We study an economy in which firms use labor and various vintages of capital in a CES production function for the final good. We explicitly solve for the investment in capital of a given vintage as a function of its age, and for the resulting stocks of capital. We show that for reasonable...

It is believed that changes in the varieties of an imported product might have effects on the import price index for the product that are similar to the effects of new goods on the cost of living. Recently, a new index number formula that incorporates the effects of new goods has been suggested...

Based on some elementary results on duality, the paper proposes a much simpler way of deriving the class of non-homothetic CES production functions which was derived as a solution to a partial differential equation that defines the elasticity of substitution.