Exponential L\'evy processes can be used to model the evolution of various financial variables such as FX rates, stock prices, etc. Considerable efforts have been devoted to pricing derivatives written on underliers governed by such processes, and the corresponding implied volatility surfaces...

We demonstrate that the funding value adjustments (FVAs) of major dealers are debt-overhang costs to their shareholders. In order to maximize shareholder value, dealer quotations therefore adjust for FVAs. Contrary to current valuation practice, FVAs are not themselves components of the market...

We demonstrate that the funding value adjustments (FVAs) of major dealers are debt-overhang costs to their shareholders. In order to maximize shareholder value, dealer quotations therefore adjust for FVAs. Our case examples include interest-rate swap FVAs and violations of covered interest...

We describe a new framework for collateralized exposure modelling under an ISDA Master Agreement with a Credit Support Annex. The proposed model captures legal and operational aspects of default in considerably greater detail than models currently used by most practitioners, while remaining...

We demonstrate that the funding value adjustments (FVAs) of major dealers are debt-overhang costs to their shareholders. In order to maximize shareholder value, dealer quotations therefore adjust for FVAs. Our case examples include interest-rate swap FVAs and violations of covered interest...

We develop a new high-performance spectral collocation method for the computation of American put and call option prices. The proposed algorithm involves a carefully posed Jacobi-Newton iteration for the optimal exercise boundary, aided by Gauss-Legendre quadrature and Chebyshev polynomial...

In this paper, we demonstrate that many stochastic volatility models have the undesirable property that moments of order higher than one can become infinite in finite time. As arbitrage-free price computation for a number of important fixed income products involves forming expectations of...

This paper presents a number of new theoretical results for replication of barrier options through a static portfolio of European put and call options. Our results are valid for options with completely general knock-out/knock-in sets, and allow for time- and state-dependent volatility as well as...