We study the Leland model for hedging portfolios in the presence of a constant proportional transaction costs coefficient. The modified Leland's strategy recently defined by the second author, contrarily to the classical one, ensures the asymptotic replication of a large class of payoff. In this...

The investment procedure prescribes the stages and tests through which all investment projects must pass before being accepted or not. It governs the conditions of acceptability and constitutes a powerful device of a priori control. In this paper, we intend to understand how investment...

Leland’s approach to the hedging of derivatives under proportional transaction costs is based on an approximate replication of the European-type contingent claim V T using the classical Black–Scholes formula with a suitably enlarged volatility. The formal mathematical framework is a scheme...

We give characterizations of asymptotic arbitrage of the first and second kind and of strong asymptotic arbitrage for a sequence of financial markets with small proportional transaction costs λ n on market n, in terms of contiguity properties of sequences of equivalent probability measures...

The investment procedure prescribes the stages and tests through which all investment projects must pass before being accepted or not. It governs the conditions of acceptability and constitutes a powerful device of a priori control. In this paper, we intend to understand how investment...

In contrast with the classical models of frictionless financial markets, market models with proportional transaction costs, even satisfying usual no-arbitrage properties, may admit arbitrage opportunities of the second kind. This means that there are self-financing portfolios with initial...