This article analyzes the trade-off between ÏcautionÓ and ÏintensityÓ in the use of the control variable in a one-state one-control dynamic stochastic quadratic linear optimization problem with discount factor. It studies the effects that changes in uncertainty of the control parameter have...

We solve an agent's optimization problem of meeting demands for cash over time with cash deposited in bank or invested in stock. The stock pays dividends and uncertain capital gains, and a commission is incurred in buying and selling of stock. We use a stochastic maximum principle to obtain...

Since 1973 currency market has been dominated by US-Dollar cycles, the so called long swings. The long swinging behaviour of the dollar has been confirmed also by its strong depreciation against the Euro, registered in the last three years. Periods of steady appreciation followed by period of...

In this essay, it is shown that in the Hoel and Karp (2001) model of global warming, the optimal response of taxes for a stock pollutant with mutiplicative uncertainty is opposite when the control variable is pollution taxes instead of emissions. In this case, the election of control variable...

We study a problem of optimal consumption and portfolio selection in a market where the logreturns of the uncertain assets are not necessarily normally distributed. The natural models then involve pure-jump Lévy processes as driving noise instead of Brownian motion like in the Black and Scholes...

Consider a firm with an arbitrary profit function whose relative price follows a Brownian motion with negative drift. When the firm faces a fixed cost of price adjustment, we prove the optimal pricing policy is a control band if the following sufficient conditions are met: the profit function is...