We study a one-sector stochastic optimal growth model with a representative agent. Utility is logarithmic and the production function is of the Cobb-Douglas form with capital exponent <InlineEquation ID="Equ1"> <EquationSource Format="TEX">$\alpha $</EquationSource> </InlineEquation>. Production is affected by a multiplicative shock taking one of two values with positive...</equationsource></inlineequation>

We study a one-sector stochastic optimal growth model with a representative agent. Utility is logarithmic and the production function is of the Cobb-Douglas form with capital exponent alpha. Production is affected by a multiplicative shock taking one of two values with positive probabilities p...