In this article the problem of the American option valuation in a L´vy process setting is analyzed. The perpetual case is first considered. Without possible discontinuities (i.e. with negative jumps inthe call case), known results concerning the currency option value as well as the exercise...

A new class of risk measures called cash sub-additive risk measures is introduced to assess the risk of future financial, non-financial and insurance positions. The debated cash additive axiom is relaxed into the cash sub-additive axiom to preserve the original difference between the numeraire...

This paper develops a default-risky bond pricing model, which assumes that the default intensity is driven by a Markov chain and which accounts for default and liquidity risk. A representation of the bond price dynamics, which separates three different types of risk, was obtained. Introducing...

This paper studies in some examples the role of information in a default-risk framework. In a first-passage model, we assume that investors obtain two types of information about the firm’s unlevered asset value at a discrete sequence of dates. The effects of information on the distributional...

In this paper we give a financial justification, based on non arbitrage conditions,of the (H) hypothesis in default time modelling. We also show how the (H) hypothesis isaffected by an equivalent change of probability measure.[...]