Expected Supremum Representation of the Value of a Singular Stochastic Control Problem
Autor: | E., Luis H. R. Alvarez, Matomäki, Pekka |
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Rok vydání: | 2015 |
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Druh dokumentu: | Working Paper |
Popis: | We consider the problem of representing the value of singular stochastic control problems of linear diffusions as expected suprema. Setting the value accrued from following a standard reflection policy equal with the expected value of a unknown function at the running supremum of the underlying is shown to result into a functional equation from which the unknown function can be explicitly derived. We also consider the stopping problem associated with the considered singular stochastic control problem and present a similar representation as an expected supremum in terms of characteristics of the control problem. Comment: 22 pages, 1 figure |
Databáze: | arXiv |
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