The purpose of this note is to describe, in terms of a power series, the distribution function of the exponential functional, taken at some independent exponential time, of a spectrally negative L\'evy process \xi with unbounded variation. We also derive a Geman-Yor type formula for Asian...

We start by showing that the finite-time absolute ruin probability in the classical risk model with constant interest force can be expressed in terms of the transition probability of a positive Ornstein-Uhlenbeck type process, say X. Our methodology applies to the case when the dynamics of the...

In this paper we study the two-dimensional joint distribution of the first passage time of a constant level by spectrally negative generalized Ornstein-Uhlenbeck processes and their primitive stopped at this first passage time. By using martingales techniques, we show an explicit expression of...

In this paper we analyze in what way the demand generated by dynamic hedging strategies affects the equilibrium prices of the underlying asset. We derive an explicit expression for the transformation of market volatility under the impact of hedging. It turns out that market volatility increases...

In this survey we discuss models with level-dependent and stochastic volatility from the viewpoint of erivative asset analysis. Both classes of models are generalisations of the classical Black-Scholes model; they have been developed in an effort to build models that are flexible enough to cope...

We deal with the valuration and hedging of non path-dependent European options on one or several underlyings in a model of an international economy which allows for both interest rate and exchange rate risk. Using martingale theory we provide a unified and easily applicable approach to pricing...

Standard derivative pricing theory is based on the assumption of the market for the underlying asset being infinitely elastic. We relax this hypothesis and study if and how a large agent whose trades move prices can replicate the payoff of a derivative contract. Our analysis extends a prior work...

The paper is concerned with counterparty credit risk for credit default swaps in the presence of default contagion. In particular, we study the impact of default contagion on credit value adjustments such as the Bilateral Collateralized Credit Value Adjustment (BCCVA) of Brigo et al. (2014) and...

We consider a market where the price of the risky asset follows a stochastic volatility model, but can be observed only at discrete random time points. We determine a local risk minimizing hedging strategy, assuming that the information of the agent is restricted to the observations of the price...

We consider a market where the price of the risky asset follows a stochastic volatility model, but can be observed only at discrete random time points. We determine a local risk minimizing hedging strategy, assuming that the information of the agent is restricted to the observations of the price...