Saving and Investing for Early Retirement: A Theoretical Analysis

Abstract

We study optimal consumption and portfolio choice in a framework where investors save for early retirement and assume that agents can adjust their labor supply only through an irreversible choice of their retirement time. We obtain closed form solutions and analyze the joint behavior of retirement time, portfolio choice, and consumption. Investing for early retirement tends to increase savings and stock market exposure, and reduce the marginal propensity to consume out of accumulated personal wealth. Contrary to common intuition, prior to retirement an investor might find it optimal to increase the proportion of financial wealth held in stocks as she ages, even when she receives a constant income stream and the investment opportunity set is also constant. This is particularly true when the wealth of the investor increases rapidly due to strong stock market performance, as was the case in the late 1990's. We also show that the model can potentially provide a rational explanation for the paradoxical fact that some investors saving for retirement chose to increase their allocation to stocks as the market was booming and reduce it thereafter.

Keywords: Retirement, Portfolio Choice, Marginal Propensity to Consume, Indivisible Labor

JEL Classification: G0, E2