We analyze the joint convergence of sequences of discounted stock prices and 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 illustrate the general...

We study the dynamics of the spread between US corporate and Treasury bonds. We focus on Aaa and Baa corporate yield indices and estimate nonparametrically the dynamics of the spreads assuming that they follow a univariate diffusion process. Using technique developed for interest rate processes...

This paper examines some properties of optimal portfolio positioning that are linked with the risk aversion and the prudence of the investor. It introduces the ratio of the degree of absolute prudence on the absolute risk aversion. This one allows the analysis of the degree of...

Portfolio insurance allows investors to recover, at maturity, a given percentage of their initial invsetment. This limits downside risk in falling markets and allows some participation in rising markets. One of the standard portfolio insurance methods is the Constant Proportion Portfolio...

We consider the investor choice among standardized portfolios, which are based on cash, bond and stock indexes. We present the intertemporal optimization problem with commonly used utility functions. We provide a method to determine the optimal investor's choice, based on the knowledge of...