We analyze the joint convergence of sequences of discounted stock prices and the Radon-Nicodym derivatives of the minimal martingale measure when interest rates are stochastic. Therefrom we deduce the convergence of option values in either complete or incomplete markets. We particularize the...

In the setting of incomplete markets, this paper presents a general result of weak convergence for derivative assets prices. It is proved that the minimal martingale measure first introduced by Follmer and Schweizer is a convenient tool for the stabilization under convergence. This extends...

This paper examines the impact of a random number of stock prices changes on the valuation formula for options. The model introduces the structure of the general marked point process (MPP). The kind of models allows to take in account more general distributions of time interarrival: they need no...

In this paper, we study and extend the optimal portfolio positioning

The research on financial portfolio optimization has been originally developed by Markowitz (1952). It has been further extended in many directions, among them the portfolio insurance theory introduced by Leland and Rubinstein (1976) for the “Option Based Portfolio Insurance” (OBPI) and...

We consider a quasi-linear economy with satiation points for the public good which can be different from an individual to another. We prove that if the range of the support of the distribution of satiation points is greater than the average of satiation points, there always exist wealth...