详情
Endogenous Retirement, Endogenous Labor Supply, and Wealth Shocks
This paper answers the following question posed by Richard Roll: Should one work
less, or perhaps retire early, if her stock portfolio performs well? We show that in
a standard life-cycle model the answer to both questions is yes. We solve explicitly
for the endogenous retirement time and labor supply. We nd that human capital
acts like a portfolio of European put options on stock. The agent's labor choice
can be characterized by four regions (categorized according to the nancial wealth
of the agent at a given time): retire, vacation, work, and work-forever. We show
that for a constant wage when the agent's stock performs well, she will work less
and retire earlier. We also nd that poorer people (those whose stock returns are
worse) should 1)-invest less of their wealth in stock, and 2)-borrow heavily when
their stock does badly. We nd that the conditional volatility of labor income is
hump-shaped as a function of the stock price. An agent will invest fewer dollars in
the stock market when she has no future labor income.