This paper solves an empirically parameterised model of life-cycle consumption which extends the precautionary savings models of Carroll (1997), and Deaton (1991), to allow for uncollaterized borrowing and default. In case households choose to default: (i) their access to credit markets is...

Duality methods of linear and convex programming are applied to impute definite marginal values to the fixed inputs of a hydroelectric plant from the operating profit. Our earlier analysis of pumped storage (of energy and other cyclically priced goods) is thus extended to valuation of an...

We apply duality methods of linear and convex programming to the problems of operation and rental valuation of facilities for conversion and storage of cyclically priced goods, e.g. , energy. Both problems are approached by shadow-pricing the stock (which is a purely intermediate commodity); and...

The Wong-Viner Envelope Theorem on the equality of long-run and short-run marginal costs (LRMC and SRMC) is reformulated for convex but generally nondifferentiable cost functions. The marginal cost can be formalized as the multi-valued subdifferential a.k.a. the subgradient set but, in itself,...

We give variants on Berge's Maximum Theorem in which the lower and the upper semicontinuities of the preference relation are assumed for two different topologies on the action set, i.e., the set of actions availabe a priori to the decision-maker (e.g. a household with its consumption set). Two...

This is a new formal framework for the theory of competitive equilibrium and its applications. Our “short-run approach” means the calculation of long-run producer optima and general equilibria from the short-run solutions to the producer’s profit maximization programme and its dual. The...

This paper solves an empirically parameterized model of households’ optimal demand for nominal and inflation indexed annuities. The model incorporates mortality, inflation, and real interest rate risk. The model draws some interesting predictions. First, the welfare calculations on the access...

We investigate whether a rare event (like the default of the annuity provider) can explain the annuity market participation puzzle. High risk aversion is needed to change behavior in the presence of such a disastrous shock but higher risk aversion also makes annuities more valuable. Therefore,...

Using U.K. microeconomic data, we analyze the empirical determinants of voluntary annuity market demand. We find that annuity market participation increases with financial wealth, life expectancy and education and decreases with other pension income and a possible bequest motive for surviving...

Jim Tobin, who died on March 11, 2002 at the age of 84, was one of giants of economics of the second half of the twentieth century and the greatest macroeconomist of his generation. Tobin’s influence on macroeconomic theory is so pervasive - so much part of our professional ‘acquis’ - that...