We consider perpetual Bermudan options and more general perpetual American options in discrete time. For wide classes of processes and pay-offs, we obtain exact analytical pricing formulae in terms of the factors in the Wiener-Hopf factorization formulae. Under additional conditions on the...

This paper provides a general framework for pricing of real options for wide classes of payoff streams that are functions of Levy processes. As applications, we calculate the values of sequences of embedded options, (which we call Russian dolls), and study two models of expansion of a monopoly....

We give short proofs of general theorems about optimal entry and exit problems in Levy models, when payoff streams may have discontinuities and be non-monotone. As applications, we consider exit and entry problems in the theory of real options, and an entry problem with an embedded option to exit

We review popular methods for pricing European options based on the Fourier expansion of the payoff function (iFT method) and the trapezoid rule, and suggest several new efficient variations. The first variation is a group of PMwFT methods (Payoff Modification with Fourier Transform), which...

We study a stochastic version of Fudenberg and Tirole's (1985) preemption game to analyze the effects of jumps in the underlying uncertainty on equilibrium strategies. Two firms contemplate entering a new market where the demand follows a jump-diffusion process. Firms differ is the sunk costs of...

Characteristic functions of several popular classes of distributions and processes admit analytic continuation into unions of strips and open coni around the line of integration in the complex plane.The Fourier transform techniques reduces calculation of probability distributions and option...