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...

This paper extends the known results on the equivalence between market completeness and the uniqueness of martingale measures for finite asset economies, to the infinite asset case. Our arguments employ results from the theory of linear operators between locally convex topological vector spaces....

Loan commitments represent more than 82 percent of all commercial and industrial loans by domestic banks. This paper develops a valuation model for loan commitments incorporating early exercise, multiple fees, partial exercise and credit risk. The model is analytically tractable and easy to...

In a frictionless and competitive economy, where high frequency (HF) traders possess no market power, this paper characterizes necessary and sufficient conditions on the price process and information sets for HF traders to earn abnormal trading profits. Two sufficient conditions shown to...

This paper uses a conditional law of large numbers and a conditional central limit theorem to provide simplified asymptotic valuation formulas for credit derivatives on baskets, including synthetic and cash-flow CDOs. In particular, approximate pricing procedures are provided for synthetic and...

This paper studies capital adequacy rules based on Value-at-Risk (VaR), leverage ratios, and stress testing. VaR is the basis of Basel II, and all three approaches are proposed in Basel III. This paper makes three contributions to the literature. First, we prove that these three rules provide an...