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1.
We study a pricing barrier control problem in a regime-switching regulated market. In doing so, we analyze a class of one-dimensional reflected regime-switching diffusion processes. Such diffusion models arise as the key approximating processes in a regulated financial market system with the presence of regime changes. Our main goal is to determine optimal pricing barriers as solutions of long-run average mean–variance optimization problems. More precisely, the optimal barrier, if exists, will be to maximize the long-run average expected return (i.e. steady-state mean) subject to a selected level of long-run average risk (i.e. steady-state variance). 相似文献
2.
Tina Hviid Rydberg 《Finance and Stochastics》1997,1(3):251-257
Simple sufficient conditions for the existence of a unique equivalent martingale measure are provided. Furthermore, these
conditions give us a handle on situations where an equivalent martingale measure cannot exist. The existence of a unique equivalent
martingale measure is of relevance to problems in mathematical finance. Two examples of models for which the question of existence
was unresolved are studied. By means of our results existence of a unique equivalent measure up to an explosion time is proved. 相似文献