We explicitly solve for the optimal dynamic strategy between a riskless asset and a risky asset with momentum. The optimal portfolio weight depends not only on momentum that characterizes the expected return as in Merton (1971) framework, but also on the historical price path, unlike in Merton....

We introduce a heterogeneous agent asset pricing model in continuous-time to show that trend chasing, switching and herding all contribute to market volatility in price and return and volatility clustering, but their impact are different. On the one hand, the fluctuations of market price and...

We propose a continuous-time heterogeneous agent model consisting of fundamental, momentum, and contrarian traders to explain the significant time series momentum. We show that the market under-reacts in short-run and over-reacts in long-run when momentum traders dominate the market, which...