This article shows that the nonstandard approach to stochastic integration with respect to (C^2 functions of) Lévy processes is consistent with the classical theory of pathwise stochastic integration with respect to (C^2 functions of) jump-diffusions with finite-variation jump part. It is...

We prove that in smooth Markovian continuous-time economies with potentially complete asset markets, Radner equilibria with endogenously complete markets exist. -- Potentially complete market ; Continuous-time financial ; market ; Radner equilibrium ; Itô diffusion ; Analytic transition density

For a continuous-time financial market with a single agent, we establish equilibrium pricing formulae under the assumption that the dividends follow an exponential Lévy process. The agent is allowed to consume a lump at the terminal date; before, only flow consumption is allowed. The agent's...

This article shows that the nonstandard approach to stochastic integration with respect to (C² functions of) Lévy processes is consistent with the classical theory of pathwise stochastic integration with respect to (C² functions of) jump-diffusions with finite-variation jump part. It is...

We prove that in smooth Markovian continuous-time economies with potentially complete asset markets, Radner equilibria with endogenously complete markets exist.