We suggest new efficient integral representations and methods for evaluation of pdfs, cpds and quantiles of stable distributions. For wide regions in the parameter space, absolute errors of order 10 can be achieved in 0.005-0.1 msec (Matlab implementation), even when the index of the...

The pricing problem for American options in Markov-modulated Lévy models is solved. The early exercise boundaries and prices are calculated using a generalization of Carr's randomization procedure for regime-switching models. The pricing procedure is efficient even if the number of states is...

A general numerical method for pricing American options in regime switching jump diffusion models of stock dynamics with stochastic interest rates and/or volatility is developed. Time derivative and infinitesimal generator of the process for factors that determine the dynamics of the interest...

This paper provides a general framework for pricing of perpetual American and real options in regime-switching Levy models. In each state of the Markov chain, which determines switches from one Levy process to another one, the payoff stream is a monotone function of the Levy process labelled by...

The real options approach is used to explain discounted utility anomalies as artifacts of the optimizing behavior of an individual with standard preferences, who perceives the utility from consumption in the future as uncertain. For this individual,waiting is valuable because uncertainty is...

Integral representations for expectations of functions of a stable L\'evy process $X$ and its supremum $\bar X$ are derived. As examples, cumulative probability distribution functions (cpdf) of $X_T, \barX_T$, the joint cpdf of $X_T$ and $\barX_T$, and the expectation of $(\be X_T-\barX_T)_+$,...

We prove a simple general formula for the expectation of a function of a Lévy process and its running extremum, which is more convenient for applications than general formulas in the first version of the paper. The derivation of explicit formulas in applications significantly simplifies.Under...

We prove simple general formulas for expectations of functions of a random walk and its running extremum. Under additional conditions, we derive analytical formulas using the inverse $Z$-transform, the Fourier/Laplace inversion and Wiener-Hopf factorization, and discuss efficient numerical...