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A frequency decomposition of approximation errors in stochastic discount factor models

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  • Timothy Cogley

Abstract

This paper extends the work of Hansen and Jagannathan (1997) by showing how to decompose approximation errors in stochastic discount factor models by frequency. This decomposition is applied to a number of prominent consumption-based discount factor models top investigate how well they fit at low frequencies. There is some evidence of improved fit at low frequencies, but only in models with high degrees of risk aversion. In models with low degrees of risk aversion, approximation errors at low frequencies are just as severe as those at high frequencies.

Suggested Citation

  • Timothy Cogley, 1997. "A frequency decomposition of approximation errors in stochastic discount factor models," Working Papers in Applied Economic Theory 97-04, Federal Reserve Bank of San Francisco.
    • Handle: RePEc:fip:fedfap:97-04
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    Cited by:

    1. Tan, Fei, 2018. "A Frequency-Domain Approach to Dynamic Macroeconomic Models," MPRA Paper 90487, University Library of Munich, Germany.
    2. Bandi, Federico M. & Chaudhuri, Shomesh E. & Lo, Andrew W. & Tamoni, Andrea, 2021. "Spectral factor models," Journal of Financial Economics, Elsevier, vol. 142(1), pages 214-238.
    3. Jozef Baruník & Evžen KoÄ enda, 2019. "Total, Asymmetric and Frequency Connectedness between Oil and Forex Markets," The Energy Journal, , vol. 40(2_suppl), pages 157-174, December.
    4. Chang-Chih Chen & Chia-Chien Chang, 2019. "How Big are the Ambiguity-Based Premiums on Mortgage Insurances?," The Journal of Real Estate Finance and Economics, Springer, vol. 58(1), pages 133-157, January.
    5. Bandi, Federico M. & Tamoni, Andrea, 2023. "Business-cycle consumption risk and asset prices," Journal of Econometrics, Elsevier, vol. 237(2).
    6. Gazi Salah Uddin & Muhammad Yahya & Ali Ahmed & Donghyun Park & Shu Tian, 2024. "In search of light in the darkness: What can we learn from ethical, sustainable and green investments?," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 29(2), pages 1451-1495, April.
    7. Christiano, Lawrence J. & Vigfusson, Robert J., 2003. "Maximum likelihood in the frequency domain: the importance of time-to-plan," Journal of Monetary Economics, Elsevier, vol. 50(4), pages 789-815, May.
    8. Luca Sala, 2015. "Dsge Models in the Frequency Domains," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 30(2), pages 219-240, March.
    9. Otrok, Christopher & Ravikumar, B. & Whiteman, Charles H., 2007. "A generalized volatility bound for dynamic economies," Journal of Monetary Economics, Elsevier, vol. 54(8), pages 2269-2290, November.
    10. Brož, Václav & Kočenda, Evžen, 2022. "Mortgage-related bank penalties and systemic risk among U.S. banks," Journal of International Money and Finance, Elsevier, vol. 122(C).
    11. Muhammad Abubakr Naeem & Mudassar Hasan & Abraham Agyemang & Md Iftekhar Hasan Chowdhury & Faruk Balli, 2023. "Time‐frequency dynamics between fear connectedness of stocks and alternative assets," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 28(2), pages 2188-2201, April.
    12. Chen, Chang-Chih & Ho, Kung-Cheng & Yan, Cheng & Yeh, Chung-Ying & Yu, Min-Teh, 2023. "Does ambiguity matter for corporate debt financing? Theory and evidence," Journal of Corporate Finance, Elsevier, vol. 80(C).
    13. Caporin, Massimiliano & Naeem, Muhammad Abubakr & Arif, Muhammad & Hasan, Mudassar & Vo, Xuan Vinh & Hussain Shahzad, Syed Jawad, 2021. "Asymmetric and time-frequency spillovers among commodities using high-frequency data," Resources Policy, Elsevier, vol. 70(C).
    14. Neuhierl, Andreas & Varneskov, Rasmus T., 2021. "Frequency dependent risk," Journal of Financial Economics, Elsevier, vol. 140(2), pages 644-675.
    15. Kang, Byoung Uk & In, Francis & Kim, Tong Suk, 2017. "Timescale betas and the cross section of equity returns: Framework, application, and implications for interpreting the Fama–French factors," Journal of Empirical Finance, Elsevier, vol. 42(C), pages 15-39.

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