Return Dynamics when Persistence is Unobservable

Mathematical Finance - Tập 11 Số 4 - Trang 415-445 - 2001
Timothy C. Johnson1
1London Business School

Tóm tắt

This paper proposes a new theory of the sources of time‐varying second (and higher) moments in financial time series. The key idea is that fully rational agents must infer the stochastic degree of persistence of fundamental shocks. Endogenous changes in their uncertainty determine the evolution of conditional moments of returns. The model accounts for the principal observed features of volatility dynamics and implies some new ones. Most strikingly, it implies a relationship between ex post trends, or momentum, and changes in volatility.

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