Arbeitspapier
Global Adapted Solution of One-Dimensional Backward Stochastic Riccati Equations, with Application to the Mean-Variance Hedging
We obtain the global existence and uniqueness result for a one-dimensional back- ward stochastic Riccati equation, whose generator contains a quadratic term of L (the second unknown component). This solves the one-dimensional case of Bismut- Peng's problem which was initially proposed by Bismut (1978) in the Springer yellow book LNM 649. We use an approximation technique by constructing a sequence of monotone generators and then passing to the limit. We make full use of the special structure of the underlying Riccati equation. The singular case is also discussed. Finally, the above results are applied to solve the mean-variance hedging problem with stochastic market conditions.
- Language
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Englisch
- Bibliographic citation
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Series: CoFE Discussion Paper ; No. 00/26
- Classification
-
Wirtschaft
- Subject
-
Kontrolltheorie
Stochastischer Prozess
Optionspreistheorie
Hedging
Theorie
- Event
-
Geistige Schöpfung
- (who)
-
Kohlmann, Michael
Tang, Shanjian
- Event
-
Veröffentlichung
- (who)
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University of Konstanz, Center of Finance and Econometrics (CoFE)
- (where)
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Konstanz
- (when)
-
2000
- Handle
- URN
-
urn:nbn:de:bsz:352-opus-5751
- Last update
-
10.03.2025, 11:42 AM CET
Data provider
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ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. If you have any questions about the object, please contact the data provider.
Object type
- Arbeitspapier
Associated
- Kohlmann, Michael
- Tang, Shanjian
- University of Konstanz, Center of Finance and Econometrics (CoFE)
Time of origin
- 2000
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