When we implement a portfolio selection methodology under a mean-risk formulation, it is essential to correctly model investors' risk aversion which may be time-dependent, or even state-dependent during the investment procedure. In this paper, we propose a behavior risk aversion model, which is...

For time inconsistent multi-period mean-variance portfolio decision, we develop a two-tier planner-doer game model with self-control, in which planner and doers represent different interests of the same investor at different time instants and planner (the willpower to resist short term...

When a dynamic optimization problem is not decomposable by a stage-wise backward recursion, it is nonseparable in the sense of dynamic programming. The classical dynamic programming-based optimal stochastic control methods would fail in such nonseparable situations as the principle of optimality...

The discrete-time mean-variance portfolio selection formulation, a representative of general dynamic mean-risk portfolio selection problems, does not satisfy time consistency in efficiency (TCIE) in general, i.e., a truncated pre-committed efficient policy may become inefficient when considering...

Hidden orders are offered by many lit trading venues for participants to hide the true size of their orders. To help a risk-neutral trader executing a target volume to minimize the execution cost by benefitting from the setting of a limit order market allowing hidden orders, we propose a...

Since options in a portfolio can offset one another partially in terms of the market risk, the margin calculation for option portfolios is complicated due to its combinatorial nature. We consider in this technical note margining balanced option portfolios, in which the number of long positions...

We develop in this paper a novel portfolio selection framework with a feature of dual robustness in both return distribution modeling and portfolio optimization. While predicting the return distributions of the future market always represents the most compelling challenge in investment, any...

We develop a formal model to investigate the implications of bounded rationality for the origin and structure of loss aversion and optimism in marketplaces. Based on Simon's original description, we explicitly model bounded rationality as a decision mechanism that captures incomplete...

This paper revisits the efficiency of a rational expectations equilibrium model of a competitive market from the perspective of the incentive to social communication. The classical result tells us that the equilibrium price perfectly reveals all dispersed information in the market when the...