کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1155748 | 958764 | 2011 | 34 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Dynamic Markov bridges motivated by models of insider trading
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
Given a Markovian Brownian martingale Z, we build a process X which is a martingale in its own filtration and satisfies X1=Z1. We call X a dynamic bridge, because its terminal value Z1 is not known in advance. We compute its semimartingale decomposition explicitly under both its own filtration FX and the filtration FX,Z jointly generated by X and Z. Our construction is heavily based on parabolic partial differential equations and filtering techniques. As an application, we explicitly solve an equilibrium model with insider trading that can be viewed as a non-Gaussian generalization of the model of Back and Pedersen (1998) [3], where the insider's additional information evolves over time.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Stochastic Processes and their Applications - Volume 121, Issue 3, March 2011, Pages 534-567
Journal: Stochastic Processes and their Applications - Volume 121, Issue 3, March 2011, Pages 534-567
نویسندگان
Luciano Campi, Umut Ãetin, Albina Danilova,