It is well documented that a model for the underlying asset price process that seeks to capture the behaviour of the market prices of vanilla options needs to exhibit both diffusion and jump features. In this paper we assume that the asset price process S is Markov with càdlàg paths and...

It is a widely recognized fact that risk-reversals play a central role in the pricing of derivatives in foreign exchange markets. It is also known that the values of risk-reversals vary stochastically with time. In this paper we introduce a stochastic volatility model with jumps and local...

Modeling stock prices via jump processes is common in financial markets. In practice, to hedge a contingent claim one typically uses the so-called delta-hedging strategy. This strategy stems from the Black-Merton-Scholes model where it perfectly replicates contingent claims. From the theoretical...

The Dodd-Frank Act and the recently proposed Basel Committee regulatory framework for CCPs are a game changer for counterparty credit risk management. The practice of charging an upfront fee as a Credit Valuation Adjustment (CVA) to provision against counterparty credit risk liabilities is being...