In this paper, we introduce a new approach for volatility modeling in discrete and continuous time.

In this paper, we provide both quantitative and quantitative measures of the cost of measuring the integrated volatility by the realized volatility when the frequency of observation is fixed.

We instillate rational cognition and learning in "seemingly riskless" choices and judgments. Preferences and possibilities are given in a stochastic sense and based on revisable expectations. The theory predicts experimental preference reversals and passes a sharp econometric test of the status...