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Notes on the yield curve

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  • Martin, Ian
  • Ross, Steve

Abstract

We study the properties of the yield curve under the assumptions that (i) the fixed-income market is complete and (ii) the state vector that drives interest rates follows a finite discrete-time Markov chain. We focus in particular on the relationship between the behavior of the long end of the yield curve and the recovered time discount factor and marginal utilities of a pseudo-representative agent; and on the relationship between the “trappedness” of an economy and the convergence of yields at the long end.

Suggested Citation

  • Martin, Ian & Ross, Steve, 2019. "Notes on the yield curve," LSE Research Online Documents on Economics 90208, London School of Economics and Political Science, LSE Library.
    • Handle: RePEc:ehl:lserod:90208
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    File URL: http://eprints.lse.ac.uk/90208/
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    References listed on IDEAS

    as
    1. Ian W. R. Martin & Christian Wagner, 2019. "What Is the Expected Return on a Stock?," Journal of Finance, American Finance Association, vol. 74(4), pages 1887-1929, August.
    2. Backus, David K. & Gregory, Allan W. & Zin, Stanley E., 1989. "Risk premiums in the term structure : Evidence from artificial economies," Journal of Monetary Economics, Elsevier, vol. 24(3), pages 371-399, November.
    3. 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.
    4. Lars Peter Hansen & José A. Scheinkman, 2009. "Long-Term Risk: An Operator Approach," Econometrica, Econometric Society, vol. 77(1), pages 177-234, January.
    5. John H. Cochrane & Monika Piazzesi, 2005. "Bond Risk Premia," American Economic Review, American Economic Association, vol. 95(1), pages 138-160, March.
    6. Fernando Alvarez & Urban J. Jermann, 2005. "Using Asset Prices to Measure the Persistence of the Marginal Utility of Wealth," Econometrica, Econometric Society, vol. 73(6), pages 1977-2016, November.
    7. Breeden, Douglas T & Litzenberger, Robert H, 1978. "Prices of State-contingent Claims Implicit in Option Prices," The Journal of Business, University of Chicago Press, vol. 51(4), pages 621-651, October.
    8. Ian Martin, 2017. "What is the Expected Return on the Market?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 132(1), pages 367-433.
    9. Ramsey, James B & Rothman, Philip, 1996. "Time Irreversibility and Business Cycle Asymmetry," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 28(1), pages 1-21, February.
    10. Jensen, Christian Skov & Lando, David & Pedersen, Lasse Heje, 2019. "Generalized recovery," Journal of Financial Economics, Elsevier, vol. 133(1), pages 154-174.
    11. Lukas Kremens & Ian Martin, 2019. "The Quanto Theory of Exchange Rates," American Economic Review, American Economic Association, vol. 109(3), pages 810-843, March.
    12. Gurdip Bakshi & Fousseni Chabi-Yo & Xiaohui Gao, 2018. "A Recovery that We Can Trust? Deducing and Testing the Restrictions of the Recovery Theorem," The Review of Financial Studies, Society for Financial Studies, vol. 31(2), pages 532-555.
    13. Steve Ross, 2015. "The Recovery Theorem," Journal of Finance, American Finance Association, vol. 70(2), pages 615-648, April.
    14. Kazemi, Hossein B, 1992. "An Intertemporal Model of Asset Prices in a Markov Economy with a Limiting Stationary Distribution," The Review of Financial Studies, Society for Financial Studies, vol. 5(1), pages 85-104.
    15. 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.
    16. 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.
    17. Bansal, Ravi & Lehmann, Bruce N., 1997. "Growth-Optimal Portfolio Restrictions On Asset Pricing Models," Macroeconomic Dynamics, Cambridge University Press, vol. 1(2), pages 333-354, June.
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    Cited by:

    1. Jensen, Christian Skov & Lando, David & Pedersen, Lasse Heje, 2019. "Generalized recovery," Journal of Financial Economics, Elsevier, vol. 133(1), pages 154-174.
    2. MacDonald, Iain L. & Pienaar, Etienne A.D., 2021. "Fitting a reversible Markov chain by maximum likelihood: Converting an awkwardly constrained optimization problem to an unconstrained one," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 561(C).
    3. Lancia, Francesco & Russo, Alessia & Worrall, Tim S, 2020. "Optimal Sustainable Intergenerational Insurance," CEPR Discussion Papers 15540, C.E.P.R. Discussion Papers.
    4. Narayana R. Kocherlakota, 2023. "Infinite Debt Rollover in Stochastic Economies," Econometrica, Econometric Society, vol. 91(5), pages 1629-1658, September.
    5. Borovička, Jaroslav & Stachurski, John, 2021. "Stability of equilibrium asset pricing models: A necessary and sufficient condition," Journal of Economic Theory, Elsevier, vol. 193(C).
    6. Hansen, Stephen & McMahon, Michael & Tong, Matthew, 2019. "The long-run information effect of central bank communication," Journal of Monetary Economics, Elsevier, vol. 108(C), pages 185-202.
    7. Martin, Ian, 2018. "Options and the Gamma Knife," LSE Research Online Documents on Economics 88077, London School of Economics and Political Science, LSE Library.

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    More about this item

    Keywords

    yield curve; term structure; recovery theorem; traps; Cheeger inequality; eigenvalue gap;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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