When the imminence of news announcements is not public knowledge, many trad
ers will lack information on both the mean and Variance of private informat
ion. Our analysis of such a setting in both single and multisecurity contex
ts implies that disclosure of impending information events by Arms can boun
d variance uncertainty and thereby improve investor welfare by mitigating t
he market breakdown problem. We also find that the equilibrium pricing func
tions are nonlinear; specifically, convex for small trades and concave for
larger ones. In addition, we predict that large transactions will be follow
ed by large levels of volatility. Journal of Economic Literature Classifica
tion Numbers: 022, 026, 522. (C) 2000 Academic Press.