Abstract

In this study, we investigates the time-inconsistent agent's optimal consumption, life insurance purchase, and investment decisions under a tax system. We find analytically that the marginal propensity to consume (MPC) for the time-inconsistent (naïve or sophisticated) agent is larger than that of the time-consistent agents. Based on the numerical results, we show that the time-inconsistent preferences result in a lower demand for life insurance, which may explain why people purchase insufficient life insurance. Further, the sophisticated agent reacts more sensitively to an insurance tax rate increase than the time-consistent agent.

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