Social interaction contributes to stochastic volatility and momentum in financial markets. By developing a simple evolutionary model of asset pricing and population game, we incorporate social interaction among investors with information uncertainty and show that social interaction leads to the...

Traditionally, observed fluctuations in aggregate economic time series have been mainly modeled as being the result of exogenous disturbances. A better understanding of macroeconomic phenomena, however, surely requires looking directly at the relations between variables that may trigger...

Traditionally, observed fluctuations in aggregate economic time series have been mainly modelled as being the result of exogenous disturbances. A better understanding of macroeconomic phenomena, however, surely requires looking directly at the relations between variables that may trigger...

We consider fundamental questions of arbitrage pricing arising when the uncertainty model is given by a set of possible mutually singular probability measures. With a single probability model, essential equivalence between the absence of arbitrage and the existence of an equivalent martingale...

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...

This paper provides a closed-form solution for the price-dividend ratio in a standard asset pricing model with stochastic volatility. The solution is useful in allowing comparisons among numerical methods used to approximate the non-trivial closed-form

For many financial applications, it is important to have reliable and tractable models for the behavior of assets and indexes, for example in risk evaluation. A successful approach is based on ARCH processes, which strike the right balance between statistical properties and ease of computation....