Abstract

Many statistical models of time-varying risk premiums, including the autoregressive conditional heteroskedasticity-in-mean, attempt to exploit a relation between risk premiums and conditional variances or covariances of asset returns. The authors examine this relation in numerical versions of a dynamic asset-pricing theory and show that it can be increasing, decreasing, flat, or nonmonotonic. Its shape depends on both the preferences of the representative agent and the stochastic structure of the economy. Without additional structure, the theory does not provide either a general foundation for autoregressive conditional heteroskedasticity-in-mean specifications or a simple interpretation of their parameters. (This abstract was borrowed from another version of this item.)

Keywords

EconometricsEconomicsRisk premiumMathematicsConditional varianceConditional expectationStatisticsAutoregressive conditional heteroskedasticityVolatility (finance)

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Year
1993
Type
article
Volume
11
Issue
2
Pages
177-177
Citations
52
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David Backus, Allan W. Gregory (1993). Theoretical Relations between Risk Premiums and Conditional Variances. Journal of Business and Economic Statistics , 11 (2) , 177-177. https://doi.org/10.2307/1391369

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DOI
10.2307/1391369