A continuous time model of cash management is formulated with stochastic demand and allowing for positive and negative cash balances. The form of the optimal policy is assumed to be of a simple form (d, D, U, u). The parameters of the optimal policy are explicitly evaluated and the properties of...

Kamin's theorem [Kamin, Jules H. 1975. Optimal portfolio revision with a proportional transaction cost. Management Sci. 21 (11, July).] on portfolio revision with proportional transaction costs is extended to allow for hyperbolic absolute risk averse investors and for the possibility of...

The effect of convex transactions costs on consumers' derived utility functions and on optimal consumption and investment decisions is examined in a general multiperiod framework. The extent to which multiperiod consumption-investment behavior and capital market equilibrium may be studied in a...