An ambiguity averse decision-maker contemplates investment of a fixed size capital into a project with a stochastic profit stream under the Knightian uncertainty. Multiple priors are modeled as a ``cloud" of diffusion processes with embedded compound Poisson jumps. The ``cloud" contains the...

We study a stochastic version of Fudenberg--Tirole's preemption game. Two firms contemplate entering a new market with stochastic demand. Firms differ in sunk costs of entry. If the demand process has no upward jumps, the low cost firm enters first, and the high cost firm follows. If leader's...

Continuous time models in the theory of real options give explicit formulas for optimal exercise strategies when options are simple and the price of an underlying asset follows a geometric Brownian motion. This paper suggests a general, computationally simple approach to real options in discrete...

ATSM are widely applied for pricing of bonds and interest rate derivatives but the consistency of ATSM when the short rate, r, is unbounded from below remains essentially an open question. First, the standard approach to ATSM uses the Feynman-Kac theorem which is easily applicable only when r is...

The non-gaussianity of processes observed in financial markets and relatively good performance of gaussian models can be reconciled by replacing the Brownian motion with Levy processes whose Levy densities decay as exp(-lambda|x|) or faster, where lambda0 is large. This leads to asymptotic...

This paper provides a general framework for pricing of real options in continuous time for wide classes of payoff streams that are functions of Levy processes. As applications, we calculate the option values of multi-stage investment/disinvestment problems (sequences of embedded options, which...

We solve the pricing problem for perpetual American puts and calls on dividend-paying assets. The dependence of a dividend process on the underlying stochastic factor is fairly general: any non-decreasing function is admissible. The stochastic factor follows a Levy process. This specification...

We derive explicit formulas for time decay, for the European call and put options at expiry, and use them to calculate analytical approximations to the price of the American put and early exercise boundary near expiry. We show that for many families of non-Gaussian processes used in empirical...

Affine term structure models are widely applied for pricing of bonds and interest rate derivatives but the consistency of affine term structure models (ATSM) in cases when the short rate may be unbounded from below remains essentially an open question. The main stress in the classification paper...

This paper provides a general framework for pricing of real options in continuous time for wide classes of payoff streams that are functions of Levy processes. As applications, we calculate the option values of multi-stage investment/disinvestment problems (sequences of embedded options, which...