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Decomposing Long Bond Returns: A Decentralized Theory

Author

Listed:
  • Peter Carr
  • Liuren Wu
Abstract
Classic bond pricing centralizes bond valuation across all maturities by specifying the dynamics of the short-term interest rate. This article develops a decentralized theory that prices each bond based purely on the near-term behavior of the bond’s own yield. The theory levers the domain expertise of an investor on a particular bond and allows the investor to make pricing and investment analysis on the bond without the shackles of an ambitious centralizing mandate. The theory decomposes the short-term return on a bond with respect to the variation of its own yield. Imposing no dynamic arbitrage on the return decomposition leads to a simple pricing equation relating the bond yield to the market pricing and conditional mean and variance forecasts of the yield’s near-term change. The article illustrates the theory’s applications in decentralized investment of a single bond and in the construction and investment of decentralized butterfly bond portfolios.

Suggested Citation

  • Peter Carr & Liuren Wu, 2023. "Decomposing Long Bond Returns: A Decentralized Theory," Review of Finance, European Finance Association, vol. 27(3), pages 997-1026.
  • Handle: RePEc:oup:revfin:v:27:y:2023:i:3:p:997-1026.
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    File URL: http://hdl.handle.net/10.1093/rof/rfac053
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    References listed on IDEAS

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    1. Michael D. Bauer & Glenn D. Rudebusch, 2020. "Interest Rates under Falling Stars," American Economic Review, American Economic Association, vol. 110(5), pages 1316-1354, May.
    2. Ivo Welch & Amit Goyal, 2008. "A Comprehensive Look at The Empirical Performance of Equity Premium Prediction," The Review of Financial Studies, Society for Financial Studies, vol. 21(4), pages 1455-1508, July.
    3. Ilan Cooper, 2009. "Time-Varying Risk Premiums and the Output Gap," The Review of Financial Studies, Society for Financial Studies, vol. 22(7), pages 2601-2633, July.
    4. Daniele Bianchi & Matthias Büchner & Tobias Hoogteijling & Andrea Tamoni, 2021. "Corrigendum: Bond Risk Premiums with Machine Learning [Bond risk premiums with machine learning]," The Review of Financial Studies, Society for Financial Studies, vol. 34(2), pages 1090-1103.
    5. Black, Fischer, 1995. "Interest Rates as Options," Journal of Finance, American Finance Association, vol. 50(5), pages 1371-1376, December.
    6. John C. Cox & Jonathan E. Ingersoll Jr. & Stephen A. Ross, 2005. "A Theory Of The Term Structure Of Interest Rates," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 5, pages 129-164, World Scientific Publishing Co. Pte. Ltd..
    7. Robin Greenwood & Dimitri Vayanos, 2014. "Bond Supply and Excess Bond Returns," The Review of Financial Studies, Society for Financial Studies, vol. 27(3), pages 663-713.
    8. Diebold, Francis X & Mariano, Roberto S, 2002. "Comparing Predictive Accuracy," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 134-144, January.
    9. Scott Joslin & Marcel Priebsch & Kenneth J. Singleton, 2014. "Risk Premiums in Dynamic Term Structure Models with Unspanned Macro Risks," Journal of Finance, American Finance Association, vol. 69(3), pages 1197-1233, June.
    10. Pierluigi Balduzzi & Sanjiv Ranjan Das & Silverio Foresi, 1998. "The Central Tendency: A Second Factor In Bond Yields," The Review of Economics and Statistics, MIT Press, vol. 80(1), pages 62-72, February.
    11. Krippner, Leo, 2013. "Measuring the stance of monetary policy in zero lower bound environments," Economics Letters, Elsevier, vol. 118(1), pages 135-138.
    12. Daniele Bianchi & Matthias Büchner & Andrea Tamoni, 2021. "Bond Risk Premiums with Machine Learning [Quadratic term structure models: Theory and evidence]," The Review of Financial Studies, Society for Financial Studies, vol. 34(2), pages 1046-1089.
    13. Michael Woodford, 1999. "Optimal Monetary Policy Inertia," Manchester School, University of Manchester, vol. 67(s1), pages 1-35.
    14. Kim, Don H. & Orphanides, Athanasios, 2012. "Term Structure Estimation with Survey Data on Interest Rate Forecasts," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 47(1), pages 241-272, February.
    15. Massoud Heidari & Liuren Wu, 2010. "Market Anticipation of Fed Policy Changes and the Term Structure of Interest Rates," Review of Finance, European Finance Association, vol. 14(2), pages 313-342.
    16. Stefano Giglio & Bryan Kelly, 2018. "Excess Volatility: Beyond Discount Rates," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 133(1), pages 71-127.
    17. Qiang Dai & Kenneth J. Singleton, 2000. "Specification Analysis of Affine Term Structure Models," Journal of Finance, American Finance Association, vol. 55(5), pages 1943-1978, October.
    18. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
    19. Bali, Turan & Heidari, Massoud & Wu, Liuren, 2009. "Predictability of Interest Rates and Interest-Rate Portfolios," Journal of Business & Economic Statistics, American Statistical Association, vol. 27(4), pages 517-527.
    20. Sydney C. Ludvigson & Serena Ng, 2009. "Macro Factors in Bond Risk Premia," The Review of Financial Studies, Society for Financial Studies, vol. 22(12), pages 5027-5067, December.
    21. Hua, Jian & Wu, Liuren, 2018. "Monetary-Policy Rule as a Bridge: Predicting Inflation without Predictive Regressions," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 53(6), pages 2559-2586, December.
    22. Vasicek, Oldrich Alfonso, 1977. "Abstract: An Equilibrium Characterization of the Term Structure," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(4), pages 627-627, November.
    23. John Y. Campbell & Robert J. Shiller, 1991. "Yield Spreads and Interest Rate Movements: A Bird's Eye View," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(3), pages 495-514.
    24. Anna Cieslak & Pavol Povala, 2015. "Expected Returns in Treasury Bonds," The Review of Financial Studies, Society for Financial Studies, vol. 28(10), pages 2859-2901.
    25. Newey, Whitney & West, Kenneth, 2014. "A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance matrix," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 33(1), pages 125-132.
    26. Gregory R. Duffee, 2011. "Information in (and not in) the Term Structure," The Review of Financial Studies, Society for Financial Studies, vol. 24(9), pages 2895-2934.
    27. Harvey, David & Leybourne, Stephen & Newbold, Paul, 1997. "Testing the equality of prediction mean squared errors," International Journal of Forecasting, Elsevier, vol. 13(2), pages 281-291, June.
    28. Jefferson Duarte & Francis A. Longstaff & Fan Yu, 2007. "Risk and Return in Fixed-Income Arbitrage: Nickels in Front of a Steamroller?," The Review of Financial Studies, Society for Financial Studies, vol. 20(3), pages 769-811.
    29. Fama, Eugene F & Bliss, Robert R, 1987. "The Information in Long-Maturity Forward Rates," American Economic Review, American Economic Association, vol. 77(4), pages 680-692, September.
    30. Dybvig, Philip H & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1996. "Long Forward and Zero-Coupon Rates Can Never Fall," The Journal of Business, University of Chicago Press, vol. 69(1), pages 1-25, January.
    31. Calvet, Laurent E. & Fisher, Adlai J. & Wu, Liuren, 2018. "Staying on Top of the Curve: A Cascade Model of Term Structure Dynamics," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 53(2), pages 937-963, April.
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    More about this item

    Keywords

    Bond return decomposition; Yield decomposition; Duration; Convexity; Carry effect; Expectation; Risk premium; Local commonality; Butterfly trades;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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