We compute the expected value and the variance of the discretization error of delta hedging and of other strategies in the presence of proportional transaction costs. The method, based on Laplace transform, applies to a fairly general class of models, including Black-Scholes, Merton's...

Implied volatilities of interest rate derivatives present some distinctive features, like the inverse relation with the underlying rates and the humped or decreasing shape of their term structure. The objective of this paper is to analyze and explain such features in a Gaussian framework. We...

We explicitly compute the optimal strategy in discrete time for a European option and the variance of the corresponding hedging error under the hypothesis that the underlying is a martingale following a Geometric Brownian motion.

An algorithm is proposed for the discrete approximation of continuous market price processes that uses trees instead of lattices. It is shown that it is convergent when used for pricing both European and American options and that it is more efficient, for some models, than the usual recombining...

In the last years there has been a large diffusion of financial contracts within retail costumers and some sectors of the economic and institutional world. CONSOB, the Italian supervisory authority, in a document of 2009 (CONSOB, 2009), asserts that such contracts are often constructed through...

This article proposes a calibration algorithm that fits multifactor Gaussian models to the implied volatilities of caps with the use of the respective minimal consistent family to infer the forward‐rate curve. The algorithm is applied to three forward‐rate volatility structures and their...

We investigate the performance of Socially Responsible Funds (SRFs) and Conventional Funds (CFs) in different market segments during the 1992-2012 period. From an unbalanced sample of more that 22,000 funds, we define a matched sample using a beta-distance measure to match any SRF with the...