Article ID Journal Published Year Pages File Type
1155964 Stochastic Processes and their Applications 2011 29 Pages PDF
Abstract

The information-based asset-pricing framework of Brody–Hughston–Macrina (BHM) is extended to include a wider class of models for market information. To model the information flow, we introduce a class of processes called Lévy random bridges (LRBs), generalising the Brownian bridge and gamma bridge information processes of BHM. Given its terminal value at TT, an LRB has the law of a Lévy bridge. We consider an asset that generates a cash-flow XTXT at TT. The information about XTXT is modelled by an LRB with terminal value XTXT. The price process of the asset is worked out, along with the prices of options.

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Physical Sciences and Engineering Mathematics Mathematics (General)
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