The representative agent paradigm with homogeneous expectations has been the dominant framework for the development of theories in portfolio analysis, equilibrium asset pricing and derivative pricing. Homogeneous expectations is the major assumption underlining the most widely used financial...

The market selection depends on agent's survival index, which is a function of agent's belief and risk preference. When preferences are identical, the survival index of an agent is a decreasing function of his belief accuracy and therefore agent survives if and only if he has the lowest survival...

When agents have irrational beliefs which are rational on average, it has been shown that the effect of their trades does not cancel out in general and can lead to time variations in market price of risk and volatility. In this paper, we follow the differences-in-opinion approach and show that...

When agents agree to disagree about the expected growth rate of the aggregate endowment process, we study the asset price dynamics under "Keeping up with the Joneses" (KUJ) meaning that each agent maximizes the expected life-time CRRA utility of his relative consumption to the other agent in the...

The aim of this paper is to find the optimal level of position limit for the Chinese Stock Index (CSI) 300 futures market. A small position limit helps to prevent price manipulations in the spot market, thus able to keep the magnitude of instantaneous price changes within policy makers'...

When people agree to disagree, this paper examines the impact of the disagreement among agents on market equilibrium and equity premium. Within the standard mean variance framework, we consider a market of two risky assets, a riskless asset and two (and then a continuum of) agents who have...

With the standard mean variance framework, by assuming heterogeneity and bounded rationality of investors, this paper examines their impact on the market equilibrium and implications to the portfolio analysis. By constructing a market consensus belief, we establish market equilibrium prices of...

When simulating discrete time approximations of solutions of stochastic differential equations (SDEs), numerical stability is clearly more important than numerical efficiency or some higher order of convergence. Discrete time approximations of solutions of SDEs are widely used in simulations in...

As the main building blocks of the modern finance theory, homogeneity and rational expectation have faced difficulty in explaining many market anomalies, stylized factors, and market inefficiency in empirical studies. As a result, heterogeneity and bounded rationality have been used as an...

This paper examines the effect of behavioral sentiment in a limit order market when agents are risk averse and arrive in the market with different time horizons. The order submission rules with respect to order type and size are determined by maximizing the expected utility of agents with...