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Variance bounds on the permanent and transitory components of stochastic discount factors

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  • Bakshi, Gurdip
  • Chabi-Yo, Fousseni

Abstract

In this paper, we develop lower bounds on the variance of the permanent component and the transitory component, and on the variance of the ratio of the permanent to the transitory components of SDFs. Exactly solved eigenfunction problems are then used to study the empirical attributes of asset pricing models that incorporate long-run risk, external habit persistence, and rare disasters. Specific quantitative implications are developed for the variance of the permanent and the transitory components, the return behavior of the long-term bond, and the comovement between the transitory and the permanent components of SDFs.

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  • Bakshi, Gurdip & Chabi-Yo, Fousseni, 2012. "Variance bounds on the permanent and transitory components of stochastic discount factors," Journal of Financial Economics, Elsevier, vol. 105(1), pages 191-208.
    • Handle: RePEc:eee:jfinec:v:105:y:2012:i:1:p:191-208
    DOI: 10.1016/j.jfineco.2012.01.003
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    3. Xiaohong Chen & Lars Peter Hansen & Peter G. Hansen, 2020. "Robust identification of investor beliefs," Proceedings of the National Academy of Sciences, Proceedings of the National Academy of Sciences, vol. 117(52), pages 33130-33140, December.
    4. Likuan Qin & Vadim Linetsky, 2014. "Positive Eigenfunctions of Markovian Pricing Operators: Hansen-Scheinkman Factorization, Ross Recovery and Long-Term Pricing," Papers 1411.3075, arXiv.org, revised Sep 2015.
    5. Lars Peter Hansen, 2014. "Nobel Lecture: Uncertainty Outside and Inside Economic Models," Journal of Political Economy, University of Chicago Press, vol. 122(5), pages 945-987.
    6. Hanno Lustig & Andreas Stathopoulos & Adrien Verdelhan, 2013. "The Term Structure of Currency Carry Trade Risk Premia," NBER Working Papers 19623, National Bureau of Economic Research, Inc.
    7. Liu, Yan, 2021. "Index option returns and generalized entropy bounds," Journal of Financial Economics, Elsevier, vol. 139(3), pages 1015-1036.
    8. Nawalkha, Sanjay K & Zhuo, Xiaoyang, 2020. "A Theory of Equivalent Expectation Measures for Expected Prices of Contingent Claims," OSF Preprints hsxtu, Center for Open Science.
    9. Jaroslav Borovička & Lars Peter Hansen & José A. Scheinkman, 2016. "Misspecified Recovery," Journal of Finance, American Finance Association, vol. 71(6), pages 2493-2544, December.
    10. Fousseni Chabi-Yo & Riccardo Colacito, 2019. "The Term Structures of Coentropy in International Financial Markets," Management Science, INFORMS, vol. 65(8), pages 3541-3558, August.
    11. Bouaddi, Mohammed & Larocque, Denis & Normandin, Michel, 2015. "Equity premia and state-dependent risks," International Review of Economics & Finance, Elsevier, vol. 38(C), pages 393-409.
    12. Huang, MeiChi & Chiang, Hsiu-Hsuan, 2017. "An early alarm system for housing bubbles," The Quarterly Review of Economics and Finance, Elsevier, vol. 63(C), pages 34-49.
    13. Likuan Qin & Vadim Linetsky, 2014. "Long Term Risk: A Martingale Approach," Papers 1411.3078, arXiv.org, revised Oct 2016.
    14. Favero, Carlo A. & Tamoni, Andrea & Ortu, Fulvio & Yang, Haoxi, 2016. "Implications of Return Predictability across Horizons for Asset Pricing Models," CEPR Discussion Papers 11645, C.E.P.R. Discussion Papers.
    15. MeiChi Huang & Tzu-Chien Wang, 2015. "Housing-bubble vulnerability and diversification opportunities during housing boom–bust cycles: evidence from decomposition of asset price returns," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 54(2), pages 605-637, March.
    16. Likuan Qin & Vadim Linetsky, 2016. "The Long Bond, Long Forward Measure and Long-Term Factorization in Heath-Jarrow-Morton Models," Papers 1610.00818, arXiv.org, revised Jul 2017.
    17. Lustig, Hanno & Stathopoulos, Andreas & Verdelhan, Adrien, 2016. "Nominal Exchange Rate Stationarity and Long-Term Bond Returns," Research Papers 3411, Stanford University, Graduate School of Business.
    18. Likuan Qin & Vadim Linetsky, 2016. "Long-Term Factorization of Affine Pricing Kernels," Papers 1610.00778, arXiv.org, revised Jul 2017.
    19. Sanjay K. Nawalkha & Xiaoyang Zhuo, 2020. "A Theory of Equivalent Expectation Measures for Contingent Claim Returns," Papers 2006.15312, arXiv.org, revised May 2022.
    20. Likuan Qin & Vadim Linetsky, 2018. "Long-term factorization in Heath–Jarrow–Morton models," Finance and Stochastics, Springer, vol. 22(3), pages 621-641, July.
    21. Likuan Qin & Vadim Linetsky, 2016. "Positive Eigenfunctions of Markovian Pricing Operators: Hansen-Scheinkman Factorization, Ross Recovery, and Long-Term Pricing," Operations Research, INFORMS, vol. 64(1), pages 99-117, February.
    22. Mirela Sandulescu & Fabio Trojani & Andrea Vedolin, 2021. "Model‐Free International Stochastic Discount Factors," Journal of Finance, American Finance Association, vol. 76(2), pages 935-976, April.
    23. Likuan Qin & Vadim Linetsky & Yutian Nie, 2016. "Long Forward Probabilities, Recovery and the Term Structure of Bond Risk Premiums," Papers 1601.06477, arXiv.org.

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    More about this item

    Keywords

    Stochastic discount factors; Permanent component; Transitory component; Variance bounds; Eigenfunction problems;
    All these keywords.

    JEL classification:

    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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