Distorted probability operator for dynamic portfolio optimization in times of socio-economic crisis
Kerem Uğurlu, Tomasz Brzęczek
Abstract
Open-access reader
Kerem Uğurlu, Tomasz Brzęczek
Abstract
Open-access reader
and bounded costs or wealth using probability distortion is studied. The time inconsistency of these distortion operators and hence its lack of dynamic programming are discussed. Due to that, dynamic versions of these operators are introduced, and its availability for dynamic programming is demonstrated. Based on dynamic programming algorithm, existence of the optimal policy is justified and an application of the theory to portfolio optimization along with a numerical study is also presented.
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and bounded costs or wealth using probability distortion is studied. The time inconsistency of these distortion operators and hence its lack of dynamic programming are discussed. Due to that, dynamic versions of these operators are introduced, and its availability for dynamic programming is demonstrated. Based on dynamic programming algorithm, existence of the optimal policy is justified and an application of the theory to portfolio optimization along with a numerical study is also presented.
Key concepts: Dynamic programming, Mathematical optimization, Operator (biology), Portfolio, Distortion (music), Markov chain, Bounded function, Computer science