do not do not reflect actual trading, liquidity constraints, fees, and/or other costs. There are numerous other factors related to the markets in general or the implementation of any specific investment strategy, which cannot be fully accounted for in the preparation of simulated or forecasted results and all of which can adversely affect actual results. In addition, references to future results should not be construed as an estimate or promise of results that a client portfolio may achieve.

In the analysis contained herein, PIMCO has outlined hypothetical event scenarios which, in theory, would impact yields and returns as illustrated in this analysis. No representation is being made that these scenarios are likely to occur or that any portfolio is likely to achieve profits, losses, or results similar to those shown. The scenarios presented do not represent all possible outcomes and the analysis does not take into account all aspects of risk.

References to specific issuers are not intended and should not be interpreted as recommendations to purchase, sell or hold securities of those issuers. PIMCO products and strategies may or may not include the securities of the issuers referenced and, if such securities are included, no representation is being made that such securities will continue to be included.

This material contains the current opinions of the manager and such opinions are subject to change without notice.  This material is distributed for informational purposes only and should not be considered as investment advice or a recommendation of any particular security, strategy or investment product. Information contained herein has been obtained from sources believed to be reliable, but not guaranteed.

PIMCO provides services only to qualified institutions and investors. This is not an offer to any person in any jurisdiction where unlawful or unauthorized. | Pacific Investment Management Company LLC, 650 Newport Center Drive, Newport Beach, CA 92660 is regulated by the United States Securities and Exchange Commission. | PIMCO Europe Ltd (Company No. 2604517) and PIMCO Europe Ltd - Italy (Company No. 07533910969) are authorised and regulated by the Financial Conduct Authority (25 The North Colonnade, Canary Wharf, London E14 5HS) in the UK. The Italy branch is additionally regulated by the Commissione Nazionale per le Società e la Borsa (CONSOB) in accordance with Article 27 of the Italian Consolidated Financial Act. PIMCO Europe Ltd services are available only to professional clients as defined in the Financial Conduct Authority’s Handbook and are not available to individual investors, who should not rely on this communication. | PIMCO Deutschland GmbH (Company No. 192083, Seidlstr. 24-24a, 80335 Munich, Germany), PIMCO Deutschland GmbH Italian Branch (Company No. 10005170963) and PIMCO Deutschland GmbH Swedish Branch (SCRO Reg. No. 516410-9190) are authorised and regulated by the German Federal Financial Supervisory Authority (BaFin) (Marie- Curie-Str. 24-28, 60439 Frankfurt am Main) in Germany in accordance with Section 32 of the German Banking Act (KWG). The Italian Branch and Swedish Branch are additionally supervised by the Commissione Nazionale per le Società e la Borsa (CONSOB) in accordance with Article 27 of the Italian Consolidated Financial Act and the Swedish Financial Supervisory Authority (Finansinspektionen) in accordance with Chapter 25 Sections 12-14 of the Swedish Securities Markets Act, respectively. The services provided by PIMCO Deutschland GmbH are available only to professional clients as defined in Section 67 para. 2 German Securities Trading Act (WpHG). They are not available to individual investors, who should not rely on this communication. | PIMCO (Schweiz) GmbH (registered in Switzerland, Company No. CH-020.4.038.582-2), Brandschenkestrasse 41, 8002 Zurich, Switzerland, Tel: + 41 44 512 49 10. The services provided by PIMCO (Schweiz) GmbH are not available to individual investors, who should not rely on this communication but contact their financial adviser. | PIMCO Asia Pte Ltd (8 Marina View, #30-01, Asia Square Tower 1, Singapore 018960, Registration No. 199804652K) is regulated by the Monetary Authority of Singapore as a holder of a capital markets services licence and an exempt financial adviser. The asset management services and investment products are not available to persons where provision of such services and products is unauthorised. | PIMCO Asia Limited (Suite 2201, 22nd Floor, Two International Finance Centre, No. 8 Finance Street, Central, Hong Kong) is licensed by the Securities and Futures Commission for Types 1, 4 and 9 regulated activities under the Securities and Futures Ordinance. The asset management services and investment products are not available to persons where provision of such services and products is unauthorised. | PIMCO Australia Pty Ltd ABN 54 084 280 508, AFSL 246862 (PIMCO Australia). This publication has been prepared without taking into account the objectives, financial situation or needs of investors. Before making an investment decision, investors should obtain professional advice and consider whether the information contained herein is appropriate having regard to their objectives, financial situation and needs. | PIMCO Japan Ltd (Toranomon Towers Office 18F, 4-1-28, Toranomon, Minato-ku, Tokyo, Japan 105-0001) Financial Instruments Business Registration Number is Director of Kanto Local Finance Bureau (Financial Instruments Firm) No. 382. PIMCO Japan Ltd is a member of Japan Investment Advisers Association and The Investment Trusts Association, Japan. Investment management products and services offered by PIMCO Japan Ltd are offered only to persons within its respective jurisdiction, and are not available to persons where provision of such products or services is unauthorized. Valuations of assets will fluctuate based upon prices of securities and values of derivative transactions in the portfolio, market conditions, interest rates and credit risk, among others. Investments in foreign currency denominated assets will be affected by foreign exchange rates. There is no guarantee that the principal amount of the investment will be preserved, or that a certain return will be realized; the investment could suffer a loss. All profits and losses incur to the investor. The amounts, maximum amounts and calculation methodologies of each type of fee and expense and their total amounts will vary depending on the investment strategy, the status of investment performance, period of management and outstanding balance of assets and thus such fees and expenses cannot be set forth herein. | PIMCO Canada Corp. (199 Bay Street, Suite 2050, Commerce Court Station, P.O. Box 363, Toronto, ON, M5L 1G2) services and products may only be available in certain provinces or territories of Canada and only through dealers authorized for that purpose. | PIMCO Latin America Edifício Internacional Rio Praia do Flamengo, 154 1o andar, Rio de Janeiro – RJ Brasil 22210-906. | No part of this publication may be reproduced in any form, or referred to in any other publication, without express written permission. PIMCO is a trademark of Allianz Asset Management of America L.P. in the United States and throughout the world. ©2018, PIMCO..

CMR2018-0223-318611