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Temporal Aggregation and the Continuous-Time Capital Asset Pricing Model

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  • Longstaff, Francis A

Abstract

The author examines how the empirical implications of the capital asset pricing model (CAPM) are affected by the length of the period over which returns are measured. He shows that the continuous-time CAPM becomes a multifactor model when the asset pricing relation is aggregated temporally. He uses L. P. Hansen's generalized method of moments approach to test the continuous-time CAPM at an unconditional level using size portfolio returns. The results indicate that the continuous-time CAPM cannot be rejected. In contrast, the discrete-time CAPM is easily rejected by the tests. These results have a number of important implications for the interpretations of tests of the CAPM that have appeared in the literature. Copyright 1989 by American Finance Association.

Suggested Citation

  • Longstaff, Francis A, 1989. " Temporal Aggregation and the Continuous-Time Capital Asset Pricing Model," Journal of Finance, American Finance Association, vol. 44(4), pages 871-887, September.
  • Handle: RePEc:bla:jfinan:v:44:y:1989:i:4:p:871-87
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    Cited by:

    1. Berrada, Tony & Hugonnier, Julien, 2013. "Incomplete information, idiosyncratic volatility and stock returns," Journal of Banking & Finance, Elsevier, vol. 37(2), pages 448-462.
    2. Andrew Ang & Robert J. Hodrick & Yuhang Xing & Xiaoyan Zhang, 2006. "The Cross-Section of Volatility and Expected Returns," Journal of Finance, American Finance Association, vol. 61(1), pages 259-299, February.
    3. López-Herrera, Francisco & Valencia-Herrera, Humberto, 2016. "Hacia un Modelo de Valuación de Activos de Capital para México: Análisis de Activos Individuales con Coeficientes Variantes en el Tiempo," Panorama Económico, Escuela Superior de Economía, Instituto Politécnico Nacional, vol. 0(22), pages 75-103, primer se.
    4. Alessio Caldarera & Celso Brunetti, 2005. "Asset Prices and Asset Correlations in Illiquid Markets," 2005 Meeting Papers 288, Society for Economic Dynamics.
    5. Jin, Xing & Wang, Leping & Yu, Jun, 2007. "Temporal aggregation and risk-return relation," Finance Research Letters, Elsevier, vol. 4(2), pages 104-115, June.
    6. Tim Bollerslev & Sophia Zhengzi Li & Viktor Todorov, 2014. "Roughing up Beta: Continuous vs. Discontinuous Betas, and the Cross-Section of Expected Stock Returns," CREATES Research Papers 2014-48, Department of Economics and Business Economics, Aarhus University.
    7. Bollerslev, Tim & Li, Sophia Zhengzi & Todorov, Viktor, 2016. "Roughing up beta: Continuous versus discontinuous betas and the cross section of expected stock returns," Journal of Financial Economics, Elsevier, vol. 120(3), pages 464-490.
    8. Choi, Youngsoo & Wirjanto, Tony S., 2007. "An analytic approximation formula for pricing zero-coupon bonds," Finance Research Letters, Elsevier, vol. 4(2), pages 116-126, June.

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