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Consumption Correlatedness and Risk Measurement in Economies with Non trade Assets and Heterogeneous Information

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  • Sanford J. Grossman
  • Robert J. Shiller

Abstract

The consumption beta theorem of Breeden makes the expected return on any asset a function only of its covariance with changes in aggregate consumption. It is shown that the theorem is more robust than was indicated by Breeden. The theorem obtains even if one deletes Breeden's assumptions that (a) all risky assets are tradable, (b) investors have homogeneous beliefs, (c) other assets can be traded without transactions costs and (d) that all assets have returns which are Ito processes.

Suggested Citation

  • Sanford J. Grossman & Robert J. Shiller, 1981. "Consumption Correlatedness and Risk Measurement in Economies with Non trade Assets and Heterogeneous Information," NBER Working Papers 0690, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberwo:0690
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    1. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
    2. Breeden, Douglas T., 1979. "An intertemporal asset pricing model with stochastic consumption and investment opportunities," Journal of Financial Economics, Elsevier, vol. 7(3), pages 265-296, September.
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