Arbeitspapier

Optimal stopping with f-expectations: The irregular case

We consider the optimal stopping problem with non-linear f-expectation (induced by a BSDE) without making any regularity assumptions on the reward process xi. We show that the value family can be aggregated by an optional process Y . We characterize the process Y as the Ef-Snell envelope of xi. We also establish an infinitesimal characterization of the value process Y in terms of a Reflected BSDE with xi as the obstacle. To do this, we first establish a comparison theorem for irregular RBS DEs. We give an application to the pricing of American options with irregular pay-off in an imperfect market model.

Language
Englisch

Bibliographic citation
Series: Center for Mathematical Economics Working Papers ; No. 587

Classification
Wirtschaft

Event
Geistige Schöpfung
(who)
Grigorova, Miryana
Imkeller, Peter
Ouknine, Youssef
Quenze, Marie-Claire
Event
Veröffentlichung
(who)
Bielefeld University, Center for Mathematical Economics (IMW)
(where)
Bielefeld
(when)
2017

Handle
URN
urn:nbn:de:0070-pub-29304233
Last update
10.03.2025, 11:43 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Grigorova, Miryana
  • Imkeller, Peter
  • Ouknine, Youssef
  • Quenze, Marie-Claire
  • Bielefeld University, Center for Mathematical Economics (IMW)

Time of origin

  • 2017

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