This paper proposes an integrated pricing framework for convertible bonds, which comprises firm value evolving as an exponential jump diffusion, correlated stochastic interest rates movements and an efficient numerical pricing scheme. By construction, the proposed stochastic model fits in the...

The Gaussian affine interest rate models are widely used in the financial industry for pricing, hedging and also risk management purposes. We consider the multifactor models with time dependent parameters. Usually the models are simulated using some appropriate discretization schema because the...

This work provides a semi-analytic approximation method for decoupled forwardbackward SDEs (FBSDEs) with jumps. In particular, we construct an asymptotic expansion method for FBSDEs driven by the random Poisson measures with σ-finite compensators as well as the standard Brownian motions around...

This paper demonstrates how to value American interest rate options under the jump extended constant-elasticity-of-variance (CEV) models. We consider both exponential jumps (see Duffie, Pan, and Singleton (2000)) and lognormal jumps (see Johannes (2004)) in the short rate process. We show how to...

There are several pricing and risk model applications where the assumption of a deterministic LIBOR-OIS basis can lead to severe mispricing. By modeling such a basis using a jump-diffusion process, we show how stochastic basis can impact the valuation of specific deals such as zero-coupon swaps,...

In this paper we present new pricing formulas for some Power style contracts of European type when the underlying process is driven by an important class of Lévy processes, which includes CGMY model, generalized hyperbolic Model and Meixner Model, when no symmetry properties are assumed,...

This paper presents a novel framework for pricing and hedging of the Guaranteed Minimum Benefits (GMBs) embedded in variable annuities (VA) contracts whose underlying mutual fund dynamics evolve under the influence of the regime-switching model. Semi-closed form solutions for prices of various...