In this paper, we show that the calibration to an implied volatility surface and the pricing of contingent claims can be as simple in a jump-diffusion framework as in a diffusion framework. Indeed, after defining the jump densities as those of diffusions sampled at independent and exponentially...

We study three types of practical optimization problems faced by a firm that can control its liquid reserves by paying dividends and by issuing new equity. In the first problem, we consider the classical dividend problem without equity issuance. The second problem aims at maximizing the expected...

We study three types of practical optimization problems faced by a firm that can control its liquid reserves by paying dividends and by issuing new equity. In the first problem, we consider the classical dividend problem without equity issuance. The second problem aims at maximizing the expected...

In a Markovian setting, we introduce a class of pricing measures and forward measures. Using multiplicative perturbation theory of Markovian semigroups, we study the relationship between the pricing semigroup and the forward semigroup, and obtain the forward semigroup pricing method....

This paper considers the problem of numerically evaluating American option prices when the dynamics of the underlying are driven by both stochastic volatility following the square root process of Heston [18], and by a Poisson jump process of the type originally introduced by Merton [25]. We...

This paper is concerned with option pricing in an incomplete market driven by a jump-diffusion process. We price options according to the principle of utility indifference. Our main contribution is an efficient multi-nomial tree method for computing the utility indifference prices for both...

We obtain lower and upper bounds on option prices in one-dimensional jump-diffusion markets with point process components. Our proofs rely in general on the classical Kolmogorov equation argument and on the propagation of convexity property for Markov semigroups, but the bounds on intensities...

This study adopts the autoregressive conditional jump intensity (ARJI) model proposed by Chan and Maheu [J. Business Econ. Stat. 20 (2002) 377–389] to investigate the impact of news on SIMEX-Nikkei 225 and CME-Nikkei 225 (regards it as the twins). Empirical results demonstrate that the twins...