This note offers a proof of the necessary conditions for optimal control problems that involve a finite number of discrete switches in the objective functional over the planning horizon.

This paper provides a new explanation for the hump-shaped age- consumption profile observed in household data. Standard life-cycle models are based on an optimization problem that spans the entire life expectancy. Alternatively, we examine the consumption profile of an individual with a shorter...

A multivariate technique called principal component analysis is used to combine measures of human development. The first principal component index is the linear combination of component indexes with maximal information content. This multivariate technique accounts for differences in the...

This note offers a new proof of the necessary conditions for fixed endpoint optimal control. Our approach simplifies the conventional derivation of the necessary conditions by using a transversality condition to ensure feasibility of modifications to the optimal path. We further prove that this...

Overconfidence is a widely documented phenomenon. Empirical evidence reveal two types of overconfidence in financial markets: investors both overestimate the average rate of return to their assets and underestimate uncertainty associated with the return. This paper explores implications of...

Overconfidence is a widely documented phenomenon. In this paper, we study the implications of consumer overconfidence in a life-cycle consumption/saving model. Our main analytical result is a necessary and sufficient condition under which any degree of overconfidence concerning the mean return...