Impulse control with random reaction periods: A central bank intervention problem

We model an impulse control problem when the controller’s action affects the state as well as the dynamics of the state process for a random amount of time. We apply our model to solve a central bank intervention problem in the foreign exchange market when the market observes and reacts to the bank’...

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Veröffentlicht in:Operations research letters 2012-11, Vol.40 (6), p.425-430
Hauptverfasser: Bensoussan, Alain, Long, Hongwei, Perera, Sandun, Sethi, Suresh
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container_end_page 430
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container_title Operations research letters
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creator Bensoussan, Alain
Long, Hongwei
Perera, Sandun
Sethi, Suresh
description We model an impulse control problem when the controller’s action affects the state as well as the dynamics of the state process for a random amount of time. We apply our model to solve a central bank intervention problem in the foreign exchange market when the market observes and reacts to the bank’s interventions.
doi_str_mv 10.1016/j.orl.2012.06.012
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subjects Applied sciences
Banks
Calculus of variations and optimal control
Central bank interventions
Dynamics
Exact sciences and technology
Impulse control
Impulses
Market reactions
Markets
Mathematical analysis
Mathematics
Operational research and scientific management
Operational research. Management science
Operations research
Portfolio theory
Sciences and techniques of general use
Variational inequality
title Impulse control with random reaction periods: A central bank intervention problem
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