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Skew Ornstein-Uhlenbeck processes and their financial applications - MaRDI portal

Skew Ornstein-Uhlenbeck processes and their financial applications (Q2510020)

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Skew Ornstein-Uhlenbeck processes and their financial applications
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    Skew Ornstein-Uhlenbeck processes and their financial applications (English)
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    31 July 2014
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    The paper establishes the existence and uniqueness of the skew Ornstein-Uhlenbeck process satisfying a certain stochastic differential equation with local time, and calculates its transition densities and first hitting time. As applications, the authors propose an effective price dynamics in a regulated market and relate their theoretical results to financial markets combined with default risk.
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    skew Ornstein-Uhlenbeck processes
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    spectral expansion
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    transition densities
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    first hitting time
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    Laplace transform
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