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An Intertemporal Model of Asset Prices in a Markov Economy with a Limiting Stationary Distribution

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  • Kazemi, Hossein B

Abstract

A testable single-beta model of asset prices is presented. If state variables have a long-run stationary joint density function, then the rate return on a very long-term default-free discount bond will be perfectly correlated with the representative investor's marginal utility of consumption. Thus, the covariance of an asset's return with the return on such a bond will be an appropriate measure of the asset's riskiness. The model can be, therefore, applied.or tested even though the market portfolio or aggregate consumption may not be observable. It also is shown that the expected rate of return on a very long-term bond is equal to its variance. This proposition can be tested to determine whether state variables follow stationary processes. Article published by Oxford University Press on behalf of the Society for Financial Studies in its journal, The Review of Financial Studies.

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  • 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.
    • Handle: RePEc:oup:rfinst:v:5:y:1992:i:1:p:85-104
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    Cited by:

    1. Martin, Ian W. R. & Ross, Stephen A., 2019. "Notes on the yield curve," Journal of Financial Economics, Elsevier, vol. 134(3), pages 689-702.
    2. Jaroslav Borovička & Lars Peter Hansen & José A. Scheinkman, 2016. "Misspecified Recovery," Journal of Finance, American Finance Association, vol. 71(6), pages 2493-2544, December.
    3. Jensen, Christian Skov & Lando, David & Pedersen, Lasse Heje, 2019. "Generalized recovery," Journal of Financial Economics, Elsevier, vol. 133(1), pages 154-174.
    4. Hardouvelis, Gikas A. & Kim, Dongcheol & Wizman, Thierry A., 1996. "Asset pricing models with and without consumption data: An empirical evaluation," Journal of Empirical Finance, Elsevier, vol. 3(3), pages 267-301, September.
    5. Koijen, Ralph S.J. & Lustig, Hanno & Van Nieuwerburgh, Stijn, 2017. "The cross-section and time series of stock and bond returns," Journal of Monetary Economics, Elsevier, vol. 88(C), pages 50-69.
    6. 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.
    7. Christian Gilles & Stephen F. LeRoy, 1997. "Bubbles as payoffs at infinity (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(2), pages 261-281.
    8. Alvarez, Fernando & Jermann, Urban J., 2001. "The Size of the Permanent Component of Asset Pricing Kernels," Working Papers 01-4, University of Pennsylvania, Wharton School, Weiss Center.
    9. 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.

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