We prove simple general formulas for expectations of functions of a Lévy process and its running extremum. Under additional conditions, we derive analytical formulas using the Fourier/Laplace inversion and Wiener-Hopf factorization, and discuss efficient numerical methods for realization of...

In our previous publications (IJTAF 2019, Math. Finance 2020), we introduced a general class of SINH-regular processes and demonstrated that efficient numerical methods for the evaluation of the Wiener-Hopf factors and various probability distributions (prices of options of several types) in...

We explain essentially all known discounted utility anomalies as artefacts of the optimizing behavior of an individual with a time-separable utility function, who perceives a good as a source of a stochastic consumption stream, and believes that she can wait for an optimal moment to buy or sell...

In the paper, we develop a very fast and accurate method for pricing double barrier options with continuous monitoring in wide classes of Levy models; the calculations are in the dual space, and the Wiener-Hopf factorization is used. For wide regions in the parameter space, the precision of the...

Recently, advantages of conformal deformations of the contours of integration in pricing formulas for European options have been demonstrated in the context of wide classes of L'evy models, the Heston model and other affine models. Similar deformations were used in one-factor L'evy models to...

Here, two highly experienced authors present an alternative approach to optimal stopping problems. The basic ideas and techniques of the approach can be explained much simpler than the standard methods in the literature on optimal stopping problems. The monograph will teach the reader to apply...

A general framework for pricing of real options in continuous time for wide classes of payoff streams that are monotone functions of a Levy process is provided. Exercise rules are formulated in terms of statistics of record-setting low payoffs and can be viewed as an extension of Bernanke's bad...

We explicitly solve the pricing problem for perpetual American puts and calls, and provide an efficient semi-explicit pricing procedure for options with finite time horizon. Contrary to the standard approach, which uses the price process as a primitive, we model the price process as the expected...