It appears that volatility in equity markets is asymmetric: returns and conditional volatility are negatively … correlated. We provide a unified framework to simultaneously investigate asymmetric volatility at the firm and the market level … empirical evidence on asymmetry to Japanese stocks. Although volatility asymmetry is present and significant at the market and …

Recently there has been a great deal of interest in modeling volatility fluctuations. ARCH models, for example, provide … parsimonious approximations to volatility dynamics. Here we provide a selective amount of certain aspects of conditional volatility …

a GARCH process for conditional volatility. Under such heteroskedasticity, OLS estimators or parameters in single …

It is sometimes argued that an increase in stock market volatility raises required stock returns, and thus lowers stock … for this volatility feedback effect. The resulting model is asymmetric, because volatility feedback amplifies large … for large crashes. The model also implies that volatility feedback is more important when volatility is high. In U …

This paper compares several statistical models for monthly stock return volatility. The focus is on U.S. data from 1834 … volatility that are inconsistent with stationary models for conditional heteroskedasticity, We show the importance of … of stock volatility, even over the 1834-1925 period …