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A Capital Asset Pricing Model with Time-Varying Covariances

Tim Bollerslev; Robert F. Engle; Jeffrey M. Wooldridge

Journal of Political Economy 1988 open access

The capital asset pricing model provides a theoretical structure for the pricing of assets with uncertain returns. The premium to induc e risk-averse investors to bear risk is proportional to the nondivers ifiable risk, which is measured by the covariance of the asset return with the market portfolio return. In this paper, a multivariate, gen eralized-autoregressive, conditional, heteroscedastic process is esti mated for returns to bills, bonds, and stocks where the expected retu rn is proportional to the conditional covariance of each return with that of a fully diversified or market portfolio. It is found that the conditional covariances are quite variable over time and are a signi ficant determinant of the time-varying risk premia. The implied betas are also time varying and forecastable. Copyright 1988 by University of Chicago Press.

DOI
10.1086/261527
Volume
96 (1)
Pages
116-131
Language
en
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