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Titlebook: Optimality and Risk - Modern Trends in Mathematical Finance; The Kabanov Festschr Freddy Delbaen,Miklós Rásonyi,Christophe Stricker Book 20

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,On Certain Distributions Associated with the Range of Martingales,imum) reaches a certain threshold. The laws and the conditional laws of its value, maximum, and minimum at this time are simple and do not depend on the local martingale in question. As a consequence, the price and hedge of options which mature when the range reaches a given level are both model-fre
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Immersion Property and Credit Risk Modelling,rgement of a reference filtration with the progressive knowledge of a credit event occurrence has become a standard for reduced form modelling. It is known that such a construction rises mathematical difficulties, mainly relied to the properties of the random time. Whereas the invariance of the prop
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,On Comparison Theorem and its Applications to Finance,ow, that even though the proof of the generalized theorem follows that of the one-dimensional comparison theorem, the multi-dimensional case requires a different condition on the drift coefficient, known in the theory of differential equations as Kamke-Wazewski condition. We also present several exa
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Examples of FCLT in Random Environment,ic stationary random process (.(.,.),.(.,.))., treated as a “random environment”, where . is a small positive parameter. Random environment and Brownian motions are independent random objects. Functions .(.,.),.(.,.) are uniformly bounded and function ..(.,.) is uniformly positive. Random environmen
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,The Optimal Time to Exchange one Asset for Another on Finite Interval,ken over all stopping times from [0,.]. A similar problem, but on infinite interval, was studied by MacDonald and Siegel (Int. Econ. Rev. 26:331–349, .), and by Hu and Oksendal (Finance Stoch. 2(3):295–310, .), who also considered multiple assets. For a finite time horizon, the problem gets consider
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