@techreport{NBERw2956, title = "Heteroskedasticity in Stock Returns", author = "G. William Schwert and Paul J. Seguin", institution = "National Bureau of Economic Research", type = "Working Paper", series = "Working Paper Series", number = "2956", year = "1991", month = "February", URL = "http://www.nber.org/papers/w2956", abstract = {We use predictions of aggregate stock return variances from daily data to estimate time varying monthly variances for size-ranked portfolios. We propose and estimate a single factor model of heteroskedasticity for portfolio returns. This model implies time-varying betas. Implications of heteroskedasticity and time-varying betas for tests of the capital asset pricing model (CAPM) are then documented. Accounting for heteroskedasticity increases the evidence that risk-adjusted returns are related to firm size. We also estimate a constant correlation model. Portfolio volatilities predicted by this model are similar to those predicted by more complex multivariate generalized-autoregressive- conditional- heteroskedasticity (GARCH) procedures.}, }