Using the Hamilton-Jacobi-Bellman equation, we derive both a Keynes-Ramsey rule and a closed form solution for an optimal consumption-investment problem with labor income. The utility function is unbounded and uncertainty stems from a Poisson process. Our results can be derived because of the...

Banks should evaluate whether a borrower is likely to default. I apply several techniques in the extensive mathematical literature of stochastic optimal control/dynamic programming to derive an optimal debt in an environment where there are risks on both the asset and liabilities sides. The...

This paper combines the standard incomplete markets model of uninsurable idiosyncratic risks and borrowing constraints with the Arrow/Romer approach to endogenous growth to analyze the interaction of risk, growth, and inequality, the latter also endogenously determined in equilibrium. We derive...

This paper integrates into public economics a biologically founded, stochastic process of individual ageing. The novel approach enables us to investigate the interaction between health and retirement policy in order to quantitatively characterize the optimal joint design of the social insurance...

We consider discounted-utility models with a reference stream of outcomes. We provide a common framework for the main empirically supported discount functions in terms of three underlying functions: The delay, speedup and generating functions. Each of the delay and speedup functions can be...

In this paper we set up an overlapping generations model of gerontological founded human aging that takes the interaction between R&D-driven medical progress and access to health care into account. We use the model to explore potential futures of human health and longevity. For the baseline...

This paper develops a new equilibrium model of two-sided search where agents have multiple attributes and general payoff functions. The model can be applied to several substantive issues. Here we use it to provide a novel understanding of the separate effects of equal opportunities for women in...

This paper combines the standard incomplete markets model of uninsurable idiosyncratic risks and borrowing constraints with the Arrow/Romer approach to endogenous growth to analyze the interaction of risk, growth, and inequality, the latter also endogenously determined in equilibrium. We derive...

This paper develops a new equilibrium model of two-sided search where agents have multiple attributes and general payoff functions. The model can be applied to several substantive issues. Here we use it to provide a novel understanding of the separate effects of equal opportunities for women in...

In this paper we have assessed an influence of the NYSE Stock Exchange indexes (DJIA and NASDAQ) and European Stock indexes (DAX and FTSE) on the Warsaw Stock Exchange index WIG within a framework of a GARCH model. By applying a procedure of checking predictive quality of econometric models as...