This paper investigates the optimal retirement of an individual in the presence of involuntary unemployment risks and borrowing constraints in a complete market with frictions. An intensity model and loading factors are used to illustrate these involuntary unemployment risks and frictions in...

We develop a new approach for solving the optimal retirement problem for an individual with an unhedgeable income risk. The income risk stems from a forced unemployment event, which occurs as an exponentially-distributed random shock. The optimal retirement problem is to determine the...

In this paper, we develop a new dynamic programming approach for solving an optimal retirement model in a two-dimensional incomplete market, which is induced by forced unemployment risk and borrowing constraints. We show that the two dimensions jointly affect an individual's optimal consumption,...

In this paper we generalize the following result of Yaari (1965) on annuitization with an agent's optimal retirement: it is optimal for individuals to annuitize all of their wealth in the absence of bequest motive. We have other results that refine or extend the result of Yaari (1965). Full...

We develop a full mathematical theory in a quantitatively focused study especially for optimal annuitization with early retirement. Analytically tractable optimal consumption/investment strategies and wealth process are obtained with mandatory retirement on a finite date. Compared to the...