<title>Abstract</title> Foreign exchange options are studied in the Heston stochastic volatility model for the exchange rate combined with the Cox <italic>et al</italic>. dynamics for the domestic and foreign stochastic interest rates. The instantaneous volatility is correlated with the dynamics of the exchange rate return,...

We propose a fairly general framework which allows one to perform Credit Value Adjustment (CVA) computations for a contract with bilateral counterparty risk in the presence of (a) systemic risk and (b) wrong-way or right-way risks. Our methodology focuses on the role of alternative settlement...

The innovative information-based framework for credit risk modeling, proposed recently by Brody, Hughston, and Macrina, is extended to a more general and practically important setup of random interest rates. We first introduce the market model, and we derive an explicit expression for...

Forward start options are examined in Heston's (Review of Financial Studies 6 (1993) 327–343) stochastic volatility model with the CIR (Econometrica 53 (1985) 385–408) stochastic interest rates. The instantaneous volatility and the instantaneous short rate are assumed to be correlated with...

The paper provides simple and rigorous, albeit fairly general, derivations of valuation formulae for credit default swaptions and credit default index swaptions. Results of this work cover as special cases the pricing formulae derived previously by Jamshidian [Finance and Stochastics 8 (2004)...

We examine the asymptotic behaviour of the call price surface and the associated Black-Scholes implied volatility surface in the small time to expiry limit under the condition of no arbitrage. In the final section, we examine a related question of existence of a market model with non-convergent...

The goal of this work is to examine the PDE approach to the valuation and hedging of defaultable claims in a Markovian model of credit risk. Our approach is based on the previous work by Bielecki et al. [3]. We extend the results in [3] by considering a general credit risk model, in which the...