The Basel Committee of Banking Supervision has recently set out the revised standards for minimum capital requirements for market risk. The Committee has focused, among other things, on the two key areas of moving from Value-at-Risk (VaR) to Expected Shortfall (ES) and considering a...

Model and parameter uncertainties are ubiquitous whenever a parametric model is selected to value a derivative instrument. Combining the Monte Carlo method and the Smolyak interpolation algorithm, this paper proposes an accurate and efficient numerical method to quantify the uncertainty embedded...

The two main issues for managing wrong way risk (WWR) for the credit valuation adjustment (CVA, i.e. WW-CVA) are calibration and hedging. Hence we start from a novel model-free worst-case approach based on static hedging of counterparty exposure with liquid options. We say "start from" because...

We develop a coherent framework for the valuation of real assets and determination of the optimal time to invest. To this end, we model the stochastic nature of income and develop methodologies for valuing traded derivatives to facilitate model calibration. A valuation paradigm for...

The analytic method of Chen, Cosimano, and Himonas (CCH 2009) is extended to prove that the continuous time version of the long run risk model of Bansal and Yaron (2004) has an analytic solution. The long run risk model is dependent on the recursive utility introduced by Duffie and Epstein...

In this paper we study the stochastic area swept by a regular time-homogeneous diffusion till a stopping time. This unifies some recent literature in this area. Through stochastic time change we establish a link between the stochastic area and the stopping time of another associated...

In this paper, we adopt a partial differential equation (PDE) approach to calculate price and risk measures for mortgage backed securities (MBS). The interest rate path-dependency is handled by an augmented state variable with discrete updating. Compared with the Monte Carlo method, valuation...

In this paper we study the Omega risk model with surplus-dependent tax payments in a time-homogeneous diffusion setting. The new model incorporates practical features from both the Omega risk model(Albrecher and Gerber and Shiu (2011)) and the risk model with tax(Albrecher and Hipp (2007)). We...

We analyze model risk for the pricing of barrier options. In contrast to existing literature, this paper is based on an empirical data set of over 40,000 bonus certificates to analyze the real market extent of model risk for traded barrier options instead of purely synthetic options. For this...