We study asset pricing with consumption frictions. Frictions in consumption include adjustment costs which prevent a consumer from adjusting consumption freely, due to transaction costs, commitments, search and learning costs, and psychological costs. The stochastic discount factor is determined...

We study a pure exchange economy with two groups of agents who exhibit different consumption patterns: one changes consumption immediately in response to shocks, but the other delays the response. We investigate the linkages among the consumption heterogeneity, business cycles, and asset returns...

We study the consumption and portfolio selection problem of an agent who faces consumption irreversibility: there is disutility from changing consumption levels. The derived preference exhibits intertemporal loss aversion toward consumption changes with the previous consumption level being the...

We study an optimal long-term labor contract that provides disability insurance benefits under two frictions: the agent cannot commit to a long-term contract and the disability shock is private information. We predict that a job with a high risk of disability should provide a higher level of...

We study an optimal consumption, investment, and retirement decision of an economic agent with borrowing constraints under a general class of utility functions. We transform the problem into a dual two-person zero-sum game, which involves two players: a stopper who is a maximizer and chooses a...

In this article we provide a short survey on continuous-time portfolio selection. We explain the pioneering contribution of Merton and the use of dynamic programming. Then, we discuss Bismut's application of the Pontryagin maximum principle to portfolio selection and the dual martingale...

We explore an optimal token holding and staking problem for cryptocurrency investors. Our investigation revolves around understanding the tradeoff between staking rewards/utility and the consequent illiquidity that emerges as a result of investor heterogeneity and the distinct structure of...

We study a continuous-time model of consumption and portfolio selection with the stochastic investment opportunity and the credit constraints endogenously determined in the business cycle modeled by the regime switch. By using the martingale approach and transformation into optimal stopping...